n=6, k0=2, k1=1
Optimal Minimum Distance: 3
Generator Matrices that generate Codes having Optimal Minimum Distance: 239, 240, 246, 248, 254, 255, 351, 352, 372, 376, 380, 383, 414, 416, 428, 432, 444, 446, 478, 479, 492, 495, 500, 502, 719, 720, 726, 728, 734, 735, 847, 848, 868, 872, 876, 879, 918, 920, 932, 936, 948, 950, 990, 991, 1004, 1007, 1012, 1014, 1119, 1120, 1135, 1136, 1182, 1184, 1206, 1208, 1246, 1247, 1278, 1279, 1324, 1328, 1332, 1336, 1388, 1391, 1404, 1407, 1460, 1462, 1468, 1470, 1624, 1631, 1640, 1647, 1680, 1694, 1704, 1718, 1743, 1750, 1775, 1782, 1808, 1816, 1836, 1844, 1871, 1887, 1892, 1908, 1942, 1950, 1956, 1964,
Total No. of Codes having Optimal Minimum Distance: 96
Generator Matrices that generate Nice Codes : None
Total No. of Nice Codes: 0

Generator Matrix-1

a 0 0 0 0 0
0 a 0 0 0 0
b 0 0 0 0 0
0 b 0 0 0 0
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b 0 0 0 0
0 b c 0 0 0
b 0 0 0 0 0
b 0 c 0 0 0
b b 0 0 0 0
b b c 0 0 0
0 a 0 0 0 0
0 a c 0 0 0
0 c 0 0 0 0
0 c c 0 0 0
b a 0 0 0 0
b a c 0 0 0
b c 0 0 0 0
b c c 0 0 0
a 0 0 0 0 0
a 0 c 0 0 0
a b 0 0 0 0
a b c 0 0 0
c 0 0 0 0 0
c 0 c 0 0 0
c b 0 0 0 0
c b c 0 0 0
a a 0 0 0 0
a a c 0 0 0
a c 0 0 0 0
a c c 0 0 0
c a 0 0 0 0
c a c 0 0 0
c c 0 0 0 0
c c c 0 0 0

dmin: 1
Weight Enumerator: 1x0 + 7x1 + 15x2 + 9x3 + 0x4 + 0x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)5 (X_b)1 + (X_0)4 (X_b)1 (X_c)1 + (X_0)5 (X_b)1 + (X_0)4 (X_b)1 (X_c)1 + (X_0)4 (X_b)2 + (X_0)3 (X_b)2 (X_c)1 + (X_0)5 (X_a)1 + (X_0)4 (X_a)1 (X_c)1 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_a)1 (X_b)1 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)4 (X_b)1 (X_c)1 + (X_0)3 (X_b)1 (X_c)2 + (X_0)5 (X_a)1 + (X_0)4 (X_a)1 (X_c)1 + (X_0)4 (X_a)1 (X_b)1 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_b)1 (X_c)1 + (X_0)3 (X_b)1 (X_c)2 + (X_0)4 (X_a)2 + (X_0)3 (X_a)2 (X_c)1 + (X_0)4 (X_a)1 (X_c)1 + (X_0)3 (X_a)1 (X_c)2 + (X_0)4 (X_a)1 (X_c)1 + (X_0)3 (X_a)1 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 a a 0
0 0 0 a a a
0 0 0 a a b
0 0 0 a a c
0 0 0 a b 0
0 0 0 a b a
0 0 0 a b b
0 0 0 a b c
0 0 0 a c 0
0 0 0 a c a
0 0 0 a c b
0 0 0 a c c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 b a 0
0 0 0 b a a
0 0 0 b a b
0 0 0 b a c
0 0 0 b b 0
0 0 0 b b a
0 0 0 b b b
0 0 0 b b c
0 0 0 b c 0
0 0 0 b c a
0 0 0 b c b
0 0 0 b c c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c
0 0 0 c a 0
0 0 0 c a a
0 0 0 c a b
0 0 0 c a c
0 0 0 c b 0
0 0 0 c b a
0 0 0 c b b
0 0 0 c b c
0 0 0 c c 0
0 0 0 c c a
0 0 0 c c b
0 0 0 c c c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 a 0 a 0
0 0 a 0 a a
0 0 a 0 a b
0 0 a 0 a c
0 0 a 0 b 0
0 0 a 0 b a
0 0 a 0 b b
0 0 a 0 b c
0 0 a 0 c 0
0 0 a 0 c a
0 0 a 0 c b
0 0 a 0 c c
0 0 a a 0 0
0 0 a a 0 a
0 0 a a 0 b
0 0 a a 0 c
0 0 a a a 0
0 0 a a a a
0 0 a a a b
0 0 a a a c
0 0 a a b 0
0 0 a a b a
0 0 a a b b
0 0 a a b c
0 0 a a c 0
0 0 a a c a
0 0 a a c b
0 0 a a c c
0 0 a b 0 0
0 0 a b 0 a
0 0 a b 0 b
0 0 a b 0 c
0 0 a b a 0
0 0 a b a a
0 0 a b a b
0 0 a b a c
0 0 a b b 0
0 0 a b b a
0 0 a b b b
0 0 a b b c
0 0 a b c 0
0 0 a b c a
0 0 a b c b
0 0 a b c c
0 0 a c 0 0
0 0 a c 0 a
0 0 a c 0 b
0 0 a c 0 c
0 0 a c a 0
0 0 a c a a
0 0 a c a b
0 0 a c a c
0 0 a c b 0
0 0 a c b a
0 0 a c b b
0 0 a c b c
0 0 a c c 0
0 0 a c c a
0 0 a c c b
0 0 a c c c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 b 0 a 0
0 0 b 0 a a
0 0 b 0 a b
0 0 b 0 a c
0 0 b 0 b 0
0 0 b 0 b a
0 0 b 0 b b
0 0 b 0 b c
0 0 b 0 c 0
0 0 b 0 c a
0 0 b 0 c b
0 0 b 0 c c
0 0 b a 0 0
0 0 b a 0 a
0 0 b a 0 b
0 0 b a 0 c
0 0 b a a 0
0 0 b a a a
0 0 b a a b
0 0 b a a c
0 0 b a b 0
0 0 b a b a
0 0 b a b b
0 0 b a b c
0 0 b a c 0
0 0 b a c a
0 0 b a c b
0 0 b a c c
0 0 b b 0 0
0 0 b b 0 a
0 0 b b 0 b
0 0 b b 0 c
0 0 b b a 0
0 0 b b a a
0 0 b b a b
0 0 b b a c
0 0 b b b 0
0 0 b b b a
0 0 b b b b
0 0 b b b c
0 0 b b c 0
0 0 b b c a
0 0 b b c b
0 0 b b c c
0 0 b c 0 0
0 0 b c 0 a
0 0 b c 0 b
0 0 b c 0 c
0 0 b c a 0
0 0 b c a a
0 0 b c a b
0 0 b c a c
0 0 b c b 0
0 0 b c b a
0 0 b c b b
0 0 b c b c
0 0 b c c 0
0 0 b c c a
0 0 b c c b
0 0 b c c c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c
0 0 c 0 a 0
0 0 c 0 a a
0 0 c 0 a b
0 0 c 0 a c
0 0 c 0 b 0
0 0 c 0 b a
0 0 c 0 b b
0 0 c 0 b c
0 0 c 0 c 0
0 0 c 0 c a
0 0 c 0 c b
0 0 c 0 c c
0 0 c a 0 0
0 0 c a 0 a
0 0 c a 0 b
0 0 c a 0 c
0 0 c a a 0
0 0 c a a a
0 0 c a a b
0 0 c a a c
0 0 c a b 0
0 0 c a b a
0 0 c a b b
0 0 c a b c
0 0 c a c 0
0 0 c a c a
0 0 c a c b
0 0 c a c c
0 0 c b 0 0
0 0 c b 0 a
0 0 c b 0 b
0 0 c b 0 c
0 0 c b a 0
0 0 c b a a
0 0 c b a b
0 0 c b a c
0 0 c b b 0
0 0 c b b a
0 0 c b b b
0 0 c b b c
0 0 c b c 0
0 0 c b c a
0 0 c b c b
0 0 c b c c
0 0 c c 0 0
0 0 c c 0 a
0 0 c c 0 b
0 0 c c 0 c
0 0 c c a 0
0 0 c c a a
0 0 c c a b
0 0 c c a c
0 0 c c b 0
0 0 c c b a
0 0 c c b b
0 0 c c b c
0 0 c c c 0
0 0 c c c a
0 0 c c c b
0 0 c c c c

Is it a nice code?: No

Generator Matrix-2

a 0 0 0 0 0
0 a 0 0 0 0
b 0 0 0 0 0
0 b 0 0 0 0
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b 0 0 0 0
0 b c 0 0 c
b 0 0 0 0 0
b 0 c 0 0 c
b b 0 0 0 0
b b c 0 0 c
0 a 0 0 0 0
0 a c 0 0 c
0 c 0 0 0 0
0 c c 0 0 c
b a 0 0 0 0
b a c 0 0 c
b c 0 0 0 0
b c c 0 0 c
a 0 0 0 0 0
a 0 c 0 0 c
a b 0 0 0 0
a b c 0 0 c
c 0 0 0 0 0
c 0 c 0 0 c
c b 0 0 0 0
c b c 0 0 c
a a 0 0 0 0
a a c 0 0 c
a c 0 0 0 0
a c c 0 0 c
c a 0 0 0 0
c a c 0 0 c
c c 0 0 0 0
c c c 0 0 c

dmin: 1
Weight Enumerator: 1x0 + 6x1 + 10x2 + 6x3 + 9x4 + 0x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)5 (X_b)1 + (X_0)3 (X_b)1 (X_c)2 + (X_0)5 (X_b)1 + (X_0)3 (X_b)1 (X_c)2 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)5 (X_a)1 + (X_0)3 (X_a)1 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_a)1 (X_b)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_b)1 (X_c)1 + (X_0)2 (X_b)1 (X_c)3 + (X_0)5 (X_a)1 + (X_0)3 (X_a)1 (X_c)2 + (X_0)4 (X_a)1 (X_b)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_b)1 (X_c)1 + (X_0)2 (X_b)1 (X_c)3 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)4 (X_a)1 (X_c)1 + (X_0)2 (X_a)1 (X_c)3 + (X_0)4 (X_a)1 (X_c)1 + (X_0)2 (X_a)1 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 a a 0
0 0 0 a a a
0 0 0 a a b
0 0 0 a a c
0 0 0 a b 0
0 0 0 a b a
0 0 0 a b b
0 0 0 a b c
0 0 0 a c 0
0 0 0 a c a
0 0 0 a c b
0 0 0 a c c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 b a 0
0 0 0 b a a
0 0 0 b a b
0 0 0 b a c
0 0 0 b b 0
0 0 0 b b a
0 0 0 b b b
0 0 0 b b c
0 0 0 b c 0
0 0 0 b c a
0 0 0 b c b
0 0 0 b c c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c
0 0 0 c a 0
0 0 0 c a a
0 0 0 c a b
0 0 0 c a c
0 0 0 c b 0
0 0 0 c b a
0 0 0 c b b
0 0 0 c b c
0 0 0 c c 0
0 0 0 c c a
0 0 0 c c b
0 0 0 c c c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 a 0 a 0
0 0 a 0 a a
0 0 a 0 a b
0 0 a 0 a c
0 0 a 0 b 0
0 0 a 0 b a
0 0 a 0 b b
0 0 a 0 b c
0 0 a 0 c 0
0 0 a 0 c a
0 0 a 0 c b
0 0 a 0 c c
0 0 a a 0 0
0 0 a a 0 a
0 0 a a 0 b
0 0 a a 0 c
0 0 a a a 0
0 0 a a a a
0 0 a a a b
0 0 a a a c
0 0 a a b 0
0 0 a a b a
0 0 a a b b
0 0 a a b c
0 0 a a c 0
0 0 a a c a
0 0 a a c b
0 0 a a c c
0 0 a b 0 0
0 0 a b 0 a
0 0 a b 0 b
0 0 a b 0 c
0 0 a b a 0
0 0 a b a a
0 0 a b a b
0 0 a b a c
0 0 a b b 0
0 0 a b b a
0 0 a b b b
0 0 a b b c
0 0 a b c 0
0 0 a b c a
0 0 a b c b
0 0 a b c c
0 0 a c 0 0
0 0 a c 0 a
0 0 a c 0 b
0 0 a c 0 c
0 0 a c a 0
0 0 a c a a
0 0 a c a b
0 0 a c a c
0 0 a c b 0
0 0 a c b a
0 0 a c b b
0 0 a c b c
0 0 a c c 0
0 0 a c c a
0 0 a c c b
0 0 a c c c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 b 0 a 0
0 0 b 0 a a
0 0 b 0 a b
0 0 b 0 a c
0 0 b 0 b 0
0 0 b 0 b a
0 0 b 0 b b
0 0 b 0 b c
0 0 b 0 c 0
0 0 b 0 c a
0 0 b 0 c b
0 0 b 0 c c
0 0 b a 0 0
0 0 b a 0 a
0 0 b a 0 b
0 0 b a 0 c
0 0 b a a 0
0 0 b a a a
0 0 b a a b
0 0 b a a c
0 0 b a b 0
0 0 b a b a
0 0 b a b b
0 0 b a b c
0 0 b a c 0
0 0 b a c a
0 0 b a c b
0 0 b a c c
0 0 b b 0 0
0 0 b b 0 a
0 0 b b 0 b
0 0 b b 0 c
0 0 b b a 0
0 0 b b a a
0 0 b b a b
0 0 b b a c
0 0 b b b 0
0 0 b b b a
0 0 b b b b
0 0 b b b c
0 0 b b c 0
0 0 b b c a
0 0 b b c b
0 0 b b c c
0 0 b c 0 0
0 0 b c 0 a
0 0 b c 0 b
0 0 b c 0 c
0 0 b c a 0
0 0 b c a a
0 0 b c a b
0 0 b c a c
0 0 b c b 0
0 0 b c b a
0 0 b c b b
0 0 b c b c
0 0 b c c 0
0 0 b c c a
0 0 b c c b
0 0 b c c c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c
0 0 c 0 a 0
0 0 c 0 a a
0 0 c 0 a b
0 0 c 0 a c
0 0 c 0 b 0
0 0 c 0 b a
0 0 c 0 b b
0 0 c 0 b c
0 0 c 0 c 0
0 0 c 0 c a
0 0 c 0 c b
0 0 c 0 c c
0 0 c a 0 0
0 0 c a 0 a
0 0 c a 0 b
0 0 c a 0 c
0 0 c a a 0
0 0 c a a a
0 0 c a a b
0 0 c a a c
0 0 c a b 0
0 0 c a b a
0 0 c a b b
0 0 c a b c
0 0 c a c 0
0 0 c a c a
0 0 c a c b
0 0 c a c c
0 0 c b 0 0
0 0 c b 0 a
0 0 c b 0 b
0 0 c b 0 c
0 0 c b a 0
0 0 c b a a
0 0 c b a b
0 0 c b a c
0 0 c b b 0
0 0 c b b a
0 0 c b b b
0 0 c b b c
0 0 c b c 0
0 0 c b c a
0 0 c b c b
0 0 c b c c
0 0 c c 0 0
0 0 c c 0 a
0 0 c c 0 b
0 0 c c 0 c
0 0 c c a 0
0 0 c c a a
0 0 c c a b
0 0 c c a c
0 0 c c b 0
0 0 c c b a
0 0 c c b b
0 0 c c b c
0 0 c c c 0
0 0 c c c a
0 0 c c c b
0 0 c c c c

Is it a nice code?: No

Generator Matrix-3

a 0 0 0 0 0
0 a 0 0 0 0
b 0 0 0 0 0
0 b 0 0 0 0
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b 0 0 0 0
0 b c 0 c 0
b 0 0 0 0 0
b 0 c 0 c 0
b b 0 0 0 0
b b c 0 c 0
0 a 0 0 0 0
0 a c 0 c 0
0 c 0 0 0 0
0 c c 0 c 0
b a 0 0 0 0
b a c 0 c 0
b c 0 0 0 0
b c c 0 c 0
a 0 0 0 0 0
a 0 c 0 c 0
a b 0 0 0 0
a b c 0 c 0
c 0 0 0 0 0
c 0 c 0 c 0
c b 0 0 0 0
c b c 0 c 0
a a 0 0 0 0
a a c 0 c 0
a c 0 0 0 0
a c c 0 c 0
c a 0 0 0 0
c a c 0 c 0
c c 0 0 0 0
c c c 0 c 0

dmin: 1
Weight Enumerator: 1x0 + 6x1 + 10x2 + 6x3 + 9x4 + 0x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)5 (X_b)1 + (X_0)3 (X_b)1 (X_c)2 + (X_0)5 (X_b)1 + (X_0)3 (X_b)1 (X_c)2 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)5 (X_a)1 + (X_0)3 (X_a)1 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_a)1 (X_b)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_b)1 (X_c)1 + (X_0)2 (X_b)1 (X_c)3 + (X_0)5 (X_a)1 + (X_0)3 (X_a)1 (X_c)2 + (X_0)4 (X_a)1 (X_b)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_b)1 (X_c)1 + (X_0)2 (X_b)1 (X_c)3 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)4 (X_a)1 (X_c)1 + (X_0)2 (X_a)1 (X_c)3 + (X_0)4 (X_a)1 (X_c)1 + (X_0)2 (X_a)1 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 a a 0
0 0 0 a a a
0 0 0 a a b
0 0 0 a a c
0 0 0 a b 0
0 0 0 a b a
0 0 0 a b b
0 0 0 a b c
0 0 0 a c 0
0 0 0 a c a
0 0 0 a c b
0 0 0 a c c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 b a 0
0 0 0 b a a
0 0 0 b a b
0 0 0 b a c
0 0 0 b b 0
0 0 0 b b a
0 0 0 b b b
0 0 0 b b c
0 0 0 b c 0
0 0 0 b c a
0 0 0 b c b
0 0 0 b c c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c
0 0 0 c a 0
0 0 0 c a a
0 0 0 c a b
0 0 0 c a c
0 0 0 c b 0
0 0 0 c b a
0 0 0 c b b
0 0 0 c b c
0 0 0 c c 0
0 0 0 c c a
0 0 0 c c b
0 0 0 c c c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 a 0 a 0
0 0 a 0 a a
0 0 a 0 a b
0 0 a 0 a c
0 0 a 0 b 0
0 0 a 0 b a
0 0 a 0 b b
0 0 a 0 b c
0 0 a 0 c 0
0 0 a 0 c a
0 0 a 0 c b
0 0 a 0 c c
0 0 a a 0 0
0 0 a a 0 a
0 0 a a 0 b
0 0 a a 0 c
0 0 a a a 0
0 0 a a a a
0 0 a a a b
0 0 a a a c
0 0 a a b 0
0 0 a a b a
0 0 a a b b
0 0 a a b c
0 0 a a c 0
0 0 a a c a
0 0 a a c b
0 0 a a c c
0 0 a b 0 0
0 0 a b 0 a
0 0 a b 0 b
0 0 a b 0 c
0 0 a b a 0
0 0 a b a a
0 0 a b a b
0 0 a b a c
0 0 a b b 0
0 0 a b b a
0 0 a b b b
0 0 a b b c
0 0 a b c 0
0 0 a b c a
0 0 a b c b
0 0 a b c c
0 0 a c 0 0
0 0 a c 0 a
0 0 a c 0 b
0 0 a c 0 c
0 0 a c a 0
0 0 a c a a
0 0 a c a b
0 0 a c a c
0 0 a c b 0
0 0 a c b a
0 0 a c b b
0 0 a c b c
0 0 a c c 0
0 0 a c c a
0 0 a c c b
0 0 a c c c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 b 0 a 0
0 0 b 0 a a
0 0 b 0 a b
0 0 b 0 a c
0 0 b 0 b 0
0 0 b 0 b a
0 0 b 0 b b
0 0 b 0 b c
0 0 b 0 c 0
0 0 b 0 c a
0 0 b 0 c b
0 0 b 0 c c
0 0 b a 0 0
0 0 b a 0 a
0 0 b a 0 b
0 0 b a 0 c
0 0 b a a 0
0 0 b a a a
0 0 b a a b
0 0 b a a c
0 0 b a b 0
0 0 b a b a
0 0 b a b b
0 0 b a b c
0 0 b a c 0
0 0 b a c a
0 0 b a c b
0 0 b a c c
0 0 b b 0 0
0 0 b b 0 a
0 0 b b 0 b
0 0 b b 0 c
0 0 b b a 0
0 0 b b a a
0 0 b b a b
0 0 b b a c
0 0 b b b 0
0 0 b b b a
0 0 b b b b
0 0 b b b c
0 0 b b c 0
0 0 b b c a
0 0 b b c b
0 0 b b c c
0 0 b c 0 0
0 0 b c 0 a
0 0 b c 0 b
0 0 b c 0 c
0 0 b c a 0
0 0 b c a a
0 0 b c a b
0 0 b c a c
0 0 b c b 0
0 0 b c b a
0 0 b c b b
0 0 b c b c
0 0 b c c 0
0 0 b c c a
0 0 b c c b
0 0 b c c c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c
0 0 c 0 a 0
0 0 c 0 a a
0 0 c 0 a b
0 0 c 0 a c
0 0 c 0 b 0
0 0 c 0 b a
0 0 c 0 b b
0 0 c 0 b c
0 0 c 0 c 0
0 0 c 0 c a
0 0 c 0 c b
0 0 c 0 c c
0 0 c a 0 0
0 0 c a 0 a
0 0 c a 0 b
0 0 c a 0 c
0 0 c a a 0
0 0 c a a a
0 0 c a a b
0 0 c a a c
0 0 c a b 0
0 0 c a b a
0 0 c a b b
0 0 c a b c
0 0 c a c 0
0 0 c a c a
0 0 c a c b
0 0 c a c c
0 0 c b 0 0
0 0 c b 0 a
0 0 c b 0 b
0 0 c b 0 c
0 0 c b a 0
0 0 c b a a
0 0 c b a b
0 0 c b a c
0 0 c b b 0
0 0 c b b a
0 0 c b b b
0 0 c b b c
0 0 c b c 0
0 0 c b c a
0 0 c b c b
0 0 c b c c
0 0 c c 0 0
0 0 c c 0 a
0 0 c c 0 b
0 0 c c 0 c
0 0 c c a 0
0 0 c c a a
0 0 c c a b
0 0 c c a c
0 0 c c b 0
0 0 c c b a
0 0 c c b b
0 0 c c b c
0 0 c c c 0
0 0 c c c a
0 0 c c c b
0 0 c c c c

Is it a nice code?: No

Generator Matrix-4

a 0 0 0 0 0
0 a 0 0 0 0
b 0 0 0 0 0
0 b 0 0 0 0
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b 0 0 0 0
0 b c 0 c c
b 0 0 0 0 0
b 0 c 0 c c
b b 0 0 0 0
b b c 0 c c
0 a 0 0 0 0
0 a c 0 c c
0 c 0 0 0 0
0 c c 0 c c
b a 0 0 0 0
b a c 0 c c
b c 0 0 0 0
b c c 0 c c
a 0 0 0 0 0
a 0 c 0 c c
a b 0 0 0 0
a b c 0 c c
c 0 0 0 0 0
c 0 c 0 c c
c b 0 0 0 0
c b c 0 c c
a a 0 0 0 0
a a c 0 c c
a c 0 0 0 0
a c c 0 c c
c a 0 0 0 0
c a c 0 c c
c c 0 0 0 0
c c c 0 c c

dmin: 1
Weight Enumerator: 1x0 + 6x1 + 9x2 + 1x3 + 6x4 + 9x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)5 (X_b)1 + (X_0)2 (X_b)1 (X_c)3 + (X_0)5 (X_b)1 + (X_0)2 (X_b)1 (X_c)3 + (X_0)4 (X_b)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)5 (X_a)1 + (X_0)2 (X_a)1 (X_c)3 + (X_0)5 (X_c)1 + (X_0)2 (X_c)4 + (X_0)4 (X_a)1 (X_b)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_b)1 (X_c)1 + (X_0)1 (X_b)1 (X_c)4 + (X_0)5 (X_a)1 + (X_0)2 (X_a)1 (X_c)3 + (X_0)4 (X_a)1 (X_b)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)5 (X_c)1 + (X_0)2 (X_c)4 + (X_0)4 (X_b)1 (X_c)1 + (X_0)1 (X_b)1 (X_c)4 + (X_0)4 (X_a)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)4 (X_a)1 (X_c)1 + (X_0)1 (X_a)1 (X_c)4 + (X_0)4 (X_a)1 (X_c)1 + (X_0)1 (X_a)1 (X_c)4 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 a a 0
0 0 0 a a a
0 0 0 a a b
0 0 0 a a c
0 0 0 a b 0
0 0 0 a b a
0 0 0 a b b
0 0 0 a b c
0 0 0 a c 0
0 0 0 a c a
0 0 0 a c b
0 0 0 a c c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 b a 0
0 0 0 b a a
0 0 0 b a b
0 0 0 b a c
0 0 0 b b 0
0 0 0 b b a
0 0 0 b b b
0 0 0 b b c
0 0 0 b c 0
0 0 0 b c a
0 0 0 b c b
0 0 0 b c c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c
0 0 0 c a 0
0 0 0 c a a
0 0 0 c a b
0 0 0 c a c
0 0 0 c b 0
0 0 0 c b a
0 0 0 c b b
0 0 0 c b c
0 0 0 c c 0
0 0 0 c c a
0 0 0 c c b
0 0 0 c c c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 a 0 a 0
0 0 a 0 a a
0 0 a 0 a b
0 0 a 0 a c
0 0 a 0 b 0
0 0 a 0 b a
0 0 a 0 b b
0 0 a 0 b c
0 0 a 0 c 0
0 0 a 0 c a
0 0 a 0 c b
0 0 a 0 c c
0 0 a a 0 0
0 0 a a 0 a
0 0 a a 0 b
0 0 a a 0 c
0 0 a a a 0
0 0 a a a a
0 0 a a a b
0 0 a a a c
0 0 a a b 0
0 0 a a b a
0 0 a a b b
0 0 a a b c
0 0 a a c 0
0 0 a a c a
0 0 a a c b
0 0 a a c c
0 0 a b 0 0
0 0 a b 0 a
0 0 a b 0 b
0 0 a b 0 c
0 0 a b a 0
0 0 a b a a
0 0 a b a b
0 0 a b a c
0 0 a b b 0
0 0 a b b a
0 0 a b b b
0 0 a b b c
0 0 a b c 0
0 0 a b c a
0 0 a b c b
0 0 a b c c
0 0 a c 0 0
0 0 a c 0 a
0 0 a c 0 b
0 0 a c 0 c
0 0 a c a 0
0 0 a c a a
0 0 a c a b
0 0 a c a c
0 0 a c b 0
0 0 a c b a
0 0 a c b b
0 0 a c b c
0 0 a c c 0
0 0 a c c a
0 0 a c c b
0 0 a c c c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 b 0 a 0
0 0 b 0 a a
0 0 b 0 a b
0 0 b 0 a c
0 0 b 0 b 0
0 0 b 0 b a
0 0 b 0 b b
0 0 b 0 b c
0 0 b 0 c 0
0 0 b 0 c a
0 0 b 0 c b
0 0 b 0 c c
0 0 b a 0 0
0 0 b a 0 a
0 0 b a 0 b
0 0 b a 0 c
0 0 b a a 0
0 0 b a a a
0 0 b a a b
0 0 b a a c
0 0 b a b 0
0 0 b a b a
0 0 b a b b
0 0 b a b c
0 0 b a c 0
0 0 b a c a
0 0 b a c b
0 0 b a c c
0 0 b b 0 0
0 0 b b 0 a
0 0 b b 0 b
0 0 b b 0 c
0 0 b b a 0
0 0 b b a a
0 0 b b a b
0 0 b b a c
0 0 b b b 0
0 0 b b b a
0 0 b b b b
0 0 b b b c
0 0 b b c 0
0 0 b b c a
0 0 b b c b
0 0 b b c c
0 0 b c 0 0
0 0 b c 0 a
0 0 b c 0 b
0 0 b c 0 c
0 0 b c a 0
0 0 b c a a
0 0 b c a b
0 0 b c a c
0 0 b c b 0
0 0 b c b a
0 0 b c b b
0 0 b c b c
0 0 b c c 0
0 0 b c c a
0 0 b c c b
0 0 b c c c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c
0 0 c 0 a 0
0 0 c 0 a a
0 0 c 0 a b
0 0 c 0 a c
0 0 c 0 b 0
0 0 c 0 b a
0 0 c 0 b b
0 0 c 0 b c
0 0 c 0 c 0
0 0 c 0 c a
0 0 c 0 c b
0 0 c 0 c c
0 0 c a 0 0
0 0 c a 0 a
0 0 c a 0 b
0 0 c a 0 c
0 0 c a a 0
0 0 c a a a
0 0 c a a b
0 0 c a a c
0 0 c a b 0
0 0 c a b a
0 0 c a b b
0 0 c a b c
0 0 c a c 0
0 0 c a c a
0 0 c a c b
0 0 c a c c
0 0 c b 0 0
0 0 c b 0 a
0 0 c b 0 b
0 0 c b 0 c
0 0 c b a 0
0 0 c b a a
0 0 c b a b
0 0 c b a c
0 0 c b b 0
0 0 c b b a
0 0 c b b b
0 0 c b b c
0 0 c b c 0
0 0 c b c a
0 0 c b c b
0 0 c b c c
0 0 c c 0 0
0 0 c c 0 a
0 0 c c 0 b
0 0 c c 0 c
0 0 c c a 0
0 0 c c a a
0 0 c c a b
0 0 c c a c
0 0 c c b 0
0 0 c c b a
0 0 c c b b
0 0 c c b c
0 0 c c c 0
0 0 c c c a
0 0 c c c b
0 0 c c c c

Is it a nice code?: No

Generator Matrix-5

a 0 0 0 0 0
0 a 0 0 0 0
b 0 0 0 0 0
0 b 0 0 0 0
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b 0 0 0 0
0 b c c 0 0
b 0 0 0 0 0
b 0 c c 0 0
b b 0 0 0 0
b b c c 0 0
0 a 0 0 0 0
0 a c c 0 0
0 c 0 0 0 0
0 c c c 0 0
b a 0 0 0 0
b a c c 0 0
b c 0 0 0 0
b c c c 0 0
a 0 0 0 0 0
a 0 c c 0 0
a b 0 0 0 0
a b c c 0 0
c 0 0 0 0 0
c 0 c c 0 0
c b 0 0 0 0
c b c c 0 0
a a 0 0 0 0
a a c c 0 0
a c 0 0 0 0
a c c c 0 0
c a 0 0 0 0
c a c c 0 0
c c 0 0 0 0
c c c c 0 0

dmin: 1
Weight Enumerator: 1x0 + 6x1 + 10x2 + 6x3 + 9x4 + 0x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)5 (X_b)1 + (X_0)3 (X_b)1 (X_c)2 + (X_0)5 (X_b)1 + (X_0)3 (X_b)1 (X_c)2 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)5 (X_a)1 + (X_0)3 (X_a)1 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_a)1 (X_b)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_b)1 (X_c)1 + (X_0)2 (X_b)1 (X_c)3 + (X_0)5 (X_a)1 + (X_0)3 (X_a)1 (X_c)2 + (X_0)4 (X_a)1 (X_b)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_b)1 (X_c)1 + (X_0)2 (X_b)1 (X_c)3 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)4 (X_a)1 (X_c)1 + (X_0)2 (X_a)1 (X_c)3 + (X_0)4 (X_a)1 (X_c)1 + (X_0)2 (X_a)1 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 a a 0
0 0 0 a a a
0 0 0 a a b
0 0 0 a a c
0 0 0 a b 0
0 0 0 a b a
0 0 0 a b b
0 0 0 a b c
0 0 0 a c 0
0 0 0 a c a
0 0 0 a c b
0 0 0 a c c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 b a 0
0 0 0 b a a
0 0 0 b a b
0 0 0 b a c
0 0 0 b b 0
0 0 0 b b a
0 0 0 b b b
0 0 0 b b c
0 0 0 b c 0
0 0 0 b c a
0 0 0 b c b
0 0 0 b c c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c
0 0 0 c a 0
0 0 0 c a a
0 0 0 c a b
0 0 0 c a c
0 0 0 c b 0
0 0 0 c b a
0 0 0 c b b
0 0 0 c b c
0 0 0 c c 0
0 0 0 c c a
0 0 0 c c b
0 0 0 c c c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 a 0 a 0
0 0 a 0 a a
0 0 a 0 a b
0 0 a 0 a c
0 0 a 0 b 0
0 0 a 0 b a
0 0 a 0 b b
0 0 a 0 b c
0 0 a 0 c 0
0 0 a 0 c a
0 0 a 0 c b
0 0 a 0 c c
0 0 a a 0 0
0 0 a a 0 a
0 0 a a 0 b
0 0 a a 0 c
0 0 a a a 0
0 0 a a a a
0 0 a a a b
0 0 a a a c
0 0 a a b 0
0 0 a a b a
0 0 a a b b
0 0 a a b c
0 0 a a c 0
0 0 a a c a
0 0 a a c b
0 0 a a c c
0 0 a b 0 0
0 0 a b 0 a
0 0 a b 0 b
0 0 a b 0 c
0 0 a b a 0
0 0 a b a a
0 0 a b a b
0 0 a b a c
0 0 a b b 0
0 0 a b b a
0 0 a b b b
0 0 a b b c
0 0 a b c 0
0 0 a b c a
0 0 a b c b
0 0 a b c c
0 0 a c 0 0
0 0 a c 0 a
0 0 a c 0 b
0 0 a c 0 c
0 0 a c a 0
0 0 a c a a
0 0 a c a b
0 0 a c a c
0 0 a c b 0
0 0 a c b a
0 0 a c b b
0 0 a c b c
0 0 a c c 0
0 0 a c c a
0 0 a c c b
0 0 a c c c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 b 0 a 0
0 0 b 0 a a
0 0 b 0 a b
0 0 b 0 a c
0 0 b 0 b 0
0 0 b 0 b a
0 0 b 0 b b
0 0 b 0 b c
0 0 b 0 c 0
0 0 b 0 c a
0 0 b 0 c b
0 0 b 0 c c
0 0 b a 0 0
0 0 b a 0 a
0 0 b a 0 b
0 0 b a 0 c
0 0 b a a 0
0 0 b a a a
0 0 b a a b
0 0 b a a c
0 0 b a b 0
0 0 b a b a
0 0 b a b b
0 0 b a b c
0 0 b a c 0
0 0 b a c a
0 0 b a c b
0 0 b a c c
0 0 b b 0 0
0 0 b b 0 a
0 0 b b 0 b
0 0 b b 0 c
0 0 b b a 0
0 0 b b a a
0 0 b b a b
0 0 b b a c
0 0 b b b 0
0 0 b b b a
0 0 b b b b
0 0 b b b c
0 0 b b c 0
0 0 b b c a
0 0 b b c b
0 0 b b c c
0 0 b c 0 0
0 0 b c 0 a
0 0 b c 0 b
0 0 b c 0 c
0 0 b c a 0
0 0 b c a a
0 0 b c a b
0 0 b c a c
0 0 b c b 0
0 0 b c b a
0 0 b c b b
0 0 b c b c
0 0 b c c 0
0 0 b c c a
0 0 b c c b
0 0 b c c c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c
0 0 c 0 a 0
0 0 c 0 a a
0 0 c 0 a b
0 0 c 0 a c
0 0 c 0 b 0
0 0 c 0 b a
0 0 c 0 b b
0 0 c 0 b c
0 0 c 0 c 0
0 0 c 0 c a
0 0 c 0 c b
0 0 c 0 c c
0 0 c a 0 0
0 0 c a 0 a
0 0 c a 0 b
0 0 c a 0 c
0 0 c a a 0
0 0 c a a a
0 0 c a a b
0 0 c a a c
0 0 c a b 0
0 0 c a b a
0 0 c a b b
0 0 c a b c
0 0 c a c 0
0 0 c a c a
0 0 c a c b
0 0 c a c c
0 0 c b 0 0
0 0 c b 0 a
0 0 c b 0 b
0 0 c b 0 c
0 0 c b a 0
0 0 c b a a
0 0 c b a b
0 0 c b a c
0 0 c b b 0
0 0 c b b a
0 0 c b b b
0 0 c b b c
0 0 c b c 0
0 0 c b c a
0 0 c b c b
0 0 c b c c
0 0 c c 0 0
0 0 c c 0 a
0 0 c c 0 b
0 0 c c 0 c
0 0 c c a 0
0 0 c c a a
0 0 c c a b
0 0 c c a c
0 0 c c b 0
0 0 c c b a
0 0 c c b b
0 0 c c b c
0 0 c c c 0
0 0 c c c a
0 0 c c c b
0 0 c c c c

Is it a nice code?: No

Generator Matrix-6

a 0 0 0 0 0
0 a 0 0 0 0
b 0 0 0 0 0
0 b 0 0 0 0
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b 0 0 0 0
0 b c c 0 c
b 0 0 0 0 0
b 0 c c 0 c
b b 0 0 0 0
b b c c 0 c
0 a 0 0 0 0
0 a c c 0 c
0 c 0 0 0 0
0 c c c 0 c
b a 0 0 0 0
b a c c 0 c
b c 0 0 0 0
b c c c 0 c
a 0 0 0 0 0
a 0 c c 0 c
a b 0 0 0 0
a b c c 0 c
c 0 0 0 0 0
c 0 c c 0 c
c b 0 0 0 0
c b c c 0 c
a a 0 0 0 0
a a c c 0 c
a c 0 0 0 0
a c c c 0 c
c a 0 0 0 0
c a c c 0 c
c c 0 0 0 0
c c c c 0 c

dmin: 1
Weight Enumerator: 1x0 + 6x1 + 9x2 + 1x3 + 6x4 + 9x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)5 (X_b)1 + (X_0)2 (X_b)1 (X_c)3 + (X_0)5 (X_b)1 + (X_0)2 (X_b)1 (X_c)3 + (X_0)4 (X_b)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)5 (X_a)1 + (X_0)2 (X_a)1 (X_c)3 + (X_0)5 (X_c)1 + (X_0)2 (X_c)4 + (X_0)4 (X_a)1 (X_b)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_b)1 (X_c)1 + (X_0)1 (X_b)1 (X_c)4 + (X_0)5 (X_a)1 + (X_0)2 (X_a)1 (X_c)3 + (X_0)4 (X_a)1 (X_b)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)5 (X_c)1 + (X_0)2 (X_c)4 + (X_0)4 (X_b)1 (X_c)1 + (X_0)1 (X_b)1 (X_c)4 + (X_0)4 (X_a)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)4 (X_a)1 (X_c)1 + (X_0)1 (X_a)1 (X_c)4 + (X_0)4 (X_a)1 (X_c)1 + (X_0)1 (X_a)1 (X_c)4 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 a a 0
0 0 0 a a a
0 0 0 a a b
0 0 0 a a c
0 0 0 a b 0
0 0 0 a b a
0 0 0 a b b
0 0 0 a b c
0 0 0 a c 0
0 0 0 a c a
0 0 0 a c b
0 0 0 a c c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 b a 0
0 0 0 b a a
0 0 0 b a b
0 0 0 b a c
0 0 0 b b 0
0 0 0 b b a
0 0 0 b b b
0 0 0 b b c
0 0 0 b c 0
0 0 0 b c a
0 0 0 b c b
0 0 0 b c c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c
0 0 0 c a 0
0 0 0 c a a
0 0 0 c a b
0 0 0 c a c
0 0 0 c b 0
0 0 0 c b a
0 0 0 c b b
0 0 0 c b c
0 0 0 c c 0
0 0 0 c c a
0 0 0 c c b
0 0 0 c c c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 a 0 a 0
0 0 a 0 a a
0 0 a 0 a b
0 0 a 0 a c
0 0 a 0 b 0
0 0 a 0 b a
0 0 a 0 b b
0 0 a 0 b c
0 0 a 0 c 0
0 0 a 0 c a
0 0 a 0 c b
0 0 a 0 c c
0 0 a a 0 0
0 0 a a 0 a
0 0 a a 0 b
0 0 a a 0 c
0 0 a a a 0
0 0 a a a a
0 0 a a a b
0 0 a a a c
0 0 a a b 0
0 0 a a b a
0 0 a a b b
0 0 a a b c
0 0 a a c 0
0 0 a a c a
0 0 a a c b
0 0 a a c c
0 0 a b 0 0
0 0 a b 0 a
0 0 a b 0 b
0 0 a b 0 c
0 0 a b a 0
0 0 a b a a
0 0 a b a b
0 0 a b a c
0 0 a b b 0
0 0 a b b a
0 0 a b b b
0 0 a b b c
0 0 a b c 0
0 0 a b c a
0 0 a b c b
0 0 a b c c
0 0 a c 0 0
0 0 a c 0 a
0 0 a c 0 b
0 0 a c 0 c
0 0 a c a 0
0 0 a c a a
0 0 a c a b
0 0 a c a c
0 0 a c b 0
0 0 a c b a
0 0 a c b b
0 0 a c b c
0 0 a c c 0
0 0 a c c a
0 0 a c c b
0 0 a c c c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 b 0 a 0
0 0 b 0 a a
0 0 b 0 a b
0 0 b 0 a c
0 0 b 0 b 0
0 0 b 0 b a
0 0 b 0 b b
0 0 b 0 b c
0 0 b 0 c 0
0 0 b 0 c a
0 0 b 0 c b
0 0 b 0 c c
0 0 b a 0 0
0 0 b a 0 a
0 0 b a 0 b
0 0 b a 0 c
0 0 b a a 0
0 0 b a a a
0 0 b a a b
0 0 b a a c
0 0 b a b 0
0 0 b a b a
0 0 b a b b
0 0 b a b c
0 0 b a c 0
0 0 b a c a
0 0 b a c b
0 0 b a c c
0 0 b b 0 0
0 0 b b 0 a
0 0 b b 0 b
0 0 b b 0 c
0 0 b b a 0
0 0 b b a a
0 0 b b a b
0 0 b b a c
0 0 b b b 0
0 0 b b b a
0 0 b b b b
0 0 b b b c
0 0 b b c 0
0 0 b b c a
0 0 b b c b
0 0 b b c c
0 0 b c 0 0
0 0 b c 0 a
0 0 b c 0 b
0 0 b c 0 c
0 0 b c a 0
0 0 b c a a
0 0 b c a b
0 0 b c a c
0 0 b c b 0
0 0 b c b a
0 0 b c b b
0 0 b c b c
0 0 b c c 0
0 0 b c c a
0 0 b c c b
0 0 b c c c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c
0 0 c 0 a 0
0 0 c 0 a a
0 0 c 0 a b
0 0 c 0 a c
0 0 c 0 b 0
0 0 c 0 b a
0 0 c 0 b b
0 0 c 0 b c
0 0 c 0 c 0
0 0 c 0 c a
0 0 c 0 c b
0 0 c 0 c c
0 0 c a 0 0
0 0 c a 0 a
0 0 c a 0 b
0 0 c a 0 c
0 0 c a a 0
0 0 c a a a
0 0 c a a b
0 0 c a a c
0 0 c a b 0
0 0 c a b a
0 0 c a b b
0 0 c a b c
0 0 c a c 0
0 0 c a c a
0 0 c a c b
0 0 c a c c
0 0 c b 0 0
0 0 c b 0 a
0 0 c b 0 b
0 0 c b 0 c
0 0 c b a 0
0 0 c b a a
0 0 c b a b
0 0 c b a c
0 0 c b b 0
0 0 c b b a
0 0 c b b b
0 0 c b b c
0 0 c b c 0
0 0 c b c a
0 0 c b c b
0 0 c b c c
0 0 c c 0 0
0 0 c c 0 a
0 0 c c 0 b
0 0 c c 0 c
0 0 c c a 0
0 0 c c a a
0 0 c c a b
0 0 c c a c
0 0 c c b 0
0 0 c c b a
0 0 c c b b
0 0 c c b c
0 0 c c c 0
0 0 c c c a
0 0 c c c b
0 0 c c c c

Is it a nice code?: No

Generator Matrix-7

a 0 0 0 0 0
0 a 0 0 0 0
b 0 0 0 0 0
0 b 0 0 0 0
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b 0 0 0 0
0 b c c c 0
b 0 0 0 0 0
b 0 c c c 0
b b 0 0 0 0
b b c c c 0
0 a 0 0 0 0
0 a c c c 0
0 c 0 0 0 0
0 c c c c 0
b a 0 0 0 0
b a c c c 0
b c 0 0 0 0
b c c c c 0
a 0 0 0 0 0
a 0 c c c 0
a b 0 0 0 0
a b c c c 0
c 0 0 0 0 0
c 0 c c c 0
c b 0 0 0 0
c b c c c 0
a a 0 0 0 0
a a c c c 0
a c 0 0 0 0
a c c c c 0
c a 0 0 0 0
c a c c c 0
c c 0 0 0 0
c c c c c 0

dmin: 1
Weight Enumerator: 1x0 + 6x1 + 9x2 + 1x3 + 6x4 + 9x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)5 (X_b)1 + (X_0)2 (X_b)1 (X_c)3 + (X_0)5 (X_b)1 + (X_0)2 (X_b)1 (X_c)3 + (X_0)4 (X_b)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)5 (X_a)1 + (X_0)2 (X_a)1 (X_c)3 + (X_0)5 (X_c)1 + (X_0)2 (X_c)4 + (X_0)4 (X_a)1 (X_b)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_b)1 (X_c)1 + (X_0)1 (X_b)1 (X_c)4 + (X_0)5 (X_a)1 + (X_0)2 (X_a)1 (X_c)3 + (X_0)4 (X_a)1 (X_b)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)5 (X_c)1 + (X_0)2 (X_c)4 + (X_0)4 (X_b)1 (X_c)1 + (X_0)1 (X_b)1 (X_c)4 + (X_0)4 (X_a)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)4 (X_a)1 (X_c)1 + (X_0)1 (X_a)1 (X_c)4 + (X_0)4 (X_a)1 (X_c)1 + (X_0)1 (X_a)1 (X_c)4 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 a a 0
0 0 0 a a a
0 0 0 a a b
0 0 0 a a c
0 0 0 a b 0
0 0 0 a b a
0 0 0 a b b
0 0 0 a b c
0 0 0 a c 0
0 0 0 a c a
0 0 0 a c b
0 0 0 a c c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 b a 0
0 0 0 b a a
0 0 0 b a b
0 0 0 b a c
0 0 0 b b 0
0 0 0 b b a
0 0 0 b b b
0 0 0 b b c
0 0 0 b c 0
0 0 0 b c a
0 0 0 b c b
0 0 0 b c c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c
0 0 0 c a 0
0 0 0 c a a
0 0 0 c a b
0 0 0 c a c
0 0 0 c b 0
0 0 0 c b a
0 0 0 c b b
0 0 0 c b c
0 0 0 c c 0
0 0 0 c c a
0 0 0 c c b
0 0 0 c c c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 a 0 a 0
0 0 a 0 a a
0 0 a 0 a b
0 0 a 0 a c
0 0 a 0 b 0
0 0 a 0 b a
0 0 a 0 b b
0 0 a 0 b c
0 0 a 0 c 0
0 0 a 0 c a
0 0 a 0 c b
0 0 a 0 c c
0 0 a a 0 0
0 0 a a 0 a
0 0 a a 0 b
0 0 a a 0 c
0 0 a a a 0
0 0 a a a a
0 0 a a a b
0 0 a a a c
0 0 a a b 0
0 0 a a b a
0 0 a a b b
0 0 a a b c
0 0 a a c 0
0 0 a a c a
0 0 a a c b
0 0 a a c c
0 0 a b 0 0
0 0 a b 0 a
0 0 a b 0 b
0 0 a b 0 c
0 0 a b a 0
0 0 a b a a
0 0 a b a b
0 0 a b a c
0 0 a b b 0
0 0 a b b a
0 0 a b b b
0 0 a b b c
0 0 a b c 0
0 0 a b c a
0 0 a b c b
0 0 a b c c
0 0 a c 0 0
0 0 a c 0 a
0 0 a c 0 b
0 0 a c 0 c
0 0 a c a 0
0 0 a c a a
0 0 a c a b
0 0 a c a c
0 0 a c b 0
0 0 a c b a
0 0 a c b b
0 0 a c b c
0 0 a c c 0
0 0 a c c a
0 0 a c c b
0 0 a c c c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 b 0 a 0
0 0 b 0 a a
0 0 b 0 a b
0 0 b 0 a c
0 0 b 0 b 0
0 0 b 0 b a
0 0 b 0 b b
0 0 b 0 b c
0 0 b 0 c 0
0 0 b 0 c a
0 0 b 0 c b
0 0 b 0 c c
0 0 b a 0 0
0 0 b a 0 a
0 0 b a 0 b
0 0 b a 0 c
0 0 b a a 0
0 0 b a a a
0 0 b a a b
0 0 b a a c
0 0 b a b 0
0 0 b a b a
0 0 b a b b
0 0 b a b c
0 0 b a c 0
0 0 b a c a
0 0 b a c b
0 0 b a c c
0 0 b b 0 0
0 0 b b 0 a
0 0 b b 0 b
0 0 b b 0 c
0 0 b b a 0
0 0 b b a a
0 0 b b a b
0 0 b b a c
0 0 b b b 0
0 0 b b b a
0 0 b b b b
0 0 b b b c
0 0 b b c 0
0 0 b b c a
0 0 b b c b
0 0 b b c c
0 0 b c 0 0
0 0 b c 0 a
0 0 b c 0 b
0 0 b c 0 c
0 0 b c a 0
0 0 b c a a
0 0 b c a b
0 0 b c a c
0 0 b c b 0
0 0 b c b a
0 0 b c b b
0 0 b c b c
0 0 b c c 0
0 0 b c c a
0 0 b c c b
0 0 b c c c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c
0 0 c 0 a 0
0 0 c 0 a a
0 0 c 0 a b
0 0 c 0 a c
0 0 c 0 b 0
0 0 c 0 b a
0 0 c 0 b b
0 0 c 0 b c
0 0 c 0 c 0
0 0 c 0 c a
0 0 c 0 c b
0 0 c 0 c c
0 0 c a 0 0
0 0 c a 0 a
0 0 c a 0 b
0 0 c a 0 c
0 0 c a a 0
0 0 c a a a
0 0 c a a b
0 0 c a a c
0 0 c a b 0
0 0 c a b a
0 0 c a b b
0 0 c a b c
0 0 c a c 0
0 0 c a c a
0 0 c a c b
0 0 c a c c
0 0 c b 0 0
0 0 c b 0 a
0 0 c b 0 b
0 0 c b 0 c
0 0 c b a 0
0 0 c b a a
0 0 c b a b
0 0 c b a c
0 0 c b b 0
0 0 c b b a
0 0 c b b b
0 0 c b b c
0 0 c b c 0
0 0 c b c a
0 0 c b c b
0 0 c b c c
0 0 c c 0 0
0 0 c c 0 a
0 0 c c 0 b
0 0 c c 0 c
0 0 c c a 0
0 0 c c a a
0 0 c c a b
0 0 c c a c
0 0 c c b 0
0 0 c c b a
0 0 c c b b
0 0 c c b c
0 0 c c c 0
0 0 c c c a
0 0 c c c b
0 0 c c c c

Is it a nice code?: No

Generator Matrix-8

a 0 0 0 0 0
0 a 0 0 0 0
b 0 0 0 0 0
0 b 0 0 0 0
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b 0 0 0 0
0 b c c c c
b 0 0 0 0 0
b 0 c c c c
b b 0 0 0 0
b b c c c c
0 a 0 0 0 0
0 a c c c c
0 c 0 0 0 0
0 c c c c c
b a 0 0 0 0
b a c c c c
b c 0 0 0 0
b c c c c c
a 0 0 0 0 0
a 0 c c c c
a b 0 0 0 0
a b c c c c
c 0 0 0 0 0
c 0 c c c c
c b 0 0 0 0
c b c c c c
a a 0 0 0 0
a a c c c c
a c 0 0 0 0
a c c c c c
c a 0 0 0 0
c a c c c c
c c 0 0 0 0
c c c c c c

dmin: 1
Weight Enumerator: 1x0 + 6x1 + 9x2 + 0x3 + 1x4 + 6x5 + 9x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)5 (X_b)1 + (X_0)1 (X_b)1 (X_c)4 + (X_0)5 (X_b)1 + (X_0)1 (X_b)1 (X_c)4 + (X_0)4 (X_b)2 + (X_b)2 (X_c)4 + (X_0)5 (X_a)1 + (X_0)1 (X_a)1 (X_c)4 + (X_0)5 (X_c)1 + (X_0)1 (X_c)5 + (X_0)4 (X_a)1 (X_b)1 + (X_a)1 (X_b)1 (X_c)4 + (X_0)4 (X_b)1 (X_c)1 + (X_b)1 (X_c)5 + (X_0)5 (X_a)1 + (X_0)1 (X_a)1 (X_c)4 + (X_0)4 (X_a)1 (X_b)1 + (X_a)1 (X_b)1 (X_c)4 + (X_0)5 (X_c)1 + (X_0)1 (X_c)5 + (X_0)4 (X_b)1 (X_c)1 + (X_b)1 (X_c)5 + (X_0)4 (X_a)2 + (X_a)2 (X_c)4 + (X_0)4 (X_a)1 (X_c)1 + (X_a)1 (X_c)5 + (X_0)4 (X_a)1 (X_c)1 + (X_a)1 (X_c)5 + (X_0)4 (X_c)2 + (X_c)6

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 a a 0
0 0 0 a a a
0 0 0 a a b
0 0 0 a a c
0 0 0 a b 0
0 0 0 a b a
0 0 0 a b b
0 0 0 a b c
0 0 0 a c 0
0 0 0 a c a
0 0 0 a c b
0 0 0 a c c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 b a 0
0 0 0 b a a
0 0 0 b a b
0 0 0 b a c
0 0 0 b b 0
0 0 0 b b a
0 0 0 b b b
0 0 0 b b c
0 0 0 b c 0
0 0 0 b c a
0 0 0 b c b
0 0 0 b c c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c
0 0 0 c a 0
0 0 0 c a a
0 0 0 c a b
0 0 0 c a c
0 0 0 c b 0
0 0 0 c b a
0 0 0 c b b
0 0 0 c b c
0 0 0 c c 0
0 0 0 c c a
0 0 0 c c b
0 0 0 c c c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 a 0 a 0
0 0 a 0 a a
0 0 a 0 a b
0 0 a 0 a c
0 0 a 0 b 0
0 0 a 0 b a
0 0 a 0 b b
0 0 a 0 b c
0 0 a 0 c 0
0 0 a 0 c a
0 0 a 0 c b
0 0 a 0 c c
0 0 a a 0 0
0 0 a a 0 a
0 0 a a 0 b
0 0 a a 0 c
0 0 a a a 0
0 0 a a a a
0 0 a a a b
0 0 a a a c
0 0 a a b 0
0 0 a a b a
0 0 a a b b
0 0 a a b c
0 0 a a c 0
0 0 a a c a
0 0 a a c b
0 0 a a c c
0 0 a b 0 0
0 0 a b 0 a
0 0 a b 0 b
0 0 a b 0 c
0 0 a b a 0
0 0 a b a a
0 0 a b a b
0 0 a b a c
0 0 a b b 0
0 0 a b b a
0 0 a b b b
0 0 a b b c
0 0 a b c 0
0 0 a b c a
0 0 a b c b
0 0 a b c c
0 0 a c 0 0
0 0 a c 0 a
0 0 a c 0 b
0 0 a c 0 c
0 0 a c a 0
0 0 a c a a
0 0 a c a b
0 0 a c a c
0 0 a c b 0
0 0 a c b a
0 0 a c b b
0 0 a c b c
0 0 a c c 0
0 0 a c c a
0 0 a c c b
0 0 a c c c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 b 0 a 0
0 0 b 0 a a
0 0 b 0 a b
0 0 b 0 a c
0 0 b 0 b 0
0 0 b 0 b a
0 0 b 0 b b
0 0 b 0 b c
0 0 b 0 c 0
0 0 b 0 c a
0 0 b 0 c b
0 0 b 0 c c
0 0 b a 0 0
0 0 b a 0 a
0 0 b a 0 b
0 0 b a 0 c
0 0 b a a 0
0 0 b a a a
0 0 b a a b
0 0 b a a c
0 0 b a b 0
0 0 b a b a
0 0 b a b b
0 0 b a b c
0 0 b a c 0
0 0 b a c a
0 0 b a c b
0 0 b a c c
0 0 b b 0 0
0 0 b b 0 a
0 0 b b 0 b
0 0 b b 0 c
0 0 b b a 0
0 0 b b a a
0 0 b b a b
0 0 b b a c
0 0 b b b 0
0 0 b b b a
0 0 b b b b
0 0 b b b c
0 0 b b c 0
0 0 b b c a
0 0 b b c b
0 0 b b c c
0 0 b c 0 0
0 0 b c 0 a
0 0 b c 0 b
0 0 b c 0 c
0 0 b c a 0
0 0 b c a a
0 0 b c a b
0 0 b c a c
0 0 b c b 0
0 0 b c b a
0 0 b c b b
0 0 b c b c
0 0 b c c 0
0 0 b c c a
0 0 b c c b
0 0 b c c c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c
0 0 c 0 a 0
0 0 c 0 a a
0 0 c 0 a b
0 0 c 0 a c
0 0 c 0 b 0
0 0 c 0 b a
0 0 c 0 b b
0 0 c 0 b c
0 0 c 0 c 0
0 0 c 0 c a
0 0 c 0 c b
0 0 c 0 c c
0 0 c a 0 0
0 0 c a 0 a
0 0 c a 0 b
0 0 c a 0 c
0 0 c a a 0
0 0 c a a a
0 0 c a a b
0 0 c a a c
0 0 c a b 0
0 0 c a b a
0 0 c a b b
0 0 c a b c
0 0 c a c 0
0 0 c a c a
0 0 c a c b
0 0 c a c c
0 0 c b 0 0
0 0 c b 0 a
0 0 c b 0 b
0 0 c b 0 c
0 0 c b a 0
0 0 c b a a
0 0 c b a b
0 0 c b a c
0 0 c b b 0
0 0 c b b a
0 0 c b b b
0 0 c b b c
0 0 c b c 0
0 0 c b c a
0 0 c b c b
0 0 c b c c
0 0 c c 0 0
0 0 c c 0 a
0 0 c c 0 b
0 0 c c 0 c
0 0 c c a 0
0 0 c c a a
0 0 c c a b
0 0 c c a c
0 0 c c b 0
0 0 c c b a
0 0 c c b b
0 0 c c b c
0 0 c c c 0
0 0 c c c a
0 0 c c c b
0 0 c c c c

Is it a nice code?: No

Generator Matrix-9

a 0 0 0 0 0
0 a 0 0 0 a
b 0 0 0 0 0
0 b 0 0 0 b
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b 0 0 0 b
0 b c 0 0 b
b 0 0 0 0 0
b 0 c 0 0 0
b b 0 0 0 b
b b c 0 0 b
0 a 0 0 0 a
0 a c 0 0 a
0 c 0 0 0 c
0 c c 0 0 c
b a 0 0 0 a
b a c 0 0 a
b c 0 0 0 c
b c c 0 0 c
a 0 0 0 0 0
a 0 c 0 0 0
a b 0 0 0 b
a b c 0 0 b
c 0 0 0 0 0
c 0 c 0 0 0
c b 0 0 0 b
c b c 0 0 b
a a 0 0 0 a
a a c 0 0 a
a c 0 0 0 c
a c c 0 0 c
c a 0 0 0 a
c a c 0 0 a
c c 0 0 0 c
c c c 0 0 c

dmin: 1
Weight Enumerator: 1x0 + 4x1 + 6x2 + 12x3 + 9x4 + 0x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)4 (X_b)2 + (X_0)3 (X_b)2 (X_c)1 + (X_0)5 (X_b)1 + (X_0)4 (X_b)1 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_b)3 (X_c)1 + (X_0)4 (X_a)2 + (X_0)3 (X_a)2 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_b)1 (X_c)2 + (X_0)2 (X_b)1 (X_c)3 + (X_0)5 (X_a)1 + (X_0)4 (X_a)1 (X_c)1 + (X_0)3 (X_a)1 (X_b)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_b)2 (X_c)1 + (X_0)2 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)3 (X_c)1 + (X_0)3 (X_a)1 (X_c)2 + (X_0)2 (X_a)1 (X_c)3 + (X_0)3 (X_a)2 (X_c)1 + (X_0)2 (X_a)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 0 a 0 0
0 0 0 a a 0
0 0 0 a b 0
0 0 0 a c 0
0 0 0 b 0 0
0 0 0 b a 0
0 0 0 b b 0
0 0 0 b c 0
0 0 0 c 0 0
0 0 0 c a 0
0 0 0 c b 0
0 0 0 c c 0
0 0 a 0 0 0
0 0 a 0 a 0
0 0 a 0 b 0
0 0 a 0 c 0
0 0 a a 0 0
0 0 a a a 0
0 0 a a b 0
0 0 a a c 0
0 0 a b 0 0
0 0 a b a 0
0 0 a b b 0
0 0 a b c 0
0 0 a c 0 0
0 0 a c a 0
0 0 a c b 0
0 0 a c c 0
0 0 b 0 0 0
0 0 b 0 a 0
0 0 b 0 b 0
0 0 b 0 c 0
0 0 b a 0 0
0 0 b a a 0
0 0 b a b 0
0 0 b a c 0
0 0 b b 0 0
0 0 b b a 0
0 0 b b b 0
0 0 b b c 0
0 0 b c 0 0
0 0 b c a 0
0 0 b c b 0
0 0 b c c 0
0 0 c 0 0 0
0 0 c 0 a 0
0 0 c 0 b 0
0 0 c 0 c 0
0 0 c a 0 0
0 0 c a a 0
0 0 c a b 0
0 0 c a c 0
0 0 c b 0 0
0 0 c b a 0
0 0 c b b 0
0 0 c b c 0
0 0 c c 0 0
0 0 c c a 0
0 0 c c b 0
0 0 c c c 0

Is it a nice code?: No

Generator Matrix-10

a 0 0 0 0 0
0 a 0 0 0 a
b 0 0 0 0 0
0 b 0 0 0 b
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b 0 0 0 b
0 b c 0 0 a
b 0 0 0 0 0
b 0 c 0 0 c
b b 0 0 0 b
b b c 0 0 a
0 a 0 0 0 a
0 a c 0 0 b
0 c 0 0 0 c
0 c c 0 0 0
b a 0 0 0 a
b a c 0 0 b
b c 0 0 0 c
b c c 0 0 0
a 0 0 0 0 0
a 0 c 0 0 c
a b 0 0 0 b
a b c 0 0 a
c 0 0 0 0 0
c 0 c 0 0 c
c b 0 0 0 b
c b c 0 0 a
a a 0 0 0 a
a a c 0 0 b
a c 0 0 0 c
a c c 0 0 0
c a 0 0 0 a
c a c 0 0 b
c c 0 0 0 c
c c c 0 0 0

dmin: 1
Weight Enumerator: 1x0 + 3x1 + 5x2 + 17x3 + 6x4 + 0x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_b)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)5 (X_b)1 + (X_0)3 (X_b)1 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)4 (X_a)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_a)2 (X_b)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_b)1 (X_c)2 + (X_0)3 (X_b)1 (X_c)2 + (X_0)5 (X_a)1 + (X_0)3 (X_a)1 (X_c)2 + (X_0)3 (X_a)1 (X_b)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_a)1 (X_c)2 + (X_0)3 (X_a)1 (X_c)2 + (X_0)3 (X_a)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 0 a 0 0
0 0 0 a a 0
0 0 0 a b 0
0 0 0 a c 0
0 0 0 b 0 0
0 0 0 b a 0
0 0 0 b b 0
0 0 0 b c 0
0 0 0 c 0 0
0 0 0 c a 0
0 0 0 c b 0
0 0 0 c c 0
0 0 a 0 0 0
0 0 a 0 a 0
0 0 a 0 b 0
0 0 a 0 c 0
0 0 a a 0 0
0 0 a a a 0
0 0 a a b 0
0 0 a a c 0
0 0 a b 0 0
0 0 a b a 0
0 0 a b b 0
0 0 a b c 0
0 0 a c 0 0
0 0 a c a 0
0 0 a c b 0
0 0 a c c 0
0 0 b 0 0 0
0 0 b 0 a 0
0 0 b 0 b 0
0 0 b 0 c 0
0 0 b a 0 0
0 0 b a a 0
0 0 b a b 0
0 0 b a c 0
0 0 b b 0 0
0 0 b b a 0
0 0 b b b 0
0 0 b b c 0
0 0 b c 0 0
0 0 b c a 0
0 0 b c b 0
0 0 b c c 0
0 0 c 0 0 0
0 0 c 0 a 0
0 0 c 0 b 0
0 0 c 0 c 0
0 0 c a 0 0
0 0 c a a 0
0 0 c a b 0
0 0 c a c 0
0 0 c b 0 0
0 0 c b a 0
0 0 c b b 0
0 0 c b c 0
0 0 c c 0 0
0 0 c c a 0
0 0 c c b 0
0 0 c c c 0

Is it a nice code?: No

Generator Matrix-11

a 0 0 0 0 0
0 a 0 0 0 a
b 0 0 0 0 0
0 b 0 0 0 b
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b 0 0 0 b
0 b c 0 c b
b 0 0 0 0 0
b 0 c 0 c 0
b b 0 0 0 b
b b c 0 c b
0 a 0 0 0 a
0 a c 0 c a
0 c 0 0 0 c
0 c c 0 c c
b a 0 0 0 a
b a c 0 c a
b c 0 0 0 c
b c c 0 c c
a 0 0 0 0 0
a 0 c 0 c 0
a b 0 0 0 b
a b c 0 c b
c 0 0 0 0 0
c 0 c 0 c 0
c b 0 0 0 b
c b c 0 c b
a a 0 0 0 a
a a c 0 c a
a c 0 0 0 c
a c c 0 c c
c a 0 0 0 a
c a c 0 c a
c c 0 0 0 c
c c c 0 c c

dmin: 1
Weight Enumerator: 1x0 + 3x1 + 4x2 + 12x3 + 3x4 + 9x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)5 (X_b)1 + (X_0)3 (X_b)1 (X_c)2 + (X_0)3 (X_b)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_a)2 (X_b)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_b)1 (X_c)2 + (X_0)1 (X_b)1 (X_c)4 + (X_0)5 (X_a)1 + (X_0)3 (X_a)1 (X_c)2 + (X_0)3 (X_a)1 (X_b)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_b)2 (X_c)1 + (X_0)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)3 (X_a)1 (X_c)2 + (X_0)1 (X_a)1 (X_c)4 + (X_0)3 (X_a)2 (X_c)1 + (X_0)1 (X_a)2 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 0 a 0 0
0 0 0 a a 0
0 0 0 a b 0
0 0 0 a c 0
0 0 0 b 0 0
0 0 0 b a 0
0 0 0 b b 0
0 0 0 b c 0
0 0 0 c 0 0
0 0 0 c a 0
0 0 0 c b 0
0 0 0 c c 0
0 0 a 0 0 0
0 0 a 0 a 0
0 0 a 0 b 0
0 0 a 0 c 0
0 0 a a 0 0
0 0 a a a 0
0 0 a a b 0
0 0 a a c 0
0 0 a b 0 0
0 0 a b a 0
0 0 a b b 0
0 0 a b c 0
0 0 a c 0 0
0 0 a c a 0
0 0 a c b 0
0 0 a c c 0
0 0 b 0 0 0
0 0 b 0 a 0
0 0 b 0 b 0
0 0 b 0 c 0
0 0 b a 0 0
0 0 b a a 0
0 0 b a b 0
0 0 b a c 0
0 0 b b 0 0
0 0 b b a 0
0 0 b b b 0
0 0 b b c 0
0 0 b c 0 0
0 0 b c a 0
0 0 b c b 0
0 0 b c c 0
0 0 c 0 0 0
0 0 c 0 a 0
0 0 c 0 b 0
0 0 c 0 c 0
0 0 c a 0 0
0 0 c a a 0
0 0 c a b 0
0 0 c a c 0
0 0 c b 0 0
0 0 c b a 0
0 0 c b b 0
0 0 c b c 0
0 0 c c 0 0
0 0 c c a 0
0 0 c c b 0
0 0 c c c 0

Is it a nice code?: No

Generator Matrix-12

a 0 0 0 0 0
0 a 0 0 0 a
b 0 0 0 0 0
0 b 0 0 0 b
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b 0 0 0 b
0 b c 0 c a
b 0 0 0 0 0
b 0 c 0 c c
b b 0 0 0 b
b b c 0 c a
0 a 0 0 0 a
0 a c 0 c b
0 c 0 0 0 c
0 c c 0 c 0
b a 0 0 0 a
b a c 0 c b
b c 0 0 0 c
b c c 0 c 0
a 0 0 0 0 0
a 0 c 0 c c
a b 0 0 0 b
a b c 0 c a
c 0 0 0 0 0
c 0 c 0 c c
c b 0 0 0 b
c b c 0 c a
a a 0 0 0 a
a a c 0 c b
a c 0 0 0 c
a c c 0 c 0
c a 0 0 0 a
c a c 0 c b
c c 0 0 0 c
c c c 0 c 0

dmin: 1
Weight Enumerator: 1x0 + 3x1 + 3x2 + 11x3 + 8x4 + 6x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)5 (X_b)1 + (X_0)2 (X_b)1 (X_c)3 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_b)1 (X_c)2 + (X_0)2 (X_b)1 (X_c)3 + (X_0)5 (X_a)1 + (X_0)2 (X_a)1 (X_c)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)5 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)1 (X_c)2 + (X_0)2 (X_a)1 (X_c)3 + (X_0)3 (X_a)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 0 a 0 0
0 0 0 a a 0
0 0 0 a b 0
0 0 0 a c 0
0 0 0 b 0 0
0 0 0 b a 0
0 0 0 b b 0
0 0 0 b c 0
0 0 0 c 0 0
0 0 0 c a 0
0 0 0 c b 0
0 0 0 c c 0
0 0 a 0 0 0
0 0 a 0 a 0
0 0 a 0 b 0
0 0 a 0 c 0
0 0 a a 0 0
0 0 a a a 0
0 0 a a b 0
0 0 a a c 0
0 0 a b 0 0
0 0 a b a 0
0 0 a b b 0
0 0 a b c 0
0 0 a c 0 0
0 0 a c a 0
0 0 a c b 0
0 0 a c c 0
0 0 b 0 0 0
0 0 b 0 a 0
0 0 b 0 b 0
0 0 b 0 c 0
0 0 b a 0 0
0 0 b a a 0
0 0 b a b 0
0 0 b a c 0
0 0 b b 0 0
0 0 b b a 0
0 0 b b b 0
0 0 b b c 0
0 0 b c 0 0
0 0 b c a 0
0 0 b c b 0
0 0 b c c 0
0 0 c 0 0 0
0 0 c 0 a 0
0 0 c 0 b 0
0 0 c 0 c 0
0 0 c a 0 0
0 0 c a a 0
0 0 c a b 0
0 0 c a c 0
0 0 c b 0 0
0 0 c b a 0
0 0 c b b 0
0 0 c b c 0
0 0 c c 0 0
0 0 c c a 0
0 0 c c b 0
0 0 c c c 0

Is it a nice code?: No

Generator Matrix-13

a 0 0 0 0 0
0 a 0 0 0 a
b 0 0 0 0 0
0 b 0 0 0 b
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b 0 0 0 b
0 b c c 0 b
b 0 0 0 0 0
b 0 c c 0 0
b b 0 0 0 b
b b c c 0 b
0 a 0 0 0 a
0 a c c 0 a
0 c 0 0 0 c
0 c c c 0 c
b a 0 0 0 a
b a c c 0 a
b c 0 0 0 c
b c c c 0 c
a 0 0 0 0 0
a 0 c c 0 0
a b 0 0 0 b
a b c c 0 b
c 0 0 0 0 0
c 0 c c 0 0
c b 0 0 0 b
c b c c 0 b
a a 0 0 0 a
a a c c 0 a
a c 0 0 0 c
a c c c 0 c
c a 0 0 0 a
c a c c 0 a
c c 0 0 0 c
c c c c 0 c

dmin: 1
Weight Enumerator: 1x0 + 3x1 + 4x2 + 12x3 + 3x4 + 9x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)5 (X_b)1 + (X_0)3 (X_b)1 (X_c)2 + (X_0)3 (X_b)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_a)2 (X_b)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_b)1 (X_c)2 + (X_0)1 (X_b)1 (X_c)4 + (X_0)5 (X_a)1 + (X_0)3 (X_a)1 (X_c)2 + (X_0)3 (X_a)1 (X_b)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_b)2 (X_c)1 + (X_0)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)3 (X_a)1 (X_c)2 + (X_0)1 (X_a)1 (X_c)4 + (X_0)3 (X_a)2 (X_c)1 + (X_0)1 (X_a)2 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 0 a 0 0
0 0 0 a a 0
0 0 0 a b 0
0 0 0 a c 0
0 0 0 b 0 0
0 0 0 b a 0
0 0 0 b b 0
0 0 0 b c 0
0 0 0 c 0 0
0 0 0 c a 0
0 0 0 c b 0
0 0 0 c c 0
0 0 a 0 0 0
0 0 a 0 a 0
0 0 a 0 b 0
0 0 a 0 c 0
0 0 a a 0 0
0 0 a a a 0
0 0 a a b 0
0 0 a a c 0
0 0 a b 0 0
0 0 a b a 0
0 0 a b b 0
0 0 a b c 0
0 0 a c 0 0
0 0 a c a 0
0 0 a c b 0
0 0 a c c 0
0 0 b 0 0 0
0 0 b 0 a 0
0 0 b 0 b 0
0 0 b 0 c 0
0 0 b a 0 0
0 0 b a a 0
0 0 b a b 0
0 0 b a c 0
0 0 b b 0 0
0 0 b b a 0
0 0 b b b 0
0 0 b b c 0
0 0 b c 0 0
0 0 b c a 0
0 0 b c b 0
0 0 b c c 0
0 0 c 0 0 0
0 0 c 0 a 0
0 0 c 0 b 0
0 0 c 0 c 0
0 0 c a 0 0
0 0 c a a 0
0 0 c a b 0
0 0 c a c 0
0 0 c b 0 0
0 0 c b a 0
0 0 c b b 0
0 0 c b c 0
0 0 c c 0 0
0 0 c c a 0
0 0 c c b 0
0 0 c c c 0

Is it a nice code?: No

Generator Matrix-14

a 0 0 0 0 0
0 a 0 0 0 a
b 0 0 0 0 0
0 b 0 0 0 b
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b 0 0 0 b
0 b c c 0 a
b 0 0 0 0 0
b 0 c c 0 c
b b 0 0 0 b
b b c c 0 a
0 a 0 0 0 a
0 a c c 0 b
0 c 0 0 0 c
0 c c c 0 0
b a 0 0 0 a
b a c c 0 b
b c 0 0 0 c
b c c c 0 0
a 0 0 0 0 0
a 0 c c 0 c
a b 0 0 0 b
a b c c 0 a
c 0 0 0 0 0
c 0 c c 0 c
c b 0 0 0 b
c b c c 0 a
a a 0 0 0 a
a a c c 0 b
a c 0 0 0 c
a c c c 0 0
c a 0 0 0 a
c a c c 0 b
c c 0 0 0 c
c c c c 0 0

dmin: 1
Weight Enumerator: 1x0 + 3x1 + 3x2 + 11x3 + 8x4 + 6x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)5 (X_b)1 + (X_0)2 (X_b)1 (X_c)3 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_b)1 (X_c)2 + (X_0)2 (X_b)1 (X_c)3 + (X_0)5 (X_a)1 + (X_0)2 (X_a)1 (X_c)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)5 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)1 (X_c)2 + (X_0)2 (X_a)1 (X_c)3 + (X_0)3 (X_a)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 0 a 0 0
0 0 0 a a 0
0 0 0 a b 0
0 0 0 a c 0
0 0 0 b 0 0
0 0 0 b a 0
0 0 0 b b 0
0 0 0 b c 0
0 0 0 c 0 0
0 0 0 c a 0
0 0 0 c b 0
0 0 0 c c 0
0 0 a 0 0 0
0 0 a 0 a 0
0 0 a 0 b 0
0 0 a 0 c 0
0 0 a a 0 0
0 0 a a a 0
0 0 a a b 0
0 0 a a c 0
0 0 a b 0 0
0 0 a b a 0
0 0 a b b 0
0 0 a b c 0
0 0 a c 0 0
0 0 a c a 0
0 0 a c b 0
0 0 a c c 0
0 0 b 0 0 0
0 0 b 0 a 0
0 0 b 0 b 0
0 0 b 0 c 0
0 0 b a 0 0
0 0 b a a 0
0 0 b a b 0
0 0 b a c 0
0 0 b b 0 0
0 0 b b a 0
0 0 b b b 0
0 0 b b c 0
0 0 b c 0 0
0 0 b c a 0
0 0 b c b 0
0 0 b c c 0
0 0 c 0 0 0
0 0 c 0 a 0
0 0 c 0 b 0
0 0 c 0 c 0
0 0 c a 0 0
0 0 c a a 0
0 0 c a b 0
0 0 c a c 0
0 0 c b 0 0
0 0 c b a 0
0 0 c b b 0
0 0 c b c 0
0 0 c c 0 0
0 0 c c a 0
0 0 c c b 0
0 0 c c c 0

Is it a nice code?: No

Generator Matrix-15

a 0 0 0 0 0
0 a 0 0 0 a
b 0 0 0 0 0
0 b 0 0 0 b
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b 0 0 0 b
0 b c c c b
b 0 0 0 0 0
b 0 c c c 0
b b 0 0 0 b
b b c c c b
0 a 0 0 0 a
0 a c c c a
0 c 0 0 0 c
0 c c c c c
b a 0 0 0 a
b a c c c a
b c 0 0 0 c
b c c c c c
a 0 0 0 0 0
a 0 c c c 0
a b 0 0 0 b
a b c c c b
c 0 0 0 0 0
c 0 c c c 0
c b 0 0 0 b
c b c c c b
a a 0 0 0 a
a a c c c a
a c 0 0 0 c
a c c c c c
c a 0 0 0 a
c a c c c a
c c 0 0 0 c
c c c c c c

dmin: 1
Weight Enumerator: 1x0 + 3x1 + 3x2 + 10x3 + 3x4 + 3x5 + 9x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)4 (X_b)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)5 (X_b)1 + (X_0)2 (X_b)1 (X_c)3 + (X_0)3 (X_b)3 + (X_b)3 (X_c)3 + (X_0)4 (X_a)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5 + (X_0)3 (X_a)2 (X_b)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_b)1 (X_c)2 + (X_b)1 (X_c)5 + (X_0)5 (X_a)1 + (X_0)2 (X_a)1 (X_c)3 + (X_0)3 (X_a)1 (X_b)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)5 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_b)2 (X_c)1 + (X_b)2 (X_c)4 + (X_0)3 (X_a)3 + (X_a)3 (X_c)3 + (X_0)3 (X_a)1 (X_c)2 + (X_a)1 (X_c)5 + (X_0)3 (X_a)2 (X_c)1 + (X_a)2 (X_c)4 + (X_0)3 (X_c)3 + (X_c)6

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 0 a 0 0
0 0 0 a a 0
0 0 0 a b 0
0 0 0 a c 0
0 0 0 b 0 0
0 0 0 b a 0
0 0 0 b b 0
0 0 0 b c 0
0 0 0 c 0 0
0 0 0 c a 0
0 0 0 c b 0
0 0 0 c c 0
0 0 a 0 0 0
0 0 a 0 a 0
0 0 a 0 b 0
0 0 a 0 c 0
0 0 a a 0 0
0 0 a a a 0
0 0 a a b 0
0 0 a a c 0
0 0 a b 0 0
0 0 a b a 0
0 0 a b b 0
0 0 a b c 0
0 0 a c 0 0
0 0 a c a 0
0 0 a c b 0
0 0 a c c 0
0 0 b 0 0 0
0 0 b 0 a 0
0 0 b 0 b 0
0 0 b 0 c 0
0 0 b a 0 0
0 0 b a a 0
0 0 b a b 0
0 0 b a c 0
0 0 b b 0 0
0 0 b b a 0
0 0 b b b 0
0 0 b b c 0
0 0 b c 0 0
0 0 b c a 0
0 0 b c b 0
0 0 b c c 0
0 0 c 0 0 0
0 0 c 0 a 0
0 0 c 0 b 0
0 0 c 0 c 0
0 0 c a 0 0
0 0 c a a 0
0 0 c a b 0
0 0 c a c 0
0 0 c b 0 0
0 0 c b a 0
0 0 c b b 0
0 0 c b c 0
0 0 c c 0 0
0 0 c c a 0
0 0 c c b 0
0 0 c c c 0

Is it a nice code?: No

Generator Matrix-16

a 0 0 0 0 0
0 a 0 0 0 a
b 0 0 0 0 0
0 b 0 0 0 b
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b 0 0 0 b
0 b c c c a
b 0 0 0 0 0
b 0 c c c c
b b 0 0 0 b
b b c c c a
0 a 0 0 0 a
0 a c c c b
0 c 0 0 0 c
0 c c c c 0
b a 0 0 0 a
b a c c c b
b c 0 0 0 c
b c c c c 0
a 0 0 0 0 0
a 0 c c c c
a b 0 0 0 b
a b c c c a
c 0 0 0 0 0
c 0 c c c c
c b 0 0 0 b
c b c c c a
a a 0 0 0 a
a a c c c b
a c 0 0 0 c
a c c c c 0
c a 0 0 0 a
c a c c c b
c c 0 0 0 c
c c c c c 0

dmin: 1
Weight Enumerator: 1x0 + 3x1 + 3x2 + 9x3 + 2x4 + 8x5 + 6x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)4 (X_b)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)5 (X_b)1 + (X_0)1 (X_b)1 (X_c)4 + (X_0)3 (X_b)3 + (X_a)1 (X_b)2 (X_c)3 + (X_0)4 (X_a)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_a)2 (X_b)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_b)1 (X_c)2 + (X_0)1 (X_b)1 (X_c)4 + (X_0)5 (X_a)1 + (X_0)1 (X_a)1 (X_c)4 + (X_0)3 (X_a)1 (X_b)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)5 (X_c)1 + (X_0)1 (X_c)5 + (X_0)3 (X_b)2 (X_c)1 + (X_a)1 (X_b)1 (X_c)4 + (X_0)3 (X_a)3 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_a)1 (X_c)2 + (X_0)1 (X_a)1 (X_c)4 + (X_0)3 (X_a)2 (X_c)1 + (X_a)1 (X_b)1 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 0 a 0 0
0 0 0 a a 0
0 0 0 a b 0
0 0 0 a c 0
0 0 0 b 0 0
0 0 0 b a 0
0 0 0 b b 0
0 0 0 b c 0
0 0 0 c 0 0
0 0 0 c a 0
0 0 0 c b 0
0 0 0 c c 0
0 0 a 0 0 0
0 0 a 0 a 0
0 0 a 0 b 0
0 0 a 0 c 0
0 0 a a 0 0
0 0 a a a 0
0 0 a a b 0
0 0 a a c 0
0 0 a b 0 0
0 0 a b a 0
0 0 a b b 0
0 0 a b c 0
0 0 a c 0 0
0 0 a c a 0
0 0 a c b 0
0 0 a c c 0
0 0 b 0 0 0
0 0 b 0 a 0
0 0 b 0 b 0
0 0 b 0 c 0
0 0 b a 0 0
0 0 b a a 0
0 0 b a b 0
0 0 b a c 0
0 0 b b 0 0
0 0 b b a 0
0 0 b b b 0
0 0 b b c 0
0 0 b c 0 0
0 0 b c a 0
0 0 b c b 0
0 0 b c c 0
0 0 c 0 0 0
0 0 c 0 a 0
0 0 c 0 b 0
0 0 c 0 c 0
0 0 c a 0 0
0 0 c a a 0
0 0 c a b 0
0 0 c a c 0
0 0 c b 0 0
0 0 c b a 0
0 0 c b b 0
0 0 c b c 0
0 0 c c 0 0
0 0 c c a 0
0 0 c c b 0
0 0 c c c 0

Is it a nice code?: No

Generator Matrix-17

a 0 0 0 0 0
0 a 0 0 a 0
b 0 0 0 0 0
0 b 0 0 b 0
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b 0 0 b 0
0 b c 0 b 0
b 0 0 0 0 0
b 0 c 0 0 0
b b 0 0 b 0
b b c 0 b 0
0 a 0 0 a 0
0 a c 0 a 0
0 c 0 0 c 0
0 c c 0 c 0
b a 0 0 a 0
b a c 0 a 0
b c 0 0 c 0
b c c 0 c 0
a 0 0 0 0 0
a 0 c 0 0 0
a b 0 0 b 0
a b c 0 b 0
c 0 0 0 0 0
c 0 c 0 0 0
c b 0 0 b 0
c b c 0 b 0
a a 0 0 a 0
a a c 0 a 0
a c 0 0 c 0
a c c 0 c 0
c a 0 0 a 0
c a c 0 a 0
c c 0 0 c 0
c c c 0 c 0

dmin: 1
Weight Enumerator: 1x0 + 4x1 + 6x2 + 12x3 + 9x4 + 0x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)4 (X_b)2 + (X_0)3 (X_b)2 (X_c)1 + (X_0)5 (X_b)1 + (X_0)4 (X_b)1 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_b)3 (X_c)1 + (X_0)4 (X_a)2 + (X_0)3 (X_a)2 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_b)1 (X_c)2 + (X_0)2 (X_b)1 (X_c)3 + (X_0)5 (X_a)1 + (X_0)4 (X_a)1 (X_c)1 + (X_0)3 (X_a)1 (X_b)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_b)2 (X_c)1 + (X_0)2 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)3 (X_c)1 + (X_0)3 (X_a)1 (X_c)2 + (X_0)2 (X_a)1 (X_c)3 + (X_0)3 (X_a)2 (X_c)1 + (X_0)2 (X_a)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 a a 0 0
0 0 a a 0 a
0 0 a a 0 b
0 0 a a 0 c
0 0 a b 0 0
0 0 a b 0 a
0 0 a b 0 b
0 0 a b 0 c
0 0 a c 0 0
0 0 a c 0 a
0 0 a c 0 b
0 0 a c 0 c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 b a 0 0
0 0 b a 0 a
0 0 b a 0 b
0 0 b a 0 c
0 0 b b 0 0
0 0 b b 0 a
0 0 b b 0 b
0 0 b b 0 c
0 0 b c 0 0
0 0 b c 0 a
0 0 b c 0 b
0 0 b c 0 c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c
0 0 c a 0 0
0 0 c a 0 a
0 0 c a 0 b
0 0 c a 0 c
0 0 c b 0 0
0 0 c b 0 a
0 0 c b 0 b
0 0 c b 0 c
0 0 c c 0 0
0 0 c c 0 a
0 0 c c 0 b
0 0 c c 0 c

Is it a nice code?: No

Generator Matrix-18

a 0 0 0 0 0
0 a 0 0 a 0
b 0 0 0 0 0
0 b 0 0 b 0
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b 0 0 b 0
0 b c 0 b c
b 0 0 0 0 0
b 0 c 0 0 c
b b 0 0 b 0
b b c 0 b c
0 a 0 0 a 0
0 a c 0 a c
0 c 0 0 c 0
0 c c 0 c c
b a 0 0 a 0
b a c 0 a c
b c 0 0 c 0
b c c 0 c c
a 0 0 0 0 0
a 0 c 0 0 c
a b 0 0 b 0
a b c 0 b c
c 0 0 0 0 0
c 0 c 0 0 c
c b 0 0 b 0
c b c 0 b c
a a 0 0 a 0
a a c 0 a c
a c 0 0 c 0
a c c 0 c c
c a 0 0 a 0
c a c 0 a c
c c 0 0 c 0
c c c 0 c c

dmin: 1
Weight Enumerator: 1x0 + 3x1 + 4x2 + 12x3 + 3x4 + 9x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)5 (X_b)1 + (X_0)3 (X_b)1 (X_c)2 + (X_0)3 (X_b)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_a)2 (X_b)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_b)1 (X_c)2 + (X_0)1 (X_b)1 (X_c)4 + (X_0)5 (X_a)1 + (X_0)3 (X_a)1 (X_c)2 + (X_0)3 (X_a)1 (X_b)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_b)2 (X_c)1 + (X_0)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)3 (X_a)1 (X_c)2 + (X_0)1 (X_a)1 (X_c)4 + (X_0)3 (X_a)2 (X_c)1 + (X_0)1 (X_a)2 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 a a 0 0
0 0 a a 0 a
0 0 a a 0 b
0 0 a a 0 c
0 0 a b 0 0
0 0 a b 0 a
0 0 a b 0 b
0 0 a b 0 c
0 0 a c 0 0
0 0 a c 0 a
0 0 a c 0 b
0 0 a c 0 c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 b a 0 0
0 0 b a 0 a
0 0 b a 0 b
0 0 b a 0 c
0 0 b b 0 0
0 0 b b 0 a
0 0 b b 0 b
0 0 b b 0 c
0 0 b c 0 0
0 0 b c 0 a
0 0 b c 0 b
0 0 b c 0 c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c
0 0 c a 0 0
0 0 c a 0 a
0 0 c a 0 b
0 0 c a 0 c
0 0 c b 0 0
0 0 c b 0 a
0 0 c b 0 b
0 0 c b 0 c
0 0 c c 0 0
0 0 c c 0 a
0 0 c c 0 b
0 0 c c 0 c

Is it a nice code?: No

Generator Matrix-19

a 0 0 0 0 0
0 a 0 0 a 0
b 0 0 0 0 0
0 b 0 0 b 0
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b 0 0 b 0
0 b c 0 a 0
b 0 0 0 0 0
b 0 c 0 c 0
b b 0 0 b 0
b b c 0 a 0
0 a 0 0 a 0
0 a c 0 b 0
0 c 0 0 c 0
0 c c 0 0 0
b a 0 0 a 0
b a c 0 b 0
b c 0 0 c 0
b c c 0 0 0
a 0 0 0 0 0
a 0 c 0 c 0
a b 0 0 b 0
a b c 0 a 0
c 0 0 0 0 0
c 0 c 0 c 0
c b 0 0 b 0
c b c 0 a 0
a a 0 0 a 0
a a c 0 b 0
a c 0 0 c 0
a c c 0 0 0
c a 0 0 a 0
c a c 0 b 0
c c 0 0 c 0
c c c 0 0 0

dmin: 1
Weight Enumerator: 1x0 + 3x1 + 5x2 + 17x3 + 6x4 + 0x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_b)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)5 (X_b)1 + (X_0)3 (X_b)1 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)4 (X_a)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_a)2 (X_b)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_b)1 (X_c)2 + (X_0)3 (X_b)1 (X_c)2 + (X_0)5 (X_a)1 + (X_0)3 (X_a)1 (X_c)2 + (X_0)3 (X_a)1 (X_b)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_a)1 (X_c)2 + (X_0)3 (X_a)1 (X_c)2 + (X_0)3 (X_a)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 a a 0 0
0 0 a a 0 a
0 0 a a 0 b
0 0 a a 0 c
0 0 a b 0 0
0 0 a b 0 a
0 0 a b 0 b
0 0 a b 0 c
0 0 a c 0 0
0 0 a c 0 a
0 0 a c 0 b
0 0 a c 0 c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 b a 0 0
0 0 b a 0 a
0 0 b a 0 b
0 0 b a 0 c
0 0 b b 0 0
0 0 b b 0 a
0 0 b b 0 b
0 0 b b 0 c
0 0 b c 0 0
0 0 b c 0 a
0 0 b c 0 b
0 0 b c 0 c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c
0 0 c a 0 0
0 0 c a 0 a
0 0 c a 0 b
0 0 c a 0 c
0 0 c b 0 0
0 0 c b 0 a
0 0 c b 0 b
0 0 c b 0 c
0 0 c c 0 0
0 0 c c 0 a
0 0 c c 0 b
0 0 c c 0 c

Is it a nice code?: No

Generator Matrix-20

a 0 0 0 0 0
0 a 0 0 a 0
b 0 0 0 0 0
0 b 0 0 b 0
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b 0 0 b 0
0 b c 0 a c
b 0 0 0 0 0
b 0 c 0 c c
b b 0 0 b 0
b b c 0 a c
0 a 0 0 a 0
0 a c 0 b c
0 c 0 0 c 0
0 c c 0 0 c
b a 0 0 a 0
b a c 0 b c
b c 0 0 c 0
b c c 0 0 c
a 0 0 0 0 0
a 0 c 0 c c
a b 0 0 b 0
a b c 0 a c
c 0 0 0 0 0
c 0 c 0 c c
c b 0 0 b 0
c b c 0 a c
a a 0 0 a 0
a a c 0 b c
a c 0 0 c 0
a c c 0 0 c
c a 0 0 a 0
c a c 0 b c
c c 0 0 c 0
c c c 0 0 c

dmin: 1
Weight Enumerator: 1x0 + 3x1 + 3x2 + 11x3 + 8x4 + 6x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)5 (X_b)1 + (X_0)2 (X_b)1 (X_c)3 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_b)1 (X_c)2 + (X_0)2 (X_b)1 (X_c)3 + (X_0)5 (X_a)1 + (X_0)2 (X_a)1 (X_c)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)5 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)1 (X_c)2 + (X_0)2 (X_a)1 (X_c)3 + (X_0)3 (X_a)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 a a 0 0
0 0 a a 0 a
0 0 a a 0 b
0 0 a a 0 c
0 0 a b 0 0
0 0 a b 0 a
0 0 a b 0 b
0 0 a b 0 c
0 0 a c 0 0
0 0 a c 0 a
0 0 a c 0 b
0 0 a c 0 c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 b a 0 0
0 0 b a 0 a
0 0 b a 0 b
0 0 b a 0 c
0 0 b b 0 0
0 0 b b 0 a
0 0 b b 0 b
0 0 b b 0 c
0 0 b c 0 0
0 0 b c 0 a
0 0 b c 0 b
0 0 b c 0 c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c
0 0 c a 0 0
0 0 c a 0 a
0 0 c a 0 b
0 0 c a 0 c
0 0 c b 0 0
0 0 c b 0 a
0 0 c b 0 b
0 0 c b 0 c
0 0 c c 0 0
0 0 c c 0 a
0 0 c c 0 b
0 0 c c 0 c

Is it a nice code?: No

Generator Matrix-21

a 0 0 0 0 0
0 a 0 0 a 0
b 0 0 0 0 0
0 b 0 0 b 0
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b 0 0 b 0
0 b c c b 0
b 0 0 0 0 0
b 0 c c 0 0
b b 0 0 b 0
b b c c b 0
0 a 0 0 a 0
0 a c c a 0
0 c 0 0 c 0
0 c c c c 0
b a 0 0 a 0
b a c c a 0
b c 0 0 c 0
b c c c c 0
a 0 0 0 0 0
a 0 c c 0 0
a b 0 0 b 0
a b c c b 0
c 0 0 0 0 0
c 0 c c 0 0
c b 0 0 b 0
c b c c b 0
a a 0 0 a 0
a a c c a 0
a c 0 0 c 0
a c c c c 0
c a 0 0 a 0
c a c c a 0
c c 0 0 c 0
c c c c c 0

dmin: 1
Weight Enumerator: 1x0 + 3x1 + 4x2 + 12x3 + 3x4 + 9x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)5 (X_b)1 + (X_0)3 (X_b)1 (X_c)2 + (X_0)3 (X_b)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_a)2 (X_b)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_b)1 (X_c)2 + (X_0)1 (X_b)1 (X_c)4 + (X_0)5 (X_a)1 + (X_0)3 (X_a)1 (X_c)2 + (X_0)3 (X_a)1 (X_b)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_b)2 (X_c)1 + (X_0)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)3 (X_a)1 (X_c)2 + (X_0)1 (X_a)1 (X_c)4 + (X_0)3 (X_a)2 (X_c)1 + (X_0)1 (X_a)2 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 a a 0 0
0 0 a a 0 a
0 0 a a 0 b
0 0 a a 0 c
0 0 a b 0 0
0 0 a b 0 a
0 0 a b 0 b
0 0 a b 0 c
0 0 a c 0 0
0 0 a c 0 a
0 0 a c 0 b
0 0 a c 0 c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 b a 0 0
0 0 b a 0 a
0 0 b a 0 b
0 0 b a 0 c
0 0 b b 0 0
0 0 b b 0 a
0 0 b b 0 b
0 0 b b 0 c
0 0 b c 0 0
0 0 b c 0 a
0 0 b c 0 b
0 0 b c 0 c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c
0 0 c a 0 0
0 0 c a 0 a
0 0 c a 0 b
0 0 c a 0 c
0 0 c b 0 0
0 0 c b 0 a
0 0 c b 0 b
0 0 c b 0 c
0 0 c c 0 0
0 0 c c 0 a
0 0 c c 0 b
0 0 c c 0 c

Is it a nice code?: No

Generator Matrix-22

a 0 0 0 0 0
0 a 0 0 a 0
b 0 0 0 0 0
0 b 0 0 b 0
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b 0 0 b 0
0 b c c b c
b 0 0 0 0 0
b 0 c c 0 c
b b 0 0 b 0
b b c c b c
0 a 0 0 a 0
0 a c c a c
0 c 0 0 c 0
0 c c c c c
b a 0 0 a 0
b a c c a c
b c 0 0 c 0
b c c c c c
a 0 0 0 0 0
a 0 c c 0 c
a b 0 0 b 0
a b c c b c
c 0 0 0 0 0
c 0 c c 0 c
c b 0 0 b 0
c b c c b c
a a 0 0 a 0
a a c c a c
a c 0 0 c 0
a c c c c c
c a 0 0 a 0
c a c c a c
c c 0 0 c 0
c c c c c c

dmin: 1
Weight Enumerator: 1x0 + 3x1 + 3x2 + 10x3 + 3x4 + 3x5 + 9x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)4 (X_b)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)5 (X_b)1 + (X_0)2 (X_b)1 (X_c)3 + (X_0)3 (X_b)3 + (X_b)3 (X_c)3 + (X_0)4 (X_a)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5 + (X_0)3 (X_a)2 (X_b)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_b)1 (X_c)2 + (X_b)1 (X_c)5 + (X_0)5 (X_a)1 + (X_0)2 (X_a)1 (X_c)3 + (X_0)3 (X_a)1 (X_b)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)5 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_b)2 (X_c)1 + (X_b)2 (X_c)4 + (X_0)3 (X_a)3 + (X_a)3 (X_c)3 + (X_0)3 (X_a)1 (X_c)2 + (X_a)1 (X_c)5 + (X_0)3 (X_a)2 (X_c)1 + (X_a)2 (X_c)4 + (X_0)3 (X_c)3 + (X_c)6

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 a a 0 0
0 0 a a 0 a
0 0 a a 0 b
0 0 a a 0 c
0 0 a b 0 0
0 0 a b 0 a
0 0 a b 0 b
0 0 a b 0 c
0 0 a c 0 0
0 0 a c 0 a
0 0 a c 0 b
0 0 a c 0 c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 b a 0 0
0 0 b a 0 a
0 0 b a 0 b
0 0 b a 0 c
0 0 b b 0 0
0 0 b b 0 a
0 0 b b 0 b
0 0 b b 0 c
0 0 b c 0 0
0 0 b c 0 a
0 0 b c 0 b
0 0 b c 0 c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c
0 0 c a 0 0
0 0 c a 0 a
0 0 c a 0 b
0 0 c a 0 c
0 0 c b 0 0
0 0 c b 0 a
0 0 c b 0 b
0 0 c b 0 c
0 0 c c 0 0
0 0 c c 0 a
0 0 c c 0 b
0 0 c c 0 c

Is it a nice code?: No

Generator Matrix-23

a 0 0 0 0 0
0 a 0 0 a 0
b 0 0 0 0 0
0 b 0 0 b 0
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b 0 0 b 0
0 b c c a 0
b 0 0 0 0 0
b 0 c c c 0
b b 0 0 b 0
b b c c a 0
0 a 0 0 a 0
0 a c c b 0
0 c 0 0 c 0
0 c c c 0 0
b a 0 0 a 0
b a c c b 0
b c 0 0 c 0
b c c c 0 0
a 0 0 0 0 0
a 0 c c c 0
a b 0 0 b 0
a b c c a 0
c 0 0 0 0 0
c 0 c c c 0
c b 0 0 b 0
c b c c a 0
a a 0 0 a 0
a a c c b 0
a c 0 0 c 0
a c c c 0 0
c a 0 0 a 0
c a c c b 0
c c 0 0 c 0
c c c c 0 0

dmin: 1
Weight Enumerator: 1x0 + 3x1 + 3x2 + 11x3 + 8x4 + 6x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)5 (X_b)1 + (X_0)2 (X_b)1 (X_c)3 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_b)1 (X_c)2 + (X_0)2 (X_b)1 (X_c)3 + (X_0)5 (X_a)1 + (X_0)2 (X_a)1 (X_c)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)5 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)1 (X_c)2 + (X_0)2 (X_a)1 (X_c)3 + (X_0)3 (X_a)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 a a 0 0
0 0 a a 0 a
0 0 a a 0 b
0 0 a a 0 c
0 0 a b 0 0
0 0 a b 0 a
0 0 a b 0 b
0 0 a b 0 c
0 0 a c 0 0
0 0 a c 0 a
0 0 a c 0 b
0 0 a c 0 c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 b a 0 0
0 0 b a 0 a
0 0 b a 0 b
0 0 b a 0 c
0 0 b b 0 0
0 0 b b 0 a
0 0 b b 0 b
0 0 b b 0 c
0 0 b c 0 0
0 0 b c 0 a
0 0 b c 0 b
0 0 b c 0 c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c
0 0 c a 0 0
0 0 c a 0 a
0 0 c a 0 b
0 0 c a 0 c
0 0 c b 0 0
0 0 c b 0 a
0 0 c b 0 b
0 0 c b 0 c
0 0 c c 0 0
0 0 c c 0 a
0 0 c c 0 b
0 0 c c 0 c

Is it a nice code?: No

Generator Matrix-24

a 0 0 0 0 0
0 a 0 0 a 0
b 0 0 0 0 0
0 b 0 0 b 0
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b 0 0 b 0
0 b c c a c
b 0 0 0 0 0
b 0 c c c c
b b 0 0 b 0
b b c c a c
0 a 0 0 a 0
0 a c c b c
0 c 0 0 c 0
0 c c c 0 c
b a 0 0 a 0
b a c c b c
b c 0 0 c 0
b c c c 0 c
a 0 0 0 0 0
a 0 c c c c
a b 0 0 b 0
a b c c a c
c 0 0 0 0 0
c 0 c c c c
c b 0 0 b 0
c b c c a c
a a 0 0 a 0
a a c c b c
a c 0 0 c 0
a c c c 0 c
c a 0 0 a 0
c a c c b c
c c 0 0 c 0
c c c c 0 c

dmin: 1
Weight Enumerator: 1x0 + 3x1 + 3x2 + 9x3 + 2x4 + 8x5 + 6x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)4 (X_b)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)5 (X_b)1 + (X_0)1 (X_b)1 (X_c)4 + (X_0)3 (X_b)3 + (X_a)1 (X_b)2 (X_c)3 + (X_0)4 (X_a)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_a)2 (X_b)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_b)1 (X_c)2 + (X_0)1 (X_b)1 (X_c)4 + (X_0)5 (X_a)1 + (X_0)1 (X_a)1 (X_c)4 + (X_0)3 (X_a)1 (X_b)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)5 (X_c)1 + (X_0)1 (X_c)5 + (X_0)3 (X_b)2 (X_c)1 + (X_a)1 (X_b)1 (X_c)4 + (X_0)3 (X_a)3 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_a)1 (X_c)2 + (X_0)1 (X_a)1 (X_c)4 + (X_0)3 (X_a)2 (X_c)1 + (X_a)1 (X_b)1 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 a a 0 0
0 0 a a 0 a
0 0 a a 0 b
0 0 a a 0 c
0 0 a b 0 0
0 0 a b 0 a
0 0 a b 0 b
0 0 a b 0 c
0 0 a c 0 0
0 0 a c 0 a
0 0 a c 0 b
0 0 a c 0 c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 b a 0 0
0 0 b a 0 a
0 0 b a 0 b
0 0 b a 0 c
0 0 b b 0 0
0 0 b b 0 a
0 0 b b 0 b
0 0 b b 0 c
0 0 b c 0 0
0 0 b c 0 a
0 0 b c 0 b
0 0 b c 0 c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c
0 0 c a 0 0
0 0 c a 0 a
0 0 c a 0 b
0 0 c a 0 c
0 0 c b 0 0
0 0 c b 0 a
0 0 c b 0 b
0 0 c b 0 c
0 0 c c 0 0
0 0 c c 0 a
0 0 c c 0 b
0 0 c c 0 c

Is it a nice code?: No

Generator Matrix-25

a 0 0 0 0 0
0 a 0 0 a a
b 0 0 0 0 0
0 b 0 0 b b
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b 0 0 b b
0 b c 0 b b
b 0 0 0 0 0
b 0 c 0 0 0
b b 0 0 b b
b b c 0 b b
0 a 0 0 a a
0 a c 0 a a
0 c 0 0 c c
0 c c 0 c c
b a 0 0 a a
b a c 0 a a
b c 0 0 c c
b c c 0 c c
a 0 0 0 0 0
a 0 c 0 0 0
a b 0 0 b b
a b c 0 b b
c 0 0 0 0 0
c 0 c 0 0 0
c b 0 0 b b
c b c 0 b b
a a 0 0 a a
a a c 0 a a
a c 0 0 c c
a c c 0 c c
c a 0 0 a a
c a c 0 a a
c c 0 0 c c
c c c 0 c c

dmin: 1
Weight Enumerator: 1x0 + 4x1 + 3x2 + 3x3 + 12x4 + 9x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_b)3 (X_c)1 + (X_0)5 (X_b)1 + (X_0)4 (X_b)1 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_b)4 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)3 (X_c)1 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_b)1 (X_c)3 + (X_0)1 (X_b)1 (X_c)4 + (X_0)5 (X_a)1 + (X_0)4 (X_a)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)2 (X_b)3 (X_c)1 + (X_0)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)4 (X_c)1 + (X_0)2 (X_a)1 (X_c)3 + (X_0)1 (X_a)1 (X_c)4 + (X_0)2 (X_a)3 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0
0 0 a 0 0 0
0 0 a a 0 0
0 0 a b 0 0
0 0 a c 0 0
0 0 b 0 0 0
0 0 b a 0 0
0 0 b b 0 0
0 0 b c 0 0
0 0 c 0 0 0
0 0 c a 0 0
0 0 c b 0 0
0 0 c c 0 0

Is it a nice code?: No

Generator Matrix-26

a 0 0 0 0 0
0 a 0 0 a a
b 0 0 0 0 0
0 b 0 0 b b
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b 0 0 b b
0 b c 0 b a
b 0 0 0 0 0
b 0 c 0 0 c
b b 0 0 b b
b b c 0 b a
0 a 0 0 a a
0 a c 0 a b
0 c 0 0 c c
0 c c 0 c 0
b a 0 0 a a
b a c 0 a b
b c 0 0 c c
b c c 0 c 0
a 0 0 0 0 0
a 0 c 0 0 c
a b 0 0 b b
a b c 0 b a
c 0 0 0 0 0
c 0 c 0 0 c
c b 0 0 b b
c b c 0 b a
a a 0 0 a a
a a c 0 a b
a c 0 0 c c
a c c 0 c 0
c a 0 0 a a
c a c 0 a b
c c 0 0 c c
c c c 0 c 0

dmin: 1
Weight Enumerator: 1x0 + 3x1 + 1x2 + 7x3 + 14x4 + 6x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)5 (X_b)1 + (X_0)3 (X_b)1 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_b)1 (X_c)3 + (X_0)2 (X_b)1 (X_c)3 + (X_0)5 (X_a)1 + (X_0)3 (X_a)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_c)3 + (X_0)2 (X_a)1 (X_c)3 + (X_0)2 (X_a)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0
0 0 a 0 0 0
0 0 a a 0 0
0 0 a b 0 0
0 0 a c 0 0
0 0 b 0 0 0
0 0 b a 0 0
0 0 b b 0 0
0 0 b c 0 0
0 0 c 0 0 0
0 0 c a 0 0
0 0 c b 0 0
0 0 c c 0 0

Is it a nice code?: No

Generator Matrix-27

a 0 0 0 0 0
0 a 0 0 a a
b 0 0 0 0 0
0 b 0 0 b b
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b 0 0 b b
0 b c 0 a b
b 0 0 0 0 0
b 0 c 0 c 0
b b 0 0 b b
b b c 0 a b
0 a 0 0 a a
0 a c 0 b a
0 c 0 0 c c
0 c c 0 0 c
b a 0 0 a a
b a c 0 b a
b c 0 0 c c
b c c 0 0 c
a 0 0 0 0 0
a 0 c 0 c 0
a b 0 0 b b
a b c 0 a b
c 0 0 0 0 0
c 0 c 0 c 0
c b 0 0 b b
c b c 0 a b
a a 0 0 a a
a a c 0 b a
a c 0 0 c c
a c c 0 0 c
c a 0 0 a a
c a c 0 b a
c c 0 0 c c
c c c 0 0 c

dmin: 1
Weight Enumerator: 1x0 + 3x1 + 1x2 + 7x3 + 14x4 + 6x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)5 (X_b)1 + (X_0)3 (X_b)1 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_b)1 (X_c)3 + (X_0)2 (X_b)1 (X_c)3 + (X_0)5 (X_a)1 + (X_0)3 (X_a)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_c)3 + (X_0)2 (X_a)1 (X_c)3 + (X_0)2 (X_a)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0
0 0 a 0 0 0
0 0 a a 0 0
0 0 a b 0 0
0 0 a c 0 0
0 0 b 0 0 0
0 0 b a 0 0
0 0 b b 0 0
0 0 b c 0 0
0 0 c 0 0 0
0 0 c a 0 0
0 0 c b 0 0
0 0 c c 0 0

Is it a nice code?: No

Generator Matrix-28

a 0 0 0 0 0
0 a 0 0 a a
b 0 0 0 0 0
0 b 0 0 b b
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b 0 0 b b
0 b c 0 a a
b 0 0 0 0 0
b 0 c 0 c c
b b 0 0 b b
b b c 0 a a
0 a 0 0 a a
0 a c 0 b b
0 c 0 0 c c
0 c c 0 0 0
b a 0 0 a a
b a c 0 b b
b c 0 0 c c
b c c 0 0 0
a 0 0 0 0 0
a 0 c 0 c c
a b 0 0 b b
a b c 0 a a
c 0 0 0 0 0
c 0 c 0 c c
c b 0 0 b b
c b c 0 a a
a a 0 0 a a
a a c 0 b b
a c 0 0 c c
a c c 0 0 0
c a 0 0 a a
c a c 0 b b
c c 0 0 c c
c c c 0 0 0

dmin: 1
Weight Enumerator: 1x0 + 3x1 + 1x2 + 7x3 + 14x4 + 6x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)5 (X_b)1 + (X_0)2 (X_b)1 (X_c)3 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_b)1 (X_c)3 + (X_0)3 (X_b)1 (X_c)2 + (X_0)5 (X_a)1 + (X_0)2 (X_a)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)5 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_c)3 + (X_0)3 (X_a)1 (X_c)2 + (X_0)2 (X_a)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0
0 0 a 0 0 0
0 0 a a 0 0
0 0 a b 0 0
0 0 a c 0 0
0 0 b 0 0 0
0 0 b a 0 0
0 0 b b 0 0
0 0 b c 0 0
0 0 c 0 0 0
0 0 c a 0 0
0 0 c b 0 0
0 0 c c 0 0

Is it a nice code?: No

Generator Matrix-29

a 0 0 0 0 0
0 a 0 0 a a
b 0 0 0 0 0
0 b 0 0 b b
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b 0 0 b b
0 b c c b b
b 0 0 0 0 0
b 0 c c 0 0
b b 0 0 b b
b b c c b b
0 a 0 0 a a
0 a c c a a
0 c 0 0 c c
0 c c c c c
b a 0 0 a a
b a c c a a
b c 0 0 c c
b c c c c c
a 0 0 0 0 0
a 0 c c 0 0
a b 0 0 b b
a b c c b b
c 0 0 0 0 0
c 0 c c 0 0
c b 0 0 b b
c b c c b b
a a 0 0 a a
a a c c a a
a c 0 0 c c
a c c c c c
c a 0 0 a a
c a c c a a
c c 0 0 c c
c c c c c c

dmin: 1
Weight Enumerator: 1x0 + 3x1 + 1x2 + 6x3 + 9x4 + 3x5 + 9x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)5 (X_b)1 + (X_0)3 (X_b)1 (X_c)2 + (X_0)2 (X_b)4 + (X_b)4 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)2 (X_a)3 (X_b)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_b)1 (X_c)3 + (X_b)1 (X_c)5 + (X_0)5 (X_a)1 + (X_0)3 (X_a)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)3 + (X_a)1 (X_b)3 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)2 (X_b)3 (X_c)1 + (X_b)3 (X_c)3 + (X_0)2 (X_a)4 + (X_a)4 (X_c)2 + (X_0)2 (X_a)1 (X_c)3 + (X_a)1 (X_c)5 + (X_0)2 (X_a)3 (X_c)1 + (X_a)3 (X_c)3 + (X_0)2 (X_c)4 + (X_c)6

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0
0 0 a 0 0 0
0 0 a a 0 0
0 0 a b 0 0
0 0 a c 0 0
0 0 b 0 0 0
0 0 b a 0 0
0 0 b b 0 0
0 0 b c 0 0
0 0 c 0 0 0
0 0 c a 0 0
0 0 c b 0 0
0 0 c c 0 0

Is it a nice code?: No

Generator Matrix-30

a 0 0 0 0 0
0 a 0 0 a a
b 0 0 0 0 0
0 b 0 0 b b
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b 0 0 b b
0 b c c b a
b 0 0 0 0 0
b 0 c c 0 c
b b 0 0 b b
b b c c b a
0 a 0 0 a a
0 a c c a b
0 c 0 0 c c
0 c c c c 0
b a 0 0 a a
b a c c a b
b c 0 0 c c
b c c c c 0
a 0 0 0 0 0
a 0 c c 0 c
a b 0 0 b b
a b c c b a
c 0 0 0 0 0
c 0 c c 0 c
c b 0 0 b b
c b c c b a
a a 0 0 a a
a a c c a b
a c 0 0 c c
a c c c c 0
c a 0 0 a a
c a c c a b
c c 0 0 c c
c c c c c 0

dmin: 1
Weight Enumerator: 1x0 + 3x1 + 0x2 + 4x3 + 13x4 + 5x5 + 6x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)5 (X_b)1 + (X_0)2 (X_b)1 (X_c)3 + (X_0)2 (X_b)4 + (X_a)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_a)3 (X_b)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_b)1 (X_c)3 + (X_0)1 (X_b)1 (X_c)4 + (X_0)5 (X_a)1 + (X_0)2 (X_a)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)3 + (X_a)2 (X_b)2 (X_c)2 + (X_0)5 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_b)3 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)4 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_c)3 + (X_0)1 (X_a)1 (X_c)4 + (X_0)2 (X_a)3 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0
0 0 a 0 0 0
0 0 a a 0 0
0 0 a b 0 0
0 0 a c 0 0
0 0 b 0 0 0
0 0 b a 0 0
0 0 b b 0 0
0 0 b c 0 0
0 0 c 0 0 0
0 0 c a 0 0
0 0 c b 0 0
0 0 c c 0 0

Is it a nice code?: No

Generator Matrix-31

a 0 0 0 0 0
0 a 0 0 a a
b 0 0 0 0 0
0 b 0 0 b b
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b 0 0 b b
0 b c c a b
b 0 0 0 0 0
b 0 c c c 0
b b 0 0 b b
b b c c a b
0 a 0 0 a a
0 a c c b a
0 c 0 0 c c
0 c c c 0 c
b a 0 0 a a
b a c c b a
b c 0 0 c c
b c c c 0 c
a 0 0 0 0 0
a 0 c c c 0
a b 0 0 b b
a b c c a b
c 0 0 0 0 0
c 0 c c c 0
c b 0 0 b b
c b c c a b
a a 0 0 a a
a a c c b a
a c 0 0 c c
a c c c 0 c
c a 0 0 a a
c a c c b a
c c 0 0 c c
c c c c 0 c

dmin: 1
Weight Enumerator: 1x0 + 3x1 + 0x2 + 4x3 + 13x4 + 5x5 + 6x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)5 (X_b)1 + (X_0)2 (X_b)1 (X_c)3 + (X_0)2 (X_b)4 + (X_a)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_a)3 (X_b)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_b)1 (X_c)3 + (X_0)1 (X_b)1 (X_c)4 + (X_0)5 (X_a)1 + (X_0)2 (X_a)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)3 + (X_a)2 (X_b)2 (X_c)2 + (X_0)5 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_b)3 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)4 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_c)3 + (X_0)1 (X_a)1 (X_c)4 + (X_0)2 (X_a)3 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0
0 0 a 0 0 0
0 0 a a 0 0
0 0 a b 0 0
0 0 a c 0 0
0 0 b 0 0 0
0 0 b a 0 0
0 0 b b 0 0
0 0 b c 0 0
0 0 c 0 0 0
0 0 c a 0 0
0 0 c b 0 0
0 0 c c 0 0

Is it a nice code?: No

Generator Matrix-32

a 0 0 0 0 0
0 a 0 0 a a
b 0 0 0 0 0
0 b 0 0 b b
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b 0 0 b b
0 b c c a a
b 0 0 0 0 0
b 0 c c c c
b b 0 0 b b
b b c c a a
0 a 0 0 a a
0 a c c b b
0 c 0 0 c c
0 c c c 0 0
b a 0 0 a a
b a c c b b
b c 0 0 c c
b c c c 0 0
a 0 0 0 0 0
a 0 c c c c
a b 0 0 b b
a b c c a a
c 0 0 0 0 0
c 0 c c c c
c b 0 0 b b
c b c c a a
a a 0 0 a a
a a c c b b
a c 0 0 c c
a c c c 0 0
c a 0 0 a a
c a c c b b
c c 0 0 c c
c c c c 0 0

dmin: 1
Weight Enumerator: 1x0 + 3x1 + 0x2 + 4x3 + 13x4 + 5x5 + 6x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)3 (X_b)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)5 (X_b)1 + (X_0)1 (X_b)1 (X_c)4 + (X_0)2 (X_b)4 + (X_a)2 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_a)3 (X_b)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_b)1 (X_c)3 + (X_0)2 (X_b)1 (X_c)3 + (X_0)5 (X_a)1 + (X_0)1 (X_a)1 (X_c)4 + (X_0)2 (X_a)1 (X_b)3 + (X_a)3 (X_b)1 (X_c)2 + (X_0)5 (X_c)1 + (X_0)1 (X_c)5 + (X_0)2 (X_b)3 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)4 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_c)3 + (X_0)2 (X_a)1 (X_c)3 + (X_0)2 (X_a)3 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0
0 0 a 0 0 0
0 0 a a 0 0
0 0 a b 0 0
0 0 a c 0 0
0 0 b 0 0 0
0 0 b a 0 0
0 0 b b 0 0
0 0 b c 0 0
0 0 c 0 0 0
0 0 c a 0 0
0 0 c b 0 0
0 0 c c 0 0

Is it a nice code?: No

Generator Matrix-33

a 0 0 0 0 0
0 a 0 a 0 0
b 0 0 0 0 0
0 b 0 b 0 0
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b 0 b 0 0
0 b c b 0 0
b 0 0 0 0 0
b 0 c 0 0 0
b b 0 b 0 0
b b c b 0 0
0 a 0 a 0 0
0 a c a 0 0
0 c 0 c 0 0
0 c c c 0 0
b a 0 a 0 0
b a c a 0 0
b c 0 c 0 0
b c c c 0 0
a 0 0 0 0 0
a 0 c 0 0 0
a b 0 b 0 0
a b c b 0 0
c 0 0 0 0 0
c 0 c 0 0 0
c b 0 b 0 0
c b c b 0 0
a a 0 a 0 0
a a c a 0 0
a c 0 c 0 0
a c c c 0 0
c a 0 a 0 0
c a c a 0 0
c c 0 c 0 0
c c c c 0 0

dmin: 1
Weight Enumerator: 1x0 + 4x1 + 6x2 + 12x3 + 9x4 + 0x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)4 (X_b)2 + (X_0)3 (X_b)2 (X_c)1 + (X_0)5 (X_b)1 + (X_0)4 (X_b)1 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_b)3 (X_c)1 + (X_0)4 (X_a)2 + (X_0)3 (X_a)2 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_b)1 (X_c)2 + (X_0)2 (X_b)1 (X_c)3 + (X_0)5 (X_a)1 + (X_0)4 (X_a)1 (X_c)1 + (X_0)3 (X_a)1 (X_b)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_b)2 (X_c)1 + (X_0)2 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)3 (X_c)1 + (X_0)3 (X_a)1 (X_c)2 + (X_0)2 (X_a)1 (X_c)3 + (X_0)3 (X_a)2 (X_c)1 + (X_0)2 (X_a)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 a 0 a 0
0 0 a 0 a a
0 0 a 0 a b
0 0 a 0 a c
0 0 a 0 b 0
0 0 a 0 b a
0 0 a 0 b b
0 0 a 0 b c
0 0 a 0 c 0
0 0 a 0 c a
0 0 a 0 c b
0 0 a 0 c c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 b 0 a 0
0 0 b 0 a a
0 0 b 0 a b
0 0 b 0 a c
0 0 b 0 b 0
0 0 b 0 b a
0 0 b 0 b b
0 0 b 0 b c
0 0 b 0 c 0
0 0 b 0 c a
0 0 b 0 c b
0 0 b 0 c c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c
0 0 c 0 a 0
0 0 c 0 a a
0 0 c 0 a b
0 0 c 0 a c
0 0 c 0 b 0
0 0 c 0 b a
0 0 c 0 b b
0 0 c 0 b c
0 0 c 0 c 0
0 0 c 0 c a
0 0 c 0 c b
0 0 c 0 c c

Is it a nice code?: No

Generator Matrix-34

a 0 0 0 0 0
0 a 0 a 0 0
b 0 0 0 0 0
0 b 0 b 0 0
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b 0 b 0 0
0 b c b 0 c
b 0 0 0 0 0
b 0 c 0 0 c
b b 0 b 0 0
b b c b 0 c
0 a 0 a 0 0
0 a c a 0 c
0 c 0 c 0 0
0 c c c 0 c
b a 0 a 0 0
b a c a 0 c
b c 0 c 0 0
b c c c 0 c
a 0 0 0 0 0
a 0 c 0 0 c
a b 0 b 0 0
a b c b 0 c
c 0 0 0 0 0
c 0 c 0 0 c
c b 0 b 0 0
c b c b 0 c
a a 0 a 0 0
a a c a 0 c
a c 0 c 0 0
a c c c 0 c
c a 0 a 0 0
c a c a 0 c
c c 0 c 0 0
c c c c 0 c

dmin: 1
Weight Enumerator: 1x0 + 3x1 + 4x2 + 12x3 + 3x4 + 9x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)5 (X_b)1 + (X_0)3 (X_b)1 (X_c)2 + (X_0)3 (X_b)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_a)2 (X_b)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_b)1 (X_c)2 + (X_0)1 (X_b)1 (X_c)4 + (X_0)5 (X_a)1 + (X_0)3 (X_a)1 (X_c)2 + (X_0)3 (X_a)1 (X_b)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_b)2 (X_c)1 + (X_0)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)3 (X_a)1 (X_c)2 + (X_0)1 (X_a)1 (X_c)4 + (X_0)3 (X_a)2 (X_c)1 + (X_0)1 (X_a)2 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 a 0 a 0
0 0 a 0 a a
0 0 a 0 a b
0 0 a 0 a c
0 0 a 0 b 0
0 0 a 0 b a
0 0 a 0 b b
0 0 a 0 b c
0 0 a 0 c 0
0 0 a 0 c a
0 0 a 0 c b
0 0 a 0 c c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 b 0 a 0
0 0 b 0 a a
0 0 b 0 a b
0 0 b 0 a c
0 0 b 0 b 0
0 0 b 0 b a
0 0 b 0 b b
0 0 b 0 b c
0 0 b 0 c 0
0 0 b 0 c a
0 0 b 0 c b
0 0 b 0 c c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c
0 0 c 0 a 0
0 0 c 0 a a
0 0 c 0 a b
0 0 c 0 a c
0 0 c 0 b 0
0 0 c 0 b a
0 0 c 0 b b
0 0 c 0 b c
0 0 c 0 c 0
0 0 c 0 c a
0 0 c 0 c b
0 0 c 0 c c

Is it a nice code?: No

Generator Matrix-35

a 0 0 0 0 0
0 a 0 a 0 0
b 0 0 0 0 0
0 b 0 b 0 0
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b 0 b 0 0
0 b c b c 0
b 0 0 0 0 0
b 0 c 0 c 0
b b 0 b 0 0
b b c b c 0
0 a 0 a 0 0
0 a c a c 0
0 c 0 c 0 0
0 c c c c 0
b a 0 a 0 0
b a c a c 0
b c 0 c 0 0
b c c c c 0
a 0 0 0 0 0
a 0 c 0 c 0
a b 0 b 0 0
a b c b c 0
c 0 0 0 0 0
c 0 c 0 c 0
c b 0 b 0 0
c b c b c 0
a a 0 a 0 0
a a c a c 0
a c 0 c 0 0
a c c c c 0
c a 0 a 0 0
c a c a c 0
c c 0 c 0 0
c c c c c 0

dmin: 1
Weight Enumerator: 1x0 + 3x1 + 4x2 + 12x3 + 3x4 + 9x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)5 (X_b)1 + (X_0)3 (X_b)1 (X_c)2 + (X_0)3 (X_b)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_a)2 (X_b)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_b)1 (X_c)2 + (X_0)1 (X_b)1 (X_c)4 + (X_0)5 (X_a)1 + (X_0)3 (X_a)1 (X_c)2 + (X_0)3 (X_a)1 (X_b)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_b)2 (X_c)1 + (X_0)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)3 (X_a)1 (X_c)2 + (X_0)1 (X_a)1 (X_c)4 + (X_0)3 (X_a)2 (X_c)1 + (X_0)1 (X_a)2 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 a 0 a 0
0 0 a 0 a a
0 0 a 0 a b
0 0 a 0 a c
0 0 a 0 b 0
0 0 a 0 b a
0 0 a 0 b b
0 0 a 0 b c
0 0 a 0 c 0
0 0 a 0 c a
0 0 a 0 c b
0 0 a 0 c c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 b 0 a 0
0 0 b 0 a a
0 0 b 0 a b
0 0 b 0 a c
0 0 b 0 b 0
0 0 b 0 b a
0 0 b 0 b b
0 0 b 0 b c
0 0 b 0 c 0
0 0 b 0 c a
0 0 b 0 c b
0 0 b 0 c c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c
0 0 c 0 a 0
0 0 c 0 a a
0 0 c 0 a b
0 0 c 0 a c
0 0 c 0 b 0
0 0 c 0 b a
0 0 c 0 b b
0 0 c 0 b c
0 0 c 0 c 0
0 0 c 0 c a
0 0 c 0 c b
0 0 c 0 c c

Is it a nice code?: No

Generator Matrix-36

a 0 0 0 0 0
0 a 0 a 0 0
b 0 0 0 0 0
0 b 0 b 0 0
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b 0 b 0 0
0 b c b c c
b 0 0 0 0 0
b 0 c 0 c c
b b 0 b 0 0
b b c b c c
0 a 0 a 0 0
0 a c a c c
0 c 0 c 0 0
0 c c c c c
b a 0 a 0 0
b a c a c c
b c 0 c 0 0
b c c c c c
a 0 0 0 0 0
a 0 c 0 c c
a b 0 b 0 0
a b c b c c
c 0 0 0 0 0
c 0 c 0 c c
c b 0 b 0 0
c b c b c c
a a 0 a 0 0
a a c a c c
a c 0 c 0 0
a c c c c c
c a 0 a 0 0
c a c a c c
c c 0 c 0 0
c c c c c c

dmin: 1
Weight Enumerator: 1x0 + 3x1 + 3x2 + 10x3 + 3x4 + 3x5 + 9x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)4 (X_b)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)5 (X_b)1 + (X_0)2 (X_b)1 (X_c)3 + (X_0)3 (X_b)3 + (X_b)3 (X_c)3 + (X_0)4 (X_a)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5 + (X_0)3 (X_a)2 (X_b)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_b)1 (X_c)2 + (X_b)1 (X_c)5 + (X_0)5 (X_a)1 + (X_0)2 (X_a)1 (X_c)3 + (X_0)3 (X_a)1 (X_b)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)5 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_b)2 (X_c)1 + (X_b)2 (X_c)4 + (X_0)3 (X_a)3 + (X_a)3 (X_c)3 + (X_0)3 (X_a)1 (X_c)2 + (X_a)1 (X_c)5 + (X_0)3 (X_a)2 (X_c)1 + (X_a)2 (X_c)4 + (X_0)3 (X_c)3 + (X_c)6

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 a 0 a 0
0 0 a 0 a a
0 0 a 0 a b
0 0 a 0 a c
0 0 a 0 b 0
0 0 a 0 b a
0 0 a 0 b b
0 0 a 0 b c
0 0 a 0 c 0
0 0 a 0 c a
0 0 a 0 c b
0 0 a 0 c c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 b 0 a 0
0 0 b 0 a a
0 0 b 0 a b
0 0 b 0 a c
0 0 b 0 b 0
0 0 b 0 b a
0 0 b 0 b b
0 0 b 0 b c
0 0 b 0 c 0
0 0 b 0 c a
0 0 b 0 c b
0 0 b 0 c c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c
0 0 c 0 a 0
0 0 c 0 a a
0 0 c 0 a b
0 0 c 0 a c
0 0 c 0 b 0
0 0 c 0 b a
0 0 c 0 b b
0 0 c 0 b c
0 0 c 0 c 0
0 0 c 0 c a
0 0 c 0 c b
0 0 c 0 c c

Is it a nice code?: No

Generator Matrix-37

a 0 0 0 0 0
0 a 0 a 0 0
b 0 0 0 0 0
0 b 0 b 0 0
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b 0 b 0 0
0 b c a 0 0
b 0 0 0 0 0
b 0 c c 0 0
b b 0 b 0 0
b b c a 0 0
0 a 0 a 0 0
0 a c b 0 0
0 c 0 c 0 0
0 c c 0 0 0
b a 0 a 0 0
b a c b 0 0
b c 0 c 0 0
b c c 0 0 0
a 0 0 0 0 0
a 0 c c 0 0
a b 0 b 0 0
a b c a 0 0
c 0 0 0 0 0
c 0 c c 0 0
c b 0 b 0 0
c b c a 0 0
a a 0 a 0 0
a a c b 0 0
a c 0 c 0 0
a c c 0 0 0
c a 0 a 0 0
c a c b 0 0
c c 0 c 0 0
c c c 0 0 0

dmin: 1
Weight Enumerator: 1x0 + 3x1 + 5x2 + 17x3 + 6x4 + 0x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_b)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)5 (X_b)1 + (X_0)3 (X_b)1 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)4 (X_a)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_a)2 (X_b)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_b)1 (X_c)2 + (X_0)3 (X_b)1 (X_c)2 + (X_0)5 (X_a)1 + (X_0)3 (X_a)1 (X_c)2 + (X_0)3 (X_a)1 (X_b)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_a)1 (X_c)2 + (X_0)3 (X_a)1 (X_c)2 + (X_0)3 (X_a)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 a 0 a 0
0 0 a 0 a a
0 0 a 0 a b
0 0 a 0 a c
0 0 a 0 b 0
0 0 a 0 b a
0 0 a 0 b b
0 0 a 0 b c
0 0 a 0 c 0
0 0 a 0 c a
0 0 a 0 c b
0 0 a 0 c c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 b 0 a 0
0 0 b 0 a a
0 0 b 0 a b
0 0 b 0 a c
0 0 b 0 b 0
0 0 b 0 b a
0 0 b 0 b b
0 0 b 0 b c
0 0 b 0 c 0
0 0 b 0 c a
0 0 b 0 c b
0 0 b 0 c c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c
0 0 c 0 a 0
0 0 c 0 a a
0 0 c 0 a b
0 0 c 0 a c
0 0 c 0 b 0
0 0 c 0 b a
0 0 c 0 b b
0 0 c 0 b c
0 0 c 0 c 0
0 0 c 0 c a
0 0 c 0 c b
0 0 c 0 c c

Is it a nice code?: No

Generator Matrix-38

a 0 0 0 0 0
0 a 0 a 0 0
b 0 0 0 0 0
0 b 0 b 0 0
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b 0 b 0 0
0 b c a 0 c
b 0 0 0 0 0
b 0 c c 0 c
b b 0 b 0 0
b b c a 0 c
0 a 0 a 0 0
0 a c b 0 c
0 c 0 c 0 0
0 c c 0 0 c
b a 0 a 0 0
b a c b 0 c
b c 0 c 0 0
b c c 0 0 c
a 0 0 0 0 0
a 0 c c 0 c
a b 0 b 0 0
a b c a 0 c
c 0 0 0 0 0
c 0 c c 0 c
c b 0 b 0 0
c b c a 0 c
a a 0 a 0 0
a a c b 0 c
a c 0 c 0 0
a c c 0 0 c
c a 0 a 0 0
c a c b 0 c
c c 0 c 0 0
c c c 0 0 c

dmin: 1
Weight Enumerator: 1x0 + 3x1 + 3x2 + 11x3 + 8x4 + 6x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)5 (X_b)1 + (X_0)2 (X_b)1 (X_c)3 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_b)1 (X_c)2 + (X_0)2 (X_b)1 (X_c)3 + (X_0)5 (X_a)1 + (X_0)2 (X_a)1 (X_c)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)5 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)1 (X_c)2 + (X_0)2 (X_a)1 (X_c)3 + (X_0)3 (X_a)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 a 0 a 0
0 0 a 0 a a
0 0 a 0 a b
0 0 a 0 a c
0 0 a 0 b 0
0 0 a 0 b a
0 0 a 0 b b
0 0 a 0 b c
0 0 a 0 c 0
0 0 a 0 c a
0 0 a 0 c b
0 0 a 0 c c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 b 0 a 0
0 0 b 0 a a
0 0 b 0 a b
0 0 b 0 a c
0 0 b 0 b 0
0 0 b 0 b a
0 0 b 0 b b
0 0 b 0 b c
0 0 b 0 c 0
0 0 b 0 c a
0 0 b 0 c b
0 0 b 0 c c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c
0 0 c 0 a 0
0 0 c 0 a a
0 0 c 0 a b
0 0 c 0 a c
0 0 c 0 b 0
0 0 c 0 b a
0 0 c 0 b b
0 0 c 0 b c
0 0 c 0 c 0
0 0 c 0 c a
0 0 c 0 c b
0 0 c 0 c c

Is it a nice code?: No

Generator Matrix-39

a 0 0 0 0 0
0 a 0 a 0 0
b 0 0 0 0 0
0 b 0 b 0 0
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b 0 b 0 0
0 b c a c 0
b 0 0 0 0 0
b 0 c c c 0
b b 0 b 0 0
b b c a c 0
0 a 0 a 0 0
0 a c b c 0
0 c 0 c 0 0
0 c c 0 c 0
b a 0 a 0 0
b a c b c 0
b c 0 c 0 0
b c c 0 c 0
a 0 0 0 0 0
a 0 c c c 0
a b 0 b 0 0
a b c a c 0
c 0 0 0 0 0
c 0 c c c 0
c b 0 b 0 0
c b c a c 0
a a 0 a 0 0
a a c b c 0
a c 0 c 0 0
a c c 0 c 0
c a 0 a 0 0
c a c b c 0
c c 0 c 0 0
c c c 0 c 0

dmin: 1
Weight Enumerator: 1x0 + 3x1 + 3x2 + 11x3 + 8x4 + 6x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)5 (X_b)1 + (X_0)2 (X_b)1 (X_c)3 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_b)1 (X_c)2 + (X_0)2 (X_b)1 (X_c)3 + (X_0)5 (X_a)1 + (X_0)2 (X_a)1 (X_c)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)5 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)1 (X_c)2 + (X_0)2 (X_a)1 (X_c)3 + (X_0)3 (X_a)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 a 0 a 0
0 0 a 0 a a
0 0 a 0 a b
0 0 a 0 a c
0 0 a 0 b 0
0 0 a 0 b a
0 0 a 0 b b
0 0 a 0 b c
0 0 a 0 c 0
0 0 a 0 c a
0 0 a 0 c b
0 0 a 0 c c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 b 0 a 0
0 0 b 0 a a
0 0 b 0 a b
0 0 b 0 a c
0 0 b 0 b 0
0 0 b 0 b a
0 0 b 0 b b
0 0 b 0 b c
0 0 b 0 c 0
0 0 b 0 c a
0 0 b 0 c b
0 0 b 0 c c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c
0 0 c 0 a 0
0 0 c 0 a a
0 0 c 0 a b
0 0 c 0 a c
0 0 c 0 b 0
0 0 c 0 b a
0 0 c 0 b b
0 0 c 0 b c
0 0 c 0 c 0
0 0 c 0 c a
0 0 c 0 c b
0 0 c 0 c c

Is it a nice code?: No

Generator Matrix-40

a 0 0 0 0 0
0 a 0 a 0 0
b 0 0 0 0 0
0 b 0 b 0 0
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b 0 b 0 0
0 b c a c c
b 0 0 0 0 0
b 0 c c c c
b b 0 b 0 0
b b c a c c
0 a 0 a 0 0
0 a c b c c
0 c 0 c 0 0
0 c c 0 c c
b a 0 a 0 0
b a c b c c
b c 0 c 0 0
b c c 0 c c
a 0 0 0 0 0
a 0 c c c c
a b 0 b 0 0
a b c a c c
c 0 0 0 0 0
c 0 c c c c
c b 0 b 0 0
c b c a c c
a a 0 a 0 0
a a c b c c
a c 0 c 0 0
a c c 0 c c
c a 0 a 0 0
c a c b c c
c c 0 c 0 0
c c c 0 c c

dmin: 1
Weight Enumerator: 1x0 + 3x1 + 3x2 + 9x3 + 2x4 + 8x5 + 6x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)4 (X_b)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)5 (X_b)1 + (X_0)1 (X_b)1 (X_c)4 + (X_0)3 (X_b)3 + (X_a)1 (X_b)2 (X_c)3 + (X_0)4 (X_a)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_a)2 (X_b)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_b)1 (X_c)2 + (X_0)1 (X_b)1 (X_c)4 + (X_0)5 (X_a)1 + (X_0)1 (X_a)1 (X_c)4 + (X_0)3 (X_a)1 (X_b)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)5 (X_c)1 + (X_0)1 (X_c)5 + (X_0)3 (X_b)2 (X_c)1 + (X_a)1 (X_b)1 (X_c)4 + (X_0)3 (X_a)3 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_a)1 (X_c)2 + (X_0)1 (X_a)1 (X_c)4 + (X_0)3 (X_a)2 (X_c)1 + (X_a)1 (X_b)1 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 a 0 a 0
0 0 a 0 a a
0 0 a 0 a b
0 0 a 0 a c
0 0 a 0 b 0
0 0 a 0 b a
0 0 a 0 b b
0 0 a 0 b c
0 0 a 0 c 0
0 0 a 0 c a
0 0 a 0 c b
0 0 a 0 c c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 b 0 a 0
0 0 b 0 a a
0 0 b 0 a b
0 0 b 0 a c
0 0 b 0 b 0
0 0 b 0 b a
0 0 b 0 b b
0 0 b 0 b c
0 0 b 0 c 0
0 0 b 0 c a
0 0 b 0 c b
0 0 b 0 c c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c
0 0 c 0 a 0
0 0 c 0 a a
0 0 c 0 a b
0 0 c 0 a c
0 0 c 0 b 0
0 0 c 0 b a
0 0 c 0 b b
0 0 c 0 b c
0 0 c 0 c 0
0 0 c 0 c a
0 0 c 0 c b
0 0 c 0 c c

Is it a nice code?: No

Generator Matrix-41

a 0 0 0 0 0
0 a 0 a 0 a
b 0 0 0 0 0
0 b 0 b 0 b
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b 0 b 0 b
0 b c b 0 b
b 0 0 0 0 0
b 0 c 0 0 0
b b 0 b 0 b
b b c b 0 b
0 a 0 a 0 a
0 a c a 0 a
0 c 0 c 0 c
0 c c c 0 c
b a 0 a 0 a
b a c a 0 a
b c 0 c 0 c
b c c c 0 c
a 0 0 0 0 0
a 0 c 0 0 0
a b 0 b 0 b
a b c b 0 b
c 0 0 0 0 0
c 0 c 0 0 0
c b 0 b 0 b
c b c b 0 b
a a 0 a 0 a
a a c a 0 a
a c 0 c 0 c
a c c c 0 c
c a 0 a 0 a
c a c a 0 a
c c 0 c 0 c
c c c c 0 c

dmin: 1
Weight Enumerator: 1x0 + 4x1 + 3x2 + 3x3 + 12x4 + 9x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_b)3 (X_c)1 + (X_0)5 (X_b)1 + (X_0)4 (X_b)1 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_b)4 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)3 (X_c)1 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_b)1 (X_c)3 + (X_0)1 (X_b)1 (X_c)4 + (X_0)5 (X_a)1 + (X_0)4 (X_a)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)2 (X_b)3 (X_c)1 + (X_0)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)4 (X_c)1 + (X_0)2 (X_a)1 (X_c)3 + (X_0)1 (X_a)1 (X_c)4 + (X_0)2 (X_a)3 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 a 0 0 0
0 0 a 0 a 0
0 0 a 0 b 0
0 0 a 0 c 0
0 0 b 0 0 0
0 0 b 0 a 0
0 0 b 0 b 0
0 0 b 0 c 0
0 0 c 0 0 0
0 0 c 0 a 0
0 0 c 0 b 0
0 0 c 0 c 0

Is it a nice code?: No

Generator Matrix-42

a 0 0 0 0 0
0 a 0 a 0 a
b 0 0 0 0 0
0 b 0 b 0 b
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b 0 b 0 b
0 b c b 0 a
b 0 0 0 0 0
b 0 c 0 0 c
b b 0 b 0 b
b b c b 0 a
0 a 0 a 0 a
0 a c a 0 b
0 c 0 c 0 c
0 c c c 0 0
b a 0 a 0 a
b a c a 0 b
b c 0 c 0 c
b c c c 0 0
a 0 0 0 0 0
a 0 c 0 0 c
a b 0 b 0 b
a b c b 0 a
c 0 0 0 0 0
c 0 c 0 0 c
c b 0 b 0 b
c b c b 0 a
a a 0 a 0 a
a a c a 0 b
a c 0 c 0 c
a c c c 0 0
c a 0 a 0 a
c a c a 0 b
c c 0 c 0 c
c c c c 0 0

dmin: 1
Weight Enumerator: 1x0 + 3x1 + 1x2 + 7x3 + 14x4 + 6x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)5 (X_b)1 + (X_0)3 (X_b)1 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_b)1 (X_c)3 + (X_0)2 (X_b)1 (X_c)3 + (X_0)5 (X_a)1 + (X_0)3 (X_a)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_c)3 + (X_0)2 (X_a)1 (X_c)3 + (X_0)2 (X_a)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 a 0 0 0
0 0 a 0 a 0
0 0 a 0 b 0
0 0 a 0 c 0
0 0 b 0 0 0
0 0 b 0 a 0
0 0 b 0 b 0
0 0 b 0 c 0
0 0 c 0 0 0
0 0 c 0 a 0
0 0 c 0 b 0
0 0 c 0 c 0

Is it a nice code?: No

Generator Matrix-43

a 0 0 0 0 0
0 a 0 a 0 a
b 0 0 0 0 0
0 b 0 b 0 b
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b 0 b 0 b
0 b c b c b
b 0 0 0 0 0
b 0 c 0 c 0
b b 0 b 0 b
b b c b c b
0 a 0 a 0 a
0 a c a c a
0 c 0 c 0 c
0 c c c c c
b a 0 a 0 a
b a c a c a
b c 0 c 0 c
b c c c c c
a 0 0 0 0 0
a 0 c 0 c 0
a b 0 b 0 b
a b c b c b
c 0 0 0 0 0
c 0 c 0 c 0
c b 0 b 0 b
c b c b c b
a a 0 a 0 a
a a c a c a
a c 0 c 0 c
a c c c c c
c a 0 a 0 a
c a c a c a
c c 0 c 0 c
c c c c c c

dmin: 1
Weight Enumerator: 1x0 + 3x1 + 1x2 + 6x3 + 9x4 + 3x5 + 9x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)5 (X_b)1 + (X_0)3 (X_b)1 (X_c)2 + (X_0)2 (X_b)4 + (X_b)4 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)2 (X_a)3 (X_b)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_b)1 (X_c)3 + (X_b)1 (X_c)5 + (X_0)5 (X_a)1 + (X_0)3 (X_a)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)3 + (X_a)1 (X_b)3 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)2 (X_b)3 (X_c)1 + (X_b)3 (X_c)3 + (X_0)2 (X_a)4 + (X_a)4 (X_c)2 + (X_0)2 (X_a)1 (X_c)3 + (X_a)1 (X_c)5 + (X_0)2 (X_a)3 (X_c)1 + (X_a)3 (X_c)3 + (X_0)2 (X_c)4 + (X_c)6

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 a 0 0 0
0 0 a 0 a 0
0 0 a 0 b 0
0 0 a 0 c 0
0 0 b 0 0 0
0 0 b 0 a 0
0 0 b 0 b 0
0 0 b 0 c 0
0 0 c 0 0 0
0 0 c 0 a 0
0 0 c 0 b 0
0 0 c 0 c 0

Is it a nice code?: No

Generator Matrix-44

a 0 0 0 0 0
0 a 0 a 0 a
b 0 0 0 0 0
0 b 0 b 0 b
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b 0 b 0 b
0 b c b c a
b 0 0 0 0 0
b 0 c 0 c c
b b 0 b 0 b
b b c b c a
0 a 0 a 0 a
0 a c a c b
0 c 0 c 0 c
0 c c c c 0
b a 0 a 0 a
b a c a c b
b c 0 c 0 c
b c c c c 0
a 0 0 0 0 0
a 0 c 0 c c
a b 0 b 0 b
a b c b c a
c 0 0 0 0 0
c 0 c 0 c c
c b 0 b 0 b
c b c b c a
a a 0 a 0 a
a a c a c b
a c 0 c 0 c
a c c c c 0
c a 0 a 0 a
c a c a c b
c c 0 c 0 c
c c c c c 0

dmin: 1
Weight Enumerator: 1x0 + 3x1 + 0x2 + 4x3 + 13x4 + 5x5 + 6x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)5 (X_b)1 + (X_0)2 (X_b)1 (X_c)3 + (X_0)2 (X_b)4 + (X_a)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_a)3 (X_b)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_b)1 (X_c)3 + (X_0)1 (X_b)1 (X_c)4 + (X_0)5 (X_a)1 + (X_0)2 (X_a)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)3 + (X_a)2 (X_b)2 (X_c)2 + (X_0)5 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_b)3 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)4 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_c)3 + (X_0)1 (X_a)1 (X_c)4 + (X_0)2 (X_a)3 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 a 0 0 0
0 0 a 0 a 0
0 0 a 0 b 0
0 0 a 0 c 0
0 0 b 0 0 0
0 0 b 0 a 0
0 0 b 0 b 0
0 0 b 0 c 0
0 0 c 0 0 0
0 0 c 0 a 0
0 0 c 0 b 0
0 0 c 0 c 0

Is it a nice code?: No

Generator Matrix-45

a 0 0 0 0 0
0 a 0 a 0 a
b 0 0 0 0 0
0 b 0 b 0 b
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b 0 b 0 b
0 b c a 0 b
b 0 0 0 0 0
b 0 c c 0 0
b b 0 b 0 b
b b c a 0 b
0 a 0 a 0 a
0 a c b 0 a
0 c 0 c 0 c
0 c c 0 0 c
b a 0 a 0 a
b a c b 0 a
b c 0 c 0 c
b c c 0 0 c
a 0 0 0 0 0
a 0 c c 0 0
a b 0 b 0 b
a b c a 0 b
c 0 0 0 0 0
c 0 c c 0 0
c b 0 b 0 b
c b c a 0 b
a a 0 a 0 a
a a c b 0 a
a c 0 c 0 c
a c c 0 0 c
c a 0 a 0 a
c a c b 0 a
c c 0 c 0 c
c c c 0 0 c

dmin: 1
Weight Enumerator: 1x0 + 3x1 + 1x2 + 7x3 + 14x4 + 6x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)5 (X_b)1 + (X_0)3 (X_b)1 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_b)1 (X_c)3 + (X_0)2 (X_b)1 (X_c)3 + (X_0)5 (X_a)1 + (X_0)3 (X_a)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_c)3 + (X_0)2 (X_a)1 (X_c)3 + (X_0)2 (X_a)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 a 0 0 0
0 0 a 0 a 0
0 0 a 0 b 0
0 0 a 0 c 0
0 0 b 0 0 0
0 0 b 0 a 0
0 0 b 0 b 0
0 0 b 0 c 0
0 0 c 0 0 0
0 0 c 0 a 0
0 0 c 0 b 0
0 0 c 0 c 0

Is it a nice code?: No

Generator Matrix-46

a 0 0 0 0 0
0 a 0 a 0 a
b 0 0 0 0 0
0 b 0 b 0 b
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b 0 b 0 b
0 b c a 0 a
b 0 0 0 0 0
b 0 c c 0 c
b b 0 b 0 b
b b c a 0 a
0 a 0 a 0 a
0 a c b 0 b
0 c 0 c 0 c
0 c c 0 0 0
b a 0 a 0 a
b a c b 0 b
b c 0 c 0 c
b c c 0 0 0
a 0 0 0 0 0
a 0 c c 0 c
a b 0 b 0 b
a b c a 0 a
c 0 0 0 0 0
c 0 c c 0 c
c b 0 b 0 b
c b c a 0 a
a a 0 a 0 a
a a c b 0 b
a c 0 c 0 c
a c c 0 0 0
c a 0 a 0 a
c a c b 0 b
c c 0 c 0 c
c c c 0 0 0

dmin: 1
Weight Enumerator: 1x0 + 3x1 + 1x2 + 7x3 + 14x4 + 6x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)5 (X_b)1 + (X_0)2 (X_b)1 (X_c)3 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_b)1 (X_c)3 + (X_0)3 (X_b)1 (X_c)2 + (X_0)5 (X_a)1 + (X_0)2 (X_a)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)5 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_c)3 + (X_0)3 (X_a)1 (X_c)2 + (X_0)2 (X_a)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 a 0 0 0
0 0 a 0 a 0
0 0 a 0 b 0
0 0 a 0 c 0
0 0 b 0 0 0
0 0 b 0 a 0
0 0 b 0 b 0
0 0 b 0 c 0
0 0 c 0 0 0
0 0 c 0 a 0
0 0 c 0 b 0
0 0 c 0 c 0

Is it a nice code?: No

Generator Matrix-47

a 0 0 0 0 0
0 a 0 a 0 a
b 0 0 0 0 0
0 b 0 b 0 b
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b 0 b 0 b
0 b c a c b
b 0 0 0 0 0
b 0 c c c 0
b b 0 b 0 b
b b c a c b
0 a 0 a 0 a
0 a c b c a
0 c 0 c 0 c
0 c c 0 c c
b a 0 a 0 a
b a c b c a
b c 0 c 0 c
b c c 0 c c
a 0 0 0 0 0
a 0 c c c 0
a b 0 b 0 b
a b c a c b
c 0 0 0 0 0
c 0 c c c 0
c b 0 b 0 b
c b c a c b
a a 0 a 0 a
a a c b c a
a c 0 c 0 c
a c c 0 c c
c a 0 a 0 a
c a c b c a
c c 0 c 0 c
c c c 0 c c

dmin: 1
Weight Enumerator: 1x0 + 3x1 + 0x2 + 4x3 + 13x4 + 5x5 + 6x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)5 (X_b)1 + (X_0)2 (X_b)1 (X_c)3 + (X_0)2 (X_b)4 + (X_a)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_a)3 (X_b)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_b)1 (X_c)3 + (X_0)1 (X_b)1 (X_c)4 + (X_0)5 (X_a)1 + (X_0)2 (X_a)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)3 + (X_a)2 (X_b)2 (X_c)2 + (X_0)5 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_b)3 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)4 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_c)3 + (X_0)1 (X_a)1 (X_c)4 + (X_0)2 (X_a)3 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 a 0 0 0
0 0 a 0 a 0
0 0 a 0 b 0
0 0 a 0 c 0
0 0 b 0 0 0
0 0 b 0 a 0
0 0 b 0 b 0
0 0 b 0 c 0
0 0 c 0 0 0
0 0 c 0 a 0
0 0 c 0 b 0
0 0 c 0 c 0

Is it a nice code?: No

Generator Matrix-48

a 0 0 0 0 0
0 a 0 a 0 a
b 0 0 0 0 0
0 b 0 b 0 b
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b 0 b 0 b
0 b c a c a
b 0 0 0 0 0
b 0 c c c c
b b 0 b 0 b
b b c a c a
0 a 0 a 0 a
0 a c b c b
0 c 0 c 0 c
0 c c 0 c 0
b a 0 a 0 a
b a c b c b
b c 0 c 0 c
b c c 0 c 0
a 0 0 0 0 0
a 0 c c c c
a b 0 b 0 b
a b c a c a
c 0 0 0 0 0
c 0 c c c c
c b 0 b 0 b
c b c a c a
a a 0 a 0 a
a a c b c b
a c 0 c 0 c
a c c 0 c 0
c a 0 a 0 a
c a c b c b
c c 0 c 0 c
c c c 0 c 0

dmin: 1
Weight Enumerator: 1x0 + 3x1 + 0x2 + 4x3 + 13x4 + 5x5 + 6x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)3 (X_b)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)5 (X_b)1 + (X_0)1 (X_b)1 (X_c)4 + (X_0)2 (X_b)4 + (X_a)2 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_a)3 (X_b)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_b)1 (X_c)3 + (X_0)2 (X_b)1 (X_c)3 + (X_0)5 (X_a)1 + (X_0)1 (X_a)1 (X_c)4 + (X_0)2 (X_a)1 (X_b)3 + (X_a)3 (X_b)1 (X_c)2 + (X_0)5 (X_c)1 + (X_0)1 (X_c)5 + (X_0)2 (X_b)3 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)4 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_c)3 + (X_0)2 (X_a)1 (X_c)3 + (X_0)2 (X_a)3 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 a 0 0 0
0 0 a 0 a 0
0 0 a 0 b 0
0 0 a 0 c 0
0 0 b 0 0 0
0 0 b 0 a 0
0 0 b 0 b 0
0 0 b 0 c 0
0 0 c 0 0 0
0 0 c 0 a 0
0 0 c 0 b 0
0 0 c 0 c 0

Is it a nice code?: No

Generator Matrix-49

a 0 0 0 0 0
0 a 0 a a 0
b 0 0 0 0 0
0 b 0 b b 0
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b 0 b b 0
0 b c b b 0
b 0 0 0 0 0
b 0 c 0 0 0
b b 0 b b 0
b b c b b 0
0 a 0 a a 0
0 a c a a 0
0 c 0 c c 0
0 c c c c 0
b a 0 a a 0
b a c a a 0
b c 0 c c 0
b c c c c 0
a 0 0 0 0 0
a 0 c 0 0 0
a b 0 b b 0
a b c b b 0
c 0 0 0 0 0
c 0 c 0 0 0
c b 0 b b 0
c b c b b 0
a a 0 a a 0
a a c a a 0
a c 0 c c 0
a c c c c 0
c a 0 a a 0
c a c a a 0
c c 0 c c 0
c c c c c 0

dmin: 1
Weight Enumerator: 1x0 + 4x1 + 3x2 + 3x3 + 12x4 + 9x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_b)3 (X_c)1 + (X_0)5 (X_b)1 + (X_0)4 (X_b)1 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_b)4 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)3 (X_c)1 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_b)1 (X_c)3 + (X_0)1 (X_b)1 (X_c)4 + (X_0)5 (X_a)1 + (X_0)4 (X_a)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)2 (X_b)3 (X_c)1 + (X_0)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)4 (X_c)1 + (X_0)2 (X_a)1 (X_c)3 + (X_0)1 (X_a)1 (X_c)4 + (X_0)2 (X_a)3 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c

Is it a nice code?: No

Generator Matrix-50

a 0 0 0 0 0
0 a 0 a a 0
b 0 0 0 0 0
0 b 0 b b 0
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b 0 b b 0
0 b c b b c
b 0 0 0 0 0
b 0 c 0 0 c
b b 0 b b 0
b b c b b c
0 a 0 a a 0
0 a c a a c
0 c 0 c c 0
0 c c c c c
b a 0 a a 0
b a c a a c
b c 0 c c 0
b c c c c c
a 0 0 0 0 0
a 0 c 0 0 c
a b 0 b b 0
a b c b b c
c 0 0 0 0 0
c 0 c 0 0 c
c b 0 b b 0
c b c b b c
a a 0 a a 0
a a c a a c
a c 0 c c 0
a c c c c c
c a 0 a a 0
c a c a a c
c c 0 c c 0
c c c c c c

dmin: 1
Weight Enumerator: 1x0 + 3x1 + 1x2 + 6x3 + 9x4 + 3x5 + 9x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)5 (X_b)1 + (X_0)3 (X_b)1 (X_c)2 + (X_0)2 (X_b)4 + (X_b)4 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)2 (X_a)3 (X_b)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_b)1 (X_c)3 + (X_b)1 (X_c)5 + (X_0)5 (X_a)1 + (X_0)3 (X_a)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)3 + (X_a)1 (X_b)3 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)2 (X_b)3 (X_c)1 + (X_b)3 (X_c)3 + (X_0)2 (X_a)4 + (X_a)4 (X_c)2 + (X_0)2 (X_a)1 (X_c)3 + (X_a)1 (X_c)5 + (X_0)2 (X_a)3 (X_c)1 + (X_a)3 (X_c)3 + (X_0)2 (X_c)4 + (X_c)6

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c

Is it a nice code?: No

Generator Matrix-51

a 0 0 0 0 0
0 a 0 a a 0
b 0 0 0 0 0
0 b 0 b b 0
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b 0 b b 0
0 b c b a 0
b 0 0 0 0 0
b 0 c 0 c 0
b b 0 b b 0
b b c b a 0
0 a 0 a a 0
0 a c a b 0
0 c 0 c c 0
0 c c c 0 0
b a 0 a a 0
b a c a b 0
b c 0 c c 0
b c c c 0 0
a 0 0 0 0 0
a 0 c 0 c 0
a b 0 b b 0
a b c b a 0
c 0 0 0 0 0
c 0 c 0 c 0
c b 0 b b 0
c b c b a 0
a a 0 a a 0
a a c a b 0
a c 0 c c 0
a c c c 0 0
c a 0 a a 0
c a c a b 0
c c 0 c c 0
c c c c 0 0

dmin: 1
Weight Enumerator: 1x0 + 3x1 + 1x2 + 7x3 + 14x4 + 6x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)5 (X_b)1 + (X_0)3 (X_b)1 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_b)1 (X_c)3 + (X_0)2 (X_b)1 (X_c)3 + (X_0)5 (X_a)1 + (X_0)3 (X_a)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_c)3 + (X_0)2 (X_a)1 (X_c)3 + (X_0)2 (X_a)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c

Is it a nice code?: No

Generator Matrix-52

a 0 0 0 0 0
0 a 0 a a 0
b 0 0 0 0 0
0 b 0 b b 0
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b 0 b b 0
0 b c b a c
b 0 0 0 0 0
b 0 c 0 c c
b b 0 b b 0
b b c b a c
0 a 0 a a 0
0 a c a b c
0 c 0 c c 0
0 c c c 0 c
b a 0 a a 0
b a c a b c
b c 0 c c 0
b c c c 0 c
a 0 0 0 0 0
a 0 c 0 c c
a b 0 b b 0
a b c b a c
c 0 0 0 0 0
c 0 c 0 c c
c b 0 b b 0
c b c b a c
a a 0 a a 0
a a c a b c
a c 0 c c 0
a c c c 0 c
c a 0 a a 0
c a c a b c
c c 0 c c 0
c c c c 0 c

dmin: 1
Weight Enumerator: 1x0 + 3x1 + 0x2 + 4x3 + 13x4 + 5x5 + 6x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)5 (X_b)1 + (X_0)2 (X_b)1 (X_c)3 + (X_0)2 (X_b)4 + (X_a)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_a)3 (X_b)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_b)1 (X_c)3 + (X_0)1 (X_b)1 (X_c)4 + (X_0)5 (X_a)1 + (X_0)2 (X_a)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)3 + (X_a)2 (X_b)2 (X_c)2 + (X_0)5 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_b)3 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)4 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_c)3 + (X_0)1 (X_a)1 (X_c)4 + (X_0)2 (X_a)3 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c

Is it a nice code?: No

Generator Matrix-53

a 0 0 0 0 0
0 a 0 a a 0
b 0 0 0 0 0
0 b 0 b b 0
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b 0 b b 0
0 b c a b 0
b 0 0 0 0 0
b 0 c c 0 0
b b 0 b b 0
b b c a b 0
0 a 0 a a 0
0 a c b a 0
0 c 0 c c 0
0 c c 0 c 0
b a 0 a a 0
b a c b a 0
b c 0 c c 0
b c c 0 c 0
a 0 0 0 0 0
a 0 c c 0 0
a b 0 b b 0
a b c a b 0
c 0 0 0 0 0
c 0 c c 0 0
c b 0 b b 0
c b c a b 0
a a 0 a a 0
a a c b a 0
a c 0 c c 0
a c c 0 c 0
c a 0 a a 0
c a c b a 0
c c 0 c c 0
c c c 0 c 0

dmin: 1
Weight Enumerator: 1x0 + 3x1 + 1x2 + 7x3 + 14x4 + 6x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)5 (X_b)1 + (X_0)3 (X_b)1 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_b)1 (X_c)3 + (X_0)2 (X_b)1 (X_c)3 + (X_0)5 (X_a)1 + (X_0)3 (X_a)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_c)3 + (X_0)2 (X_a)1 (X_c)3 + (X_0)2 (X_a)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c

Is it a nice code?: No

Generator Matrix-54

a 0 0 0 0 0
0 a 0 a a 0
b 0 0 0 0 0
0 b 0 b b 0
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b 0 b b 0
0 b c a b c
b 0 0 0 0 0
b 0 c c 0 c
b b 0 b b 0
b b c a b c
0 a 0 a a 0
0 a c b a c
0 c 0 c c 0
0 c c 0 c c
b a 0 a a 0
b a c b a c
b c 0 c c 0
b c c 0 c c
a 0 0 0 0 0
a 0 c c 0 c
a b 0 b b 0
a b c a b c
c 0 0 0 0 0
c 0 c c 0 c
c b 0 b b 0
c b c a b c
a a 0 a a 0
a a c b a c
a c 0 c c 0
a c c 0 c c
c a 0 a a 0
c a c b a c
c c 0 c c 0
c c c 0 c c

dmin: 1
Weight Enumerator: 1x0 + 3x1 + 0x2 + 4x3 + 13x4 + 5x5 + 6x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)5 (X_b)1 + (X_0)2 (X_b)1 (X_c)3 + (X_0)2 (X_b)4 + (X_a)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_a)3 (X_b)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_b)1 (X_c)3 + (X_0)1 (X_b)1 (X_c)4 + (X_0)5 (X_a)1 + (X_0)2 (X_a)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)3 + (X_a)2 (X_b)2 (X_c)2 + (X_0)5 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_b)3 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)4 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_c)3 + (X_0)1 (X_a)1 (X_c)4 + (X_0)2 (X_a)3 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c

Is it a nice code?: No

Generator Matrix-55

a 0 0 0 0 0
0 a 0 a a 0
b 0 0 0 0 0
0 b 0 b b 0
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b 0 b b 0
0 b c a a 0
b 0 0 0 0 0
b 0 c c c 0
b b 0 b b 0
b b c a a 0
0 a 0 a a 0
0 a c b b 0
0 c 0 c c 0
0 c c 0 0 0
b a 0 a a 0
b a c b b 0
b c 0 c c 0
b c c 0 0 0
a 0 0 0 0 0
a 0 c c c 0
a b 0 b b 0
a b c a a 0
c 0 0 0 0 0
c 0 c c c 0
c b 0 b b 0
c b c a a 0
a a 0 a a 0
a a c b b 0
a c 0 c c 0
a c c 0 0 0
c a 0 a a 0
c a c b b 0
c c 0 c c 0
c c c 0 0 0

dmin: 1
Weight Enumerator: 1x0 + 3x1 + 1x2 + 7x3 + 14x4 + 6x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)5 (X_b)1 + (X_0)2 (X_b)1 (X_c)3 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_b)1 (X_c)3 + (X_0)3 (X_b)1 (X_c)2 + (X_0)5 (X_a)1 + (X_0)2 (X_a)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)5 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_c)3 + (X_0)3 (X_a)1 (X_c)2 + (X_0)2 (X_a)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c

Is it a nice code?: No

Generator Matrix-56

a 0 0 0 0 0
0 a 0 a a 0
b 0 0 0 0 0
0 b 0 b b 0
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b 0 b b 0
0 b c a a c
b 0 0 0 0 0
b 0 c c c c
b b 0 b b 0
b b c a a c
0 a 0 a a 0
0 a c b b c
0 c 0 c c 0
0 c c 0 0 c
b a 0 a a 0
b a c b b c
b c 0 c c 0
b c c 0 0 c
a 0 0 0 0 0
a 0 c c c c
a b 0 b b 0
a b c a a c
c 0 0 0 0 0
c 0 c c c c
c b 0 b b 0
c b c a a c
a a 0 a a 0
a a c b b c
a c 0 c c 0
a c c 0 0 c
c a 0 a a 0
c a c b b c
c c 0 c c 0
c c c 0 0 c

dmin: 1
Weight Enumerator: 1x0 + 3x1 + 0x2 + 4x3 + 13x4 + 5x5 + 6x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)3 (X_b)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)5 (X_b)1 + (X_0)1 (X_b)1 (X_c)4 + (X_0)2 (X_b)4 + (X_a)2 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_a)3 (X_b)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_b)1 (X_c)3 + (X_0)2 (X_b)1 (X_c)3 + (X_0)5 (X_a)1 + (X_0)1 (X_a)1 (X_c)4 + (X_0)2 (X_a)1 (X_b)3 + (X_a)3 (X_b)1 (X_c)2 + (X_0)5 (X_c)1 + (X_0)1 (X_c)5 + (X_0)2 (X_b)3 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)4 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_c)3 + (X_0)2 (X_a)1 (X_c)3 + (X_0)2 (X_a)3 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c

Is it a nice code?: No

Generator Matrix-57

a 0 0 0 0 0
0 a 0 a a a
b 0 0 0 0 0
0 b 0 b b b
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b 0 b b b
0 b c b b b
b 0 0 0 0 0
b 0 c 0 0 0
b b 0 b b b
b b c b b b
0 a 0 a a a
0 a c a a a
0 c 0 c c c
0 c c c c c
b a 0 a a a
b a c a a a
b c 0 c c c
b c c c c c
a 0 0 0 0 0
a 0 c 0 0 0
a b 0 b b b
a b c b b b
c 0 0 0 0 0
c 0 c 0 0 0
c b 0 b b b
c b c b b b
a a 0 a a a
a a c a a a
a c 0 c c c
a c c c c c
c a 0 a a a
c a c a a a
c c 0 c c c
c c c c c c

dmin: 1
Weight Enumerator: 1x0 + 4x1 + 3x2 + 0x3 + 3x4 + 12x5 + 9x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_b)4 (X_c)1 + (X_0)5 (X_b)1 + (X_0)4 (X_b)1 (X_c)1 + (X_0)1 (X_b)5 + (X_b)5 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)4 (X_c)1 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)1 (X_a)4 (X_b)1 + (X_a)4 (X_b)1 (X_c)1 + (X_0)1 (X_b)1 (X_c)4 + (X_b)1 (X_c)5 + (X_0)5 (X_a)1 + (X_0)4 (X_a)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)4 + (X_a)1 (X_b)4 (X_c)1 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)1 (X_b)4 (X_c)1 + (X_b)4 (X_c)2 + (X_0)1 (X_a)5 + (X_a)5 (X_c)1 + (X_0)1 (X_a)1 (X_c)4 + (X_a)1 (X_c)5 + (X_0)1 (X_a)4 (X_c)1 + (X_a)4 (X_c)2 + (X_0)1 (X_c)5 + (X_c)6

Dual Codewords:

0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0

Is it a nice code?: No

Generator Matrix-58

a 0 0 0 0 0
0 a 0 a a a
b 0 0 0 0 0
0 b 0 b b b
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b 0 b b b
0 b c b b a
b 0 0 0 0 0
b 0 c 0 0 c
b b 0 b b b
b b c b b a
0 a 0 a a a
0 a c a a b
0 c 0 c c c
0 c c c c 0
b a 0 a a a
b a c a a b
b c 0 c c c
b c c c c 0
a 0 0 0 0 0
a 0 c 0 0 c
a b 0 b b b
a b c b b a
c 0 0 0 0 0
c 0 c 0 0 c
c b 0 b b b
c b c b b a
a a 0 a a a
a a c a a b
a c 0 c c c
a c c c c 0
c a 0 a a a
c a c a a b
c c 0 c c c
c c c c c 0

dmin: 1
Weight Enumerator: 1x0 + 3x1 + 1x2 + 3x3 + 4x4 + 14x5 + 6x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)5 (X_b)1 + (X_0)3 (X_b)1 (X_c)2 + (X_0)1 (X_b)5 + (X_a)1 (X_b)4 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_a)4 (X_b)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_b)1 (X_c)4 + (X_0)1 (X_b)1 (X_c)4 + (X_0)5 (X_a)1 + (X_0)3 (X_a)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)4 + (X_a)2 (X_b)3 (X_c)1 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)1 (X_b)4 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)5 + (X_a)4 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_c)4 + (X_0)1 (X_a)1 (X_c)4 + (X_0)1 (X_a)4 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0

Is it a nice code?: No

Generator Matrix-59

a 0 0 0 0 0
0 a 0 a a a
b 0 0 0 0 0
0 b 0 b b b
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b 0 b b b
0 b c b a b
b 0 0 0 0 0
b 0 c 0 c 0
b b 0 b b b
b b c b a b
0 a 0 a a a
0 a c a b a
0 c 0 c c c
0 c c c 0 c
b a 0 a a a
b a c a b a
b c 0 c c c
b c c c 0 c
a 0 0 0 0 0
a 0 c 0 c 0
a b 0 b b b
a b c b a b
c 0 0 0 0 0
c 0 c 0 c 0
c b 0 b b b
c b c b a b
a a 0 a a a
a a c a b a
a c 0 c c c
a c c c 0 c
c a 0 a a a
c a c a b a
c c 0 c c c
c c c c 0 c

dmin: 1
Weight Enumerator: 1x0 + 3x1 + 1x2 + 3x3 + 4x4 + 14x5 + 6x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)5 (X_b)1 + (X_0)3 (X_b)1 (X_c)2 + (X_0)1 (X_b)5 + (X_a)1 (X_b)4 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_a)4 (X_b)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_b)1 (X_c)4 + (X_0)1 (X_b)1 (X_c)4 + (X_0)5 (X_a)1 + (X_0)3 (X_a)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)4 + (X_a)2 (X_b)3 (X_c)1 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)1 (X_b)4 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)5 + (X_a)4 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_c)4 + (X_0)1 (X_a)1 (X_c)4 + (X_0)1 (X_a)4 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0

Is it a nice code?: No

Generator Matrix-60

a 0 0 0 0 0
0 a 0 a a a
b 0 0 0 0 0
0 b 0 b b b
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b 0 b b b
0 b c b a a
b 0 0 0 0 0
b 0 c 0 c c
b b 0 b b b
b b c b a a
0 a 0 a a a
0 a c a b b
0 c 0 c c c
0 c c c 0 0
b a 0 a a a
b a c a b b
b c 0 c c c
b c c c 0 0
a 0 0 0 0 0
a 0 c 0 c c
a b 0 b b b
a b c b a a
c 0 0 0 0 0
c 0 c 0 c c
c b 0 b b b
c b c b a a
a a 0 a a a
a a c a b b
a c 0 c c c
a c c c 0 0
c a 0 a a a
c a c a b b
c c 0 c c c
c c c c 0 0

dmin: 1
Weight Enumerator: 1x0 + 3x1 + 0x2 + 2x3 + 9x4 + 11x5 + 6x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)5 (X_b)1 + (X_0)2 (X_b)1 (X_c)3 + (X_0)1 (X_b)5 + (X_a)2 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_a)4 (X_b)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_b)1 (X_c)4 + (X_0)2 (X_b)1 (X_c)3 + (X_0)5 (X_a)1 + (X_0)2 (X_a)1 (X_c)3 + (X_0)1 (X_a)1 (X_b)4 + (X_a)3 (X_b)2 (X_c)1 + (X_0)5 (X_c)1 + (X_0)2 (X_c)4 + (X_0)1 (X_b)4 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)5 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_c)4 + (X_0)2 (X_a)1 (X_c)3 + (X_0)1 (X_a)4 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0

Is it a nice code?: No

Generator Matrix-61

a 0 0 0 0 0
0 a 0 a a a
b 0 0 0 0 0
0 b 0 b b b
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b 0 b b b
0 b c a b b
b 0 0 0 0 0
b 0 c c 0 0
b b 0 b b b
b b c a b b
0 a 0 a a a
0 a c b a a
0 c 0 c c c
0 c c 0 c c
b a 0 a a a
b a c b a a
b c 0 c c c
b c c 0 c c
a 0 0 0 0 0
a 0 c c 0 0
a b 0 b b b
a b c a b b
c 0 0 0 0 0
c 0 c c 0 0
c b 0 b b b
c b c a b b
a a 0 a a a
a a c b a a
a c 0 c c c
a c c 0 c c
c a 0 a a a
c a c b a a
c c 0 c c c
c c c 0 c c

dmin: 1
Weight Enumerator: 1x0 + 3x1 + 1x2 + 3x3 + 4x4 + 14x5 + 6x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)5 (X_b)1 + (X_0)3 (X_b)1 (X_c)2 + (X_0)1 (X_b)5 + (X_a)1 (X_b)4 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_a)4 (X_b)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_b)1 (X_c)4 + (X_0)1 (X_b)1 (X_c)4 + (X_0)5 (X_a)1 + (X_0)3 (X_a)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)4 + (X_a)2 (X_b)3 (X_c)1 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)1 (X_b)4 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)5 + (X_a)4 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_c)4 + (X_0)1 (X_a)1 (X_c)4 + (X_0)1 (X_a)4 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0

Is it a nice code?: No

Generator Matrix-62

a 0 0 0 0 0
0 a 0 a a a
b 0 0 0 0 0
0 b 0 b b b
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b 0 b b b
0 b c a b a
b 0 0 0 0 0
b 0 c c 0 c
b b 0 b b b
b b c a b a
0 a 0 a a a
0 a c b a b
0 c 0 c c c
0 c c 0 c 0
b a 0 a a a
b a c b a b
b c 0 c c c
b c c 0 c 0
a 0 0 0 0 0
a 0 c c 0 c
a b 0 b b b
a b c a b a
c 0 0 0 0 0
c 0 c c 0 c
c b 0 b b b
c b c a b a
a a 0 a a a
a a c b a b
a c 0 c c c
a c c 0 c 0
c a 0 a a a
c a c b a b
c c 0 c c c
c c c 0 c 0

dmin: 1
Weight Enumerator: 1x0 + 3x1 + 0x2 + 2x3 + 9x4 + 11x5 + 6x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)5 (X_b)1 + (X_0)2 (X_b)1 (X_c)3 + (X_0)1 (X_b)5 + (X_a)2 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_a)4 (X_b)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_b)1 (X_c)4 + (X_0)2 (X_b)1 (X_c)3 + (X_0)5 (X_a)1 + (X_0)2 (X_a)1 (X_c)3 + (X_0)1 (X_a)1 (X_b)4 + (X_a)3 (X_b)2 (X_c)1 + (X_0)5 (X_c)1 + (X_0)2 (X_c)4 + (X_0)1 (X_b)4 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)5 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_c)4 + (X_0)2 (X_a)1 (X_c)3 + (X_0)1 (X_a)4 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0

Is it a nice code?: No

Generator Matrix-63

a 0 0 0 0 0
0 a 0 a a a
b 0 0 0 0 0
0 b 0 b b b
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b 0 b b b
0 b c a a b
b 0 0 0 0 0
b 0 c c c 0
b b 0 b b b
b b c a a b
0 a 0 a a a
0 a c b b a
0 c 0 c c c
0 c c 0 0 c
b a 0 a a a
b a c b b a
b c 0 c c c
b c c 0 0 c
a 0 0 0 0 0
a 0 c c c 0
a b 0 b b b
a b c a a b
c 0 0 0 0 0
c 0 c c c 0
c b 0 b b b
c b c a a b
a a 0 a a a
a a c b b a
a c 0 c c c
a c c 0 0 c
c a 0 a a a
c a c b b a
c c 0 c c c
c c c 0 0 c

dmin: 1
Weight Enumerator: 1x0 + 3x1 + 0x2 + 2x3 + 9x4 + 11x5 + 6x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)5 (X_b)1 + (X_0)2 (X_b)1 (X_c)3 + (X_0)1 (X_b)5 + (X_a)2 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_a)4 (X_b)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_b)1 (X_c)4 + (X_0)2 (X_b)1 (X_c)3 + (X_0)5 (X_a)1 + (X_0)2 (X_a)1 (X_c)3 + (X_0)1 (X_a)1 (X_b)4 + (X_a)3 (X_b)2 (X_c)1 + (X_0)5 (X_c)1 + (X_0)2 (X_c)4 + (X_0)1 (X_b)4 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)5 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_c)4 + (X_0)2 (X_a)1 (X_c)3 + (X_0)1 (X_a)4 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0

Is it a nice code?: No

Generator Matrix-64

a 0 0 0 0 0
0 a 0 a a a
b 0 0 0 0 0
0 b 0 b b b
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b 0 b b b
0 b c a a a
b 0 0 0 0 0
b 0 c c c c
b b 0 b b b
b b c a a a
0 a 0 a a a
0 a c b b b
0 c 0 c c c
0 c c 0 0 0
b a 0 a a a
b a c b b b
b c 0 c c c
b c c 0 0 0
a 0 0 0 0 0
a 0 c c c c
a b 0 b b b
a b c a a a
c 0 0 0 0 0
c 0 c c c c
c b 0 b b b
c b c a a a
a a 0 a a a
a a c b b b
a c 0 c c c
a c c 0 0 0
c a 0 a a a
c a c b b b
c c 0 c c c
c c c 0 0 0

dmin: 1
Weight Enumerator: 1x0 + 3x1 + 1x2 + 3x3 + 4x4 + 14x5 + 6x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)2 (X_b)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)5 (X_b)1 + (X_0)1 (X_b)1 (X_c)4 + (X_0)1 (X_b)5 + (X_a)3 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)1 (X_a)4 (X_b)1 + (X_a)1 (X_b)4 (X_c)1 + (X_0)1 (X_b)1 (X_c)4 + (X_0)3 (X_b)1 (X_c)2 + (X_0)5 (X_a)1 + (X_0)1 (X_a)1 (X_c)4 + (X_0)1 (X_a)1 (X_b)4 + (X_a)4 (X_b)1 (X_c)1 + (X_0)5 (X_c)1 + (X_0)1 (X_c)5 + (X_0)1 (X_b)4 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)5 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_c)4 + (X_0)3 (X_a)1 (X_c)2 + (X_0)1 (X_a)4 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0

Is it a nice code?: No

Generator Matrix-65

a 0 0 0 0 a
0 a 0 0 0 0
b 0 0 0 0 b
0 b 0 0 0 0
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b 0 0 0 0
0 b c 0 0 0
b 0 0 0 0 b
b 0 c 0 0 b
b b 0 0 0 b
b b c 0 0 b
0 a 0 0 0 0
0 a c 0 0 0
0 c 0 0 0 0
0 c c 0 0 0
b a 0 0 0 b
b a c 0 0 b
b c 0 0 0 b
b c c 0 0 b
a 0 0 0 0 a
a 0 c 0 0 a
a b 0 0 0 a
a b c 0 0 a
c 0 0 0 0 c
c 0 c 0 0 c
c b 0 0 0 c
c b c 0 0 c
a a 0 0 0 a
a a c 0 0 a
a c 0 0 0 a
a c c 0 0 a
c a 0 0 0 c
c a c 0 0 c
c c 0 0 0 c
c c c 0 0 c

dmin: 1
Weight Enumerator: 1x0 + 4x1 + 6x2 + 12x3 + 9x4 + 0x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)5 (X_b)1 + (X_0)4 (X_b)1 (X_c)1 + (X_0)4 (X_b)2 + (X_0)3 (X_b)2 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_b)3 (X_c)1 + (X_0)5 (X_a)1 + (X_0)4 (X_a)1 (X_c)1 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_a)1 (X_b)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_b)2 (X_c)1 + (X_0)2 (X_b)2 (X_c)2 + (X_0)4 (X_a)2 + (X_0)3 (X_a)2 (X_c)1 + (X_0)3 (X_a)2 (X_b)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_b)1 (X_c)2 + (X_0)2 (X_b)1 (X_c)3 + (X_0)3 (X_a)3 + (X_0)2 (X_a)3 (X_c)1 + (X_0)3 (X_a)2 (X_c)1 + (X_0)2 (X_a)2 (X_c)2 + (X_0)3 (X_a)1 (X_c)2 + (X_0)2 (X_a)1 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 0 a 0 0
0 0 0 a a 0
0 0 0 a b 0
0 0 0 a c 0
0 0 0 b 0 0
0 0 0 b a 0
0 0 0 b b 0
0 0 0 b c 0
0 0 0 c 0 0
0 0 0 c a 0
0 0 0 c b 0
0 0 0 c c 0
0 0 a 0 0 0
0 0 a 0 a 0
0 0 a 0 b 0
0 0 a 0 c 0
0 0 a a 0 0
0 0 a a a 0
0 0 a a b 0
0 0 a a c 0
0 0 a b 0 0
0 0 a b a 0
0 0 a b b 0
0 0 a b c 0
0 0 a c 0 0
0 0 a c a 0
0 0 a c b 0
0 0 a c c 0
0 0 b 0 0 0
0 0 b 0 a 0
0 0 b 0 b 0
0 0 b 0 c 0
0 0 b a 0 0
0 0 b a a 0
0 0 b a b 0
0 0 b a c 0
0 0 b b 0 0
0 0 b b a 0
0 0 b b b 0
0 0 b b c 0
0 0 b c 0 0
0 0 b c a 0
0 0 b c b 0
0 0 b c c 0
0 0 c 0 0 0
0 0 c 0 a 0
0 0 c 0 b 0
0 0 c 0 c 0
0 0 c a 0 0
0 0 c a a 0
0 0 c a b 0
0 0 c a c 0
0 0 c b 0 0
0 0 c b a 0
0 0 c b b 0
0 0 c b c 0
0 0 c c 0 0
0 0 c c a 0
0 0 c c b 0
0 0 c c c 0

Is it a nice code?: No

Generator Matrix-66

a 0 0 0 0 a
0 a 0 0 0 0
b 0 0 0 0 b
0 b 0 0 0 0
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b 0 0 0 0
0 b c 0 0 c
b 0 0 0 0 b
b 0 c 0 0 a
b b 0 0 0 b
b b c 0 0 a
0 a 0 0 0 0
0 a c 0 0 c
0 c 0 0 0 0
0 c c 0 0 c
b a 0 0 0 b
b a c 0 0 a
b c 0 0 0 b
b c c 0 0 a
a 0 0 0 0 a
a 0 c 0 0 b
a b 0 0 0 a
a b c 0 0 b
c 0 0 0 0 c
c 0 c 0 0 0
c b 0 0 0 c
c b c 0 0 0
a a 0 0 0 a
a a c 0 0 b
a c 0 0 0 a
a c c 0 0 b
c a 0 0 0 c
c a c 0 0 0
c c 0 0 0 c
c c c 0 0 0

dmin: 1
Weight Enumerator: 1x0 + 3x1 + 5x2 + 17x3 + 6x4 + 0x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)5 (X_b)1 + (X_0)3 (X_b)1 (X_c)2 + (X_0)4 (X_b)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)5 (X_a)1 + (X_0)3 (X_a)1 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_a)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)3 (X_a)2 (X_b)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_b)1 (X_c)2 + (X_0)3 (X_b)1 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_a)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_a)1 (X_c)2 + (X_0)3 (X_a)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 0 a 0 0
0 0 0 a a 0
0 0 0 a b 0
0 0 0 a c 0
0 0 0 b 0 0
0 0 0 b a 0
0 0 0 b b 0
0 0 0 b c 0
0 0 0 c 0 0
0 0 0 c a 0
0 0 0 c b 0
0 0 0 c c 0
0 0 a 0 0 0
0 0 a 0 a 0
0 0 a 0 b 0
0 0 a 0 c 0
0 0 a a 0 0
0 0 a a a 0
0 0 a a b 0
0 0 a a c 0
0 0 a b 0 0
0 0 a b a 0
0 0 a b b 0
0 0 a b c 0
0 0 a c 0 0
0 0 a c a 0
0 0 a c b 0
0 0 a c c 0
0 0 b 0 0 0
0 0 b 0 a 0
0 0 b 0 b 0
0 0 b 0 c 0
0 0 b a 0 0
0 0 b a a 0
0 0 b a b 0
0 0 b a c 0
0 0 b b 0 0
0 0 b b a 0
0 0 b b b 0
0 0 b b c 0
0 0 b c 0 0
0 0 b c a 0
0 0 b c b 0
0 0 b c c 0
0 0 c 0 0 0
0 0 c 0 a 0
0 0 c 0 b 0
0 0 c 0 c 0
0 0 c a 0 0
0 0 c a a 0
0 0 c a b 0
0 0 c a c 0
0 0 c b 0 0
0 0 c b a 0
0 0 c b b 0
0 0 c b c 0
0 0 c c 0 0
0 0 c c a 0
0 0 c c b 0
0 0 c c c 0

Is it a nice code?: No

Generator Matrix-67

a 0 0 0 0 a
0 a 0 0 0 0
b 0 0 0 0 b
0 b 0 0 0 0
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b 0 0 0 0
0 b c 0 c 0
b 0 0 0 0 b
b 0 c 0 c b
b b 0 0 0 b
b b c 0 c b
0 a 0 0 0 0
0 a c 0 c 0
0 c 0 0 0 0
0 c c 0 c 0
b a 0 0 0 b
b a c 0 c b
b c 0 0 0 b
b c c 0 c b
a 0 0 0 0 a
a 0 c 0 c a
a b 0 0 0 a
a b c 0 c a
c 0 0 0 0 c
c 0 c 0 c c
c b 0 0 0 c
c b c 0 c c
a a 0 0 0 a
a a c 0 c a
a c 0 0 0 a
a c c 0 c a
c a 0 0 0 c
c a c 0 c c
c c 0 0 0 c
c c c 0 c c

dmin: 1
Weight Enumerator: 1x0 + 3x1 + 4x2 + 12x3 + 3x4 + 9x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)5 (X_b)1 + (X_0)3 (X_b)1 (X_c)2 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)3 (X_b)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)5 (X_a)1 + (X_0)3 (X_a)1 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_b)2 (X_c)1 + (X_0)1 (X_b)2 (X_c)3 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)3 (X_a)2 (X_b)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_b)1 (X_c)2 + (X_0)1 (X_b)1 (X_c)4 + (X_0)3 (X_a)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)3 (X_a)2 (X_c)1 + (X_0)1 (X_a)2 (X_c)3 + (X_0)3 (X_a)1 (X_c)2 + (X_0)1 (X_a)1 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 0 a 0 0
0 0 0 a a 0
0 0 0 a b 0
0 0 0 a c 0
0 0 0 b 0 0
0 0 0 b a 0
0 0 0 b b 0
0 0 0 b c 0
0 0 0 c 0 0
0 0 0 c a 0
0 0 0 c b 0
0 0 0 c c 0
0 0 a 0 0 0
0 0 a 0 a 0
0 0 a 0 b 0
0 0 a 0 c 0
0 0 a a 0 0
0 0 a a a 0
0 0 a a b 0
0 0 a a c 0
0 0 a b 0 0
0 0 a b a 0
0 0 a b b 0
0 0 a b c 0
0 0 a c 0 0
0 0 a c a 0
0 0 a c b 0
0 0 a c c 0
0 0 b 0 0 0
0 0 b 0 a 0
0 0 b 0 b 0
0 0 b 0 c 0
0 0 b a 0 0
0 0 b a a 0
0 0 b a b 0
0 0 b a c 0
0 0 b b 0 0
0 0 b b a 0
0 0 b b b 0
0 0 b b c 0
0 0 b c 0 0
0 0 b c a 0
0 0 b c b 0
0 0 b c c 0
0 0 c 0 0 0
0 0 c 0 a 0
0 0 c 0 b 0
0 0 c 0 c 0
0 0 c a 0 0
0 0 c a a 0
0 0 c a b 0
0 0 c a c 0
0 0 c b 0 0
0 0 c b a 0
0 0 c b b 0
0 0 c b c 0
0 0 c c 0 0
0 0 c c a 0
0 0 c c b 0
0 0 c c c 0

Is it a nice code?: No

Generator Matrix-68

a 0 0 0 0 a
0 a 0 0 0 0
b 0 0 0 0 b
0 b 0 0 0 0
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b 0 0 0 0
0 b c 0 c c
b 0 0 0 0 b
b 0 c 0 c a
b b 0 0 0 b
b b c 0 c a
0 a 0 0 0 0
0 a c 0 c c
0 c 0 0 0 0
0 c c 0 c c
b a 0 0 0 b
b a c 0 c a
b c 0 0 0 b
b c c 0 c a
a 0 0 0 0 a
a 0 c 0 c b
a b 0 0 0 a
a b c 0 c b
c 0 0 0 0 c
c 0 c 0 c 0
c b 0 0 0 c
c b c 0 c 0
a a 0 0 0 a
a a c 0 c b
a c 0 0 0 a
a c c 0 c b
c a 0 0 0 c
c a c 0 c 0
c c 0 0 0 c
c c c 0 c 0

dmin: 1
Weight Enumerator: 1x0 + 3x1 + 3x2 + 11x3 + 8x4 + 6x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)5 (X_b)1 + (X_0)2 (X_b)1 (X_c)3 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)5 (X_a)1 + (X_0)2 (X_a)1 (X_c)3 + (X_0)5 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_a)1 (X_b)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_a)2 (X_b)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_b)1 (X_c)2 + (X_0)2 (X_b)1 (X_c)3 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_a)1 (X_c)2 + (X_0)2 (X_a)1 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 0 a 0 0
0 0 0 a a 0
0 0 0 a b 0
0 0 0 a c 0
0 0 0 b 0 0
0 0 0 b a 0
0 0 0 b b 0
0 0 0 b c 0
0 0 0 c 0 0
0 0 0 c a 0
0 0 0 c b 0
0 0 0 c c 0
0 0 a 0 0 0
0 0 a 0 a 0
0 0 a 0 b 0
0 0 a 0 c 0
0 0 a a 0 0
0 0 a a a 0
0 0 a a b 0
0 0 a a c 0
0 0 a b 0 0
0 0 a b a 0
0 0 a b b 0
0 0 a b c 0
0 0 a c 0 0
0 0 a c a 0
0 0 a c b 0
0 0 a c c 0
0 0 b 0 0 0
0 0 b 0 a 0
0 0 b 0 b 0
0 0 b 0 c 0
0 0 b a 0 0
0 0 b a a 0
0 0 b a b 0
0 0 b a c 0
0 0 b b 0 0
0 0 b b a 0
0 0 b b b 0
0 0 b b c 0
0 0 b c 0 0
0 0 b c a 0
0 0 b c b 0
0 0 b c c 0
0 0 c 0 0 0
0 0 c 0 a 0
0 0 c 0 b 0
0 0 c 0 c 0
0 0 c a 0 0
0 0 c a a 0
0 0 c a b 0
0 0 c a c 0
0 0 c b 0 0
0 0 c b a 0
0 0 c b b 0
0 0 c b c 0
0 0 c c 0 0
0 0 c c a 0
0 0 c c b 0
0 0 c c c 0

Is it a nice code?: No

Generator Matrix-69

a 0 0 0 0 a
0 a 0 0 0 0
b 0 0 0 0 b
0 b 0 0 0 0
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b 0 0 0 0
0 b c c 0 0
b 0 0 0 0 b
b 0 c c 0 b
b b 0 0 0 b
b b c c 0 b
0 a 0 0 0 0
0 a c c 0 0
0 c 0 0 0 0
0 c c c 0 0
b a 0 0 0 b
b a c c 0 b
b c 0 0 0 b
b c c c 0 b
a 0 0 0 0 a
a 0 c c 0 a
a b 0 0 0 a
a b c c 0 a
c 0 0 0 0 c
c 0 c c 0 c
c b 0 0 0 c
c b c c 0 c
a a 0 0 0 a
a a c c 0 a
a c 0 0 0 a
a c c c 0 a
c a 0 0 0 c
c a c c 0 c
c c 0 0 0 c
c c c c 0 c

dmin: 1
Weight Enumerator: 1x0 + 3x1 + 4x2 + 12x3 + 3x4 + 9x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)5 (X_b)1 + (X_0)3 (X_b)1 (X_c)2 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)3 (X_b)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)5 (X_a)1 + (X_0)3 (X_a)1 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_b)2 (X_c)1 + (X_0)1 (X_b)2 (X_c)3 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)3 (X_a)2 (X_b)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_b)1 (X_c)2 + (X_0)1 (X_b)1 (X_c)4 + (X_0)3 (X_a)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)3 (X_a)2 (X_c)1 + (X_0)1 (X_a)2 (X_c)3 + (X_0)3 (X_a)1 (X_c)2 + (X_0)1 (X_a)1 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 0 a 0 0
0 0 0 a a 0
0 0 0 a b 0
0 0 0 a c 0
0 0 0 b 0 0
0 0 0 b a 0
0 0 0 b b 0
0 0 0 b c 0
0 0 0 c 0 0
0 0 0 c a 0
0 0 0 c b 0
0 0 0 c c 0
0 0 a 0 0 0
0 0 a 0 a 0
0 0 a 0 b 0
0 0 a 0 c 0
0 0 a a 0 0
0 0 a a a 0
0 0 a a b 0
0 0 a a c 0
0 0 a b 0 0
0 0 a b a 0
0 0 a b b 0
0 0 a b c 0
0 0 a c 0 0
0 0 a c a 0
0 0 a c b 0
0 0 a c c 0
0 0 b 0 0 0
0 0 b 0 a 0
0 0 b 0 b 0
0 0 b 0 c 0
0 0 b a 0 0
0 0 b a a 0
0 0 b a b 0
0 0 b a c 0
0 0 b b 0 0
0 0 b b a 0
0 0 b b b 0
0 0 b b c 0
0 0 b c 0 0
0 0 b c a 0
0 0 b c b 0
0 0 b c c 0
0 0 c 0 0 0
0 0 c 0 a 0
0 0 c 0 b 0
0 0 c 0 c 0
0 0 c a 0 0
0 0 c a a 0
0 0 c a b 0
0 0 c a c 0
0 0 c b 0 0
0 0 c b a 0
0 0 c b b 0
0 0 c b c 0
0 0 c c 0 0
0 0 c c a 0
0 0 c c b 0
0 0 c c c 0

Is it a nice code?: No

Generator Matrix-70

a 0 0 0 0 a
0 a 0 0 0 0
b 0 0 0 0 b
0 b 0 0 0 0
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b 0 0 0 0
0 b c c 0 c
b 0 0 0 0 b
b 0 c c 0 a
b b 0 0 0 b
b b c c 0 a
0 a 0 0 0 0
0 a c c 0 c
0 c 0 0 0 0
0 c c c 0 c
b a 0 0 0 b
b a c c 0 a
b c 0 0 0 b
b c c c 0 a
a 0 0 0 0 a
a 0 c c 0 b
a b 0 0 0 a
a b c c 0 b
c 0 0 0 0 c
c 0 c c 0 0
c b 0 0 0 c
c b c c 0 0
a a 0 0 0 a
a a c c 0 b
a c 0 0 0 a
a c c c 0 b
c a 0 0 0 c
c a c c 0 0
c c 0 0 0 c
c c c c 0 0

dmin: 1
Weight Enumerator: 1x0 + 3x1 + 3x2 + 11x3 + 8x4 + 6x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)5 (X_b)1 + (X_0)2 (X_b)1 (X_c)3 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)5 (X_a)1 + (X_0)2 (X_a)1 (X_c)3 + (X_0)5 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_a)1 (X_b)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_a)2 (X_b)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_b)1 (X_c)2 + (X_0)2 (X_b)1 (X_c)3 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_a)1 (X_c)2 + (X_0)2 (X_a)1 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 0 a 0 0
0 0 0 a a 0
0 0 0 a b 0
0 0 0 a c 0
0 0 0 b 0 0
0 0 0 b a 0
0 0 0 b b 0
0 0 0 b c 0
0 0 0 c 0 0
0 0 0 c a 0
0 0 0 c b 0
0 0 0 c c 0
0 0 a 0 0 0
0 0 a 0 a 0
0 0 a 0 b 0
0 0 a 0 c 0
0 0 a a 0 0
0 0 a a a 0
0 0 a a b 0
0 0 a a c 0
0 0 a b 0 0
0 0 a b a 0
0 0 a b b 0
0 0 a b c 0
0 0 a c 0 0
0 0 a c a 0
0 0 a c b 0
0 0 a c c 0
0 0 b 0 0 0
0 0 b 0 a 0
0 0 b 0 b 0
0 0 b 0 c 0
0 0 b a 0 0
0 0 b a a 0
0 0 b a b 0
0 0 b a c 0
0 0 b b 0 0
0 0 b b a 0
0 0 b b b 0
0 0 b b c 0
0 0 b c 0 0
0 0 b c a 0
0 0 b c b 0
0 0 b c c 0
0 0 c 0 0 0
0 0 c 0 a 0
0 0 c 0 b 0
0 0 c 0 c 0
0 0 c a 0 0
0 0 c a a 0
0 0 c a b 0
0 0 c a c 0
0 0 c b 0 0
0 0 c b a 0
0 0 c b b 0
0 0 c b c 0
0 0 c c 0 0
0 0 c c a 0
0 0 c c b 0
0 0 c c c 0

Is it a nice code?: No

Generator Matrix-71

a 0 0 0 0 a
0 a 0 0 0 0
b 0 0 0 0 b
0 b 0 0 0 0
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b 0 0 0 0
0 b c c c 0
b 0 0 0 0 b
b 0 c c c b
b b 0 0 0 b
b b c c c b
0 a 0 0 0 0
0 a c c c 0
0 c 0 0 0 0
0 c c c c 0
b a 0 0 0 b
b a c c c b
b c 0 0 0 b
b c c c c b
a 0 0 0 0 a
a 0 c c c a
a b 0 0 0 a
a b c c c a
c 0 0 0 0 c
c 0 c c c c
c b 0 0 0 c
c b c c c c
a a 0 0 0 a
a a c c c a
a c 0 0 0 a
a c c c c a
c a 0 0 0 c
c a c c c c
c c 0 0 0 c
c c c c c c

dmin: 1
Weight Enumerator: 1x0 + 3x1 + 3x2 + 10x3 + 3x4 + 3x5 + 9x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)5 (X_b)1 + (X_0)2 (X_b)1 (X_c)3 + (X_0)4 (X_b)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)3 (X_b)3 + (X_b)3 (X_c)3 + (X_0)5 (X_a)1 + (X_0)2 (X_a)1 (X_c)3 + (X_0)5 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_a)1 (X_b)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_b)2 (X_c)1 + (X_b)2 (X_c)4 + (X_0)4 (X_a)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)3 (X_a)2 (X_b)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5 + (X_0)3 (X_b)1 (X_c)2 + (X_b)1 (X_c)5 + (X_0)3 (X_a)3 + (X_a)3 (X_c)3 + (X_0)3 (X_a)2 (X_c)1 + (X_a)2 (X_c)4 + (X_0)3 (X_a)1 (X_c)2 + (X_a)1 (X_c)5 + (X_0)3 (X_c)3 + (X_c)6

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 0 a 0 0
0 0 0 a a 0
0 0 0 a b 0
0 0 0 a c 0
0 0 0 b 0 0
0 0 0 b a 0
0 0 0 b b 0
0 0 0 b c 0
0 0 0 c 0 0
0 0 0 c a 0
0 0 0 c b 0
0 0 0 c c 0
0 0 a 0 0 0
0 0 a 0 a 0
0 0 a 0 b 0
0 0 a 0 c 0
0 0 a a 0 0
0 0 a a a 0
0 0 a a b 0
0 0 a a c 0
0 0 a b 0 0
0 0 a b a 0
0 0 a b b 0
0 0 a b c 0
0 0 a c 0 0
0 0 a c a 0
0 0 a c b 0
0 0 a c c 0
0 0 b 0 0 0
0 0 b 0 a 0
0 0 b 0 b 0
0 0 b 0 c 0
0 0 b a 0 0
0 0 b a a 0
0 0 b a b 0
0 0 b a c 0
0 0 b b 0 0
0 0 b b a 0
0 0 b b b 0
0 0 b b c 0
0 0 b c 0 0
0 0 b c a 0
0 0 b c b 0
0 0 b c c 0
0 0 c 0 0 0
0 0 c 0 a 0
0 0 c 0 b 0
0 0 c 0 c 0
0 0 c a 0 0
0 0 c a a 0
0 0 c a b 0
0 0 c a c 0
0 0 c b 0 0
0 0 c b a 0
0 0 c b b 0
0 0 c b c 0
0 0 c c 0 0
0 0 c c a 0
0 0 c c b 0
0 0 c c c 0

Is it a nice code?: No

Generator Matrix-72

a 0 0 0 0 a
0 a 0 0 0 0
b 0 0 0 0 b
0 b 0 0 0 0
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b 0 0 0 0
0 b c c c c
b 0 0 0 0 b
b 0 c c c a
b b 0 0 0 b
b b c c c a
0 a 0 0 0 0
0 a c c c c
0 c 0 0 0 0
0 c c c c c
b a 0 0 0 b
b a c c c a
b c 0 0 0 b
b c c c c a
a 0 0 0 0 a
a 0 c c c b
a b 0 0 0 a
a b c c c b
c 0 0 0 0 c
c 0 c c c 0
c b 0 0 0 c
c b c c c 0
a a 0 0 0 a
a a c c c b
a c 0 0 0 a
a c c c c b
c a 0 0 0 c
c a c c c 0
c c 0 0 0 c
c c c c c 0

dmin: 1
Weight Enumerator: 1x0 + 3x1 + 3x2 + 9x3 + 2x4 + 8x5 + 6x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)5 (X_b)1 + (X_0)1 (X_b)1 (X_c)4 + (X_0)4 (X_b)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_b)3 + (X_a)1 (X_b)2 (X_c)3 + (X_0)5 (X_a)1 + (X_0)1 (X_a)1 (X_c)4 + (X_0)5 (X_c)1 + (X_0)1 (X_c)5 + (X_0)3 (X_a)1 (X_b)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_b)2 (X_c)1 + (X_a)1 (X_b)1 (X_c)4 + (X_0)4 (X_a)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_a)2 (X_b)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_b)1 (X_c)2 + (X_0)1 (X_b)1 (X_c)4 + (X_0)3 (X_a)3 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_a)2 (X_c)1 + (X_a)1 (X_b)1 (X_c)4 + (X_0)3 (X_a)1 (X_c)2 + (X_0)1 (X_a)1 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 0 a 0 0
0 0 0 a a 0
0 0 0 a b 0
0 0 0 a c 0
0 0 0 b 0 0
0 0 0 b a 0
0 0 0 b b 0
0 0 0 b c 0
0 0 0 c 0 0
0 0 0 c a 0
0 0 0 c b 0
0 0 0 c c 0
0 0 a 0 0 0
0 0 a 0 a 0
0 0 a 0 b 0
0 0 a 0 c 0
0 0 a a 0 0
0 0 a a a 0
0 0 a a b 0
0 0 a a c 0
0 0 a b 0 0
0 0 a b a 0
0 0 a b b 0
0 0 a b c 0
0 0 a c 0 0
0 0 a c a 0
0 0 a c b 0
0 0 a c c 0
0 0 b 0 0 0
0 0 b 0 a 0
0 0 b 0 b 0
0 0 b 0 c 0
0 0 b a 0 0
0 0 b a a 0
0 0 b a b 0
0 0 b a c 0
0 0 b b 0 0
0 0 b b a 0
0 0 b b b 0
0 0 b b c 0
0 0 b c 0 0
0 0 b c a 0
0 0 b c b 0
0 0 b c c 0
0 0 c 0 0 0
0 0 c 0 a 0
0 0 c 0 b 0
0 0 c 0 c 0
0 0 c a 0 0
0 0 c a a 0
0 0 c a b 0
0 0 c a c 0
0 0 c b 0 0
0 0 c b a 0
0 0 c b b 0
0 0 c b c 0
0 0 c c 0 0
0 0 c c a 0
0 0 c c b 0
0 0 c c c 0

Is it a nice code?: No

Generator Matrix-73

a 0 0 0 0 a
0 a 0 0 0 a
b 0 0 0 0 b
0 b 0 0 0 b
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b 0 0 0 b
0 b c 0 0 b
b 0 0 0 0 b
b 0 c 0 0 b
b b 0 0 0 0
b b c 0 0 0
0 a 0 0 0 a
0 a c 0 0 a
0 c 0 0 0 c
0 c c 0 0 c
b a 0 0 0 c
b a c 0 0 c
b c 0 0 0 a
b c c 0 0 a
a 0 0 0 0 a
a 0 c 0 0 a
a b 0 0 0 c
a b c 0 0 c
c 0 0 0 0 c
c 0 c 0 0 c
c b 0 0 0 a
c b c 0 0 a
a a 0 0 0 0
a a c 0 0 0
a c 0 0 0 b
a c c 0 0 b
c a 0 0 0 b
c a c 0 0 b
c c 0 0 0 0
c c c 0 0 0

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 9x2 + 15x3 + 6x4 + 0x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)4 (X_b)2 + (X_0)3 (X_b)2 (X_c)1 + (X_0)4 (X_b)2 + (X_0)3 (X_b)2 (X_c)1 + (X_0)4 (X_b)2 + (X_0)3 (X_b)2 (X_c)1 + (X_0)4 (X_a)2 + (X_0)3 (X_a)2 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_a)2 + (X_0)3 (X_a)2 (X_c)1 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_a)2 + (X_0)3 (X_a)2 (X_c)1 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 0 a 0 0
0 0 0 a a 0
0 0 0 a b 0
0 0 0 a c 0
0 0 0 b 0 0
0 0 0 b a 0
0 0 0 b b 0
0 0 0 b c 0
0 0 0 c 0 0
0 0 0 c a 0
0 0 0 c b 0
0 0 0 c c 0
0 0 a 0 0 0
0 0 a 0 a 0
0 0 a 0 b 0
0 0 a 0 c 0
0 0 a a 0 0
0 0 a a a 0
0 0 a a b 0
0 0 a a c 0
0 0 a b 0 0
0 0 a b a 0
0 0 a b b 0
0 0 a b c 0
0 0 a c 0 0
0 0 a c a 0
0 0 a c b 0
0 0 a c c 0
0 0 b 0 0 0
0 0 b 0 a 0
0 0 b 0 b 0
0 0 b 0 c 0
0 0 b a 0 0
0 0 b a a 0
0 0 b a b 0
0 0 b a c 0
0 0 b b 0 0
0 0 b b a 0
0 0 b b b 0
0 0 b b c 0
0 0 b c 0 0
0 0 b c a 0
0 0 b c b 0
0 0 b c c 0
0 0 c 0 0 0
0 0 c 0 a 0
0 0 c 0 b 0
0 0 c 0 c 0
0 0 c a 0 0
0 0 c a a 0
0 0 c a b 0
0 0 c a c 0
0 0 c b 0 0
0 0 c b a 0
0 0 c b b 0
0 0 c b c 0
0 0 c c 0 0
0 0 c c a 0
0 0 c c b 0
0 0 c c c 0

Is it a nice code?: No

Generator Matrix-74

a 0 0 0 0 a
0 a 0 0 0 a
b 0 0 0 0 b
0 b 0 0 0 b
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b 0 0 0 b
0 b c 0 0 a
b 0 0 0 0 b
b 0 c 0 0 a
b b 0 0 0 0
b b c 0 0 c
0 a 0 0 0 a
0 a c 0 0 b
0 c 0 0 0 c
0 c c 0 0 0
b a 0 0 0 c
b a c 0 0 0
b c 0 0 0 a
b c c 0 0 b
a 0 0 0 0 a
a 0 c 0 0 b
a b 0 0 0 c
a b c 0 0 0
c 0 0 0 0 c
c 0 c 0 0 0
c b 0 0 0 a
c b c 0 0 b
a a 0 0 0 0
a a c 0 0 c
a c 0 0 0 b
a c c 0 0 a
c a 0 0 0 b
c a c 0 0 a
c c 0 0 0 0
c c c 0 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 12x2 + 12x3 + 7x4 + 0x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_b)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)4 (X_b)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)4 (X_a)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_b)2 (X_c)2 + (X_0)4 (X_a)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_b)2 (X_c)2 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_c)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 0 a 0 0
0 0 0 a a 0
0 0 0 a b 0
0 0 0 a c 0
0 0 0 b 0 0
0 0 0 b a 0
0 0 0 b b 0
0 0 0 b c 0
0 0 0 c 0 0
0 0 0 c a 0
0 0 0 c b 0
0 0 0 c c 0
0 0 a 0 0 0
0 0 a 0 a 0
0 0 a 0 b 0
0 0 a 0 c 0
0 0 a a 0 0
0 0 a a a 0
0 0 a a b 0
0 0 a a c 0
0 0 a b 0 0
0 0 a b a 0
0 0 a b b 0
0 0 a b c 0
0 0 a c 0 0
0 0 a c a 0
0 0 a c b 0
0 0 a c c 0
0 0 b 0 0 0
0 0 b 0 a 0
0 0 b 0 b 0
0 0 b 0 c 0
0 0 b a 0 0
0 0 b a a 0
0 0 b a b 0
0 0 b a c 0
0 0 b b 0 0
0 0 b b a 0
0 0 b b b 0
0 0 b b c 0
0 0 b c 0 0
0 0 b c a 0
0 0 b c b 0
0 0 b c c 0
0 0 c 0 0 0
0 0 c 0 a 0
0 0 c 0 b 0
0 0 c 0 c 0
0 0 c a 0 0
0 0 c a a 0
0 0 c a b 0
0 0 c a c 0
0 0 c b 0 0
0 0 c b a 0
0 0 c b b 0
0 0 c b c 0
0 0 c c 0 0
0 0 c c a 0
0 0 c c b 0
0 0 c c c 0

Is it a nice code?: No

Generator Matrix-75

a 0 0 0 0 a
0 a 0 0 0 a
b 0 0 0 0 b
0 b 0 0 0 b
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b 0 0 0 b
0 b c 0 c b
b 0 0 0 0 b
b 0 c 0 c b
b b 0 0 0 0
b b c 0 c 0
0 a 0 0 0 a
0 a c 0 c a
0 c 0 0 0 c
0 c c 0 c c
b a 0 0 0 c
b a c 0 c c
b c 0 0 0 a
b c c 0 c a
a 0 0 0 0 a
a 0 c 0 c a
a b 0 0 0 c
a b c 0 c c
c 0 0 0 0 c
c 0 c 0 c c
c b 0 0 0 a
c b c 0 c a
a a 0 0 0 0
a a c 0 c 0
a c 0 0 0 b
a c c 0 c b
c a 0 0 0 b
c a c 0 c b
c c 0 0 0 0
c c c 0 c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 10x2 + 6x3 + 9x4 + 6x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 0 a 0 0
0 0 0 a a 0
0 0 0 a b 0
0 0 0 a c 0
0 0 0 b 0 0
0 0 0 b a 0
0 0 0 b b 0
0 0 0 b c 0
0 0 0 c 0 0
0 0 0 c a 0
0 0 0 c b 0
0 0 0 c c 0
0 0 a 0 0 0
0 0 a 0 a 0
0 0 a 0 b 0
0 0 a 0 c 0
0 0 a a 0 0
0 0 a a a 0
0 0 a a b 0
0 0 a a c 0
0 0 a b 0 0
0 0 a b a 0
0 0 a b b 0
0 0 a b c 0
0 0 a c 0 0
0 0 a c a 0
0 0 a c b 0
0 0 a c c 0
0 0 b 0 0 0
0 0 b 0 a 0
0 0 b 0 b 0
0 0 b 0 c 0
0 0 b a 0 0
0 0 b a a 0
0 0 b a b 0
0 0 b a c 0
0 0 b b 0 0
0 0 b b a 0
0 0 b b b 0
0 0 b b c 0
0 0 b c 0 0
0 0 b c a 0
0 0 b c b 0
0 0 b c c 0
0 0 c 0 0 0
0 0 c 0 a 0
0 0 c 0 b 0
0 0 c 0 c 0
0 0 c a 0 0
0 0 c a a 0
0 0 c a b 0
0 0 c a c 0
0 0 c b 0 0
0 0 c b a 0
0 0 c b b 0
0 0 c b c 0
0 0 c c 0 0
0 0 c c a 0
0 0 c c b 0
0 0 c c c 0

Is it a nice code?: No

Generator Matrix-76

a 0 0 0 0 a
0 a 0 0 0 a
b 0 0 0 0 b
0 b 0 0 0 b
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b 0 0 0 b
0 b c 0 c a
b 0 0 0 0 b
b 0 c 0 c a
b b 0 0 0 0
b b c 0 c c
0 a 0 0 0 a
0 a c 0 c b
0 c 0 0 0 c
0 c c 0 c 0
b a 0 0 0 c
b a c 0 c 0
b c 0 0 0 a
b c c 0 c b
a 0 0 0 0 a
a 0 c 0 c b
a b 0 0 0 c
a b c 0 c 0
c 0 0 0 0 c
c 0 c 0 c 0
c b 0 0 0 a
c b c 0 c b
a a 0 0 0 0
a a c 0 c c
a c 0 0 0 b
a c c 0 c a
c a 0 0 0 b
c a c 0 c a
c c 0 0 0 0
c c c 0 c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 9x2 + 9x3 + 6x4 + 7x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_b)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_b)2 (X_c)3 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_b)2 (X_c)3 + (X_0)4 (X_a)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_c)3 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 0 a 0 0
0 0 0 a a 0
0 0 0 a b 0
0 0 0 a c 0
0 0 0 b 0 0
0 0 0 b a 0
0 0 0 b b 0
0 0 0 b c 0
0 0 0 c 0 0
0 0 0 c a 0
0 0 0 c b 0
0 0 0 c c 0
0 0 a 0 0 0
0 0 a 0 a 0
0 0 a 0 b 0
0 0 a 0 c 0
0 0 a a 0 0
0 0 a a a 0
0 0 a a b 0
0 0 a a c 0
0 0 a b 0 0
0 0 a b a 0
0 0 a b b 0
0 0 a b c 0
0 0 a c 0 0
0 0 a c a 0
0 0 a c b 0
0 0 a c c 0
0 0 b 0 0 0
0 0 b 0 a 0
0 0 b 0 b 0
0 0 b 0 c 0
0 0 b a 0 0
0 0 b a a 0
0 0 b a b 0
0 0 b a c 0
0 0 b b 0 0
0 0 b b a 0
0 0 b b b 0
0 0 b b c 0
0 0 b c 0 0
0 0 b c a 0
0 0 b c b 0
0 0 b c c 0
0 0 c 0 0 0
0 0 c 0 a 0
0 0 c 0 b 0
0 0 c 0 c 0
0 0 c a 0 0
0 0 c a a 0
0 0 c a b 0
0 0 c a c 0
0 0 c b 0 0
0 0 c b a 0
0 0 c b b 0
0 0 c b c 0
0 0 c c 0 0
0 0 c c a 0
0 0 c c b 0
0 0 c c c 0

Is it a nice code?: No

Generator Matrix-77

a 0 0 0 0 a
0 a 0 0 0 a
b 0 0 0 0 b
0 b 0 0 0 b
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b 0 0 0 b
0 b c c 0 b
b 0 0 0 0 b
b 0 c c 0 b
b b 0 0 0 0
b b c c 0 0
0 a 0 0 0 a
0 a c c 0 a
0 c 0 0 0 c
0 c c c 0 c
b a 0 0 0 c
b a c c 0 c
b c 0 0 0 a
b c c c 0 a
a 0 0 0 0 a
a 0 c c 0 a
a b 0 0 0 c
a b c c 0 c
c 0 0 0 0 c
c 0 c c 0 c
c b 0 0 0 a
c b c c 0 a
a a 0 0 0 0
a a c c 0 0
a c 0 0 0 b
a c c c 0 b
c a 0 0 0 b
c a c c 0 b
c c 0 0 0 0
c c c c 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 10x2 + 6x3 + 9x4 + 6x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 0 a 0 0
0 0 0 a a 0
0 0 0 a b 0
0 0 0 a c 0
0 0 0 b 0 0
0 0 0 b a 0
0 0 0 b b 0
0 0 0 b c 0
0 0 0 c 0 0
0 0 0 c a 0
0 0 0 c b 0
0 0 0 c c 0
0 0 a 0 0 0
0 0 a 0 a 0
0 0 a 0 b 0
0 0 a 0 c 0
0 0 a a 0 0
0 0 a a a 0
0 0 a a b 0
0 0 a a c 0
0 0 a b 0 0
0 0 a b a 0
0 0 a b b 0
0 0 a b c 0
0 0 a c 0 0
0 0 a c a 0
0 0 a c b 0
0 0 a c c 0
0 0 b 0 0 0
0 0 b 0 a 0
0 0 b 0 b 0
0 0 b 0 c 0
0 0 b a 0 0
0 0 b a a 0
0 0 b a b 0
0 0 b a c 0
0 0 b b 0 0
0 0 b b a 0
0 0 b b b 0
0 0 b b c 0
0 0 b c 0 0
0 0 b c a 0
0 0 b c b 0
0 0 b c c 0
0 0 c 0 0 0
0 0 c 0 a 0
0 0 c 0 b 0
0 0 c 0 c 0
0 0 c a 0 0
0 0 c a a 0
0 0 c a b 0
0 0 c a c 0
0 0 c b 0 0
0 0 c b a 0
0 0 c b b 0
0 0 c b c 0
0 0 c c 0 0
0 0 c c a 0
0 0 c c b 0
0 0 c c c 0

Is it a nice code?: No

Generator Matrix-78

a 0 0 0 0 a
0 a 0 0 0 a
b 0 0 0 0 b
0 b 0 0 0 b
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b 0 0 0 b
0 b c c 0 a
b 0 0 0 0 b
b 0 c c 0 a
b b 0 0 0 0
b b c c 0 c
0 a 0 0 0 a
0 a c c 0 b
0 c 0 0 0 c
0 c c c 0 0
b a 0 0 0 c
b a c c 0 0
b c 0 0 0 a
b c c c 0 b
a 0 0 0 0 a
a 0 c c 0 b
a b 0 0 0 c
a b c c 0 0
c 0 0 0 0 c
c 0 c c 0 0
c b 0 0 0 a
c b c c 0 b
a a 0 0 0 0
a a c c 0 c
a c 0 0 0 b
a c c c 0 a
c a 0 0 0 b
c a c c 0 a
c c 0 0 0 0
c c c c 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 9x2 + 9x3 + 6x4 + 7x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_b)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_b)2 (X_c)3 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_b)2 (X_c)3 + (X_0)4 (X_a)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_c)3 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 0 a 0 0
0 0 0 a a 0
0 0 0 a b 0
0 0 0 a c 0
0 0 0 b 0 0
0 0 0 b a 0
0 0 0 b b 0
0 0 0 b c 0
0 0 0 c 0 0
0 0 0 c a 0
0 0 0 c b 0
0 0 0 c c 0
0 0 a 0 0 0
0 0 a 0 a 0
0 0 a 0 b 0
0 0 a 0 c 0
0 0 a a 0 0
0 0 a a a 0
0 0 a a b 0
0 0 a a c 0
0 0 a b 0 0
0 0 a b a 0
0 0 a b b 0
0 0 a b c 0
0 0 a c 0 0
0 0 a c a 0
0 0 a c b 0
0 0 a c c 0
0 0 b 0 0 0
0 0 b 0 a 0
0 0 b 0 b 0
0 0 b 0 c 0
0 0 b a 0 0
0 0 b a a 0
0 0 b a b 0
0 0 b a c 0
0 0 b b 0 0
0 0 b b a 0
0 0 b b b 0
0 0 b b c 0
0 0 b c 0 0
0 0 b c a 0
0 0 b c b 0
0 0 b c c 0
0 0 c 0 0 0
0 0 c 0 a 0
0 0 c 0 b 0
0 0 c 0 c 0
0 0 c a 0 0
0 0 c a a 0
0 0 c a b 0
0 0 c a c 0
0 0 c b 0 0
0 0 c b a 0
0 0 c b b 0
0 0 c b c 0
0 0 c c 0 0
0 0 c c a 0
0 0 c c b 0
0 0 c c c 0

Is it a nice code?: No

Generator Matrix-79

a 0 0 0 0 a
0 a 0 0 0 a
b 0 0 0 0 b
0 b 0 0 0 b
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b 0 0 0 b
0 b c c c b
b 0 0 0 0 b
b 0 c c c b
b b 0 0 0 0
b b c c c 0
0 a 0 0 0 a
0 a c c c a
0 c 0 0 0 c
0 c c c c c
b a 0 0 0 c
b a c c c c
b c 0 0 0 a
b c c c c a
a 0 0 0 0 a
a 0 c c c a
a b 0 0 0 c
a b c c c c
c 0 0 0 0 c
c 0 c c c c
c b 0 0 0 a
c b c c c a
a a 0 0 0 0
a a c c c 0
a c 0 0 0 b
a c c c c b
c a 0 0 0 b
c a c c c b
c c 0 0 0 0
c c c c c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 9x2 + 7x3 + 0x4 + 9x5 + 6x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)4 (X_b)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)4 (X_b)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)4 (X_b)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)4 (X_a)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_a)1 (X_b)1 (X_c)4 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_a)1 (X_b)1 (X_c)4 + (X_0)4 (X_a)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_a)1 (X_b)1 (X_c)4 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_a)1 (X_b)1 (X_c)4 + (X_0)4 (X_a)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_a)1 (X_b)1 (X_c)4 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_a)1 (X_b)1 (X_c)4 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 0 a 0 0
0 0 0 a a 0
0 0 0 a b 0
0 0 0 a c 0
0 0 0 b 0 0
0 0 0 b a 0
0 0 0 b b 0
0 0 0 b c 0
0 0 0 c 0 0
0 0 0 c a 0
0 0 0 c b 0
0 0 0 c c 0
0 0 a 0 0 0
0 0 a 0 a 0
0 0 a 0 b 0
0 0 a 0 c 0
0 0 a a 0 0
0 0 a a a 0
0 0 a a b 0
0 0 a a c 0
0 0 a b 0 0
0 0 a b a 0
0 0 a b b 0
0 0 a b c 0
0 0 a c 0 0
0 0 a c a 0
0 0 a c b 0
0 0 a c c 0
0 0 b 0 0 0
0 0 b 0 a 0
0 0 b 0 b 0
0 0 b 0 c 0
0 0 b a 0 0
0 0 b a a 0
0 0 b a b 0
0 0 b a c 0
0 0 b b 0 0
0 0 b b a 0
0 0 b b b 0
0 0 b b c 0
0 0 b c 0 0
0 0 b c a 0
0 0 b c b 0
0 0 b c c 0
0 0 c 0 0 0
0 0 c 0 a 0
0 0 c 0 b 0
0 0 c 0 c 0
0 0 c a 0 0
0 0 c a a 0
0 0 c a b 0
0 0 c a c 0
0 0 c b 0 0
0 0 c b a 0
0 0 c b b 0
0 0 c b c 0
0 0 c c 0 0
0 0 c c a 0
0 0 c c b 0
0 0 c c c 0

Is it a nice code?: No

Generator Matrix-80

a 0 0 0 0 a
0 a 0 0 0 a
b 0 0 0 0 b
0 b 0 0 0 b
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b 0 0 0 b
0 b c c c a
b 0 0 0 0 b
b 0 c c c a
b b 0 0 0 0
b b c c c c
0 a 0 0 0 a
0 a c c c b
0 c 0 0 0 c
0 c c c c 0
b a 0 0 0 c
b a c c c 0
b c 0 0 0 a
b c c c c b
a 0 0 0 0 a
a 0 c c c b
a b 0 0 0 c
a b c c c 0
c 0 0 0 0 c
c 0 c c c 0
c b 0 0 0 a
c b c c c b
a a 0 0 0 0
a a c c c c
a c 0 0 0 b
a c c c c a
c a 0 0 0 b
c a c c c a
c c 0 0 0 0
c c c c c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 9x2 + 6x3 + 3x4 + 6x5 + 7x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)4 (X_b)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_b)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_b)2 + (X_b)2 (X_c)4 + (X_0)4 (X_a)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_b)2 (X_c)4 + (X_0)4 (X_a)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_b)2 (X_c)4 + (X_0)4 (X_a)2 + (X_a)2 (X_c)4 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_a)2 (X_c)4 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_a)2 (X_c)4 + (X_0)4 (X_c)2 + (X_c)6

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 0 a 0 0
0 0 0 a a 0
0 0 0 a b 0
0 0 0 a c 0
0 0 0 b 0 0
0 0 0 b a 0
0 0 0 b b 0
0 0 0 b c 0
0 0 0 c 0 0
0 0 0 c a 0
0 0 0 c b 0
0 0 0 c c 0
0 0 a 0 0 0
0 0 a 0 a 0
0 0 a 0 b 0
0 0 a 0 c 0
0 0 a a 0 0
0 0 a a a 0
0 0 a a b 0
0 0 a a c 0
0 0 a b 0 0
0 0 a b a 0
0 0 a b b 0
0 0 a b c 0
0 0 a c 0 0
0 0 a c a 0
0 0 a c b 0
0 0 a c c 0
0 0 b 0 0 0
0 0 b 0 a 0
0 0 b 0 b 0
0 0 b 0 c 0
0 0 b a 0 0
0 0 b a a 0
0 0 b a b 0
0 0 b a c 0
0 0 b b 0 0
0 0 b b a 0
0 0 b b b 0
0 0 b b c 0
0 0 b c 0 0
0 0 b c a 0
0 0 b c b 0
0 0 b c c 0
0 0 c 0 0 0
0 0 c 0 a 0
0 0 c 0 b 0
0 0 c 0 c 0
0 0 c a 0 0
0 0 c a a 0
0 0 c a b 0
0 0 c a c 0
0 0 c b 0 0
0 0 c b a 0
0 0 c b b 0
0 0 c b c 0
0 0 c c 0 0
0 0 c c a 0
0 0 c c b 0
0 0 c c c 0

Is it a nice code?: No

Generator Matrix-81

a 0 0 0 0 a
0 a 0 0 a 0
b 0 0 0 0 b
0 b 0 0 b 0
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b 0 0 b 0
0 b c 0 b 0
b 0 0 0 0 b
b 0 c 0 0 b
b b 0 0 b b
b b c 0 b b
0 a 0 0 a 0
0 a c 0 a 0
0 c 0 0 c 0
0 c c 0 c 0
b a 0 0 a b
b a c 0 a b
b c 0 0 c b
b c c 0 c b
a 0 0 0 0 a
a 0 c 0 0 a
a b 0 0 b a
a b c 0 b a
c 0 0 0 0 c
c 0 c 0 0 c
c b 0 0 b c
c b c 0 b c
a a 0 0 a a
a a c 0 a a
a c 0 0 c a
a c c 0 c a
c a 0 0 a c
c a c 0 a c
c c 0 0 c c
c c c 0 c c

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 6x2 + 6x3 + 9x4 + 9x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)4 (X_b)2 + (X_0)3 (X_b)2 (X_c)1 + (X_0)4 (X_b)2 + (X_0)3 (X_b)2 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_b)4 (X_c)1 + (X_0)4 (X_a)2 + (X_0)3 (X_a)2 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_b)2 (X_c)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)4 (X_a)2 + (X_0)3 (X_a)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_b)2 (X_c)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)4 + (X_0)1 (X_a)4 (X_c)1 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0
0 0 a 0 0 0
0 0 a a 0 0
0 0 a b 0 0
0 0 a c 0 0
0 0 b 0 0 0
0 0 b a 0 0
0 0 b b 0 0
0 0 b c 0 0
0 0 c 0 0 0
0 0 c a 0 0
0 0 c b 0 0
0 0 c c 0 0

Is it a nice code?: No

Generator Matrix-82

a 0 0 0 0 a
0 a 0 0 a 0
b 0 0 0 0 b
0 b 0 0 b 0
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b 0 0 b 0
0 b c 0 b c
b 0 0 0 0 b
b 0 c 0 0 a
b b 0 0 b b
b b c 0 b a
0 a 0 0 a 0
0 a c 0 a c
0 c 0 0 c 0
0 c c 0 c c
b a 0 0 a b
b a c 0 a a
b c 0 0 c b
b c c 0 c a
a 0 0 0 0 a
a 0 c 0 0 b
a b 0 0 b a
a b c 0 b b
c 0 0 0 0 c
c 0 c 0 0 0
c b 0 0 b c
c b c 0 b 0
a a 0 0 a a
a a c 0 a b
a c 0 0 c a
a c c 0 c b
c a 0 0 a c
c a c 0 a 0
c c 0 0 c c
c c c 0 c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 8x2 + 2x3 + 15x4 + 6x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)4 (X_b)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_a)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0
0 0 a 0 0 0
0 0 a a 0 0
0 0 a b 0 0
0 0 a c 0 0
0 0 b 0 0 0
0 0 b a 0 0
0 0 b b 0 0
0 0 b c 0 0
0 0 c 0 0 0
0 0 c a 0 0
0 0 c b 0 0
0 0 c c 0 0

Is it a nice code?: No

Generator Matrix-83

a 0 0 0 0 a
0 a 0 0 a 0
b 0 0 0 0 b
0 b 0 0 b 0
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b 0 0 b 0
0 b c 0 a 0
b 0 0 0 0 b
b 0 c 0 c b
b b 0 0 b b
b b c 0 a b
0 a 0 0 a 0
0 a c 0 b 0
0 c 0 0 c 0
0 c c 0 0 0
b a 0 0 a b
b a c 0 b b
b c 0 0 c b
b c c 0 0 b
a 0 0 0 0 a
a 0 c 0 c a
a b 0 0 b a
a b c 0 a a
c 0 0 0 0 c
c 0 c 0 c c
c b 0 0 b c
c b c 0 a c
a a 0 0 a a
a a c 0 b a
a c 0 0 c a
a c c 0 0 a
c a 0 0 a c
c a c 0 b c
c c 0 0 c c
c c c 0 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 8x2 + 2x3 + 15x4 + 6x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_b)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)4 (X_a)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0
0 0 a 0 0 0
0 0 a a 0 0
0 0 a b 0 0
0 0 a c 0 0
0 0 b 0 0 0
0 0 b a 0 0
0 0 b b 0 0
0 0 b c 0 0
0 0 c 0 0 0
0 0 c a 0 0
0 0 c b 0 0
0 0 c c 0 0

Is it a nice code?: No

Generator Matrix-84

a 0 0 0 0 a
0 a 0 0 a 0
b 0 0 0 0 b
0 b 0 0 b 0
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b 0 0 b 0
0 b c 0 a c
b 0 0 0 0 b
b 0 c 0 c a
b b 0 0 b b
b b c 0 a a
0 a 0 0 a 0
0 a c 0 b c
0 c 0 0 c 0
0 c c 0 0 c
b a 0 0 a b
b a c 0 b a
b c 0 0 c b
b c c 0 0 a
a 0 0 0 0 a
a 0 c 0 c b
a b 0 0 b a
a b c 0 a b
c 0 0 0 0 c
c 0 c 0 c 0
c b 0 0 b c
c b c 0 a 0
a a 0 0 a a
a a c 0 b b
a c 0 0 c a
a c c 0 0 b
c a 0 0 a c
c a c 0 b 0
c c 0 0 c c
c c c 0 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 6x2 + 4x3 + 17x4 + 4x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0
0 0 a 0 0 0
0 0 a a 0 0
0 0 a b 0 0
0 0 a c 0 0
0 0 b 0 0 0
0 0 b a 0 0
0 0 b b 0 0
0 0 b c 0 0
0 0 c 0 0 0
0 0 c a 0 0
0 0 c b 0 0
0 0 c c 0 0

Is it a nice code?: No

Generator Matrix-85

a 0 0 0 0 a
0 a 0 0 a 0
b 0 0 0 0 b
0 b 0 0 b 0
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b 0 0 b 0
0 b c c b 0
b 0 0 0 0 b
b 0 c c 0 b
b b 0 0 b b
b b c c b b
0 a 0 0 a 0
0 a c c a 0
0 c 0 0 c 0
0 c c c c 0
b a 0 0 a b
b a c c a b
b c 0 0 c b
b c c c c b
a 0 0 0 0 a
a 0 c c 0 a
a b 0 0 b a
a b c c b a
c 0 0 0 0 c
c 0 c c 0 c
c b 0 0 b c
c b c c b c
a a 0 0 a a
a a c c a a
a c 0 0 c a
a c c c c a
c a 0 0 a c
c a c c a c
c c 0 0 c c
c c c c c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 7x2 + 0x3 + 15x4 + 0x5 + 9x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_b)4 + (X_b)4 (X_c)2 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_a)2 (X_b)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_b)2 (X_c)2 + (X_b)2 (X_c)4 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_b)2 (X_c)2 + (X_b)2 (X_c)4 + (X_0)2 (X_a)4 + (X_a)4 (X_c)2 + (X_0)2 (X_a)2 (X_c)2 + (X_a)2 (X_c)4 + (X_0)2 (X_a)2 (X_c)2 + (X_a)2 (X_c)4 + (X_0)2 (X_c)4 + (X_c)6

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0
0 0 a 0 0 0
0 0 a a 0 0
0 0 a b 0 0
0 0 a c 0 0
0 0 b 0 0 0
0 0 b a 0 0
0 0 b b 0 0
0 0 b c 0 0
0 0 c 0 0 0
0 0 c a 0 0
0 0 c b 0 0
0 0 c c 0 0

Is it a nice code?: No

Generator Matrix-86

a 0 0 0 0 a
0 a 0 0 a 0
b 0 0 0 0 b
0 b 0 0 b 0
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b 0 0 b 0
0 b c c b c
b 0 0 0 0 b
b 0 c c 0 a
b b 0 0 b b
b b c c b a
0 a 0 0 a 0
0 a c c a c
0 c 0 0 c 0
0 c c c c c
b a 0 0 a b
b a c c a a
b c 0 0 c b
b c c c c a
a 0 0 0 0 a
a 0 c c 0 b
a b 0 0 b a
a b c c b b
c 0 0 0 0 c
c 0 c c 0 0
c b 0 0 b c
c b c c b 0
a a 0 0 a a
a a c c a b
a c 0 0 c a
a c c c c b
c a 0 0 a c
c a c c a 0
c c 0 0 c c
c c c c c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 6x2 + 2x3 + 11x4 + 6x5 + 6x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)4 (X_b)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_b)4 + (X_a)1 (X_b)3 (X_c)2 + (X_0)4 (X_a)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5 + (X_0)2 (X_a)2 (X_b)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_b)2 (X_c)2 + (X_a)1 (X_b)1 (X_c)4 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_b)2 (X_c)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)4 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_c)2 + (X_a)1 (X_b)1 (X_c)4 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0
0 0 a 0 0 0
0 0 a a 0 0
0 0 a b 0 0
0 0 a c 0 0
0 0 b 0 0 0
0 0 b a 0 0
0 0 b b 0 0
0 0 b c 0 0
0 0 c 0 0 0
0 0 c a 0 0
0 0 c b 0 0
0 0 c c 0 0

Is it a nice code?: No

Generator Matrix-87

a 0 0 0 0 a
0 a 0 0 a 0
b 0 0 0 0 b
0 b 0 0 b 0
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b 0 0 b 0
0 b c c a 0
b 0 0 0 0 b
b 0 c c c b
b b 0 0 b b
b b c c a b
0 a 0 0 a 0
0 a c c b 0
0 c 0 0 c 0
0 c c c 0 0
b a 0 0 a b
b a c c b b
b c 0 0 c b
b c c c 0 b
a 0 0 0 0 a
a 0 c c c a
a b 0 0 b a
a b c c a a
c 0 0 0 0 c
c 0 c c c c
c b 0 0 b c
c b c c a c
a a 0 0 a a
a a c c b a
a c 0 0 c a
a c c c 0 a
c a 0 0 a c
c a c c b c
c c 0 0 c c
c c c c 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 6x2 + 2x3 + 11x4 + 6x5 + 6x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_b)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)2 (X_b)4 + (X_a)1 (X_b)3 (X_c)2 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_a)2 (X_b)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)4 (X_a)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)2 (X_a)2 (X_b)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5 + (X_0)2 (X_b)2 (X_c)2 + (X_a)1 (X_b)1 (X_c)4 + (X_0)2 (X_a)4 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)2 (X_a)2 (X_c)2 + (X_a)1 (X_b)1 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0
0 0 a 0 0 0
0 0 a a 0 0
0 0 a b 0 0
0 0 a c 0 0
0 0 b 0 0 0
0 0 b a 0 0
0 0 b b 0 0
0 0 b c 0 0
0 0 c 0 0 0
0 0 c a 0 0
0 0 c b 0 0
0 0 c c 0 0

Is it a nice code?: No

Generator Matrix-88

a 0 0 0 0 a
0 a 0 0 a 0
b 0 0 0 0 b
0 b 0 0 b 0
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b 0 0 b 0
0 b c c a c
b 0 0 0 0 b
b 0 c c c a
b b 0 0 b b
b b c c a a
0 a 0 0 a 0
0 a c c b c
0 c 0 0 c 0
0 c c c 0 c
b a 0 0 a b
b a c c b a
b c 0 0 c b
b c c c 0 a
a 0 0 0 0 a
a 0 c c c b
a b 0 0 b a
a b c c a b
c 0 0 0 0 c
c 0 c c c 0
c b 0 0 b c
c b c c a 0
a a 0 0 a a
a a c c b b
a c 0 0 c a
a c c c 0 b
c a 0 0 a c
c a c c b 0
c c 0 0 c c
c c c c 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 6x2 + 0x3 + 13x4 + 8x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)4 (X_b)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_b)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_b)4 + (X_a)2 (X_b)2 (X_c)2 + (X_0)4 (X_a)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_a)2 (X_b)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_a)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)2 (X_b)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)4 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0
0 0 a 0 0 0
0 0 a a 0 0
0 0 a b 0 0
0 0 a c 0 0
0 0 b 0 0 0
0 0 b a 0 0
0 0 b b 0 0
0 0 b c 0 0
0 0 c 0 0 0
0 0 c a 0 0
0 0 c b 0 0
0 0 c c 0 0

Is it a nice code?: No

Generator Matrix-89

a 0 0 0 0 a
0 a 0 0 a a
b 0 0 0 0 b
0 b 0 0 b b
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b 0 0 b b
0 b c 0 b b
b 0 0 0 0 b
b 0 c 0 0 b
b b 0 0 b 0
b b c 0 b 0
0 a 0 0 a a
0 a c 0 a a
0 c 0 0 c c
0 c c 0 c c
b a 0 0 a c
b a c 0 a c
b c 0 0 c a
b c c 0 c a
a 0 0 0 0 a
a 0 c 0 0 a
a b 0 0 b c
a b c 0 b c
c 0 0 0 0 c
c 0 c 0 0 c
c b 0 0 b a
c b c 0 b a
a a 0 0 a 0
a a c 0 a 0
a c 0 0 c b
a c c 0 c b
c a 0 0 a b
c a c 0 a b
c c 0 0 c 0
c c c 0 c 0

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 3x2 + 9x3 + 12x4 + 6x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_b)3 (X_c)1 + (X_0)4 (X_b)2 + (X_0)3 (X_b)2 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_b)3 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)3 (X_c)1 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_a)2 + (X_0)3 (X_a)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)3 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0
0 0 a 0 0 0
0 0 a a 0 0
0 0 a b 0 0
0 0 a c 0 0
0 0 b 0 0 0
0 0 b a 0 0
0 0 b b 0 0
0 0 b c 0 0
0 0 c 0 0 0
0 0 c a 0 0
0 0 c b 0 0
0 0 c c 0 0

Is it a nice code?: No

Generator Matrix-90

a 0 0 0 0 a
0 a 0 0 a a
b 0 0 0 0 b
0 b 0 0 b b
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b 0 0 b b
0 b c 0 b a
b 0 0 0 0 b
b 0 c 0 0 a
b b 0 0 b 0
b b c 0 b c
0 a 0 0 a a
0 a c 0 a b
0 c 0 0 c c
0 c c 0 c 0
b a 0 0 a c
b a c 0 a 0
b c 0 0 c a
b c c 0 c b
a 0 0 0 0 a
a 0 c 0 0 b
a b 0 0 b c
a b c 0 b 0
c 0 0 0 0 c
c 0 c 0 0 0
c b 0 0 b a
c b c 0 b b
a a 0 0 a 0
a a c 0 a c
a c 0 0 c b
a c c 0 c a
c a 0 0 a b
c a c 0 a a
c c 0 0 c 0
c c c 0 c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 5x2 + 9x3 + 10x4 + 7x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)4 (X_b)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)3 (X_b)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)4 (X_a)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0
0 0 a 0 0 0
0 0 a a 0 0
0 0 a b 0 0
0 0 a c 0 0
0 0 b 0 0 0
0 0 b a 0 0
0 0 b b 0 0
0 0 b c 0 0
0 0 c 0 0 0
0 0 c a 0 0
0 0 c b 0 0
0 0 c c 0 0

Is it a nice code?: No

Generator Matrix-91

a 0 0 0 0 a
0 a 0 0 a a
b 0 0 0 0 b
0 b 0 0 b b
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b 0 0 b b
0 b c 0 a b
b 0 0 0 0 b
b 0 c 0 c b
b b 0 0 b 0
b b c 0 a 0
0 a 0 0 a a
0 a c 0 b a
0 c 0 0 c c
0 c c 0 0 c
b a 0 0 a c
b a c 0 b c
b c 0 0 c a
b c c 0 0 a
a 0 0 0 0 a
a 0 c 0 c a
a b 0 0 b c
a b c 0 a c
c 0 0 0 0 c
c 0 c 0 c c
c b 0 0 b a
c b c 0 a a
a a 0 0 a 0
a a c 0 b 0
a c 0 0 c b
a c c 0 0 b
c a 0 0 a b
c a c 0 b b
c c 0 0 c 0
c c c 0 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 8x3 + 15x4 + 4x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0
0 0 a 0 0 0
0 0 a a 0 0
0 0 a b 0 0
0 0 a c 0 0
0 0 b 0 0 0
0 0 b a 0 0
0 0 b b 0 0
0 0 b c 0 0
0 0 c 0 0 0
0 0 c a 0 0
0 0 c b 0 0
0 0 c c 0 0

Is it a nice code?: No

Generator Matrix-92

a 0 0 0 0 a
0 a 0 0 a a
b 0 0 0 0 b
0 b 0 0 b b
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b 0 0 b b
0 b c 0 a a
b 0 0 0 0 b
b 0 c 0 c a
b b 0 0 b 0
b b c 0 a c
0 a 0 0 a a
0 a c 0 b b
0 c 0 0 c c
0 c c 0 0 0
b a 0 0 a c
b a c 0 b 0
b c 0 0 c a
b c c 0 0 b
a 0 0 0 0 a
a 0 c 0 c b
a b 0 0 b c
a b c 0 a 0
c 0 0 0 0 c
c 0 c 0 c 0
c b 0 0 b a
c b c 0 a b
a a 0 0 a 0
a a c 0 b c
a c 0 0 c b
a c c 0 0 a
c a 0 0 a b
c a c 0 b a
c c 0 0 c 0
c c c 0 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 8x3 + 15x4 + 4x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0
0 0 a 0 0 0
0 0 a a 0 0
0 0 a b 0 0
0 0 a c 0 0
0 0 b 0 0 0
0 0 b a 0 0
0 0 b b 0 0
0 0 b c 0 0
0 0 c 0 0 0
0 0 c a 0 0
0 0 c b 0 0
0 0 c c 0 0

Is it a nice code?: No

Generator Matrix-93

a 0 0 0 0 a
0 a 0 0 a a
b 0 0 0 0 b
0 b 0 0 b b
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b 0 0 b b
0 b c c b b
b 0 0 0 0 b
b 0 c c 0 b
b b 0 0 b 0
b b c c b 0
0 a 0 0 a a
0 a c c a a
0 c 0 0 c c
0 c c c c c
b a 0 0 a c
b a c c a c
b c 0 0 c a
b c c c c a
a 0 0 0 0 a
a 0 c c 0 a
a b 0 0 b c
a b c c b c
c 0 0 0 0 c
c 0 c c 0 c
c b 0 0 b a
c b c c b a
a a 0 0 a 0
a a c c a 0
a c 0 0 c b
a c c c c b
c a 0 0 a b
c a c c a b
c c 0 0 c 0
c c c c c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 6x3 + 9x4 + 6x5 + 6x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)3 (X_b)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_a)1 (X_b)1 (X_c)4 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_a)1 (X_b)1 (X_c)4 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0
0 0 a 0 0 0
0 0 a a 0 0
0 0 a b 0 0
0 0 a c 0 0
0 0 b 0 0 0
0 0 b a 0 0
0 0 b b 0 0
0 0 b c 0 0
0 0 c 0 0 0
0 0 c a 0 0
0 0 c b 0 0
0 0 c c 0 0

Is it a nice code?: No

Generator Matrix-94

a 0 0 0 0 a
0 a 0 0 a a
b 0 0 0 0 b
0 b 0 0 b b
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b 0 0 b b
0 b c c b a
b 0 0 0 0 b
b 0 c c 0 a
b b 0 0 b 0
b b c c b c
0 a 0 0 a a
0 a c c a b
0 c 0 0 c c
0 c c c c 0
b a 0 0 a c
b a c c a 0
b c 0 0 c a
b c c c c b
a 0 0 0 0 a
a 0 c c 0 b
a b 0 0 b c
a b c c b 0
c 0 0 0 0 c
c 0 c c 0 0
c b 0 0 b a
c b c c b b
a a 0 0 a 0
a a c c a c
a c 0 0 c b
a c c c c a
c a 0 0 a b
c a c c a a
c c 0 0 c 0
c c c c c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 8x3 + 9x4 + 4x5 + 7x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_b)3 + (X_b)3 (X_c)3 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_b)2 (X_c)4 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_b)3 (X_c)3 + (X_0)3 (X_a)3 + (X_a)3 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_a)2 (X_c)4 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)3 (X_c)3 + (X_0)3 (X_c)3 + (X_c)6

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0
0 0 a 0 0 0
0 0 a a 0 0
0 0 a b 0 0
0 0 a c 0 0
0 0 b 0 0 0
0 0 b a 0 0
0 0 b b 0 0
0 0 b c 0 0
0 0 c 0 0 0
0 0 c a 0 0
0 0 c b 0 0
0 0 c c 0 0

Is it a nice code?: No

Generator Matrix-95

a 0 0 0 0 a
0 a 0 0 a a
b 0 0 0 0 b
0 b 0 0 b b
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b 0 0 b b
0 b c c a b
b 0 0 0 0 b
b 0 c c c b
b b 0 0 b 0
b b c c a 0
0 a 0 0 a a
0 a c c b a
0 c 0 0 c c
0 c c c 0 c
b a 0 0 a c
b a c c b c
b c 0 0 c a
b c c c 0 a
a 0 0 0 0 a
a 0 c c c a
a b 0 0 b c
a b c c a c
c 0 0 0 0 c
c 0 c c c c
c b 0 0 b a
c b c c a a
a a 0 0 a 0
a a c c b 0
a c 0 0 c b
a c c c 0 b
c a 0 0 a b
c a c c b b
c c 0 0 c 0
c c c c 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 7x3 + 8x4 + 9x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)4 (X_b)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_a)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0
0 0 a 0 0 0
0 0 a a 0 0
0 0 a b 0 0
0 0 a c 0 0
0 0 b 0 0 0
0 0 b a 0 0
0 0 b b 0 0
0 0 b c 0 0
0 0 c 0 0 0
0 0 c a 0 0
0 0 c b 0 0
0 0 c c 0 0

Is it a nice code?: No

Generator Matrix-96

a 0 0 0 0 a
0 a 0 0 a a
b 0 0 0 0 b
0 b 0 0 b b
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b 0 0 b b
0 b c c a a
b 0 0 0 0 b
b 0 c c c a
b b 0 0 b 0
b b c c a c
0 a 0 0 a a
0 a c c b b
0 c 0 0 c c
0 c c c 0 0
b a 0 0 a c
b a c c b 0
b c 0 0 c a
b c c c 0 b
a 0 0 0 0 a
a 0 c c c b
a b 0 0 b c
a b c c a 0
c 0 0 0 0 c
c 0 c c c 0
c b 0 0 b a
c b c c a b
a a 0 0 a 0
a a c c b c
a c 0 0 c b
a c c c 0 a
c a 0 0 a b
c a c c b a
c c 0 0 c 0
c c c c 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 7x3 + 8x4 + 9x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)3 (X_b)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)4 (X_b)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_b)3 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)4 (X_a)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)3 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0
0 0 a 0 0 0
0 0 a a 0 0
0 0 a b 0 0
0 0 a c 0 0
0 0 b 0 0 0
0 0 b a 0 0
0 0 b b 0 0
0 0 b c 0 0
0 0 c 0 0 0
0 0 c a 0 0
0 0 c b 0 0
0 0 c c 0 0

Is it a nice code?: No

Generator Matrix-97

a 0 0 0 0 a
0 a 0 a 0 0
b 0 0 0 0 b
0 b 0 b 0 0
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b 0 b 0 0
0 b c b 0 0
b 0 0 0 0 b
b 0 c 0 0 b
b b 0 b 0 b
b b c b 0 b
0 a 0 a 0 0
0 a c a 0 0
0 c 0 c 0 0
0 c c c 0 0
b a 0 a 0 b
b a c a 0 b
b c 0 c 0 b
b c c c 0 b
a 0 0 0 0 a
a 0 c 0 0 a
a b 0 b 0 a
a b c b 0 a
c 0 0 0 0 c
c 0 c 0 0 c
c b 0 b 0 c
c b c b 0 c
a a 0 a 0 a
a a c a 0 a
a c 0 c 0 a
a c c c 0 a
c a 0 a 0 c
c a c a 0 c
c c 0 c 0 c
c c c c 0 c

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 6x2 + 6x3 + 9x4 + 9x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)4 (X_b)2 + (X_0)3 (X_b)2 (X_c)1 + (X_0)4 (X_b)2 + (X_0)3 (X_b)2 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_b)4 (X_c)1 + (X_0)4 (X_a)2 + (X_0)3 (X_a)2 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_b)2 (X_c)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)4 (X_a)2 + (X_0)3 (X_a)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_b)2 (X_c)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)4 + (X_0)1 (X_a)4 (X_c)1 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 a 0 0 0
0 0 a 0 a 0
0 0 a 0 b 0
0 0 a 0 c 0
0 0 b 0 0 0
0 0 b 0 a 0
0 0 b 0 b 0
0 0 b 0 c 0
0 0 c 0 0 0
0 0 c 0 a 0
0 0 c 0 b 0
0 0 c 0 c 0

Is it a nice code?: No

Generator Matrix-98

a 0 0 0 0 a
0 a 0 a 0 0
b 0 0 0 0 b
0 b 0 b 0 0
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b 0 b 0 0
0 b c b 0 c
b 0 0 0 0 b
b 0 c 0 0 a
b b 0 b 0 b
b b c b 0 a
0 a 0 a 0 0
0 a c a 0 c
0 c 0 c 0 0
0 c c c 0 c
b a 0 a 0 b
b a c a 0 a
b c 0 c 0 b
b c c c 0 a
a 0 0 0 0 a
a 0 c 0 0 b
a b 0 b 0 a
a b c b 0 b
c 0 0 0 0 c
c 0 c 0 0 0
c b 0 b 0 c
c b c b 0 0
a a 0 a 0 a
a a c a 0 b
a c 0 c 0 a
a c c c 0 b
c a 0 a 0 c
c a c a 0 0
c c 0 c 0 c
c c c c 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 8x2 + 2x3 + 15x4 + 6x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)4 (X_b)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_a)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 a 0 0 0
0 0 a 0 a 0
0 0 a 0 b 0
0 0 a 0 c 0
0 0 b 0 0 0
0 0 b 0 a 0
0 0 b 0 b 0
0 0 b 0 c 0
0 0 c 0 0 0
0 0 c 0 a 0
0 0 c 0 b 0
0 0 c 0 c 0

Is it a nice code?: No

Generator Matrix-99

a 0 0 0 0 a
0 a 0 a 0 0
b 0 0 0 0 b
0 b 0 b 0 0
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b 0 b 0 0
0 b c b c 0
b 0 0 0 0 b
b 0 c 0 c b
b b 0 b 0 b
b b c b c b
0 a 0 a 0 0
0 a c a c 0
0 c 0 c 0 0
0 c c c c 0
b a 0 a 0 b
b a c a c b
b c 0 c 0 b
b c c c c b
a 0 0 0 0 a
a 0 c 0 c a
a b 0 b 0 a
a b c b c a
c 0 0 0 0 c
c 0 c 0 c c
c b 0 b 0 c
c b c b c c
a a 0 a 0 a
a a c a c a
a c 0 c 0 a
a c c c c a
c a 0 a 0 c
c a c a c c
c c 0 c 0 c
c c c c c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 7x2 + 0x3 + 15x4 + 0x5 + 9x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_b)4 + (X_b)4 (X_c)2 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_a)2 (X_b)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_b)2 (X_c)2 + (X_b)2 (X_c)4 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_b)2 (X_c)2 + (X_b)2 (X_c)4 + (X_0)2 (X_a)4 + (X_a)4 (X_c)2 + (X_0)2 (X_a)2 (X_c)2 + (X_a)2 (X_c)4 + (X_0)2 (X_a)2 (X_c)2 + (X_a)2 (X_c)4 + (X_0)2 (X_c)4 + (X_c)6

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 a 0 0 0
0 0 a 0 a 0
0 0 a 0 b 0
0 0 a 0 c 0
0 0 b 0 0 0
0 0 b 0 a 0
0 0 b 0 b 0
0 0 b 0 c 0
0 0 c 0 0 0
0 0 c 0 a 0
0 0 c 0 b 0
0 0 c 0 c 0

Is it a nice code?: No

Generator Matrix-100

a 0 0 0 0 a
0 a 0 a 0 0
b 0 0 0 0 b
0 b 0 b 0 0
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b 0 b 0 0
0 b c b c c
b 0 0 0 0 b
b 0 c 0 c a
b b 0 b 0 b
b b c b c a
0 a 0 a 0 0
0 a c a c c
0 c 0 c 0 0
0 c c c c c
b a 0 a 0 b
b a c a c a
b c 0 c 0 b
b c c c c a
a 0 0 0 0 a
a 0 c 0 c b
a b 0 b 0 a
a b c b c b
c 0 0 0 0 c
c 0 c 0 c 0
c b 0 b 0 c
c b c b c 0
a a 0 a 0 a
a a c a c b
a c 0 c 0 a
a c c c c b
c a 0 a 0 c
c a c a c 0
c c 0 c 0 c
c c c c c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 6x2 + 2x3 + 11x4 + 6x5 + 6x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)4 (X_b)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_b)4 + (X_a)1 (X_b)3 (X_c)2 + (X_0)4 (X_a)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5 + (X_0)2 (X_a)2 (X_b)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_b)2 (X_c)2 + (X_a)1 (X_b)1 (X_c)4 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_b)2 (X_c)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)4 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_c)2 + (X_a)1 (X_b)1 (X_c)4 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 a 0 0 0
0 0 a 0 a 0
0 0 a 0 b 0
0 0 a 0 c 0
0 0 b 0 0 0
0 0 b 0 a 0
0 0 b 0 b 0
0 0 b 0 c 0
0 0 c 0 0 0
0 0 c 0 a 0
0 0 c 0 b 0
0 0 c 0 c 0

Is it a nice code?: No

Generator Matrix-101

a 0 0 0 0 a
0 a 0 a 0 0
b 0 0 0 0 b
0 b 0 b 0 0
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b 0 b 0 0
0 b c a 0 0
b 0 0 0 0 b
b 0 c c 0 b
b b 0 b 0 b
b b c a 0 b
0 a 0 a 0 0
0 a c b 0 0
0 c 0 c 0 0
0 c c 0 0 0
b a 0 a 0 b
b a c b 0 b
b c 0 c 0 b
b c c 0 0 b
a 0 0 0 0 a
a 0 c c 0 a
a b 0 b 0 a
a b c a 0 a
c 0 0 0 0 c
c 0 c c 0 c
c b 0 b 0 c
c b c a 0 c
a a 0 a 0 a
a a c b 0 a
a c 0 c 0 a
a c c 0 0 a
c a 0 a 0 c
c a c b 0 c
c c 0 c 0 c
c c c 0 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 8x2 + 2x3 + 15x4 + 6x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_b)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)4 (X_a)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 a 0 0 0
0 0 a 0 a 0
0 0 a 0 b 0
0 0 a 0 c 0
0 0 b 0 0 0
0 0 b 0 a 0
0 0 b 0 b 0
0 0 b 0 c 0
0 0 c 0 0 0
0 0 c 0 a 0
0 0 c 0 b 0
0 0 c 0 c 0

Is it a nice code?: No

Generator Matrix-102

a 0 0 0 0 a
0 a 0 a 0 0
b 0 0 0 0 b
0 b 0 b 0 0
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b 0 b 0 0
0 b c a 0 c
b 0 0 0 0 b
b 0 c c 0 a
b b 0 b 0 b
b b c a 0 a
0 a 0 a 0 0
0 a c b 0 c
0 c 0 c 0 0
0 c c 0 0 c
b a 0 a 0 b
b a c b 0 a
b c 0 c 0 b
b c c 0 0 a
a 0 0 0 0 a
a 0 c c 0 b
a b 0 b 0 a
a b c a 0 b
c 0 0 0 0 c
c 0 c c 0 0
c b 0 b 0 c
c b c a 0 0
a a 0 a 0 a
a a c b 0 b
a c 0 c 0 a
a c c 0 0 b
c a 0 a 0 c
c a c b 0 0
c c 0 c 0 c
c c c 0 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 6x2 + 4x3 + 17x4 + 4x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 a 0 0 0
0 0 a 0 a 0
0 0 a 0 b 0
0 0 a 0 c 0
0 0 b 0 0 0
0 0 b 0 a 0
0 0 b 0 b 0
0 0 b 0 c 0
0 0 c 0 0 0
0 0 c 0 a 0
0 0 c 0 b 0
0 0 c 0 c 0

Is it a nice code?: No

Generator Matrix-103

a 0 0 0 0 a
0 a 0 a 0 0
b 0 0 0 0 b
0 b 0 b 0 0
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b 0 b 0 0
0 b c a c 0
b 0 0 0 0 b
b 0 c c c b
b b 0 b 0 b
b b c a c b
0 a 0 a 0 0
0 a c b c 0
0 c 0 c 0 0
0 c c 0 c 0
b a 0 a 0 b
b a c b c b
b c 0 c 0 b
b c c 0 c b
a 0 0 0 0 a
a 0 c c c a
a b 0 b 0 a
a b c a c a
c 0 0 0 0 c
c 0 c c c c
c b 0 b 0 c
c b c a c c
a a 0 a 0 a
a a c b c a
a c 0 c 0 a
a c c 0 c a
c a 0 a 0 c
c a c b c c
c c 0 c 0 c
c c c 0 c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 6x2 + 2x3 + 11x4 + 6x5 + 6x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_b)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)2 (X_b)4 + (X_a)1 (X_b)3 (X_c)2 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_a)2 (X_b)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)4 (X_a)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)2 (X_a)2 (X_b)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5 + (X_0)2 (X_b)2 (X_c)2 + (X_a)1 (X_b)1 (X_c)4 + (X_0)2 (X_a)4 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)2 (X_a)2 (X_c)2 + (X_a)1 (X_b)1 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 a 0 0 0
0 0 a 0 a 0
0 0 a 0 b 0
0 0 a 0 c 0
0 0 b 0 0 0
0 0 b 0 a 0
0 0 b 0 b 0
0 0 b 0 c 0
0 0 c 0 0 0
0 0 c 0 a 0
0 0 c 0 b 0
0 0 c 0 c 0

Is it a nice code?: No

Generator Matrix-104

a 0 0 0 0 a
0 a 0 a 0 0
b 0 0 0 0 b
0 b 0 b 0 0
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b 0 b 0 0
0 b c a c c
b 0 0 0 0 b
b 0 c c c a
b b 0 b 0 b
b b c a c a
0 a 0 a 0 0
0 a c b c c
0 c 0 c 0 0
0 c c 0 c c
b a 0 a 0 b
b a c b c a
b c 0 c 0 b
b c c 0 c a
a 0 0 0 0 a
a 0 c c c b
a b 0 b 0 a
a b c a c b
c 0 0 0 0 c
c 0 c c c 0
c b 0 b 0 c
c b c a c 0
a a 0 a 0 a
a a c b c b
a c 0 c 0 a
a c c 0 c b
c a 0 a 0 c
c a c b c 0
c c 0 c 0 c
c c c 0 c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 6x2 + 0x3 + 13x4 + 8x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)4 (X_b)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_b)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_b)4 + (X_a)2 (X_b)2 (X_c)2 + (X_0)4 (X_a)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_a)2 (X_b)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_a)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)2 (X_b)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)4 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 a 0 0 0
0 0 a 0 a 0
0 0 a 0 b 0
0 0 a 0 c 0
0 0 b 0 0 0
0 0 b 0 a 0
0 0 b 0 b 0
0 0 b 0 c 0
0 0 c 0 0 0
0 0 c 0 a 0
0 0 c 0 b 0
0 0 c 0 c 0

Is it a nice code?: No

Generator Matrix-105

a 0 0 0 0 a
0 a 0 a 0 a
b 0 0 0 0 b
0 b 0 b 0 b
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b 0 b 0 b
0 b c b 0 b
b 0 0 0 0 b
b 0 c 0 0 b
b b 0 b 0 0
b b c b 0 0
0 a 0 a 0 a
0 a c a 0 a
0 c 0 c 0 c
0 c c c 0 c
b a 0 a 0 c
b a c a 0 c
b c 0 c 0 a
b c c c 0 a
a 0 0 0 0 a
a 0 c 0 0 a
a b 0 b 0 c
a b c b 0 c
c 0 0 0 0 c
c 0 c 0 0 c
c b 0 b 0 a
c b c b 0 a
a a 0 a 0 0
a a c a 0 0
a c 0 c 0 b
a c c c 0 b
c a 0 a 0 b
c a c a 0 b
c c 0 c 0 0
c c c c 0 0

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 3x2 + 9x3 + 12x4 + 6x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_b)3 (X_c)1 + (X_0)4 (X_b)2 + (X_0)3 (X_b)2 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_b)3 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)3 (X_c)1 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_a)2 + (X_0)3 (X_a)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)3 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 a 0 0 0
0 0 a 0 a 0
0 0 a 0 b 0
0 0 a 0 c 0
0 0 b 0 0 0
0 0 b 0 a 0
0 0 b 0 b 0
0 0 b 0 c 0
0 0 c 0 0 0
0 0 c 0 a 0
0 0 c 0 b 0
0 0 c 0 c 0

Is it a nice code?: No

Generator Matrix-106

a 0 0 0 0 a
0 a 0 a 0 a
b 0 0 0 0 b
0 b 0 b 0 b
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b 0 b 0 b
0 b c b 0 a
b 0 0 0 0 b
b 0 c 0 0 a
b b 0 b 0 0
b b c b 0 c
0 a 0 a 0 a
0 a c a 0 b
0 c 0 c 0 c
0 c c c 0 0
b a 0 a 0 c
b a c a 0 0
b c 0 c 0 a
b c c c 0 b
a 0 0 0 0 a
a 0 c 0 0 b
a b 0 b 0 c
a b c b 0 0
c 0 0 0 0 c
c 0 c 0 0 0
c b 0 b 0 a
c b c b 0 b
a a 0 a 0 0
a a c a 0 c
a c 0 c 0 b
a c c c 0 a
c a 0 a 0 b
c a c a 0 a
c c 0 c 0 0
c c c c 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 5x2 + 9x3 + 10x4 + 7x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)4 (X_b)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)3 (X_b)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)4 (X_a)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 a 0 0 0
0 0 a 0 a 0
0 0 a 0 b 0
0 0 a 0 c 0
0 0 b 0 0 0
0 0 b 0 a 0
0 0 b 0 b 0
0 0 b 0 c 0
0 0 c 0 0 0
0 0 c 0 a 0
0 0 c 0 b 0
0 0 c 0 c 0

Is it a nice code?: No

Generator Matrix-107

a 0 0 0 0 a
0 a 0 a 0 a
b 0 0 0 0 b
0 b 0 b 0 b
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b 0 b 0 b
0 b c b c b
b 0 0 0 0 b
b 0 c 0 c b
b b 0 b 0 0
b b c b c 0
0 a 0 a 0 a
0 a c a c a
0 c 0 c 0 c
0 c c c c c
b a 0 a 0 c
b a c a c c
b c 0 c 0 a
b c c c c a
a 0 0 0 0 a
a 0 c 0 c a
a b 0 b 0 c
a b c b c c
c 0 0 0 0 c
c 0 c 0 c c
c b 0 b 0 a
c b c b c a
a a 0 a 0 0
a a c a c 0
a c 0 c 0 b
a c c c c b
c a 0 a 0 b
c a c a c b
c c 0 c 0 0
c c c c c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 6x3 + 9x4 + 6x5 + 6x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)3 (X_b)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_a)1 (X_b)1 (X_c)4 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_a)1 (X_b)1 (X_c)4 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 a 0 0 0
0 0 a 0 a 0
0 0 a 0 b 0
0 0 a 0 c 0
0 0 b 0 0 0
0 0 b 0 a 0
0 0 b 0 b 0
0 0 b 0 c 0
0 0 c 0 0 0
0 0 c 0 a 0
0 0 c 0 b 0
0 0 c 0 c 0

Is it a nice code?: No

Generator Matrix-108

a 0 0 0 0 a
0 a 0 a 0 a
b 0 0 0 0 b
0 b 0 b 0 b
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b 0 b 0 b
0 b c b c a
b 0 0 0 0 b
b 0 c 0 c a
b b 0 b 0 0
b b c b c c
0 a 0 a 0 a
0 a c a c b
0 c 0 c 0 c
0 c c c c 0
b a 0 a 0 c
b a c a c 0
b c 0 c 0 a
b c c c c b
a 0 0 0 0 a
a 0 c 0 c b
a b 0 b 0 c
a b c b c 0
c 0 0 0 0 c
c 0 c 0 c 0
c b 0 b 0 a
c b c b c b
a a 0 a 0 0
a a c a c c
a c 0 c 0 b
a c c c c a
c a 0 a 0 b
c a c a c a
c c 0 c 0 0
c c c c c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 8x3 + 9x4 + 4x5 + 7x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_b)3 + (X_b)3 (X_c)3 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_b)2 (X_c)4 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_b)3 (X_c)3 + (X_0)3 (X_a)3 + (X_a)3 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_a)2 (X_c)4 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)3 (X_c)3 + (X_0)3 (X_c)3 + (X_c)6

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 a 0 0 0
0 0 a 0 a 0
0 0 a 0 b 0
0 0 a 0 c 0
0 0 b 0 0 0
0 0 b 0 a 0
0 0 b 0 b 0
0 0 b 0 c 0
0 0 c 0 0 0
0 0 c 0 a 0
0 0 c 0 b 0
0 0 c 0 c 0

Is it a nice code?: No

Generator Matrix-109

a 0 0 0 0 a
0 a 0 a 0 a
b 0 0 0 0 b
0 b 0 b 0 b
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b 0 b 0 b
0 b c a 0 b
b 0 0 0 0 b
b 0 c c 0 b
b b 0 b 0 0
b b c a 0 0
0 a 0 a 0 a
0 a c b 0 a
0 c 0 c 0 c
0 c c 0 0 c
b a 0 a 0 c
b a c b 0 c
b c 0 c 0 a
b c c 0 0 a
a 0 0 0 0 a
a 0 c c 0 a
a b 0 b 0 c
a b c a 0 c
c 0 0 0 0 c
c 0 c c 0 c
c b 0 b 0 a
c b c a 0 a
a a 0 a 0 0
a a c b 0 0
a c 0 c 0 b
a c c 0 0 b
c a 0 a 0 b
c a c b 0 b
c c 0 c 0 0
c c c 0 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 8x3 + 15x4 + 4x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 a 0 0 0
0 0 a 0 a 0
0 0 a 0 b 0
0 0 a 0 c 0
0 0 b 0 0 0
0 0 b 0 a 0
0 0 b 0 b 0
0 0 b 0 c 0
0 0 c 0 0 0
0 0 c 0 a 0
0 0 c 0 b 0
0 0 c 0 c 0

Is it a nice code?: No

Generator Matrix-110

a 0 0 0 0 a
0 a 0 a 0 a
b 0 0 0 0 b
0 b 0 b 0 b
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b 0 b 0 b
0 b c a 0 a
b 0 0 0 0 b
b 0 c c 0 a
b b 0 b 0 0
b b c a 0 c
0 a 0 a 0 a
0 a c b 0 b
0 c 0 c 0 c
0 c c 0 0 0
b a 0 a 0 c
b a c b 0 0
b c 0 c 0 a
b c c 0 0 b
a 0 0 0 0 a
a 0 c c 0 b
a b 0 b 0 c
a b c a 0 0
c 0 0 0 0 c
c 0 c c 0 0
c b 0 b 0 a
c b c a 0 b
a a 0 a 0 0
a a c b 0 c
a c 0 c 0 b
a c c 0 0 a
c a 0 a 0 b
c a c b 0 a
c c 0 c 0 0
c c c 0 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 8x3 + 15x4 + 4x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 a 0 0 0
0 0 a 0 a 0
0 0 a 0 b 0
0 0 a 0 c 0
0 0 b 0 0 0
0 0 b 0 a 0
0 0 b 0 b 0
0 0 b 0 c 0
0 0 c 0 0 0
0 0 c 0 a 0
0 0 c 0 b 0
0 0 c 0 c 0

Is it a nice code?: No

Generator Matrix-111

a 0 0 0 0 a
0 a 0 a 0 a
b 0 0 0 0 b
0 b 0 b 0 b
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b 0 b 0 b
0 b c a c b
b 0 0 0 0 b
b 0 c c c b
b b 0 b 0 0
b b c a c 0
0 a 0 a 0 a
0 a c b c a
0 c 0 c 0 c
0 c c 0 c c
b a 0 a 0 c
b a c b c c
b c 0 c 0 a
b c c 0 c a
a 0 0 0 0 a
a 0 c c c a
a b 0 b 0 c
a b c a c c
c 0 0 0 0 c
c 0 c c c c
c b 0 b 0 a
c b c a c a
a a 0 a 0 0
a a c b c 0
a c 0 c 0 b
a c c 0 c b
c a 0 a 0 b
c a c b c b
c c 0 c 0 0
c c c 0 c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 7x3 + 8x4 + 9x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)4 (X_b)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_a)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 a 0 0 0
0 0 a 0 a 0
0 0 a 0 b 0
0 0 a 0 c 0
0 0 b 0 0 0
0 0 b 0 a 0
0 0 b 0 b 0
0 0 b 0 c 0
0 0 c 0 0 0
0 0 c 0 a 0
0 0 c 0 b 0
0 0 c 0 c 0

Is it a nice code?: No

Generator Matrix-112

a 0 0 0 0 a
0 a 0 a 0 a
b 0 0 0 0 b
0 b 0 b 0 b
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b 0 b 0 b
0 b c a c a
b 0 0 0 0 b
b 0 c c c a
b b 0 b 0 0
b b c a c c
0 a 0 a 0 a
0 a c b c b
0 c 0 c 0 c
0 c c 0 c 0
b a 0 a 0 c
b a c b c 0
b c 0 c 0 a
b c c 0 c b
a 0 0 0 0 a
a 0 c c c b
a b 0 b 0 c
a b c a c 0
c 0 0 0 0 c
c 0 c c c 0
c b 0 b 0 a
c b c a c b
a a 0 a 0 0
a a c b c c
a c 0 c 0 b
a c c 0 c a
c a 0 a 0 b
c a c b c a
c c 0 c 0 0
c c c 0 c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 7x3 + 8x4 + 9x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)3 (X_b)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)4 (X_b)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_b)3 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)4 (X_a)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)3 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 a 0 0 0
0 0 a 0 a 0
0 0 a 0 b 0
0 0 a 0 c 0
0 0 b 0 0 0
0 0 b 0 a 0
0 0 b 0 b 0
0 0 b 0 c 0
0 0 c 0 0 0
0 0 c 0 a 0
0 0 c 0 b 0
0 0 c 0 c 0

Is it a nice code?: No

Generator Matrix-113

a 0 0 0 0 a
0 a 0 a a 0
b 0 0 0 0 b
0 b 0 b b 0
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b 0 b b 0
0 b c b b 0
b 0 0 0 0 b
b 0 c 0 0 b
b b 0 b b b
b b c b b b
0 a 0 a a 0
0 a c a a 0
0 c 0 c c 0
0 c c c c 0
b a 0 a a b
b a c a a b
b c 0 c c b
b c c c c b
a 0 0 0 0 a
a 0 c 0 0 a
a b 0 b b a
a b c b b a
c 0 0 0 0 c
c 0 c 0 0 c
c b 0 b b c
c b c b b c
a a 0 a a a
a a c a a a
a c 0 c c a
a c c c c a
c a 0 a a c
c a c a a c
c c 0 c c c
c c c c c c

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 3x2 + 6x3 + 3x4 + 9x5 + 9x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_b)3 (X_c)1 + (X_0)4 (X_b)2 + (X_0)3 (X_b)2 (X_c)1 + (X_0)1 (X_b)5 + (X_b)5 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)3 (X_c)1 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_a)3 (X_b)2 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_b)2 (X_c)3 + (X_b)2 (X_c)4 + (X_0)4 (X_a)2 + (X_0)3 (X_a)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_a)2 (X_b)3 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_b)3 (X_c)2 + (X_b)3 (X_c)3 + (X_0)1 (X_a)5 + (X_a)5 (X_c)1 + (X_0)1 (X_a)2 (X_c)3 + (X_a)2 (X_c)4 + (X_0)1 (X_a)3 (X_c)2 + (X_a)3 (X_c)3 + (X_0)1 (X_c)5 + (X_c)6

Dual Codewords:

0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0

Is it a nice code?: No

Generator Matrix-114

a 0 0 0 0 a
0 a 0 a a 0
b 0 0 0 0 b
0 b 0 b b 0
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b 0 b b 0
0 b c b b c
b 0 0 0 0 b
b 0 c 0 0 a
b b 0 b b b
b b c b b a
0 a 0 a a 0
0 a c a a c
0 c 0 c c 0
0 c c c c c
b a 0 a a b
b a c a a a
b c 0 c c b
b c c c c a
a 0 0 0 0 a
a 0 c 0 0 b
a b 0 b b a
a b c b b b
c 0 0 0 0 c
c 0 c 0 0 0
c b 0 b b c
c b c b b 0
a a 0 a a a
a a c a a b
a c 0 c c a
a c c c c b
c a 0 a a c
c a c a a 0
c c 0 c c c
c c c c c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 5x2 + 5x3 + 0x4 + 15x5 + 6x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)4 (X_b)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_b)5 + (X_a)1 (X_b)4 (X_c)1 + (X_0)3 (X_a)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)1 (X_a)3 (X_b)2 + (X_a)4 (X_b)1 (X_c)1 + (X_0)1 (X_b)2 (X_c)3 + (X_a)1 (X_b)1 (X_c)4 + (X_0)4 (X_a)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_a)1 (X_b)4 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)1 (X_b)3 (X_c)2 + (X_0)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)5 + (X_a)4 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_c)3 + (X_a)1 (X_b)1 (X_c)4 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0

Is it a nice code?: No

Generator Matrix-115

a 0 0 0 0 a
0 a 0 a a 0
b 0 0 0 0 b
0 b 0 b b 0
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b 0 b b 0
0 b c b a 0
b 0 0 0 0 b
b 0 c 0 c b
b b 0 b b b
b b c b a b
0 a 0 a a 0
0 a c a b 0
0 c 0 c c 0
0 c c c 0 0
b a 0 a a b
b a c a b b
b c 0 c c b
b c c c 0 b
a 0 0 0 0 a
a 0 c 0 c a
a b 0 b b a
a b c b a a
c 0 0 0 0 c
c 0 c 0 c c
c b 0 b b c
c b c b a c
a a 0 a a a
a a c a b a
a c 0 c c a
a c c c 0 a
c a 0 a a c
c a c a b c
c c 0 c c c
c c c c 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 4x3 + 5x4 + 12x5 + 6x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)1 (X_b)5 + (X_a)1 (X_b)4 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)3 (X_b)2 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_b)2 (X_c)3 + (X_0)1 (X_b)2 (X_c)3 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)3 + (X_a)3 (X_b)2 (X_c)1 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_b)3 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)5 + (X_a)4 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_c)3 + (X_0)1 (X_a)2 (X_c)3 + (X_0)1 (X_a)3 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0

Is it a nice code?: No

Generator Matrix-116

a 0 0 0 0 a
0 a 0 a a 0
b 0 0 0 0 b
0 b 0 b b 0
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b 0 b b 0
0 b c b a c
b 0 0 0 0 b
b 0 c 0 c a
b b 0 b b b
b b c b a a
0 a 0 a a 0
0 a c a b c
0 c 0 c c 0
0 c c c 0 c
b a 0 a a b
b a c a b a
b c 0 c c b
b c c c 0 a
a 0 0 0 0 a
a 0 c 0 c b
a b 0 b b a
a b c b a b
c 0 0 0 0 c
c 0 c 0 c 0
c b 0 b b c
c b c b a 0
a a 0 a a a
a a c a b b
a c 0 c c a
a c c c 0 b
c a 0 a a c
c a c a b 0
c c 0 c c c
c c c c 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 5x3 + 4x4 + 15x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_b)5 + (X_a)2 (X_b)3 (X_c)1 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_a)3 (X_b)2 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)3 + (X_a)2 (X_b)3 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)5 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0

Is it a nice code?: No

Generator Matrix-117

a 0 0 0 0 a
0 a 0 a a 0
b 0 0 0 0 b
0 b 0 b b 0
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b 0 b b 0
0 b c a b 0
b 0 0 0 0 b
b 0 c c 0 b
b b 0 b b b
b b c a b b
0 a 0 a a 0
0 a c b a 0
0 c 0 c c 0
0 c c 0 c 0
b a 0 a a b
b a c b a b
b c 0 c c b
b c c 0 c b
a 0 0 0 0 a
a 0 c c 0 a
a b 0 b b a
a b c a b a
c 0 0 0 0 c
c 0 c c 0 c
c b 0 b b c
c b c a b c
a a 0 a a a
a a c b a a
a c 0 c c a
a c c 0 c a
c a 0 a a c
c a c b a c
c c 0 c c c
c c c 0 c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 4x3 + 5x4 + 12x5 + 6x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)1 (X_b)5 + (X_a)1 (X_b)4 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)3 (X_b)2 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_b)2 (X_c)3 + (X_0)1 (X_b)2 (X_c)3 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)3 + (X_a)3 (X_b)2 (X_c)1 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_b)3 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)5 + (X_a)4 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_c)3 + (X_0)1 (X_a)2 (X_c)3 + (X_0)1 (X_a)3 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0

Is it a nice code?: No

Generator Matrix-118

a 0 0 0 0 a
0 a 0 a a 0
b 0 0 0 0 b
0 b 0 b b 0
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b 0 b b 0
0 b c a b c
b 0 0 0 0 b
b 0 c c 0 a
b b 0 b b b
b b c a b a
0 a 0 a a 0
0 a c b a c
0 c 0 c c 0
0 c c 0 c c
b a 0 a a b
b a c b a a
b c 0 c c b
b c c 0 c a
a 0 0 0 0 a
a 0 c c 0 b
a b 0 b b a
a b c a b b
c 0 0 0 0 c
c 0 c c 0 0
c b 0 b b c
c b c a b 0
a a 0 a a a
a a c b a b
a c 0 c c a
a c c 0 c b
c a 0 a a c
c a c b a 0
c c 0 c c c
c c c 0 c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 5x3 + 4x4 + 15x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_b)5 + (X_a)2 (X_b)3 (X_c)1 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_a)3 (X_b)2 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)3 + (X_a)2 (X_b)3 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)5 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0

Is it a nice code?: No

Generator Matrix-119

a 0 0 0 0 a
0 a 0 a a 0
b 0 0 0 0 b
0 b 0 b b 0
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b 0 b b 0
0 b c a a 0
b 0 0 0 0 b
b 0 c c c b
b b 0 b b b
b b c a a b
0 a 0 a a 0
0 a c b b 0
0 c 0 c c 0
0 c c 0 0 0
b a 0 a a b
b a c b b b
b c 0 c c b
b c c 0 0 b
a 0 0 0 0 a
a 0 c c c a
a b 0 b b a
a b c a a a
c 0 0 0 0 c
c 0 c c c c
c b 0 b b c
c b c a a c
a a 0 a a a
a a c b b a
a c 0 c c a
a c c 0 0 a
c a 0 a a c
c a c b b c
c c 0 c c c
c c c 0 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 4x3 + 5x4 + 12x5 + 6x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)4 (X_b)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)1 (X_b)5 + (X_a)2 (X_b)3 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_a)3 (X_b)2 + (X_a)1 (X_b)4 (X_c)1 + (X_0)1 (X_b)2 (X_c)3 + (X_0)2 (X_b)2 (X_c)2 + (X_0)4 (X_a)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)1 (X_a)2 (X_b)3 + (X_a)4 (X_b)1 (X_c)1 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5 + (X_0)1 (X_b)3 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)5 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_c)3 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)3 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0

Is it a nice code?: No

Generator Matrix-120

a 0 0 0 0 a
0 a 0 a a 0
b 0 0 0 0 b
0 b 0 b b 0
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b 0 b b 0
0 b c a a c
b 0 0 0 0 b
b 0 c c c a
b b 0 b b b
b b c a a a
0 a 0 a a 0
0 a c b b c
0 c 0 c c 0
0 c c 0 0 c
b a 0 a a b
b a c b b a
b c 0 c c b
b c c 0 0 a
a 0 0 0 0 a
a 0 c c c b
a b 0 b b a
a b c a a b
c 0 0 0 0 c
c 0 c c c 0
c b 0 b b c
c b c a a 0
a a 0 a a a
a a c b b b
a c 0 c c a
a c c 0 0 b
c a 0 a a c
c a c b b 0
c c 0 c c c
c c c 0 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 5x3 + 4x4 + 15x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)3 (X_b)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)4 (X_b)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_b)5 + (X_a)3 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)3 (X_b)2 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_a)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)2 (X_b)3 + (X_a)3 (X_b)2 (X_c)1 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)5 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0

Is it a nice code?: No

Generator Matrix-121

a 0 0 0 0 a
0 a 0 a a a
b 0 0 0 0 b
0 b 0 b b b
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b 0 b b b
0 b c b b b
b 0 0 0 0 b
b 0 c 0 0 b
b b 0 b b 0
b b c b b 0
0 a 0 a a a
0 a c a a a
0 c 0 c c c
0 c c c c c
b a 0 a a c
b a c a a c
b c 0 c c a
b c c c c a
a 0 0 0 0 a
a 0 c 0 0 a
a b 0 b b c
a b c b b c
c 0 0 0 0 c
c 0 c 0 0 c
c b 0 b b a
c b c b b a
a a 0 a a 0
a a c a a 0
a c 0 c c b
a c c c c b
c a 0 a a b
c a c a a b
c c 0 c c 0
c c c c c 0

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 3x2 + 3x3 + 6x4 + 12x5 + 6x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_b)4 (X_c)1 + (X_0)4 (X_b)2 + (X_0)3 (X_b)2 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_b)4 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)4 (X_c)1 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_a)1 (X_b)1 (X_c)4 + (X_0)4 (X_a)2 + (X_0)3 (X_a)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)4 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_a)1 (X_b)1 (X_c)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0

Is it a nice code?: No

Generator Matrix-122

a 0 0 0 0 a
0 a 0 a a a
b 0 0 0 0 b
0 b 0 b b b
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b 0 b b b
0 b c b b a
b 0 0 0 0 b
b 0 c 0 0 a
b b 0 b b 0
b b c b b c
0 a 0 a a a
0 a c a a b
0 c 0 c c c
0 c c c c 0
b a 0 a a c
b a c a a 0
b c 0 c c a
b c c c c b
a 0 0 0 0 a
a 0 c 0 0 b
a b 0 b b c
a b c b b 0
c 0 0 0 0 c
c 0 c 0 0 0
c b 0 b b a
c b c b b b
a a 0 a a 0
a a c a a c
a c 0 c c b
a c c c c a
c a 0 a a b
c a c a a a
c c 0 c c 0
c c c c c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 5x2 + 2x3 + 7x4 + 10x5 + 7x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)4 (X_b)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_b)4 + (X_b)4 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_b)2 (X_c)4 + (X_0)4 (X_a)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_b)4 (X_c)2 + (X_0)2 (X_a)4 + (X_a)4 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_a)2 (X_c)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)4 (X_c)2 + (X_0)2 (X_c)4 + (X_c)6

Dual Codewords:

0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0

Is it a nice code?: No

Generator Matrix-123

a 0 0 0 0 a
0 a 0 a a a
b 0 0 0 0 b
0 b 0 b b b
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b 0 b b b
0 b c b a b
b 0 0 0 0 b
b 0 c 0 c b
b b 0 b b 0
b b c b a 0
0 a 0 a a a
0 a c a b a
0 c 0 c c c
0 c c c 0 c
b a 0 a a c
b a c a b c
b c 0 c c a
b c c c 0 a
a 0 0 0 0 a
a 0 c 0 c a
a b 0 b b c
a b c b a c
c 0 0 0 0 c
c 0 c 0 c c
c b 0 b b a
c b c b a a
a a 0 a a 0
a a c a b 0
a c 0 c c b
a c c c 0 b
c a 0 a a b
c a c a b b
c c 0 c c 0
c c c c 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 0x3 + 11x4 + 12x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0

Is it a nice code?: No

Generator Matrix-124

a 0 0 0 0 a
0 a 0 a a a
b 0 0 0 0 b
0 b 0 b b b
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b 0 b b b
0 b c b a a
b 0 0 0 0 b
b 0 c 0 c a
b b 0 b b 0
b b c b a c
0 a 0 a a a
0 a c a b b
0 c 0 c c c
0 c c c 0 0
b a 0 a a c
b a c a b 0
b c 0 c c a
b c c c 0 b
a 0 0 0 0 a
a 0 c 0 c b
a b 0 b b c
a b c b a 0
c 0 0 0 0 c
c 0 c 0 c 0
c b 0 b b a
c b c b a b
a a 0 a a 0
a a c a b c
a c 0 c c b
a c c c 0 a
c a 0 a a b
c a c a b a
c c 0 c c 0
c c c c 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 3x3 + 8x4 + 13x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_b)4 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_b)2 (X_c)3 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)4 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)2 (X_c)3 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0

Is it a nice code?: No

Generator Matrix-125

a 0 0 0 0 a
0 a 0 a a a
b 0 0 0 0 b
0 b 0 b b b
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b 0 b b b
0 b c a b b
b 0 0 0 0 b
b 0 c c 0 b
b b 0 b b 0
b b c a b 0
0 a 0 a a a
0 a c b a a
0 c 0 c c c
0 c c 0 c c
b a 0 a a c
b a c b a c
b c 0 c c a
b c c 0 c a
a 0 0 0 0 a
a 0 c c 0 a
a b 0 b b c
a b c a b c
c 0 0 0 0 c
c 0 c c 0 c
c b 0 b b a
c b c a b a
a a 0 a a 0
a a c b a 0
a c 0 c c b
a c c 0 c b
c a 0 a a b
c a c b a b
c c 0 c c 0
c c c 0 c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 0x3 + 11x4 + 12x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0

Is it a nice code?: No

Generator Matrix-126

a 0 0 0 0 a
0 a 0 a a a
b 0 0 0 0 b
0 b 0 b b b
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b 0 b b b
0 b c a b a
b 0 0 0 0 b
b 0 c c 0 a
b b 0 b b 0
b b c a b c
0 a 0 a a a
0 a c b a b
0 c 0 c c c
0 c c 0 c 0
b a 0 a a c
b a c b a 0
b c 0 c c a
b c c 0 c b
a 0 0 0 0 a
a 0 c c 0 b
a b 0 b b c
a b c a b 0
c 0 0 0 0 c
c 0 c c 0 0
c b 0 b b a
c b c a b b
a a 0 a a 0
a a c b a c
a c 0 c c b
a c c 0 c a
c a 0 a a b
c a c b a a
c c 0 c c 0
c c c 0 c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 3x3 + 8x4 + 13x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_b)4 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_b)2 (X_c)3 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)4 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)2 (X_c)3 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0

Is it a nice code?: No

Generator Matrix-127

a 0 0 0 0 a
0 a 0 a a a
b 0 0 0 0 b
0 b 0 b b b
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b 0 b b b
0 b c a a b
b 0 0 0 0 b
b 0 c c c b
b b 0 b b 0
b b c a a 0
0 a 0 a a a
0 a c b b a
0 c 0 c c c
0 c c 0 0 c
b a 0 a a c
b a c b b c
b c 0 c c a
b c c 0 0 a
a 0 0 0 0 a
a 0 c c c a
a b 0 b b c
a b c a a c
c 0 0 0 0 c
c 0 c c c c
c b 0 b b a
c b c a a a
a a 0 a a 0
a a c b b 0
a c 0 c c b
a c c 0 0 b
c a 0 a a b
c a c b b b
c c 0 c c 0
c c c 0 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 3x3 + 8x4 + 13x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)4 (X_b)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_a)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0

Is it a nice code?: No

Generator Matrix-128

a 0 0 0 0 a
0 a 0 a a a
b 0 0 0 0 b
0 b 0 b b b
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b 0 b b b
0 b c a a a
b 0 0 0 0 b
b 0 c c c a
b b 0 b b 0
b b c a a c
0 a 0 a a a
0 a c b b b
0 c 0 c c c
0 c c 0 0 0
b a 0 a a c
b a c b b 0
b c 0 c c a
b c c 0 0 b
a 0 0 0 0 a
a 0 c c c b
a b 0 b b c
a b c a a 0
c 0 0 0 0 c
c 0 c c c 0
c b 0 b b a
c b c a a b
a a 0 a a 0
a a c b b c
a c 0 c c b
a c c 0 0 a
c a 0 a a b
c a c b b a
c c 0 c c 0
c c c 0 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 0x3 + 11x4 + 12x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)2 (X_b)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)4 (X_b)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_b)4 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_b)2 (X_c)2 + (X_0)4 (X_a)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0

Is it a nice code?: No

Generator Matrix-129

a 0 0 0 a 0
0 a 0 0 0 0
b 0 0 0 b 0
0 b 0 0 0 0
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b 0 0 0 0
0 b c 0 0 0
b 0 0 0 b 0
b 0 c 0 b 0
b b 0 0 b 0
b b c 0 b 0
0 a 0 0 0 0
0 a c 0 0 0
0 c 0 0 0 0
0 c c 0 0 0
b a 0 0 b 0
b a c 0 b 0
b c 0 0 b 0
b c c 0 b 0
a 0 0 0 a 0
a 0 c 0 a 0
a b 0 0 a 0
a b c 0 a 0
c 0 0 0 c 0
c 0 c 0 c 0
c b 0 0 c 0
c b c 0 c 0
a a 0 0 a 0
a a c 0 a 0
a c 0 0 a 0
a c c 0 a 0
c a 0 0 c 0
c a c 0 c 0
c c 0 0 c 0
c c c 0 c 0

dmin: 1
Weight Enumerator: 1x0 + 4x1 + 6x2 + 12x3 + 9x4 + 0x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)5 (X_b)1 + (X_0)4 (X_b)1 (X_c)1 + (X_0)4 (X_b)2 + (X_0)3 (X_b)2 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_b)3 (X_c)1 + (X_0)5 (X_a)1 + (X_0)4 (X_a)1 (X_c)1 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_a)1 (X_b)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_b)2 (X_c)1 + (X_0)2 (X_b)2 (X_c)2 + (X_0)4 (X_a)2 + (X_0)3 (X_a)2 (X_c)1 + (X_0)3 (X_a)2 (X_b)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_b)1 (X_c)2 + (X_0)2 (X_b)1 (X_c)3 + (X_0)3 (X_a)3 + (X_0)2 (X_a)3 (X_c)1 + (X_0)3 (X_a)2 (X_c)1 + (X_0)2 (X_a)2 (X_c)2 + (X_0)3 (X_a)1 (X_c)2 + (X_0)2 (X_a)1 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 a a 0 0
0 0 a a 0 a
0 0 a a 0 b
0 0 a a 0 c
0 0 a b 0 0
0 0 a b 0 a
0 0 a b 0 b
0 0 a b 0 c
0 0 a c 0 0
0 0 a c 0 a
0 0 a c 0 b
0 0 a c 0 c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 b a 0 0
0 0 b a 0 a
0 0 b a 0 b
0 0 b a 0 c
0 0 b b 0 0
0 0 b b 0 a
0 0 b b 0 b
0 0 b b 0 c
0 0 b c 0 0
0 0 b c 0 a
0 0 b c 0 b
0 0 b c 0 c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c
0 0 c a 0 0
0 0 c a 0 a
0 0 c a 0 b
0 0 c a 0 c
0 0 c b 0 0
0 0 c b 0 a
0 0 c b 0 b
0 0 c b 0 c
0 0 c c 0 0
0 0 c c 0 a
0 0 c c 0 b
0 0 c c 0 c

Is it a nice code?: No

Generator Matrix-130

a 0 0 0 a 0
0 a 0 0 0 0
b 0 0 0 b 0
0 b 0 0 0 0
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b 0 0 0 0
0 b c 0 0 c
b 0 0 0 b 0
b 0 c 0 b c
b b 0 0 b 0
b b c 0 b c
0 a 0 0 0 0
0 a c 0 0 c
0 c 0 0 0 0
0 c c 0 0 c
b a 0 0 b 0
b a c 0 b c
b c 0 0 b 0
b c c 0 b c
a 0 0 0 a 0
a 0 c 0 a c
a b 0 0 a 0
a b c 0 a c
c 0 0 0 c 0
c 0 c 0 c c
c b 0 0 c 0
c b c 0 c c
a a 0 0 a 0
a a c 0 a c
a c 0 0 a 0
a c c 0 a c
c a 0 0 c 0
c a c 0 c c
c c 0 0 c 0
c c c 0 c c

dmin: 1
Weight Enumerator: 1x0 + 3x1 + 4x2 + 12x3 + 3x4 + 9x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)5 (X_b)1 + (X_0)3 (X_b)1 (X_c)2 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)3 (X_b)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)5 (X_a)1 + (X_0)3 (X_a)1 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_b)2 (X_c)1 + (X_0)1 (X_b)2 (X_c)3 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)3 (X_a)2 (X_b)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_b)1 (X_c)2 + (X_0)1 (X_b)1 (X_c)4 + (X_0)3 (X_a)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)3 (X_a)2 (X_c)1 + (X_0)1 (X_a)2 (X_c)3 + (X_0)3 (X_a)1 (X_c)2 + (X_0)1 (X_a)1 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 a a 0 0
0 0 a a 0 a
0 0 a a 0 b
0 0 a a 0 c
0 0 a b 0 0
0 0 a b 0 a
0 0 a b 0 b
0 0 a b 0 c
0 0 a c 0 0
0 0 a c 0 a
0 0 a c 0 b
0 0 a c 0 c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 b a 0 0
0 0 b a 0 a
0 0 b a 0 b
0 0 b a 0 c
0 0 b b 0 0
0 0 b b 0 a
0 0 b b 0 b
0 0 b b 0 c
0 0 b c 0 0
0 0 b c 0 a
0 0 b c 0 b
0 0 b c 0 c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c
0 0 c a 0 0
0 0 c a 0 a
0 0 c a 0 b
0 0 c a 0 c
0 0 c b 0 0
0 0 c b 0 a
0 0 c b 0 b
0 0 c b 0 c
0 0 c c 0 0
0 0 c c 0 a
0 0 c c 0 b
0 0 c c 0 c

Is it a nice code?: No

Generator Matrix-131

a 0 0 0 a 0
0 a 0 0 0 0
b 0 0 0 b 0
0 b 0 0 0 0
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b 0 0 0 0
0 b c 0 c 0
b 0 0 0 b 0
b 0 c 0 a 0
b b 0 0 b 0
b b c 0 a 0
0 a 0 0 0 0
0 a c 0 c 0
0 c 0 0 0 0
0 c c 0 c 0
b a 0 0 b 0
b a c 0 a 0
b c 0 0 b 0
b c c 0 a 0
a 0 0 0 a 0
a 0 c 0 b 0
a b 0 0 a 0
a b c 0 b 0
c 0 0 0 c 0
c 0 c 0 0 0
c b 0 0 c 0
c b c 0 0 0
a a 0 0 a 0
a a c 0 b 0
a c 0 0 a 0
a c c 0 b 0
c a 0 0 c 0
c a c 0 0 0
c c 0 0 c 0
c c c 0 0 0

dmin: 1
Weight Enumerator: 1x0 + 3x1 + 5x2 + 17x3 + 6x4 + 0x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)5 (X_b)1 + (X_0)3 (X_b)1 (X_c)2 + (X_0)4 (X_b)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)5 (X_a)1 + (X_0)3 (X_a)1 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_a)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)3 (X_a)2 (X_b)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_b)1 (X_c)2 + (X_0)3 (X_b)1 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_a)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_a)1 (X_c)2 + (X_0)3 (X_a)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 a a 0 0
0 0 a a 0 a
0 0 a a 0 b
0 0 a a 0 c
0 0 a b 0 0
0 0 a b 0 a
0 0 a b 0 b
0 0 a b 0 c
0 0 a c 0 0
0 0 a c 0 a
0 0 a c 0 b
0 0 a c 0 c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 b a 0 0
0 0 b a 0 a
0 0 b a 0 b
0 0 b a 0 c
0 0 b b 0 0
0 0 b b 0 a
0 0 b b 0 b
0 0 b b 0 c
0 0 b c 0 0
0 0 b c 0 a
0 0 b c 0 b
0 0 b c 0 c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c
0 0 c a 0 0
0 0 c a 0 a
0 0 c a 0 b
0 0 c a 0 c
0 0 c b 0 0
0 0 c b 0 a
0 0 c b 0 b
0 0 c b 0 c
0 0 c c 0 0
0 0 c c 0 a
0 0 c c 0 b
0 0 c c 0 c

Is it a nice code?: No

Generator Matrix-132

a 0 0 0 a 0
0 a 0 0 0 0
b 0 0 0 b 0
0 b 0 0 0 0
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b 0 0 0 0
0 b c 0 c c
b 0 0 0 b 0
b 0 c 0 a c
b b 0 0 b 0
b b c 0 a c
0 a 0 0 0 0
0 a c 0 c c
0 c 0 0 0 0
0 c c 0 c c
b a 0 0 b 0
b a c 0 a c
b c 0 0 b 0
b c c 0 a c
a 0 0 0 a 0
a 0 c 0 b c
a b 0 0 a 0
a b c 0 b c
c 0 0 0 c 0
c 0 c 0 0 c
c b 0 0 c 0
c b c 0 0 c
a a 0 0 a 0
a a c 0 b c
a c 0 0 a 0
a c c 0 b c
c a 0 0 c 0
c a c 0 0 c
c c 0 0 c 0
c c c 0 0 c

dmin: 1
Weight Enumerator: 1x0 + 3x1 + 3x2 + 11x3 + 8x4 + 6x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)5 (X_b)1 + (X_0)2 (X_b)1 (X_c)3 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)5 (X_a)1 + (X_0)2 (X_a)1 (X_c)3 + (X_0)5 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_a)1 (X_b)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_a)2 (X_b)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_b)1 (X_c)2 + (X_0)2 (X_b)1 (X_c)3 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_a)1 (X_c)2 + (X_0)2 (X_a)1 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 a a 0 0
0 0 a a 0 a
0 0 a a 0 b
0 0 a a 0 c
0 0 a b 0 0
0 0 a b 0 a
0 0 a b 0 b
0 0 a b 0 c
0 0 a c 0 0
0 0 a c 0 a
0 0 a c 0 b
0 0 a c 0 c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 b a 0 0
0 0 b a 0 a
0 0 b a 0 b
0 0 b a 0 c
0 0 b b 0 0
0 0 b b 0 a
0 0 b b 0 b
0 0 b b 0 c
0 0 b c 0 0
0 0 b c 0 a
0 0 b c 0 b
0 0 b c 0 c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c
0 0 c a 0 0
0 0 c a 0 a
0 0 c a 0 b
0 0 c a 0 c
0 0 c b 0 0
0 0 c b 0 a
0 0 c b 0 b
0 0 c b 0 c
0 0 c c 0 0
0 0 c c 0 a
0 0 c c 0 b
0 0 c c 0 c

Is it a nice code?: No

Generator Matrix-133

a 0 0 0 a 0
0 a 0 0 0 0
b 0 0 0 b 0
0 b 0 0 0 0
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b 0 0 0 0
0 b c c 0 0
b 0 0 0 b 0
b 0 c c b 0
b b 0 0 b 0
b b c c b 0
0 a 0 0 0 0
0 a c c 0 0
0 c 0 0 0 0
0 c c c 0 0
b a 0 0 b 0
b a c c b 0
b c 0 0 b 0
b c c c b 0
a 0 0 0 a 0
a 0 c c a 0
a b 0 0 a 0
a b c c a 0
c 0 0 0 c 0
c 0 c c c 0
c b 0 0 c 0
c b c c c 0
a a 0 0 a 0
a a c c a 0
a c 0 0 a 0
a c c c a 0
c a 0 0 c 0
c a c c c 0
c c 0 0 c 0
c c c c c 0

dmin: 1
Weight Enumerator: 1x0 + 3x1 + 4x2 + 12x3 + 3x4 + 9x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)5 (X_b)1 + (X_0)3 (X_b)1 (X_c)2 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)3 (X_b)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)5 (X_a)1 + (X_0)3 (X_a)1 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_b)2 (X_c)1 + (X_0)1 (X_b)2 (X_c)3 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)3 (X_a)2 (X_b)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_b)1 (X_c)2 + (X_0)1 (X_b)1 (X_c)4 + (X_0)3 (X_a)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)3 (X_a)2 (X_c)1 + (X_0)1 (X_a)2 (X_c)3 + (X_0)3 (X_a)1 (X_c)2 + (X_0)1 (X_a)1 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 a a 0 0
0 0 a a 0 a
0 0 a a 0 b
0 0 a a 0 c
0 0 a b 0 0
0 0 a b 0 a
0 0 a b 0 b
0 0 a b 0 c
0 0 a c 0 0
0 0 a c 0 a
0 0 a c 0 b
0 0 a c 0 c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 b a 0 0
0 0 b a 0 a
0 0 b a 0 b
0 0 b a 0 c
0 0 b b 0 0
0 0 b b 0 a
0 0 b b 0 b
0 0 b b 0 c
0 0 b c 0 0
0 0 b c 0 a
0 0 b c 0 b
0 0 b c 0 c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c
0 0 c a 0 0
0 0 c a 0 a
0 0 c a 0 b
0 0 c a 0 c
0 0 c b 0 0
0 0 c b 0 a
0 0 c b 0 b
0 0 c b 0 c
0 0 c c 0 0
0 0 c c 0 a
0 0 c c 0 b
0 0 c c 0 c

Is it a nice code?: No

Generator Matrix-134

a 0 0 0 a 0
0 a 0 0 0 0
b 0 0 0 b 0
0 b 0 0 0 0
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b 0 0 0 0
0 b c c 0 c
b 0 0 0 b 0
b 0 c c b c
b b 0 0 b 0
b b c c b c
0 a 0 0 0 0
0 a c c 0 c
0 c 0 0 0 0
0 c c c 0 c
b a 0 0 b 0
b a c c b c
b c 0 0 b 0
b c c c b c
a 0 0 0 a 0
a 0 c c a c
a b 0 0 a 0
a b c c a c
c 0 0 0 c 0
c 0 c c c c
c b 0 0 c 0
c b c c c c
a a 0 0 a 0
a a c c a c
a c 0 0 a 0
a c c c a c
c a 0 0 c 0
c a c c c c
c c 0 0 c 0
c c c c c c

dmin: 1
Weight Enumerator: 1x0 + 3x1 + 3x2 + 10x3 + 3x4 + 3x5 + 9x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)5 (X_b)1 + (X_0)2 (X_b)1 (X_c)3 + (X_0)4 (X_b)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)3 (X_b)3 + (X_b)3 (X_c)3 + (X_0)5 (X_a)1 + (X_0)2 (X_a)1 (X_c)3 + (X_0)5 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_a)1 (X_b)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_b)2 (X_c)1 + (X_b)2 (X_c)4 + (X_0)4 (X_a)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)3 (X_a)2 (X_b)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5 + (X_0)3 (X_b)1 (X_c)2 + (X_b)1 (X_c)5 + (X_0)3 (X_a)3 + (X_a)3 (X_c)3 + (X_0)3 (X_a)2 (X_c)1 + (X_a)2 (X_c)4 + (X_0)3 (X_a)1 (X_c)2 + (X_a)1 (X_c)5 + (X_0)3 (X_c)3 + (X_c)6

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 a a 0 0
0 0 a a 0 a
0 0 a a 0 b
0 0 a a 0 c
0 0 a b 0 0
0 0 a b 0 a
0 0 a b 0 b
0 0 a b 0 c
0 0 a c 0 0
0 0 a c 0 a
0 0 a c 0 b
0 0 a c 0 c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 b a 0 0
0 0 b a 0 a
0 0 b a 0 b
0 0 b a 0 c
0 0 b b 0 0
0 0 b b 0 a
0 0 b b 0 b
0 0 b b 0 c
0 0 b c 0 0
0 0 b c 0 a
0 0 b c 0 b
0 0 b c 0 c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c
0 0 c a 0 0
0 0 c a 0 a
0 0 c a 0 b
0 0 c a 0 c
0 0 c b 0 0
0 0 c b 0 a
0 0 c b 0 b
0 0 c b 0 c
0 0 c c 0 0
0 0 c c 0 a
0 0 c c 0 b
0 0 c c 0 c

Is it a nice code?: No

Generator Matrix-135

a 0 0 0 a 0
0 a 0 0 0 0
b 0 0 0 b 0
0 b 0 0 0 0
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b 0 0 0 0
0 b c c c 0
b 0 0 0 b 0
b 0 c c a 0
b b 0 0 b 0
b b c c a 0
0 a 0 0 0 0
0 a c c c 0
0 c 0 0 0 0
0 c c c c 0
b a 0 0 b 0
b a c c a 0
b c 0 0 b 0
b c c c a 0
a 0 0 0 a 0
a 0 c c b 0
a b 0 0 a 0
a b c c b 0
c 0 0 0 c 0
c 0 c c 0 0
c b 0 0 c 0
c b c c 0 0
a a 0 0 a 0
a a c c b 0
a c 0 0 a 0
a c c c b 0
c a 0 0 c 0
c a c c 0 0
c c 0 0 c 0
c c c c 0 0

dmin: 1
Weight Enumerator: 1x0 + 3x1 + 3x2 + 11x3 + 8x4 + 6x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)5 (X_b)1 + (X_0)2 (X_b)1 (X_c)3 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)5 (X_a)1 + (X_0)2 (X_a)1 (X_c)3 + (X_0)5 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_a)1 (X_b)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_a)2 (X_b)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_b)1 (X_c)2 + (X_0)2 (X_b)1 (X_c)3 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_a)1 (X_c)2 + (X_0)2 (X_a)1 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 a a 0 0
0 0 a a 0 a
0 0 a a 0 b
0 0 a a 0 c
0 0 a b 0 0
0 0 a b 0 a
0 0 a b 0 b
0 0 a b 0 c
0 0 a c 0 0
0 0 a c 0 a
0 0 a c 0 b
0 0 a c 0 c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 b a 0 0
0 0 b a 0 a
0 0 b a 0 b
0 0 b a 0 c
0 0 b b 0 0
0 0 b b 0 a
0 0 b b 0 b
0 0 b b 0 c
0 0 b c 0 0
0 0 b c 0 a
0 0 b c 0 b
0 0 b c 0 c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c
0 0 c a 0 0
0 0 c a 0 a
0 0 c a 0 b
0 0 c a 0 c
0 0 c b 0 0
0 0 c b 0 a
0 0 c b 0 b
0 0 c b 0 c
0 0 c c 0 0
0 0 c c 0 a
0 0 c c 0 b
0 0 c c 0 c

Is it a nice code?: No

Generator Matrix-136

a 0 0 0 a 0
0 a 0 0 0 0
b 0 0 0 b 0
0 b 0 0 0 0
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b 0 0 0 0
0 b c c c c
b 0 0 0 b 0
b 0 c c a c
b b 0 0 b 0
b b c c a c
0 a 0 0 0 0
0 a c c c c
0 c 0 0 0 0
0 c c c c c
b a 0 0 b 0
b a c c a c
b c 0 0 b 0
b c c c a c
a 0 0 0 a 0
a 0 c c b c
a b 0 0 a 0
a b c c b c
c 0 0 0 c 0
c 0 c c 0 c
c b 0 0 c 0
c b c c 0 c
a a 0 0 a 0
a a c c b c
a c 0 0 a 0
a c c c b c
c a 0 0 c 0
c a c c 0 c
c c 0 0 c 0
c c c c 0 c

dmin: 1
Weight Enumerator: 1x0 + 3x1 + 3x2 + 9x3 + 2x4 + 8x5 + 6x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)5 (X_b)1 + (X_0)1 (X_b)1 (X_c)4 + (X_0)4 (X_b)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_b)3 + (X_a)1 (X_b)2 (X_c)3 + (X_0)5 (X_a)1 + (X_0)1 (X_a)1 (X_c)4 + (X_0)5 (X_c)1 + (X_0)1 (X_c)5 + (X_0)3 (X_a)1 (X_b)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_b)2 (X_c)1 + (X_a)1 (X_b)1 (X_c)4 + (X_0)4 (X_a)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_a)2 (X_b)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_b)1 (X_c)2 + (X_0)1 (X_b)1 (X_c)4 + (X_0)3 (X_a)3 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_a)2 (X_c)1 + (X_a)1 (X_b)1 (X_c)4 + (X_0)3 (X_a)1 (X_c)2 + (X_0)1 (X_a)1 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 a a 0 0
0 0 a a 0 a
0 0 a a 0 b
0 0 a a 0 c
0 0 a b 0 0
0 0 a b 0 a
0 0 a b 0 b
0 0 a b 0 c
0 0 a c 0 0
0 0 a c 0 a
0 0 a c 0 b
0 0 a c 0 c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 b a 0 0
0 0 b a 0 a
0 0 b a 0 b
0 0 b a 0 c
0 0 b b 0 0
0 0 b b 0 a
0 0 b b 0 b
0 0 b b 0 c
0 0 b c 0 0
0 0 b c 0 a
0 0 b c 0 b
0 0 b c 0 c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c
0 0 c a 0 0
0 0 c a 0 a
0 0 c a 0 b
0 0 c a 0 c
0 0 c b 0 0
0 0 c b 0 a
0 0 c b 0 b
0 0 c b 0 c
0 0 c c 0 0
0 0 c c 0 a
0 0 c c 0 b
0 0 c c 0 c

Is it a nice code?: No

Generator Matrix-137

a 0 0 0 a 0
0 a 0 0 0 a
b 0 0 0 b 0
0 b 0 0 0 b
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b 0 0 0 b
0 b c 0 0 b
b 0 0 0 b 0
b 0 c 0 b 0
b b 0 0 b b
b b c 0 b b
0 a 0 0 0 a
0 a c 0 0 a
0 c 0 0 0 c
0 c c 0 0 c
b a 0 0 b a
b a c 0 b a
b c 0 0 b c
b c c 0 b c
a 0 0 0 a 0
a 0 c 0 a 0
a b 0 0 a b
a b c 0 a b
c 0 0 0 c 0
c 0 c 0 c 0
c b 0 0 c b
c b c 0 c b
a a 0 0 a a
a a c 0 a a
a c 0 0 a c
a c c 0 a c
c a 0 0 c a
c a c 0 c a
c c 0 0 c c
c c c 0 c c

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 6x2 + 6x3 + 9x4 + 9x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)4 (X_b)2 + (X_0)3 (X_b)2 (X_c)1 + (X_0)4 (X_b)2 + (X_0)3 (X_b)2 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_b)4 (X_c)1 + (X_0)4 (X_a)2 + (X_0)3 (X_a)2 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_b)2 (X_c)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)4 (X_a)2 + (X_0)3 (X_a)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_b)2 (X_c)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)4 + (X_0)1 (X_a)4 (X_c)1 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0
0 0 a 0 0 0
0 0 a a 0 0
0 0 a b 0 0
0 0 a c 0 0
0 0 b 0 0 0
0 0 b a 0 0
0 0 b b 0 0
0 0 b c 0 0
0 0 c 0 0 0
0 0 c a 0 0
0 0 c b 0 0
0 0 c c 0 0

Is it a nice code?: No

Generator Matrix-138

a 0 0 0 a 0
0 a 0 0 0 a
b 0 0 0 b 0
0 b 0 0 0 b
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b 0 0 0 b
0 b c 0 0 a
b 0 0 0 b 0
b 0 c 0 b c
b b 0 0 b b
b b c 0 b a
0 a 0 0 0 a
0 a c 0 0 b
0 c 0 0 0 c
0 c c 0 0 0
b a 0 0 b a
b a c 0 b b
b c 0 0 b c
b c c 0 b 0
a 0 0 0 a 0
a 0 c 0 a c
a b 0 0 a b
a b c 0 a a
c 0 0 0 c 0
c 0 c 0 c c
c b 0 0 c b
c b c 0 c a
a a 0 0 a a
a a c 0 a b
a c 0 0 a c
a c c 0 a 0
c a 0 0 c a
c a c 0 c b
c c 0 0 c c
c c c 0 c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 8x2 + 2x3 + 15x4 + 6x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_b)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)4 (X_a)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0
0 0 a 0 0 0
0 0 a a 0 0
0 0 a b 0 0
0 0 a c 0 0
0 0 b 0 0 0
0 0 b a 0 0
0 0 b b 0 0
0 0 b c 0 0
0 0 c 0 0 0
0 0 c a 0 0
0 0 c b 0 0
0 0 c c 0 0

Is it a nice code?: No

Generator Matrix-139

a 0 0 0 a 0
0 a 0 0 0 a
b 0 0 0 b 0
0 b 0 0 0 b
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b 0 0 0 b
0 b c 0 c b
b 0 0 0 b 0
b 0 c 0 a 0
b b 0 0 b b
b b c 0 a b
0 a 0 0 0 a
0 a c 0 c a
0 c 0 0 0 c
0 c c 0 c c
b a 0 0 b a
b a c 0 a a
b c 0 0 b c
b c c 0 a c
a 0 0 0 a 0
a 0 c 0 b 0
a b 0 0 a b
a b c 0 b b
c 0 0 0 c 0
c 0 c 0 0 0
c b 0 0 c b
c b c 0 0 b
a a 0 0 a a
a a c 0 b a
a c 0 0 a c
a c c 0 b c
c a 0 0 c a
c a c 0 0 a
c c 0 0 c c
c c c 0 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 8x2 + 2x3 + 15x4 + 6x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)4 (X_b)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_a)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0
0 0 a 0 0 0
0 0 a a 0 0
0 0 a b 0 0
0 0 a c 0 0
0 0 b 0 0 0
0 0 b a 0 0
0 0 b b 0 0
0 0 b c 0 0
0 0 c 0 0 0
0 0 c a 0 0
0 0 c b 0 0
0 0 c c 0 0

Is it a nice code?: No

Generator Matrix-140

a 0 0 0 a 0
0 a 0 0 0 a
b 0 0 0 b 0
0 b 0 0 0 b
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b 0 0 0 b
0 b c 0 c a
b 0 0 0 b 0
b 0 c 0 a c
b b 0 0 b b
b b c 0 a a
0 a 0 0 0 a
0 a c 0 c b
0 c 0 0 0 c
0 c c 0 c 0
b a 0 0 b a
b a c 0 a b
b c 0 0 b c
b c c 0 a 0
a 0 0 0 a 0
a 0 c 0 b c
a b 0 0 a b
a b c 0 b a
c 0 0 0 c 0
c 0 c 0 0 c
c b 0 0 c b
c b c 0 0 a
a a 0 0 a a
a a c 0 b b
a c 0 0 a c
a c c 0 b 0
c a 0 0 c a
c a c 0 0 b
c c 0 0 c c
c c c 0 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 6x2 + 4x3 + 17x4 + 4x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0
0 0 a 0 0 0
0 0 a a 0 0
0 0 a b 0 0
0 0 a c 0 0
0 0 b 0 0 0
0 0 b a 0 0
0 0 b b 0 0
0 0 b c 0 0
0 0 c 0 0 0
0 0 c a 0 0
0 0 c b 0 0
0 0 c c 0 0

Is it a nice code?: No

Generator Matrix-141

a 0 0 0 a 0
0 a 0 0 0 a
b 0 0 0 b 0
0 b 0 0 0 b
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b 0 0 0 b
0 b c c 0 b
b 0 0 0 b 0
b 0 c c b 0
b b 0 0 b b
b b c c b b
0 a 0 0 0 a
0 a c c 0 a
0 c 0 0 0 c
0 c c c 0 c
b a 0 0 b a
b a c c b a
b c 0 0 b c
b c c c b c
a 0 0 0 a 0
a 0 c c a 0
a b 0 0 a b
a b c c a b
c 0 0 0 c 0
c 0 c c c 0
c b 0 0 c b
c b c c c b
a a 0 0 a a
a a c c a a
a c 0 0 a c
a c c c a c
c a 0 0 c a
c a c c c a
c c 0 0 c c
c c c c c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 7x2 + 0x3 + 15x4 + 0x5 + 9x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_b)4 + (X_b)4 (X_c)2 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_a)2 (X_b)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_b)2 (X_c)2 + (X_b)2 (X_c)4 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_b)2 (X_c)2 + (X_b)2 (X_c)4 + (X_0)2 (X_a)4 + (X_a)4 (X_c)2 + (X_0)2 (X_a)2 (X_c)2 + (X_a)2 (X_c)4 + (X_0)2 (X_a)2 (X_c)2 + (X_a)2 (X_c)4 + (X_0)2 (X_c)4 + (X_c)6

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0
0 0 a 0 0 0
0 0 a a 0 0
0 0 a b 0 0
0 0 a c 0 0
0 0 b 0 0 0
0 0 b a 0 0
0 0 b b 0 0
0 0 b c 0 0
0 0 c 0 0 0
0 0 c a 0 0
0 0 c b 0 0
0 0 c c 0 0

Is it a nice code?: No

Generator Matrix-142

a 0 0 0 a 0
0 a 0 0 0 a
b 0 0 0 b 0
0 b 0 0 0 b
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b 0 0 0 b
0 b c c 0 a
b 0 0 0 b 0
b 0 c c b c
b b 0 0 b b
b b c c b a
0 a 0 0 0 a
0 a c c 0 b
0 c 0 0 0 c
0 c c c 0 0
b a 0 0 b a
b a c c b b
b c 0 0 b c
b c c c b 0
a 0 0 0 a 0
a 0 c c a c
a b 0 0 a b
a b c c a a
c 0 0 0 c 0
c 0 c c c c
c b 0 0 c b
c b c c c a
a a 0 0 a a
a a c c a b
a c 0 0 a c
a c c c a 0
c a 0 0 c a
c a c c c b
c c 0 0 c c
c c c c c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 6x2 + 2x3 + 11x4 + 6x5 + 6x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_b)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)2 (X_b)4 + (X_a)1 (X_b)3 (X_c)2 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_a)2 (X_b)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)4 (X_a)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)2 (X_a)2 (X_b)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5 + (X_0)2 (X_b)2 (X_c)2 + (X_a)1 (X_b)1 (X_c)4 + (X_0)2 (X_a)4 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)2 (X_a)2 (X_c)2 + (X_a)1 (X_b)1 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0
0 0 a 0 0 0
0 0 a a 0 0
0 0 a b 0 0
0 0 a c 0 0
0 0 b 0 0 0
0 0 b a 0 0
0 0 b b 0 0
0 0 b c 0 0
0 0 c 0 0 0
0 0 c a 0 0
0 0 c b 0 0
0 0 c c 0 0

Is it a nice code?: No

Generator Matrix-143

a 0 0 0 a 0
0 a 0 0 0 a
b 0 0 0 b 0
0 b 0 0 0 b
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b 0 0 0 b
0 b c c c b
b 0 0 0 b 0
b 0 c c a 0
b b 0 0 b b
b b c c a b
0 a 0 0 0 a
0 a c c c a
0 c 0 0 0 c
0 c c c c c
b a 0 0 b a
b a c c a a
b c 0 0 b c
b c c c a c
a 0 0 0 a 0
a 0 c c b 0
a b 0 0 a b
a b c c b b
c 0 0 0 c 0
c 0 c c 0 0
c b 0 0 c b
c b c c 0 b
a a 0 0 a a
a a c c b a
a c 0 0 a c
a c c c b c
c a 0 0 c a
c a c c 0 a
c c 0 0 c c
c c c c 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 6x2 + 2x3 + 11x4 + 6x5 + 6x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)4 (X_b)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_b)4 + (X_a)1 (X_b)3 (X_c)2 + (X_0)4 (X_a)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5 + (X_0)2 (X_a)2 (X_b)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_b)2 (X_c)2 + (X_a)1 (X_b)1 (X_c)4 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_b)2 (X_c)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)4 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_c)2 + (X_a)1 (X_b)1 (X_c)4 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0
0 0 a 0 0 0
0 0 a a 0 0
0 0 a b 0 0
0 0 a c 0 0
0 0 b 0 0 0
0 0 b a 0 0
0 0 b b 0 0
0 0 b c 0 0
0 0 c 0 0 0
0 0 c a 0 0
0 0 c b 0 0
0 0 c c 0 0

Is it a nice code?: No

Generator Matrix-144

a 0 0 0 a 0
0 a 0 0 0 a
b 0 0 0 b 0
0 b 0 0 0 b
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b 0 0 0 b
0 b c c c a
b 0 0 0 b 0
b 0 c c a c
b b 0 0 b b
b b c c a a
0 a 0 0 0 a
0 a c c c b
0 c 0 0 0 c
0 c c c c 0
b a 0 0 b a
b a c c a b
b c 0 0 b c
b c c c a 0
a 0 0 0 a 0
a 0 c c b c
a b 0 0 a b
a b c c b a
c 0 0 0 c 0
c 0 c c 0 c
c b 0 0 c b
c b c c 0 a
a a 0 0 a a
a a c c b b
a c 0 0 a c
a c c c b 0
c a 0 0 c a
c a c c 0 b
c c 0 0 c c
c c c c 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 6x2 + 0x3 + 13x4 + 8x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)4 (X_b)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_b)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_b)4 + (X_a)2 (X_b)2 (X_c)2 + (X_0)4 (X_a)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_a)2 (X_b)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_a)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)2 (X_b)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)4 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0
0 0 a 0 0 0
0 0 a a 0 0
0 0 a b 0 0
0 0 a c 0 0
0 0 b 0 0 0
0 0 b a 0 0
0 0 b b 0 0
0 0 b c 0 0
0 0 c 0 0 0
0 0 c a 0 0
0 0 c b 0 0
0 0 c c 0 0

Is it a nice code?: No

Generator Matrix-145

a 0 0 0 a 0
0 a 0 0 a 0
b 0 0 0 b 0
0 b 0 0 b 0
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b 0 0 b 0
0 b c 0 b 0
b 0 0 0 b 0
b 0 c 0 b 0
b b 0 0 0 0
b b c 0 0 0
0 a 0 0 a 0
0 a c 0 a 0
0 c 0 0 c 0
0 c c 0 c 0
b a 0 0 c 0
b a c 0 c 0
b c 0 0 a 0
b c c 0 a 0
a 0 0 0 a 0
a 0 c 0 a 0
a b 0 0 c 0
a b c 0 c 0
c 0 0 0 c 0
c 0 c 0 c 0
c b 0 0 a 0
c b c 0 a 0
a a 0 0 0 0
a a c 0 0 0
a c 0 0 b 0
a c c 0 b 0
c a 0 0 b 0
c a c 0 b 0
c c 0 0 0 0
c c c 0 0 0

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 9x2 + 15x3 + 6x4 + 0x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)4 (X_b)2 + (X_0)3 (X_b)2 (X_c)1 + (X_0)4 (X_b)2 + (X_0)3 (X_b)2 (X_c)1 + (X_0)4 (X_b)2 + (X_0)3 (X_b)2 (X_c)1 + (X_0)4 (X_a)2 + (X_0)3 (X_a)2 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_a)2 + (X_0)3 (X_a)2 (X_c)1 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_a)2 + (X_0)3 (X_a)2 (X_c)1 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 a a 0 0
0 0 a a 0 a
0 0 a a 0 b
0 0 a a 0 c
0 0 a b 0 0
0 0 a b 0 a
0 0 a b 0 b
0 0 a b 0 c
0 0 a c 0 0
0 0 a c 0 a
0 0 a c 0 b
0 0 a c 0 c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 b a 0 0
0 0 b a 0 a
0 0 b a 0 b
0 0 b a 0 c
0 0 b b 0 0
0 0 b b 0 a
0 0 b b 0 b
0 0 b b 0 c
0 0 b c 0 0
0 0 b c 0 a
0 0 b c 0 b
0 0 b c 0 c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c
0 0 c a 0 0
0 0 c a 0 a
0 0 c a 0 b
0 0 c a 0 c
0 0 c b 0 0
0 0 c b 0 a
0 0 c b 0 b
0 0 c b 0 c
0 0 c c 0 0
0 0 c c 0 a
0 0 c c 0 b
0 0 c c 0 c

Is it a nice code?: No

Generator Matrix-146

a 0 0 0 a 0
0 a 0 0 a 0
b 0 0 0 b 0
0 b 0 0 b 0
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b 0 0 b 0
0 b c 0 b c
b 0 0 0 b 0
b 0 c 0 b c
b b 0 0 0 0
b b c 0 0 c
0 a 0 0 a 0
0 a c 0 a c
0 c 0 0 c 0
0 c c 0 c c
b a 0 0 c 0
b a c 0 c c
b c 0 0 a 0
b c c 0 a c
a 0 0 0 a 0
a 0 c 0 a c
a b 0 0 c 0
a b c 0 c c
c 0 0 0 c 0
c 0 c 0 c c
c b 0 0 a 0
c b c 0 a c
a a 0 0 0 0
a a c 0 0 c
a c 0 0 b 0
a c c 0 b c
c a 0 0 b 0
c a c 0 b c
c c 0 0 0 0
c c c 0 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 10x2 + 6x3 + 9x4 + 6x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 a a 0 0
0 0 a a 0 a
0 0 a a 0 b
0 0 a a 0 c
0 0 a b 0 0
0 0 a b 0 a
0 0 a b 0 b
0 0 a b 0 c
0 0 a c 0 0
0 0 a c 0 a
0 0 a c 0 b
0 0 a c 0 c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 b a 0 0
0 0 b a 0 a
0 0 b a 0 b
0 0 b a 0 c
0 0 b b 0 0
0 0 b b 0 a
0 0 b b 0 b
0 0 b b 0 c
0 0 b c 0 0
0 0 b c 0 a
0 0 b c 0 b
0 0 b c 0 c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c
0 0 c a 0 0
0 0 c a 0 a
0 0 c a 0 b
0 0 c a 0 c
0 0 c b 0 0
0 0 c b 0 a
0 0 c b 0 b
0 0 c b 0 c
0 0 c c 0 0
0 0 c c 0 a
0 0 c c 0 b
0 0 c c 0 c

Is it a nice code?: No

Generator Matrix-147

a 0 0 0 a 0
0 a 0 0 a 0
b 0 0 0 b 0
0 b 0 0 b 0
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b 0 0 b 0
0 b c 0 a 0
b 0 0 0 b 0
b 0 c 0 a 0
b b 0 0 0 0
b b c 0 c 0
0 a 0 0 a 0
0 a c 0 b 0
0 c 0 0 c 0
0 c c 0 0 0
b a 0 0 c 0
b a c 0 0 0
b c 0 0 a 0
b c c 0 b 0
a 0 0 0 a 0
a 0 c 0 b 0
a b 0 0 c 0
a b c 0 0 0
c 0 0 0 c 0
c 0 c 0 0 0
c b 0 0 a 0
c b c 0 b 0
a a 0 0 0 0
a a c 0 c 0
a c 0 0 b 0
a c c 0 a 0
c a 0 0 b 0
c a c 0 a 0
c c 0 0 0 0
c c c 0 c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 12x2 + 12x3 + 7x4 + 0x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_b)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)4 (X_b)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)4 (X_a)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_b)2 (X_c)2 + (X_0)4 (X_a)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_b)2 (X_c)2 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_c)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 a a 0 0
0 0 a a 0 a
0 0 a a 0 b
0 0 a a 0 c
0 0 a b 0 0
0 0 a b 0 a
0 0 a b 0 b
0 0 a b 0 c
0 0 a c 0 0
0 0 a c 0 a
0 0 a c 0 b
0 0 a c 0 c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 b a 0 0
0 0 b a 0 a
0 0 b a 0 b
0 0 b a 0 c
0 0 b b 0 0
0 0 b b 0 a
0 0 b b 0 b
0 0 b b 0 c
0 0 b c 0 0
0 0 b c 0 a
0 0 b c 0 b
0 0 b c 0 c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c
0 0 c a 0 0
0 0 c a 0 a
0 0 c a 0 b
0 0 c a 0 c
0 0 c b 0 0
0 0 c b 0 a
0 0 c b 0 b
0 0 c b 0 c
0 0 c c 0 0
0 0 c c 0 a
0 0 c c 0 b
0 0 c c 0 c

Is it a nice code?: No

Generator Matrix-148

a 0 0 0 a 0
0 a 0 0 a 0
b 0 0 0 b 0
0 b 0 0 b 0
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b 0 0 b 0
0 b c 0 a c
b 0 0 0 b 0
b 0 c 0 a c
b b 0 0 0 0
b b c 0 c c
0 a 0 0 a 0
0 a c 0 b c
0 c 0 0 c 0
0 c c 0 0 c
b a 0 0 c 0
b a c 0 0 c
b c 0 0 a 0
b c c 0 b c
a 0 0 0 a 0
a 0 c 0 b c
a b 0 0 c 0
a b c 0 0 c
c 0 0 0 c 0
c 0 c 0 0 c
c b 0 0 a 0
c b c 0 b c
a a 0 0 0 0
a a c 0 c c
a c 0 0 b 0
a c c 0 a c
c a 0 0 b 0
c a c 0 a c
c c 0 0 0 0
c c c 0 c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 9x2 + 9x3 + 6x4 + 7x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_b)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_b)2 (X_c)3 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_b)2 (X_c)3 + (X_0)4 (X_a)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_c)3 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 a a 0 0
0 0 a a 0 a
0 0 a a 0 b
0 0 a a 0 c
0 0 a b 0 0
0 0 a b 0 a
0 0 a b 0 b
0 0 a b 0 c
0 0 a c 0 0
0 0 a c 0 a
0 0 a c 0 b
0 0 a c 0 c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 b a 0 0
0 0 b a 0 a
0 0 b a 0 b
0 0 b a 0 c
0 0 b b 0 0
0 0 b b 0 a
0 0 b b 0 b
0 0 b b 0 c
0 0 b c 0 0
0 0 b c 0 a
0 0 b c 0 b
0 0 b c 0 c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c
0 0 c a 0 0
0 0 c a 0 a
0 0 c a 0 b
0 0 c a 0 c
0 0 c b 0 0
0 0 c b 0 a
0 0 c b 0 b
0 0 c b 0 c
0 0 c c 0 0
0 0 c c 0 a
0 0 c c 0 b
0 0 c c 0 c

Is it a nice code?: No

Generator Matrix-149

a 0 0 0 a 0
0 a 0 0 a 0
b 0 0 0 b 0
0 b 0 0 b 0
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b 0 0 b 0
0 b c c b 0
b 0 0 0 b 0
b 0 c c b 0
b b 0 0 0 0
b b c c 0 0
0 a 0 0 a 0
0 a c c a 0
0 c 0 0 c 0
0 c c c c 0
b a 0 0 c 0
b a c c c 0
b c 0 0 a 0
b c c c a 0
a 0 0 0 a 0
a 0 c c a 0
a b 0 0 c 0
a b c c c 0
c 0 0 0 c 0
c 0 c c c 0
c b 0 0 a 0
c b c c a 0
a a 0 0 0 0
a a c c 0 0
a c 0 0 b 0
a c c c b 0
c a 0 0 b 0
c a c c b 0
c c 0 0 0 0
c c c c 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 10x2 + 6x3 + 9x4 + 6x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 a a 0 0
0 0 a a 0 a
0 0 a a 0 b
0 0 a a 0 c
0 0 a b 0 0
0 0 a b 0 a
0 0 a b 0 b
0 0 a b 0 c
0 0 a c 0 0
0 0 a c 0 a
0 0 a c 0 b
0 0 a c 0 c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 b a 0 0
0 0 b a 0 a
0 0 b a 0 b
0 0 b a 0 c
0 0 b b 0 0
0 0 b b 0 a
0 0 b b 0 b
0 0 b b 0 c
0 0 b c 0 0
0 0 b c 0 a
0 0 b c 0 b
0 0 b c 0 c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c
0 0 c a 0 0
0 0 c a 0 a
0 0 c a 0 b
0 0 c a 0 c
0 0 c b 0 0
0 0 c b 0 a
0 0 c b 0 b
0 0 c b 0 c
0 0 c c 0 0
0 0 c c 0 a
0 0 c c 0 b
0 0 c c 0 c

Is it a nice code?: No

Generator Matrix-150

a 0 0 0 a 0
0 a 0 0 a 0
b 0 0 0 b 0
0 b 0 0 b 0
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b 0 0 b 0
0 b c c b c
b 0 0 0 b 0
b 0 c c b c
b b 0 0 0 0
b b c c 0 c
0 a 0 0 a 0
0 a c c a c
0 c 0 0 c 0
0 c c c c c
b a 0 0 c 0
b a c c c c
b c 0 0 a 0
b c c c a c
a 0 0 0 a 0
a 0 c c a c
a b 0 0 c 0
a b c c c c
c 0 0 0 c 0
c 0 c c c c
c b 0 0 a 0
c b c c a c
a a 0 0 0 0
a a c c 0 c
a c 0 0 b 0
a c c c b c
c a 0 0 b 0
c a c c b c
c c 0 0 0 0
c c c c 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 9x2 + 7x3 + 0x4 + 9x5 + 6x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)4 (X_b)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)4 (X_b)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)4 (X_b)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)4 (X_a)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_a)1 (X_b)1 (X_c)4 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_a)1 (X_b)1 (X_c)4 + (X_0)4 (X_a)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_a)1 (X_b)1 (X_c)4 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_a)1 (X_b)1 (X_c)4 + (X_0)4 (X_a)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_a)1 (X_b)1 (X_c)4 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_a)1 (X_b)1 (X_c)4 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 a a 0 0
0 0 a a 0 a
0 0 a a 0 b
0 0 a a 0 c
0 0 a b 0 0
0 0 a b 0 a
0 0 a b 0 b
0 0 a b 0 c
0 0 a c 0 0
0 0 a c 0 a
0 0 a c 0 b
0 0 a c 0 c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 b a 0 0
0 0 b a 0 a
0 0 b a 0 b
0 0 b a 0 c
0 0 b b 0 0
0 0 b b 0 a
0 0 b b 0 b
0 0 b b 0 c
0 0 b c 0 0
0 0 b c 0 a
0 0 b c 0 b
0 0 b c 0 c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c
0 0 c a 0 0
0 0 c a 0 a
0 0 c a 0 b
0 0 c a 0 c
0 0 c b 0 0
0 0 c b 0 a
0 0 c b 0 b
0 0 c b 0 c
0 0 c c 0 0
0 0 c c 0 a
0 0 c c 0 b
0 0 c c 0 c

Is it a nice code?: No

Generator Matrix-151

a 0 0 0 a 0
0 a 0 0 a 0
b 0 0 0 b 0
0 b 0 0 b 0
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b 0 0 b 0
0 b c c a 0
b 0 0 0 b 0
b 0 c c a 0
b b 0 0 0 0
b b c c c 0
0 a 0 0 a 0
0 a c c b 0
0 c 0 0 c 0
0 c c c 0 0
b a 0 0 c 0
b a c c 0 0
b c 0 0 a 0
b c c c b 0
a 0 0 0 a 0
a 0 c c b 0
a b 0 0 c 0
a b c c 0 0
c 0 0 0 c 0
c 0 c c 0 0
c b 0 0 a 0
c b c c b 0
a a 0 0 0 0
a a c c c 0
a c 0 0 b 0
a c c c a 0
c a 0 0 b 0
c a c c a 0
c c 0 0 0 0
c c c c c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 9x2 + 9x3 + 6x4 + 7x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_b)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_b)2 (X_c)3 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_b)2 (X_c)3 + (X_0)4 (X_a)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_c)3 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 a a 0 0
0 0 a a 0 a
0 0 a a 0 b
0 0 a a 0 c
0 0 a b 0 0
0 0 a b 0 a
0 0 a b 0 b
0 0 a b 0 c
0 0 a c 0 0
0 0 a c 0 a
0 0 a c 0 b
0 0 a c 0 c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 b a 0 0
0 0 b a 0 a
0 0 b a 0 b
0 0 b a 0 c
0 0 b b 0 0
0 0 b b 0 a
0 0 b b 0 b
0 0 b b 0 c
0 0 b c 0 0
0 0 b c 0 a
0 0 b c 0 b
0 0 b c 0 c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c
0 0 c a 0 0
0 0 c a 0 a
0 0 c a 0 b
0 0 c a 0 c
0 0 c b 0 0
0 0 c b 0 a
0 0 c b 0 b
0 0 c b 0 c
0 0 c c 0 0
0 0 c c 0 a
0 0 c c 0 b
0 0 c c 0 c

Is it a nice code?: No

Generator Matrix-152

a 0 0 0 a 0
0 a 0 0 a 0
b 0 0 0 b 0
0 b 0 0 b 0
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b 0 0 b 0
0 b c c a c
b 0 0 0 b 0
b 0 c c a c
b b 0 0 0 0
b b c c c c
0 a 0 0 a 0
0 a c c b c
0 c 0 0 c 0
0 c c c 0 c
b a 0 0 c 0
b a c c 0 c
b c 0 0 a 0
b c c c b c
a 0 0 0 a 0
a 0 c c b c
a b 0 0 c 0
a b c c 0 c
c 0 0 0 c 0
c 0 c c 0 c
c b 0 0 a 0
c b c c b c
a a 0 0 0 0
a a c c c c
a c 0 0 b 0
a c c c a c
c a 0 0 b 0
c a c c a c
c c 0 0 0 0
c c c c c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 9x2 + 6x3 + 3x4 + 6x5 + 7x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)4 (X_b)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_b)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_b)2 + (X_b)2 (X_c)4 + (X_0)4 (X_a)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_b)2 (X_c)4 + (X_0)4 (X_a)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_b)2 (X_c)4 + (X_0)4 (X_a)2 + (X_a)2 (X_c)4 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_a)2 (X_c)4 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_a)2 (X_c)4 + (X_0)4 (X_c)2 + (X_c)6

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 a a 0 0
0 0 a a 0 a
0 0 a a 0 b
0 0 a a 0 c
0 0 a b 0 0
0 0 a b 0 a
0 0 a b 0 b
0 0 a b 0 c
0 0 a c 0 0
0 0 a c 0 a
0 0 a c 0 b
0 0 a c 0 c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 b a 0 0
0 0 b a 0 a
0 0 b a 0 b
0 0 b a 0 c
0 0 b b 0 0
0 0 b b 0 a
0 0 b b 0 b
0 0 b b 0 c
0 0 b c 0 0
0 0 b c 0 a
0 0 b c 0 b
0 0 b c 0 c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c
0 0 c a 0 0
0 0 c a 0 a
0 0 c a 0 b
0 0 c a 0 c
0 0 c b 0 0
0 0 c b 0 a
0 0 c b 0 b
0 0 c b 0 c
0 0 c c 0 0
0 0 c c 0 a
0 0 c c 0 b
0 0 c c 0 c

Is it a nice code?: No

Generator Matrix-153

a 0 0 0 a 0
0 a 0 0 a a
b 0 0 0 b 0
0 b 0 0 b b
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b 0 0 b b
0 b c 0 b b
b 0 0 0 b 0
b 0 c 0 b 0
b b 0 0 0 b
b b c 0 0 b
0 a 0 0 a a
0 a c 0 a a
0 c 0 0 c c
0 c c 0 c c
b a 0 0 c a
b a c 0 c a
b c 0 0 a c
b c c 0 a c
a 0 0 0 a 0
a 0 c 0 a 0
a b 0 0 c b
a b c 0 c b
c 0 0 0 c 0
c 0 c 0 c 0
c b 0 0 a b
c b c 0 a b
a a 0 0 0 a
a a c 0 0 a
a c 0 0 b c
a c c 0 b c
c a 0 0 b a
c a c 0 b a
c c 0 0 0 c
c c c 0 0 c

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 3x2 + 9x3 + 12x4 + 6x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_b)3 (X_c)1 + (X_0)4 (X_b)2 + (X_0)3 (X_b)2 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_b)3 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)3 (X_c)1 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_a)2 + (X_0)3 (X_a)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)3 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0
0 0 a 0 0 0
0 0 a a 0 0
0 0 a b 0 0
0 0 a c 0 0
0 0 b 0 0 0
0 0 b a 0 0
0 0 b b 0 0
0 0 b c 0 0
0 0 c 0 0 0
0 0 c a 0 0
0 0 c b 0 0
0 0 c c 0 0

Is it a nice code?: No

Generator Matrix-154

a 0 0 0 a 0
0 a 0 0 a a
b 0 0 0 b 0
0 b 0 0 b b
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b 0 0 b b
0 b c 0 b a
b 0 0 0 b 0
b 0 c 0 b c
b b 0 0 0 b
b b c 0 0 a
0 a 0 0 a a
0 a c 0 a b
0 c 0 0 c c
0 c c 0 c 0
b a 0 0 c a
b a c 0 c b
b c 0 0 a c
b c c 0 a 0
a 0 0 0 a 0
a 0 c 0 a c
a b 0 0 c b
a b c 0 c a
c 0 0 0 c 0
c 0 c 0 c c
c b 0 0 a b
c b c 0 a a
a a 0 0 0 a
a a c 0 0 b
a c 0 0 b c
a c c 0 b 0
c a 0 0 b a
c a c 0 b b
c c 0 0 0 c
c c c 0 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 8x3 + 15x4 + 4x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0
0 0 a 0 0 0
0 0 a a 0 0
0 0 a b 0 0
0 0 a c 0 0
0 0 b 0 0 0
0 0 b a 0 0
0 0 b b 0 0
0 0 b c 0 0
0 0 c 0 0 0
0 0 c a 0 0
0 0 c b 0 0
0 0 c c 0 0

Is it a nice code?: No

Generator Matrix-155

a 0 0 0 a 0
0 a 0 0 a a
b 0 0 0 b 0
0 b 0 0 b b
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b 0 0 b b
0 b c 0 a b
b 0 0 0 b 0
b 0 c 0 a 0
b b 0 0 0 b
b b c 0 c b
0 a 0 0 a a
0 a c 0 b a
0 c 0 0 c c
0 c c 0 0 c
b a 0 0 c a
b a c 0 0 a
b c 0 0 a c
b c c 0 b c
a 0 0 0 a 0
a 0 c 0 b 0
a b 0 0 c b
a b c 0 0 b
c 0 0 0 c 0
c 0 c 0 0 0
c b 0 0 a b
c b c 0 b b
a a 0 0 0 a
a a c 0 c a
a c 0 0 b c
a c c 0 a c
c a 0 0 b a
c a c 0 a a
c c 0 0 0 c
c c c 0 c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 5x2 + 9x3 + 10x4 + 7x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)4 (X_b)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)3 (X_b)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)4 (X_a)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0
0 0 a 0 0 0
0 0 a a 0 0
0 0 a b 0 0
0 0 a c 0 0
0 0 b 0 0 0
0 0 b a 0 0
0 0 b b 0 0
0 0 b c 0 0
0 0 c 0 0 0
0 0 c a 0 0
0 0 c b 0 0
0 0 c c 0 0

Is it a nice code?: No

Generator Matrix-156

a 0 0 0 a 0
0 a 0 0 a a
b 0 0 0 b 0
0 b 0 0 b b
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b 0 0 b b
0 b c 0 a a
b 0 0 0 b 0
b 0 c 0 a c
b b 0 0 0 b
b b c 0 c a
0 a 0 0 a a
0 a c 0 b b
0 c 0 0 c c
0 c c 0 0 0
b a 0 0 c a
b a c 0 0 b
b c 0 0 a c
b c c 0 b 0
a 0 0 0 a 0
a 0 c 0 b c
a b 0 0 c b
a b c 0 0 a
c 0 0 0 c 0
c 0 c 0 0 c
c b 0 0 a b
c b c 0 b a
a a 0 0 0 a
a a c 0 c b
a c 0 0 b c
a c c 0 a 0
c a 0 0 b a
c a c 0 a b
c c 0 0 0 c
c c c 0 c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 8x3 + 15x4 + 4x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0
0 0 a 0 0 0
0 0 a a 0 0
0 0 a b 0 0
0 0 a c 0 0
0 0 b 0 0 0
0 0 b a 0 0
0 0 b b 0 0
0 0 b c 0 0
0 0 c 0 0 0
0 0 c a 0 0
0 0 c b 0 0
0 0 c c 0 0

Is it a nice code?: No

Generator Matrix-157

a 0 0 0 a 0
0 a 0 0 a a
b 0 0 0 b 0
0 b 0 0 b b
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b 0 0 b b
0 b c c b b
b 0 0 0 b 0
b 0 c c b 0
b b 0 0 0 b
b b c c 0 b
0 a 0 0 a a
0 a c c a a
0 c 0 0 c c
0 c c c c c
b a 0 0 c a
b a c c c a
b c 0 0 a c
b c c c a c
a 0 0 0 a 0
a 0 c c a 0
a b 0 0 c b
a b c c c b
c 0 0 0 c 0
c 0 c c c 0
c b 0 0 a b
c b c c a b
a a 0 0 0 a
a a c c 0 a
a c 0 0 b c
a c c c b c
c a 0 0 b a
c a c c b a
c c 0 0 0 c
c c c c 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 6x3 + 9x4 + 6x5 + 6x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)3 (X_b)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_a)1 (X_b)1 (X_c)4 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_a)1 (X_b)1 (X_c)4 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0
0 0 a 0 0 0
0 0 a a 0 0
0 0 a b 0 0
0 0 a c 0 0
0 0 b 0 0 0
0 0 b a 0 0
0 0 b b 0 0
0 0 b c 0 0
0 0 c 0 0 0
0 0 c a 0 0
0 0 c b 0 0
0 0 c c 0 0

Is it a nice code?: No

Generator Matrix-158

a 0 0 0 a 0
0 a 0 0 a a
b 0 0 0 b 0
0 b 0 0 b b
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b 0 0 b b
0 b c c b a
b 0 0 0 b 0
b 0 c c b c
b b 0 0 0 b
b b c c 0 a
0 a 0 0 a a
0 a c c a b
0 c 0 0 c c
0 c c c c 0
b a 0 0 c a
b a c c c b
b c 0 0 a c
b c c c a 0
a 0 0 0 a 0
a 0 c c a c
a b 0 0 c b
a b c c c a
c 0 0 0 c 0
c 0 c c c c
c b 0 0 a b
c b c c a a
a a 0 0 0 a
a a c c 0 b
a c 0 0 b c
a c c c b 0
c a 0 0 b a
c a c c b b
c c 0 0 0 c
c c c c 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 7x3 + 8x4 + 9x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)4 (X_b)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_a)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0
0 0 a 0 0 0
0 0 a a 0 0
0 0 a b 0 0
0 0 a c 0 0
0 0 b 0 0 0
0 0 b a 0 0
0 0 b b 0 0
0 0 b c 0 0
0 0 c 0 0 0
0 0 c a 0 0
0 0 c b 0 0
0 0 c c 0 0

Is it a nice code?: No

Generator Matrix-159

a 0 0 0 a 0
0 a 0 0 a a
b 0 0 0 b 0
0 b 0 0 b b
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b 0 0 b b
0 b c c a b
b 0 0 0 b 0
b 0 c c a 0
b b 0 0 0 b
b b c c c b
0 a 0 0 a a
0 a c c b a
0 c 0 0 c c
0 c c c 0 c
b a 0 0 c a
b a c c 0 a
b c 0 0 a c
b c c c b c
a 0 0 0 a 0
a 0 c c b 0
a b 0 0 c b
a b c c 0 b
c 0 0 0 c 0
c 0 c c 0 0
c b 0 0 a b
c b c c b b
a a 0 0 0 a
a a c c c a
a c 0 0 b c
a c c c a c
c a 0 0 b a
c a c c a a
c c 0 0 0 c
c c c c c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 8x3 + 9x4 + 4x5 + 7x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_b)3 + (X_b)3 (X_c)3 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_b)2 (X_c)4 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_b)3 (X_c)3 + (X_0)3 (X_a)3 + (X_a)3 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_a)2 (X_c)4 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)3 (X_c)3 + (X_0)3 (X_c)3 + (X_c)6

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0
0 0 a 0 0 0
0 0 a a 0 0
0 0 a b 0 0
0 0 a c 0 0
0 0 b 0 0 0
0 0 b a 0 0
0 0 b b 0 0
0 0 b c 0 0
0 0 c 0 0 0
0 0 c a 0 0
0 0 c b 0 0
0 0 c c 0 0

Is it a nice code?: No

Generator Matrix-160

a 0 0 0 a 0
0 a 0 0 a a
b 0 0 0 b 0
0 b 0 0 b b
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b 0 0 b b
0 b c c a a
b 0 0 0 b 0
b 0 c c a c
b b 0 0 0 b
b b c c c a
0 a 0 0 a a
0 a c c b b
0 c 0 0 c c
0 c c c 0 0
b a 0 0 c a
b a c c 0 b
b c 0 0 a c
b c c c b 0
a 0 0 0 a 0
a 0 c c b c
a b 0 0 c b
a b c c 0 a
c 0 0 0 c 0
c 0 c c 0 c
c b 0 0 a b
c b c c b a
a a 0 0 0 a
a a c c c b
a c 0 0 b c
a c c c a 0
c a 0 0 b a
c a c c a b
c c 0 0 0 c
c c c c c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 7x3 + 8x4 + 9x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)3 (X_b)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)4 (X_b)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_b)3 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)4 (X_a)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)3 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0
0 0 a 0 0 0
0 0 a a 0 0
0 0 a b 0 0
0 0 a c 0 0
0 0 b 0 0 0
0 0 b a 0 0
0 0 b b 0 0
0 0 b c 0 0
0 0 c 0 0 0
0 0 c a 0 0
0 0 c b 0 0
0 0 c c 0 0

Is it a nice code?: No

Generator Matrix-161

a 0 0 0 a 0
0 a 0 a 0 0
b 0 0 0 b 0
0 b 0 b 0 0
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b 0 b 0 0
0 b c b 0 0
b 0 0 0 b 0
b 0 c 0 b 0
b b 0 b b 0
b b c b b 0
0 a 0 a 0 0
0 a c a 0 0
0 c 0 c 0 0
0 c c c 0 0
b a 0 a b 0
b a c a b 0
b c 0 c b 0
b c c c b 0
a 0 0 0 a 0
a 0 c 0 a 0
a b 0 b a 0
a b c b a 0
c 0 0 0 c 0
c 0 c 0 c 0
c b 0 b c 0
c b c b c 0
a a 0 a a 0
a a c a a 0
a c 0 c a 0
a c c c a 0
c a 0 a c 0
c a c a c 0
c c 0 c c 0
c c c c c 0

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 6x2 + 6x3 + 9x4 + 9x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)4 (X_b)2 + (X_0)3 (X_b)2 (X_c)1 + (X_0)4 (X_b)2 + (X_0)3 (X_b)2 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_b)4 (X_c)1 + (X_0)4 (X_a)2 + (X_0)3 (X_a)2 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_b)2 (X_c)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)4 (X_a)2 + (X_0)3 (X_a)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_b)2 (X_c)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)4 + (X_0)1 (X_a)4 (X_c)1 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c

Is it a nice code?: No

Generator Matrix-162

a 0 0 0 a 0
0 a 0 a 0 0
b 0 0 0 b 0
0 b 0 b 0 0
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b 0 b 0 0
0 b c b 0 c
b 0 0 0 b 0
b 0 c 0 b c
b b 0 b b 0
b b c b b c
0 a 0 a 0 0
0 a c a 0 c
0 c 0 c 0 0
0 c c c 0 c
b a 0 a b 0
b a c a b c
b c 0 c b 0
b c c c b c
a 0 0 0 a 0
a 0 c 0 a c
a b 0 b a 0
a b c b a c
c 0 0 0 c 0
c 0 c 0 c c
c b 0 b c 0
c b c b c c
a a 0 a a 0
a a c a a c
a c 0 c a 0
a c c c a c
c a 0 a c 0
c a c a c c
c c 0 c c 0
c c c c c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 7x2 + 0x3 + 15x4 + 0x5 + 9x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_b)4 + (X_b)4 (X_c)2 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_a)2 (X_b)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_b)2 (X_c)2 + (X_b)2 (X_c)4 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_b)2 (X_c)2 + (X_b)2 (X_c)4 + (X_0)2 (X_a)4 + (X_a)4 (X_c)2 + (X_0)2 (X_a)2 (X_c)2 + (X_a)2 (X_c)4 + (X_0)2 (X_a)2 (X_c)2 + (X_a)2 (X_c)4 + (X_0)2 (X_c)4 + (X_c)6

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c

Is it a nice code?: No

Generator Matrix-163

a 0 0 0 a 0
0 a 0 a 0 0
b 0 0 0 b 0
0 b 0 b 0 0
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b 0 b 0 0
0 b c b c 0
b 0 0 0 b 0
b 0 c 0 a 0
b b 0 b b 0
b b c b a 0
0 a 0 a 0 0
0 a c a c 0
0 c 0 c 0 0
0 c c c c 0
b a 0 a b 0
b a c a a 0
b c 0 c b 0
b c c c a 0
a 0 0 0 a 0
a 0 c 0 b 0
a b 0 b a 0
a b c b b 0
c 0 0 0 c 0
c 0 c 0 0 0
c b 0 b c 0
c b c b 0 0
a a 0 a a 0
a a c a b 0
a c 0 c a 0
a c c c b 0
c a 0 a c 0
c a c a 0 0
c c 0 c c 0
c c c c 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 8x2 + 2x3 + 15x4 + 6x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)4 (X_b)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_a)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c

Is it a nice code?: No

Generator Matrix-164

a 0 0 0 a 0
0 a 0 a 0 0
b 0 0 0 b 0
0 b 0 b 0 0
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b 0 b 0 0
0 b c b c c
b 0 0 0 b 0
b 0 c 0 a c
b b 0 b b 0
b b c b a c
0 a 0 a 0 0
0 a c a c c
0 c 0 c 0 0
0 c c c c c
b a 0 a b 0
b a c a a c
b c 0 c b 0
b c c c a c
a 0 0 0 a 0
a 0 c 0 b c
a b 0 b a 0
a b c b b c
c 0 0 0 c 0
c 0 c 0 0 c
c b 0 b c 0
c b c b 0 c
a a 0 a a 0
a a c a b c
a c 0 c a 0
a c c c b c
c a 0 a c 0
c a c a 0 c
c c 0 c c 0
c c c c 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 6x2 + 2x3 + 11x4 + 6x5 + 6x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)4 (X_b)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_b)4 + (X_a)1 (X_b)3 (X_c)2 + (X_0)4 (X_a)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5 + (X_0)2 (X_a)2 (X_b)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_b)2 (X_c)2 + (X_a)1 (X_b)1 (X_c)4 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_b)2 (X_c)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)4 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_c)2 + (X_a)1 (X_b)1 (X_c)4 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c

Is it a nice code?: No

Generator Matrix-165

a 0 0 0 a 0
0 a 0 a 0 0
b 0 0 0 b 0
0 b 0 b 0 0
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b 0 b 0 0
0 b c a 0 0
b 0 0 0 b 0
b 0 c c b 0
b b 0 b b 0
b b c a b 0
0 a 0 a 0 0
0 a c b 0 0
0 c 0 c 0 0
0 c c 0 0 0
b a 0 a b 0
b a c b b 0
b c 0 c b 0
b c c 0 b 0
a 0 0 0 a 0
a 0 c c a 0
a b 0 b a 0
a b c a a 0
c 0 0 0 c 0
c 0 c c c 0
c b 0 b c 0
c b c a c 0
a a 0 a a 0
a a c b a 0
a c 0 c a 0
a c c 0 a 0
c a 0 a c 0
c a c b c 0
c c 0 c c 0
c c c 0 c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 8x2 + 2x3 + 15x4 + 6x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_b)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)4 (X_a)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c

Is it a nice code?: No

Generator Matrix-166

a 0 0 0 a 0
0 a 0 a 0 0
b 0 0 0 b 0
0 b 0 b 0 0
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b 0 b 0 0
0 b c a 0 c
b 0 0 0 b 0
b 0 c c b c
b b 0 b b 0
b b c a b c
0 a 0 a 0 0
0 a c b 0 c
0 c 0 c 0 0
0 c c 0 0 c
b a 0 a b 0
b a c b b c
b c 0 c b 0
b c c 0 b c
a 0 0 0 a 0
a 0 c c a c
a b 0 b a 0
a b c a a c
c 0 0 0 c 0
c 0 c c c c
c b 0 b c 0
c b c a c c
a a 0 a a 0
a a c b a c
a c 0 c a 0
a c c 0 a c
c a 0 a c 0
c a c b c c
c c 0 c c 0
c c c 0 c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 6x2 + 2x3 + 11x4 + 6x5 + 6x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_b)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)2 (X_b)4 + (X_a)1 (X_b)3 (X_c)2 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_a)2 (X_b)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)4 (X_a)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)2 (X_a)2 (X_b)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5 + (X_0)2 (X_b)2 (X_c)2 + (X_a)1 (X_b)1 (X_c)4 + (X_0)2 (X_a)4 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)2 (X_a)2 (X_c)2 + (X_a)1 (X_b)1 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c

Is it a nice code?: No

Generator Matrix-167

a 0 0 0 a 0
0 a 0 a 0 0
b 0 0 0 b 0
0 b 0 b 0 0
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b 0 b 0 0
0 b c a c 0
b 0 0 0 b 0
b 0 c c a 0
b b 0 b b 0
b b c a a 0
0 a 0 a 0 0
0 a c b c 0
0 c 0 c 0 0
0 c c 0 c 0
b a 0 a b 0
b a c b a 0
b c 0 c b 0
b c c 0 a 0
a 0 0 0 a 0
a 0 c c b 0
a b 0 b a 0
a b c a b 0
c 0 0 0 c 0
c 0 c c 0 0
c b 0 b c 0
c b c a 0 0
a a 0 a a 0
a a c b b 0
a c 0 c a 0
a c c 0 b 0
c a 0 a c 0
c a c b 0 0
c c 0 c c 0
c c c 0 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 6x2 + 4x3 + 17x4 + 4x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c

Is it a nice code?: No

Generator Matrix-168

a 0 0 0 a 0
0 a 0 a 0 0
b 0 0 0 b 0
0 b 0 b 0 0
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b 0 b 0 0
0 b c a c c
b 0 0 0 b 0
b 0 c c a c
b b 0 b b 0
b b c a a c
0 a 0 a 0 0
0 a c b c c
0 c 0 c 0 0
0 c c 0 c c
b a 0 a b 0
b a c b a c
b c 0 c b 0
b c c 0 a c
a 0 0 0 a 0
a 0 c c b c
a b 0 b a 0
a b c a b c
c 0 0 0 c 0
c 0 c c 0 c
c b 0 b c 0
c b c a 0 c
a a 0 a a 0
a a c b b c
a c 0 c a 0
a c c 0 b c
c a 0 a c 0
c a c b 0 c
c c 0 c c 0
c c c 0 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 6x2 + 0x3 + 13x4 + 8x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)4 (X_b)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_b)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_b)4 + (X_a)2 (X_b)2 (X_c)2 + (X_0)4 (X_a)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_a)2 (X_b)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_a)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)2 (X_b)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)4 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c

Is it a nice code?: No

Generator Matrix-169

a 0 0 0 a 0
0 a 0 a 0 a
b 0 0 0 b 0
0 b 0 b 0 b
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b 0 b 0 b
0 b c b 0 b
b 0 0 0 b 0
b 0 c 0 b 0
b b 0 b b b
b b c b b b
0 a 0 a 0 a
0 a c a 0 a
0 c 0 c 0 c
0 c c c 0 c
b a 0 a b a
b a c a b a
b c 0 c b c
b c c c b c
a 0 0 0 a 0
a 0 c 0 a 0
a b 0 b a b
a b c b a b
c 0 0 0 c 0
c 0 c 0 c 0
c b 0 b c b
c b c b c b
a a 0 a a a
a a c a a a
a c 0 c a c
a c c c a c
c a 0 a c a
c a c a c a
c c 0 c c c
c c c c c c

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 3x2 + 6x3 + 3x4 + 9x5 + 9x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_b)3 (X_c)1 + (X_0)4 (X_b)2 + (X_0)3 (X_b)2 (X_c)1 + (X_0)1 (X_b)5 + (X_b)5 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)3 (X_c)1 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_a)3 (X_b)2 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_b)2 (X_c)3 + (X_b)2 (X_c)4 + (X_0)4 (X_a)2 + (X_0)3 (X_a)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_a)2 (X_b)3 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_b)3 (X_c)2 + (X_b)3 (X_c)3 + (X_0)1 (X_a)5 + (X_a)5 (X_c)1 + (X_0)1 (X_a)2 (X_c)3 + (X_a)2 (X_c)4 + (X_0)1 (X_a)3 (X_c)2 + (X_a)3 (X_c)3 + (X_0)1 (X_c)5 + (X_c)6

Dual Codewords:

0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0

Is it a nice code?: No

Generator Matrix-170

a 0 0 0 a 0
0 a 0 a 0 a
b 0 0 0 b 0
0 b 0 b 0 b
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b 0 b 0 b
0 b c b 0 a
b 0 0 0 b 0
b 0 c 0 b c
b b 0 b b b
b b c b b a
0 a 0 a 0 a
0 a c a 0 b
0 c 0 c 0 c
0 c c c 0 0
b a 0 a b a
b a c a b b
b c 0 c b c
b c c c b 0
a 0 0 0 a 0
a 0 c 0 a c
a b 0 b a b
a b c b a a
c 0 0 0 c 0
c 0 c 0 c c
c b 0 b c b
c b c b c a
a a 0 a a a
a a c a a b
a c 0 c a c
a c c c a 0
c a 0 a c a
c a c a c b
c c 0 c c c
c c c c c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 4x3 + 5x4 + 12x5 + 6x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)1 (X_b)5 + (X_a)1 (X_b)4 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)3 (X_b)2 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_b)2 (X_c)3 + (X_0)1 (X_b)2 (X_c)3 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)3 + (X_a)3 (X_b)2 (X_c)1 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_b)3 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)5 + (X_a)4 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_c)3 + (X_0)1 (X_a)2 (X_c)3 + (X_0)1 (X_a)3 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0

Is it a nice code?: No

Generator Matrix-171

a 0 0 0 a 0
0 a 0 a 0 a
b 0 0 0 b 0
0 b 0 b 0 b
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b 0 b 0 b
0 b c b c b
b 0 0 0 b 0
b 0 c 0 a 0
b b 0 b b b
b b c b a b
0 a 0 a 0 a
0 a c a c a
0 c 0 c 0 c
0 c c c c c
b a 0 a b a
b a c a a a
b c 0 c b c
b c c c a c
a 0 0 0 a 0
a 0 c 0 b 0
a b 0 b a b
a b c b b b
c 0 0 0 c 0
c 0 c 0 0 0
c b 0 b c b
c b c b 0 b
a a 0 a a a
a a c a b a
a c 0 c a c
a c c c b c
c a 0 a c a
c a c a 0 a
c c 0 c c c
c c c c 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 5x2 + 5x3 + 0x4 + 15x5 + 6x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)4 (X_b)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_b)5 + (X_a)1 (X_b)4 (X_c)1 + (X_0)3 (X_a)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)1 (X_a)3 (X_b)2 + (X_a)4 (X_b)1 (X_c)1 + (X_0)1 (X_b)2 (X_c)3 + (X_a)1 (X_b)1 (X_c)4 + (X_0)4 (X_a)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_a)1 (X_b)4 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)1 (X_b)3 (X_c)2 + (X_0)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)5 + (X_a)4 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_c)3 + (X_a)1 (X_b)1 (X_c)4 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0

Is it a nice code?: No

Generator Matrix-172

a 0 0 0 a 0
0 a 0 a 0 a
b 0 0 0 b 0
0 b 0 b 0 b
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b 0 b 0 b
0 b c b c a
b 0 0 0 b 0
b 0 c 0 a c
b b 0 b b b
b b c b a a
0 a 0 a 0 a
0 a c a c b
0 c 0 c 0 c
0 c c c c 0
b a 0 a b a
b a c a a b
b c 0 c b c
b c c c a 0
a 0 0 0 a 0
a 0 c 0 b c
a b 0 b a b
a b c b b a
c 0 0 0 c 0
c 0 c 0 0 c
c b 0 b c b
c b c b 0 a
a a 0 a a a
a a c a b b
a c 0 c a c
a c c c b 0
c a 0 a c a
c a c a 0 b
c c 0 c c c
c c c c 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 5x3 + 4x4 + 15x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_b)5 + (X_a)2 (X_b)3 (X_c)1 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_a)3 (X_b)2 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)3 + (X_a)2 (X_b)3 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)5 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0

Is it a nice code?: No

Generator Matrix-173

a 0 0 0 a 0
0 a 0 a 0 a
b 0 0 0 b 0
0 b 0 b 0 b
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b 0 b 0 b
0 b c a 0 b
b 0 0 0 b 0
b 0 c c b 0
b b 0 b b b
b b c a b b
0 a 0 a 0 a
0 a c b 0 a
0 c 0 c 0 c
0 c c 0 0 c
b a 0 a b a
b a c b b a
b c 0 c b c
b c c 0 b c
a 0 0 0 a 0
a 0 c c a 0
a b 0 b a b
a b c a a b
c 0 0 0 c 0
c 0 c c c 0
c b 0 b c b
c b c a c b
a a 0 a a a
a a c b a a
a c 0 c a c
a c c 0 a c
c a 0 a c a
c a c b c a
c c 0 c c c
c c c 0 c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 4x3 + 5x4 + 12x5 + 6x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)1 (X_b)5 + (X_a)1 (X_b)4 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)3 (X_b)2 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_b)2 (X_c)3 + (X_0)1 (X_b)2 (X_c)3 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)3 + (X_a)3 (X_b)2 (X_c)1 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_b)3 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)5 + (X_a)4 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_c)3 + (X_0)1 (X_a)2 (X_c)3 + (X_0)1 (X_a)3 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0

Is it a nice code?: No

Generator Matrix-174

a 0 0 0 a 0
0 a 0 a 0 a
b 0 0 0 b 0
0 b 0 b 0 b
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b 0 b 0 b
0 b c a 0 a
b 0 0 0 b 0
b 0 c c b c
b b 0 b b b
b b c a b a
0 a 0 a 0 a
0 a c b 0 b
0 c 0 c 0 c
0 c c 0 0 0
b a 0 a b a
b a c b b b
b c 0 c b c
b c c 0 b 0
a 0 0 0 a 0
a 0 c c a c
a b 0 b a b
a b c a a a
c 0 0 0 c 0
c 0 c c c c
c b 0 b c b
c b c a c a
a a 0 a a a
a a c b a b
a c 0 c a c
a c c 0 a 0
c a 0 a c a
c a c b c b
c c 0 c c c
c c c 0 c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 4x3 + 5x4 + 12x5 + 6x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)4 (X_b)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)1 (X_b)5 + (X_a)2 (X_b)3 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_a)3 (X_b)2 + (X_a)1 (X_b)4 (X_c)1 + (X_0)1 (X_b)2 (X_c)3 + (X_0)2 (X_b)2 (X_c)2 + (X_0)4 (X_a)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)1 (X_a)2 (X_b)3 + (X_a)4 (X_b)1 (X_c)1 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5 + (X_0)1 (X_b)3 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)5 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_c)3 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)3 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0

Is it a nice code?: No

Generator Matrix-175

a 0 0 0 a 0
0 a 0 a 0 a
b 0 0 0 b 0
0 b 0 b 0 b
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b 0 b 0 b
0 b c a c b
b 0 0 0 b 0
b 0 c c a 0
b b 0 b b b
b b c a a b
0 a 0 a 0 a
0 a c b c a
0 c 0 c 0 c
0 c c 0 c c
b a 0 a b a
b a c b a a
b c 0 c b c
b c c 0 a c
a 0 0 0 a 0
a 0 c c b 0
a b 0 b a b
a b c a b b
c 0 0 0 c 0
c 0 c c 0 0
c b 0 b c b
c b c a 0 b
a a 0 a a a
a a c b b a
a c 0 c a c
a c c 0 b c
c a 0 a c a
c a c b 0 a
c c 0 c c c
c c c 0 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 5x3 + 4x4 + 15x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_b)5 + (X_a)2 (X_b)3 (X_c)1 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_a)3 (X_b)2 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)3 + (X_a)2 (X_b)3 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)5 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0

Is it a nice code?: No

Generator Matrix-176

a 0 0 0 a 0
0 a 0 a 0 a
b 0 0 0 b 0
0 b 0 b 0 b
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b 0 b 0 b
0 b c a c a
b 0 0 0 b 0
b 0 c c a c
b b 0 b b b
b b c a a a
0 a 0 a 0 a
0 a c b c b
0 c 0 c 0 c
0 c c 0 c 0
b a 0 a b a
b a c b a b
b c 0 c b c
b c c 0 a 0
a 0 0 0 a 0
a 0 c c b c
a b 0 b a b
a b c a b a
c 0 0 0 c 0
c 0 c c 0 c
c b 0 b c b
c b c a 0 a
a a 0 a a a
a a c b b b
a c 0 c a c
a c c 0 b 0
c a 0 a c a
c a c b 0 b
c c 0 c c c
c c c 0 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 5x3 + 4x4 + 15x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)3 (X_b)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)4 (X_b)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_b)5 + (X_a)3 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)3 (X_b)2 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_a)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)2 (X_b)3 + (X_a)3 (X_b)2 (X_c)1 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)5 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0

Is it a nice code?: No

Generator Matrix-177

a 0 0 0 a 0
0 a 0 a a 0
b 0 0 0 b 0
0 b 0 b b 0
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b 0 b b 0
0 b c b b 0
b 0 0 0 b 0
b 0 c 0 b 0
b b 0 b 0 0
b b c b 0 0
0 a 0 a a 0
0 a c a a 0
0 c 0 c c 0
0 c c c c 0
b a 0 a c 0
b a c a c 0
b c 0 c a 0
b c c c a 0
a 0 0 0 a 0
a 0 c 0 a 0
a b 0 b c 0
a b c b c 0
c 0 0 0 c 0
c 0 c 0 c 0
c b 0 b a 0
c b c b a 0
a a 0 a 0 0
a a c a 0 0
a c 0 c b 0
a c c c b 0
c a 0 a b 0
c a c a b 0
c c 0 c 0 0
c c c c 0 0

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 3x2 + 9x3 + 12x4 + 6x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_b)3 (X_c)1 + (X_0)4 (X_b)2 + (X_0)3 (X_b)2 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_b)3 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)3 (X_c)1 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_a)2 + (X_0)3 (X_a)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)3 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c

Is it a nice code?: No

Generator Matrix-178

a 0 0 0 a 0
0 a 0 a a 0
b 0 0 0 b 0
0 b 0 b b 0
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b 0 b b 0
0 b c b b c
b 0 0 0 b 0
b 0 c 0 b c
b b 0 b 0 0
b b c b 0 c
0 a 0 a a 0
0 a c a a c
0 c 0 c c 0
0 c c c c c
b a 0 a c 0
b a c a c c
b c 0 c a 0
b c c c a c
a 0 0 0 a 0
a 0 c 0 a c
a b 0 b c 0
a b c b c c
c 0 0 0 c 0
c 0 c 0 c c
c b 0 b a 0
c b c b a c
a a 0 a 0 0
a a c a 0 c
a c 0 c b 0
a c c c b c
c a 0 a b 0
c a c a b c
c c 0 c 0 0
c c c c 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 6x3 + 9x4 + 6x5 + 6x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)3 (X_b)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_a)1 (X_b)1 (X_c)4 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_a)1 (X_b)1 (X_c)4 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c

Is it a nice code?: No

Generator Matrix-179

a 0 0 0 a 0
0 a 0 a a 0
b 0 0 0 b 0
0 b 0 b b 0
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b 0 b b 0
0 b c b a 0
b 0 0 0 b 0
b 0 c 0 a 0
b b 0 b 0 0
b b c b c 0
0 a 0 a a 0
0 a c a b 0
0 c 0 c c 0
0 c c c 0 0
b a 0 a c 0
b a c a 0 0
b c 0 c a 0
b c c c b 0
a 0 0 0 a 0
a 0 c 0 b 0
a b 0 b c 0
a b c b 0 0
c 0 0 0 c 0
c 0 c 0 0 0
c b 0 b a 0
c b c b b 0
a a 0 a 0 0
a a c a c 0
a c 0 c b 0
a c c c a 0
c a 0 a b 0
c a c a a 0
c c 0 c 0 0
c c c c c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 5x2 + 9x3 + 10x4 + 7x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)4 (X_b)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)3 (X_b)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)4 (X_a)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c

Is it a nice code?: No

Generator Matrix-180

a 0 0 0 a 0
0 a 0 a a 0
b 0 0 0 b 0
0 b 0 b b 0
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b 0 b b 0
0 b c b a c
b 0 0 0 b 0
b 0 c 0 a c
b b 0 b 0 0
b b c b c c
0 a 0 a a 0
0 a c a b c
0 c 0 c c 0
0 c c c 0 c
b a 0 a c 0
b a c a 0 c
b c 0 c a 0
b c c c b c
a 0 0 0 a 0
a 0 c 0 b c
a b 0 b c 0
a b c b 0 c
c 0 0 0 c 0
c 0 c 0 0 c
c b 0 b a 0
c b c b b c
a a 0 a 0 0
a a c a c c
a c 0 c b 0
a c c c a c
c a 0 a b 0
c a c a a c
c c 0 c 0 0
c c c c c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 8x3 + 9x4 + 4x5 + 7x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_b)3 + (X_b)3 (X_c)3 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_b)2 (X_c)4 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_b)3 (X_c)3 + (X_0)3 (X_a)3 + (X_a)3 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_a)2 (X_c)4 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)3 (X_c)3 + (X_0)3 (X_c)3 + (X_c)6

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c

Is it a nice code?: No

Generator Matrix-181

a 0 0 0 a 0
0 a 0 a a 0
b 0 0 0 b 0
0 b 0 b b 0
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b 0 b b 0
0 b c a b 0
b 0 0 0 b 0
b 0 c c b 0
b b 0 b 0 0
b b c a 0 0
0 a 0 a a 0
0 a c b a 0
0 c 0 c c 0
0 c c 0 c 0
b a 0 a c 0
b a c b c 0
b c 0 c a 0
b c c 0 a 0
a 0 0 0 a 0
a 0 c c a 0
a b 0 b c 0
a b c a c 0
c 0 0 0 c 0
c 0 c c c 0
c b 0 b a 0
c b c a a 0
a a 0 a 0 0
a a c b 0 0
a c 0 c b 0
a c c 0 b 0
c a 0 a b 0
c a c b b 0
c c 0 c 0 0
c c c 0 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 8x3 + 15x4 + 4x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c

Is it a nice code?: No

Generator Matrix-182

a 0 0 0 a 0
0 a 0 a a 0
b 0 0 0 b 0
0 b 0 b b 0
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b 0 b b 0
0 b c a b c
b 0 0 0 b 0
b 0 c c b c
b b 0 b 0 0
b b c a 0 c
0 a 0 a a 0
0 a c b a c
0 c 0 c c 0
0 c c 0 c c
b a 0 a c 0
b a c b c c
b c 0 c a 0
b c c 0 a c
a 0 0 0 a 0
a 0 c c a c
a b 0 b c 0
a b c a c c
c 0 0 0 c 0
c 0 c c c c
c b 0 b a 0
c b c a a c
a a 0 a 0 0
a a c b 0 c
a c 0 c b 0
a c c 0 b c
c a 0 a b 0
c a c b b c
c c 0 c 0 0
c c c 0 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 7x3 + 8x4 + 9x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)4 (X_b)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_a)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c

Is it a nice code?: No

Generator Matrix-183

a 0 0 0 a 0
0 a 0 a a 0
b 0 0 0 b 0
0 b 0 b b 0
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b 0 b b 0
0 b c a a 0
b 0 0 0 b 0
b 0 c c a 0
b b 0 b 0 0
b b c a c 0
0 a 0 a a 0
0 a c b b 0
0 c 0 c c 0
0 c c 0 0 0
b a 0 a c 0
b a c b 0 0
b c 0 c a 0
b c c 0 b 0
a 0 0 0 a 0
a 0 c c b 0
a b 0 b c 0
a b c a 0 0
c 0 0 0 c 0
c 0 c c 0 0
c b 0 b a 0
c b c a b 0
a a 0 a 0 0
a a c b c 0
a c 0 c b 0
a c c 0 a 0
c a 0 a b 0
c a c b a 0
c c 0 c 0 0
c c c 0 c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 8x3 + 15x4 + 4x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c

Is it a nice code?: No

Generator Matrix-184

a 0 0 0 a 0
0 a 0 a a 0
b 0 0 0 b 0
0 b 0 b b 0
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b 0 b b 0
0 b c a a c
b 0 0 0 b 0
b 0 c c a c
b b 0 b 0 0
b b c a c c
0 a 0 a a 0
0 a c b b c
0 c 0 c c 0
0 c c 0 0 c
b a 0 a c 0
b a c b 0 c
b c 0 c a 0
b c c 0 b c
a 0 0 0 a 0
a 0 c c b c
a b 0 b c 0
a b c a 0 c
c 0 0 0 c 0
c 0 c c 0 c
c b 0 b a 0
c b c a b c
a a 0 a 0 0
a a c b c c
a c 0 c b 0
a c c 0 a c
c a 0 a b 0
c a c b a c
c c 0 c 0 0
c c c 0 c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 7x3 + 8x4 + 9x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)3 (X_b)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)4 (X_b)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_b)3 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)4 (X_a)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)3 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c

Is it a nice code?: No

Generator Matrix-185

a 0 0 0 a 0
0 a 0 a a a
b 0 0 0 b 0
0 b 0 b b b
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b 0 b b b
0 b c b b b
b 0 0 0 b 0
b 0 c 0 b 0
b b 0 b 0 b
b b c b 0 b
0 a 0 a a a
0 a c a a a
0 c 0 c c c
0 c c c c c
b a 0 a c a
b a c a c a
b c 0 c a c
b c c c a c
a 0 0 0 a 0
a 0 c 0 a 0
a b 0 b c b
a b c b c b
c 0 0 0 c 0
c 0 c 0 c 0
c b 0 b a b
c b c b a b
a a 0 a 0 a
a a c a 0 a
a c 0 c b c
a c c c b c
c a 0 a b a
c a c a b a
c c 0 c 0 c
c c c c 0 c

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 3x2 + 3x3 + 6x4 + 12x5 + 6x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_b)4 (X_c)1 + (X_0)4 (X_b)2 + (X_0)3 (X_b)2 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_b)4 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)4 (X_c)1 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_a)1 (X_b)1 (X_c)4 + (X_0)4 (X_a)2 + (X_0)3 (X_a)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)4 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_a)1 (X_b)1 (X_c)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0

Is it a nice code?: No

Generator Matrix-186

a 0 0 0 a 0
0 a 0 a a a
b 0 0 0 b 0
0 b 0 b b b
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b 0 b b b
0 b c b b a
b 0 0 0 b 0
b 0 c 0 b c
b b 0 b 0 b
b b c b 0 a
0 a 0 a a a
0 a c a a b
0 c 0 c c c
0 c c c c 0
b a 0 a c a
b a c a c b
b c 0 c a c
b c c c a 0
a 0 0 0 a 0
a 0 c 0 a c
a b 0 b c b
a b c b c a
c 0 0 0 c 0
c 0 c 0 c c
c b 0 b a b
c b c b a a
a a 0 a 0 a
a a c a 0 b
a c 0 c b c
a c c c b 0
c a 0 a b a
c a c a b b
c c 0 c 0 c
c c c c 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 0x3 + 11x4 + 12x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0

Is it a nice code?: No

Generator Matrix-187

a 0 0 0 a 0
0 a 0 a a a
b 0 0 0 b 0
0 b 0 b b b
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b 0 b b b
0 b c b a b
b 0 0 0 b 0
b 0 c 0 a 0
b b 0 b 0 b
b b c b c b
0 a 0 a a a
0 a c a b a
0 c 0 c c c
0 c c c 0 c
b a 0 a c a
b a c a 0 a
b c 0 c a c
b c c c b c
a 0 0 0 a 0
a 0 c 0 b 0
a b 0 b c b
a b c b 0 b
c 0 0 0 c 0
c 0 c 0 0 0
c b 0 b a b
c b c b b b
a a 0 a 0 a
a a c a c a
a c 0 c b c
a c c c a c
c a 0 a b a
c a c a a a
c c 0 c 0 c
c c c c c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 5x2 + 2x3 + 7x4 + 10x5 + 7x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)4 (X_b)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_b)4 + (X_b)4 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_b)2 (X_c)4 + (X_0)4 (X_a)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_b)4 (X_c)2 + (X_0)2 (X_a)4 + (X_a)4 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_a)2 (X_c)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)4 (X_c)2 + (X_0)2 (X_c)4 + (X_c)6

Dual Codewords:

0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0

Is it a nice code?: No

Generator Matrix-188

a 0 0 0 a 0
0 a 0 a a a
b 0 0 0 b 0
0 b 0 b b b
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b 0 b b b
0 b c b a a
b 0 0 0 b 0
b 0 c 0 a c
b b 0 b 0 b
b b c b c a
0 a 0 a a a
0 a c a b b
0 c 0 c c c
0 c c c 0 0
b a 0 a c a
b a c a 0 b
b c 0 c a c
b c c c b 0
a 0 0 0 a 0
a 0 c 0 b c
a b 0 b c b
a b c b 0 a
c 0 0 0 c 0
c 0 c 0 0 c
c b 0 b a b
c b c b b a
a a 0 a 0 a
a a c a c b
a c 0 c b c
a c c c a 0
c a 0 a b a
c a c a a b
c c 0 c 0 c
c c c c c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 3x3 + 8x4 + 13x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_b)4 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_b)2 (X_c)3 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)4 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)2 (X_c)3 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0

Is it a nice code?: No

Generator Matrix-189

a 0 0 0 a 0
0 a 0 a a a
b 0 0 0 b 0
0 b 0 b b b
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b 0 b b b
0 b c a b b
b 0 0 0 b 0
b 0 c c b 0
b b 0 b 0 b
b b c a 0 b
0 a 0 a a a
0 a c b a a
0 c 0 c c c
0 c c 0 c c
b a 0 a c a
b a c b c a
b c 0 c a c
b c c 0 a c
a 0 0 0 a 0
a 0 c c a 0
a b 0 b c b
a b c a c b
c 0 0 0 c 0
c 0 c c c 0
c b 0 b a b
c b c a a b
a a 0 a 0 a
a a c b 0 a
a c 0 c b c
a c c 0 b c
c a 0 a b a
c a c b b a
c c 0 c 0 c
c c c 0 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 0x3 + 11x4 + 12x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0

Is it a nice code?: No

Generator Matrix-190

a 0 0 0 a 0
0 a 0 a a a
b 0 0 0 b 0
0 b 0 b b b
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b 0 b b b
0 b c a b a
b 0 0 0 b 0
b 0 c c b c
b b 0 b 0 b
b b c a 0 a
0 a 0 a a a
0 a c b a b
0 c 0 c c c
0 c c 0 c 0
b a 0 a c a
b a c b c b
b c 0 c a c
b c c 0 a 0
a 0 0 0 a 0
a 0 c c a c
a b 0 b c b
a b c a c a
c 0 0 0 c 0
c 0 c c c c
c b 0 b a b
c b c a a a
a a 0 a 0 a
a a c b 0 b
a c 0 c b c
a c c 0 b 0
c a 0 a b a
c a c b b b
c c 0 c 0 c
c c c 0 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 3x3 + 8x4 + 13x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)4 (X_b)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_a)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0

Is it a nice code?: No

Generator Matrix-191

a 0 0 0 a 0
0 a 0 a a a
b 0 0 0 b 0
0 b 0 b b b
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b 0 b b b
0 b c a a b
b 0 0 0 b 0
b 0 c c a 0
b b 0 b 0 b
b b c a c b
0 a 0 a a a
0 a c b b a
0 c 0 c c c
0 c c 0 0 c
b a 0 a c a
b a c b 0 a
b c 0 c a c
b c c 0 b c
a 0 0 0 a 0
a 0 c c b 0
a b 0 b c b
a b c a 0 b
c 0 0 0 c 0
c 0 c c 0 0
c b 0 b a b
c b c a b b
a a 0 a 0 a
a a c b c a
a c 0 c b c
a c c 0 a c
c a 0 a b a
c a c b a a
c c 0 c 0 c
c c c 0 c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 3x3 + 8x4 + 13x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_b)4 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_b)2 (X_c)3 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)4 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)2 (X_c)3 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0

Is it a nice code?: No

Generator Matrix-192

a 0 0 0 a 0
0 a 0 a a a
b 0 0 0 b 0
0 b 0 b b b
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b 0 b b b
0 b c a a a
b 0 0 0 b 0
b 0 c c a c
b b 0 b 0 b
b b c a c a
0 a 0 a a a
0 a c b b b
0 c 0 c c c
0 c c 0 0 0
b a 0 a c a
b a c b 0 b
b c 0 c a c
b c c 0 b 0
a 0 0 0 a 0
a 0 c c b c
a b 0 b c b
a b c a 0 a
c 0 0 0 c 0
c 0 c c 0 c
c b 0 b a b
c b c a b a
a a 0 a 0 a
a a c b c b
a c 0 c b c
a c c 0 a 0
c a 0 a b a
c a c b a b
c c 0 c 0 c
c c c 0 c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 0x3 + 11x4 + 12x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)2 (X_b)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)4 (X_b)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_b)4 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_b)2 (X_c)2 + (X_0)4 (X_a)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0

Is it a nice code?: No

Generator Matrix-193

a 0 0 0 a a
0 a 0 0 0 0
b 0 0 0 b b
0 b 0 0 0 0
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b 0 0 0 0
0 b c 0 0 0
b 0 0 0 b b
b 0 c 0 b b
b b 0 0 b b
b b c 0 b b
0 a 0 0 0 0
0 a c 0 0 0
0 c 0 0 0 0
0 c c 0 0 0
b a 0 0 b b
b a c 0 b b
b c 0 0 b b
b c c 0 b b
a 0 0 0 a a
a 0 c 0 a a
a b 0 0 a a
a b c 0 a a
c 0 0 0 c c
c 0 c 0 c c
c b 0 0 c c
c b c 0 c c
a a 0 0 a a
a a c 0 a a
a c 0 0 a a
a c c 0 a a
c a 0 0 c c
c a c 0 c c
c c 0 0 c c
c c c 0 c c

dmin: 1
Weight Enumerator: 1x0 + 4x1 + 3x2 + 3x3 + 12x4 + 9x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)5 (X_b)1 + (X_0)4 (X_b)1 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_b)3 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_b)4 (X_c)1 + (X_0)5 (X_a)1 + (X_0)4 (X_a)1 (X_c)1 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_b)3 (X_c)1 + (X_0)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)3 (X_c)1 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_b)1 (X_c)3 + (X_0)1 (X_b)1 (X_c)4 + (X_0)2 (X_a)4 + (X_0)1 (X_a)4 (X_c)1 + (X_0)2 (X_a)3 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_0)2 (X_a)1 (X_c)3 + (X_0)1 (X_a)1 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0
0 0 a 0 0 0
0 0 a a 0 0
0 0 a b 0 0
0 0 a c 0 0
0 0 b 0 0 0
0 0 b a 0 0
0 0 b b 0 0
0 0 b c 0 0
0 0 c 0 0 0
0 0 c a 0 0
0 0 c b 0 0
0 0 c c 0 0

Is it a nice code?: No

Generator Matrix-194

a 0 0 0 a a
0 a 0 0 0 0
b 0 0 0 b b
0 b 0 0 0 0
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b 0 0 0 0
0 b c 0 0 c
b 0 0 0 b b
b 0 c 0 b a
b b 0 0 b b
b b c 0 b a
0 a 0 0 0 0
0 a c 0 0 c
0 c 0 0 0 0
0 c c 0 0 c
b a 0 0 b b
b a c 0 b a
b c 0 0 b b
b c c 0 b a
a 0 0 0 a a
a 0 c 0 a b
a b 0 0 a a
a b c 0 a b
c 0 0 0 c c
c 0 c 0 c 0
c b 0 0 c c
c b c 0 c 0
a a 0 0 a a
a a c 0 a b
a c 0 0 a a
a c c 0 a b
c a 0 0 c c
c a c 0 c 0
c c 0 0 c c
c c c 0 c 0

dmin: 1
Weight Enumerator: 1x0 + 3x1 + 1x2 + 7x3 + 14x4 + 6x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)5 (X_b)1 + (X_0)3 (X_b)1 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)5 (X_a)1 + (X_0)3 (X_a)1 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_b)1 (X_c)3 + (X_0)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_c)3 + (X_0)2 (X_a)1 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0
0 0 a 0 0 0
0 0 a a 0 0
0 0 a b 0 0
0 0 a c 0 0
0 0 b 0 0 0
0 0 b a 0 0
0 0 b b 0 0
0 0 b c 0 0
0 0 c 0 0 0
0 0 c a 0 0
0 0 c b 0 0
0 0 c c 0 0

Is it a nice code?: No

Generator Matrix-195

a 0 0 0 a a
0 a 0 0 0 0
b 0 0 0 b b
0 b 0 0 0 0
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b 0 0 0 0
0 b c 0 c 0
b 0 0 0 b b
b 0 c 0 a b
b b 0 0 b b
b b c 0 a b
0 a 0 0 0 0
0 a c 0 c 0
0 c 0 0 0 0
0 c c 0 c 0
b a 0 0 b b
b a c 0 a b
b c 0 0 b b
b c c 0 a b
a 0 0 0 a a
a 0 c 0 b a
a b 0 0 a a
a b c 0 b a
c 0 0 0 c c
c 0 c 0 0 c
c b 0 0 c c
c b c 0 0 c
a a 0 0 a a
a a c 0 b a
a c 0 0 a a
a c c 0 b a
c a 0 0 c c
c a c 0 0 c
c c 0 0 c c
c c c 0 0 c

dmin: 1
Weight Enumerator: 1x0 + 3x1 + 1x2 + 7x3 + 14x4 + 6x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)5 (X_b)1 + (X_0)3 (X_b)1 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)5 (X_a)1 + (X_0)3 (X_a)1 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_b)1 (X_c)3 + (X_0)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_c)3 + (X_0)2 (X_a)1 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0
0 0 a 0 0 0
0 0 a a 0 0
0 0 a b 0 0
0 0 a c 0 0
0 0 b 0 0 0
0 0 b a 0 0
0 0 b b 0 0
0 0 b c 0 0
0 0 c 0 0 0
0 0 c a 0 0
0 0 c b 0 0
0 0 c c 0 0

Is it a nice code?: No

Generator Matrix-196

a 0 0 0 a a
0 a 0 0 0 0
b 0 0 0 b b
0 b 0 0 0 0
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b 0 0 0 0
0 b c 0 c c
b 0 0 0 b b
b 0 c 0 a a
b b 0 0 b b
b b c 0 a a
0 a 0 0 0 0
0 a c 0 c c
0 c 0 0 0 0
0 c c 0 c c
b a 0 0 b b
b a c 0 a a
b c 0 0 b b
b c c 0 a a
a 0 0 0 a a
a 0 c 0 b b
a b 0 0 a a
a b c 0 b b
c 0 0 0 c c
c 0 c 0 0 0
c b 0 0 c c
c b c 0 0 0
a a 0 0 a a
a a c 0 b b
a c 0 0 a a
a c c 0 b b
c a 0 0 c c
c a c 0 0 0
c c 0 0 c c
c c c 0 0 0

dmin: 1
Weight Enumerator: 1x0 + 3x1 + 1x2 + 7x3 + 14x4 + 6x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)5 (X_b)1 + (X_0)2 (X_b)1 (X_c)3 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)5 (X_a)1 + (X_0)2 (X_a)1 (X_c)3 + (X_0)5 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_b)1 (X_c)3 + (X_0)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_c)3 + (X_0)3 (X_a)1 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0
0 0 a 0 0 0
0 0 a a 0 0
0 0 a b 0 0
0 0 a c 0 0
0 0 b 0 0 0
0 0 b a 0 0
0 0 b b 0 0
0 0 b c 0 0
0 0 c 0 0 0
0 0 c a 0 0
0 0 c b 0 0
0 0 c c 0 0

Is it a nice code?: No

Generator Matrix-197

a 0 0 0 a a
0 a 0 0 0 0
b 0 0 0 b b
0 b 0 0 0 0
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b 0 0 0 0
0 b c c 0 0
b 0 0 0 b b
b 0 c c b b
b b 0 0 b b
b b c c b b
0 a 0 0 0 0
0 a c c 0 0
0 c 0 0 0 0
0 c c c 0 0
b a 0 0 b b
b a c c b b
b c 0 0 b b
b c c c b b
a 0 0 0 a a
a 0 c c a a
a b 0 0 a a
a b c c a a
c 0 0 0 c c
c 0 c c c c
c b 0 0 c c
c b c c c c
a a 0 0 a a
a a c c a a
a c 0 0 a a
a c c c a a
c a 0 0 c c
c a c c c c
c c 0 0 c c
c c c c c c

dmin: 1
Weight Enumerator: 1x0 + 3x1 + 1x2 + 6x3 + 9x4 + 3x5 + 9x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)5 (X_b)1 + (X_0)3 (X_b)1 (X_c)2 + (X_0)3 (X_b)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)2 (X_b)4 + (X_b)4 (X_c)2 + (X_0)5 (X_a)1 + (X_0)3 (X_a)1 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)2 (X_a)1 (X_b)3 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_b)3 (X_c)1 + (X_b)3 (X_c)3 + (X_0)3 (X_a)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)2 (X_a)3 (X_b)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)2 (X_b)1 (X_c)3 + (X_b)1 (X_c)5 + (X_0)2 (X_a)4 + (X_a)4 (X_c)2 + (X_0)2 (X_a)3 (X_c)1 + (X_a)3 (X_c)3 + (X_0)2 (X_a)1 (X_c)3 + (X_a)1 (X_c)5 + (X_0)2 (X_c)4 + (X_c)6

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0
0 0 a 0 0 0
0 0 a a 0 0
0 0 a b 0 0
0 0 a c 0 0
0 0 b 0 0 0
0 0 b a 0 0
0 0 b b 0 0
0 0 b c 0 0
0 0 c 0 0 0
0 0 c a 0 0
0 0 c b 0 0
0 0 c c 0 0

Is it a nice code?: No

Generator Matrix-198

a 0 0 0 a a
0 a 0 0 0 0
b 0 0 0 b b
0 b 0 0 0 0
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b 0 0 0 0
0 b c c 0 c
b 0 0 0 b b
b 0 c c b a
b b 0 0 b b
b b c c b a
0 a 0 0 0 0
0 a c c 0 c
0 c 0 0 0 0
0 c c c 0 c
b a 0 0 b b
b a c c b a
b c 0 0 b b
b c c c b a
a 0 0 0 a a
a 0 c c a b
a b 0 0 a a
a b c c a b
c 0 0 0 c c
c 0 c c c 0
c b 0 0 c c
c b c c c 0
a a 0 0 a a
a a c c a b
a c 0 0 a a
a c c c a b
c a 0 0 c c
c a c c c 0
c c 0 0 c c
c c c c c 0

dmin: 1
Weight Enumerator: 1x0 + 3x1 + 0x2 + 4x3 + 13x4 + 5x5 + 6x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)5 (X_b)1 + (X_0)2 (X_b)1 (X_c)3 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_b)4 + (X_a)1 (X_b)3 (X_c)2 + (X_0)5 (X_a)1 + (X_0)2 (X_a)1 (X_c)3 + (X_0)5 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_a)1 (X_b)3 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_b)3 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)3 (X_b)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_b)1 (X_c)3 + (X_0)1 (X_b)1 (X_c)4 + (X_0)2 (X_a)4 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)3 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_c)3 + (X_0)1 (X_a)1 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0
0 0 a 0 0 0
0 0 a a 0 0
0 0 a b 0 0
0 0 a c 0 0
0 0 b 0 0 0
0 0 b a 0 0
0 0 b b 0 0
0 0 b c 0 0
0 0 c 0 0 0
0 0 c a 0 0
0 0 c b 0 0
0 0 c c 0 0

Is it a nice code?: No

Generator Matrix-199

a 0 0 0 a a
0 a 0 0 0 0
b 0 0 0 b b
0 b 0 0 0 0
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b 0 0 0 0
0 b c c c 0
b 0 0 0 b b
b 0 c c a b
b b 0 0 b b
b b c c a b
0 a 0 0 0 0
0 a c c c 0
0 c 0 0 0 0
0 c c c c 0
b a 0 0 b b
b a c c a b
b c 0 0 b b
b c c c a b
a 0 0 0 a a
a 0 c c b a
a b 0 0 a a
a b c c b a
c 0 0 0 c c
c 0 c c 0 c
c b 0 0 c c
c b c c 0 c
a a 0 0 a a
a a c c b a
a c 0 0 a a
a c c c b a
c a 0 0 c c
c a c c 0 c
c c 0 0 c c
c c c c 0 c

dmin: 1
Weight Enumerator: 1x0 + 3x1 + 0x2 + 4x3 + 13x4 + 5x5 + 6x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)5 (X_b)1 + (X_0)2 (X_b)1 (X_c)3 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_b)4 + (X_a)1 (X_b)3 (X_c)2 + (X_0)5 (X_a)1 + (X_0)2 (X_a)1 (X_c)3 + (X_0)5 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_a)1 (X_b)3 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_b)3 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)3 (X_b)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_b)1 (X_c)3 + (X_0)1 (X_b)1 (X_c)4 + (X_0)2 (X_a)4 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)3 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_c)3 + (X_0)1 (X_a)1 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0
0 0 a 0 0 0
0 0 a a 0 0
0 0 a b 0 0
0 0 a c 0 0
0 0 b 0 0 0
0 0 b a 0 0
0 0 b b 0 0
0 0 b c 0 0
0 0 c 0 0 0
0 0 c a 0 0
0 0 c b 0 0
0 0 c c 0 0

Is it a nice code?: No

Generator Matrix-200

a 0 0 0 a a
0 a 0 0 0 0
b 0 0 0 b b
0 b 0 0 0 0
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b 0 0 0 0
0 b c c c c
b 0 0 0 b b
b 0 c c a a
b b 0 0 b b
b b c c a a
0 a 0 0 0 0
0 a c c c c
0 c 0 0 0 0
0 c c c c c
b a 0 0 b b
b a c c a a
b c 0 0 b b
b c c c a a
a 0 0 0 a a
a 0 c c b b
a b 0 0 a a
a b c c b b
c 0 0 0 c c
c 0 c c 0 0
c b 0 0 c c
c b c c 0 0
a a 0 0 a a
a a c c b b
a c 0 0 a a
a c c c b b
c a 0 0 c c
c a c c 0 0
c c 0 0 c c
c c c c 0 0

dmin: 1
Weight Enumerator: 1x0 + 3x1 + 0x2 + 4x3 + 13x4 + 5x5 + 6x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)5 (X_b)1 + (X_0)1 (X_b)1 (X_c)4 + (X_0)3 (X_b)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_b)4 + (X_a)2 (X_b)2 (X_c)2 + (X_0)5 (X_a)1 + (X_0)1 (X_a)1 (X_c)4 + (X_0)5 (X_c)1 + (X_0)1 (X_c)5 + (X_0)2 (X_a)1 (X_b)3 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_b)3 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_a)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)3 (X_b)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_b)1 (X_c)3 + (X_0)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)4 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)3 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)1 (X_c)3 + (X_0)2 (X_a)1 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0
0 0 a 0 0 0
0 0 a a 0 0
0 0 a b 0 0
0 0 a c 0 0
0 0 b 0 0 0
0 0 b a 0 0
0 0 b b 0 0
0 0 b c 0 0
0 0 c 0 0 0
0 0 c a 0 0
0 0 c b 0 0
0 0 c c 0 0

Is it a nice code?: No

Generator Matrix-201

a 0 0 0 a a
0 a 0 0 0 a
b 0 0 0 b b
0 b 0 0 0 b
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b 0 0 0 b
0 b c 0 0 b
b 0 0 0 b b
b 0 c 0 b b
b b 0 0 b 0
b b c 0 b 0
0 a 0 0 0 a
0 a c 0 0 a
0 c 0 0 0 c
0 c c 0 0 c
b a 0 0 b c
b a c 0 b c
b c 0 0 b a
b c c 0 b a
a 0 0 0 a a
a 0 c 0 a a
a b 0 0 a c
a b c 0 a c
c 0 0 0 c c
c 0 c 0 c c
c b 0 0 c a
c b c 0 c a
a a 0 0 a 0
a a c 0 a 0
a c 0 0 a b
a c c 0 a b
c a 0 0 c b
c a c 0 c b
c c 0 0 c 0
c c c 0 c 0

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 3x2 + 9x3 + 12x4 + 6x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)4 (X_b)2 + (X_0)3 (X_b)2 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_b)3 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_b)3 (X_c)1 + (X_0)4 (X_a)2 + (X_0)3 (X_a)2 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)3 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_a)3 + (X_0)2 (X_a)3 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0
0 0 a 0 0 0
0 0 a a 0 0
0 0 a b 0 0
0 0 a c 0 0
0 0 b 0 0 0
0 0 b a 0 0
0 0 b b 0 0
0 0 b c 0 0
0 0 c 0 0 0
0 0 c a 0 0
0 0 c b 0 0
0 0 c c 0 0

Is it a nice code?: No

Generator Matrix-202

a 0 0 0 a a
0 a 0 0 0 a
b 0 0 0 b b
0 b 0 0 0 b
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b 0 0 0 b
0 b c 0 0 a
b 0 0 0 b b
b 0 c 0 b a
b b 0 0 b 0
b b c 0 b c
0 a 0 0 0 a
0 a c 0 0 b
0 c 0 0 0 c
0 c c 0 0 0
b a 0 0 b c
b a c 0 b 0
b c 0 0 b a
b c c 0 b b
a 0 0 0 a a
a 0 c 0 a b
a b 0 0 a c
a b c 0 a 0
c 0 0 0 c c
c 0 c 0 c 0
c b 0 0 c a
c b c 0 c b
a a 0 0 a 0
a a c 0 a c
a c 0 0 a b
a c c 0 a a
c a 0 0 c b
c a c 0 c a
c c 0 0 c 0
c c c 0 c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 5x2 + 9x3 + 10x4 + 7x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_b)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_b)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)4 (X_a)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0
0 0 a 0 0 0
0 0 a a 0 0
0 0 a b 0 0
0 0 a c 0 0
0 0 b 0 0 0
0 0 b a 0 0
0 0 b b 0 0
0 0 b c 0 0
0 0 c 0 0 0
0 0 c a 0 0
0 0 c b 0 0
0 0 c c 0 0

Is it a nice code?: No

Generator Matrix-203

a 0 0 0 a a
0 a 0 0 0 a
b 0 0 0 b b
0 b 0 0 0 b
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b 0 0 0 b
0 b c 0 c b
b 0 0 0 b b
b 0 c 0 a b
b b 0 0 b 0
b b c 0 a 0
0 a 0 0 0 a
0 a c 0 c a
0 c 0 0 0 c
0 c c 0 c c
b a 0 0 b c
b a c 0 a c
b c 0 0 b a
b c c 0 a a
a 0 0 0 a a
a 0 c 0 b a
a b 0 0 a c
a b c 0 b c
c 0 0 0 c c
c 0 c 0 0 c
c b 0 0 c a
c b c 0 0 a
a a 0 0 a 0
a a c 0 b 0
a c 0 0 a b
a c c 0 b b
c a 0 0 c b
c a c 0 0 b
c c 0 0 c 0
c c c 0 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 8x3 + 15x4 + 4x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0
0 0 a 0 0 0
0 0 a a 0 0
0 0 a b 0 0
0 0 a c 0 0
0 0 b 0 0 0
0 0 b a 0 0
0 0 b b 0 0
0 0 b c 0 0
0 0 c 0 0 0
0 0 c a 0 0
0 0 c b 0 0
0 0 c c 0 0

Is it a nice code?: No

Generator Matrix-204

a 0 0 0 a a
0 a 0 0 0 a
b 0 0 0 b b
0 b 0 0 0 b
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b 0 0 0 b
0 b c 0 c a
b 0 0 0 b b
b 0 c 0 a a
b b 0 0 b 0
b b c 0 a c
0 a 0 0 0 a
0 a c 0 c b
0 c 0 0 0 c
0 c c 0 c 0
b a 0 0 b c
b a c 0 a 0
b c 0 0 b a
b c c 0 a b
a 0 0 0 a a
a 0 c 0 b b
a b 0 0 a c
a b c 0 b 0
c 0 0 0 c c
c 0 c 0 0 0
c b 0 0 c a
c b c 0 0 b
a a 0 0 a 0
a a c 0 b c
a c 0 0 a b
a c c 0 b a
c a 0 0 c b
c a c 0 0 a
c c 0 0 c 0
c c c 0 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 8x3 + 15x4 + 4x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0
0 0 a 0 0 0
0 0 a a 0 0
0 0 a b 0 0
0 0 a c 0 0
0 0 b 0 0 0
0 0 b a 0 0
0 0 b b 0 0
0 0 b c 0 0
0 0 c 0 0 0
0 0 c a 0 0
0 0 c b 0 0
0 0 c c 0 0

Is it a nice code?: No

Generator Matrix-205

a 0 0 0 a a
0 a 0 0 0 a
b 0 0 0 b b
0 b 0 0 0 b
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b 0 0 0 b
0 b c c 0 b
b 0 0 0 b b
b 0 c c b b
b b 0 0 b 0
b b c c b 0
0 a 0 0 0 a
0 a c c 0 a
0 c 0 0 0 c
0 c c c 0 c
b a 0 0 b c
b a c c b c
b c 0 0 b a
b c c c b a
a 0 0 0 a a
a 0 c c a a
a b 0 0 a c
a b c c a c
c 0 0 0 c c
c 0 c c c c
c b 0 0 c a
c b c c c a
a a 0 0 a 0
a a c c a 0
a c 0 0 a b
a c c c a b
c a 0 0 c b
c a c c c b
c c 0 0 c 0
c c c c c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 6x3 + 9x4 + 6x5 + 6x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)3 (X_b)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)3 (X_b)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_a)1 (X_b)1 (X_c)4 + (X_0)3 (X_a)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_a)1 (X_b)1 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0
0 0 a 0 0 0
0 0 a a 0 0
0 0 a b 0 0
0 0 a c 0 0
0 0 b 0 0 0
0 0 b a 0 0
0 0 b b 0 0
0 0 b c 0 0
0 0 c 0 0 0
0 0 c a 0 0
0 0 c b 0 0
0 0 c c 0 0

Is it a nice code?: No

Generator Matrix-206

a 0 0 0 a a
0 a 0 0 0 a
b 0 0 0 b b
0 b 0 0 0 b
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b 0 0 0 b
0 b c c 0 a
b 0 0 0 b b
b 0 c c b a
b b 0 0 b 0
b b c c b c
0 a 0 0 0 a
0 a c c 0 b
0 c 0 0 0 c
0 c c c 0 0
b a 0 0 b c
b a c c b 0
b c 0 0 b a
b c c c b b
a 0 0 0 a a
a 0 c c a b
a b 0 0 a c
a b c c a 0
c 0 0 0 c c
c 0 c c c 0
c b 0 0 c a
c b c c c b
a a 0 0 a 0
a a c c a c
a c 0 0 a b
a c c c a a
c a 0 0 c b
c a c c c a
c c 0 0 c 0
c c c c c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 8x3 + 9x4 + 4x5 + 7x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_b)3 + (X_b)3 (X_c)3 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_b)3 (X_c)3 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_b)2 (X_c)4 + (X_0)3 (X_a)3 + (X_a)3 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)3 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_a)2 (X_c)4 + (X_0)3 (X_c)3 + (X_c)6

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0
0 0 a 0 0 0
0 0 a a 0 0
0 0 a b 0 0
0 0 a c 0 0
0 0 b 0 0 0
0 0 b a 0 0
0 0 b b 0 0
0 0 b c 0 0
0 0 c 0 0 0
0 0 c a 0 0
0 0 c b 0 0
0 0 c c 0 0

Is it a nice code?: No

Generator Matrix-207

a 0 0 0 a a
0 a 0 0 0 a
b 0 0 0 b b
0 b 0 0 0 b
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b 0 0 0 b
0 b c c c b
b 0 0 0 b b
b 0 c c a b
b b 0 0 b 0
b b c c a 0
0 a 0 0 0 a
0 a c c c a
0 c 0 0 0 c
0 c c c c c
b a 0 0 b c
b a c c a c
b c 0 0 b a
b c c c a a
a 0 0 0 a a
a 0 c c b a
a b 0 0 a c
a b c c b c
c 0 0 0 c c
c 0 c c 0 c
c b 0 0 c a
c b c c 0 a
a a 0 0 a 0
a a c c b 0
a c 0 0 a b
a c c c b b
c a 0 0 c b
c a c c 0 b
c c 0 0 c 0
c c c c 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 7x3 + 8x4 + 9x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)4 (X_b)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)4 (X_a)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0
0 0 a 0 0 0
0 0 a a 0 0
0 0 a b 0 0
0 0 a c 0 0
0 0 b 0 0 0
0 0 b a 0 0
0 0 b b 0 0
0 0 b c 0 0
0 0 c 0 0 0
0 0 c a 0 0
0 0 c b 0 0
0 0 c c 0 0

Is it a nice code?: No

Generator Matrix-208

a 0 0 0 a a
0 a 0 0 0 a
b 0 0 0 b b
0 b 0 0 0 b
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b 0 0 0 b
0 b c c c a
b 0 0 0 b b
b 0 c c a a
b b 0 0 b 0
b b c c a c
0 a 0 0 0 a
0 a c c c b
0 c 0 0 0 c
0 c c c c 0
b a 0 0 b c
b a c c a 0
b c 0 0 b a
b c c c a b
a 0 0 0 a a
a 0 c c b b
a b 0 0 a c
a b c c b 0
c 0 0 0 c c
c 0 c c 0 0
c b 0 0 c a
c b c c 0 b
a a 0 0 a 0
a a c c b c
a c 0 0 a b
a c c c b a
c a 0 0 c b
c a c c 0 a
c c 0 0 c 0
c c c c 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 7x3 + 8x4 + 9x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)4 (X_b)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_b)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_b)3 + (X_a)1 (X_b)2 (X_c)3 + (X_0)4 (X_a)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)3 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0
0 0 a 0 0 0
0 0 a a 0 0
0 0 a b 0 0
0 0 a c 0 0
0 0 b 0 0 0
0 0 b a 0 0
0 0 b b 0 0
0 0 b c 0 0
0 0 c 0 0 0
0 0 c a 0 0
0 0 c b 0 0
0 0 c c 0 0

Is it a nice code?: No

Generator Matrix-209

a 0 0 0 a a
0 a 0 0 a 0
b 0 0 0 b b
0 b 0 0 b 0
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b 0 0 b 0
0 b c 0 b 0
b 0 0 0 b b
b 0 c 0 b b
b b 0 0 0 b
b b c 0 0 b
0 a 0 0 a 0
0 a c 0 a 0
0 c 0 0 c 0
0 c c 0 c 0
b a 0 0 c b
b a c 0 c b
b c 0 0 a b
b c c 0 a b
a 0 0 0 a a
a 0 c 0 a a
a b 0 0 c a
a b c 0 c a
c 0 0 0 c c
c 0 c 0 c c
c b 0 0 a c
c b c 0 a c
a a 0 0 0 a
a a c 0 0 a
a c 0 0 b a
a c c 0 b a
c a 0 0 b c
c a c 0 b c
c c 0 0 0 c
c c c 0 0 c

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 3x2 + 9x3 + 12x4 + 6x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)4 (X_b)2 + (X_0)3 (X_b)2 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_b)3 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_b)3 (X_c)1 + (X_0)4 (X_a)2 + (X_0)3 (X_a)2 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)3 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_a)3 + (X_0)2 (X_a)3 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0
0 0 a 0 0 0
0 0 a a 0 0
0 0 a b 0 0
0 0 a c 0 0
0 0 b 0 0 0
0 0 b a 0 0
0 0 b b 0 0
0 0 b c 0 0
0 0 c 0 0 0
0 0 c a 0 0
0 0 c b 0 0
0 0 c c 0 0

Is it a nice code?: No

Generator Matrix-210

a 0 0 0 a a
0 a 0 0 a 0
b 0 0 0 b b
0 b 0 0 b 0
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b 0 0 b 0
0 b c 0 b c
b 0 0 0 b b
b 0 c 0 b a
b b 0 0 0 b
b b c 0 0 a
0 a 0 0 a 0
0 a c 0 a c
0 c 0 0 c 0
0 c c 0 c c
b a 0 0 c b
b a c 0 c a
b c 0 0 a b
b c c 0 a a
a 0 0 0 a a
a 0 c 0 a b
a b 0 0 c a
a b c 0 c b
c 0 0 0 c c
c 0 c 0 c 0
c b 0 0 a c
c b c 0 a 0
a a 0 0 0 a
a a c 0 0 b
a c 0 0 b a
a c c 0 b b
c a 0 0 b c
c a c 0 b 0
c c 0 0 0 c
c c c 0 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 8x3 + 15x4 + 4x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0
0 0 a 0 0 0
0 0 a a 0 0
0 0 a b 0 0
0 0 a c 0 0
0 0 b 0 0 0
0 0 b a 0 0
0 0 b b 0 0
0 0 b c 0 0
0 0 c 0 0 0
0 0 c a 0 0
0 0 c b 0 0
0 0 c c 0 0

Is it a nice code?: No

Generator Matrix-211

a 0 0 0 a a
0 a 0 0 a 0
b 0 0 0 b b
0 b 0 0 b 0
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b 0 0 b 0
0 b c 0 a 0
b 0 0 0 b b
b 0 c 0 a b
b b 0 0 0 b
b b c 0 c b
0 a 0 0 a 0
0 a c 0 b 0
0 c 0 0 c 0
0 c c 0 0 0
b a 0 0 c b
b a c 0 0 b
b c 0 0 a b
b c c 0 b b
a 0 0 0 a a
a 0 c 0 b a
a b 0 0 c a
a b c 0 0 a
c 0 0 0 c c
c 0 c 0 0 c
c b 0 0 a c
c b c 0 b c
a a 0 0 0 a
a a c 0 c a
a c 0 0 b a
a c c 0 a a
c a 0 0 b c
c a c 0 a c
c c 0 0 0 c
c c c 0 c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 5x2 + 9x3 + 10x4 + 7x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_b)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_b)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)4 (X_a)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0
0 0 a 0 0 0
0 0 a a 0 0
0 0 a b 0 0
0 0 a c 0 0
0 0 b 0 0 0
0 0 b a 0 0
0 0 b b 0 0
0 0 b c 0 0
0 0 c 0 0 0
0 0 c a 0 0
0 0 c b 0 0
0 0 c c 0 0

Is it a nice code?: No

Generator Matrix-212

a 0 0 0 a a
0 a 0 0 a 0
b 0 0 0 b b
0 b 0 0 b 0
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b 0 0 b 0
0 b c 0 a c
b 0 0 0 b b
b 0 c 0 a a
b b 0 0 0 b
b b c 0 c a
0 a 0 0 a 0
0 a c 0 b c
0 c 0 0 c 0
0 c c 0 0 c
b a 0 0 c b
b a c 0 0 a
b c 0 0 a b
b c c 0 b a
a 0 0 0 a a
a 0 c 0 b b
a b 0 0 c a
a b c 0 0 b
c 0 0 0 c c
c 0 c 0 0 0
c b 0 0 a c
c b c 0 b 0
a a 0 0 0 a
a a c 0 c b
a c 0 0 b a
a c c 0 a b
c a 0 0 b c
c a c 0 a 0
c c 0 0 0 c
c c c 0 c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 8x3 + 15x4 + 4x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0
0 0 a 0 0 0
0 0 a a 0 0
0 0 a b 0 0
0 0 a c 0 0
0 0 b 0 0 0
0 0 b a 0 0
0 0 b b 0 0
0 0 b c 0 0
0 0 c 0 0 0
0 0 c a 0 0
0 0 c b 0 0
0 0 c c 0 0

Is it a nice code?: No

Generator Matrix-213

a 0 0 0 a a
0 a 0 0 a 0
b 0 0 0 b b
0 b 0 0 b 0
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b 0 0 b 0
0 b c c b 0
b 0 0 0 b b
b 0 c c b b
b b 0 0 0 b
b b c c 0 b
0 a 0 0 a 0
0 a c c a 0
0 c 0 0 c 0
0 c c c c 0
b a 0 0 c b
b a c c c b
b c 0 0 a b
b c c c a b
a 0 0 0 a a
a 0 c c a a
a b 0 0 c a
a b c c c a
c 0 0 0 c c
c 0 c c c c
c b 0 0 a c
c b c c a c
a a 0 0 0 a
a a c c 0 a
a c 0 0 b a
a c c c b a
c a 0 0 b c
c a c c b c
c c 0 0 0 c
c c c c 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 6x3 + 9x4 + 6x5 + 6x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)3 (X_b)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)3 (X_b)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_a)1 (X_b)1 (X_c)4 + (X_0)3 (X_a)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_a)1 (X_b)1 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0
0 0 a 0 0 0
0 0 a a 0 0
0 0 a b 0 0
0 0 a c 0 0
0 0 b 0 0 0
0 0 b a 0 0
0 0 b b 0 0
0 0 b c 0 0
0 0 c 0 0 0
0 0 c a 0 0
0 0 c b 0 0
0 0 c c 0 0

Is it a nice code?: No

Generator Matrix-214

a 0 0 0 a a
0 a 0 0 a 0
b 0 0 0 b b
0 b 0 0 b 0
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b 0 0 b 0
0 b c c b c
b 0 0 0 b b
b 0 c c b a
b b 0 0 0 b
b b c c 0 a
0 a 0 0 a 0
0 a c c a c
0 c 0 0 c 0
0 c c c c c
b a 0 0 c b
b a c c c a
b c 0 0 a b
b c c c a a
a 0 0 0 a a
a 0 c c a b
a b 0 0 c a
a b c c c b
c 0 0 0 c c
c 0 c c c 0
c b 0 0 a c
c b c c a 0
a a 0 0 0 a
a a c c 0 b
a c 0 0 b a
a c c c b b
c a 0 0 b c
c a c c b 0
c c 0 0 0 c
c c c c 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 7x3 + 8x4 + 9x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)4 (X_b)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)4 (X_a)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0
0 0 a 0 0 0
0 0 a a 0 0
0 0 a b 0 0
0 0 a c 0 0
0 0 b 0 0 0
0 0 b a 0 0
0 0 b b 0 0
0 0 b c 0 0
0 0 c 0 0 0
0 0 c a 0 0
0 0 c b 0 0
0 0 c c 0 0

Is it a nice code?: No

Generator Matrix-215

a 0 0 0 a a
0 a 0 0 a 0
b 0 0 0 b b
0 b 0 0 b 0
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b 0 0 b 0
0 b c c a 0
b 0 0 0 b b
b 0 c c a b
b b 0 0 0 b
b b c c c b
0 a 0 0 a 0
0 a c c b 0
0 c 0 0 c 0
0 c c c 0 0
b a 0 0 c b
b a c c 0 b
b c 0 0 a b
b c c c b b
a 0 0 0 a a
a 0 c c b a
a b 0 0 c a
a b c c 0 a
c 0 0 0 c c
c 0 c c 0 c
c b 0 0 a c
c b c c b c
a a 0 0 0 a
a a c c c a
a c 0 0 b a
a c c c a a
c a 0 0 b c
c a c c a c
c c 0 0 0 c
c c c c c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 8x3 + 9x4 + 4x5 + 7x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_b)3 + (X_b)3 (X_c)3 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_b)3 (X_c)3 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_b)2 (X_c)4 + (X_0)3 (X_a)3 + (X_a)3 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)3 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_a)2 (X_c)4 + (X_0)3 (X_c)3 + (X_c)6

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0
0 0 a 0 0 0
0 0 a a 0 0
0 0 a b 0 0
0 0 a c 0 0
0 0 b 0 0 0
0 0 b a 0 0
0 0 b b 0 0
0 0 b c 0 0
0 0 c 0 0 0
0 0 c a 0 0
0 0 c b 0 0
0 0 c c 0 0

Is it a nice code?: No

Generator Matrix-216

a 0 0 0 a a
0 a 0 0 a 0
b 0 0 0 b b
0 b 0 0 b 0
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b 0 0 b 0
0 b c c a c
b 0 0 0 b b
b 0 c c a a
b b 0 0 0 b
b b c c c a
0 a 0 0 a 0
0 a c c b c
0 c 0 0 c 0
0 c c c 0 c
b a 0 0 c b
b a c c 0 a
b c 0 0 a b
b c c c b a
a 0 0 0 a a
a 0 c c b b
a b 0 0 c a
a b c c 0 b
c 0 0 0 c c
c 0 c c 0 0
c b 0 0 a c
c b c c b 0
a a 0 0 0 a
a a c c c b
a c 0 0 b a
a c c c a b
c a 0 0 b c
c a c c a 0
c c 0 0 0 c
c c c c c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 7x3 + 8x4 + 9x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)4 (X_b)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_b)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_b)3 + (X_a)1 (X_b)2 (X_c)3 + (X_0)4 (X_a)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)3 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0
0 0 a 0 0 0
0 0 a a 0 0
0 0 a b 0 0
0 0 a c 0 0
0 0 b 0 0 0
0 0 b a 0 0
0 0 b b 0 0
0 0 b c 0 0
0 0 c 0 0 0
0 0 c a 0 0
0 0 c b 0 0
0 0 c c 0 0

Is it a nice code?: No

Generator Matrix-217

a 0 0 0 a a
0 a 0 0 a a
b 0 0 0 b b
0 b 0 0 b b
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b 0 0 b b
0 b c 0 b b
b 0 0 0 b b
b 0 c 0 b b
b b 0 0 0 0
b b c 0 0 0
0 a 0 0 a a
0 a c 0 a a
0 c 0 0 c c
0 c c 0 c c
b a 0 0 c c
b a c 0 c c
b c 0 0 a a
b c c 0 a a
a 0 0 0 a a
a 0 c 0 a a
a b 0 0 c c
a b c 0 c c
c 0 0 0 c c
c 0 c 0 c c
c b 0 0 a a
c b c 0 a a
a a 0 0 0 0
a a c 0 0 0
a c 0 0 b b
a c c 0 b b
c a 0 0 b b
c a c 0 b b
c c 0 0 0 0
c c c 0 0 0

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 3x2 + 9x3 + 12x4 + 6x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_b)3 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_b)3 (X_c)1 + (X_0)4 (X_b)2 + (X_0)3 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)3 (X_c)1 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)3 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)4 (X_a)2 + (X_0)3 (X_a)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0
0 0 a 0 0 0
0 0 a a 0 0
0 0 a b 0 0
0 0 a c 0 0
0 0 b 0 0 0
0 0 b a 0 0
0 0 b b 0 0
0 0 b c 0 0
0 0 c 0 0 0
0 0 c a 0 0
0 0 c b 0 0
0 0 c c 0 0

Is it a nice code?: No

Generator Matrix-218

a 0 0 0 a a
0 a 0 0 a a
b 0 0 0 b b
0 b 0 0 b b
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b 0 0 b b
0 b c 0 b a
b 0 0 0 b b
b 0 c 0 b a
b b 0 0 0 0
b b c 0 0 c
0 a 0 0 a a
0 a c 0 a b
0 c 0 0 c c
0 c c 0 c 0
b a 0 0 c c
b a c 0 c 0
b c 0 0 a a
b c c 0 a b
a 0 0 0 a a
a 0 c 0 a b
a b 0 0 c c
a b c 0 c 0
c 0 0 0 c c
c 0 c 0 c 0
c b 0 0 a a
c b c 0 a b
a a 0 0 0 0
a a c 0 0 c
a c 0 0 b b
a c c 0 b a
c a 0 0 b b
c a c 0 b a
c c 0 0 0 0
c c c 0 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 8x3 + 15x4 + 4x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0
0 0 a 0 0 0
0 0 a a 0 0
0 0 a b 0 0
0 0 a c 0 0
0 0 b 0 0 0
0 0 b a 0 0
0 0 b b 0 0
0 0 b c 0 0
0 0 c 0 0 0
0 0 c a 0 0
0 0 c b 0 0
0 0 c c 0 0

Is it a nice code?: No

Generator Matrix-219

a 0 0 0 a a
0 a 0 0 a a
b 0 0 0 b b
0 b 0 0 b b
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b 0 0 b b
0 b c 0 a b
b 0 0 0 b b
b 0 c 0 a b
b b 0 0 0 0
b b c 0 c 0
0 a 0 0 a a
0 a c 0 b a
0 c 0 0 c c
0 c c 0 0 c
b a 0 0 c c
b a c 0 0 c
b c 0 0 a a
b c c 0 b a
a 0 0 0 a a
a 0 c 0 b a
a b 0 0 c c
a b c 0 0 c
c 0 0 0 c c
c 0 c 0 0 c
c b 0 0 a a
c b c 0 b a
a a 0 0 0 0
a a c 0 c 0
a c 0 0 b b
a c c 0 a b
c a 0 0 b b
c a c 0 a b
c c 0 0 0 0
c c c 0 c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 8x3 + 15x4 + 4x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0
0 0 a 0 0 0
0 0 a a 0 0
0 0 a b 0 0
0 0 a c 0 0
0 0 b 0 0 0
0 0 b a 0 0
0 0 b b 0 0
0 0 b c 0 0
0 0 c 0 0 0
0 0 c a 0 0
0 0 c b 0 0
0 0 c c 0 0

Is it a nice code?: No

Generator Matrix-220

a 0 0 0 a a
0 a 0 0 a a
b 0 0 0 b b
0 b 0 0 b b
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b 0 0 b b
0 b c 0 a a
b 0 0 0 b b
b 0 c 0 a a
b b 0 0 0 0
b b c 0 c c
0 a 0 0 a a
0 a c 0 b b
0 c 0 0 c c
0 c c 0 0 0
b a 0 0 c c
b a c 0 0 0
b c 0 0 a a
b c c 0 b b
a 0 0 0 a a
a 0 c 0 b b
a b 0 0 c c
a b c 0 0 0
c 0 0 0 c c
c 0 c 0 0 0
c b 0 0 a a
c b c 0 b b
a a 0 0 0 0
a a c 0 c c
a c 0 0 b b
a c c 0 a a
c a 0 0 b b
c a c 0 a a
c c 0 0 0 0
c c c 0 c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 5x2 + 9x3 + 10x4 + 7x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)4 (X_b)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_b)3 (X_c)2 + (X_0)4 (X_a)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0
0 0 a 0 0 0
0 0 a a 0 0
0 0 a b 0 0
0 0 a c 0 0
0 0 b 0 0 0
0 0 b a 0 0
0 0 b b 0 0
0 0 b c 0 0
0 0 c 0 0 0
0 0 c a 0 0
0 0 c b 0 0
0 0 c c 0 0

Is it a nice code?: No

Generator Matrix-221

a 0 0 0 a a
0 a 0 0 a a
b 0 0 0 b b
0 b 0 0 b b
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b 0 0 b b
0 b c c b b
b 0 0 0 b b
b 0 c c b b
b b 0 0 0 0
b b c c 0 0
0 a 0 0 a a
0 a c c a a
0 c 0 0 c c
0 c c c c c
b a 0 0 c c
b a c c c c
b c 0 0 a a
b c c c a a
a 0 0 0 a a
a 0 c c a a
a b 0 0 c c
a b c c c c
c 0 0 0 c c
c 0 c c c c
c b 0 0 a a
c b c c a a
a a 0 0 0 0
a a c c 0 0
a c 0 0 b b
a c c c b b
c a 0 0 b b
c a c c b b
c c 0 0 0 0
c c c c 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 6x3 + 9x4 + 6x5 + 6x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)3 (X_b)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_a)1 (X_b)1 (X_c)4 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_a)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_a)1 (X_b)1 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0
0 0 a 0 0 0
0 0 a a 0 0
0 0 a b 0 0
0 0 a c 0 0
0 0 b 0 0 0
0 0 b a 0 0
0 0 b b 0 0
0 0 b c 0 0
0 0 c 0 0 0
0 0 c a 0 0
0 0 c b 0 0
0 0 c c 0 0

Is it a nice code?: No

Generator Matrix-222

a 0 0 0 a a
0 a 0 0 a a
b 0 0 0 b b
0 b 0 0 b b
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b 0 0 b b
0 b c c b a
b 0 0 0 b b
b 0 c c b a
b b 0 0 0 0
b b c c 0 c
0 a 0 0 a a
0 a c c a b
0 c 0 0 c c
0 c c c c 0
b a 0 0 c c
b a c c c 0
b c 0 0 a a
b c c c a b
a 0 0 0 a a
a 0 c c a b
a b 0 0 c c
a b c c c 0
c 0 0 0 c c
c 0 c c c 0
c b 0 0 a a
c b c c a b
a a 0 0 0 0
a a c c 0 c
a c 0 0 b b
a c c c b a
c a 0 0 b b
c a c c b a
c c 0 0 0 0
c c c c 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 7x3 + 8x4 + 9x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)4 (X_b)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)4 (X_a)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0
0 0 a 0 0 0
0 0 a a 0 0
0 0 a b 0 0
0 0 a c 0 0
0 0 b 0 0 0
0 0 b a 0 0
0 0 b b 0 0
0 0 b c 0 0
0 0 c 0 0 0
0 0 c a 0 0
0 0 c b 0 0
0 0 c c 0 0

Is it a nice code?: No

Generator Matrix-223

a 0 0 0 a a
0 a 0 0 a a
b 0 0 0 b b
0 b 0 0 b b
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b 0 0 b b
0 b c c a b
b 0 0 0 b b
b 0 c c a b
b b 0 0 0 0
b b c c c 0
0 a 0 0 a a
0 a c c b a
0 c 0 0 c c
0 c c c 0 c
b a 0 0 c c
b a c c 0 c
b c 0 0 a a
b c c c b a
a 0 0 0 a a
a 0 c c b a
a b 0 0 c c
a b c c 0 c
c 0 0 0 c c
c 0 c c 0 c
c b 0 0 a a
c b c c b a
a a 0 0 0 0
a a c c c 0
a c 0 0 b b
a c c c a b
c a 0 0 b b
c a c c a b
c c 0 0 0 0
c c c c c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 7x3 + 8x4 + 9x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)4 (X_b)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)4 (X_a)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0
0 0 a 0 0 0
0 0 a a 0 0
0 0 a b 0 0
0 0 a c 0 0
0 0 b 0 0 0
0 0 b a 0 0
0 0 b b 0 0
0 0 b c 0 0
0 0 c 0 0 0
0 0 c a 0 0
0 0 c b 0 0
0 0 c c 0 0

Is it a nice code?: No

Generator Matrix-224

a 0 0 0 a a
0 a 0 0 a a
b 0 0 0 b b
0 b 0 0 b b
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b 0 0 b b
0 b c c a a
b 0 0 0 b b
b 0 c c a a
b b 0 0 0 0
b b c c c c
0 a 0 0 a a
0 a c c b b
0 c 0 0 c c
0 c c c 0 0
b a 0 0 c c
b a c c 0 0
b c 0 0 a a
b c c c b b
a 0 0 0 a a
a 0 c c b b
a b 0 0 c c
a b c c 0 0
c 0 0 0 c c
c 0 c c 0 0
c b 0 0 a a
c b c c b b
a a 0 0 0 0
a a c c c c
a c 0 0 b b
a c c c a a
c a 0 0 b b
c a c c a a
c c 0 0 0 0
c c c c c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 8x3 + 9x4 + 4x5 + 7x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)3 (X_b)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_b)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)4 (X_b)2 + (X_b)2 (X_c)4 + (X_0)3 (X_a)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_b)3 (X_c)3 + (X_0)3 (X_a)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_b)3 (X_c)3 + (X_0)4 (X_a)2 + (X_a)2 (X_c)4 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)3 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)3 (X_c)3 + (X_0)4 (X_c)2 + (X_c)6

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0
0 0 a 0 0 0
0 0 a a 0 0
0 0 a b 0 0
0 0 a c 0 0
0 0 b 0 0 0
0 0 b a 0 0
0 0 b b 0 0
0 0 b c 0 0
0 0 c 0 0 0
0 0 c a 0 0
0 0 c b 0 0
0 0 c c 0 0

Is it a nice code?: No

Generator Matrix-225

a 0 0 0 a a
0 a 0 a 0 0
b 0 0 0 b b
0 b 0 b 0 0
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b 0 b 0 0
0 b c b 0 0
b 0 0 0 b b
b 0 c 0 b b
b b 0 b b b
b b c b b b
0 a 0 a 0 0
0 a c a 0 0
0 c 0 c 0 0
0 c c c 0 0
b a 0 a b b
b a c a b b
b c 0 c b b
b c c c b b
a 0 0 0 a a
a 0 c 0 a a
a b 0 b a a
a b c b a a
c 0 0 0 c c
c 0 c 0 c c
c b 0 b c c
c b c b c c
a a 0 a a a
a a c a a a
a c 0 c a a
a c c c a a
c a 0 a c c
c a c a c c
c c 0 c c c
c c c c c c

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 3x2 + 6x3 + 3x4 + 9x5 + 9x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)4 (X_b)2 + (X_0)3 (X_b)2 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_b)3 (X_c)1 + (X_0)1 (X_b)5 + (X_b)5 (X_c)1 + (X_0)4 (X_a)2 + (X_0)3 (X_a)2 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)3 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_b)3 (X_c)2 + (X_b)3 (X_c)3 + (X_0)3 (X_a)3 + (X_0)2 (X_a)3 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_a)3 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_b)2 (X_c)3 + (X_b)2 (X_c)4 + (X_0)1 (X_a)5 + (X_a)5 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_a)3 (X_c)3 + (X_0)1 (X_a)2 (X_c)3 + (X_a)2 (X_c)4 + (X_0)1 (X_c)5 + (X_c)6

Dual Codewords:

0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0

Is it a nice code?: No

Generator Matrix-226

a 0 0 0 a a
0 a 0 a 0 0
b 0 0 0 b b
0 b 0 b 0 0
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b 0 b 0 0
0 b c b 0 c
b 0 0 0 b b
b 0 c 0 b a
b b 0 b b b
b b c b b a
0 a 0 a 0 0
0 a c a 0 c
0 c 0 c 0 0
0 c c c 0 c
b a 0 a b b
b a c a b a
b c 0 c b b
b c c c b a
a 0 0 0 a a
a 0 c 0 a b
a b 0 b a a
a b c b a b
c 0 0 0 c c
c 0 c 0 c 0
c b 0 b c c
c b c b c 0
a a 0 a a a
a a c a a b
a c 0 c a a
a c c c a b
c a 0 a c c
c a c a c 0
c c 0 c c c
c c c c c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 4x3 + 5x4 + 12x5 + 6x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_b)5 + (X_a)1 (X_b)4 (X_c)1 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_a)2 (X_b)3 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_b)3 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_a)2 (X_b)3 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_b)2 (X_c)3 + (X_0)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)5 + (X_a)4 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)2 (X_c)3 + (X_0)1 (X_a)2 (X_c)3 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0

Is it a nice code?: No

Generator Matrix-227

a 0 0 0 a a
0 a 0 a 0 0
b 0 0 0 b b
0 b 0 b 0 0
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b 0 b 0 0
0 b c b c 0
b 0 0 0 b b
b 0 c 0 a b
b b 0 b b b
b b c b a b
0 a 0 a 0 0
0 a c a c 0
0 c 0 c 0 0
0 c c c c 0
b a 0 a b b
b a c a a b
b c 0 c b b
b c c c a b
a 0 0 0 a a
a 0 c 0 b a
a b 0 b a a
a b c b b a
c 0 0 0 c c
c 0 c 0 0 c
c b 0 b c c
c b c b 0 c
a a 0 a a a
a a c a b a
a c 0 c a a
a c c c b a
c a 0 a c c
c a c a 0 c
c c 0 c c c
c c c c 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 4x3 + 5x4 + 12x5 + 6x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_b)5 + (X_a)1 (X_b)4 (X_c)1 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_a)2 (X_b)3 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_b)3 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_a)2 (X_b)3 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_b)2 (X_c)3 + (X_0)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)5 + (X_a)4 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)2 (X_c)3 + (X_0)1 (X_a)2 (X_c)3 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0

Is it a nice code?: No

Generator Matrix-228

a 0 0 0 a a
0 a 0 a 0 0
b 0 0 0 b b
0 b 0 b 0 0
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b 0 b 0 0
0 b c b c c
b 0 0 0 b b
b 0 c 0 a a
b b 0 b b b
b b c b a a
0 a 0 a 0 0
0 a c a c c
0 c 0 c 0 0
0 c c c c c
b a 0 a b b
b a c a a a
b c 0 c b b
b c c c a a
a 0 0 0 a a
a 0 c 0 b b
a b 0 b a a
a b c b b b
c 0 0 0 c c
c 0 c 0 0 0
c b 0 b c c
c b c b 0 0
a a 0 a a a
a a c a b b
a c 0 c a a
a c c c b b
c a 0 a c c
c a c a 0 0
c c 0 c c c
c c c c 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 4x3 + 5x4 + 12x5 + 6x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)4 (X_b)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_b)5 + (X_a)2 (X_b)3 (X_c)1 + (X_0)4 (X_a)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5 + (X_0)1 (X_a)2 (X_b)3 + (X_a)4 (X_b)1 (X_c)1 + (X_0)1 (X_b)3 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_a)1 (X_b)4 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)5 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)2 (X_c)3 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0

Is it a nice code?: No

Generator Matrix-229

a 0 0 0 a a
0 a 0 a 0 0
b 0 0 0 b b
0 b 0 b 0 0
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b 0 b 0 0
0 b c a 0 0
b 0 0 0 b b
b 0 c c b b
b b 0 b b b
b b c a b b
0 a 0 a 0 0
0 a c b 0 0
0 c 0 c 0 0
0 c c 0 0 0
b a 0 a b b
b a c b b b
b c 0 c b b
b c c 0 b b
a 0 0 0 a a
a 0 c c a a
a b 0 b a a
a b c a a a
c 0 0 0 c c
c 0 c c c c
c b 0 b c c
c b c a c c
a a 0 a a a
a a c b a a
a c 0 c a a
a c c 0 a a
c a 0 a c c
c a c b c c
c c 0 c c c
c c c 0 c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 5x2 + 5x3 + 0x4 + 15x5 + 6x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_b)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)3 (X_b)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)1 (X_b)5 + (X_a)1 (X_b)4 (X_c)1 + (X_0)4 (X_a)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)1 (X_a)2 (X_b)3 + (X_a)1 (X_b)4 (X_c)1 + (X_0)1 (X_b)3 (X_c)2 + (X_0)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)3 (X_b)2 + (X_a)4 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)1 (X_b)2 (X_c)3 + (X_a)1 (X_b)1 (X_c)4 + (X_0)1 (X_a)5 + (X_a)4 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)2 (X_c)3 + (X_a)1 (X_b)1 (X_c)4 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0

Is it a nice code?: No

Generator Matrix-230

a 0 0 0 a a
0 a 0 a 0 0
b 0 0 0 b b
0 b 0 b 0 0
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b 0 b 0 0
0 b c a 0 c
b 0 0 0 b b
b 0 c c b a
b b 0 b b b
b b c a b a
0 a 0 a 0 0
0 a c b 0 c
0 c 0 c 0 0
0 c c 0 0 c
b a 0 a b b
b a c b b a
b c 0 c b b
b c c 0 b a
a 0 0 0 a a
a 0 c c a b
a b 0 b a a
a b c a a b
c 0 0 0 c c
c 0 c c c 0
c b 0 b c c
c b c a c 0
a a 0 a a a
a a c b a b
a c 0 c a a
a c c 0 a b
c a 0 a c c
c a c b c 0
c c 0 c c c
c c c 0 c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 5x3 + 4x4 + 15x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_b)5 + (X_a)2 (X_b)3 (X_c)1 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)3 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_b)2 + (X_a)3 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)5 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0

Is it a nice code?: No

Generator Matrix-231

a 0 0 0 a a
0 a 0 a 0 0
b 0 0 0 b b
0 b 0 b 0 0
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b 0 b 0 0
0 b c a c 0
b 0 0 0 b b
b 0 c c a b
b b 0 b b b
b b c a a b
0 a 0 a 0 0
0 a c b c 0
0 c 0 c 0 0
0 c c 0 c 0
b a 0 a b b
b a c b a b
b c 0 c b b
b c c 0 a b
a 0 0 0 a a
a 0 c c b a
a b 0 b a a
a b c a b a
c 0 0 0 c c
c 0 c c 0 c
c b 0 b c c
c b c a 0 c
a a 0 a a a
a a c b b a
a c 0 c a a
a c c 0 b a
c a 0 a c c
c a c b 0 c
c c 0 c c c
c c c 0 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 5x3 + 4x4 + 15x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_b)5 + (X_a)2 (X_b)3 (X_c)1 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)3 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_b)2 + (X_a)3 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)5 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0

Is it a nice code?: No

Generator Matrix-232

a 0 0 0 a a
0 a 0 a 0 0
b 0 0 0 b b
0 b 0 b 0 0
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b 0 b 0 0
0 b c a c c
b 0 0 0 b b
b 0 c c a a
b b 0 b b b
b b c a a a
0 a 0 a 0 0
0 a c b c c
0 c 0 c 0 0
0 c c 0 c c
b a 0 a b b
b a c b a a
b c 0 c b b
b c c 0 a a
a 0 0 0 a a
a 0 c c b b
a b 0 b a a
a b c a b b
c 0 0 0 c c
c 0 c c 0 0
c b 0 b c c
c b c a 0 0
a a 0 a a a
a a c b b b
a c 0 c a a
a c c 0 b b
c a 0 a c c
c a c b 0 0
c c 0 c c c
c c c 0 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 5x3 + 4x4 + 15x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)4 (X_b)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_b)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_b)5 + (X_a)3 (X_b)2 (X_c)1 + (X_0)4 (X_a)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_a)2 (X_b)3 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)3 (X_b)2 + (X_a)2 (X_b)3 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)5 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0

Is it a nice code?: No

Generator Matrix-233

a 0 0 0 a a
0 a 0 a 0 a
b 0 0 0 b b
0 b 0 b 0 b
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b 0 b 0 b
0 b c b 0 b
b 0 0 0 b b
b 0 c 0 b b
b b 0 b b 0
b b c b b 0
0 a 0 a 0 a
0 a c a 0 a
0 c 0 c 0 c
0 c c c 0 c
b a 0 a b c
b a c a b c
b c 0 c b a
b c c c b a
a 0 0 0 a a
a 0 c 0 a a
a b 0 b a c
a b c b a c
c 0 0 0 c c
c 0 c 0 c c
c b 0 b c a
c b c b c a
a a 0 a a 0
a a c a a 0
a c 0 c a b
a c c c a b
c a 0 a c b
c a c a c b
c c 0 c c 0
c c c c c 0

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 0x2 + 6x3 + 9x4 + 9x5 + 6x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_b)3 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_b)3 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_b)4 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)3 (X_c)1 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)3 + (X_0)2 (X_a)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)4 + (X_0)1 (X_a)4 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0

Is it a nice code?: No

Generator Matrix-234

a 0 0 0 a a
0 a 0 a 0 a
b 0 0 0 b b
0 b 0 b 0 b
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b 0 b 0 b
0 b c b 0 a
b 0 0 0 b b
b 0 c 0 b a
b b 0 b b 0
b b c b b c
0 a 0 a 0 a
0 a c a 0 b
0 c 0 c 0 c
0 c c c 0 0
b a 0 a b c
b a c a b 0
b c 0 c b a
b c c c b b
a 0 0 0 a a
a 0 c 0 a b
a b 0 b a c
a b c b a 0
c 0 0 0 c c
c 0 c 0 c 0
c b 0 b c a
c b c b c b
a a 0 a a 0
a a c a a c
a c 0 c a b
a c c c a a
c a 0 a c b
c a c a c a
c c 0 c c 0
c c c c c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 8x3 + 7x4 + 8x5 + 7x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_b)4 + (X_b)4 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_b)3 (X_c)3 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_b)3 (X_c)3 + (X_0)2 (X_a)4 + (X_a)4 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)3 (X_c)3 + (X_0)2 (X_c)4 + (X_c)6

Dual Codewords:

0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0

Is it a nice code?: No

Generator Matrix-235

a 0 0 0 a a
0 a 0 a 0 a
b 0 0 0 b b
0 b 0 b 0 b
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b 0 b 0 b
0 b c b c b
b 0 0 0 b b
b 0 c 0 a b
b b 0 b b 0
b b c b a 0
0 a 0 a 0 a
0 a c a c a
0 c 0 c 0 c
0 c c c c c
b a 0 a b c
b a c a a c
b c 0 c b a
b c c c a a
a 0 0 0 a a
a 0 c 0 b a
a b 0 b a c
a b c b b c
c 0 0 0 c c
c 0 c 0 0 c
c b 0 b c a
c b c b 0 a
a a 0 a a 0
a a c a b 0
a c 0 c a b
a c c c b b
c a 0 a c b
c a c a 0 b
c c 0 c c 0
c c c c 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 7x3 + 6x4 + 13x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)3 (X_a)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0

Is it a nice code?: No

Generator Matrix-236

a 0 0 0 a a
0 a 0 a 0 a
b 0 0 0 b b
0 b 0 b 0 b
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b 0 b 0 b
0 b c b c a
b 0 0 0 b b
b 0 c 0 a a
b b 0 b b 0
b b c b a c
0 a 0 a 0 a
0 a c a c b
0 c 0 c 0 c
0 c c c c 0
b a 0 a b c
b a c a a 0
b c 0 c b a
b c c c a b
a 0 0 0 a a
a 0 c 0 b b
a b 0 b a c
a b c b b 0
c 0 0 0 c c
c 0 c 0 0 0
c b 0 b c a
c b c b 0 b
a a 0 a a 0
a a c a b c
a c 0 c a b
a c c c b a
c a 0 a c b
c a c a 0 a
c c 0 c c 0
c c c c 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 7x3 + 6x4 + 13x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_b)4 + (X_a)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)4 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0

Is it a nice code?: No

Generator Matrix-237

a 0 0 0 a a
0 a 0 a 0 a
b 0 0 0 b b
0 b 0 b 0 b
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b 0 b 0 b
0 b c a 0 b
b 0 0 0 b b
b 0 c c b b
b b 0 b b 0
b b c a b 0
0 a 0 a 0 a
0 a c b 0 a
0 c 0 c 0 c
0 c c 0 0 c
b a 0 a b c
b a c b b c
b c 0 c b a
b c c 0 b a
a 0 0 0 a a
a 0 c c a a
a b 0 b a c
a b c a a c
c 0 0 0 c c
c 0 c c c c
c b 0 b c a
c b c a c a
a a 0 a a 0
a a c b a 0
a c 0 c a b
a c c 0 a b
c a 0 a c b
c a c b c b
c c 0 c c 0
c c c 0 c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 7x3 + 6x4 + 13x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_b)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0

Is it a nice code?: No

Generator Matrix-238

a 0 0 0 a a
0 a 0 a 0 a
b 0 0 0 b b
0 b 0 b 0 b
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b 0 b 0 b
0 b c a 0 a
b 0 0 0 b b
b 0 c c b a
b b 0 b b 0
b b c a b c
0 a 0 a 0 a
0 a c b 0 b
0 c 0 c 0 c
0 c c 0 0 0
b a 0 a b c
b a c b b 0
b c 0 c b a
b c c 0 b b
a 0 0 0 a a
a 0 c c a b
a b 0 b a c
a b c a a 0
c 0 0 0 c c
c 0 c c c 0
c b 0 b c a
c b c a c b
a a 0 a a 0
a a c b a c
a c 0 c a b
a c c 0 a a
c a 0 a c b
c a c b c a
c c 0 c c 0
c c c 0 c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 7x3 + 6x4 + 13x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_b)4 + (X_a)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)4 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0

Is it a nice code?: No

Generator Matrix-239

a 0 0 0 a a
0 a 0 a 0 a
b 0 0 0 b b
0 b 0 b 0 b
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b 0 b 0 b
0 b c a c b
b 0 0 0 b b
b 0 c c a b
b b 0 b b 0
b b c a a 0
0 a 0 a 0 a
0 a c b c a
0 c 0 c 0 c
0 c c 0 c c
b a 0 a b c
b a c b a c
b c 0 c b a
b c c 0 a a
a 0 0 0 a a
a 0 c c b a
a b 0 b a c
a b c a b c
c 0 0 0 c c
c 0 c c 0 c
c b 0 b c a
c b c a 0 a
a a 0 a a 0
a a c b b 0
a c 0 c a b
a c c 0 b b
c a 0 a c b
c a c b 0 b
c c 0 c c 0
c c c 0 0 0

dmin: 3
Weight Enumerator: 1x0 + 0x1 + 0x2 + 8x3 + 5x4 + 16x5 + 2x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0

Is it a nice code?: No

Generator Matrix-240

a 0 0 0 a a
0 a 0 a 0 a
b 0 0 0 b b
0 b 0 b 0 b
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b 0 b 0 b
0 b c a c a
b 0 0 0 b b
b 0 c c a a
b b 0 b b 0
b b c a a c
0 a 0 a 0 a
0 a c b c b
0 c 0 c 0 c
0 c c 0 c 0
b a 0 a b c
b a c b a 0
b c 0 c b a
b c c 0 a b
a 0 0 0 a a
a 0 c c b b
a b 0 b a c
a b c a b 0
c 0 0 0 c c
c 0 c c 0 0
c b 0 b c a
c b c a 0 b
a a 0 a a 0
a a c b b c
a c 0 c a b
a c c 0 b a
c a 0 a c b
c a c b 0 a
c c 0 c c 0
c c c 0 0 c

dmin: 3
Weight Enumerator: 1x0 + 0x1 + 0x2 + 8x3 + 5x4 + 16x5 + 2x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)3 (X_b)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_b)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_b)4 + (X_a)2 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0

Is it a nice code?: No

Generator Matrix-241

a 0 0 0 a a
0 a 0 a a 0
b 0 0 0 b b
0 b 0 b b 0
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b 0 b b 0
0 b c b b 0
b 0 0 0 b b
b 0 c 0 b b
b b 0 b 0 b
b b c b 0 b
0 a 0 a a 0
0 a c a a 0
0 c 0 c c 0
0 c c c c 0
b a 0 a c b
b a c a c b
b c 0 c a b
b c c c a b
a 0 0 0 a a
a 0 c 0 a a
a b 0 b c a
a b c b c a
c 0 0 0 c c
c 0 c 0 c c
c b 0 b a c
c b c b a c
a a 0 a 0 a
a a c a 0 a
a c 0 c b a
a c c c b a
c a 0 a b c
c a c a b c
c c 0 c 0 c
c c c c 0 c

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 0x2 + 6x3 + 9x4 + 9x5 + 6x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_b)3 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_b)3 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_b)4 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)3 (X_c)1 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)3 + (X_0)2 (X_a)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)4 + (X_0)1 (X_a)4 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0

Is it a nice code?: No

Generator Matrix-242

a 0 0 0 a a
0 a 0 a a 0
b 0 0 0 b b
0 b 0 b b 0
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b 0 b b 0
0 b c b b c
b 0 0 0 b b
b 0 c 0 b a
b b 0 b 0 b
b b c b 0 a
0 a 0 a a 0
0 a c a a c
0 c 0 c c 0
0 c c c c c
b a 0 a c b
b a c a c a
b c 0 c a b
b c c c a a
a 0 0 0 a a
a 0 c 0 a b
a b 0 b c a
a b c b c b
c 0 0 0 c c
c 0 c 0 c 0
c b 0 b a c
c b c b a 0
a a 0 a 0 a
a a c a 0 b
a c 0 c b a
a c c c b b
c a 0 a b c
c a c a b 0
c c 0 c 0 c
c c c c 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 7x3 + 6x4 + 13x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)3 (X_a)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0

Is it a nice code?: No

Generator Matrix-243

a 0 0 0 a a
0 a 0 a a 0
b 0 0 0 b b
0 b 0 b b 0
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b 0 b b 0
0 b c b a 0
b 0 0 0 b b
b 0 c 0 a b
b b 0 b 0 b
b b c b c b
0 a 0 a a 0
0 a c a b 0
0 c 0 c c 0
0 c c c 0 0
b a 0 a c b
b a c a 0 b
b c 0 c a b
b c c c b b
a 0 0 0 a a
a 0 c 0 b a
a b 0 b c a
a b c b 0 a
c 0 0 0 c c
c 0 c 0 0 c
c b 0 b a c
c b c b b c
a a 0 a 0 a
a a c a c a
a c 0 c b a
a c c c a a
c a 0 a b c
c a c a a c
c c 0 c 0 c
c c c c c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 8x3 + 7x4 + 8x5 + 7x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_b)4 + (X_b)4 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_b)3 (X_c)3 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_b)3 (X_c)3 + (X_0)2 (X_a)4 + (X_a)4 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)3 (X_c)3 + (X_0)2 (X_c)4 + (X_c)6

Dual Codewords:

0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0

Is it a nice code?: No

Generator Matrix-244

a 0 0 0 a a
0 a 0 a a 0
b 0 0 0 b b
0 b 0 b b 0
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b 0 b b 0
0 b c b a c
b 0 0 0 b b
b 0 c 0 a a
b b 0 b 0 b
b b c b c a
0 a 0 a a 0
0 a c a b c
0 c 0 c c 0
0 c c c 0 c
b a 0 a c b
b a c a 0 a
b c 0 c a b
b c c c b a
a 0 0 0 a a
a 0 c 0 b b
a b 0 b c a
a b c b 0 b
c 0 0 0 c c
c 0 c 0 0 0
c b 0 b a c
c b c b b 0
a a 0 a 0 a
a a c a c b
a c 0 c b a
a c c c a b
c a 0 a b c
c a c a a 0
c c 0 c 0 c
c c c c c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 7x3 + 6x4 + 13x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_b)4 + (X_a)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)4 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0

Is it a nice code?: No

Generator Matrix-245

a 0 0 0 a a
0 a 0 a a 0
b 0 0 0 b b
0 b 0 b b 0
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b 0 b b 0
0 b c a b 0
b 0 0 0 b b
b 0 c c b b
b b 0 b 0 b
b b c a 0 b
0 a 0 a a 0
0 a c b a 0
0 c 0 c c 0
0 c c 0 c 0
b a 0 a c b
b a c b c b
b c 0 c a b
b c c 0 a b
a 0 0 0 a a
a 0 c c a a
a b 0 b c a
a b c a c a
c 0 0 0 c c
c 0 c c c c
c b 0 b a c
c b c a a c
a a 0 a 0 a
a a c b 0 a
a c 0 c b a
a c c 0 b a
c a 0 a b c
c a c b b c
c c 0 c 0 c
c c c 0 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 7x3 + 6x4 + 13x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_b)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0

Is it a nice code?: No

Generator Matrix-246

a 0 0 0 a a
0 a 0 a a 0
b 0 0 0 b b
0 b 0 b b 0
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b 0 b b 0
0 b c a b c
b 0 0 0 b b
b 0 c c b a
b b 0 b 0 b
b b c a 0 a
0 a 0 a a 0
0 a c b a c
0 c 0 c c 0
0 c c 0 c c
b a 0 a c b
b a c b c a
b c 0 c a b
b c c 0 a a
a 0 0 0 a a
a 0 c c a b
a b 0 b c a
a b c a c b
c 0 0 0 c c
c 0 c c c 0
c b 0 b a c
c b c a a 0
a a 0 a 0 a
a a c b 0 b
a c 0 c b a
a c c 0 b b
c a 0 a b c
c a c b b 0
c c 0 c 0 c
c c c 0 0 0

dmin: 3
Weight Enumerator: 1x0 + 0x1 + 0x2 + 8x3 + 5x4 + 16x5 + 2x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0

Is it a nice code?: No

Generator Matrix-247

a 0 0 0 a a
0 a 0 a a 0
b 0 0 0 b b
0 b 0 b b 0
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b 0 b b 0
0 b c a a 0
b 0 0 0 b b
b 0 c c a b
b b 0 b 0 b
b b c a c b
0 a 0 a a 0
0 a c b b 0
0 c 0 c c 0
0 c c 0 0 0
b a 0 a c b
b a c b 0 b
b c 0 c a b
b c c 0 b b
a 0 0 0 a a
a 0 c c b a
a b 0 b c a
a b c a 0 a
c 0 0 0 c c
c 0 c c 0 c
c b 0 b a c
c b c a b c
a a 0 a 0 a
a a c b c a
a c 0 c b a
a c c 0 a a
c a 0 a b c
c a c b a c
c c 0 c 0 c
c c c 0 c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 7x3 + 6x4 + 13x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_b)4 + (X_a)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)4 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0

Is it a nice code?: No

Generator Matrix-248

a 0 0 0 a a
0 a 0 a a 0
b 0 0 0 b b
0 b 0 b b 0
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b 0 b b 0
0 b c a a c
b 0 0 0 b b
b 0 c c a a
b b 0 b 0 b
b b c a c a
0 a 0 a a 0
0 a c b b c
0 c 0 c c 0
0 c c 0 0 c
b a 0 a c b
b a c b 0 a
b c 0 c a b
b c c 0 b a
a 0 0 0 a a
a 0 c c b b
a b 0 b c a
a b c a 0 b
c 0 0 0 c c
c 0 c c 0 0
c b 0 b a c
c b c a b 0
a a 0 a 0 a
a a c b c b
a c 0 c b a
a c c 0 a b
c a 0 a b c
c a c b a 0
c c 0 c 0 c
c c c 0 c 0

dmin: 3
Weight Enumerator: 1x0 + 0x1 + 0x2 + 8x3 + 5x4 + 16x5 + 2x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)3 (X_b)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_b)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_b)4 + (X_a)2 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0

Is it a nice code?: No

Generator Matrix-249

a 0 0 0 a a
0 a 0 a a a
b 0 0 0 b b
0 b 0 b b b
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b 0 b b b
0 b c b b b
b 0 0 0 b b
b 0 c 0 b b
b b 0 b 0 0
b b c b 0 0
0 a 0 a a a
0 a c a a a
0 c 0 c c c
0 c c c c c
b a 0 a c c
b a c a c c
b c 0 c a a
b c c c a a
a 0 0 0 a a
a 0 c 0 a a
a b 0 b c c
a b c b c c
c 0 0 0 c c
c 0 c 0 c c
c b 0 b a a
c b c b a a
a a 0 a 0 0
a a c a 0 0
a c 0 c b b
a c c c b b
c a 0 a b b
c a c a b b
c c 0 c 0 0
c c c c 0 0

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 0x2 + 6x3 + 9x4 + 9x5 + 6x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_b)4 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_b)3 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)4 (X_c)1 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_a)3 + (X_0)2 (X_a)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0

Is it a nice code?: No

Generator Matrix-250

a 0 0 0 a a
0 a 0 a a a
b 0 0 0 b b
0 b 0 b b b
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b 0 b b b
0 b c b b a
b 0 0 0 b b
b 0 c 0 b a
b b 0 b 0 0
b b c b 0 c
0 a 0 a a a
0 a c a a b
0 c 0 c c c
0 c c c c 0
b a 0 a c c
b a c a c 0
b c 0 c a a
b c c c a b
a 0 0 0 a a
a 0 c 0 a b
a b 0 b c c
a b c b c 0
c 0 0 0 c c
c 0 c 0 c 0
c b 0 b a a
c b c b a b
a a 0 a 0 0
a a c a 0 c
a c 0 c b b
a c c c b a
c a 0 a b b
c a c a b a
c c 0 c 0 0
c c c c 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 7x3 + 6x4 + 13x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_b)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0

Is it a nice code?: No

Generator Matrix-251

a 0 0 0 a a
0 a 0 a a a
b 0 0 0 b b
0 b 0 b b b
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b 0 b b b
0 b c b a b
b 0 0 0 b b
b 0 c 0 a b
b b 0 b 0 0
b b c b c 0
0 a 0 a a a
0 a c a b a
0 c 0 c c c
0 c c c 0 c
b a 0 a c c
b a c a 0 c
b c 0 c a a
b c c c b a
a 0 0 0 a a
a 0 c 0 b a
a b 0 b c c
a b c b 0 c
c 0 0 0 c c
c 0 c 0 0 c
c b 0 b a a
c b c b b a
a a 0 a 0 0
a a c a c 0
a c 0 c b b
a c c c a b
c a 0 a b b
c a c a a b
c c 0 c 0 0
c c c c c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 7x3 + 6x4 + 13x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_b)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0

Is it a nice code?: No

Generator Matrix-252

a 0 0 0 a a
0 a 0 a a a
b 0 0 0 b b
0 b 0 b b b
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b 0 b b b
0 b c b a a
b 0 0 0 b b
b 0 c 0 a a
b b 0 b 0 0
b b c b c c
0 a 0 a a a
0 a c a b b
0 c 0 c c c
0 c c c 0 0
b a 0 a c c
b a c a 0 0
b c 0 c a a
b c c c b b
a 0 0 0 a a
a 0 c 0 b b
a b 0 b c c
a b c b 0 0
c 0 0 0 c c
c 0 c 0 0 0
c b 0 b a a
c b c b b b
a a 0 a 0 0
a a c a c c
a c 0 c b b
a c c c a a
c a 0 a b b
c a c a a a
c c 0 c 0 0
c c c c c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 8x3 + 7x4 + 8x5 + 7x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_b)3 + (X_b)3 (X_c)3 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_b)3 (X_c)3 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_b)4 (X_c)2 + (X_0)3 (X_a)3 + (X_a)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)4 (X_c)2 + (X_0)3 (X_c)3 + (X_c)6

Dual Codewords:

0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0

Is it a nice code?: No

Generator Matrix-253

a 0 0 0 a a
0 a 0 a a a
b 0 0 0 b b
0 b 0 b b b
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b 0 b b b
0 b c a b b
b 0 0 0 b b
b 0 c c b b
b b 0 b 0 0
b b c a 0 0
0 a 0 a a a
0 a c b a a
0 c 0 c c c
0 c c 0 c c
b a 0 a c c
b a c b c c
b c 0 c a a
b c c 0 a a
a 0 0 0 a a
a 0 c c a a
a b 0 b c c
a b c a c c
c 0 0 0 c c
c 0 c c c c
c b 0 b a a
c b c a a a
a a 0 a 0 0
a a c b 0 0
a c 0 c b b
a c c 0 b b
c a 0 a b b
c a c b b b
c c 0 c 0 0
c c c 0 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 7x3 + 6x4 + 13x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)3 (X_b)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0

Is it a nice code?: No

Generator Matrix-254

a 0 0 0 a a
0 a 0 a a a
b 0 0 0 b b
0 b 0 b b b
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b 0 b b b
0 b c a b a
b 0 0 0 b b
b 0 c c b a
b b 0 b 0 0
b b c a 0 c
0 a 0 a a a
0 a c b a b
0 c 0 c c c
0 c c 0 c 0
b a 0 a c c
b a c b c 0
b c 0 c a a
b c c 0 a b
a 0 0 0 a a
a 0 c c a b
a b 0 b c c
a b c a c 0
c 0 0 0 c c
c 0 c c c 0
c b 0 b a a
c b c a a b
a a 0 a 0 0
a a c b 0 c
a c 0 c b b
a c c 0 b a
c a 0 a b b
c a c b b a
c c 0 c 0 0
c c c 0 0 c

dmin: 3
Weight Enumerator: 1x0 + 0x1 + 0x2 + 8x3 + 5x4 + 16x5 + 2x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0

Is it a nice code?: No

Generator Matrix-255

a 0 0 0 a a
0 a 0 a a a
b 0 0 0 b b
0 b 0 b b b
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b 0 b b b
0 b c a a b
b 0 0 0 b b
b 0 c c a b
b b 0 b 0 0
b b c a c 0
0 a 0 a a a
0 a c b b a
0 c 0 c c c
0 c c 0 0 c
b a 0 a c c
b a c b 0 c
b c 0 c a a
b c c 0 b a
a 0 0 0 a a
a 0 c c b a
a b 0 b c c
a b c a 0 c
c 0 0 0 c c
c 0 c c 0 c
c b 0 b a a
c b c a b a
a a 0 a 0 0
a a c b c 0
a c 0 c b b
a c c 0 a b
c a 0 a b b
c a c b a b
c c 0 c 0 0
c c c 0 c 0

dmin: 3
Weight Enumerator: 1x0 + 0x1 + 0x2 + 8x3 + 5x4 + 16x5 + 2x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0

Is it a nice code?: No

Generator Matrix-256

a 0 0 0 a a
0 a 0 a a a
b 0 0 0 b b
0 b 0 b b b
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b 0 b b b
0 b c a a a
b 0 0 0 b b
b 0 c c a a
b b 0 b 0 0
b b c a c c
0 a 0 a a a
0 a c b b b
0 c 0 c c c
0 c c 0 0 0
b a 0 a c c
b a c b 0 0
b c 0 c a a
b c c 0 b b
a 0 0 0 a a
a 0 c c b b
a b 0 b c c
a b c a 0 0
c 0 0 0 c c
c 0 c c 0 0
c b 0 b a a
c b c a b b
a a 0 a 0 0
a a c b c c
a c 0 c b b
a c c 0 a a
c a 0 a b b
c a c b a a
c c 0 c 0 0
c c c 0 c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 7x3 + 6x4 + 13x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)2 (X_b)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)3 (X_b)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_b)3 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0

Is it a nice code?: No

Generator Matrix-257

a 0 0 a 0 0
0 a 0 0 0 0
b 0 0 b 0 0
0 b 0 0 0 0
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b 0 0 0 0
0 b c 0 0 0
b 0 0 b 0 0
b 0 c b 0 0
b b 0 b 0 0
b b c b 0 0
0 a 0 0 0 0
0 a c 0 0 0
0 c 0 0 0 0
0 c c 0 0 0
b a 0 b 0 0
b a c b 0 0
b c 0 b 0 0
b c c b 0 0
a 0 0 a 0 0
a 0 c a 0 0
a b 0 a 0 0
a b c a 0 0
c 0 0 c 0 0
c 0 c c 0 0
c b 0 c 0 0
c b c c 0 0
a a 0 a 0 0
a a c a 0 0
a c 0 a 0 0
a c c a 0 0
c a 0 c 0 0
c a c c 0 0
c c 0 c 0 0
c c c c 0 0

dmin: 1
Weight Enumerator: 1x0 + 4x1 + 6x2 + 12x3 + 9x4 + 0x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)5 (X_b)1 + (X_0)4 (X_b)1 (X_c)1 + (X_0)4 (X_b)2 + (X_0)3 (X_b)2 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_b)3 (X_c)1 + (X_0)5 (X_a)1 + (X_0)4 (X_a)1 (X_c)1 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_a)1 (X_b)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_b)2 (X_c)1 + (X_0)2 (X_b)2 (X_c)2 + (X_0)4 (X_a)2 + (X_0)3 (X_a)2 (X_c)1 + (X_0)3 (X_a)2 (X_b)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_b)1 (X_c)2 + (X_0)2 (X_b)1 (X_c)3 + (X_0)3 (X_a)3 + (X_0)2 (X_a)3 (X_c)1 + (X_0)3 (X_a)2 (X_c)1 + (X_0)2 (X_a)2 (X_c)2 + (X_0)3 (X_a)1 (X_c)2 + (X_0)2 (X_a)1 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 a 0 a 0
0 0 a 0 a a
0 0 a 0 a b
0 0 a 0 a c
0 0 a 0 b 0
0 0 a 0 b a
0 0 a 0 b b
0 0 a 0 b c
0 0 a 0 c 0
0 0 a 0 c a
0 0 a 0 c b
0 0 a 0 c c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 b 0 a 0
0 0 b 0 a a
0 0 b 0 a b
0 0 b 0 a c
0 0 b 0 b 0
0 0 b 0 b a
0 0 b 0 b b
0 0 b 0 b c
0 0 b 0 c 0
0 0 b 0 c a
0 0 b 0 c b
0 0 b 0 c c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c
0 0 c 0 a 0
0 0 c 0 a a
0 0 c 0 a b
0 0 c 0 a c
0 0 c 0 b 0
0 0 c 0 b a
0 0 c 0 b b
0 0 c 0 b c
0 0 c 0 c 0
0 0 c 0 c a
0 0 c 0 c b
0 0 c 0 c c

Is it a nice code?: No

Generator Matrix-258

a 0 0 a 0 0
0 a 0 0 0 0
b 0 0 b 0 0
0 b 0 0 0 0
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b 0 0 0 0
0 b c 0 0 c
b 0 0 b 0 0
b 0 c b 0 c
b b 0 b 0 0
b b c b 0 c
0 a 0 0 0 0
0 a c 0 0 c
0 c 0 0 0 0
0 c c 0 0 c
b a 0 b 0 0
b a c b 0 c
b c 0 b 0 0
b c c b 0 c
a 0 0 a 0 0
a 0 c a 0 c
a b 0 a 0 0
a b c a 0 c
c 0 0 c 0 0
c 0 c c 0 c
c b 0 c 0 0
c b c c 0 c
a a 0 a 0 0
a a c a 0 c
a c 0 a 0 0
a c c a 0 c
c a 0 c 0 0
c a c c 0 c
c c 0 c 0 0
c c c c 0 c

dmin: 1
Weight Enumerator: 1x0 + 3x1 + 4x2 + 12x3 + 3x4 + 9x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)5 (X_b)1 + (X_0)3 (X_b)1 (X_c)2 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)3 (X_b)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)5 (X_a)1 + (X_0)3 (X_a)1 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_b)2 (X_c)1 + (X_0)1 (X_b)2 (X_c)3 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)3 (X_a)2 (X_b)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_b)1 (X_c)2 + (X_0)1 (X_b)1 (X_c)4 + (X_0)3 (X_a)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)3 (X_a)2 (X_c)1 + (X_0)1 (X_a)2 (X_c)3 + (X_0)3 (X_a)1 (X_c)2 + (X_0)1 (X_a)1 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 a 0 a 0
0 0 a 0 a a
0 0 a 0 a b
0 0 a 0 a c
0 0 a 0 b 0
0 0 a 0 b a
0 0 a 0 b b
0 0 a 0 b c
0 0 a 0 c 0
0 0 a 0 c a
0 0 a 0 c b
0 0 a 0 c c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 b 0 a 0
0 0 b 0 a a
0 0 b 0 a b
0 0 b 0 a c
0 0 b 0 b 0
0 0 b 0 b a
0 0 b 0 b b
0 0 b 0 b c
0 0 b 0 c 0
0 0 b 0 c a
0 0 b 0 c b
0 0 b 0 c c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c
0 0 c 0 a 0
0 0 c 0 a a
0 0 c 0 a b
0 0 c 0 a c
0 0 c 0 b 0
0 0 c 0 b a
0 0 c 0 b b
0 0 c 0 b c
0 0 c 0 c 0
0 0 c 0 c a
0 0 c 0 c b
0 0 c 0 c c

Is it a nice code?: No

Generator Matrix-259

a 0 0 a 0 0
0 a 0 0 0 0
b 0 0 b 0 0
0 b 0 0 0 0
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b 0 0 0 0
0 b c 0 c 0
b 0 0 b 0 0
b 0 c b c 0
b b 0 b 0 0
b b c b c 0
0 a 0 0 0 0
0 a c 0 c 0
0 c 0 0 0 0
0 c c 0 c 0
b a 0 b 0 0
b a c b c 0
b c 0 b 0 0
b c c b c 0
a 0 0 a 0 0
a 0 c a c 0
a b 0 a 0 0
a b c a c 0
c 0 0 c 0 0
c 0 c c c 0
c b 0 c 0 0
c b c c c 0
a a 0 a 0 0
a a c a c 0
a c 0 a 0 0
a c c a c 0
c a 0 c 0 0
c a c c c 0
c c 0 c 0 0
c c c c c 0

dmin: 1
Weight Enumerator: 1x0 + 3x1 + 4x2 + 12x3 + 3x4 + 9x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)5 (X_b)1 + (X_0)3 (X_b)1 (X_c)2 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)3 (X_b)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)5 (X_a)1 + (X_0)3 (X_a)1 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_b)2 (X_c)1 + (X_0)1 (X_b)2 (X_c)3 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)3 (X_a)2 (X_b)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_b)1 (X_c)2 + (X_0)1 (X_b)1 (X_c)4 + (X_0)3 (X_a)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)3 (X_a)2 (X_c)1 + (X_0)1 (X_a)2 (X_c)3 + (X_0)3 (X_a)1 (X_c)2 + (X_0)1 (X_a)1 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 a 0 a 0
0 0 a 0 a a
0 0 a 0 a b
0 0 a 0 a c
0 0 a 0 b 0
0 0 a 0 b a
0 0 a 0 b b
0 0 a 0 b c
0 0 a 0 c 0
0 0 a 0 c a
0 0 a 0 c b
0 0 a 0 c c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 b 0 a 0
0 0 b 0 a a
0 0 b 0 a b
0 0 b 0 a c
0 0 b 0 b 0
0 0 b 0 b a
0 0 b 0 b b
0 0 b 0 b c
0 0 b 0 c 0
0 0 b 0 c a
0 0 b 0 c b
0 0 b 0 c c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c
0 0 c 0 a 0
0 0 c 0 a a
0 0 c 0 a b
0 0 c 0 a c
0 0 c 0 b 0
0 0 c 0 b a
0 0 c 0 b b
0 0 c 0 b c
0 0 c 0 c 0
0 0 c 0 c a
0 0 c 0 c b
0 0 c 0 c c

Is it a nice code?: No

Generator Matrix-260

a 0 0 a 0 0
0 a 0 0 0 0
b 0 0 b 0 0
0 b 0 0 0 0
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b 0 0 0 0
0 b c 0 c c
b 0 0 b 0 0
b 0 c b c c
b b 0 b 0 0
b b c b c c
0 a 0 0 0 0
0 a c 0 c c
0 c 0 0 0 0
0 c c 0 c c
b a 0 b 0 0
b a c b c c
b c 0 b 0 0
b c c b c c
a 0 0 a 0 0
a 0 c a c c
a b 0 a 0 0
a b c a c c
c 0 0 c 0 0
c 0 c c c c
c b 0 c 0 0
c b c c c c
a a 0 a 0 0
a a c a c c
a c 0 a 0 0
a c c a c c
c a 0 c 0 0
c a c c c c
c c 0 c 0 0
c c c c c c

dmin: 1
Weight Enumerator: 1x0 + 3x1 + 3x2 + 10x3 + 3x4 + 3x5 + 9x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)5 (X_b)1 + (X_0)2 (X_b)1 (X_c)3 + (X_0)4 (X_b)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)3 (X_b)3 + (X_b)3 (X_c)3 + (X_0)5 (X_a)1 + (X_0)2 (X_a)1 (X_c)3 + (X_0)5 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_a)1 (X_b)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_b)2 (X_c)1 + (X_b)2 (X_c)4 + (X_0)4 (X_a)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)3 (X_a)2 (X_b)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5 + (X_0)3 (X_b)1 (X_c)2 + (X_b)1 (X_c)5 + (X_0)3 (X_a)3 + (X_a)3 (X_c)3 + (X_0)3 (X_a)2 (X_c)1 + (X_a)2 (X_c)4 + (X_0)3 (X_a)1 (X_c)2 + (X_a)1 (X_c)5 + (X_0)3 (X_c)3 + (X_c)6

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 a 0 a 0
0 0 a 0 a a
0 0 a 0 a b
0 0 a 0 a c
0 0 a 0 b 0
0 0 a 0 b a
0 0 a 0 b b
0 0 a 0 b c
0 0 a 0 c 0
0 0 a 0 c a
0 0 a 0 c b
0 0 a 0 c c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 b 0 a 0
0 0 b 0 a a
0 0 b 0 a b
0 0 b 0 a c
0 0 b 0 b 0
0 0 b 0 b a
0 0 b 0 b b
0 0 b 0 b c
0 0 b 0 c 0
0 0 b 0 c a
0 0 b 0 c b
0 0 b 0 c c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c
0 0 c 0 a 0
0 0 c 0 a a
0 0 c 0 a b
0 0 c 0 a c
0 0 c 0 b 0
0 0 c 0 b a
0 0 c 0 b b
0 0 c 0 b c
0 0 c 0 c 0
0 0 c 0 c a
0 0 c 0 c b
0 0 c 0 c c

Is it a nice code?: No

Generator Matrix-261

a 0 0 a 0 0
0 a 0 0 0 0
b 0 0 b 0 0
0 b 0 0 0 0
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b 0 0 0 0
0 b c c 0 0
b 0 0 b 0 0
b 0 c a 0 0
b b 0 b 0 0
b b c a 0 0
0 a 0 0 0 0
0 a c c 0 0
0 c 0 0 0 0
0 c c c 0 0
b a 0 b 0 0
b a c a 0 0
b c 0 b 0 0
b c c a 0 0
a 0 0 a 0 0
a 0 c b 0 0
a b 0 a 0 0
a b c b 0 0
c 0 0 c 0 0
c 0 c 0 0 0
c b 0 c 0 0
c b c 0 0 0
a a 0 a 0 0
a a c b 0 0
a c 0 a 0 0
a c c b 0 0
c a 0 c 0 0
c a c 0 0 0
c c 0 c 0 0
c c c 0 0 0

dmin: 1
Weight Enumerator: 1x0 + 3x1 + 5x2 + 17x3 + 6x4 + 0x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)5 (X_b)1 + (X_0)3 (X_b)1 (X_c)2 + (X_0)4 (X_b)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)5 (X_a)1 + (X_0)3 (X_a)1 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_a)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)3 (X_a)2 (X_b)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_b)1 (X_c)2 + (X_0)3 (X_b)1 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_a)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_a)1 (X_c)2 + (X_0)3 (X_a)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 a 0 a 0
0 0 a 0 a a
0 0 a 0 a b
0 0 a 0 a c
0 0 a 0 b 0
0 0 a 0 b a
0 0 a 0 b b
0 0 a 0 b c
0 0 a 0 c 0
0 0 a 0 c a
0 0 a 0 c b
0 0 a 0 c c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 b 0 a 0
0 0 b 0 a a
0 0 b 0 a b
0 0 b 0 a c
0 0 b 0 b 0
0 0 b 0 b a
0 0 b 0 b b
0 0 b 0 b c
0 0 b 0 c 0
0 0 b 0 c a
0 0 b 0 c b
0 0 b 0 c c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c
0 0 c 0 a 0
0 0 c 0 a a
0 0 c 0 a b
0 0 c 0 a c
0 0 c 0 b 0
0 0 c 0 b a
0 0 c 0 b b
0 0 c 0 b c
0 0 c 0 c 0
0 0 c 0 c a
0 0 c 0 c b
0 0 c 0 c c

Is it a nice code?: No

Generator Matrix-262

a 0 0 a 0 0
0 a 0 0 0 0
b 0 0 b 0 0
0 b 0 0 0 0
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b 0 0 0 0
0 b c c 0 c
b 0 0 b 0 0
b 0 c a 0 c
b b 0 b 0 0
b b c a 0 c
0 a 0 0 0 0
0 a c c 0 c
0 c 0 0 0 0
0 c c c 0 c
b a 0 b 0 0
b a c a 0 c
b c 0 b 0 0
b c c a 0 c
a 0 0 a 0 0
a 0 c b 0 c
a b 0 a 0 0
a b c b 0 c
c 0 0 c 0 0
c 0 c 0 0 c
c b 0 c 0 0
c b c 0 0 c
a a 0 a 0 0
a a c b 0 c
a c 0 a 0 0
a c c b 0 c
c a 0 c 0 0
c a c 0 0 c
c c 0 c 0 0
c c c 0 0 c

dmin: 1
Weight Enumerator: 1x0 + 3x1 + 3x2 + 11x3 + 8x4 + 6x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)5 (X_b)1 + (X_0)2 (X_b)1 (X_c)3 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)5 (X_a)1 + (X_0)2 (X_a)1 (X_c)3 + (X_0)5 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_a)1 (X_b)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_a)2 (X_b)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_b)1 (X_c)2 + (X_0)2 (X_b)1 (X_c)3 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_a)1 (X_c)2 + (X_0)2 (X_a)1 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 a 0 a 0
0 0 a 0 a a
0 0 a 0 a b
0 0 a 0 a c
0 0 a 0 b 0
0 0 a 0 b a
0 0 a 0 b b
0 0 a 0 b c
0 0 a 0 c 0
0 0 a 0 c a
0 0 a 0 c b
0 0 a 0 c c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 b 0 a 0
0 0 b 0 a a
0 0 b 0 a b
0 0 b 0 a c
0 0 b 0 b 0
0 0 b 0 b a
0 0 b 0 b b
0 0 b 0 b c
0 0 b 0 c 0
0 0 b 0 c a
0 0 b 0 c b
0 0 b 0 c c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c
0 0 c 0 a 0
0 0 c 0 a a
0 0 c 0 a b
0 0 c 0 a c
0 0 c 0 b 0
0 0 c 0 b a
0 0 c 0 b b
0 0 c 0 b c
0 0 c 0 c 0
0 0 c 0 c a
0 0 c 0 c b
0 0 c 0 c c

Is it a nice code?: No

Generator Matrix-263

a 0 0 a 0 0
0 a 0 0 0 0
b 0 0 b 0 0
0 b 0 0 0 0
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b 0 0 0 0
0 b c c c 0
b 0 0 b 0 0
b 0 c a c 0
b b 0 b 0 0
b b c a c 0
0 a 0 0 0 0
0 a c c c 0
0 c 0 0 0 0
0 c c c c 0
b a 0 b 0 0
b a c a c 0
b c 0 b 0 0
b c c a c 0
a 0 0 a 0 0
a 0 c b c 0
a b 0 a 0 0
a b c b c 0
c 0 0 c 0 0
c 0 c 0 c 0
c b 0 c 0 0
c b c 0 c 0
a a 0 a 0 0
a a c b c 0
a c 0 a 0 0
a c c b c 0
c a 0 c 0 0
c a c 0 c 0
c c 0 c 0 0
c c c 0 c 0

dmin: 1
Weight Enumerator: 1x0 + 3x1 + 3x2 + 11x3 + 8x4 + 6x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)5 (X_b)1 + (X_0)2 (X_b)1 (X_c)3 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)5 (X_a)1 + (X_0)2 (X_a)1 (X_c)3 + (X_0)5 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_a)1 (X_b)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_a)2 (X_b)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_b)1 (X_c)2 + (X_0)2 (X_b)1 (X_c)3 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_a)1 (X_c)2 + (X_0)2 (X_a)1 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 a 0 a 0
0 0 a 0 a a
0 0 a 0 a b
0 0 a 0 a c
0 0 a 0 b 0
0 0 a 0 b a
0 0 a 0 b b
0 0 a 0 b c
0 0 a 0 c 0
0 0 a 0 c a
0 0 a 0 c b
0 0 a 0 c c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 b 0 a 0
0 0 b 0 a a
0 0 b 0 a b
0 0 b 0 a c
0 0 b 0 b 0
0 0 b 0 b a
0 0 b 0 b b
0 0 b 0 b c
0 0 b 0 c 0
0 0 b 0 c a
0 0 b 0 c b
0 0 b 0 c c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c
0 0 c 0 a 0
0 0 c 0 a a
0 0 c 0 a b
0 0 c 0 a c
0 0 c 0 b 0
0 0 c 0 b a
0 0 c 0 b b
0 0 c 0 b c
0 0 c 0 c 0
0 0 c 0 c a
0 0 c 0 c b
0 0 c 0 c c

Is it a nice code?: No

Generator Matrix-264

a 0 0 a 0 0
0 a 0 0 0 0
b 0 0 b 0 0
0 b 0 0 0 0
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b 0 0 0 0
0 b c c c c
b 0 0 b 0 0
b 0 c a c c
b b 0 b 0 0
b b c a c c
0 a 0 0 0 0
0 a c c c c
0 c 0 0 0 0
0 c c c c c
b a 0 b 0 0
b a c a c c
b c 0 b 0 0
b c c a c c
a 0 0 a 0 0
a 0 c b c c
a b 0 a 0 0
a b c b c c
c 0 0 c 0 0
c 0 c 0 c c
c b 0 c 0 0
c b c 0 c c
a a 0 a 0 0
a a c b c c
a c 0 a 0 0
a c c b c c
c a 0 c 0 0
c a c 0 c c
c c 0 c 0 0
c c c 0 c c

dmin: 1
Weight Enumerator: 1x0 + 3x1 + 3x2 + 9x3 + 2x4 + 8x5 + 6x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)5 (X_b)1 + (X_0)1 (X_b)1 (X_c)4 + (X_0)4 (X_b)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_b)3 + (X_a)1 (X_b)2 (X_c)3 + (X_0)5 (X_a)1 + (X_0)1 (X_a)1 (X_c)4 + (X_0)5 (X_c)1 + (X_0)1 (X_c)5 + (X_0)3 (X_a)1 (X_b)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_b)2 (X_c)1 + (X_a)1 (X_b)1 (X_c)4 + (X_0)4 (X_a)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_a)2 (X_b)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_b)1 (X_c)2 + (X_0)1 (X_b)1 (X_c)4 + (X_0)3 (X_a)3 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_a)2 (X_c)1 + (X_a)1 (X_b)1 (X_c)4 + (X_0)3 (X_a)1 (X_c)2 + (X_0)1 (X_a)1 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 a 0 a 0
0 0 a 0 a a
0 0 a 0 a b
0 0 a 0 a c
0 0 a 0 b 0
0 0 a 0 b a
0 0 a 0 b b
0 0 a 0 b c
0 0 a 0 c 0
0 0 a 0 c a
0 0 a 0 c b
0 0 a 0 c c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 b 0 a 0
0 0 b 0 a a
0 0 b 0 a b
0 0 b 0 a c
0 0 b 0 b 0
0 0 b 0 b a
0 0 b 0 b b
0 0 b 0 b c
0 0 b 0 c 0
0 0 b 0 c a
0 0 b 0 c b
0 0 b 0 c c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c
0 0 c 0 a 0
0 0 c 0 a a
0 0 c 0 a b
0 0 c 0 a c
0 0 c 0 b 0
0 0 c 0 b a
0 0 c 0 b b
0 0 c 0 b c
0 0 c 0 c 0
0 0 c 0 c a
0 0 c 0 c b
0 0 c 0 c c

Is it a nice code?: No

Generator Matrix-265

a 0 0 a 0 0
0 a 0 0 0 a
b 0 0 b 0 0
0 b 0 0 0 b
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b 0 0 0 b
0 b c 0 0 b
b 0 0 b 0 0
b 0 c b 0 0
b b 0 b 0 b
b b c b 0 b
0 a 0 0 0 a
0 a c 0 0 a
0 c 0 0 0 c
0 c c 0 0 c
b a 0 b 0 a
b a c b 0 a
b c 0 b 0 c
b c c b 0 c
a 0 0 a 0 0
a 0 c a 0 0
a b 0 a 0 b
a b c a 0 b
c 0 0 c 0 0
c 0 c c 0 0
c b 0 c 0 b
c b c c 0 b
a a 0 a 0 a
a a c a 0 a
a c 0 a 0 c
a c c a 0 c
c a 0 c 0 a
c a c c 0 a
c c 0 c 0 c
c c c c 0 c

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 6x2 + 6x3 + 9x4 + 9x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)4 (X_b)2 + (X_0)3 (X_b)2 (X_c)1 + (X_0)4 (X_b)2 + (X_0)3 (X_b)2 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_b)4 (X_c)1 + (X_0)4 (X_a)2 + (X_0)3 (X_a)2 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_b)2 (X_c)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)4 (X_a)2 + (X_0)3 (X_a)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_b)2 (X_c)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)4 + (X_0)1 (X_a)4 (X_c)1 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 a 0 0 0
0 0 a 0 a 0
0 0 a 0 b 0
0 0 a 0 c 0
0 0 b 0 0 0
0 0 b 0 a 0
0 0 b 0 b 0
0 0 b 0 c 0
0 0 c 0 0 0
0 0 c 0 a 0
0 0 c 0 b 0
0 0 c 0 c 0

Is it a nice code?: No

Generator Matrix-266

a 0 0 a 0 0
0 a 0 0 0 a
b 0 0 b 0 0
0 b 0 0 0 b
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b 0 0 0 b
0 b c 0 0 a
b 0 0 b 0 0
b 0 c b 0 c
b b 0 b 0 b
b b c b 0 a
0 a 0 0 0 a
0 a c 0 0 b
0 c 0 0 0 c
0 c c 0 0 0
b a 0 b 0 a
b a c b 0 b
b c 0 b 0 c
b c c b 0 0
a 0 0 a 0 0
a 0 c a 0 c
a b 0 a 0 b
a b c a 0 a
c 0 0 c 0 0
c 0 c c 0 c
c b 0 c 0 b
c b c c 0 a
a a 0 a 0 a
a a c a 0 b
a c 0 a 0 c
a c c a 0 0
c a 0 c 0 a
c a c c 0 b
c c 0 c 0 c
c c c c 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 8x2 + 2x3 + 15x4 + 6x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_b)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)4 (X_a)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 a 0 0 0
0 0 a 0 a 0
0 0 a 0 b 0
0 0 a 0 c 0
0 0 b 0 0 0
0 0 b 0 a 0
0 0 b 0 b 0
0 0 b 0 c 0
0 0 c 0 0 0
0 0 c 0 a 0
0 0 c 0 b 0
0 0 c 0 c 0

Is it a nice code?: No

Generator Matrix-267

a 0 0 a 0 0
0 a 0 0 0 a
b 0 0 b 0 0
0 b 0 0 0 b
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b 0 0 0 b
0 b c 0 c b
b 0 0 b 0 0
b 0 c b c 0
b b 0 b 0 b
b b c b c b
0 a 0 0 0 a
0 a c 0 c a
0 c 0 0 0 c
0 c c 0 c c
b a 0 b 0 a
b a c b c a
b c 0 b 0 c
b c c b c c
a 0 0 a 0 0
a 0 c a c 0
a b 0 a 0 b
a b c a c b
c 0 0 c 0 0
c 0 c c c 0
c b 0 c 0 b
c b c c c b
a a 0 a 0 a
a a c a c a
a c 0 a 0 c
a c c a c c
c a 0 c 0 a
c a c c c a
c c 0 c 0 c
c c c c c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 7x2 + 0x3 + 15x4 + 0x5 + 9x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_b)4 + (X_b)4 (X_c)2 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_a)2 (X_b)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_b)2 (X_c)2 + (X_b)2 (X_c)4 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_b)2 (X_c)2 + (X_b)2 (X_c)4 + (X_0)2 (X_a)4 + (X_a)4 (X_c)2 + (X_0)2 (X_a)2 (X_c)2 + (X_a)2 (X_c)4 + (X_0)2 (X_a)2 (X_c)2 + (X_a)2 (X_c)4 + (X_0)2 (X_c)4 + (X_c)6

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 a 0 0 0
0 0 a 0 a 0
0 0 a 0 b 0
0 0 a 0 c 0
0 0 b 0 0 0
0 0 b 0 a 0
0 0 b 0 b 0
0 0 b 0 c 0
0 0 c 0 0 0
0 0 c 0 a 0
0 0 c 0 b 0
0 0 c 0 c 0

Is it a nice code?: No

Generator Matrix-268

a 0 0 a 0 0
0 a 0 0 0 a
b 0 0 b 0 0
0 b 0 0 0 b
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b 0 0 0 b
0 b c 0 c a
b 0 0 b 0 0
b 0 c b c c
b b 0 b 0 b
b b c b c a
0 a 0 0 0 a
0 a c 0 c b
0 c 0 0 0 c
0 c c 0 c 0
b a 0 b 0 a
b a c b c b
b c 0 b 0 c
b c c b c 0
a 0 0 a 0 0
a 0 c a c c
a b 0 a 0 b
a b c a c a
c 0 0 c 0 0
c 0 c c c c
c b 0 c 0 b
c b c c c a
a a 0 a 0 a
a a c a c b
a c 0 a 0 c
a c c a c 0
c a 0 c 0 a
c a c c c b
c c 0 c 0 c
c c c c c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 6x2 + 2x3 + 11x4 + 6x5 + 6x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_b)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)2 (X_b)4 + (X_a)1 (X_b)3 (X_c)2 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_a)2 (X_b)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)4 (X_a)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)2 (X_a)2 (X_b)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5 + (X_0)2 (X_b)2 (X_c)2 + (X_a)1 (X_b)1 (X_c)4 + (X_0)2 (X_a)4 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)2 (X_a)2 (X_c)2 + (X_a)1 (X_b)1 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 a 0 0 0
0 0 a 0 a 0
0 0 a 0 b 0
0 0 a 0 c 0
0 0 b 0 0 0
0 0 b 0 a 0
0 0 b 0 b 0
0 0 b 0 c 0
0 0 c 0 0 0
0 0 c 0 a 0
0 0 c 0 b 0
0 0 c 0 c 0

Is it a nice code?: No

Generator Matrix-269

a 0 0 a 0 0
0 a 0 0 0 a
b 0 0 b 0 0
0 b 0 0 0 b
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b 0 0 0 b
0 b c c 0 b
b 0 0 b 0 0
b 0 c a 0 0
b b 0 b 0 b
b b c a 0 b
0 a 0 0 0 a
0 a c c 0 a
0 c 0 0 0 c
0 c c c 0 c
b a 0 b 0 a
b a c a 0 a
b c 0 b 0 c
b c c a 0 c
a 0 0 a 0 0
a 0 c b 0 0
a b 0 a 0 b
a b c b 0 b
c 0 0 c 0 0
c 0 c 0 0 0
c b 0 c 0 b
c b c 0 0 b
a a 0 a 0 a
a a c b 0 a
a c 0 a 0 c
a c c b 0 c
c a 0 c 0 a
c a c 0 0 a
c c 0 c 0 c
c c c 0 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 8x2 + 2x3 + 15x4 + 6x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)4 (X_b)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_a)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 a 0 0 0
0 0 a 0 a 0
0 0 a 0 b 0
0 0 a 0 c 0
0 0 b 0 0 0
0 0 b 0 a 0
0 0 b 0 b 0
0 0 b 0 c 0
0 0 c 0 0 0
0 0 c 0 a 0
0 0 c 0 b 0
0 0 c 0 c 0

Is it a nice code?: No

Generator Matrix-270

a 0 0 a 0 0
0 a 0 0 0 a
b 0 0 b 0 0
0 b 0 0 0 b
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b 0 0 0 b
0 b c c 0 a
b 0 0 b 0 0
b 0 c a 0 c
b b 0 b 0 b
b b c a 0 a
0 a 0 0 0 a
0 a c c 0 b
0 c 0 0 0 c
0 c c c 0 0
b a 0 b 0 a
b a c a 0 b
b c 0 b 0 c
b c c a 0 0
a 0 0 a 0 0
a 0 c b 0 c
a b 0 a 0 b
a b c b 0 a
c 0 0 c 0 0
c 0 c 0 0 c
c b 0 c 0 b
c b c 0 0 a
a a 0 a 0 a
a a c b 0 b
a c 0 a 0 c
a c c b 0 0
c a 0 c 0 a
c a c 0 0 b
c c 0 c 0 c
c c c 0 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 6x2 + 4x3 + 17x4 + 4x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 a 0 0 0
0 0 a 0 a 0
0 0 a 0 b 0
0 0 a 0 c 0
0 0 b 0 0 0
0 0 b 0 a 0
0 0 b 0 b 0
0 0 b 0 c 0
0 0 c 0 0 0
0 0 c 0 a 0
0 0 c 0 b 0
0 0 c 0 c 0

Is it a nice code?: No

Generator Matrix-271

a 0 0 a 0 0
0 a 0 0 0 a
b 0 0 b 0 0
0 b 0 0 0 b
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b 0 0 0 b
0 b c c c b
b 0 0 b 0 0
b 0 c a c 0
b b 0 b 0 b
b b c a c b
0 a 0 0 0 a
0 a c c c a
0 c 0 0 0 c
0 c c c c c
b a 0 b 0 a
b a c a c a
b c 0 b 0 c
b c c a c c
a 0 0 a 0 0
a 0 c b c 0
a b 0 a 0 b
a b c b c b
c 0 0 c 0 0
c 0 c 0 c 0
c b 0 c 0 b
c b c 0 c b
a a 0 a 0 a
a a c b c a
a c 0 a 0 c
a c c b c c
c a 0 c 0 a
c a c 0 c a
c c 0 c 0 c
c c c 0 c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 6x2 + 2x3 + 11x4 + 6x5 + 6x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)4 (X_b)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_b)4 + (X_a)1 (X_b)3 (X_c)2 + (X_0)4 (X_a)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5 + (X_0)2 (X_a)2 (X_b)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_b)2 (X_c)2 + (X_a)1 (X_b)1 (X_c)4 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_b)2 (X_c)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)4 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_c)2 + (X_a)1 (X_b)1 (X_c)4 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 a 0 0 0
0 0 a 0 a 0
0 0 a 0 b 0
0 0 a 0 c 0
0 0 b 0 0 0
0 0 b 0 a 0
0 0 b 0 b 0
0 0 b 0 c 0
0 0 c 0 0 0
0 0 c 0 a 0
0 0 c 0 b 0
0 0 c 0 c 0

Is it a nice code?: No

Generator Matrix-272

a 0 0 a 0 0
0 a 0 0 0 a
b 0 0 b 0 0
0 b 0 0 0 b
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b 0 0 0 b
0 b c c c a
b 0 0 b 0 0
b 0 c a c c
b b 0 b 0 b
b b c a c a
0 a 0 0 0 a
0 a c c c b
0 c 0 0 0 c
0 c c c c 0
b a 0 b 0 a
b a c a c b
b c 0 b 0 c
b c c a c 0
a 0 0 a 0 0
a 0 c b c c
a b 0 a 0 b
a b c b c a
c 0 0 c 0 0
c 0 c 0 c c
c b 0 c 0 b
c b c 0 c a
a a 0 a 0 a
a a c b c b
a c 0 a 0 c
a c c b c 0
c a 0 c 0 a
c a c 0 c b
c c 0 c 0 c
c c c 0 c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 6x2 + 0x3 + 13x4 + 8x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)4 (X_b)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_b)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_b)4 + (X_a)2 (X_b)2 (X_c)2 + (X_0)4 (X_a)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_a)2 (X_b)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_a)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)2 (X_b)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)4 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 a 0 0 0
0 0 a 0 a 0
0 0 a 0 b 0
0 0 a 0 c 0
0 0 b 0 0 0
0 0 b 0 a 0
0 0 b 0 b 0
0 0 b 0 c 0
0 0 c 0 0 0
0 0 c 0 a 0
0 0 c 0 b 0
0 0 c 0 c 0

Is it a nice code?: No

Generator Matrix-273

a 0 0 a 0 0
0 a 0 0 a 0
b 0 0 b 0 0
0 b 0 0 b 0
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b 0 0 b 0
0 b c 0 b 0
b 0 0 b 0 0
b 0 c b 0 0
b b 0 b b 0
b b c b b 0
0 a 0 0 a 0
0 a c 0 a 0
0 c 0 0 c 0
0 c c 0 c 0
b a 0 b a 0
b a c b a 0
b c 0 b c 0
b c c b c 0
a 0 0 a 0 0
a 0 c a 0 0
a b 0 a b 0
a b c a b 0
c 0 0 c 0 0
c 0 c c 0 0
c b 0 c b 0
c b c c b 0
a a 0 a a 0
a a c a a 0
a c 0 a c 0
a c c a c 0
c a 0 c a 0
c a c c a 0
c c 0 c c 0
c c c c c 0

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 6x2 + 6x3 + 9x4 + 9x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)4 (X_b)2 + (X_0)3 (X_b)2 (X_c)1 + (X_0)4 (X_b)2 + (X_0)3 (X_b)2 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_b)4 (X_c)1 + (X_0)4 (X_a)2 + (X_0)3 (X_a)2 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_b)2 (X_c)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)4 (X_a)2 + (X_0)3 (X_a)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_b)2 (X_c)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)4 + (X_0)1 (X_a)4 (X_c)1 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c

Is it a nice code?: No

Generator Matrix-274

a 0 0 a 0 0
0 a 0 0 a 0
b 0 0 b 0 0
0 b 0 0 b 0
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b 0 0 b 0
0 b c 0 b c
b 0 0 b 0 0
b 0 c b 0 c
b b 0 b b 0
b b c b b c
0 a 0 0 a 0
0 a c 0 a c
0 c 0 0 c 0
0 c c 0 c c
b a 0 b a 0
b a c b a c
b c 0 b c 0
b c c b c c
a 0 0 a 0 0
a 0 c a 0 c
a b 0 a b 0
a b c a b c
c 0 0 c 0 0
c 0 c c 0 c
c b 0 c b 0
c b c c b c
a a 0 a a 0
a a c a a c
a c 0 a c 0
a c c a c c
c a 0 c a 0
c a c c a c
c c 0 c c 0
c c c c c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 7x2 + 0x3 + 15x4 + 0x5 + 9x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_b)4 + (X_b)4 (X_c)2 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_a)2 (X_b)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_b)2 (X_c)2 + (X_b)2 (X_c)4 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_b)2 (X_c)2 + (X_b)2 (X_c)4 + (X_0)2 (X_a)4 + (X_a)4 (X_c)2 + (X_0)2 (X_a)2 (X_c)2 + (X_a)2 (X_c)4 + (X_0)2 (X_a)2 (X_c)2 + (X_a)2 (X_c)4 + (X_0)2 (X_c)4 + (X_c)6

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c

Is it a nice code?: No

Generator Matrix-275

a 0 0 a 0 0
0 a 0 0 a 0
b 0 0 b 0 0
0 b 0 0 b 0
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b 0 0 b 0
0 b c 0 a 0
b 0 0 b 0 0
b 0 c b c 0
b b 0 b b 0
b b c b a 0
0 a 0 0 a 0
0 a c 0 b 0
0 c 0 0 c 0
0 c c 0 0 0
b a 0 b a 0
b a c b b 0
b c 0 b c 0
b c c b 0 0
a 0 0 a 0 0
a 0 c a c 0
a b 0 a b 0
a b c a a 0
c 0 0 c 0 0
c 0 c c c 0
c b 0 c b 0
c b c c a 0
a a 0 a a 0
a a c a b 0
a c 0 a c 0
a c c a 0 0
c a 0 c a 0
c a c c b 0
c c 0 c c 0
c c c c 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 8x2 + 2x3 + 15x4 + 6x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_b)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)4 (X_a)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c

Is it a nice code?: No

Generator Matrix-276

a 0 0 a 0 0
0 a 0 0 a 0
b 0 0 b 0 0
0 b 0 0 b 0
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b 0 0 b 0
0 b c 0 a c
b 0 0 b 0 0
b 0 c b c c
b b 0 b b 0
b b c b a c
0 a 0 0 a 0
0 a c 0 b c
0 c 0 0 c 0
0 c c 0 0 c
b a 0 b a 0
b a c b b c
b c 0 b c 0
b c c b 0 c
a 0 0 a 0 0
a 0 c a c c
a b 0 a b 0
a b c a a c
c 0 0 c 0 0
c 0 c c c c
c b 0 c b 0
c b c c a c
a a 0 a a 0
a a c a b c
a c 0 a c 0
a c c a 0 c
c a 0 c a 0
c a c c b c
c c 0 c c 0
c c c c 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 6x2 + 2x3 + 11x4 + 6x5 + 6x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_b)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)2 (X_b)4 + (X_a)1 (X_b)3 (X_c)2 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_a)2 (X_b)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)4 (X_a)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)2 (X_a)2 (X_b)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5 + (X_0)2 (X_b)2 (X_c)2 + (X_a)1 (X_b)1 (X_c)4 + (X_0)2 (X_a)4 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)2 (X_a)2 (X_c)2 + (X_a)1 (X_b)1 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c

Is it a nice code?: No

Generator Matrix-277

a 0 0 a 0 0
0 a 0 0 a 0
b 0 0 b 0 0
0 b 0 0 b 0
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b 0 0 b 0
0 b c c b 0
b 0 0 b 0 0
b 0 c a 0 0
b b 0 b b 0
b b c a b 0
0 a 0 0 a 0
0 a c c a 0
0 c 0 0 c 0
0 c c c c 0
b a 0 b a 0
b a c a a 0
b c 0 b c 0
b c c a c 0
a 0 0 a 0 0
a 0 c b 0 0
a b 0 a b 0
a b c b b 0
c 0 0 c 0 0
c 0 c 0 0 0
c b 0 c b 0
c b c 0 b 0
a a 0 a a 0
a a c b a 0
a c 0 a c 0
a c c b c 0
c a 0 c a 0
c a c 0 a 0
c c 0 c c 0
c c c 0 c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 8x2 + 2x3 + 15x4 + 6x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)4 (X_b)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_a)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c

Is it a nice code?: No

Generator Matrix-278

a 0 0 a 0 0
0 a 0 0 a 0
b 0 0 b 0 0
0 b 0 0 b 0
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b 0 0 b 0
0 b c c b c
b 0 0 b 0 0
b 0 c a 0 c
b b 0 b b 0
b b c a b c
0 a 0 0 a 0
0 a c c a c
0 c 0 0 c 0
0 c c c c c
b a 0 b a 0
b a c a a c
b c 0 b c 0
b c c a c c
a 0 0 a 0 0
a 0 c b 0 c
a b 0 a b 0
a b c b b c
c 0 0 c 0 0
c 0 c 0 0 c
c b 0 c b 0
c b c 0 b c
a a 0 a a 0
a a c b a c
a c 0 a c 0
a c c b c c
c a 0 c a 0
c a c 0 a c
c c 0 c c 0
c c c 0 c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 6x2 + 2x3 + 11x4 + 6x5 + 6x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)4 (X_b)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_b)4 + (X_a)1 (X_b)3 (X_c)2 + (X_0)4 (X_a)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5 + (X_0)2 (X_a)2 (X_b)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_b)2 (X_c)2 + (X_a)1 (X_b)1 (X_c)4 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_b)2 (X_c)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)4 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_c)2 + (X_a)1 (X_b)1 (X_c)4 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c

Is it a nice code?: No

Generator Matrix-279

a 0 0 a 0 0
0 a 0 0 a 0
b 0 0 b 0 0
0 b 0 0 b 0
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b 0 0 b 0
0 b c c a 0
b 0 0 b 0 0
b 0 c a c 0
b b 0 b b 0
b b c a a 0
0 a 0 0 a 0
0 a c c b 0
0 c 0 0 c 0
0 c c c 0 0
b a 0 b a 0
b a c a b 0
b c 0 b c 0
b c c a 0 0
a 0 0 a 0 0
a 0 c b c 0
a b 0 a b 0
a b c b a 0
c 0 0 c 0 0
c 0 c 0 c 0
c b 0 c b 0
c b c 0 a 0
a a 0 a a 0
a a c b b 0
a c 0 a c 0
a c c b 0 0
c a 0 c a 0
c a c 0 b 0
c c 0 c c 0
c c c 0 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 6x2 + 4x3 + 17x4 + 4x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c

Is it a nice code?: No

Generator Matrix-280

a 0 0 a 0 0
0 a 0 0 a 0
b 0 0 b 0 0
0 b 0 0 b 0
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b 0 0 b 0
0 b c c a c
b 0 0 b 0 0
b 0 c a c c
b b 0 b b 0
b b c a a c
0 a 0 0 a 0
0 a c c b c
0 c 0 0 c 0
0 c c c 0 c
b a 0 b a 0
b a c a b c
b c 0 b c 0
b c c a 0 c
a 0 0 a 0 0
a 0 c b c c
a b 0 a b 0
a b c b a c
c 0 0 c 0 0
c 0 c 0 c c
c b 0 c b 0
c b c 0 a c
a a 0 a a 0
a a c b b c
a c 0 a c 0
a c c b 0 c
c a 0 c a 0
c a c 0 b c
c c 0 c c 0
c c c 0 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 6x2 + 0x3 + 13x4 + 8x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)4 (X_b)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_b)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_b)4 + (X_a)2 (X_b)2 (X_c)2 + (X_0)4 (X_a)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_a)2 (X_b)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_a)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)2 (X_b)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)4 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c

Is it a nice code?: No

Generator Matrix-281

a 0 0 a 0 0
0 a 0 0 a a
b 0 0 b 0 0
0 b 0 0 b b
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b 0 0 b b
0 b c 0 b b
b 0 0 b 0 0
b 0 c b 0 0
b b 0 b b b
b b c b b b
0 a 0 0 a a
0 a c 0 a a
0 c 0 0 c c
0 c c 0 c c
b a 0 b a a
b a c b a a
b c 0 b c c
b c c b c c
a 0 0 a 0 0
a 0 c a 0 0
a b 0 a b b
a b c a b b
c 0 0 c 0 0
c 0 c c 0 0
c b 0 c b b
c b c c b b
a a 0 a a a
a a c a a a
a c 0 a c c
a c c a c c
c a 0 c a a
c a c c a a
c c 0 c c c
c c c c c c

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 3x2 + 6x3 + 3x4 + 9x5 + 9x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_b)3 (X_c)1 + (X_0)4 (X_b)2 + (X_0)3 (X_b)2 (X_c)1 + (X_0)1 (X_b)5 + (X_b)5 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)3 (X_c)1 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_a)3 (X_b)2 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_b)2 (X_c)3 + (X_b)2 (X_c)4 + (X_0)4 (X_a)2 + (X_0)3 (X_a)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_a)2 (X_b)3 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_b)3 (X_c)2 + (X_b)3 (X_c)3 + (X_0)1 (X_a)5 + (X_a)5 (X_c)1 + (X_0)1 (X_a)2 (X_c)3 + (X_a)2 (X_c)4 + (X_0)1 (X_a)3 (X_c)2 + (X_a)3 (X_c)3 + (X_0)1 (X_c)5 + (X_c)6

Dual Codewords:

0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0

Is it a nice code?: No

Generator Matrix-282

a 0 0 a 0 0
0 a 0 0 a a
b 0 0 b 0 0
0 b 0 0 b b
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b 0 0 b b
0 b c 0 b a
b 0 0 b 0 0
b 0 c b 0 c
b b 0 b b b
b b c b b a
0 a 0 0 a a
0 a c 0 a b
0 c 0 0 c c
0 c c 0 c 0
b a 0 b a a
b a c b a b
b c 0 b c c
b c c b c 0
a 0 0 a 0 0
a 0 c a 0 c
a b 0 a b b
a b c a b a
c 0 0 c 0 0
c 0 c c 0 c
c b 0 c b b
c b c c b a
a a 0 a a a
a a c a a b
a c 0 a c c
a c c a c 0
c a 0 c a a
c a c c a b
c c 0 c c c
c c c c c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 4x3 + 5x4 + 12x5 + 6x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)1 (X_b)5 + (X_a)1 (X_b)4 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)3 (X_b)2 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_b)2 (X_c)3 + (X_0)1 (X_b)2 (X_c)3 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)3 + (X_a)3 (X_b)2 (X_c)1 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_b)3 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)5 + (X_a)4 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_c)3 + (X_0)1 (X_a)2 (X_c)3 + (X_0)1 (X_a)3 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0

Is it a nice code?: No

Generator Matrix-283

a 0 0 a 0 0
0 a 0 0 a a
b 0 0 b 0 0
0 b 0 0 b b
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b 0 0 b b
0 b c 0 a b
b 0 0 b 0 0
b 0 c b c 0
b b 0 b b b
b b c b a b
0 a 0 0 a a
0 a c 0 b a
0 c 0 0 c c
0 c c 0 0 c
b a 0 b a a
b a c b b a
b c 0 b c c
b c c b 0 c
a 0 0 a 0 0
a 0 c a c 0
a b 0 a b b
a b c a a b
c 0 0 c 0 0
c 0 c c c 0
c b 0 c b b
c b c c a b
a a 0 a a a
a a c a b a
a c 0 a c c
a c c a 0 c
c a 0 c a a
c a c c b a
c c 0 c c c
c c c c 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 4x3 + 5x4 + 12x5 + 6x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)1 (X_b)5 + (X_a)1 (X_b)4 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)3 (X_b)2 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_b)2 (X_c)3 + (X_0)1 (X_b)2 (X_c)3 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)3 + (X_a)3 (X_b)2 (X_c)1 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_b)3 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)5 + (X_a)4 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_c)3 + (X_0)1 (X_a)2 (X_c)3 + (X_0)1 (X_a)3 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0

Is it a nice code?: No

Generator Matrix-284

a 0 0 a 0 0
0 a 0 0 a a
b 0 0 b 0 0
0 b 0 0 b b
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b 0 0 b b
0 b c 0 a a
b 0 0 b 0 0
b 0 c b c c
b b 0 b b b
b b c b a a
0 a 0 0 a a
0 a c 0 b b
0 c 0 0 c c
0 c c 0 0 0
b a 0 b a a
b a c b b b
b c 0 b c c
b c c b 0 0
a 0 0 a 0 0
a 0 c a c c
a b 0 a b b
a b c a a a
c 0 0 c 0 0
c 0 c c c c
c b 0 c b b
c b c c a a
a a 0 a a a
a a c a b b
a c 0 a c c
a c c a 0 0
c a 0 c a a
c a c c b b
c c 0 c c c
c c c c 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 4x3 + 5x4 + 12x5 + 6x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)4 (X_b)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)1 (X_b)5 + (X_a)2 (X_b)3 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_a)3 (X_b)2 + (X_a)1 (X_b)4 (X_c)1 + (X_0)1 (X_b)2 (X_c)3 + (X_0)2 (X_b)2 (X_c)2 + (X_0)4 (X_a)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)1 (X_a)2 (X_b)3 + (X_a)4 (X_b)1 (X_c)1 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5 + (X_0)1 (X_b)3 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)5 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_c)3 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)3 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0

Is it a nice code?: No

Generator Matrix-285

a 0 0 a 0 0
0 a 0 0 a a
b 0 0 b 0 0
0 b 0 0 b b
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b 0 0 b b
0 b c c b b
b 0 0 b 0 0
b 0 c a 0 0
b b 0 b b b
b b c a b b
0 a 0 0 a a
0 a c c a a
0 c 0 0 c c
0 c c c c c
b a 0 b a a
b a c a a a
b c 0 b c c
b c c a c c
a 0 0 a 0 0
a 0 c b 0 0
a b 0 a b b
a b c b b b
c 0 0 c 0 0
c 0 c 0 0 0
c b 0 c b b
c b c 0 b b
a a 0 a a a
a a c b a a
a c 0 a c c
a c c b c c
c a 0 c a a
c a c 0 a a
c c 0 c c c
c c c 0 c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 5x2 + 5x3 + 0x4 + 15x5 + 6x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)4 (X_b)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_b)5 + (X_a)1 (X_b)4 (X_c)1 + (X_0)3 (X_a)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)1 (X_a)3 (X_b)2 + (X_a)4 (X_b)1 (X_c)1 + (X_0)1 (X_b)2 (X_c)3 + (X_a)1 (X_b)1 (X_c)4 + (X_0)4 (X_a)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_a)1 (X_b)4 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)1 (X_b)3 (X_c)2 + (X_0)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)5 + (X_a)4 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_c)3 + (X_a)1 (X_b)1 (X_c)4 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0

Is it a nice code?: No

Generator Matrix-286

a 0 0 a 0 0
0 a 0 0 a a
b 0 0 b 0 0
0 b 0 0 b b
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b 0 0 b b
0 b c c b a
b 0 0 b 0 0
b 0 c a 0 c
b b 0 b b b
b b c a b a
0 a 0 0 a a
0 a c c a b
0 c 0 0 c c
0 c c c c 0
b a 0 b a a
b a c a a b
b c 0 b c c
b c c a c 0
a 0 0 a 0 0
a 0 c b 0 c
a b 0 a b b
a b c b b a
c 0 0 c 0 0
c 0 c 0 0 c
c b 0 c b b
c b c 0 b a
a a 0 a a a
a a c b a b
a c 0 a c c
a c c b c 0
c a 0 c a a
c a c 0 a b
c c 0 c c c
c c c 0 c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 5x3 + 4x4 + 15x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_b)5 + (X_a)2 (X_b)3 (X_c)1 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_a)3 (X_b)2 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)3 + (X_a)2 (X_b)3 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)5 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0

Is it a nice code?: No

Generator Matrix-287

a 0 0 a 0 0
0 a 0 0 a a
b 0 0 b 0 0
0 b 0 0 b b
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b 0 0 b b
0 b c c a b
b 0 0 b 0 0
b 0 c a c 0
b b 0 b b b
b b c a a b
0 a 0 0 a a
0 a c c b a
0 c 0 0 c c
0 c c c 0 c
b a 0 b a a
b a c a b a
b c 0 b c c
b c c a 0 c
a 0 0 a 0 0
a 0 c b c 0
a b 0 a b b
a b c b a b
c 0 0 c 0 0
c 0 c 0 c 0
c b 0 c b b
c b c 0 a b
a a 0 a a a
a a c b b a
a c 0 a c c
a c c b 0 c
c a 0 c a a
c a c 0 b a
c c 0 c c c
c c c 0 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 5x3 + 4x4 + 15x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_b)5 + (X_a)2 (X_b)3 (X_c)1 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_a)3 (X_b)2 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)3 + (X_a)2 (X_b)3 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)5 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0

Is it a nice code?: No

Generator Matrix-288

a 0 0 a 0 0
0 a 0 0 a a
b 0 0 b 0 0
0 b 0 0 b b
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b 0 0 b b
0 b c c a a
b 0 0 b 0 0
b 0 c a c c
b b 0 b b b
b b c a a a
0 a 0 0 a a
0 a c c b b
0 c 0 0 c c
0 c c c 0 0
b a 0 b a a
b a c a b b
b c 0 b c c
b c c a 0 0
a 0 0 a 0 0
a 0 c b c c
a b 0 a b b
a b c b a a
c 0 0 c 0 0
c 0 c 0 c c
c b 0 c b b
c b c 0 a a
a a 0 a a a
a a c b b b
a c 0 a c c
a c c b 0 0
c a 0 c a a
c a c 0 b b
c c 0 c c c
c c c 0 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 5x3 + 4x4 + 15x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)3 (X_b)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)4 (X_b)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_b)5 + (X_a)3 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)3 (X_b)2 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_a)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)2 (X_b)3 + (X_a)3 (X_b)2 (X_c)1 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)5 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0

Is it a nice code?: No

Generator Matrix-289

a 0 0 a 0 0
0 a 0 a 0 0
b 0 0 b 0 0
0 b 0 b 0 0
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b 0 b 0 0
0 b c b 0 0
b 0 0 b 0 0
b 0 c b 0 0
b b 0 0 0 0
b b c 0 0 0
0 a 0 a 0 0
0 a c a 0 0
0 c 0 c 0 0
0 c c c 0 0
b a 0 c 0 0
b a c c 0 0
b c 0 a 0 0
b c c a 0 0
a 0 0 a 0 0
a 0 c a 0 0
a b 0 c 0 0
a b c c 0 0
c 0 0 c 0 0
c 0 c c 0 0
c b 0 a 0 0
c b c a 0 0
a a 0 0 0 0
a a c 0 0 0
a c 0 b 0 0
a c c b 0 0
c a 0 b 0 0
c a c b 0 0
c c 0 0 0 0
c c c 0 0 0

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 9x2 + 15x3 + 6x4 + 0x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)4 (X_b)2 + (X_0)3 (X_b)2 (X_c)1 + (X_0)4 (X_b)2 + (X_0)3 (X_b)2 (X_c)1 + (X_0)4 (X_b)2 + (X_0)3 (X_b)2 (X_c)1 + (X_0)4 (X_a)2 + (X_0)3 (X_a)2 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_a)2 + (X_0)3 (X_a)2 (X_c)1 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_a)2 + (X_0)3 (X_a)2 (X_c)1 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 a 0 a 0
0 0 a 0 a a
0 0 a 0 a b
0 0 a 0 a c
0 0 a 0 b 0
0 0 a 0 b a
0 0 a 0 b b
0 0 a 0 b c
0 0 a 0 c 0
0 0 a 0 c a
0 0 a 0 c b
0 0 a 0 c c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 b 0 a 0
0 0 b 0 a a
0 0 b 0 a b
0 0 b 0 a c
0 0 b 0 b 0
0 0 b 0 b a
0 0 b 0 b b
0 0 b 0 b c
0 0 b 0 c 0
0 0 b 0 c a
0 0 b 0 c b
0 0 b 0 c c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c
0 0 c 0 a 0
0 0 c 0 a a
0 0 c 0 a b
0 0 c 0 a c
0 0 c 0 b 0
0 0 c 0 b a
0 0 c 0 b b
0 0 c 0 b c
0 0 c 0 c 0
0 0 c 0 c a
0 0 c 0 c b
0 0 c 0 c c

Is it a nice code?: No

Generator Matrix-290

a 0 0 a 0 0
0 a 0 a 0 0
b 0 0 b 0 0
0 b 0 b 0 0
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b 0 b 0 0
0 b c b 0 c
b 0 0 b 0 0
b 0 c b 0 c
b b 0 0 0 0
b b c 0 0 c
0 a 0 a 0 0
0 a c a 0 c
0 c 0 c 0 0
0 c c c 0 c
b a 0 c 0 0
b a c c 0 c
b c 0 a 0 0
b c c a 0 c
a 0 0 a 0 0
a 0 c a 0 c
a b 0 c 0 0
a b c c 0 c
c 0 0 c 0 0
c 0 c c 0 c
c b 0 a 0 0
c b c a 0 c
a a 0 0 0 0
a a c 0 0 c
a c 0 b 0 0
a c c b 0 c
c a 0 b 0 0
c a c b 0 c
c c 0 0 0 0
c c c 0 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 10x2 + 6x3 + 9x4 + 6x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 a 0 a 0
0 0 a 0 a a
0 0 a 0 a b
0 0 a 0 a c
0 0 a 0 b 0
0 0 a 0 b a
0 0 a 0 b b
0 0 a 0 b c
0 0 a 0 c 0
0 0 a 0 c a
0 0 a 0 c b
0 0 a 0 c c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 b 0 a 0
0 0 b 0 a a
0 0 b 0 a b
0 0 b 0 a c
0 0 b 0 b 0
0 0 b 0 b a
0 0 b 0 b b
0 0 b 0 b c
0 0 b 0 c 0
0 0 b 0 c a
0 0 b 0 c b
0 0 b 0 c c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c
0 0 c 0 a 0
0 0 c 0 a a
0 0 c 0 a b
0 0 c 0 a c
0 0 c 0 b 0
0 0 c 0 b a
0 0 c 0 b b
0 0 c 0 b c
0 0 c 0 c 0
0 0 c 0 c a
0 0 c 0 c b
0 0 c 0 c c

Is it a nice code?: No

Generator Matrix-291

a 0 0 a 0 0
0 a 0 a 0 0
b 0 0 b 0 0
0 b 0 b 0 0
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b 0 b 0 0
0 b c b c 0
b 0 0 b 0 0
b 0 c b c 0
b b 0 0 0 0
b b c 0 c 0
0 a 0 a 0 0
0 a c a c 0
0 c 0 c 0 0
0 c c c c 0
b a 0 c 0 0
b a c c c 0
b c 0 a 0 0
b c c a c 0
a 0 0 a 0 0
a 0 c a c 0
a b 0 c 0 0
a b c c c 0
c 0 0 c 0 0
c 0 c c c 0
c b 0 a 0 0
c b c a c 0
a a 0 0 0 0
a a c 0 c 0
a c 0 b 0 0
a c c b c 0
c a 0 b 0 0
c a c b c 0
c c 0 0 0 0
c c c 0 c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 10x2 + 6x3 + 9x4 + 6x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 a 0 a 0
0 0 a 0 a a
0 0 a 0 a b
0 0 a 0 a c
0 0 a 0 b 0
0 0 a 0 b a
0 0 a 0 b b
0 0 a 0 b c
0 0 a 0 c 0
0 0 a 0 c a
0 0 a 0 c b
0 0 a 0 c c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 b 0 a 0
0 0 b 0 a a
0 0 b 0 a b
0 0 b 0 a c
0 0 b 0 b 0
0 0 b 0 b a
0 0 b 0 b b
0 0 b 0 b c
0 0 b 0 c 0
0 0 b 0 c a
0 0 b 0 c b
0 0 b 0 c c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c
0 0 c 0 a 0
0 0 c 0 a a
0 0 c 0 a b
0 0 c 0 a c
0 0 c 0 b 0
0 0 c 0 b a
0 0 c 0 b b
0 0 c 0 b c
0 0 c 0 c 0
0 0 c 0 c a
0 0 c 0 c b
0 0 c 0 c c

Is it a nice code?: No

Generator Matrix-292

a 0 0 a 0 0
0 a 0 a 0 0
b 0 0 b 0 0
0 b 0 b 0 0
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b 0 b 0 0
0 b c b c c
b 0 0 b 0 0
b 0 c b c c
b b 0 0 0 0
b b c 0 c c
0 a 0 a 0 0
0 a c a c c
0 c 0 c 0 0
0 c c c c c
b a 0 c 0 0
b a c c c c
b c 0 a 0 0
b c c a c c
a 0 0 a 0 0
a 0 c a c c
a b 0 c 0 0
a b c c c c
c 0 0 c 0 0
c 0 c c c c
c b 0 a 0 0
c b c a c c
a a 0 0 0 0
a a c 0 c c
a c 0 b 0 0
a c c b c c
c a 0 b 0 0
c a c b c c
c c 0 0 0 0
c c c 0 c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 9x2 + 7x3 + 0x4 + 9x5 + 6x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)4 (X_b)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)4 (X_b)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)4 (X_b)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)4 (X_a)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_a)1 (X_b)1 (X_c)4 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_a)1 (X_b)1 (X_c)4 + (X_0)4 (X_a)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_a)1 (X_b)1 (X_c)4 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_a)1 (X_b)1 (X_c)4 + (X_0)4 (X_a)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_a)1 (X_b)1 (X_c)4 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_a)1 (X_b)1 (X_c)4 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 a 0 a 0
0 0 a 0 a a
0 0 a 0 a b
0 0 a 0 a c
0 0 a 0 b 0
0 0 a 0 b a
0 0 a 0 b b
0 0 a 0 b c
0 0 a 0 c 0
0 0 a 0 c a
0 0 a 0 c b
0 0 a 0 c c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 b 0 a 0
0 0 b 0 a a
0 0 b 0 a b
0 0 b 0 a c
0 0 b 0 b 0
0 0 b 0 b a
0 0 b 0 b b
0 0 b 0 b c
0 0 b 0 c 0
0 0 b 0 c a
0 0 b 0 c b
0 0 b 0 c c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c
0 0 c 0 a 0
0 0 c 0 a a
0 0 c 0 a b
0 0 c 0 a c
0 0 c 0 b 0
0 0 c 0 b a
0 0 c 0 b b
0 0 c 0 b c
0 0 c 0 c 0
0 0 c 0 c a
0 0 c 0 c b
0 0 c 0 c c

Is it a nice code?: No

Generator Matrix-293

a 0 0 a 0 0
0 a 0 a 0 0
b 0 0 b 0 0
0 b 0 b 0 0
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b 0 b 0 0
0 b c a 0 0
b 0 0 b 0 0
b 0 c a 0 0
b b 0 0 0 0
b b c c 0 0
0 a 0 a 0 0
0 a c b 0 0
0 c 0 c 0 0
0 c c 0 0 0
b a 0 c 0 0
b a c 0 0 0
b c 0 a 0 0
b c c b 0 0
a 0 0 a 0 0
a 0 c b 0 0
a b 0 c 0 0
a b c 0 0 0
c 0 0 c 0 0
c 0 c 0 0 0
c b 0 a 0 0
c b c b 0 0
a a 0 0 0 0
a a c c 0 0
a c 0 b 0 0
a c c a 0 0
c a 0 b 0 0
c a c a 0 0
c c 0 0 0 0
c c c c 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 12x2 + 12x3 + 7x4 + 0x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_b)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)4 (X_b)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)4 (X_a)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_b)2 (X_c)2 + (X_0)4 (X_a)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_b)2 (X_c)2 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_c)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 a 0 a 0
0 0 a 0 a a
0 0 a 0 a b
0 0 a 0 a c
0 0 a 0 b 0
0 0 a 0 b a
0 0 a 0 b b
0 0 a 0 b c
0 0 a 0 c 0
0 0 a 0 c a
0 0 a 0 c b
0 0 a 0 c c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 b 0 a 0
0 0 b 0 a a
0 0 b 0 a b
0 0 b 0 a c
0 0 b 0 b 0
0 0 b 0 b a
0 0 b 0 b b
0 0 b 0 b c
0 0 b 0 c 0
0 0 b 0 c a
0 0 b 0 c b
0 0 b 0 c c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c
0 0 c 0 a 0
0 0 c 0 a a
0 0 c 0 a b
0 0 c 0 a c
0 0 c 0 b 0
0 0 c 0 b a
0 0 c 0 b b
0 0 c 0 b c
0 0 c 0 c 0
0 0 c 0 c a
0 0 c 0 c b
0 0 c 0 c c

Is it a nice code?: No

Generator Matrix-294

a 0 0 a 0 0
0 a 0 a 0 0
b 0 0 b 0 0
0 b 0 b 0 0
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b 0 b 0 0
0 b c a 0 c
b 0 0 b 0 0
b 0 c a 0 c
b b 0 0 0 0
b b c c 0 c
0 a 0 a 0 0
0 a c b 0 c
0 c 0 c 0 0
0 c c 0 0 c
b a 0 c 0 0
b a c 0 0 c
b c 0 a 0 0
b c c b 0 c
a 0 0 a 0 0
a 0 c b 0 c
a b 0 c 0 0
a b c 0 0 c
c 0 0 c 0 0
c 0 c 0 0 c
c b 0 a 0 0
c b c b 0 c
a a 0 0 0 0
a a c c 0 c
a c 0 b 0 0
a c c a 0 c
c a 0 b 0 0
c a c a 0 c
c c 0 0 0 0
c c c c 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 9x2 + 9x3 + 6x4 + 7x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_b)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_b)2 (X_c)3 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_b)2 (X_c)3 + (X_0)4 (X_a)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_c)3 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 a 0 a 0
0 0 a 0 a a
0 0 a 0 a b
0 0 a 0 a c
0 0 a 0 b 0
0 0 a 0 b a
0 0 a 0 b b
0 0 a 0 b c
0 0 a 0 c 0
0 0 a 0 c a
0 0 a 0 c b
0 0 a 0 c c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 b 0 a 0
0 0 b 0 a a
0 0 b 0 a b
0 0 b 0 a c
0 0 b 0 b 0
0 0 b 0 b a
0 0 b 0 b b
0 0 b 0 b c
0 0 b 0 c 0
0 0 b 0 c a
0 0 b 0 c b
0 0 b 0 c c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c
0 0 c 0 a 0
0 0 c 0 a a
0 0 c 0 a b
0 0 c 0 a c
0 0 c 0 b 0
0 0 c 0 b a
0 0 c 0 b b
0 0 c 0 b c
0 0 c 0 c 0
0 0 c 0 c a
0 0 c 0 c b
0 0 c 0 c c

Is it a nice code?: No

Generator Matrix-295

a 0 0 a 0 0
0 a 0 a 0 0
b 0 0 b 0 0
0 b 0 b 0 0
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b 0 b 0 0
0 b c a c 0
b 0 0 b 0 0
b 0 c a c 0
b b 0 0 0 0
b b c c c 0
0 a 0 a 0 0
0 a c b c 0
0 c 0 c 0 0
0 c c 0 c 0
b a 0 c 0 0
b a c 0 c 0
b c 0 a 0 0
b c c b c 0
a 0 0 a 0 0
a 0 c b c 0
a b 0 c 0 0
a b c 0 c 0
c 0 0 c 0 0
c 0 c 0 c 0
c b 0 a 0 0
c b c b c 0
a a 0 0 0 0
a a c c c 0
a c 0 b 0 0
a c c a c 0
c a 0 b 0 0
c a c a c 0
c c 0 0 0 0
c c c c c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 9x2 + 9x3 + 6x4 + 7x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_b)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_b)2 (X_c)3 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_b)2 (X_c)3 + (X_0)4 (X_a)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_c)3 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 a 0 a 0
0 0 a 0 a a
0 0 a 0 a b
0 0 a 0 a c
0 0 a 0 b 0
0 0 a 0 b a
0 0 a 0 b b
0 0 a 0 b c
0 0 a 0 c 0
0 0 a 0 c a
0 0 a 0 c b
0 0 a 0 c c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 b 0 a 0
0 0 b 0 a a
0 0 b 0 a b
0 0 b 0 a c
0 0 b 0 b 0
0 0 b 0 b a
0 0 b 0 b b
0 0 b 0 b c
0 0 b 0 c 0
0 0 b 0 c a
0 0 b 0 c b
0 0 b 0 c c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c
0 0 c 0 a 0
0 0 c 0 a a
0 0 c 0 a b
0 0 c 0 a c
0 0 c 0 b 0
0 0 c 0 b a
0 0 c 0 b b
0 0 c 0 b c
0 0 c 0 c 0
0 0 c 0 c a
0 0 c 0 c b
0 0 c 0 c c

Is it a nice code?: No

Generator Matrix-296

a 0 0 a 0 0
0 a 0 a 0 0
b 0 0 b 0 0
0 b 0 b 0 0
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b 0 b 0 0
0 b c a c c
b 0 0 b 0 0
b 0 c a c c
b b 0 0 0 0
b b c c c c
0 a 0 a 0 0
0 a c b c c
0 c 0 c 0 0
0 c c 0 c c
b a 0 c 0 0
b a c 0 c c
b c 0 a 0 0
b c c b c c
a 0 0 a 0 0
a 0 c b c c
a b 0 c 0 0
a b c 0 c c
c 0 0 c 0 0
c 0 c 0 c c
c b 0 a 0 0
c b c b c c
a a 0 0 0 0
a a c c c c
a c 0 b 0 0
a c c a c c
c a 0 b 0 0
c a c a c c
c c 0 0 0 0
c c c c c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 9x2 + 6x3 + 3x4 + 6x5 + 7x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)4 (X_b)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_b)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_b)2 + (X_b)2 (X_c)4 + (X_0)4 (X_a)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_b)2 (X_c)4 + (X_0)4 (X_a)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_b)2 (X_c)4 + (X_0)4 (X_a)2 + (X_a)2 (X_c)4 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_a)2 (X_c)4 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_a)2 (X_c)4 + (X_0)4 (X_c)2 + (X_c)6

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 a 0 a 0
0 0 a 0 a a
0 0 a 0 a b
0 0 a 0 a c
0 0 a 0 b 0
0 0 a 0 b a
0 0 a 0 b b
0 0 a 0 b c
0 0 a 0 c 0
0 0 a 0 c a
0 0 a 0 c b
0 0 a 0 c c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 b 0 a 0
0 0 b 0 a a
0 0 b 0 a b
0 0 b 0 a c
0 0 b 0 b 0
0 0 b 0 b a
0 0 b 0 b b
0 0 b 0 b c
0 0 b 0 c 0
0 0 b 0 c a
0 0 b 0 c b
0 0 b 0 c c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c
0 0 c 0 a 0
0 0 c 0 a a
0 0 c 0 a b
0 0 c 0 a c
0 0 c 0 b 0
0 0 c 0 b a
0 0 c 0 b b
0 0 c 0 b c
0 0 c 0 c 0
0 0 c 0 c a
0 0 c 0 c b
0 0 c 0 c c

Is it a nice code?: No

Generator Matrix-297

a 0 0 a 0 0
0 a 0 a 0 a
b 0 0 b 0 0
0 b 0 b 0 b
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b 0 b 0 b
0 b c b 0 b
b 0 0 b 0 0
b 0 c b 0 0
b b 0 0 0 b
b b c 0 0 b
0 a 0 a 0 a
0 a c a 0 a
0 c 0 c 0 c
0 c c c 0 c
b a 0 c 0 a
b a c c 0 a
b c 0 a 0 c
b c c a 0 c
a 0 0 a 0 0
a 0 c a 0 0
a b 0 c 0 b
a b c c 0 b
c 0 0 c 0 0
c 0 c c 0 0
c b 0 a 0 b
c b c a 0 b
a a 0 0 0 a
a a c 0 0 a
a c 0 b 0 c
a c c b 0 c
c a 0 b 0 a
c a c b 0 a
c c 0 0 0 c
c c c 0 0 c

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 3x2 + 9x3 + 12x4 + 6x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_b)3 (X_c)1 + (X_0)4 (X_b)2 + (X_0)3 (X_b)2 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_b)3 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)3 (X_c)1 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_a)2 + (X_0)3 (X_a)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)3 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 a 0 0 0
0 0 a 0 a 0
0 0 a 0 b 0
0 0 a 0 c 0
0 0 b 0 0 0
0 0 b 0 a 0
0 0 b 0 b 0
0 0 b 0 c 0
0 0 c 0 0 0
0 0 c 0 a 0
0 0 c 0 b 0
0 0 c 0 c 0

Is it a nice code?: No

Generator Matrix-298

a 0 0 a 0 0
0 a 0 a 0 a
b 0 0 b 0 0
0 b 0 b 0 b
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b 0 b 0 b
0 b c b 0 a
b 0 0 b 0 0
b 0 c b 0 c
b b 0 0 0 b
b b c 0 0 a
0 a 0 a 0 a
0 a c a 0 b
0 c 0 c 0 c
0 c c c 0 0
b a 0 c 0 a
b a c c 0 b
b c 0 a 0 c
b c c a 0 0
a 0 0 a 0 0
a 0 c a 0 c
a b 0 c 0 b
a b c c 0 a
c 0 0 c 0 0
c 0 c c 0 c
c b 0 a 0 b
c b c a 0 a
a a 0 0 0 a
a a c 0 0 b
a c 0 b 0 c
a c c b 0 0
c a 0 b 0 a
c a c b 0 b
c c 0 0 0 c
c c c 0 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 8x3 + 15x4 + 4x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 a 0 0 0
0 0 a 0 a 0
0 0 a 0 b 0
0 0 a 0 c 0
0 0 b 0 0 0
0 0 b 0 a 0
0 0 b 0 b 0
0 0 b 0 c 0
0 0 c 0 0 0
0 0 c 0 a 0
0 0 c 0 b 0
0 0 c 0 c 0

Is it a nice code?: No

Generator Matrix-299

a 0 0 a 0 0
0 a 0 a 0 a
b 0 0 b 0 0
0 b 0 b 0 b
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b 0 b 0 b
0 b c b c b
b 0 0 b 0 0
b 0 c b c 0
b b 0 0 0 b
b b c 0 c b
0 a 0 a 0 a
0 a c a c a
0 c 0 c 0 c
0 c c c c c
b a 0 c 0 a
b a c c c a
b c 0 a 0 c
b c c a c c
a 0 0 a 0 0
a 0 c a c 0
a b 0 c 0 b
a b c c c b
c 0 0 c 0 0
c 0 c c c 0
c b 0 a 0 b
c b c a c b
a a 0 0 0 a
a a c 0 c a
a c 0 b 0 c
a c c b c c
c a 0 b 0 a
c a c b c a
c c 0 0 0 c
c c c 0 c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 6x3 + 9x4 + 6x5 + 6x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)3 (X_b)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_a)1 (X_b)1 (X_c)4 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_a)1 (X_b)1 (X_c)4 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 a 0 0 0
0 0 a 0 a 0
0 0 a 0 b 0
0 0 a 0 c 0
0 0 b 0 0 0
0 0 b 0 a 0
0 0 b 0 b 0
0 0 b 0 c 0
0 0 c 0 0 0
0 0 c 0 a 0
0 0 c 0 b 0
0 0 c 0 c 0

Is it a nice code?: No

Generator Matrix-300

a 0 0 a 0 0
0 a 0 a 0 a
b 0 0 b 0 0
0 b 0 b 0 b
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b 0 b 0 b
0 b c b c a
b 0 0 b 0 0
b 0 c b c c
b b 0 0 0 b
b b c 0 c a
0 a 0 a 0 a
0 a c a c b
0 c 0 c 0 c
0 c c c c 0
b a 0 c 0 a
b a c c c b
b c 0 a 0 c
b c c a c 0
a 0 0 a 0 0
a 0 c a c c
a b 0 c 0 b
a b c c c a
c 0 0 c 0 0
c 0 c c c c
c b 0 a 0 b
c b c a c a
a a 0 0 0 a
a a c 0 c b
a c 0 b 0 c
a c c b c 0
c a 0 b 0 a
c a c b c b
c c 0 0 0 c
c c c 0 c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 7x3 + 8x4 + 9x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)4 (X_b)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_a)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 a 0 0 0
0 0 a 0 a 0
0 0 a 0 b 0
0 0 a 0 c 0
0 0 b 0 0 0
0 0 b 0 a 0
0 0 b 0 b 0
0 0 b 0 c 0
0 0 c 0 0 0
0 0 c 0 a 0
0 0 c 0 b 0
0 0 c 0 c 0

Is it a nice code?: No

Generator Matrix-301

a 0 0 a 0 0
0 a 0 a 0 a
b 0 0 b 0 0
0 b 0 b 0 b
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b 0 b 0 b
0 b c a 0 b
b 0 0 b 0 0
b 0 c a 0 0
b b 0 0 0 b
b b c c 0 b
0 a 0 a 0 a
0 a c b 0 a
0 c 0 c 0 c
0 c c 0 0 c
b a 0 c 0 a
b a c 0 0 a
b c 0 a 0 c
b c c b 0 c
a 0 0 a 0 0
a 0 c b 0 0
a b 0 c 0 b
a b c 0 0 b
c 0 0 c 0 0
c 0 c 0 0 0
c b 0 a 0 b
c b c b 0 b
a a 0 0 0 a
a a c c 0 a
a c 0 b 0 c
a c c a 0 c
c a 0 b 0 a
c a c a 0 a
c c 0 0 0 c
c c c c 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 5x2 + 9x3 + 10x4 + 7x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)4 (X_b)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)3 (X_b)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)4 (X_a)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 a 0 0 0
0 0 a 0 a 0
0 0 a 0 b 0
0 0 a 0 c 0
0 0 b 0 0 0
0 0 b 0 a 0
0 0 b 0 b 0
0 0 b 0 c 0
0 0 c 0 0 0
0 0 c 0 a 0
0 0 c 0 b 0
0 0 c 0 c 0

Is it a nice code?: No

Generator Matrix-302

a 0 0 a 0 0
0 a 0 a 0 a
b 0 0 b 0 0
0 b 0 b 0 b
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b 0 b 0 b
0 b c a 0 a
b 0 0 b 0 0
b 0 c a 0 c
b b 0 0 0 b
b b c c 0 a
0 a 0 a 0 a
0 a c b 0 b
0 c 0 c 0 c
0 c c 0 0 0
b a 0 c 0 a
b a c 0 0 b
b c 0 a 0 c
b c c b 0 0
a 0 0 a 0 0
a 0 c b 0 c
a b 0 c 0 b
a b c 0 0 a
c 0 0 c 0 0
c 0 c 0 0 c
c b 0 a 0 b
c b c b 0 a
a a 0 0 0 a
a a c c 0 b
a c 0 b 0 c
a c c a 0 0
c a 0 b 0 a
c a c a 0 b
c c 0 0 0 c
c c c c 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 8x3 + 15x4 + 4x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 a 0 0 0
0 0 a 0 a 0
0 0 a 0 b 0
0 0 a 0 c 0
0 0 b 0 0 0
0 0 b 0 a 0
0 0 b 0 b 0
0 0 b 0 c 0
0 0 c 0 0 0
0 0 c 0 a 0
0 0 c 0 b 0
0 0 c 0 c 0

Is it a nice code?: No

Generator Matrix-303

a 0 0 a 0 0
0 a 0 a 0 a
b 0 0 b 0 0
0 b 0 b 0 b
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b 0 b 0 b
0 b c a c b
b 0 0 b 0 0
b 0 c a c 0
b b 0 0 0 b
b b c c c b
0 a 0 a 0 a
0 a c b c a
0 c 0 c 0 c
0 c c 0 c c
b a 0 c 0 a
b a c 0 c a
b c 0 a 0 c
b c c b c c
a 0 0 a 0 0
a 0 c b c 0
a b 0 c 0 b
a b c 0 c b
c 0 0 c 0 0
c 0 c 0 c 0
c b 0 a 0 b
c b c b c b
a a 0 0 0 a
a a c c c a
a c 0 b 0 c
a c c a c c
c a 0 b 0 a
c a c a c a
c c 0 0 0 c
c c c c c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 8x3 + 9x4 + 4x5 + 7x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_b)3 + (X_b)3 (X_c)3 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_b)2 (X_c)4 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_b)3 (X_c)3 + (X_0)3 (X_a)3 + (X_a)3 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_a)2 (X_c)4 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)3 (X_c)3 + (X_0)3 (X_c)3 + (X_c)6

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 a 0 0 0
0 0 a 0 a 0
0 0 a 0 b 0
0 0 a 0 c 0
0 0 b 0 0 0
0 0 b 0 a 0
0 0 b 0 b 0
0 0 b 0 c 0
0 0 c 0 0 0
0 0 c 0 a 0
0 0 c 0 b 0
0 0 c 0 c 0

Is it a nice code?: No

Generator Matrix-304

a 0 0 a 0 0
0 a 0 a 0 a
b 0 0 b 0 0
0 b 0 b 0 b
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b 0 b 0 b
0 b c a c a
b 0 0 b 0 0
b 0 c a c c
b b 0 0 0 b
b b c c c a
0 a 0 a 0 a
0 a c b c b
0 c 0 c 0 c
0 c c 0 c 0
b a 0 c 0 a
b a c 0 c b
b c 0 a 0 c
b c c b c 0
a 0 0 a 0 0
a 0 c b c c
a b 0 c 0 b
a b c 0 c a
c 0 0 c 0 0
c 0 c 0 c c
c b 0 a 0 b
c b c b c a
a a 0 0 0 a
a a c c c b
a c 0 b 0 c
a c c a c 0
c a 0 b 0 a
c a c a c b
c c 0 0 0 c
c c c c c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 7x3 + 8x4 + 9x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)3 (X_b)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)4 (X_b)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_b)3 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)4 (X_a)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)3 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 a 0 0 0
0 0 a 0 a 0
0 0 a 0 b 0
0 0 a 0 c 0
0 0 b 0 0 0
0 0 b 0 a 0
0 0 b 0 b 0
0 0 b 0 c 0
0 0 c 0 0 0
0 0 c 0 a 0
0 0 c 0 b 0
0 0 c 0 c 0

Is it a nice code?: No

Generator Matrix-305

a 0 0 a 0 0
0 a 0 a a 0
b 0 0 b 0 0
0 b 0 b b 0
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b 0 b b 0
0 b c b b 0
b 0 0 b 0 0
b 0 c b 0 0
b b 0 0 b 0
b b c 0 b 0
0 a 0 a a 0
0 a c a a 0
0 c 0 c c 0
0 c c c c 0
b a 0 c a 0
b a c c a 0
b c 0 a c 0
b c c a c 0
a 0 0 a 0 0
a 0 c a 0 0
a b 0 c b 0
a b c c b 0
c 0 0 c 0 0
c 0 c c 0 0
c b 0 a b 0
c b c a b 0
a a 0 0 a 0
a a c 0 a 0
a c 0 b c 0
a c c b c 0
c a 0 b a 0
c a c b a 0
c c 0 0 c 0
c c c 0 c 0

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 3x2 + 9x3 + 12x4 + 6x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_b)3 (X_c)1 + (X_0)4 (X_b)2 + (X_0)3 (X_b)2 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_b)3 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)3 (X_c)1 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_a)2 + (X_0)3 (X_a)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)3 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c

Is it a nice code?: No

Generator Matrix-306

a 0 0 a 0 0
0 a 0 a a 0
b 0 0 b 0 0
0 b 0 b b 0
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b 0 b b 0
0 b c b b c
b 0 0 b 0 0
b 0 c b 0 c
b b 0 0 b 0
b b c 0 b c
0 a 0 a a 0
0 a c a a c
0 c 0 c c 0
0 c c c c c
b a 0 c a 0
b a c c a c
b c 0 a c 0
b c c a c c
a 0 0 a 0 0
a 0 c a 0 c
a b 0 c b 0
a b c c b c
c 0 0 c 0 0
c 0 c c 0 c
c b 0 a b 0
c b c a b c
a a 0 0 a 0
a a c 0 a c
a c 0 b c 0
a c c b c c
c a 0 b a 0
c a c b a c
c c 0 0 c 0
c c c 0 c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 6x3 + 9x4 + 6x5 + 6x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)3 (X_b)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_a)1 (X_b)1 (X_c)4 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_a)1 (X_b)1 (X_c)4 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c

Is it a nice code?: No

Generator Matrix-307

a 0 0 a 0 0
0 a 0 a a 0
b 0 0 b 0 0
0 b 0 b b 0
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b 0 b b 0
0 b c b a 0
b 0 0 b 0 0
b 0 c b c 0
b b 0 0 b 0
b b c 0 a 0
0 a 0 a a 0
0 a c a b 0
0 c 0 c c 0
0 c c c 0 0
b a 0 c a 0
b a c c b 0
b c 0 a c 0
b c c a 0 0
a 0 0 a 0 0
a 0 c a c 0
a b 0 c b 0
a b c c a 0
c 0 0 c 0 0
c 0 c c c 0
c b 0 a b 0
c b c a a 0
a a 0 0 a 0
a a c 0 b 0
a c 0 b c 0
a c c b 0 0
c a 0 b a 0
c a c b b 0
c c 0 0 c 0
c c c 0 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 8x3 + 15x4 + 4x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c

Is it a nice code?: No

Generator Matrix-308

a 0 0 a 0 0
0 a 0 a a 0
b 0 0 b 0 0
0 b 0 b b 0
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b 0 b b 0
0 b c b a c
b 0 0 b 0 0
b 0 c b c c
b b 0 0 b 0
b b c 0 a c
0 a 0 a a 0
0 a c a b c
0 c 0 c c 0
0 c c c 0 c
b a 0 c a 0
b a c c b c
b c 0 a c 0
b c c a 0 c
a 0 0 a 0 0
a 0 c a c c
a b 0 c b 0
a b c c a c
c 0 0 c 0 0
c 0 c c c c
c b 0 a b 0
c b c a a c
a a 0 0 a 0
a a c 0 b c
a c 0 b c 0
a c c b 0 c
c a 0 b a 0
c a c b b c
c c 0 0 c 0
c c c 0 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 7x3 + 8x4 + 9x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)4 (X_b)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_a)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c

Is it a nice code?: No

Generator Matrix-309

a 0 0 a 0 0
0 a 0 a a 0
b 0 0 b 0 0
0 b 0 b b 0
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b 0 b b 0
0 b c a b 0
b 0 0 b 0 0
b 0 c a 0 0
b b 0 0 b 0
b b c c b 0
0 a 0 a a 0
0 a c b a 0
0 c 0 c c 0
0 c c 0 c 0
b a 0 c a 0
b a c 0 a 0
b c 0 a c 0
b c c b c 0
a 0 0 a 0 0
a 0 c b 0 0
a b 0 c b 0
a b c 0 b 0
c 0 0 c 0 0
c 0 c 0 0 0
c b 0 a b 0
c b c b b 0
a a 0 0 a 0
a a c c a 0
a c 0 b c 0
a c c a c 0
c a 0 b a 0
c a c a a 0
c c 0 0 c 0
c c c c c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 5x2 + 9x3 + 10x4 + 7x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)4 (X_b)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)3 (X_b)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)4 (X_a)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c

Is it a nice code?: No

Generator Matrix-310

a 0 0 a 0 0
0 a 0 a a 0
b 0 0 b 0 0
0 b 0 b b 0
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b 0 b b 0
0 b c a b c
b 0 0 b 0 0
b 0 c a 0 c
b b 0 0 b 0
b b c c b c
0 a 0 a a 0
0 a c b a c
0 c 0 c c 0
0 c c 0 c c
b a 0 c a 0
b a c 0 a c
b c 0 a c 0
b c c b c c
a 0 0 a 0 0
a 0 c b 0 c
a b 0 c b 0
a b c 0 b c
c 0 0 c 0 0
c 0 c 0 0 c
c b 0 a b 0
c b c b b c
a a 0 0 a 0
a a c c a c
a c 0 b c 0
a c c a c c
c a 0 b a 0
c a c a a c
c c 0 0 c 0
c c c c c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 8x3 + 9x4 + 4x5 + 7x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_b)3 + (X_b)3 (X_c)3 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_b)2 (X_c)4 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_b)3 (X_c)3 + (X_0)3 (X_a)3 + (X_a)3 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_a)2 (X_c)4 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)3 (X_c)3 + (X_0)3 (X_c)3 + (X_c)6

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c

Is it a nice code?: No

Generator Matrix-311

a 0 0 a 0 0
0 a 0 a a 0
b 0 0 b 0 0
0 b 0 b b 0
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b 0 b b 0
0 b c a a 0
b 0 0 b 0 0
b 0 c a c 0
b b 0 0 b 0
b b c c a 0
0 a 0 a a 0
0 a c b b 0
0 c 0 c c 0
0 c c 0 0 0
b a 0 c a 0
b a c 0 b 0
b c 0 a c 0
b c c b 0 0
a 0 0 a 0 0
a 0 c b c 0
a b 0 c b 0
a b c 0 a 0
c 0 0 c 0 0
c 0 c 0 c 0
c b 0 a b 0
c b c b a 0
a a 0 0 a 0
a a c c b 0
a c 0 b c 0
a c c a 0 0
c a 0 b a 0
c a c a b 0
c c 0 0 c 0
c c c c 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 8x3 + 15x4 + 4x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c

Is it a nice code?: No

Generator Matrix-312

a 0 0 a 0 0
0 a 0 a a 0
b 0 0 b 0 0
0 b 0 b b 0
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b 0 b b 0
0 b c a a c
b 0 0 b 0 0
b 0 c a c c
b b 0 0 b 0
b b c c a c
0 a 0 a a 0
0 a c b b c
0 c 0 c c 0
0 c c 0 0 c
b a 0 c a 0
b a c 0 b c
b c 0 a c 0
b c c b 0 c
a 0 0 a 0 0
a 0 c b c c
a b 0 c b 0
a b c 0 a c
c 0 0 c 0 0
c 0 c 0 c c
c b 0 a b 0
c b c b a c
a a 0 0 a 0
a a c c b c
a c 0 b c 0
a c c a 0 c
c a 0 b a 0
c a c a b c
c c 0 0 c 0
c c c c 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 7x3 + 8x4 + 9x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)3 (X_b)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)4 (X_b)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_b)3 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)4 (X_a)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)3 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c

Is it a nice code?: No

Generator Matrix-313

a 0 0 a 0 0
0 a 0 a a a
b 0 0 b 0 0
0 b 0 b b b
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b 0 b b b
0 b c b b b
b 0 0 b 0 0
b 0 c b 0 0
b b 0 0 b b
b b c 0 b b
0 a 0 a a a
0 a c a a a
0 c 0 c c c
0 c c c c c
b a 0 c a a
b a c c a a
b c 0 a c c
b c c a c c
a 0 0 a 0 0
a 0 c a 0 0
a b 0 c b b
a b c c b b
c 0 0 c 0 0
c 0 c c 0 0
c b 0 a b b
c b c a b b
a a 0 0 a a
a a c 0 a a
a c 0 b c c
a c c b c c
c a 0 b a a
c a c b a a
c c 0 0 c c
c c c 0 c c

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 3x2 + 3x3 + 6x4 + 12x5 + 6x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_b)4 (X_c)1 + (X_0)4 (X_b)2 + (X_0)3 (X_b)2 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_b)4 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)4 (X_c)1 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_a)1 (X_b)1 (X_c)4 + (X_0)4 (X_a)2 + (X_0)3 (X_a)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)4 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_a)1 (X_b)1 (X_c)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0

Is it a nice code?: No

Generator Matrix-314

a 0 0 a 0 0
0 a 0 a a a
b 0 0 b 0 0
0 b 0 b b b
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b 0 b b b
0 b c b b a
b 0 0 b 0 0
b 0 c b 0 c
b b 0 0 b b
b b c 0 b a
0 a 0 a a a
0 a c a a b
0 c 0 c c c
0 c c c c 0
b a 0 c a a
b a c c a b
b c 0 a c c
b c c a c 0
a 0 0 a 0 0
a 0 c a 0 c
a b 0 c b b
a b c c b a
c 0 0 c 0 0
c 0 c c 0 c
c b 0 a b b
c b c a b a
a a 0 0 a a
a a c 0 a b
a c 0 b c c
a c c b c 0
c a 0 b a a
c a c b a b
c c 0 0 c c
c c c 0 c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 0x3 + 11x4 + 12x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0

Is it a nice code?: No

Generator Matrix-315

a 0 0 a 0 0
0 a 0 a a a
b 0 0 b 0 0
0 b 0 b b b
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b 0 b b b
0 b c b a b
b 0 0 b 0 0
b 0 c b c 0
b b 0 0 b b
b b c 0 a b
0 a 0 a a a
0 a c a b a
0 c 0 c c c
0 c c c 0 c
b a 0 c a a
b a c c b a
b c 0 a c c
b c c a 0 c
a 0 0 a 0 0
a 0 c a c 0
a b 0 c b b
a b c c a b
c 0 0 c 0 0
c 0 c c c 0
c b 0 a b b
c b c a a b
a a 0 0 a a
a a c 0 b a
a c 0 b c c
a c c b 0 c
c a 0 b a a
c a c b b a
c c 0 0 c c
c c c 0 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 0x3 + 11x4 + 12x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0

Is it a nice code?: No

Generator Matrix-316

a 0 0 a 0 0
0 a 0 a a a
b 0 0 b 0 0
0 b 0 b b b
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b 0 b b b
0 b c b a a
b 0 0 b 0 0
b 0 c b c c
b b 0 0 b b
b b c 0 a a
0 a 0 a a a
0 a c a b b
0 c 0 c c c
0 c c c 0 0
b a 0 c a a
b a c c b b
b c 0 a c c
b c c a 0 0
a 0 0 a 0 0
a 0 c a c c
a b 0 c b b
a b c c a a
c 0 0 c 0 0
c 0 c c c c
c b 0 a b b
c b c a a a
a a 0 0 a a
a a c 0 b b
a c 0 b c c
a c c b 0 0
c a 0 b a a
c a c b b b
c c 0 0 c c
c c c 0 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 3x3 + 8x4 + 13x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)4 (X_b)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_a)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0

Is it a nice code?: No

Generator Matrix-317

a 0 0 a 0 0
0 a 0 a a a
b 0 0 b 0 0
0 b 0 b b b
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b 0 b b b
0 b c a b b
b 0 0 b 0 0
b 0 c a 0 0
b b 0 0 b b
b b c c b b
0 a 0 a a a
0 a c b a a
0 c 0 c c c
0 c c 0 c c
b a 0 c a a
b a c 0 a a
b c 0 a c c
b c c b c c
a 0 0 a 0 0
a 0 c b 0 0
a b 0 c b b
a b c 0 b b
c 0 0 c 0 0
c 0 c 0 0 0
c b 0 a b b
c b c b b b
a a 0 0 a a
a a c c a a
a c 0 b c c
a c c a c c
c a 0 b a a
c a c a a a
c c 0 0 c c
c c c c c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 5x2 + 2x3 + 7x4 + 10x5 + 7x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)4 (X_b)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_b)4 + (X_b)4 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_b)2 (X_c)4 + (X_0)4 (X_a)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_b)4 (X_c)2 + (X_0)2 (X_a)4 + (X_a)4 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_a)2 (X_c)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)4 (X_c)2 + (X_0)2 (X_c)4 + (X_c)6

Dual Codewords:

0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0

Is it a nice code?: No

Generator Matrix-318

a 0 0 a 0 0
0 a 0 a a a
b 0 0 b 0 0
0 b 0 b b b
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b 0 b b b
0 b c a b a
b 0 0 b 0 0
b 0 c a 0 c
b b 0 0 b b
b b c c b a
0 a 0 a a a
0 a c b a b
0 c 0 c c c
0 c c 0 c 0
b a 0 c a a
b a c 0 a b
b c 0 a c c
b c c b c 0
a 0 0 a 0 0
a 0 c b 0 c
a b 0 c b b
a b c 0 b a
c 0 0 c 0 0
c 0 c 0 0 c
c b 0 a b b
c b c b b a
a a 0 0 a a
a a c c a b
a c 0 b c c
a c c a c 0
c a 0 b a a
c a c a a b
c c 0 0 c c
c c c c c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 3x3 + 8x4 + 13x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_b)4 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_b)2 (X_c)3 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)4 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)2 (X_c)3 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0

Is it a nice code?: No

Generator Matrix-319

a 0 0 a 0 0
0 a 0 a a a
b 0 0 b 0 0
0 b 0 b b b
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b 0 b b b
0 b c a a b
b 0 0 b 0 0
b 0 c a c 0
b b 0 0 b b
b b c c a b
0 a 0 a a a
0 a c b b a
0 c 0 c c c
0 c c 0 0 c
b a 0 c a a
b a c 0 b a
b c 0 a c c
b c c b 0 c
a 0 0 a 0 0
a 0 c b c 0
a b 0 c b b
a b c 0 a b
c 0 0 c 0 0
c 0 c 0 c 0
c b 0 a b b
c b c b a b
a a 0 0 a a
a a c c b a
a c 0 b c c
a c c a 0 c
c a 0 b a a
c a c a b a
c c 0 0 c c
c c c c 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 3x3 + 8x4 + 13x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_b)4 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_b)2 (X_c)3 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)4 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)2 (X_c)3 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0

Is it a nice code?: No

Generator Matrix-320

a 0 0 a 0 0
0 a 0 a a a
b 0 0 b 0 0
0 b 0 b b b
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b 0 b b b
0 b c a a a
b 0 0 b 0 0
b 0 c a c c
b b 0 0 b b
b b c c a a
0 a 0 a a a
0 a c b b b
0 c 0 c c c
0 c c 0 0 0
b a 0 c a a
b a c 0 b b
b c 0 a c c
b c c b 0 0
a 0 0 a 0 0
a 0 c b c c
a b 0 c b b
a b c 0 a a
c 0 0 c 0 0
c 0 c 0 c c
c b 0 a b b
c b c b a a
a a 0 0 a a
a a c c b b
a c 0 b c c
a c c a 0 0
c a 0 b a a
c a c a b b
c c 0 0 c c
c c c c 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 0x3 + 11x4 + 12x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)2 (X_b)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)4 (X_b)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_b)4 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_b)2 (X_c)2 + (X_0)4 (X_a)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0

Is it a nice code?: No

Generator Matrix-321

a 0 0 a 0 a
0 a 0 0 0 0
b 0 0 b 0 b
0 b 0 0 0 0
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b 0 0 0 0
0 b c 0 0 0
b 0 0 b 0 b
b 0 c b 0 b
b b 0 b 0 b
b b c b 0 b
0 a 0 0 0 0
0 a c 0 0 0
0 c 0 0 0 0
0 c c 0 0 0
b a 0 b 0 b
b a c b 0 b
b c 0 b 0 b
b c c b 0 b
a 0 0 a 0 a
a 0 c a 0 a
a b 0 a 0 a
a b c a 0 a
c 0 0 c 0 c
c 0 c c 0 c
c b 0 c 0 c
c b c c 0 c
a a 0 a 0 a
a a c a 0 a
a c 0 a 0 a
a c c a 0 a
c a 0 c 0 c
c a c c 0 c
c c 0 c 0 c
c c c c 0 c

dmin: 1
Weight Enumerator: 1x0 + 4x1 + 3x2 + 3x3 + 12x4 + 9x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)5 (X_b)1 + (X_0)4 (X_b)1 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_b)3 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_b)4 (X_c)1 + (X_0)5 (X_a)1 + (X_0)4 (X_a)1 (X_c)1 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_b)3 (X_c)1 + (X_0)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)3 (X_c)1 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_b)1 (X_c)3 + (X_0)1 (X_b)1 (X_c)4 + (X_0)2 (X_a)4 + (X_0)1 (X_a)4 (X_c)1 + (X_0)2 (X_a)3 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_0)2 (X_a)1 (X_c)3 + (X_0)1 (X_a)1 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 a 0 0 0
0 0 a 0 a 0
0 0 a 0 b 0
0 0 a 0 c 0
0 0 b 0 0 0
0 0 b 0 a 0
0 0 b 0 b 0
0 0 b 0 c 0
0 0 c 0 0 0
0 0 c 0 a 0
0 0 c 0 b 0
0 0 c 0 c 0

Is it a nice code?: No

Generator Matrix-322

a 0 0 a 0 a
0 a 0 0 0 0
b 0 0 b 0 b
0 b 0 0 0 0
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b 0 0 0 0
0 b c 0 0 c
b 0 0 b 0 b
b 0 c b 0 a
b b 0 b 0 b
b b c b 0 a
0 a 0 0 0 0
0 a c 0 0 c
0 c 0 0 0 0
0 c c 0 0 c
b a 0 b 0 b
b a c b 0 a
b c 0 b 0 b
b c c b 0 a
a 0 0 a 0 a
a 0 c a 0 b
a b 0 a 0 a
a b c a 0 b
c 0 0 c 0 c
c 0 c c 0 0
c b 0 c 0 c
c b c c 0 0
a a 0 a 0 a
a a c a 0 b
a c 0 a 0 a
a c c a 0 b
c a 0 c 0 c
c a c c 0 0
c c 0 c 0 c
c c c c 0 0

dmin: 1
Weight Enumerator: 1x0 + 3x1 + 1x2 + 7x3 + 14x4 + 6x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)5 (X_b)1 + (X_0)3 (X_b)1 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)5 (X_a)1 + (X_0)3 (X_a)1 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_b)1 (X_c)3 + (X_0)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_c)3 + (X_0)2 (X_a)1 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 a 0 0 0
0 0 a 0 a 0
0 0 a 0 b 0
0 0 a 0 c 0
0 0 b 0 0 0
0 0 b 0 a 0
0 0 b 0 b 0
0 0 b 0 c 0
0 0 c 0 0 0
0 0 c 0 a 0
0 0 c 0 b 0
0 0 c 0 c 0

Is it a nice code?: No

Generator Matrix-323

a 0 0 a 0 a
0 a 0 0 0 0
b 0 0 b 0 b
0 b 0 0 0 0
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b 0 0 0 0
0 b c 0 c 0
b 0 0 b 0 b
b 0 c b c b
b b 0 b 0 b
b b c b c b
0 a 0 0 0 0
0 a c 0 c 0
0 c 0 0 0 0
0 c c 0 c 0
b a 0 b 0 b
b a c b c b
b c 0 b 0 b
b c c b c b
a 0 0 a 0 a
a 0 c a c a
a b 0 a 0 a
a b c a c a
c 0 0 c 0 c
c 0 c c c c
c b 0 c 0 c
c b c c c c
a a 0 a 0 a
a a c a c a
a c 0 a 0 a
a c c a c a
c a 0 c 0 c
c a c c c c
c c 0 c 0 c
c c c c c c

dmin: 1
Weight Enumerator: 1x0 + 3x1 + 1x2 + 6x3 + 9x4 + 3x5 + 9x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)5 (X_b)1 + (X_0)3 (X_b)1 (X_c)2 + (X_0)3 (X_b)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)2 (X_b)4 + (X_b)4 (X_c)2 + (X_0)5 (X_a)1 + (X_0)3 (X_a)1 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)2 (X_a)1 (X_b)3 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_b)3 (X_c)1 + (X_b)3 (X_c)3 + (X_0)3 (X_a)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)2 (X_a)3 (X_b)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)2 (X_b)1 (X_c)3 + (X_b)1 (X_c)5 + (X_0)2 (X_a)4 + (X_a)4 (X_c)2 + (X_0)2 (X_a)3 (X_c)1 + (X_a)3 (X_c)3 + (X_0)2 (X_a)1 (X_c)3 + (X_a)1 (X_c)5 + (X_0)2 (X_c)4 + (X_c)6

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 a 0 0 0
0 0 a 0 a 0
0 0 a 0 b 0
0 0 a 0 c 0
0 0 b 0 0 0
0 0 b 0 a 0
0 0 b 0 b 0
0 0 b 0 c 0
0 0 c 0 0 0
0 0 c 0 a 0
0 0 c 0 b 0
0 0 c 0 c 0

Is it a nice code?: No

Generator Matrix-324

a 0 0 a 0 a
0 a 0 0 0 0
b 0 0 b 0 b
0 b 0 0 0 0
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b 0 0 0 0
0 b c 0 c c
b 0 0 b 0 b
b 0 c b c a
b b 0 b 0 b
b b c b c a
0 a 0 0 0 0
0 a c 0 c c
0 c 0 0 0 0
0 c c 0 c c
b a 0 b 0 b
b a c b c a
b c 0 b 0 b
b c c b c a
a 0 0 a 0 a
a 0 c a c b
a b 0 a 0 a
a b c a c b
c 0 0 c 0 c
c 0 c c c 0
c b 0 c 0 c
c b c c c 0
a a 0 a 0 a
a a c a c b
a c 0 a 0 a
a c c a c b
c a 0 c 0 c
c a c c c 0
c c 0 c 0 c
c c c c c 0

dmin: 1
Weight Enumerator: 1x0 + 3x1 + 0x2 + 4x3 + 13x4 + 5x5 + 6x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)5 (X_b)1 + (X_0)2 (X_b)1 (X_c)3 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_b)4 + (X_a)1 (X_b)3 (X_c)2 + (X_0)5 (X_a)1 + (X_0)2 (X_a)1 (X_c)3 + (X_0)5 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_a)1 (X_b)3 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_b)3 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)3 (X_b)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_b)1 (X_c)3 + (X_0)1 (X_b)1 (X_c)4 + (X_0)2 (X_a)4 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)3 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_c)3 + (X_0)1 (X_a)1 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 a 0 0 0
0 0 a 0 a 0
0 0 a 0 b 0
0 0 a 0 c 0
0 0 b 0 0 0
0 0 b 0 a 0
0 0 b 0 b 0
0 0 b 0 c 0
0 0 c 0 0 0
0 0 c 0 a 0
0 0 c 0 b 0
0 0 c 0 c 0

Is it a nice code?: No

Generator Matrix-325

a 0 0 a 0 a
0 a 0 0 0 0
b 0 0 b 0 b
0 b 0 0 0 0
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b 0 0 0 0
0 b c c 0 0
b 0 0 b 0 b
b 0 c a 0 b
b b 0 b 0 b
b b c a 0 b
0 a 0 0 0 0
0 a c c 0 0
0 c 0 0 0 0
0 c c c 0 0
b a 0 b 0 b
b a c a 0 b
b c 0 b 0 b
b c c a 0 b
a 0 0 a 0 a
a 0 c b 0 a
a b 0 a 0 a
a b c b 0 a
c 0 0 c 0 c
c 0 c 0 0 c
c b 0 c 0 c
c b c 0 0 c
a a 0 a 0 a
a a c b 0 a
a c 0 a 0 a
a c c b 0 a
c a 0 c 0 c
c a c 0 0 c
c c 0 c 0 c
c c c 0 0 c

dmin: 1
Weight Enumerator: 1x0 + 3x1 + 1x2 + 7x3 + 14x4 + 6x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)5 (X_b)1 + (X_0)3 (X_b)1 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)5 (X_a)1 + (X_0)3 (X_a)1 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_b)1 (X_c)3 + (X_0)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_c)3 + (X_0)2 (X_a)1 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 a 0 0 0
0 0 a 0 a 0
0 0 a 0 b 0
0 0 a 0 c 0
0 0 b 0 0 0
0 0 b 0 a 0
0 0 b 0 b 0
0 0 b 0 c 0
0 0 c 0 0 0
0 0 c 0 a 0
0 0 c 0 b 0
0 0 c 0 c 0

Is it a nice code?: No

Generator Matrix-326

a 0 0 a 0 a
0 a 0 0 0 0
b 0 0 b 0 b
0 b 0 0 0 0
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b 0 0 0 0
0 b c c 0 c
b 0 0 b 0 b
b 0 c a 0 a
b b 0 b 0 b
b b c a 0 a
0 a 0 0 0 0
0 a c c 0 c
0 c 0 0 0 0
0 c c c 0 c
b a 0 b 0 b
b a c a 0 a
b c 0 b 0 b
b c c a 0 a
a 0 0 a 0 a
a 0 c b 0 b
a b 0 a 0 a
a b c b 0 b
c 0 0 c 0 c
c 0 c 0 0 0
c b 0 c 0 c
c b c 0 0 0
a a 0 a 0 a
a a c b 0 b
a c 0 a 0 a
a c c b 0 b
c a 0 c 0 c
c a c 0 0 0
c c 0 c 0 c
c c c 0 0 0

dmin: 1
Weight Enumerator: 1x0 + 3x1 + 1x2 + 7x3 + 14x4 + 6x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)5 (X_b)1 + (X_0)2 (X_b)1 (X_c)3 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)5 (X_a)1 + (X_0)2 (X_a)1 (X_c)3 + (X_0)5 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_b)1 (X_c)3 + (X_0)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_c)3 + (X_0)3 (X_a)1 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 a 0 0 0
0 0 a 0 a 0
0 0 a 0 b 0
0 0 a 0 c 0
0 0 b 0 0 0
0 0 b 0 a 0
0 0 b 0 b 0
0 0 b 0 c 0
0 0 c 0 0 0
0 0 c 0 a 0
0 0 c 0 b 0
0 0 c 0 c 0

Is it a nice code?: No

Generator Matrix-327

a 0 0 a 0 a
0 a 0 0 0 0
b 0 0 b 0 b
0 b 0 0 0 0
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b 0 0 0 0
0 b c c c 0
b 0 0 b 0 b
b 0 c a c b
b b 0 b 0 b
b b c a c b
0 a 0 0 0 0
0 a c c c 0
0 c 0 0 0 0
0 c c c c 0
b a 0 b 0 b
b a c a c b
b c 0 b 0 b
b c c a c b
a 0 0 a 0 a
a 0 c b c a
a b 0 a 0 a
a b c b c a
c 0 0 c 0 c
c 0 c 0 c c
c b 0 c 0 c
c b c 0 c c
a a 0 a 0 a
a a c b c a
a c 0 a 0 a
a c c b c a
c a 0 c 0 c
c a c 0 c c
c c 0 c 0 c
c c c 0 c c

dmin: 1
Weight Enumerator: 1x0 + 3x1 + 0x2 + 4x3 + 13x4 + 5x5 + 6x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)5 (X_b)1 + (X_0)2 (X_b)1 (X_c)3 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_b)4 + (X_a)1 (X_b)3 (X_c)2 + (X_0)5 (X_a)1 + (X_0)2 (X_a)1 (X_c)3 + (X_0)5 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_a)1 (X_b)3 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_b)3 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)3 (X_b)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_b)1 (X_c)3 + (X_0)1 (X_b)1 (X_c)4 + (X_0)2 (X_a)4 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)3 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_c)3 + (X_0)1 (X_a)1 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 a 0 0 0
0 0 a 0 a 0
0 0 a 0 b 0
0 0 a 0 c 0
0 0 b 0 0 0
0 0 b 0 a 0
0 0 b 0 b 0
0 0 b 0 c 0
0 0 c 0 0 0
0 0 c 0 a 0
0 0 c 0 b 0
0 0 c 0 c 0

Is it a nice code?: No

Generator Matrix-328

a 0 0 a 0 a
0 a 0 0 0 0
b 0 0 b 0 b
0 b 0 0 0 0
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b 0 0 0 0
0 b c c c c
b 0 0 b 0 b
b 0 c a c a
b b 0 b 0 b
b b c a c a
0 a 0 0 0 0
0 a c c c c
0 c 0 0 0 0
0 c c c c c
b a 0 b 0 b
b a c a c a
b c 0 b 0 b
b c c a c a
a 0 0 a 0 a
a 0 c b c b
a b 0 a 0 a
a b c b c b
c 0 0 c 0 c
c 0 c 0 c 0
c b 0 c 0 c
c b c 0 c 0
a a 0 a 0 a
a a c b c b
a c 0 a 0 a
a c c b c b
c a 0 c 0 c
c a c 0 c 0
c c 0 c 0 c
c c c 0 c 0

dmin: 1
Weight Enumerator: 1x0 + 3x1 + 0x2 + 4x3 + 13x4 + 5x5 + 6x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)5 (X_b)1 + (X_0)1 (X_b)1 (X_c)4 + (X_0)3 (X_b)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_b)4 + (X_a)2 (X_b)2 (X_c)2 + (X_0)5 (X_a)1 + (X_0)1 (X_a)1 (X_c)4 + (X_0)5 (X_c)1 + (X_0)1 (X_c)5 + (X_0)2 (X_a)1 (X_b)3 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_b)3 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_a)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)3 (X_b)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_b)1 (X_c)3 + (X_0)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)4 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)3 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)1 (X_c)3 + (X_0)2 (X_a)1 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 a 0 0 0
0 0 a 0 a 0
0 0 a 0 b 0
0 0 a 0 c 0
0 0 b 0 0 0
0 0 b 0 a 0
0 0 b 0 b 0
0 0 b 0 c 0
0 0 c 0 0 0
0 0 c 0 a 0
0 0 c 0 b 0
0 0 c 0 c 0

Is it a nice code?: No

Generator Matrix-329

a 0 0 a 0 a
0 a 0 0 0 a
b 0 0 b 0 b
0 b 0 0 0 b
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b 0 0 0 b
0 b c 0 0 b
b 0 0 b 0 b
b 0 c b 0 b
b b 0 b 0 0
b b c b 0 0
0 a 0 0 0 a
0 a c 0 0 a
0 c 0 0 0 c
0 c c 0 0 c
b a 0 b 0 c
b a c b 0 c
b c 0 b 0 a
b c c b 0 a
a 0 0 a 0 a
a 0 c a 0 a
a b 0 a 0 c
a b c a 0 c
c 0 0 c 0 c
c 0 c c 0 c
c b 0 c 0 a
c b c c 0 a
a a 0 a 0 0
a a c a 0 0
a c 0 a 0 b
a c c a 0 b
c a 0 c 0 b
c a c c 0 b
c c 0 c 0 0
c c c c 0 0

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 3x2 + 9x3 + 12x4 + 6x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)4 (X_b)2 + (X_0)3 (X_b)2 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_b)3 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_b)3 (X_c)1 + (X_0)4 (X_a)2 + (X_0)3 (X_a)2 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)3 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_a)3 + (X_0)2 (X_a)3 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 a 0 0 0
0 0 a 0 a 0
0 0 a 0 b 0
0 0 a 0 c 0
0 0 b 0 0 0
0 0 b 0 a 0
0 0 b 0 b 0
0 0 b 0 c 0
0 0 c 0 0 0
0 0 c 0 a 0
0 0 c 0 b 0
0 0 c 0 c 0

Is it a nice code?: No

Generator Matrix-330

a 0 0 a 0 a
0 a 0 0 0 a
b 0 0 b 0 b
0 b 0 0 0 b
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b 0 0 0 b
0 b c 0 0 a
b 0 0 b 0 b
b 0 c b 0 a
b b 0 b 0 0
b b c b 0 c
0 a 0 0 0 a
0 a c 0 0 b
0 c 0 0 0 c
0 c c 0 0 0
b a 0 b 0 c
b a c b 0 0
b c 0 b 0 a
b c c b 0 b
a 0 0 a 0 a
a 0 c a 0 b
a b 0 a 0 c
a b c a 0 0
c 0 0 c 0 c
c 0 c c 0 0
c b 0 c 0 a
c b c c 0 b
a a 0 a 0 0
a a c a 0 c
a c 0 a 0 b
a c c a 0 a
c a 0 c 0 b
c a c c 0 a
c c 0 c 0 0
c c c c 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 5x2 + 9x3 + 10x4 + 7x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_b)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_b)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)4 (X_a)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 a 0 0 0
0 0 a 0 a 0
0 0 a 0 b 0
0 0 a 0 c 0
0 0 b 0 0 0
0 0 b 0 a 0
0 0 b 0 b 0
0 0 b 0 c 0
0 0 c 0 0 0
0 0 c 0 a 0
0 0 c 0 b 0
0 0 c 0 c 0

Is it a nice code?: No

Generator Matrix-331

a 0 0 a 0 a
0 a 0 0 0 a
b 0 0 b 0 b
0 b 0 0 0 b
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b 0 0 0 b
0 b c 0 c b
b 0 0 b 0 b
b 0 c b c b
b b 0 b 0 0
b b c b c 0
0 a 0 0 0 a
0 a c 0 c a
0 c 0 0 0 c
0 c c 0 c c
b a 0 b 0 c
b a c b c c
b c 0 b 0 a
b c c b c a
a 0 0 a 0 a
a 0 c a c a
a b 0 a 0 c
a b c a c c
c 0 0 c 0 c
c 0 c c c c
c b 0 c 0 a
c b c c c a
a a 0 a 0 0
a a c a c 0
a c 0 a 0 b
a c c a c b
c a 0 c 0 b
c a c c c b
c c 0 c 0 0
c c c c c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 6x3 + 9x4 + 6x5 + 6x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)3 (X_b)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)3 (X_b)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_a)1 (X_b)1 (X_c)4 + (X_0)3 (X_a)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_a)1 (X_b)1 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 a 0 0 0
0 0 a 0 a 0
0 0 a 0 b 0
0 0 a 0 c 0
0 0 b 0 0 0
0 0 b 0 a 0
0 0 b 0 b 0
0 0 b 0 c 0
0 0 c 0 0 0
0 0 c 0 a 0
0 0 c 0 b 0
0 0 c 0 c 0

Is it a nice code?: No

Generator Matrix-332

a 0 0 a 0 a
0 a 0 0 0 a
b 0 0 b 0 b
0 b 0 0 0 b
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b 0 0 0 b
0 b c 0 c a
b 0 0 b 0 b
b 0 c b c a
b b 0 b 0 0
b b c b c c
0 a 0 0 0 a
0 a c 0 c b
0 c 0 0 0 c
0 c c 0 c 0
b a 0 b 0 c
b a c b c 0
b c 0 b 0 a
b c c b c b
a 0 0 a 0 a
a 0 c a c b
a b 0 a 0 c
a b c a c 0
c 0 0 c 0 c
c 0 c c c 0
c b 0 c 0 a
c b c c c b
a a 0 a 0 0
a a c a c c
a c 0 a 0 b
a c c a c a
c a 0 c 0 b
c a c c c a
c c 0 c 0 0
c c c c c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 8x3 + 9x4 + 4x5 + 7x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_b)3 + (X_b)3 (X_c)3 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_b)3 (X_c)3 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_b)2 (X_c)4 + (X_0)3 (X_a)3 + (X_a)3 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)3 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_a)2 (X_c)4 + (X_0)3 (X_c)3 + (X_c)6

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 a 0 0 0
0 0 a 0 a 0
0 0 a 0 b 0
0 0 a 0 c 0
0 0 b 0 0 0
0 0 b 0 a 0
0 0 b 0 b 0
0 0 b 0 c 0
0 0 c 0 0 0
0 0 c 0 a 0
0 0 c 0 b 0
0 0 c 0 c 0

Is it a nice code?: No

Generator Matrix-333

a 0 0 a 0 a
0 a 0 0 0 a
b 0 0 b 0 b
0 b 0 0 0 b
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b 0 0 0 b
0 b c c 0 b
b 0 0 b 0 b
b 0 c a 0 b
b b 0 b 0 0
b b c a 0 0
0 a 0 0 0 a
0 a c c 0 a
0 c 0 0 0 c
0 c c c 0 c
b a 0 b 0 c
b a c a 0 c
b c 0 b 0 a
b c c a 0 a
a 0 0 a 0 a
a 0 c b 0 a
a b 0 a 0 c
a b c b 0 c
c 0 0 c 0 c
c 0 c 0 0 c
c b 0 c 0 a
c b c 0 0 a
a a 0 a 0 0
a a c b 0 0
a c 0 a 0 b
a c c b 0 b
c a 0 c 0 b
c a c 0 0 b
c c 0 c 0 0
c c c 0 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 8x3 + 15x4 + 4x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 a 0 0 0
0 0 a 0 a 0
0 0 a 0 b 0
0 0 a 0 c 0
0 0 b 0 0 0
0 0 b 0 a 0
0 0 b 0 b 0
0 0 b 0 c 0
0 0 c 0 0 0
0 0 c 0 a 0
0 0 c 0 b 0
0 0 c 0 c 0

Is it a nice code?: No

Generator Matrix-334

a 0 0 a 0 a
0 a 0 0 0 a
b 0 0 b 0 b
0 b 0 0 0 b
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b 0 0 0 b
0 b c c 0 a
b 0 0 b 0 b
b 0 c a 0 a
b b 0 b 0 0
b b c a 0 c
0 a 0 0 0 a
0 a c c 0 b
0 c 0 0 0 c
0 c c c 0 0
b a 0 b 0 c
b a c a 0 0
b c 0 b 0 a
b c c a 0 b
a 0 0 a 0 a
a 0 c b 0 b
a b 0 a 0 c
a b c b 0 0
c 0 0 c 0 c
c 0 c 0 0 0
c b 0 c 0 a
c b c 0 0 b
a a 0 a 0 0
a a c b 0 c
a c 0 a 0 b
a c c b 0 a
c a 0 c 0 b
c a c 0 0 a
c c 0 c 0 0
c c c 0 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 8x3 + 15x4 + 4x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 a 0 0 0
0 0 a 0 a 0
0 0 a 0 b 0
0 0 a 0 c 0
0 0 b 0 0 0
0 0 b 0 a 0
0 0 b 0 b 0
0 0 b 0 c 0
0 0 c 0 0 0
0 0 c 0 a 0
0 0 c 0 b 0
0 0 c 0 c 0

Is it a nice code?: No

Generator Matrix-335

a 0 0 a 0 a
0 a 0 0 0 a
b 0 0 b 0 b
0 b 0 0 0 b
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b 0 0 0 b
0 b c c c b
b 0 0 b 0 b
b 0 c a c b
b b 0 b 0 0
b b c a c 0
0 a 0 0 0 a
0 a c c c a
0 c 0 0 0 c
0 c c c c c
b a 0 b 0 c
b a c a c c
b c 0 b 0 a
b c c a c a
a 0 0 a 0 a
a 0 c b c a
a b 0 a 0 c
a b c b c c
c 0 0 c 0 c
c 0 c 0 c c
c b 0 c 0 a
c b c 0 c a
a a 0 a 0 0
a a c b c 0
a c 0 a 0 b
a c c b c b
c a 0 c 0 b
c a c 0 c b
c c 0 c 0 0
c c c 0 c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 7x3 + 8x4 + 9x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)4 (X_b)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)4 (X_a)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 a 0 0 0
0 0 a 0 a 0
0 0 a 0 b 0
0 0 a 0 c 0
0 0 b 0 0 0
0 0 b 0 a 0
0 0 b 0 b 0
0 0 b 0 c 0
0 0 c 0 0 0
0 0 c 0 a 0
0 0 c 0 b 0
0 0 c 0 c 0

Is it a nice code?: No

Generator Matrix-336

a 0 0 a 0 a
0 a 0 0 0 a
b 0 0 b 0 b
0 b 0 0 0 b
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b 0 0 0 b
0 b c c c a
b 0 0 b 0 b
b 0 c a c a
b b 0 b 0 0
b b c a c c
0 a 0 0 0 a
0 a c c c b
0 c 0 0 0 c
0 c c c c 0
b a 0 b 0 c
b a c a c 0
b c 0 b 0 a
b c c a c b
a 0 0 a 0 a
a 0 c b c b
a b 0 a 0 c
a b c b c 0
c 0 0 c 0 c
c 0 c 0 c 0
c b 0 c 0 a
c b c 0 c b
a a 0 a 0 0
a a c b c c
a c 0 a 0 b
a c c b c a
c a 0 c 0 b
c a c 0 c a
c c 0 c 0 0
c c c 0 c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 7x3 + 8x4 + 9x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)4 (X_b)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_b)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_b)3 + (X_a)1 (X_b)2 (X_c)3 + (X_0)4 (X_a)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)3 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 a 0 0 0
0 0 a 0 a 0
0 0 a 0 b 0
0 0 a 0 c 0
0 0 b 0 0 0
0 0 b 0 a 0
0 0 b 0 b 0
0 0 b 0 c 0
0 0 c 0 0 0
0 0 c 0 a 0
0 0 c 0 b 0
0 0 c 0 c 0

Is it a nice code?: No

Generator Matrix-337

a 0 0 a 0 a
0 a 0 0 a 0
b 0 0 b 0 b
0 b 0 0 b 0
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b 0 0 b 0
0 b c 0 b 0
b 0 0 b 0 b
b 0 c b 0 b
b b 0 b b b
b b c b b b
0 a 0 0 a 0
0 a c 0 a 0
0 c 0 0 c 0
0 c c 0 c 0
b a 0 b a b
b a c b a b
b c 0 b c b
b c c b c b
a 0 0 a 0 a
a 0 c a 0 a
a b 0 a b a
a b c a b a
c 0 0 c 0 c
c 0 c c 0 c
c b 0 c b c
c b c c b c
a a 0 a a a
a a c a a a
a c 0 a c a
a c c a c a
c a 0 c a c
c a c c a c
c c 0 c c c
c c c c c c

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 3x2 + 6x3 + 3x4 + 9x5 + 9x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)4 (X_b)2 + (X_0)3 (X_b)2 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_b)3 (X_c)1 + (X_0)1 (X_b)5 + (X_b)5 (X_c)1 + (X_0)4 (X_a)2 + (X_0)3 (X_a)2 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)3 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_b)3 (X_c)2 + (X_b)3 (X_c)3 + (X_0)3 (X_a)3 + (X_0)2 (X_a)3 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_a)3 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_b)2 (X_c)3 + (X_b)2 (X_c)4 + (X_0)1 (X_a)5 + (X_a)5 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_a)3 (X_c)3 + (X_0)1 (X_a)2 (X_c)3 + (X_a)2 (X_c)4 + (X_0)1 (X_c)5 + (X_c)6

Dual Codewords:

0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0

Is it a nice code?: No

Generator Matrix-338

a 0 0 a 0 a
0 a 0 0 a 0
b 0 0 b 0 b
0 b 0 0 b 0
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b 0 0 b 0
0 b c 0 b c
b 0 0 b 0 b
b 0 c b 0 a
b b 0 b b b
b b c b b a
0 a 0 0 a 0
0 a c 0 a c
0 c 0 0 c 0
0 c c 0 c c
b a 0 b a b
b a c b a a
b c 0 b c b
b c c b c a
a 0 0 a 0 a
a 0 c a 0 b
a b 0 a b a
a b c a b b
c 0 0 c 0 c
c 0 c c 0 0
c b 0 c b c
c b c c b 0
a a 0 a a a
a a c a a b
a c 0 a c a
a c c a c b
c a 0 c a c
c a c c a 0
c c 0 c c c
c c c c c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 4x3 + 5x4 + 12x5 + 6x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_b)5 + (X_a)1 (X_b)4 (X_c)1 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_a)2 (X_b)3 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_b)3 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_a)2 (X_b)3 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_b)2 (X_c)3 + (X_0)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)5 + (X_a)4 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)2 (X_c)3 + (X_0)1 (X_a)2 (X_c)3 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0

Is it a nice code?: No

Generator Matrix-339

a 0 0 a 0 a
0 a 0 0 a 0
b 0 0 b 0 b
0 b 0 0 b 0
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b 0 0 b 0
0 b c 0 a 0
b 0 0 b 0 b
b 0 c b c b
b b 0 b b b
b b c b a b
0 a 0 0 a 0
0 a c 0 b 0
0 c 0 0 c 0
0 c c 0 0 0
b a 0 b a b
b a c b b b
b c 0 b c b
b c c b 0 b
a 0 0 a 0 a
a 0 c a c a
a b 0 a b a
a b c a a a
c 0 0 c 0 c
c 0 c c c c
c b 0 c b c
c b c c a c
a a 0 a a a
a a c a b a
a c 0 a c a
a c c a 0 a
c a 0 c a c
c a c c b c
c c 0 c c c
c c c c 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 5x2 + 5x3 + 0x4 + 15x5 + 6x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_b)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)3 (X_b)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)1 (X_b)5 + (X_a)1 (X_b)4 (X_c)1 + (X_0)4 (X_a)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)1 (X_a)2 (X_b)3 + (X_a)1 (X_b)4 (X_c)1 + (X_0)1 (X_b)3 (X_c)2 + (X_0)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)3 (X_b)2 + (X_a)4 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)1 (X_b)2 (X_c)3 + (X_a)1 (X_b)1 (X_c)4 + (X_0)1 (X_a)5 + (X_a)4 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)2 (X_c)3 + (X_a)1 (X_b)1 (X_c)4 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0

Is it a nice code?: No

Generator Matrix-340

a 0 0 a 0 a
0 a 0 0 a 0
b 0 0 b 0 b
0 b 0 0 b 0
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b 0 0 b 0
0 b c 0 a c
b 0 0 b 0 b
b 0 c b c a
b b 0 b b b
b b c b a a
0 a 0 0 a 0
0 a c 0 b c
0 c 0 0 c 0
0 c c 0 0 c
b a 0 b a b
b a c b b a
b c 0 b c b
b c c b 0 a
a 0 0 a 0 a
a 0 c a c b
a b 0 a b a
a b c a a b
c 0 0 c 0 c
c 0 c c c 0
c b 0 c b c
c b c c a 0
a a 0 a a a
a a c a b b
a c 0 a c a
a c c a 0 b
c a 0 c a c
c a c c b 0
c c 0 c c c
c c c c 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 5x3 + 4x4 + 15x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_b)5 + (X_a)2 (X_b)3 (X_c)1 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)3 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_b)2 + (X_a)3 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)5 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0

Is it a nice code?: No

Generator Matrix-341

a 0 0 a 0 a
0 a 0 0 a 0
b 0 0 b 0 b
0 b 0 0 b 0
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b 0 0 b 0
0 b c c b 0
b 0 0 b 0 b
b 0 c a 0 b
b b 0 b b b
b b c a b b
0 a 0 0 a 0
0 a c c a 0
0 c 0 0 c 0
0 c c c c 0
b a 0 b a b
b a c a a b
b c 0 b c b
b c c a c b
a 0 0 a 0 a
a 0 c b 0 a
a b 0 a b a
a b c b b a
c 0 0 c 0 c
c 0 c 0 0 c
c b 0 c b c
c b c 0 b c
a a 0 a a a
a a c b a a
a c 0 a c a
a c c b c a
c a 0 c a c
c a c 0 a c
c c 0 c c c
c c c 0 c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 4x3 + 5x4 + 12x5 + 6x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_b)5 + (X_a)1 (X_b)4 (X_c)1 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_a)2 (X_b)3 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_b)3 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_a)2 (X_b)3 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_b)2 (X_c)3 + (X_0)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)5 + (X_a)4 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)2 (X_c)3 + (X_0)1 (X_a)2 (X_c)3 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0

Is it a nice code?: No

Generator Matrix-342

a 0 0 a 0 a
0 a 0 0 a 0
b 0 0 b 0 b
0 b 0 0 b 0
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b 0 0 b 0
0 b c c b c
b 0 0 b 0 b
b 0 c a 0 a
b b 0 b b b
b b c a b a
0 a 0 0 a 0
0 a c c a c
0 c 0 0 c 0
0 c c c c c
b a 0 b a b
b a c a a a
b c 0 b c b
b c c a c a
a 0 0 a 0 a
a 0 c b 0 b
a b 0 a b a
a b c b b b
c 0 0 c 0 c
c 0 c 0 0 0
c b 0 c b c
c b c 0 b 0
a a 0 a a a
a a c b a b
a c 0 a c a
a c c b c b
c a 0 c a c
c a c 0 a 0
c c 0 c c c
c c c 0 c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 4x3 + 5x4 + 12x5 + 6x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)4 (X_b)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_b)5 + (X_a)2 (X_b)3 (X_c)1 + (X_0)4 (X_a)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5 + (X_0)1 (X_a)2 (X_b)3 + (X_a)4 (X_b)1 (X_c)1 + (X_0)1 (X_b)3 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_a)1 (X_b)4 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)5 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)2 (X_c)3 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0

Is it a nice code?: No

Generator Matrix-343

a 0 0 a 0 a
0 a 0 0 a 0
b 0 0 b 0 b
0 b 0 0 b 0
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b 0 0 b 0
0 b c c a 0
b 0 0 b 0 b
b 0 c a c b
b b 0 b b b
b b c a a b
0 a 0 0 a 0
0 a c c b 0
0 c 0 0 c 0
0 c c c 0 0
b a 0 b a b
b a c a b b
b c 0 b c b
b c c a 0 b
a 0 0 a 0 a
a 0 c b c a
a b 0 a b a
a b c b a a
c 0 0 c 0 c
c 0 c 0 c c
c b 0 c b c
c b c 0 a c
a a 0 a a a
a a c b b a
a c 0 a c a
a c c b 0 a
c a 0 c a c
c a c 0 b c
c c 0 c c c
c c c 0 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 5x3 + 4x4 + 15x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_b)5 + (X_a)2 (X_b)3 (X_c)1 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)3 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_b)2 + (X_a)3 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)5 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0

Is it a nice code?: No

Generator Matrix-344

a 0 0 a 0 a
0 a 0 0 a 0
b 0 0 b 0 b
0 b 0 0 b 0
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b 0 0 b 0
0 b c c a c
b 0 0 b 0 b
b 0 c a c a
b b 0 b b b
b b c a a a
0 a 0 0 a 0
0 a c c b c
0 c 0 0 c 0
0 c c c 0 c
b a 0 b a b
b a c a b a
b c 0 b c b
b c c a 0 a
a 0 0 a 0 a
a 0 c b c b
a b 0 a b a
a b c b a b
c 0 0 c 0 c
c 0 c 0 c 0
c b 0 c b c
c b c 0 a 0
a a 0 a a a
a a c b b b
a c 0 a c a
a c c b 0 b
c a 0 c a c
c a c 0 b 0
c c 0 c c c
c c c 0 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 5x3 + 4x4 + 15x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)4 (X_b)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_b)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_b)5 + (X_a)3 (X_b)2 (X_c)1 + (X_0)4 (X_a)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_a)2 (X_b)3 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)3 (X_b)2 + (X_a)2 (X_b)3 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)5 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0

Is it a nice code?: No

Generator Matrix-345

a 0 0 a 0 a
0 a 0 0 a a
b 0 0 b 0 b
0 b 0 0 b b
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b 0 0 b b
0 b c 0 b b
b 0 0 b 0 b
b 0 c b 0 b
b b 0 b b 0
b b c b b 0
0 a 0 0 a a
0 a c 0 a a
0 c 0 0 c c
0 c c 0 c c
b a 0 b a c
b a c b a c
b c 0 b c a
b c c b c a
a 0 0 a 0 a
a 0 c a 0 a
a b 0 a b c
a b c a b c
c 0 0 c 0 c
c 0 c c 0 c
c b 0 c b a
c b c c b a
a a 0 a a 0
a a c a a 0
a c 0 a c b
a c c a c b
c a 0 c a b
c a c c a b
c c 0 c c 0
c c c c c 0

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 0x2 + 6x3 + 9x4 + 9x5 + 6x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_b)3 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_b)3 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_b)4 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)3 (X_c)1 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)3 + (X_0)2 (X_a)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)4 + (X_0)1 (X_a)4 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0

Is it a nice code?: No

Generator Matrix-346

a 0 0 a 0 a
0 a 0 0 a a
b 0 0 b 0 b
0 b 0 0 b b
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b 0 0 b b
0 b c 0 b a
b 0 0 b 0 b
b 0 c b 0 a
b b 0 b b 0
b b c b b c
0 a 0 0 a a
0 a c 0 a b
0 c 0 0 c c
0 c c 0 c 0
b a 0 b a c
b a c b a 0
b c 0 b c a
b c c b c b
a 0 0 a 0 a
a 0 c a 0 b
a b 0 a b c
a b c a b 0
c 0 0 c 0 c
c 0 c c 0 0
c b 0 c b a
c b c c b b
a a 0 a a 0
a a c a a c
a c 0 a c b
a c c a c a
c a 0 c a b
c a c c a a
c c 0 c c 0
c c c c c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 8x3 + 7x4 + 8x5 + 7x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_b)4 + (X_b)4 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_b)3 (X_c)3 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_b)3 (X_c)3 + (X_0)2 (X_a)4 + (X_a)4 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)3 (X_c)3 + (X_0)2 (X_c)4 + (X_c)6

Dual Codewords:

0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0

Is it a nice code?: No

Generator Matrix-347

a 0 0 a 0 a
0 a 0 0 a a
b 0 0 b 0 b
0 b 0 0 b b
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b 0 0 b b
0 b c 0 a b
b 0 0 b 0 b
b 0 c b c b
b b 0 b b 0
b b c b a 0
0 a 0 0 a a
0 a c 0 b a
0 c 0 0 c c
0 c c 0 0 c
b a 0 b a c
b a c b b c
b c 0 b c a
b c c b 0 a
a 0 0 a 0 a
a 0 c a c a
a b 0 a b c
a b c a a c
c 0 0 c 0 c
c 0 c c c c
c b 0 c b a
c b c c a a
a a 0 a a 0
a a c a b 0
a c 0 a c b
a c c a 0 b
c a 0 c a b
c a c c b b
c c 0 c c 0
c c c c 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 7x3 + 6x4 + 13x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_b)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0

Is it a nice code?: No

Generator Matrix-348

a 0 0 a 0 a
0 a 0 0 a a
b 0 0 b 0 b
0 b 0 0 b b
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b 0 0 b b
0 b c 0 a a
b 0 0 b 0 b
b 0 c b c a
b b 0 b b 0
b b c b a c
0 a 0 0 a a
0 a c 0 b b
0 c 0 0 c c
0 c c 0 0 0
b a 0 b a c
b a c b b 0
b c 0 b c a
b c c b 0 b
a 0 0 a 0 a
a 0 c a c b
a b 0 a b c
a b c a a 0
c 0 0 c 0 c
c 0 c c c 0
c b 0 c b a
c b c c a b
a a 0 a a 0
a a c a b c
a c 0 a c b
a c c a 0 a
c a 0 c a b
c a c c b a
c c 0 c c 0
c c c c 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 7x3 + 6x4 + 13x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_b)4 + (X_a)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)4 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0

Is it a nice code?: No

Generator Matrix-349

a 0 0 a 0 a
0 a 0 0 a a
b 0 0 b 0 b
0 b 0 0 b b
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b 0 0 b b
0 b c c b b
b 0 0 b 0 b
b 0 c a 0 b
b b 0 b b 0
b b c a b 0
0 a 0 0 a a
0 a c c a a
0 c 0 0 c c
0 c c c c c
b a 0 b a c
b a c a a c
b c 0 b c a
b c c a c a
a 0 0 a 0 a
a 0 c b 0 a
a b 0 a b c
a b c b b c
c 0 0 c 0 c
c 0 c 0 0 c
c b 0 c b a
c b c 0 b a
a a 0 a a 0
a a c b a 0
a c 0 a c b
a c c b c b
c a 0 c a b
c a c 0 a b
c c 0 c c 0
c c c 0 c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 7x3 + 6x4 + 13x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)3 (X_a)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0

Is it a nice code?: No

Generator Matrix-350

a 0 0 a 0 a
0 a 0 0 a a
b 0 0 b 0 b
0 b 0 0 b b
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b 0 0 b b
0 b c c b a
b 0 0 b 0 b
b 0 c a 0 a
b b 0 b b 0
b b c a b c
0 a 0 0 a a
0 a c c a b
0 c 0 0 c c
0 c c c c 0
b a 0 b a c
b a c a a 0
b c 0 b c a
b c c a c b
a 0 0 a 0 a
a 0 c b 0 b
a b 0 a b c
a b c b b 0
c 0 0 c 0 c
c 0 c 0 0 0
c b 0 c b a
c b c 0 b b
a a 0 a a 0
a a c b a c
a c 0 a c b
a c c b c a
c a 0 c a b
c a c 0 a a
c c 0 c c 0
c c c 0 c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 7x3 + 6x4 + 13x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_b)4 + (X_a)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)4 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0

Is it a nice code?: No

Generator Matrix-351

a 0 0 a 0 a
0 a 0 0 a a
b 0 0 b 0 b
0 b 0 0 b b
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b 0 0 b b
0 b c c a b
b 0 0 b 0 b
b 0 c a c b
b b 0 b b 0
b b c a a 0
0 a 0 0 a a
0 a c c b a
0 c 0 0 c c
0 c c c 0 c
b a 0 b a c
b a c a b c
b c 0 b c a
b c c a 0 a
a 0 0 a 0 a
a 0 c b c a
a b 0 a b c
a b c b a c
c 0 0 c 0 c
c 0 c 0 c c
c b 0 c b a
c b c 0 a a
a a 0 a a 0
a a c b b 0
a c 0 a c b
a c c b 0 b
c a 0 c a b
c a c 0 b b
c c 0 c c 0
c c c 0 0 0

dmin: 3
Weight Enumerator: 1x0 + 0x1 + 0x2 + 8x3 + 5x4 + 16x5 + 2x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0

Is it a nice code?: No

Generator Matrix-352

a 0 0 a 0 a
0 a 0 0 a a
b 0 0 b 0 b
0 b 0 0 b b
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b 0 0 b b
0 b c c a a
b 0 0 b 0 b
b 0 c a c a
b b 0 b b 0
b b c a a c
0 a 0 0 a a
0 a c c b b
0 c 0 0 c c
0 c c c 0 0
b a 0 b a c
b a c a b 0
b c 0 b c a
b c c a 0 b
a 0 0 a 0 a
a 0 c b c b
a b 0 a b c
a b c b a 0
c 0 0 c 0 c
c 0 c 0 c 0
c b 0 c b a
c b c 0 a b
a a 0 a a 0
a a c b b c
a c 0 a c b
a c c b 0 a
c a 0 c a b
c a c 0 b a
c c 0 c c 0
c c c 0 0 c

dmin: 3
Weight Enumerator: 1x0 + 0x1 + 0x2 + 8x3 + 5x4 + 16x5 + 2x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)3 (X_b)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_b)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_b)4 + (X_a)2 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0

Is it a nice code?: No

Generator Matrix-353

a 0 0 a 0 a
0 a 0 a 0 0
b 0 0 b 0 b
0 b 0 b 0 0
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b 0 b 0 0
0 b c b 0 0
b 0 0 b 0 b
b 0 c b 0 b
b b 0 0 0 b
b b c 0 0 b
0 a 0 a 0 0
0 a c a 0 0
0 c 0 c 0 0
0 c c c 0 0
b a 0 c 0 b
b a c c 0 b
b c 0 a 0 b
b c c a 0 b
a 0 0 a 0 a
a 0 c a 0 a
a b 0 c 0 a
a b c c 0 a
c 0 0 c 0 c
c 0 c c 0 c
c b 0 a 0 c
c b c a 0 c
a a 0 0 0 a
a a c 0 0 a
a c 0 b 0 a
a c c b 0 a
c a 0 b 0 c
c a c b 0 c
c c 0 0 0 c
c c c 0 0 c

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 3x2 + 9x3 + 12x4 + 6x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)4 (X_b)2 + (X_0)3 (X_b)2 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_b)3 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_b)3 (X_c)1 + (X_0)4 (X_a)2 + (X_0)3 (X_a)2 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)3 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_a)3 + (X_0)2 (X_a)3 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 a 0 0 0
0 0 a 0 a 0
0 0 a 0 b 0
0 0 a 0 c 0
0 0 b 0 0 0
0 0 b 0 a 0
0 0 b 0 b 0
0 0 b 0 c 0
0 0 c 0 0 0
0 0 c 0 a 0
0 0 c 0 b 0
0 0 c 0 c 0

Is it a nice code?: No

Generator Matrix-354

a 0 0 a 0 a
0 a 0 a 0 0
b 0 0 b 0 b
0 b 0 b 0 0
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b 0 b 0 0
0 b c b 0 c
b 0 0 b 0 b
b 0 c b 0 a
b b 0 0 0 b
b b c 0 0 a
0 a 0 a 0 0
0 a c a 0 c
0 c 0 c 0 0
0 c c c 0 c
b a 0 c 0 b
b a c c 0 a
b c 0 a 0 b
b c c a 0 a
a 0 0 a 0 a
a 0 c a 0 b
a b 0 c 0 a
a b c c 0 b
c 0 0 c 0 c
c 0 c c 0 0
c b 0 a 0 c
c b c a 0 0
a a 0 0 0 a
a a c 0 0 b
a c 0 b 0 a
a c c b 0 b
c a 0 b 0 c
c a c b 0 0
c c 0 0 0 c
c c c 0 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 8x3 + 15x4 + 4x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 a 0 0 0
0 0 a 0 a 0
0 0 a 0 b 0
0 0 a 0 c 0
0 0 b 0 0 0
0 0 b 0 a 0
0 0 b 0 b 0
0 0 b 0 c 0
0 0 c 0 0 0
0 0 c 0 a 0
0 0 c 0 b 0
0 0 c 0 c 0

Is it a nice code?: No

Generator Matrix-355

a 0 0 a 0 a
0 a 0 a 0 0
b 0 0 b 0 b
0 b 0 b 0 0
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b 0 b 0 0
0 b c b c 0
b 0 0 b 0 b
b 0 c b c b
b b 0 0 0 b
b b c 0 c b
0 a 0 a 0 0
0 a c a c 0
0 c 0 c 0 0
0 c c c c 0
b a 0 c 0 b
b a c c c b
b c 0 a 0 b
b c c a c b
a 0 0 a 0 a
a 0 c a c a
a b 0 c 0 a
a b c c c a
c 0 0 c 0 c
c 0 c c c c
c b 0 a 0 c
c b c a c c
a a 0 0 0 a
a a c 0 c a
a c 0 b 0 a
a c c b c a
c a 0 b 0 c
c a c b c c
c c 0 0 0 c
c c c 0 c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 6x3 + 9x4 + 6x5 + 6x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)3 (X_b)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)3 (X_b)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_a)1 (X_b)1 (X_c)4 + (X_0)3 (X_a)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_a)1 (X_b)1 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 a 0 0 0
0 0 a 0 a 0
0 0 a 0 b 0
0 0 a 0 c 0
0 0 b 0 0 0
0 0 b 0 a 0
0 0 b 0 b 0
0 0 b 0 c 0
0 0 c 0 0 0
0 0 c 0 a 0
0 0 c 0 b 0
0 0 c 0 c 0

Is it a nice code?: No

Generator Matrix-356

a 0 0 a 0 a
0 a 0 a 0 0
b 0 0 b 0 b
0 b 0 b 0 0
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b 0 b 0 0
0 b c b c c
b 0 0 b 0 b
b 0 c b c a
b b 0 0 0 b
b b c 0 c a
0 a 0 a 0 0
0 a c a c c
0 c 0 c 0 0
0 c c c c c
b a 0 c 0 b
b a c c c a
b c 0 a 0 b
b c c a c a
a 0 0 a 0 a
a 0 c a c b
a b 0 c 0 a
a b c c c b
c 0 0 c 0 c
c 0 c c c 0
c b 0 a 0 c
c b c a c 0
a a 0 0 0 a
a a c 0 c b
a c 0 b 0 a
a c c b c b
c a 0 b 0 c
c a c b c 0
c c 0 0 0 c
c c c 0 c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 7x3 + 8x4 + 9x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)4 (X_b)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)4 (X_a)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 a 0 0 0
0 0 a 0 a 0
0 0 a 0 b 0
0 0 a 0 c 0
0 0 b 0 0 0
0 0 b 0 a 0
0 0 b 0 b 0
0 0 b 0 c 0
0 0 c 0 0 0
0 0 c 0 a 0
0 0 c 0 b 0
0 0 c 0 c 0

Is it a nice code?: No

Generator Matrix-357

a 0 0 a 0 a
0 a 0 a 0 0
b 0 0 b 0 b
0 b 0 b 0 0
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b 0 b 0 0
0 b c a 0 0
b 0 0 b 0 b
b 0 c a 0 b
b b 0 0 0 b
b b c c 0 b
0 a 0 a 0 0
0 a c b 0 0
0 c 0 c 0 0
0 c c 0 0 0
b a 0 c 0 b
b a c 0 0 b
b c 0 a 0 b
b c c b 0 b
a 0 0 a 0 a
a 0 c b 0 a
a b 0 c 0 a
a b c 0 0 a
c 0 0 c 0 c
c 0 c 0 0 c
c b 0 a 0 c
c b c b 0 c
a a 0 0 0 a
a a c c 0 a
a c 0 b 0 a
a c c a 0 a
c a 0 b 0 c
c a c a 0 c
c c 0 0 0 c
c c c c 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 5x2 + 9x3 + 10x4 + 7x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_b)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_b)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)4 (X_a)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 a 0 0 0
0 0 a 0 a 0
0 0 a 0 b 0
0 0 a 0 c 0
0 0 b 0 0 0
0 0 b 0 a 0
0 0 b 0 b 0
0 0 b 0 c 0
0 0 c 0 0 0
0 0 c 0 a 0
0 0 c 0 b 0
0 0 c 0 c 0

Is it a nice code?: No

Generator Matrix-358

a 0 0 a 0 a
0 a 0 a 0 0
b 0 0 b 0 b
0 b 0 b 0 0
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b 0 b 0 0
0 b c a 0 c
b 0 0 b 0 b
b 0 c a 0 a
b b 0 0 0 b
b b c c 0 a
0 a 0 a 0 0
0 a c b 0 c
0 c 0 c 0 0
0 c c 0 0 c
b a 0 c 0 b
b a c 0 0 a
b c 0 a 0 b
b c c b 0 a
a 0 0 a 0 a
a 0 c b 0 b
a b 0 c 0 a
a b c 0 0 b
c 0 0 c 0 c
c 0 c 0 0 0
c b 0 a 0 c
c b c b 0 0
a a 0 0 0 a
a a c c 0 b
a c 0 b 0 a
a c c a 0 b
c a 0 b 0 c
c a c a 0 0
c c 0 0 0 c
c c c c 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 8x3 + 15x4 + 4x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 a 0 0 0
0 0 a 0 a 0
0 0 a 0 b 0
0 0 a 0 c 0
0 0 b 0 0 0
0 0 b 0 a 0
0 0 b 0 b 0
0 0 b 0 c 0
0 0 c 0 0 0
0 0 c 0 a 0
0 0 c 0 b 0
0 0 c 0 c 0

Is it a nice code?: No

Generator Matrix-359

a 0 0 a 0 a
0 a 0 a 0 0
b 0 0 b 0 b
0 b 0 b 0 0
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b 0 b 0 0
0 b c a c 0
b 0 0 b 0 b
b 0 c a c b
b b 0 0 0 b
b b c c c b
0 a 0 a 0 0
0 a c b c 0
0 c 0 c 0 0
0 c c 0 c 0
b a 0 c 0 b
b a c 0 c b
b c 0 a 0 b
b c c b c b
a 0 0 a 0 a
a 0 c b c a
a b 0 c 0 a
a b c 0 c a
c 0 0 c 0 c
c 0 c 0 c c
c b 0 a 0 c
c b c b c c
a a 0 0 0 a
a a c c c a
a c 0 b 0 a
a c c a c a
c a 0 b 0 c
c a c a c c
c c 0 0 0 c
c c c c c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 8x3 + 9x4 + 4x5 + 7x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_b)3 + (X_b)3 (X_c)3 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_b)3 (X_c)3 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_b)2 (X_c)4 + (X_0)3 (X_a)3 + (X_a)3 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)3 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_a)2 (X_c)4 + (X_0)3 (X_c)3 + (X_c)6

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 a 0 0 0
0 0 a 0 a 0
0 0 a 0 b 0
0 0 a 0 c 0
0 0 b 0 0 0
0 0 b 0 a 0
0 0 b 0 b 0
0 0 b 0 c 0
0 0 c 0 0 0
0 0 c 0 a 0
0 0 c 0 b 0
0 0 c 0 c 0

Is it a nice code?: No

Generator Matrix-360

a 0 0 a 0 a
0 a 0 a 0 0
b 0 0 b 0 b
0 b 0 b 0 0
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b 0 b 0 0
0 b c a c c
b 0 0 b 0 b
b 0 c a c a
b b 0 0 0 b
b b c c c a
0 a 0 a 0 0
0 a c b c c
0 c 0 c 0 0
0 c c 0 c c
b a 0 c 0 b
b a c 0 c a
b c 0 a 0 b
b c c b c a
a 0 0 a 0 a
a 0 c b c b
a b 0 c 0 a
a b c 0 c b
c 0 0 c 0 c
c 0 c 0 c 0
c b 0 a 0 c
c b c b c 0
a a 0 0 0 a
a a c c c b
a c 0 b 0 a
a c c a c b
c a 0 b 0 c
c a c a c 0
c c 0 0 0 c
c c c c c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 7x3 + 8x4 + 9x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)4 (X_b)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_b)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_b)3 + (X_a)1 (X_b)2 (X_c)3 + (X_0)4 (X_a)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)3 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 a 0 0 0
0 0 a 0 a 0
0 0 a 0 b 0
0 0 a 0 c 0
0 0 b 0 0 0
0 0 b 0 a 0
0 0 b 0 b 0
0 0 b 0 c 0
0 0 c 0 0 0
0 0 c 0 a 0
0 0 c 0 b 0
0 0 c 0 c 0

Is it a nice code?: No

Generator Matrix-361

a 0 0 a 0 a
0 a 0 a 0 a
b 0 0 b 0 b
0 b 0 b 0 b
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b 0 b 0 b
0 b c b 0 b
b 0 0 b 0 b
b 0 c b 0 b
b b 0 0 0 0
b b c 0 0 0
0 a 0 a 0 a
0 a c a 0 a
0 c 0 c 0 c
0 c c c 0 c
b a 0 c 0 c
b a c c 0 c
b c 0 a 0 a
b c c a 0 a
a 0 0 a 0 a
a 0 c a 0 a
a b 0 c 0 c
a b c c 0 c
c 0 0 c 0 c
c 0 c c 0 c
c b 0 a 0 a
c b c a 0 a
a a 0 0 0 0
a a c 0 0 0
a c 0 b 0 b
a c c b 0 b
c a 0 b 0 b
c a c b 0 b
c c 0 0 0 0
c c c 0 0 0

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 3x2 + 9x3 + 12x4 + 6x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_b)3 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_b)3 (X_c)1 + (X_0)4 (X_b)2 + (X_0)3 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)3 (X_c)1 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)3 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)4 (X_a)2 + (X_0)3 (X_a)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 a 0 0 0
0 0 a 0 a 0
0 0 a 0 b 0
0 0 a 0 c 0
0 0 b 0 0 0
0 0 b 0 a 0
0 0 b 0 b 0
0 0 b 0 c 0
0 0 c 0 0 0
0 0 c 0 a 0
0 0 c 0 b 0
0 0 c 0 c 0

Is it a nice code?: No

Generator Matrix-362

a 0 0 a 0 a
0 a 0 a 0 a
b 0 0 b 0 b
0 b 0 b 0 b
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b 0 b 0 b
0 b c b 0 a
b 0 0 b 0 b
b 0 c b 0 a
b b 0 0 0 0
b b c 0 0 c
0 a 0 a 0 a
0 a c a 0 b
0 c 0 c 0 c
0 c c c 0 0
b a 0 c 0 c
b a c c 0 0
b c 0 a 0 a
b c c a 0 b
a 0 0 a 0 a
a 0 c a 0 b
a b 0 c 0 c
a b c c 0 0
c 0 0 c 0 c
c 0 c c 0 0
c b 0 a 0 a
c b c a 0 b
a a 0 0 0 0
a a c 0 0 c
a c 0 b 0 b
a c c b 0 a
c a 0 b 0 b
c a c b 0 a
c c 0 0 0 0
c c c 0 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 8x3 + 15x4 + 4x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 a 0 0 0
0 0 a 0 a 0
0 0 a 0 b 0
0 0 a 0 c 0
0 0 b 0 0 0
0 0 b 0 a 0
0 0 b 0 b 0
0 0 b 0 c 0
0 0 c 0 0 0
0 0 c 0 a 0
0 0 c 0 b 0
0 0 c 0 c 0

Is it a nice code?: No

Generator Matrix-363

a 0 0 a 0 a
0 a 0 a 0 a
b 0 0 b 0 b
0 b 0 b 0 b
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b 0 b 0 b
0 b c b c b
b 0 0 b 0 b
b 0 c b c b
b b 0 0 0 0
b b c 0 c 0
0 a 0 a 0 a
0 a c a c a
0 c 0 c 0 c
0 c c c c c
b a 0 c 0 c
b a c c c c
b c 0 a 0 a
b c c a c a
a 0 0 a 0 a
a 0 c a c a
a b 0 c 0 c
a b c c c c
c 0 0 c 0 c
c 0 c c c c
c b 0 a 0 a
c b c a c a
a a 0 0 0 0
a a c 0 c 0
a c 0 b 0 b
a c c b c b
c a 0 b 0 b
c a c b c b
c c 0 0 0 0
c c c 0 c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 6x3 + 9x4 + 6x5 + 6x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)3 (X_b)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_a)1 (X_b)1 (X_c)4 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_a)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_a)1 (X_b)1 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 a 0 0 0
0 0 a 0 a 0
0 0 a 0 b 0
0 0 a 0 c 0
0 0 b 0 0 0
0 0 b 0 a 0
0 0 b 0 b 0
0 0 b 0 c 0
0 0 c 0 0 0
0 0 c 0 a 0
0 0 c 0 b 0
0 0 c 0 c 0

Is it a nice code?: No

Generator Matrix-364

a 0 0 a 0 a
0 a 0 a 0 a
b 0 0 b 0 b
0 b 0 b 0 b
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b 0 b 0 b
0 b c b c a
b 0 0 b 0 b
b 0 c b c a
b b 0 0 0 0
b b c 0 c c
0 a 0 a 0 a
0 a c a c b
0 c 0 c 0 c
0 c c c c 0
b a 0 c 0 c
b a c c c 0
b c 0 a 0 a
b c c a c b
a 0 0 a 0 a
a 0 c a c b
a b 0 c 0 c
a b c c c 0
c 0 0 c 0 c
c 0 c c c 0
c b 0 a 0 a
c b c a c b
a a 0 0 0 0
a a c 0 c c
a c 0 b 0 b
a c c b c a
c a 0 b 0 b
c a c b c a
c c 0 0 0 0
c c c 0 c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 7x3 + 8x4 + 9x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)4 (X_b)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)4 (X_a)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 a 0 0 0
0 0 a 0 a 0
0 0 a 0 b 0
0 0 a 0 c 0
0 0 b 0 0 0
0 0 b 0 a 0
0 0 b 0 b 0
0 0 b 0 c 0
0 0 c 0 0 0
0 0 c 0 a 0
0 0 c 0 b 0
0 0 c 0 c 0

Is it a nice code?: No

Generator Matrix-365

a 0 0 a 0 a
0 a 0 a 0 a
b 0 0 b 0 b
0 b 0 b 0 b
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b 0 b 0 b
0 b c a 0 b
b 0 0 b 0 b
b 0 c a 0 b
b b 0 0 0 0
b b c c 0 0
0 a 0 a 0 a
0 a c b 0 a
0 c 0 c 0 c
0 c c 0 0 c
b a 0 c 0 c
b a c 0 0 c
b c 0 a 0 a
b c c b 0 a
a 0 0 a 0 a
a 0 c b 0 a
a b 0 c 0 c
a b c 0 0 c
c 0 0 c 0 c
c 0 c 0 0 c
c b 0 a 0 a
c b c b 0 a
a a 0 0 0 0
a a c c 0 0
a c 0 b 0 b
a c c a 0 b
c a 0 b 0 b
c a c a 0 b
c c 0 0 0 0
c c c c 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 8x3 + 15x4 + 4x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 a 0 0 0
0 0 a 0 a 0
0 0 a 0 b 0
0 0 a 0 c 0
0 0 b 0 0 0
0 0 b 0 a 0
0 0 b 0 b 0
0 0 b 0 c 0
0 0 c 0 0 0
0 0 c 0 a 0
0 0 c 0 b 0
0 0 c 0 c 0

Is it a nice code?: No

Generator Matrix-366

a 0 0 a 0 a
0 a 0 a 0 a
b 0 0 b 0 b
0 b 0 b 0 b
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b 0 b 0 b
0 b c a 0 a
b 0 0 b 0 b
b 0 c a 0 a
b b 0 0 0 0
b b c c 0 c
0 a 0 a 0 a
0 a c b 0 b
0 c 0 c 0 c
0 c c 0 0 0
b a 0 c 0 c
b a c 0 0 0
b c 0 a 0 a
b c c b 0 b
a 0 0 a 0 a
a 0 c b 0 b
a b 0 c 0 c
a b c 0 0 0
c 0 0 c 0 c
c 0 c 0 0 0
c b 0 a 0 a
c b c b 0 b
a a 0 0 0 0
a a c c 0 c
a c 0 b 0 b
a c c a 0 a
c a 0 b 0 b
c a c a 0 a
c c 0 0 0 0
c c c c 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 5x2 + 9x3 + 10x4 + 7x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)4 (X_b)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_b)3 (X_c)2 + (X_0)4 (X_a)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 a 0 0 0
0 0 a 0 a 0
0 0 a 0 b 0
0 0 a 0 c 0
0 0 b 0 0 0
0 0 b 0 a 0
0 0 b 0 b 0
0 0 b 0 c 0
0 0 c 0 0 0
0 0 c 0 a 0
0 0 c 0 b 0
0 0 c 0 c 0

Is it a nice code?: No

Generator Matrix-367

a 0 0 a 0 a
0 a 0 a 0 a
b 0 0 b 0 b
0 b 0 b 0 b
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b 0 b 0 b
0 b c a c b
b 0 0 b 0 b
b 0 c a c b
b b 0 0 0 0
b b c c c 0
0 a 0 a 0 a
0 a c b c a
0 c 0 c 0 c
0 c c 0 c c
b a 0 c 0 c
b a c 0 c c
b c 0 a 0 a
b c c b c a
a 0 0 a 0 a
a 0 c b c a
a b 0 c 0 c
a b c 0 c c
c 0 0 c 0 c
c 0 c 0 c c
c b 0 a 0 a
c b c b c a
a a 0 0 0 0
a a c c c 0
a c 0 b 0 b
a c c a c b
c a 0 b 0 b
c a c a c b
c c 0 0 0 0
c c c c c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 7x3 + 8x4 + 9x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)4 (X_b)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)4 (X_a)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 a 0 0 0
0 0 a 0 a 0
0 0 a 0 b 0
0 0 a 0 c 0
0 0 b 0 0 0
0 0 b 0 a 0
0 0 b 0 b 0
0 0 b 0 c 0
0 0 c 0 0 0
0 0 c 0 a 0
0 0 c 0 b 0
0 0 c 0 c 0

Is it a nice code?: No

Generator Matrix-368

a 0 0 a 0 a
0 a 0 a 0 a
b 0 0 b 0 b
0 b 0 b 0 b
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b 0 b 0 b
0 b c a c a
b 0 0 b 0 b
b 0 c a c a
b b 0 0 0 0
b b c c c c
0 a 0 a 0 a
0 a c b c b
0 c 0 c 0 c
0 c c 0 c 0
b a 0 c 0 c
b a c 0 c 0
b c 0 a 0 a
b c c b c b
a 0 0 a 0 a
a 0 c b c b
a b 0 c 0 c
a b c 0 c 0
c 0 0 c 0 c
c 0 c 0 c 0
c b 0 a 0 a
c b c b c b
a a 0 0 0 0
a a c c c c
a c 0 b 0 b
a c c a c a
c a 0 b 0 b
c a c a c a
c c 0 0 0 0
c c c c c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 8x3 + 9x4 + 4x5 + 7x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)3 (X_b)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_b)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)4 (X_b)2 + (X_b)2 (X_c)4 + (X_0)3 (X_a)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_b)3 (X_c)3 + (X_0)3 (X_a)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_b)3 (X_c)3 + (X_0)4 (X_a)2 + (X_a)2 (X_c)4 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)3 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)3 (X_c)3 + (X_0)4 (X_c)2 + (X_c)6

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 a 0 0 0
0 0 a 0 a 0
0 0 a 0 b 0
0 0 a 0 c 0
0 0 b 0 0 0
0 0 b 0 a 0
0 0 b 0 b 0
0 0 b 0 c 0
0 0 c 0 0 0
0 0 c 0 a 0
0 0 c 0 b 0
0 0 c 0 c 0

Is it a nice code?: No

Generator Matrix-369

a 0 0 a 0 a
0 a 0 a a 0
b 0 0 b 0 b
0 b 0 b b 0
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b 0 b b 0
0 b c b b 0
b 0 0 b 0 b
b 0 c b 0 b
b b 0 0 b b
b b c 0 b b
0 a 0 a a 0
0 a c a a 0
0 c 0 c c 0
0 c c c c 0
b a 0 c a b
b a c c a b
b c 0 a c b
b c c a c b
a 0 0 a 0 a
a 0 c a 0 a
a b 0 c b a
a b c c b a
c 0 0 c 0 c
c 0 c c 0 c
c b 0 a b c
c b c a b c
a a 0 0 a a
a a c 0 a a
a c 0 b c a
a c c b c a
c a 0 b a c
c a c b a c
c c 0 0 c c
c c c 0 c c

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 0x2 + 6x3 + 9x4 + 9x5 + 6x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_b)3 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_b)3 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_b)4 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)3 (X_c)1 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)3 + (X_0)2 (X_a)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)4 + (X_0)1 (X_a)4 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0

Is it a nice code?: No

Generator Matrix-370

a 0 0 a 0 a
0 a 0 a a 0
b 0 0 b 0 b
0 b 0 b b 0
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b 0 b b 0
0 b c b b c
b 0 0 b 0 b
b 0 c b 0 a
b b 0 0 b b
b b c 0 b a
0 a 0 a a 0
0 a c a a c
0 c 0 c c 0
0 c c c c c
b a 0 c a b
b a c c a a
b c 0 a c b
b c c a c a
a 0 0 a 0 a
a 0 c a 0 b
a b 0 c b a
a b c c b b
c 0 0 c 0 c
c 0 c c 0 0
c b 0 a b c
c b c a b 0
a a 0 0 a a
a a c 0 a b
a c 0 b c a
a c c b c b
c a 0 b a c
c a c b a 0
c c 0 0 c c
c c c 0 c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 7x3 + 6x4 + 13x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)3 (X_a)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0

Is it a nice code?: No

Generator Matrix-371

a 0 0 a 0 a
0 a 0 a a 0
b 0 0 b 0 b
0 b 0 b b 0
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b 0 b b 0
0 b c b a 0
b 0 0 b 0 b
b 0 c b c b
b b 0 0 b b
b b c 0 a b
0 a 0 a a 0
0 a c a b 0
0 c 0 c c 0
0 c c c 0 0
b a 0 c a b
b a c c b b
b c 0 a c b
b c c a 0 b
a 0 0 a 0 a
a 0 c a c a
a b 0 c b a
a b c c a a
c 0 0 c 0 c
c 0 c c c c
c b 0 a b c
c b c a a c
a a 0 0 a a
a a c 0 b a
a c 0 b c a
a c c b 0 a
c a 0 b a c
c a c b b c
c c 0 0 c c
c c c 0 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 7x3 + 6x4 + 13x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_b)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0

Is it a nice code?: No

Generator Matrix-372

a 0 0 a 0 a
0 a 0 a a 0
b 0 0 b 0 b
0 b 0 b b 0
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b 0 b b 0
0 b c b a c
b 0 0 b 0 b
b 0 c b c a
b b 0 0 b b
b b c 0 a a
0 a 0 a a 0
0 a c a b c
0 c 0 c c 0
0 c c c 0 c
b a 0 c a b
b a c c b a
b c 0 a c b
b c c a 0 a
a 0 0 a 0 a
a 0 c a c b
a b 0 c b a
a b c c a b
c 0 0 c 0 c
c 0 c c c 0
c b 0 a b c
c b c a a 0
a a 0 0 a a
a a c 0 b b
a c 0 b c a
a c c b 0 b
c a 0 b a c
c a c b b 0
c c 0 0 c c
c c c 0 0 0

dmin: 3
Weight Enumerator: 1x0 + 0x1 + 0x2 + 8x3 + 5x4 + 16x5 + 2x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0

Is it a nice code?: No

Generator Matrix-373

a 0 0 a 0 a
0 a 0 a a 0
b 0 0 b 0 b
0 b 0 b b 0
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b 0 b b 0
0 b c a b 0
b 0 0 b 0 b
b 0 c a 0 b
b b 0 0 b b
b b c c b b
0 a 0 a a 0
0 a c b a 0
0 c 0 c c 0
0 c c 0 c 0
b a 0 c a b
b a c 0 a b
b c 0 a c b
b c c b c b
a 0 0 a 0 a
a 0 c b 0 a
a b 0 c b a
a b c 0 b a
c 0 0 c 0 c
c 0 c 0 0 c
c b 0 a b c
c b c b b c
a a 0 0 a a
a a c c a a
a c 0 b c a
a c c a c a
c a 0 b a c
c a c a a c
c c 0 0 c c
c c c c c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 8x3 + 7x4 + 8x5 + 7x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_b)4 + (X_b)4 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_b)3 (X_c)3 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_b)3 (X_c)3 + (X_0)2 (X_a)4 + (X_a)4 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)3 (X_c)3 + (X_0)2 (X_c)4 + (X_c)6

Dual Codewords:

0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0

Is it a nice code?: No

Generator Matrix-374

a 0 0 a 0 a
0 a 0 a a 0
b 0 0 b 0 b
0 b 0 b b 0
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b 0 b b 0
0 b c a b c
b 0 0 b 0 b
b 0 c a 0 a
b b 0 0 b b
b b c c b a
0 a 0 a a 0
0 a c b a c
0 c 0 c c 0
0 c c 0 c c
b a 0 c a b
b a c 0 a a
b c 0 a c b
b c c b c a
a 0 0 a 0 a
a 0 c b 0 b
a b 0 c b a
a b c 0 b b
c 0 0 c 0 c
c 0 c 0 0 0
c b 0 a b c
c b c b b 0
a a 0 0 a a
a a c c a b
a c 0 b c a
a c c a c b
c a 0 b a c
c a c a a 0
c c 0 0 c c
c c c c c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 7x3 + 6x4 + 13x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_b)4 + (X_a)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)4 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0

Is it a nice code?: No

Generator Matrix-375

a 0 0 a 0 a
0 a 0 a a 0
b 0 0 b 0 b
0 b 0 b b 0
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b 0 b b 0
0 b c a a 0
b 0 0 b 0 b
b 0 c a c b
b b 0 0 b b
b b c c a b
0 a 0 a a 0
0 a c b b 0
0 c 0 c c 0
0 c c 0 0 0
b a 0 c a b
b a c 0 b b
b c 0 a c b
b c c b 0 b
a 0 0 a 0 a
a 0 c b c a
a b 0 c b a
a b c 0 a a
c 0 0 c 0 c
c 0 c 0 c c
c b 0 a b c
c b c b a c
a a 0 0 a a
a a c c b a
a c 0 b c a
a c c a 0 a
c a 0 b a c
c a c a b c
c c 0 0 c c
c c c c 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 7x3 + 6x4 + 13x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_b)4 + (X_a)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)4 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0

Is it a nice code?: No

Generator Matrix-376

a 0 0 a 0 a
0 a 0 a a 0
b 0 0 b 0 b
0 b 0 b b 0
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b 0 b b 0
0 b c a a c
b 0 0 b 0 b
b 0 c a c a
b b 0 0 b b
b b c c a a
0 a 0 a a 0
0 a c b b c
0 c 0 c c 0
0 c c 0 0 c
b a 0 c a b
b a c 0 b a
b c 0 a c b
b c c b 0 a
a 0 0 a 0 a
a 0 c b c b
a b 0 c b a
a b c 0 a b
c 0 0 c 0 c
c 0 c 0 c 0
c b 0 a b c
c b c b a 0
a a 0 0 a a
a a c c b b
a c 0 b c a
a c c a 0 b
c a 0 b a c
c a c a b 0
c c 0 0 c c
c c c c 0 0

dmin: 3
Weight Enumerator: 1x0 + 0x1 + 0x2 + 8x3 + 5x4 + 16x5 + 2x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)3 (X_b)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_b)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_b)4 + (X_a)2 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0

Is it a nice code?: No

Generator Matrix-377

a 0 0 a 0 a
0 a 0 a a a
b 0 0 b 0 b
0 b 0 b b b
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b 0 b b b
0 b c b b b
b 0 0 b 0 b
b 0 c b 0 b
b b 0 0 b 0
b b c 0 b 0
0 a 0 a a a
0 a c a a a
0 c 0 c c c
0 c c c c c
b a 0 c a c
b a c c a c
b c 0 a c a
b c c a c a
a 0 0 a 0 a
a 0 c a 0 a
a b 0 c b c
a b c c b c
c 0 0 c 0 c
c 0 c c 0 c
c b 0 a b a
c b c a b a
a a 0 0 a 0
a a c 0 a 0
a c 0 b c b
a c c b c b
c a 0 b a b
c a c b a b
c c 0 0 c 0
c c c 0 c 0

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 0x2 + 6x3 + 9x4 + 9x5 + 6x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_b)4 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_b)3 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)4 (X_c)1 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_a)3 + (X_0)2 (X_a)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0

Is it a nice code?: No

Generator Matrix-378

a 0 0 a 0 a
0 a 0 a a a
b 0 0 b 0 b
0 b 0 b b b
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b 0 b b b
0 b c b b a
b 0 0 b 0 b
b 0 c b 0 a
b b 0 0 b 0
b b c 0 b c
0 a 0 a a a
0 a c a a b
0 c 0 c c c
0 c c c c 0
b a 0 c a c
b a c c a 0
b c 0 a c a
b c c a c b
a 0 0 a 0 a
a 0 c a 0 b
a b 0 c b c
a b c c b 0
c 0 0 c 0 c
c 0 c c 0 0
c b 0 a b a
c b c a b b
a a 0 0 a 0
a a c 0 a c
a c 0 b c b
a c c b c a
c a 0 b a b
c a c b a a
c c 0 0 c 0
c c c 0 c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 7x3 + 6x4 + 13x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_b)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0

Is it a nice code?: No

Generator Matrix-379

a 0 0 a 0 a
0 a 0 a a a
b 0 0 b 0 b
0 b 0 b b b
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b 0 b b b
0 b c b a b
b 0 0 b 0 b
b 0 c b c b
b b 0 0 b 0
b b c 0 a 0
0 a 0 a a a
0 a c a b a
0 c 0 c c c
0 c c c 0 c
b a 0 c a c
b a c c b c
b c 0 a c a
b c c a 0 a
a 0 0 a 0 a
a 0 c a c a
a b 0 c b c
a b c c a c
c 0 0 c 0 c
c 0 c c c c
c b 0 a b a
c b c a a a
a a 0 0 a 0
a a c 0 b 0
a c 0 b c b
a c c b 0 b
c a 0 b a b
c a c b b b
c c 0 0 c 0
c c c 0 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 7x3 + 6x4 + 13x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)3 (X_b)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0

Is it a nice code?: No

Generator Matrix-380

a 0 0 a 0 a
0 a 0 a a a
b 0 0 b 0 b
0 b 0 b b b
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b 0 b b b
0 b c b a a
b 0 0 b 0 b
b 0 c b c a
b b 0 0 b 0
b b c 0 a c
0 a 0 a a a
0 a c a b b
0 c 0 c c c
0 c c c 0 0
b a 0 c a c
b a c c b 0
b c 0 a c a
b c c a 0 b
a 0 0 a 0 a
a 0 c a c b
a b 0 c b c
a b c c a 0
c 0 0 c 0 c
c 0 c c c 0
c b 0 a b a
c b c a a b
a a 0 0 a 0
a a c 0 b c
a c 0 b c b
a c c b 0 a
c a 0 b a b
c a c b b a
c c 0 0 c 0
c c c 0 0 c

dmin: 3
Weight Enumerator: 1x0 + 0x1 + 0x2 + 8x3 + 5x4 + 16x5 + 2x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0

Is it a nice code?: No

Generator Matrix-381

a 0 0 a 0 a
0 a 0 a a a
b 0 0 b 0 b
0 b 0 b b b
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b 0 b b b
0 b c a b b
b 0 0 b 0 b
b 0 c a 0 b
b b 0 0 b 0
b b c c b 0
0 a 0 a a a
0 a c b a a
0 c 0 c c c
0 c c 0 c c
b a 0 c a c
b a c 0 a c
b c 0 a c a
b c c b c a
a 0 0 a 0 a
a 0 c b 0 a
a b 0 c b c
a b c 0 b c
c 0 0 c 0 c
c 0 c 0 0 c
c b 0 a b a
c b c b b a
a a 0 0 a 0
a a c c a 0
a c 0 b c b
a c c a c b
c a 0 b a b
c a c a a b
c c 0 0 c 0
c c c c c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 7x3 + 6x4 + 13x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_b)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0

Is it a nice code?: No

Generator Matrix-382

a 0 0 a 0 a
0 a 0 a a a
b 0 0 b 0 b
0 b 0 b b b
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b 0 b b b
0 b c a b a
b 0 0 b 0 b
b 0 c a 0 a
b b 0 0 b 0
b b c c b c
0 a 0 a a a
0 a c b a b
0 c 0 c c c
0 c c 0 c 0
b a 0 c a c
b a c 0 a 0
b c 0 a c a
b c c b c b
a 0 0 a 0 a
a 0 c b 0 b
a b 0 c b c
a b c 0 b 0
c 0 0 c 0 c
c 0 c 0 0 0
c b 0 a b a
c b c b b b
a a 0 0 a 0
a a c c a c
a c 0 b c b
a c c a c a
c a 0 b a b
c a c a a a
c c 0 0 c 0
c c c c c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 8x3 + 7x4 + 8x5 + 7x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_b)3 + (X_b)3 (X_c)3 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_b)3 (X_c)3 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_b)4 (X_c)2 + (X_0)3 (X_a)3 + (X_a)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)4 (X_c)2 + (X_0)3 (X_c)3 + (X_c)6

Dual Codewords:

0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0

Is it a nice code?: No

Generator Matrix-383

a 0 0 a 0 a
0 a 0 a a a
b 0 0 b 0 b
0 b 0 b b b
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b 0 b b b
0 b c a a b
b 0 0 b 0 b
b 0 c a c b
b b 0 0 b 0
b b c c a 0
0 a 0 a a a
0 a c b b a
0 c 0 c c c
0 c c 0 0 c
b a 0 c a c
b a c 0 b c
b c 0 a c a
b c c b 0 a
a 0 0 a 0 a
a 0 c b c a
a b 0 c b c
a b c 0 a c
c 0 0 c 0 c
c 0 c 0 c c
c b 0 a b a
c b c b a a
a a 0 0 a 0
a a c c b 0
a c 0 b c b
a c c a 0 b
c a 0 b a b
c a c a b b
c c 0 0 c 0
c c c c 0 0

dmin: 3
Weight Enumerator: 1x0 + 0x1 + 0x2 + 8x3 + 5x4 + 16x5 + 2x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0

Is it a nice code?: No

Generator Matrix-384

a 0 0 a 0 a
0 a 0 a a a
b 0 0 b 0 b
0 b 0 b b b
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b 0 b b b
0 b c a a a
b 0 0 b 0 b
b 0 c a c a
b b 0 0 b 0
b b c c a c
0 a 0 a a a
0 a c b b b
0 c 0 c c c
0 c c 0 0 0
b a 0 c a c
b a c 0 b 0
b c 0 a c a
b c c b 0 b
a 0 0 a 0 a
a 0 c b c b
a b 0 c b c
a b c 0 a 0
c 0 0 c 0 c
c 0 c 0 c 0
c b 0 a b a
c b c b a b
a a 0 0 a 0
a a c c b c
a c 0 b c b
a c c a 0 a
c a 0 b a b
c a c a b a
c c 0 0 c 0
c c c c 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 7x3 + 6x4 + 13x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)2 (X_b)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)3 (X_b)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_b)3 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0

Is it a nice code?: No

Generator Matrix-385

a 0 0 a a 0
0 a 0 0 0 0
b 0 0 b b 0
0 b 0 0 0 0
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b 0 0 0 0
0 b c 0 0 0
b 0 0 b b 0
b 0 c b b 0
b b 0 b b 0
b b c b b 0
0 a 0 0 0 0
0 a c 0 0 0
0 c 0 0 0 0
0 c c 0 0 0
b a 0 b b 0
b a c b b 0
b c 0 b b 0
b c c b b 0
a 0 0 a a 0
a 0 c a a 0
a b 0 a a 0
a b c a a 0
c 0 0 c c 0
c 0 c c c 0
c b 0 c c 0
c b c c c 0
a a 0 a a 0
a a c a a 0
a c 0 a a 0
a c c a a 0
c a 0 c c 0
c a c c c 0
c c 0 c c 0
c c c c c 0

dmin: 1
Weight Enumerator: 1x0 + 4x1 + 3x2 + 3x3 + 12x4 + 9x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)5 (X_b)1 + (X_0)4 (X_b)1 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_b)3 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_b)4 (X_c)1 + (X_0)5 (X_a)1 + (X_0)4 (X_a)1 (X_c)1 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_b)3 (X_c)1 + (X_0)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)3 (X_c)1 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_b)1 (X_c)3 + (X_0)1 (X_b)1 (X_c)4 + (X_0)2 (X_a)4 + (X_0)1 (X_a)4 (X_c)1 + (X_0)2 (X_a)3 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_0)2 (X_a)1 (X_c)3 + (X_0)1 (X_a)1 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c

Is it a nice code?: No

Generator Matrix-386

a 0 0 a a 0
0 a 0 0 0 0
b 0 0 b b 0
0 b 0 0 0 0
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b 0 0 0 0
0 b c 0 0 c
b 0 0 b b 0
b 0 c b b c
b b 0 b b 0
b b c b b c
0 a 0 0 0 0
0 a c 0 0 c
0 c 0 0 0 0
0 c c 0 0 c
b a 0 b b 0
b a c b b c
b c 0 b b 0
b c c b b c
a 0 0 a a 0
a 0 c a a c
a b 0 a a 0
a b c a a c
c 0 0 c c 0
c 0 c c c c
c b 0 c c 0
c b c c c c
a a 0 a a 0
a a c a a c
a c 0 a a 0
a c c a a c
c a 0 c c 0
c a c c c c
c c 0 c c 0
c c c c c c

dmin: 1
Weight Enumerator: 1x0 + 3x1 + 1x2 + 6x3 + 9x4 + 3x5 + 9x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)5 (X_b)1 + (X_0)3 (X_b)1 (X_c)2 + (X_0)3 (X_b)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)2 (X_b)4 + (X_b)4 (X_c)2 + (X_0)5 (X_a)1 + (X_0)3 (X_a)1 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)2 (X_a)1 (X_b)3 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_b)3 (X_c)1 + (X_b)3 (X_c)3 + (X_0)3 (X_a)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)2 (X_a)3 (X_b)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)2 (X_b)1 (X_c)3 + (X_b)1 (X_c)5 + (X_0)2 (X_a)4 + (X_a)4 (X_c)2 + (X_0)2 (X_a)3 (X_c)1 + (X_a)3 (X_c)3 + (X_0)2 (X_a)1 (X_c)3 + (X_a)1 (X_c)5 + (X_0)2 (X_c)4 + (X_c)6

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c

Is it a nice code?: No

Generator Matrix-387

a 0 0 a a 0
0 a 0 0 0 0
b 0 0 b b 0
0 b 0 0 0 0
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b 0 0 0 0
0 b c 0 c 0
b 0 0 b b 0
b 0 c b a 0
b b 0 b b 0
b b c b a 0
0 a 0 0 0 0
0 a c 0 c 0
0 c 0 0 0 0
0 c c 0 c 0
b a 0 b b 0
b a c b a 0
b c 0 b b 0
b c c b a 0
a 0 0 a a 0
a 0 c a b 0
a b 0 a a 0
a b c a b 0
c 0 0 c c 0
c 0 c c 0 0
c b 0 c c 0
c b c c 0 0
a a 0 a a 0
a a c a b 0
a c 0 a a 0
a c c a b 0
c a 0 c c 0
c a c c 0 0
c c 0 c c 0
c c c c 0 0

dmin: 1
Weight Enumerator: 1x0 + 3x1 + 1x2 + 7x3 + 14x4 + 6x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)5 (X_b)1 + (X_0)3 (X_b)1 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)5 (X_a)1 + (X_0)3 (X_a)1 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_b)1 (X_c)3 + (X_0)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_c)3 + (X_0)2 (X_a)1 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c

Is it a nice code?: No

Generator Matrix-388

a 0 0 a a 0
0 a 0 0 0 0
b 0 0 b b 0
0 b 0 0 0 0
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b 0 0 0 0
0 b c 0 c c
b 0 0 b b 0
b 0 c b a c
b b 0 b b 0
b b c b a c
0 a 0 0 0 0
0 a c 0 c c
0 c 0 0 0 0
0 c c 0 c c
b a 0 b b 0
b a c b a c
b c 0 b b 0
b c c b a c
a 0 0 a a 0
a 0 c a b c
a b 0 a a 0
a b c a b c
c 0 0 c c 0
c 0 c c 0 c
c b 0 c c 0
c b c c 0 c
a a 0 a a 0
a a c a b c
a c 0 a a 0
a c c a b c
c a 0 c c 0
c a c c 0 c
c c 0 c c 0
c c c c 0 c

dmin: 1
Weight Enumerator: 1x0 + 3x1 + 0x2 + 4x3 + 13x4 + 5x5 + 6x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)5 (X_b)1 + (X_0)2 (X_b)1 (X_c)3 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_b)4 + (X_a)1 (X_b)3 (X_c)2 + (X_0)5 (X_a)1 + (X_0)2 (X_a)1 (X_c)3 + (X_0)5 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_a)1 (X_b)3 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_b)3 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)3 (X_b)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_b)1 (X_c)3 + (X_0)1 (X_b)1 (X_c)4 + (X_0)2 (X_a)4 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)3 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_c)3 + (X_0)1 (X_a)1 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c

Is it a nice code?: No

Generator Matrix-389

a 0 0 a a 0
0 a 0 0 0 0
b 0 0 b b 0
0 b 0 0 0 0
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b 0 0 0 0
0 b c c 0 0
b 0 0 b b 0
b 0 c a b 0
b b 0 b b 0
b b c a b 0
0 a 0 0 0 0
0 a c c 0 0
0 c 0 0 0 0
0 c c c 0 0
b a 0 b b 0
b a c a b 0
b c 0 b b 0
b c c a b 0
a 0 0 a a 0
a 0 c b a 0
a b 0 a a 0
a b c b a 0
c 0 0 c c 0
c 0 c 0 c 0
c b 0 c c 0
c b c 0 c 0
a a 0 a a 0
a a c b a 0
a c 0 a a 0
a c c b a 0
c a 0 c c 0
c a c 0 c 0
c c 0 c c 0
c c c 0 c 0

dmin: 1
Weight Enumerator: 1x0 + 3x1 + 1x2 + 7x3 + 14x4 + 6x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)5 (X_b)1 + (X_0)3 (X_b)1 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)5 (X_a)1 + (X_0)3 (X_a)1 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_b)1 (X_c)3 + (X_0)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_c)3 + (X_0)2 (X_a)1 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c

Is it a nice code?: No

Generator Matrix-390

a 0 0 a a 0
0 a 0 0 0 0
b 0 0 b b 0
0 b 0 0 0 0
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b 0 0 0 0
0 b c c 0 c
b 0 0 b b 0
b 0 c a b c
b b 0 b b 0
b b c a b c
0 a 0 0 0 0
0 a c c 0 c
0 c 0 0 0 0
0 c c c 0 c
b a 0 b b 0
b a c a b c
b c 0 b b 0
b c c a b c
a 0 0 a a 0
a 0 c b a c
a b 0 a a 0
a b c b a c
c 0 0 c c 0
c 0 c 0 c c
c b 0 c c 0
c b c 0 c c
a a 0 a a 0
a a c b a c
a c 0 a a 0
a c c b a c
c a 0 c c 0
c a c 0 c c
c c 0 c c 0
c c c 0 c c

dmin: 1
Weight Enumerator: 1x0 + 3x1 + 0x2 + 4x3 + 13x4 + 5x5 + 6x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)5 (X_b)1 + (X_0)2 (X_b)1 (X_c)3 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_b)4 + (X_a)1 (X_b)3 (X_c)2 + (X_0)5 (X_a)1 + (X_0)2 (X_a)1 (X_c)3 + (X_0)5 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_a)1 (X_b)3 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_b)3 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)3 (X_b)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_b)1 (X_c)3 + (X_0)1 (X_b)1 (X_c)4 + (X_0)2 (X_a)4 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)3 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_c)3 + (X_0)1 (X_a)1 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c

Is it a nice code?: No

Generator Matrix-391

a 0 0 a a 0
0 a 0 0 0 0
b 0 0 b b 0
0 b 0 0 0 0
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b 0 0 0 0
0 b c c c 0
b 0 0 b b 0
b 0 c a a 0
b b 0 b b 0
b b c a a 0
0 a 0 0 0 0
0 a c c c 0
0 c 0 0 0 0
0 c c c c 0
b a 0 b b 0
b a c a a 0
b c 0 b b 0
b c c a a 0
a 0 0 a a 0
a 0 c b b 0
a b 0 a a 0
a b c b b 0
c 0 0 c c 0
c 0 c 0 0 0
c b 0 c c 0
c b c 0 0 0
a a 0 a a 0
a a c b b 0
a c 0 a a 0
a c c b b 0
c a 0 c c 0
c a c 0 0 0
c c 0 c c 0
c c c 0 0 0

dmin: 1
Weight Enumerator: 1x0 + 3x1 + 1x2 + 7x3 + 14x4 + 6x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)5 (X_b)1 + (X_0)2 (X_b)1 (X_c)3 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)5 (X_a)1 + (X_0)2 (X_a)1 (X_c)3 + (X_0)5 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_b)1 (X_c)3 + (X_0)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_c)3 + (X_0)3 (X_a)1 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c

Is it a nice code?: No

Generator Matrix-392

a 0 0 a a 0
0 a 0 0 0 0
b 0 0 b b 0
0 b 0 0 0 0
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b 0 0 0 0
0 b c c c c
b 0 0 b b 0
b 0 c a a c
b b 0 b b 0
b b c a a c
0 a 0 0 0 0
0 a c c c c
0 c 0 0 0 0
0 c c c c c
b a 0 b b 0
b a c a a c
b c 0 b b 0
b c c a a c
a 0 0 a a 0
a 0 c b b c
a b 0 a a 0
a b c b b c
c 0 0 c c 0
c 0 c 0 0 c
c b 0 c c 0
c b c 0 0 c
a a 0 a a 0
a a c b b c
a c 0 a a 0
a c c b b c
c a 0 c c 0
c a c 0 0 c
c c 0 c c 0
c c c 0 0 c

dmin: 1
Weight Enumerator: 1x0 + 3x1 + 0x2 + 4x3 + 13x4 + 5x5 + 6x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)5 (X_b)1 + (X_0)1 (X_b)1 (X_c)4 + (X_0)3 (X_b)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_b)4 + (X_a)2 (X_b)2 (X_c)2 + (X_0)5 (X_a)1 + (X_0)1 (X_a)1 (X_c)4 + (X_0)5 (X_c)1 + (X_0)1 (X_c)5 + (X_0)2 (X_a)1 (X_b)3 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_b)3 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_a)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)3 (X_b)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_b)1 (X_c)3 + (X_0)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)4 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)3 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)1 (X_c)3 + (X_0)2 (X_a)1 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c

Is it a nice code?: No

Generator Matrix-393

a 0 0 a a 0
0 a 0 0 0 a
b 0 0 b b 0
0 b 0 0 0 b
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b 0 0 0 b
0 b c 0 0 b
b 0 0 b b 0
b 0 c b b 0
b b 0 b b b
b b c b b b
0 a 0 0 0 a
0 a c 0 0 a
0 c 0 0 0 c
0 c c 0 0 c
b a 0 b b a
b a c b b a
b c 0 b b c
b c c b b c
a 0 0 a a 0
a 0 c a a 0
a b 0 a a b
a b c a a b
c 0 0 c c 0
c 0 c c c 0
c b 0 c c b
c b c c c b
a a 0 a a a
a a c a a a
a c 0 a a c
a c c a a c
c a 0 c c a
c a c c c a
c c 0 c c c
c c c c c c

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 3x2 + 6x3 + 3x4 + 9x5 + 9x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)4 (X_b)2 + (X_0)3 (X_b)2 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_b)3 (X_c)1 + (X_0)1 (X_b)5 + (X_b)5 (X_c)1 + (X_0)4 (X_a)2 + (X_0)3 (X_a)2 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)3 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_b)3 (X_c)2 + (X_b)3 (X_c)3 + (X_0)3 (X_a)3 + (X_0)2 (X_a)3 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_a)3 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_b)2 (X_c)3 + (X_b)2 (X_c)4 + (X_0)1 (X_a)5 + (X_a)5 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_a)3 (X_c)3 + (X_0)1 (X_a)2 (X_c)3 + (X_a)2 (X_c)4 + (X_0)1 (X_c)5 + (X_c)6

Dual Codewords:

0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0

Is it a nice code?: No

Generator Matrix-394

a 0 0 a a 0
0 a 0 0 0 a
b 0 0 b b 0
0 b 0 0 0 b
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b 0 0 0 b
0 b c 0 0 a
b 0 0 b b 0
b 0 c b b c
b b 0 b b b
b b c b b a
0 a 0 0 0 a
0 a c 0 0 b
0 c 0 0 0 c
0 c c 0 0 0
b a 0 b b a
b a c b b b
b c 0 b b c
b c c b b 0
a 0 0 a a 0
a 0 c a a c
a b 0 a a b
a b c a a a
c 0 0 c c 0
c 0 c c c c
c b 0 c c b
c b c c c a
a a 0 a a a
a a c a a b
a c 0 a a c
a c c a a 0
c a 0 c c a
c a c c c b
c c 0 c c c
c c c c c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 5x2 + 5x3 + 0x4 + 15x5 + 6x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_b)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)3 (X_b)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)1 (X_b)5 + (X_a)1 (X_b)4 (X_c)1 + (X_0)4 (X_a)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)1 (X_a)2 (X_b)3 + (X_a)1 (X_b)4 (X_c)1 + (X_0)1 (X_b)3 (X_c)2 + (X_0)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)3 (X_b)2 + (X_a)4 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)1 (X_b)2 (X_c)3 + (X_a)1 (X_b)1 (X_c)4 + (X_0)1 (X_a)5 + (X_a)4 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)2 (X_c)3 + (X_a)1 (X_b)1 (X_c)4 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0

Is it a nice code?: No

Generator Matrix-395

a 0 0 a a 0
0 a 0 0 0 a
b 0 0 b b 0
0 b 0 0 0 b
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b 0 0 0 b
0 b c 0 c b
b 0 0 b b 0
b 0 c b a 0
b b 0 b b b
b b c b a b
0 a 0 0 0 a
0 a c 0 c a
0 c 0 0 0 c
0 c c 0 c c
b a 0 b b a
b a c b a a
b c 0 b b c
b c c b a c
a 0 0 a a 0
a 0 c a b 0
a b 0 a a b
a b c a b b
c 0 0 c c 0
c 0 c c 0 0
c b 0 c c b
c b c c 0 b
a a 0 a a a
a a c a b a
a c 0 a a c
a c c a b c
c a 0 c c a
c a c c 0 a
c c 0 c c c
c c c c 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 4x3 + 5x4 + 12x5 + 6x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_b)5 + (X_a)1 (X_b)4 (X_c)1 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_a)2 (X_b)3 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_b)3 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_a)2 (X_b)3 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_b)2 (X_c)3 + (X_0)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)5 + (X_a)4 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)2 (X_c)3 + (X_0)1 (X_a)2 (X_c)3 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0

Is it a nice code?: No

Generator Matrix-396

a 0 0 a a 0
0 a 0 0 0 a
b 0 0 b b 0
0 b 0 0 0 b
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b 0 0 0 b
0 b c 0 c a
b 0 0 b b 0
b 0 c b a c
b b 0 b b b
b b c b a a
0 a 0 0 0 a
0 a c 0 c b
0 c 0 0 0 c
0 c c 0 c 0
b a 0 b b a
b a c b a b
b c 0 b b c
b c c b a 0
a 0 0 a a 0
a 0 c a b c
a b 0 a a b
a b c a b a
c 0 0 c c 0
c 0 c c 0 c
c b 0 c c b
c b c c 0 a
a a 0 a a a
a a c a b b
a c 0 a a c
a c c a b 0
c a 0 c c a
c a c c 0 b
c c 0 c c c
c c c c 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 5x3 + 4x4 + 15x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_b)5 + (X_a)2 (X_b)3 (X_c)1 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)3 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_b)2 + (X_a)3 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)5 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0

Is it a nice code?: No

Generator Matrix-397

a 0 0 a a 0
0 a 0 0 0 a
b 0 0 b b 0
0 b 0 0 0 b
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b 0 0 0 b
0 b c c 0 b
b 0 0 b b 0
b 0 c a b 0
b b 0 b b b
b b c a b b
0 a 0 0 0 a
0 a c c 0 a
0 c 0 0 0 c
0 c c c 0 c
b a 0 b b a
b a c a b a
b c 0 b b c
b c c a b c
a 0 0 a a 0
a 0 c b a 0
a b 0 a a b
a b c b a b
c 0 0 c c 0
c 0 c 0 c 0
c b 0 c c b
c b c 0 c b
a a 0 a a a
a a c b a a
a c 0 a a c
a c c b a c
c a 0 c c a
c a c 0 c a
c c 0 c c c
c c c 0 c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 4x3 + 5x4 + 12x5 + 6x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_b)5 + (X_a)1 (X_b)4 (X_c)1 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_a)2 (X_b)3 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_b)3 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_a)2 (X_b)3 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_b)2 (X_c)3 + (X_0)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)5 + (X_a)4 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)2 (X_c)3 + (X_0)1 (X_a)2 (X_c)3 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0

Is it a nice code?: No

Generator Matrix-398

a 0 0 a a 0
0 a 0 0 0 a
b 0 0 b b 0
0 b 0 0 0 b
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b 0 0 0 b
0 b c c 0 a
b 0 0 b b 0
b 0 c a b c
b b 0 b b b
b b c a b a
0 a 0 0 0 a
0 a c c 0 b
0 c 0 0 0 c
0 c c c 0 0
b a 0 b b a
b a c a b b
b c 0 b b c
b c c a b 0
a 0 0 a a 0
a 0 c b a c
a b 0 a a b
a b c b a a
c 0 0 c c 0
c 0 c 0 c c
c b 0 c c b
c b c 0 c a
a a 0 a a a
a a c b a b
a c 0 a a c
a c c b a 0
c a 0 c c a
c a c 0 c b
c c 0 c c c
c c c 0 c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 5x3 + 4x4 + 15x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_b)5 + (X_a)2 (X_b)3 (X_c)1 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)3 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_b)2 + (X_a)3 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)5 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0

Is it a nice code?: No

Generator Matrix-399

a 0 0 a a 0
0 a 0 0 0 a
b 0 0 b b 0
0 b 0 0 0 b
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b 0 0 0 b
0 b c c c b
b 0 0 b b 0
b 0 c a a 0
b b 0 b b b
b b c a a b
0 a 0 0 0 a
0 a c c c a
0 c 0 0 0 c
0 c c c c c
b a 0 b b a
b a c a a a
b c 0 b b c
b c c a a c
a 0 0 a a 0
a 0 c b b 0
a b 0 a a b
a b c b b b
c 0 0 c c 0
c 0 c 0 0 0
c b 0 c c b
c b c 0 0 b
a a 0 a a a
a a c b b a
a c 0 a a c
a c c b b c
c a 0 c c a
c a c 0 0 a
c c 0 c c c
c c c 0 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 4x3 + 5x4 + 12x5 + 6x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)4 (X_b)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_b)5 + (X_a)2 (X_b)3 (X_c)1 + (X_0)4 (X_a)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5 + (X_0)1 (X_a)2 (X_b)3 + (X_a)4 (X_b)1 (X_c)1 + (X_0)1 (X_b)3 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_a)1 (X_b)4 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)5 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)2 (X_c)3 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0

Is it a nice code?: No

Generator Matrix-400

a 0 0 a a 0
0 a 0 0 0 a
b 0 0 b b 0
0 b 0 0 0 b
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b 0 0 0 b
0 b c c c a
b 0 0 b b 0
b 0 c a a c
b b 0 b b b
b b c a a a
0 a 0 0 0 a
0 a c c c b
0 c 0 0 0 c
0 c c c c 0
b a 0 b b a
b a c a a b
b c 0 b b c
b c c a a 0
a 0 0 a a 0
a 0 c b b c
a b 0 a a b
a b c b b a
c 0 0 c c 0
c 0 c 0 0 c
c b 0 c c b
c b c 0 0 a
a a 0 a a a
a a c b b b
a c 0 a a c
a c c b b 0
c a 0 c c a
c a c 0 0 b
c c 0 c c c
c c c 0 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 5x3 + 4x4 + 15x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)4 (X_b)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_b)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_b)5 + (X_a)3 (X_b)2 (X_c)1 + (X_0)4 (X_a)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_a)2 (X_b)3 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)3 (X_b)2 + (X_a)2 (X_b)3 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)5 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0

Is it a nice code?: No

Generator Matrix-401

a 0 0 a a 0
0 a 0 0 a 0
b 0 0 b b 0
0 b 0 0 b 0
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b 0 0 b 0
0 b c 0 b 0
b 0 0 b b 0
b 0 c b b 0
b b 0 b 0 0
b b c b 0 0
0 a 0 0 a 0
0 a c 0 a 0
0 c 0 0 c 0
0 c c 0 c 0
b a 0 b c 0
b a c b c 0
b c 0 b a 0
b c c b a 0
a 0 0 a a 0
a 0 c a a 0
a b 0 a c 0
a b c a c 0
c 0 0 c c 0
c 0 c c c 0
c b 0 c a 0
c b c c a 0
a a 0 a 0 0
a a c a 0 0
a c 0 a b 0
a c c a b 0
c a 0 c b 0
c a c c b 0
c c 0 c 0 0
c c c c 0 0

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 3x2 + 9x3 + 12x4 + 6x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)4 (X_b)2 + (X_0)3 (X_b)2 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_b)3 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_b)3 (X_c)1 + (X_0)4 (X_a)2 + (X_0)3 (X_a)2 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)3 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_a)3 + (X_0)2 (X_a)3 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c

Is it a nice code?: No

Generator Matrix-402

a 0 0 a a 0
0 a 0 0 a 0
b 0 0 b b 0
0 b 0 0 b 0
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b 0 0 b 0
0 b c 0 b c
b 0 0 b b 0
b 0 c b b c
b b 0 b 0 0
b b c b 0 c
0 a 0 0 a 0
0 a c 0 a c
0 c 0 0 c 0
0 c c 0 c c
b a 0 b c 0
b a c b c c
b c 0 b a 0
b c c b a c
a 0 0 a a 0
a 0 c a a c
a b 0 a c 0
a b c a c c
c 0 0 c c 0
c 0 c c c c
c b 0 c a 0
c b c c a c
a a 0 a 0 0
a a c a 0 c
a c 0 a b 0
a c c a b c
c a 0 c b 0
c a c c b c
c c 0 c 0 0
c c c c 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 6x3 + 9x4 + 6x5 + 6x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)3 (X_b)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)3 (X_b)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_a)1 (X_b)1 (X_c)4 + (X_0)3 (X_a)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_a)1 (X_b)1 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c

Is it a nice code?: No

Generator Matrix-403

a 0 0 a a 0
0 a 0 0 a 0
b 0 0 b b 0
0 b 0 0 b 0
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b 0 0 b 0
0 b c 0 a 0
b 0 0 b b 0
b 0 c b a 0
b b 0 b 0 0
b b c b c 0
0 a 0 0 a 0
0 a c 0 b 0
0 c 0 0 c 0
0 c c 0 0 0
b a 0 b c 0
b a c b 0 0
b c 0 b a 0
b c c b b 0
a 0 0 a a 0
a 0 c a b 0
a b 0 a c 0
a b c a 0 0
c 0 0 c c 0
c 0 c c 0 0
c b 0 c a 0
c b c c b 0
a a 0 a 0 0
a a c a c 0
a c 0 a b 0
a c c a a 0
c a 0 c b 0
c a c c a 0
c c 0 c 0 0
c c c c c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 5x2 + 9x3 + 10x4 + 7x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_b)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_b)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)4 (X_a)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c

Is it a nice code?: No

Generator Matrix-404

a 0 0 a a 0
0 a 0 0 a 0
b 0 0 b b 0
0 b 0 0 b 0
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b 0 0 b 0
0 b c 0 a c
b 0 0 b b 0
b 0 c b a c
b b 0 b 0 0
b b c b c c
0 a 0 0 a 0
0 a c 0 b c
0 c 0 0 c 0
0 c c 0 0 c
b a 0 b c 0
b a c b 0 c
b c 0 b a 0
b c c b b c
a 0 0 a a 0
a 0 c a b c
a b 0 a c 0
a b c a 0 c
c 0 0 c c 0
c 0 c c 0 c
c b 0 c a 0
c b c c b c
a a 0 a 0 0
a a c a c c
a c 0 a b 0
a c c a a c
c a 0 c b 0
c a c c a c
c c 0 c 0 0
c c c c c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 8x3 + 9x4 + 4x5 + 7x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_b)3 + (X_b)3 (X_c)3 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_b)3 (X_c)3 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_b)2 (X_c)4 + (X_0)3 (X_a)3 + (X_a)3 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)3 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_a)2 (X_c)4 + (X_0)3 (X_c)3 + (X_c)6

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c

Is it a nice code?: No

Generator Matrix-405

a 0 0 a a 0
0 a 0 0 a 0
b 0 0 b b 0
0 b 0 0 b 0
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b 0 0 b 0
0 b c c b 0
b 0 0 b b 0
b 0 c a b 0
b b 0 b 0 0
b b c a 0 0
0 a 0 0 a 0
0 a c c a 0
0 c 0 0 c 0
0 c c c c 0
b a 0 b c 0
b a c a c 0
b c 0 b a 0
b c c a a 0
a 0 0 a a 0
a 0 c b a 0
a b 0 a c 0
a b c b c 0
c 0 0 c c 0
c 0 c 0 c 0
c b 0 c a 0
c b c 0 a 0
a a 0 a 0 0
a a c b 0 0
a c 0 a b 0
a c c b b 0
c a 0 c b 0
c a c 0 b 0
c c 0 c 0 0
c c c 0 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 8x3 + 15x4 + 4x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c

Is it a nice code?: No

Generator Matrix-406

a 0 0 a a 0
0 a 0 0 a 0
b 0 0 b b 0
0 b 0 0 b 0
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b 0 0 b 0
0 b c c b c
b 0 0 b b 0
b 0 c a b c
b b 0 b 0 0
b b c a 0 c
0 a 0 0 a 0
0 a c c a c
0 c 0 0 c 0
0 c c c c c
b a 0 b c 0
b a c a c c
b c 0 b a 0
b c c a a c
a 0 0 a a 0
a 0 c b a c
a b 0 a c 0
a b c b c c
c 0 0 c c 0
c 0 c 0 c c
c b 0 c a 0
c b c 0 a c
a a 0 a 0 0
a a c b 0 c
a c 0 a b 0
a c c b b c
c a 0 c b 0
c a c 0 b c
c c 0 c 0 0
c c c 0 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 7x3 + 8x4 + 9x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)4 (X_b)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)4 (X_a)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c

Is it a nice code?: No

Generator Matrix-407

a 0 0 a a 0
0 a 0 0 a 0
b 0 0 b b 0
0 b 0 0 b 0
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b 0 0 b 0
0 b c c a 0
b 0 0 b b 0
b 0 c a a 0
b b 0 b 0 0
b b c a c 0
0 a 0 0 a 0
0 a c c b 0
0 c 0 0 c 0
0 c c c 0 0
b a 0 b c 0
b a c a 0 0
b c 0 b a 0
b c c a b 0
a 0 0 a a 0
a 0 c b b 0
a b 0 a c 0
a b c b 0 0
c 0 0 c c 0
c 0 c 0 0 0
c b 0 c a 0
c b c 0 b 0
a a 0 a 0 0
a a c b c 0
a c 0 a b 0
a c c b a 0
c a 0 c b 0
c a c 0 a 0
c c 0 c 0 0
c c c 0 c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 8x3 + 15x4 + 4x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c

Is it a nice code?: No

Generator Matrix-408

a 0 0 a a 0
0 a 0 0 a 0
b 0 0 b b 0
0 b 0 0 b 0
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b 0 0 b 0
0 b c c a c
b 0 0 b b 0
b 0 c a a c
b b 0 b 0 0
b b c a c c
0 a 0 0 a 0
0 a c c b c
0 c 0 0 c 0
0 c c c 0 c
b a 0 b c 0
b a c a 0 c
b c 0 b a 0
b c c a b c
a 0 0 a a 0
a 0 c b b c
a b 0 a c 0
a b c b 0 c
c 0 0 c c 0
c 0 c 0 0 c
c b 0 c a 0
c b c 0 b c
a a 0 a 0 0
a a c b c c
a c 0 a b 0
a c c b a c
c a 0 c b 0
c a c 0 a c
c c 0 c 0 0
c c c 0 c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 7x3 + 8x4 + 9x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)4 (X_b)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_b)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_b)3 + (X_a)1 (X_b)2 (X_c)3 + (X_0)4 (X_a)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)3 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c

Is it a nice code?: No

Generator Matrix-409

a 0 0 a a 0
0 a 0 0 a a
b 0 0 b b 0
0 b 0 0 b b
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b 0 0 b b
0 b c 0 b b
b 0 0 b b 0
b 0 c b b 0
b b 0 b 0 b
b b c b 0 b
0 a 0 0 a a
0 a c 0 a a
0 c 0 0 c c
0 c c 0 c c
b a 0 b c a
b a c b c a
b c 0 b a c
b c c b a c
a 0 0 a a 0
a 0 c a a 0
a b 0 a c b
a b c a c b
c 0 0 c c 0
c 0 c c c 0
c b 0 c a b
c b c c a b
a a 0 a 0 a
a a c a 0 a
a c 0 a b c
a c c a b c
c a 0 c b a
c a c c b a
c c 0 c 0 c
c c c c 0 c

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 0x2 + 6x3 + 9x4 + 9x5 + 6x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_b)3 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_b)3 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_b)4 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)3 (X_c)1 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)3 + (X_0)2 (X_a)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)4 + (X_0)1 (X_a)4 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0

Is it a nice code?: No

Generator Matrix-410

a 0 0 a a 0
0 a 0 0 a a
b 0 0 b b 0
0 b 0 0 b b
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b 0 0 b b
0 b c 0 b a
b 0 0 b b 0
b 0 c b b c
b b 0 b 0 b
b b c b 0 a
0 a 0 0 a a
0 a c 0 a b
0 c 0 0 c c
0 c c 0 c 0
b a 0 b c a
b a c b c b
b c 0 b a c
b c c b a 0
a 0 0 a a 0
a 0 c a a c
a b 0 a c b
a b c a c a
c 0 0 c c 0
c 0 c c c c
c b 0 c a b
c b c c a a
a a 0 a 0 a
a a c a 0 b
a c 0 a b c
a c c a b 0
c a 0 c b a
c a c c b b
c c 0 c 0 c
c c c c 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 7x3 + 6x4 + 13x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_b)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0

Is it a nice code?: No

Generator Matrix-411

a 0 0 a a 0
0 a 0 0 a a
b 0 0 b b 0
0 b 0 0 b b
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b 0 0 b b
0 b c 0 a b
b 0 0 b b 0
b 0 c b a 0
b b 0 b 0 b
b b c b c b
0 a 0 0 a a
0 a c 0 b a
0 c 0 0 c c
0 c c 0 0 c
b a 0 b c a
b a c b 0 a
b c 0 b a c
b c c b b c
a 0 0 a a 0
a 0 c a b 0
a b 0 a c b
a b c a 0 b
c 0 0 c c 0
c 0 c c 0 0
c b 0 c a b
c b c c b b
a a 0 a 0 a
a a c a c a
a c 0 a b c
a c c a a c
c a 0 c b a
c a c c a a
c c 0 c 0 c
c c c c c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 8x3 + 7x4 + 8x5 + 7x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_b)4 + (X_b)4 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_b)3 (X_c)3 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_b)3 (X_c)3 + (X_0)2 (X_a)4 + (X_a)4 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)3 (X_c)3 + (X_0)2 (X_c)4 + (X_c)6

Dual Codewords:

0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0

Is it a nice code?: No

Generator Matrix-412

a 0 0 a a 0
0 a 0 0 a a
b 0 0 b b 0
0 b 0 0 b b
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b 0 0 b b
0 b c 0 a a
b 0 0 b b 0
b 0 c b a c
b b 0 b 0 b
b b c b c a
0 a 0 0 a a
0 a c 0 b b
0 c 0 0 c c
0 c c 0 0 0
b a 0 b c a
b a c b 0 b
b c 0 b a c
b c c b b 0
a 0 0 a a 0
a 0 c a b c
a b 0 a c b
a b c a 0 a
c 0 0 c c 0
c 0 c c 0 c
c b 0 c a b
c b c c b a
a a 0 a 0 a
a a c a c b
a c 0 a b c
a c c a a 0
c a 0 c b a
c a c c a b
c c 0 c 0 c
c c c c c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 7x3 + 6x4 + 13x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_b)4 + (X_a)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)4 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0

Is it a nice code?: No

Generator Matrix-413

a 0 0 a a 0
0 a 0 0 a a
b 0 0 b b 0
0 b 0 0 b b
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b 0 0 b b
0 b c c b b
b 0 0 b b 0
b 0 c a b 0
b b 0 b 0 b
b b c a 0 b
0 a 0 0 a a
0 a c c a a
0 c 0 0 c c
0 c c c c c
b a 0 b c a
b a c a c a
b c 0 b a c
b c c a a c
a 0 0 a a 0
a 0 c b a 0
a b 0 a c b
a b c b c b
c 0 0 c c 0
c 0 c 0 c 0
c b 0 c a b
c b c 0 a b
a a 0 a 0 a
a a c b 0 a
a c 0 a b c
a c c b b c
c a 0 c b a
c a c 0 b a
c c 0 c 0 c
c c c 0 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 7x3 + 6x4 + 13x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)3 (X_a)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0

Is it a nice code?: No

Generator Matrix-414

a 0 0 a a 0
0 a 0 0 a a
b 0 0 b b 0
0 b 0 0 b b
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b 0 0 b b
0 b c c b a
b 0 0 b b 0
b 0 c a b c
b b 0 b 0 b
b b c a 0 a
0 a 0 0 a a
0 a c c a b
0 c 0 0 c c
0 c c c c 0
b a 0 b c a
b a c a c b
b c 0 b a c
b c c a a 0
a 0 0 a a 0
a 0 c b a c
a b 0 a c b
a b c b c a
c 0 0 c c 0
c 0 c 0 c c
c b 0 c a b
c b c 0 a a
a a 0 a 0 a
a a c b 0 b
a c 0 a b c
a c c b b 0
c a 0 c b a
c a c 0 b b
c c 0 c 0 c
c c c 0 0 0

dmin: 3
Weight Enumerator: 1x0 + 0x1 + 0x2 + 8x3 + 5x4 + 16x5 + 2x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0

Is it a nice code?: No

Generator Matrix-415

a 0 0 a a 0
0 a 0 0 a a
b 0 0 b b 0
0 b 0 0 b b
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b 0 0 b b
0 b c c a b
b 0 0 b b 0
b 0 c a a 0
b b 0 b 0 b
b b c a c b
0 a 0 0 a a
0 a c c b a
0 c 0 0 c c
0 c c c 0 c
b a 0 b c a
b a c a 0 a
b c 0 b a c
b c c a b c
a 0 0 a a 0
a 0 c b b 0
a b 0 a c b
a b c b 0 b
c 0 0 c c 0
c 0 c 0 0 0
c b 0 c a b
c b c 0 b b
a a 0 a 0 a
a a c b c a
a c 0 a b c
a c c b a c
c a 0 c b a
c a c 0 a a
c c 0 c 0 c
c c c 0 c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 7x3 + 6x4 + 13x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_b)4 + (X_a)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)4 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0

Is it a nice code?: No

Generator Matrix-416

a 0 0 a a 0
0 a 0 0 a a
b 0 0 b b 0
0 b 0 0 b b
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b 0 0 b b
0 b c c a a
b 0 0 b b 0
b 0 c a a c
b b 0 b 0 b
b b c a c a
0 a 0 0 a a
0 a c c b b
0 c 0 0 c c
0 c c c 0 0
b a 0 b c a
b a c a 0 b
b c 0 b a c
b c c a b 0
a 0 0 a a 0
a 0 c b b c
a b 0 a c b
a b c b 0 a
c 0 0 c c 0
c 0 c 0 0 c
c b 0 c a b
c b c 0 b a
a a 0 a 0 a
a a c b c b
a c 0 a b c
a c c b a 0
c a 0 c b a
c a c 0 a b
c c 0 c 0 c
c c c 0 c 0

dmin: 3
Weight Enumerator: 1x0 + 0x1 + 0x2 + 8x3 + 5x4 + 16x5 + 2x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)3 (X_b)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_b)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_b)4 + (X_a)2 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0

Is it a nice code?: No

Generator Matrix-417

a 0 0 a a 0
0 a 0 a 0 0
b 0 0 b b 0
0 b 0 b 0 0
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b 0 b 0 0
0 b c b 0 0
b 0 0 b b 0
b 0 c b b 0
b b 0 0 b 0
b b c 0 b 0
0 a 0 a 0 0
0 a c a 0 0
0 c 0 c 0 0
0 c c c 0 0
b a 0 c b 0
b a c c b 0
b c 0 a b 0
b c c a b 0
a 0 0 a a 0
a 0 c a a 0
a b 0 c a 0
a b c c a 0
c 0 0 c c 0
c 0 c c c 0
c b 0 a c 0
c b c a c 0
a a 0 0 a 0
a a c 0 a 0
a c 0 b a 0
a c c b a 0
c a 0 b c 0
c a c b c 0
c c 0 0 c 0
c c c 0 c 0

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 3x2 + 9x3 + 12x4 + 6x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)4 (X_b)2 + (X_0)3 (X_b)2 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_b)3 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_b)3 (X_c)1 + (X_0)4 (X_a)2 + (X_0)3 (X_a)2 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)3 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_a)3 + (X_0)2 (X_a)3 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c

Is it a nice code?: No

Generator Matrix-418

a 0 0 a a 0
0 a 0 a 0 0
b 0 0 b b 0
0 b 0 b 0 0
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b 0 b 0 0
0 b c b 0 c
b 0 0 b b 0
b 0 c b b c
b b 0 0 b 0
b b c 0 b c
0 a 0 a 0 0
0 a c a 0 c
0 c 0 c 0 0
0 c c c 0 c
b a 0 c b 0
b a c c b c
b c 0 a b 0
b c c a b c
a 0 0 a a 0
a 0 c a a c
a b 0 c a 0
a b c c a c
c 0 0 c c 0
c 0 c c c c
c b 0 a c 0
c b c a c c
a a 0 0 a 0
a a c 0 a c
a c 0 b a 0
a c c b a c
c a 0 b c 0
c a c b c c
c c 0 0 c 0
c c c 0 c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 6x3 + 9x4 + 6x5 + 6x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)3 (X_b)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)3 (X_b)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_a)1 (X_b)1 (X_c)4 + (X_0)3 (X_a)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_a)1 (X_b)1 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c

Is it a nice code?: No

Generator Matrix-419

a 0 0 a a 0
0 a 0 a 0 0
b 0 0 b b 0
0 b 0 b 0 0
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b 0 b 0 0
0 b c b c 0
b 0 0 b b 0
b 0 c b a 0
b b 0 0 b 0
b b c 0 a 0
0 a 0 a 0 0
0 a c a c 0
0 c 0 c 0 0
0 c c c c 0
b a 0 c b 0
b a c c a 0
b c 0 a b 0
b c c a a 0
a 0 0 a a 0
a 0 c a b 0
a b 0 c a 0
a b c c b 0
c 0 0 c c 0
c 0 c c 0 0
c b 0 a c 0
c b c a 0 0
a a 0 0 a 0
a a c 0 b 0
a c 0 b a 0
a c c b b 0
c a 0 b c 0
c a c b 0 0
c c 0 0 c 0
c c c 0 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 8x3 + 15x4 + 4x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c

Is it a nice code?: No

Generator Matrix-420

a 0 0 a a 0
0 a 0 a 0 0
b 0 0 b b 0
0 b 0 b 0 0
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b 0 b 0 0
0 b c b c c
b 0 0 b b 0
b 0 c b a c
b b 0 0 b 0
b b c 0 a c
0 a 0 a 0 0
0 a c a c c
0 c 0 c 0 0
0 c c c c c
b a 0 c b 0
b a c c a c
b c 0 a b 0
b c c a a c
a 0 0 a a 0
a 0 c a b c
a b 0 c a 0
a b c c b c
c 0 0 c c 0
c 0 c c 0 c
c b 0 a c 0
c b c a 0 c
a a 0 0 a 0
a a c 0 b c
a c 0 b a 0
a c c b b c
c a 0 b c 0
c a c b 0 c
c c 0 0 c 0
c c c 0 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 7x3 + 8x4 + 9x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)4 (X_b)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)4 (X_a)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c

Is it a nice code?: No

Generator Matrix-421

a 0 0 a a 0
0 a 0 a 0 0
b 0 0 b b 0
0 b 0 b 0 0
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b 0 b 0 0
0 b c a 0 0
b 0 0 b b 0
b 0 c a b 0
b b 0 0 b 0
b b c c b 0
0 a 0 a 0 0
0 a c b 0 0
0 c 0 c 0 0
0 c c 0 0 0
b a 0 c b 0
b a c 0 b 0
b c 0 a b 0
b c c b b 0
a 0 0 a a 0
a 0 c b a 0
a b 0 c a 0
a b c 0 a 0
c 0 0 c c 0
c 0 c 0 c 0
c b 0 a c 0
c b c b c 0
a a 0 0 a 0
a a c c a 0
a c 0 b a 0
a c c a a 0
c a 0 b c 0
c a c a c 0
c c 0 0 c 0
c c c c c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 5x2 + 9x3 + 10x4 + 7x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_b)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_b)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)4 (X_a)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c

Is it a nice code?: No

Generator Matrix-422

a 0 0 a a 0
0 a 0 a 0 0
b 0 0 b b 0
0 b 0 b 0 0
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b 0 b 0 0
0 b c a 0 c
b 0 0 b b 0
b 0 c a b c
b b 0 0 b 0
b b c c b c
0 a 0 a 0 0
0 a c b 0 c
0 c 0 c 0 0
0 c c 0 0 c
b a 0 c b 0
b a c 0 b c
b c 0 a b 0
b c c b b c
a 0 0 a a 0
a 0 c b a c
a b 0 c a 0
a b c 0 a c
c 0 0 c c 0
c 0 c 0 c c
c b 0 a c 0
c b c b c c
a a 0 0 a 0
a a c c a c
a c 0 b a 0
a c c a a c
c a 0 b c 0
c a c a c c
c c 0 0 c 0
c c c c c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 8x3 + 9x4 + 4x5 + 7x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_b)3 + (X_b)3 (X_c)3 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_b)3 (X_c)3 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_b)2 (X_c)4 + (X_0)3 (X_a)3 + (X_a)3 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)3 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_a)2 (X_c)4 + (X_0)3 (X_c)3 + (X_c)6

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c

Is it a nice code?: No

Generator Matrix-423

a 0 0 a a 0
0 a 0 a 0 0
b 0 0 b b 0
0 b 0 b 0 0
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b 0 b 0 0
0 b c a c 0
b 0 0 b b 0
b 0 c a a 0
b b 0 0 b 0
b b c c a 0
0 a 0 a 0 0
0 a c b c 0
0 c 0 c 0 0
0 c c 0 c 0
b a 0 c b 0
b a c 0 a 0
b c 0 a b 0
b c c b a 0
a 0 0 a a 0
a 0 c b b 0
a b 0 c a 0
a b c 0 b 0
c 0 0 c c 0
c 0 c 0 0 0
c b 0 a c 0
c b c b 0 0
a a 0 0 a 0
a a c c b 0
a c 0 b a 0
a c c a b 0
c a 0 b c 0
c a c a 0 0
c c 0 0 c 0
c c c c 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 8x3 + 15x4 + 4x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c

Is it a nice code?: No

Generator Matrix-424

a 0 0 a a 0
0 a 0 a 0 0
b 0 0 b b 0
0 b 0 b 0 0
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b 0 b 0 0
0 b c a c c
b 0 0 b b 0
b 0 c a a c
b b 0 0 b 0
b b c c a c
0 a 0 a 0 0
0 a c b c c
0 c 0 c 0 0
0 c c 0 c c
b a 0 c b 0
b a c 0 a c
b c 0 a b 0
b c c b a c
a 0 0 a a 0
a 0 c b b c
a b 0 c a 0
a b c 0 b c
c 0 0 c c 0
c 0 c 0 0 c
c b 0 a c 0
c b c b 0 c
a a 0 0 a 0
a a c c b c
a c 0 b a 0
a c c a b c
c a 0 b c 0
c a c a 0 c
c c 0 0 c 0
c c c c 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 7x3 + 8x4 + 9x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)4 (X_b)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_b)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_b)3 + (X_a)1 (X_b)2 (X_c)3 + (X_0)4 (X_a)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)3 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c

Is it a nice code?: No

Generator Matrix-425

a 0 0 a a 0
0 a 0 a 0 a
b 0 0 b b 0
0 b 0 b 0 b
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b 0 b 0 b
0 b c b 0 b
b 0 0 b b 0
b 0 c b b 0
b b 0 0 b b
b b c 0 b b
0 a 0 a 0 a
0 a c a 0 a
0 c 0 c 0 c
0 c c c 0 c
b a 0 c b a
b a c c b a
b c 0 a b c
b c c a b c
a 0 0 a a 0
a 0 c a a 0
a b 0 c a b
a b c c a b
c 0 0 c c 0
c 0 c c c 0
c b 0 a c b
c b c a c b
a a 0 0 a a
a a c 0 a a
a c 0 b a c
a c c b a c
c a 0 b c a
c a c b c a
c c 0 0 c c
c c c 0 c c

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 0x2 + 6x3 + 9x4 + 9x5 + 6x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_b)3 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_b)3 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_b)4 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)3 (X_c)1 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)3 + (X_0)2 (X_a)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)4 + (X_0)1 (X_a)4 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0

Is it a nice code?: No

Generator Matrix-426

a 0 0 a a 0
0 a 0 a 0 a
b 0 0 b b 0
0 b 0 b 0 b
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b 0 b 0 b
0 b c b 0 a
b 0 0 b b 0
b 0 c b b c
b b 0 0 b b
b b c 0 b a
0 a 0 a 0 a
0 a c a 0 b
0 c 0 c 0 c
0 c c c 0 0
b a 0 c b a
b a c c b b
b c 0 a b c
b c c a b 0
a 0 0 a a 0
a 0 c a a c
a b 0 c a b
a b c c a a
c 0 0 c c 0
c 0 c c c c
c b 0 a c b
c b c a c a
a a 0 0 a a
a a c 0 a b
a c 0 b a c
a c c b a 0
c a 0 b c a
c a c b c b
c c 0 0 c c
c c c 0 c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 7x3 + 6x4 + 13x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_b)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0

Is it a nice code?: No

Generator Matrix-427

a 0 0 a a 0
0 a 0 a 0 a
b 0 0 b b 0
0 b 0 b 0 b
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b 0 b 0 b
0 b c b c b
b 0 0 b b 0
b 0 c b a 0
b b 0 0 b b
b b c 0 a b
0 a 0 a 0 a
0 a c a c a
0 c 0 c 0 c
0 c c c c c
b a 0 c b a
b a c c a a
b c 0 a b c
b c c a a c
a 0 0 a a 0
a 0 c a b 0
a b 0 c a b
a b c c b b
c 0 0 c c 0
c 0 c c 0 0
c b 0 a c b
c b c a 0 b
a a 0 0 a a
a a c 0 b a
a c 0 b a c
a c c b b c
c a 0 b c a
c a c b 0 a
c c 0 0 c c
c c c 0 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 7x3 + 6x4 + 13x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)3 (X_a)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0

Is it a nice code?: No

Generator Matrix-428

a 0 0 a a 0
0 a 0 a 0 a
b 0 0 b b 0
0 b 0 b 0 b
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b 0 b 0 b
0 b c b c a
b 0 0 b b 0
b 0 c b a c
b b 0 0 b b
b b c 0 a a
0 a 0 a 0 a
0 a c a c b
0 c 0 c 0 c
0 c c c c 0
b a 0 c b a
b a c c a b
b c 0 a b c
b c c a a 0
a 0 0 a a 0
a 0 c a b c
a b 0 c a b
a b c c b a
c 0 0 c c 0
c 0 c c 0 c
c b 0 a c b
c b c a 0 a
a a 0 0 a a
a a c 0 b b
a c 0 b a c
a c c b b 0
c a 0 b c a
c a c b 0 b
c c 0 0 c c
c c c 0 0 0

dmin: 3
Weight Enumerator: 1x0 + 0x1 + 0x2 + 8x3 + 5x4 + 16x5 + 2x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0

Is it a nice code?: No

Generator Matrix-429

a 0 0 a a 0
0 a 0 a 0 a
b 0 0 b b 0
0 b 0 b 0 b
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b 0 b 0 b
0 b c a 0 b
b 0 0 b b 0
b 0 c a b 0
b b 0 0 b b
b b c c b b
0 a 0 a 0 a
0 a c b 0 a
0 c 0 c 0 c
0 c c 0 0 c
b a 0 c b a
b a c 0 b a
b c 0 a b c
b c c b b c
a 0 0 a a 0
a 0 c b a 0
a b 0 c a b
a b c 0 a b
c 0 0 c c 0
c 0 c 0 c 0
c b 0 a c b
c b c b c b
a a 0 0 a a
a a c c a a
a c 0 b a c
a c c a a c
c a 0 b c a
c a c a c a
c c 0 0 c c
c c c c c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 8x3 + 7x4 + 8x5 + 7x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_b)4 + (X_b)4 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_b)3 (X_c)3 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_b)3 (X_c)3 + (X_0)2 (X_a)4 + (X_a)4 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)3 (X_c)3 + (X_0)2 (X_c)4 + (X_c)6

Dual Codewords:

0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0

Is it a nice code?: No

Generator Matrix-430

a 0 0 a a 0
0 a 0 a 0 a
b 0 0 b b 0
0 b 0 b 0 b
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b 0 b 0 b
0 b c a 0 a
b 0 0 b b 0
b 0 c a b c
b b 0 0 b b
b b c c b a
0 a 0 a 0 a
0 a c b 0 b
0 c 0 c 0 c
0 c c 0 0 0
b a 0 c b a
b a c 0 b b
b c 0 a b c
b c c b b 0
a 0 0 a a 0
a 0 c b a c
a b 0 c a b
a b c 0 a a
c 0 0 c c 0
c 0 c 0 c c
c b 0 a c b
c b c b c a
a a 0 0 a a
a a c c a b
a c 0 b a c
a c c a a 0
c a 0 b c a
c a c a c b
c c 0 0 c c
c c c c c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 7x3 + 6x4 + 13x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_b)4 + (X_a)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)4 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0

Is it a nice code?: No

Generator Matrix-431

a 0 0 a a 0
0 a 0 a 0 a
b 0 0 b b 0
0 b 0 b 0 b
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b 0 b 0 b
0 b c a c b
b 0 0 b b 0
b 0 c a a 0
b b 0 0 b b
b b c c a b
0 a 0 a 0 a
0 a c b c a
0 c 0 c 0 c
0 c c 0 c c
b a 0 c b a
b a c 0 a a
b c 0 a b c
b c c b a c
a 0 0 a a 0
a 0 c b b 0
a b 0 c a b
a b c 0 b b
c 0 0 c c 0
c 0 c 0 0 0
c b 0 a c b
c b c b 0 b
a a 0 0 a a
a a c c b a
a c 0 b a c
a c c a b c
c a 0 b c a
c a c a 0 a
c c 0 0 c c
c c c c 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 7x3 + 6x4 + 13x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_b)4 + (X_a)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)4 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0

Is it a nice code?: No

Generator Matrix-432

a 0 0 a a 0
0 a 0 a 0 a
b 0 0 b b 0
0 b 0 b 0 b
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b 0 b 0 b
0 b c a c a
b 0 0 b b 0
b 0 c a a c
b b 0 0 b b
b b c c a a
0 a 0 a 0 a
0 a c b c b
0 c 0 c 0 c
0 c c 0 c 0
b a 0 c b a
b a c 0 a b
b c 0 a b c
b c c b a 0
a 0 0 a a 0
a 0 c b b c
a b 0 c a b
a b c 0 b a
c 0 0 c c 0
c 0 c 0 0 c
c b 0 a c b
c b c b 0 a
a a 0 0 a a
a a c c b b
a c 0 b a c
a c c a b 0
c a 0 b c a
c a c a 0 b
c c 0 0 c c
c c c c 0 0

dmin: 3
Weight Enumerator: 1x0 + 0x1 + 0x2 + 8x3 + 5x4 + 16x5 + 2x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)3 (X_b)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_b)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_b)4 + (X_a)2 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0

Is it a nice code?: No

Generator Matrix-433

a 0 0 a a 0
0 a 0 a a 0
b 0 0 b b 0
0 b 0 b b 0
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b 0 b b 0
0 b c b b 0
b 0 0 b b 0
b 0 c b b 0
b b 0 0 0 0
b b c 0 0 0
0 a 0 a a 0
0 a c a a 0
0 c 0 c c 0
0 c c c c 0
b a 0 c c 0
b a c c c 0
b c 0 a a 0
b c c a a 0
a 0 0 a a 0
a 0 c a a 0
a b 0 c c 0
a b c c c 0
c 0 0 c c 0
c 0 c c c 0
c b 0 a a 0
c b c a a 0
a a 0 0 0 0
a a c 0 0 0
a c 0 b b 0
a c c b b 0
c a 0 b b 0
c a c b b 0
c c 0 0 0 0
c c c 0 0 0

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 3x2 + 9x3 + 12x4 + 6x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_b)3 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_b)3 (X_c)1 + (X_0)4 (X_b)2 + (X_0)3 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)3 (X_c)1 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)3 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)4 (X_a)2 + (X_0)3 (X_a)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c

Is it a nice code?: No

Generator Matrix-434

a 0 0 a a 0
0 a 0 a a 0
b 0 0 b b 0
0 b 0 b b 0
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b 0 b b 0
0 b c b b c
b 0 0 b b 0
b 0 c b b c
b b 0 0 0 0
b b c 0 0 c
0 a 0 a a 0
0 a c a a c
0 c 0 c c 0
0 c c c c c
b a 0 c c 0
b a c c c c
b c 0 a a 0
b c c a a c
a 0 0 a a 0
a 0 c a a c
a b 0 c c 0
a b c c c c
c 0 0 c c 0
c 0 c c c c
c b 0 a a 0
c b c a a c
a a 0 0 0 0
a a c 0 0 c
a c 0 b b 0
a c c b b c
c a 0 b b 0
c a c b b c
c c 0 0 0 0
c c c 0 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 6x3 + 9x4 + 6x5 + 6x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)3 (X_b)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_a)1 (X_b)1 (X_c)4 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_a)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_a)1 (X_b)1 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c

Is it a nice code?: No

Generator Matrix-435

a 0 0 a a 0
0 a 0 a a 0
b 0 0 b b 0
0 b 0 b b 0
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b 0 b b 0
0 b c b a 0
b 0 0 b b 0
b 0 c b a 0
b b 0 0 0 0
b b c 0 c 0
0 a 0 a a 0
0 a c a b 0
0 c 0 c c 0
0 c c c 0 0
b a 0 c c 0
b a c c 0 0
b c 0 a a 0
b c c a b 0
a 0 0 a a 0
a 0 c a b 0
a b 0 c c 0
a b c c 0 0
c 0 0 c c 0
c 0 c c 0 0
c b 0 a a 0
c b c a b 0
a a 0 0 0 0
a a c 0 c 0
a c 0 b b 0
a c c b a 0
c a 0 b b 0
c a c b a 0
c c 0 0 0 0
c c c 0 c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 8x3 + 15x4 + 4x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c

Is it a nice code?: No

Generator Matrix-436

a 0 0 a a 0
0 a 0 a a 0
b 0 0 b b 0
0 b 0 b b 0
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b 0 b b 0
0 b c b a c
b 0 0 b b 0
b 0 c b a c
b b 0 0 0 0
b b c 0 c c
0 a 0 a a 0
0 a c a b c
0 c 0 c c 0
0 c c c 0 c
b a 0 c c 0
b a c c 0 c
b c 0 a a 0
b c c a b c
a 0 0 a a 0
a 0 c a b c
a b 0 c c 0
a b c c 0 c
c 0 0 c c 0
c 0 c c 0 c
c b 0 a a 0
c b c a b c
a a 0 0 0 0
a a c 0 c c
a c 0 b b 0
a c c b a c
c a 0 b b 0
c a c b a c
c c 0 0 0 0
c c c 0 c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 7x3 + 8x4 + 9x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)4 (X_b)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)4 (X_a)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c

Is it a nice code?: No

Generator Matrix-437

a 0 0 a a 0
0 a 0 a a 0
b 0 0 b b 0
0 b 0 b b 0
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b 0 b b 0
0 b c a b 0
b 0 0 b b 0
b 0 c a b 0
b b 0 0 0 0
b b c c 0 0
0 a 0 a a 0
0 a c b a 0
0 c 0 c c 0
0 c c 0 c 0
b a 0 c c 0
b a c 0 c 0
b c 0 a a 0
b c c b a 0
a 0 0 a a 0
a 0 c b a 0
a b 0 c c 0
a b c 0 c 0
c 0 0 c c 0
c 0 c 0 c 0
c b 0 a a 0
c b c b a 0
a a 0 0 0 0
a a c c 0 0
a c 0 b b 0
a c c a b 0
c a 0 b b 0
c a c a b 0
c c 0 0 0 0
c c c c 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 8x3 + 15x4 + 4x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c

Is it a nice code?: No

Generator Matrix-438

a 0 0 a a 0
0 a 0 a a 0
b 0 0 b b 0
0 b 0 b b 0
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b 0 b b 0
0 b c a b c
b 0 0 b b 0
b 0 c a b c
b b 0 0 0 0
b b c c 0 c
0 a 0 a a 0
0 a c b a c
0 c 0 c c 0
0 c c 0 c c
b a 0 c c 0
b a c 0 c c
b c 0 a a 0
b c c b a c
a 0 0 a a 0
a 0 c b a c
a b 0 c c 0
a b c 0 c c
c 0 0 c c 0
c 0 c 0 c c
c b 0 a a 0
c b c b a c
a a 0 0 0 0
a a c c 0 c
a c 0 b b 0
a c c a b c
c a 0 b b 0
c a c a b c
c c 0 0 0 0
c c c c 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 7x3 + 8x4 + 9x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)4 (X_b)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)4 (X_a)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c

Is it a nice code?: No

Generator Matrix-439

a 0 0 a a 0
0 a 0 a a 0
b 0 0 b b 0
0 b 0 b b 0
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b 0 b b 0
0 b c a a 0
b 0 0 b b 0
b 0 c a a 0
b b 0 0 0 0
b b c c c 0
0 a 0 a a 0
0 a c b b 0
0 c 0 c c 0
0 c c 0 0 0
b a 0 c c 0
b a c 0 0 0
b c 0 a a 0
b c c b b 0
a 0 0 a a 0
a 0 c b b 0
a b 0 c c 0
a b c 0 0 0
c 0 0 c c 0
c 0 c 0 0 0
c b 0 a a 0
c b c b b 0
a a 0 0 0 0
a a c c c 0
a c 0 b b 0
a c c a a 0
c a 0 b b 0
c a c a a 0
c c 0 0 0 0
c c c c c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 5x2 + 9x3 + 10x4 + 7x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)4 (X_b)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_b)3 (X_c)2 + (X_0)4 (X_a)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c

Is it a nice code?: No

Generator Matrix-440

a 0 0 a a 0
0 a 0 a a 0
b 0 0 b b 0
0 b 0 b b 0
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b 0 b b 0
0 b c a a c
b 0 0 b b 0
b 0 c a a c
b b 0 0 0 0
b b c c c c
0 a 0 a a 0
0 a c b b c
0 c 0 c c 0
0 c c 0 0 c
b a 0 c c 0
b a c 0 0 c
b c 0 a a 0
b c c b b c
a 0 0 a a 0
a 0 c b b c
a b 0 c c 0
a b c 0 0 c
c 0 0 c c 0
c 0 c 0 0 c
c b 0 a a 0
c b c b b c
a a 0 0 0 0
a a c c c c
a c 0 b b 0
a c c a a c
c a 0 b b 0
c a c a a c
c c 0 0 0 0
c c c c c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 8x3 + 9x4 + 4x5 + 7x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)3 (X_b)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_b)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)4 (X_b)2 + (X_b)2 (X_c)4 + (X_0)3 (X_a)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_b)3 (X_c)3 + (X_0)3 (X_a)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_b)3 (X_c)3 + (X_0)4 (X_a)2 + (X_a)2 (X_c)4 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)3 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)3 (X_c)3 + (X_0)4 (X_c)2 + (X_c)6

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c

Is it a nice code?: No

Generator Matrix-441

a 0 0 a a 0
0 a 0 a a a
b 0 0 b b 0
0 b 0 b b b
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b 0 b b b
0 b c b b b
b 0 0 b b 0
b 0 c b b 0
b b 0 0 0 b
b b c 0 0 b
0 a 0 a a a
0 a c a a a
0 c 0 c c c
0 c c c c c
b a 0 c c a
b a c c c a
b c 0 a a c
b c c a a c
a 0 0 a a 0
a 0 c a a 0
a b 0 c c b
a b c c c b
c 0 0 c c 0
c 0 c c c 0
c b 0 a a b
c b c a a b
a a 0 0 0 a
a a c 0 0 a
a c 0 b b c
a c c b b c
c a 0 b b a
c a c b b a
c c 0 0 0 c
c c c 0 0 c

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 0x2 + 6x3 + 9x4 + 9x5 + 6x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_b)4 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_b)3 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)4 (X_c)1 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_a)3 + (X_0)2 (X_a)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0

Is it a nice code?: No

Generator Matrix-442

a 0 0 a a 0
0 a 0 a a a
b 0 0 b b 0
0 b 0 b b b
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b 0 b b b
0 b c b b a
b 0 0 b b 0
b 0 c b b c
b b 0 0 0 b
b b c 0 0 a
0 a 0 a a a
0 a c a a b
0 c 0 c c c
0 c c c c 0
b a 0 c c a
b a c c c b
b c 0 a a c
b c c a a 0
a 0 0 a a 0
a 0 c a a c
a b 0 c c b
a b c c c a
c 0 0 c c 0
c 0 c c c c
c b 0 a a b
c b c a a a
a a 0 0 0 a
a a c 0 0 b
a c 0 b b c
a c c b b 0
c a 0 b b a
c a c b b b
c c 0 0 0 c
c c c 0 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 7x3 + 6x4 + 13x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)3 (X_b)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0

Is it a nice code?: No

Generator Matrix-443

a 0 0 a a 0
0 a 0 a a a
b 0 0 b b 0
0 b 0 b b b
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b 0 b b b
0 b c b a b
b 0 0 b b 0
b 0 c b a 0
b b 0 0 0 b
b b c 0 c b
0 a 0 a a a
0 a c a b a
0 c 0 c c c
0 c c c 0 c
b a 0 c c a
b a c c 0 a
b c 0 a a c
b c c a b c
a 0 0 a a 0
a 0 c a b 0
a b 0 c c b
a b c c 0 b
c 0 0 c c 0
c 0 c c 0 0
c b 0 a a b
c b c a b b
a a 0 0 0 a
a a c 0 c a
a c 0 b b c
a c c b a c
c a 0 b b a
c a c b a a
c c 0 0 0 c
c c c 0 c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 7x3 + 6x4 + 13x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_b)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0

Is it a nice code?: No

Generator Matrix-444

a 0 0 a a 0
0 a 0 a a a
b 0 0 b b 0
0 b 0 b b b
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b 0 b b b
0 b c b a a
b 0 0 b b 0
b 0 c b a c
b b 0 0 0 b
b b c 0 c a
0 a 0 a a a
0 a c a b b
0 c 0 c c c
0 c c c 0 0
b a 0 c c a
b a c c 0 b
b c 0 a a c
b c c a b 0
a 0 0 a a 0
a 0 c a b c
a b 0 c c b
a b c c 0 a
c 0 0 c c 0
c 0 c c 0 c
c b 0 a a b
c b c a b a
a a 0 0 0 a
a a c 0 c b
a c 0 b b c
a c c b a 0
c a 0 b b a
c a c b a b
c c 0 0 0 c
c c c 0 c 0

dmin: 3
Weight Enumerator: 1x0 + 0x1 + 0x2 + 8x3 + 5x4 + 16x5 + 2x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0

Is it a nice code?: No

Generator Matrix-445

a 0 0 a a 0
0 a 0 a a a
b 0 0 b b 0
0 b 0 b b b
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b 0 b b b
0 b c a b b
b 0 0 b b 0
b 0 c a b 0
b b 0 0 0 b
b b c c 0 b
0 a 0 a a a
0 a c b a a
0 c 0 c c c
0 c c 0 c c
b a 0 c c a
b a c 0 c a
b c 0 a a c
b c c b a c
a 0 0 a a 0
a 0 c b a 0
a b 0 c c b
a b c 0 c b
c 0 0 c c 0
c 0 c 0 c 0
c b 0 a a b
c b c b a b
a a 0 0 0 a
a a c c 0 a
a c 0 b b c
a c c a b c
c a 0 b b a
c a c a b a
c c 0 0 0 c
c c c c 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 7x3 + 6x4 + 13x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_b)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0

Is it a nice code?: No

Generator Matrix-446

a 0 0 a a 0
0 a 0 a a a
b 0 0 b b 0
0 b 0 b b b
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b 0 b b b
0 b c a b a
b 0 0 b b 0
b 0 c a b c
b b 0 0 0 b
b b c c 0 a
0 a 0 a a a
0 a c b a b
0 c 0 c c c
0 c c 0 c 0
b a 0 c c a
b a c 0 c b
b c 0 a a c
b c c b a 0
a 0 0 a a 0
a 0 c b a c
a b 0 c c b
a b c 0 c a
c 0 0 c c 0
c 0 c 0 c c
c b 0 a a b
c b c b a a
a a 0 0 0 a
a a c c 0 b
a c 0 b b c
a c c a b 0
c a 0 b b a
c a c a b b
c c 0 0 0 c
c c c c 0 0

dmin: 3
Weight Enumerator: 1x0 + 0x1 + 0x2 + 8x3 + 5x4 + 16x5 + 2x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0

Is it a nice code?: No

Generator Matrix-447

a 0 0 a a 0
0 a 0 a a a
b 0 0 b b 0
0 b 0 b b b
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b 0 b b b
0 b c a a b
b 0 0 b b 0
b 0 c a a 0
b b 0 0 0 b
b b c c c b
0 a 0 a a a
0 a c b b a
0 c 0 c c c
0 c c 0 0 c
b a 0 c c a
b a c 0 0 a
b c 0 a a c
b c c b b c
a 0 0 a a 0
a 0 c b b 0
a b 0 c c b
a b c 0 0 b
c 0 0 c c 0
c 0 c 0 0 0
c b 0 a a b
c b c b b b
a a 0 0 0 a
a a c c c a
a c 0 b b c
a c c a a c
c a 0 b b a
c a c a a a
c c 0 0 0 c
c c c c c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 8x3 + 7x4 + 8x5 + 7x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_b)3 + (X_b)3 (X_c)3 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_b)3 (X_c)3 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_b)4 (X_c)2 + (X_0)3 (X_a)3 + (X_a)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)4 (X_c)2 + (X_0)3 (X_c)3 + (X_c)6

Dual Codewords:

0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0

Is it a nice code?: No

Generator Matrix-448

a 0 0 a a 0
0 a 0 a a a
b 0 0 b b 0
0 b 0 b b b
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b 0 b b b
0 b c a a a
b 0 0 b b 0
b 0 c a a c
b b 0 0 0 b
b b c c c a
0 a 0 a a a
0 a c b b b
0 c 0 c c c
0 c c 0 0 0
b a 0 c c a
b a c 0 0 b
b c 0 a a c
b c c b b 0
a 0 0 a a 0
a 0 c b b c
a b 0 c c b
a b c 0 0 a
c 0 0 c c 0
c 0 c 0 0 c
c b 0 a a b
c b c b b a
a a 0 0 0 a
a a c c c b
a c 0 b b c
a c c a a 0
c a 0 b b a
c a c a a b
c c 0 0 0 c
c c c c c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 7x3 + 6x4 + 13x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)2 (X_b)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)3 (X_b)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_b)3 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0

Is it a nice code?: No

Generator Matrix-449

a 0 0 a a a
0 a 0 0 0 0
b 0 0 b b b
0 b 0 0 0 0
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b 0 0 0 0
0 b c 0 0 0
b 0 0 b b b
b 0 c b b b
b b 0 b b b
b b c b b b
0 a 0 0 0 0
0 a c 0 0 0
0 c 0 0 0 0
0 c c 0 0 0
b a 0 b b b
b a c b b b
b c 0 b b b
b c c b b b
a 0 0 a a a
a 0 c a a a
a b 0 a a a
a b c a a a
c 0 0 c c c
c 0 c c c c
c b 0 c c c
c b c c c c
a a 0 a a a
a a c a a a
a c 0 a a a
a c c a a a
c a 0 c c c
c a c c c c
c c 0 c c c
c c c c c c

dmin: 1
Weight Enumerator: 1x0 + 4x1 + 3x2 + 0x3 + 3x4 + 12x5 + 9x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)5 (X_b)1 + (X_0)4 (X_b)1 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_b)4 (X_c)1 + (X_0)1 (X_b)5 + (X_b)5 (X_c)1 + (X_0)5 (X_a)1 + (X_0)4 (X_a)1 (X_c)1 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)1 (X_a)1 (X_b)4 + (X_a)1 (X_b)4 (X_c)1 + (X_0)1 (X_b)4 (X_c)1 + (X_b)4 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)4 (X_c)1 + (X_0)1 (X_a)4 (X_b)1 + (X_a)4 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)1 (X_b)1 (X_c)4 + (X_b)1 (X_c)5 + (X_0)1 (X_a)5 + (X_a)5 (X_c)1 + (X_0)1 (X_a)4 (X_c)1 + (X_a)4 (X_c)2 + (X_0)1 (X_a)1 (X_c)4 + (X_a)1 (X_c)5 + (X_0)1 (X_c)5 + (X_c)6

Dual Codewords:

0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0

Is it a nice code?: No

Generator Matrix-450

a 0 0 a a a
0 a 0 0 0 0
b 0 0 b b b
0 b 0 0 0 0
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b 0 0 0 0
0 b c 0 0 c
b 0 0 b b b
b 0 c b b a
b b 0 b b b
b b c b b a
0 a 0 0 0 0
0 a c 0 0 c
0 c 0 0 0 0
0 c c 0 0 c
b a 0 b b b
b a c b b a
b c 0 b b b
b c c b b a
a 0 0 a a a
a 0 c a a b
a b 0 a a a
a b c a a b
c 0 0 c c c
c 0 c c c 0
c b 0 c c c
c b c c c 0
a a 0 a a a
a a c a a b
a c 0 a a a
a c c a a b
c a 0 c c c
c a c c c 0
c c 0 c c c
c c c c c 0

dmin: 1
Weight Enumerator: 1x0 + 3x1 + 1x2 + 3x3 + 4x4 + 14x5 + 6x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)5 (X_b)1 + (X_0)3 (X_b)1 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_b)5 + (X_a)1 (X_b)4 (X_c)1 + (X_0)5 (X_a)1 + (X_0)3 (X_a)1 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)4 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_b)4 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)4 (X_b)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_b)1 (X_c)4 + (X_0)1 (X_b)1 (X_c)4 + (X_0)1 (X_a)5 + (X_a)4 (X_b)1 (X_c)1 + (X_0)1 (X_a)4 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_c)4 + (X_0)1 (X_a)1 (X_c)4 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0

Is it a nice code?: No

Generator Matrix-451

a 0 0 a a a
0 a 0 0 0 0
b 0 0 b b b
0 b 0 0 0 0
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b 0 0 0 0
0 b c 0 c 0
b 0 0 b b b
b 0 c b a b
b b 0 b b b
b b c b a b
0 a 0 0 0 0
0 a c 0 c 0
0 c 0 0 0 0
0 c c 0 c 0
b a 0 b b b
b a c b a b
b c 0 b b b
b c c b a b
a 0 0 a a a
a 0 c a b a
a b 0 a a a
a b c a b a
c 0 0 c c c
c 0 c c 0 c
c b 0 c c c
c b c c 0 c
a a 0 a a a
a a c a b a
a c 0 a a a
a c c a b a
c a 0 c c c
c a c c 0 c
c c 0 c c c
c c c c 0 c

dmin: 1
Weight Enumerator: 1x0 + 3x1 + 1x2 + 3x3 + 4x4 + 14x5 + 6x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)5 (X_b)1 + (X_0)3 (X_b)1 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_b)5 + (X_a)1 (X_b)4 (X_c)1 + (X_0)5 (X_a)1 + (X_0)3 (X_a)1 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)4 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_b)4 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)4 (X_b)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_b)1 (X_c)4 + (X_0)1 (X_b)1 (X_c)4 + (X_0)1 (X_a)5 + (X_a)4 (X_b)1 (X_c)1 + (X_0)1 (X_a)4 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_c)4 + (X_0)1 (X_a)1 (X_c)4 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0

Is it a nice code?: No

Generator Matrix-452

a 0 0 a a a
0 a 0 0 0 0
b 0 0 b b b
0 b 0 0 0 0
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b 0 0 0 0
0 b c 0 c c
b 0 0 b b b
b 0 c b a a
b b 0 b b b
b b c b a a
0 a 0 0 0 0
0 a c 0 c c
0 c 0 0 0 0
0 c c 0 c c
b a 0 b b b
b a c b a a
b c 0 b b b
b c c b a a
a 0 0 a a a
a 0 c a b b
a b 0 a a a
a b c a b b
c 0 0 c c c
c 0 c c 0 0
c b 0 c c c
c b c c 0 0
a a 0 a a a
a a c a b b
a c 0 a a a
a c c a b b
c a 0 c c c
c a c c 0 0
c c 0 c c c
c c c c 0 0

dmin: 1
Weight Enumerator: 1x0 + 3x1 + 0x2 + 2x3 + 9x4 + 11x5 + 6x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)5 (X_b)1 + (X_0)2 (X_b)1 (X_c)3 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_b)5 + (X_a)2 (X_b)3 (X_c)1 + (X_0)5 (X_a)1 + (X_0)2 (X_a)1 (X_c)3 + (X_0)5 (X_c)1 + (X_0)2 (X_c)4 + (X_0)1 (X_a)1 (X_b)4 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_b)4 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)4 (X_b)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_b)1 (X_c)4 + (X_0)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)5 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)4 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_c)4 + (X_0)2 (X_a)1 (X_c)3 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0

Is it a nice code?: No

Generator Matrix-453

a 0 0 a a a
0 a 0 0 0 0
b 0 0 b b b
0 b 0 0 0 0
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b 0 0 0 0
0 b c c 0 0
b 0 0 b b b
b 0 c a b b
b b 0 b b b
b b c a b b
0 a 0 0 0 0
0 a c c 0 0
0 c 0 0 0 0
0 c c c 0 0
b a 0 b b b
b a c a b b
b c 0 b b b
b c c a b b
a 0 0 a a a
a 0 c b a a
a b 0 a a a
a b c b a a
c 0 0 c c c
c 0 c 0 c c
c b 0 c c c
c b c 0 c c
a a 0 a a a
a a c b a a
a c 0 a a a
a c c b a a
c a 0 c c c
c a c 0 c c
c c 0 c c c
c c c 0 c c

dmin: 1
Weight Enumerator: 1x0 + 3x1 + 1x2 + 3x3 + 4x4 + 14x5 + 6x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)5 (X_b)1 + (X_0)3 (X_b)1 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_b)5 + (X_a)1 (X_b)4 (X_c)1 + (X_0)5 (X_a)1 + (X_0)3 (X_a)1 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)4 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_b)4 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)4 (X_b)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_b)1 (X_c)4 + (X_0)1 (X_b)1 (X_c)4 + (X_0)1 (X_a)5 + (X_a)4 (X_b)1 (X_c)1 + (X_0)1 (X_a)4 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_c)4 + (X_0)1 (X_a)1 (X_c)4 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0

Is it a nice code?: No

Generator Matrix-454

a 0 0 a a a
0 a 0 0 0 0
b 0 0 b b b
0 b 0 0 0 0
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b 0 0 0 0
0 b c c 0 c
b 0 0 b b b
b 0 c a b a
b b 0 b b b
b b c a b a
0 a 0 0 0 0
0 a c c 0 c
0 c 0 0 0 0
0 c c c 0 c
b a 0 b b b
b a c a b a
b c 0 b b b
b c c a b a
a 0 0 a a a
a 0 c b a b
a b 0 a a a
a b c b a b
c 0 0 c c c
c 0 c 0 c 0
c b 0 c c c
c b c 0 c 0
a a 0 a a a
a a c b a b
a c 0 a a a
a c c b a b
c a 0 c c c
c a c 0 c 0
c c 0 c c c
c c c 0 c 0

dmin: 1
Weight Enumerator: 1x0 + 3x1 + 0x2 + 2x3 + 9x4 + 11x5 + 6x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)5 (X_b)1 + (X_0)2 (X_b)1 (X_c)3 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_b)5 + (X_a)2 (X_b)3 (X_c)1 + (X_0)5 (X_a)1 + (X_0)2 (X_a)1 (X_c)3 + (X_0)5 (X_c)1 + (X_0)2 (X_c)4 + (X_0)1 (X_a)1 (X_b)4 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_b)4 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)4 (X_b)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_b)1 (X_c)4 + (X_0)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)5 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)4 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_c)4 + (X_0)2 (X_a)1 (X_c)3 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0

Is it a nice code?: No

Generator Matrix-455

a 0 0 a a a
0 a 0 0 0 0
b 0 0 b b b
0 b 0 0 0 0
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b 0 0 0 0
0 b c c c 0
b 0 0 b b b
b 0 c a a b
b b 0 b b b
b b c a a b
0 a 0 0 0 0
0 a c c c 0
0 c 0 0 0 0
0 c c c c 0
b a 0 b b b
b a c a a b
b c 0 b b b
b c c a a b
a 0 0 a a a
a 0 c b b a
a b 0 a a a
a b c b b a
c 0 0 c c c
c 0 c 0 0 c
c b 0 c c c
c b c 0 0 c
a a 0 a a a
a a c b b a
a c 0 a a a
a c c b b a
c a 0 c c c
c a c 0 0 c
c c 0 c c c
c c c 0 0 c

dmin: 1
Weight Enumerator: 1x0 + 3x1 + 0x2 + 2x3 + 9x4 + 11x5 + 6x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)5 (X_b)1 + (X_0)2 (X_b)1 (X_c)3 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_b)5 + (X_a)2 (X_b)3 (X_c)1 + (X_0)5 (X_a)1 + (X_0)2 (X_a)1 (X_c)3 + (X_0)5 (X_c)1 + (X_0)2 (X_c)4 + (X_0)1 (X_a)1 (X_b)4 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_b)4 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)4 (X_b)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_b)1 (X_c)4 + (X_0)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)5 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)4 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_c)4 + (X_0)2 (X_a)1 (X_c)3 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0

Is it a nice code?: No

Generator Matrix-456

a 0 0 a a a
0 a 0 0 0 0
b 0 0 b b b
0 b 0 0 0 0
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b 0 0 0 0
0 b c c c c
b 0 0 b b b
b 0 c a a a
b b 0 b b b
b b c a a a
0 a 0 0 0 0
0 a c c c c
0 c 0 0 0 0
0 c c c c c
b a 0 b b b
b a c a a a
b c 0 b b b
b c c a a a
a 0 0 a a a
a 0 c b b b
a b 0 a a a
a b c b b b
c 0 0 c c c
c 0 c 0 0 0
c b 0 c c c
c b c 0 0 0
a a 0 a a a
a a c b b b
a c 0 a a a
a c c b b b
c a 0 c c c
c a c 0 0 0
c c 0 c c c
c c c 0 0 0

dmin: 1
Weight Enumerator: 1x0 + 3x1 + 1x2 + 3x3 + 4x4 + 14x5 + 6x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)5 (X_b)1 + (X_0)1 (X_b)1 (X_c)4 + (X_0)2 (X_b)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_b)5 + (X_a)3 (X_b)2 (X_c)1 + (X_0)5 (X_a)1 + (X_0)1 (X_a)1 (X_c)4 + (X_0)5 (X_c)1 + (X_0)1 (X_c)5 + (X_0)1 (X_a)1 (X_b)4 + (X_a)4 (X_b)1 (X_c)1 + (X_0)1 (X_b)4 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)4 (X_b)1 + (X_a)1 (X_b)4 (X_c)1 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)1 (X_b)1 (X_c)4 + (X_0)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)5 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)4 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)1 (X_c)4 + (X_0)3 (X_a)1 (X_c)2 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0

Is it a nice code?: No

Generator Matrix-457

a 0 0 a a a
0 a 0 0 0 a
b 0 0 b b b
0 b 0 0 0 b
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b 0 0 0 b
0 b c 0 0 b
b 0 0 b b b
b 0 c b b b
b b 0 b b 0
b b c b b 0
0 a 0 0 0 a
0 a c 0 0 a
0 c 0 0 0 c
0 c c 0 0 c
b a 0 b b c
b a c b b c
b c 0 b b a
b c c b b a
a 0 0 a a a
a 0 c a a a
a b 0 a a c
a b c a a c
c 0 0 c c c
c 0 c c c c
c b 0 c c a
c b c c c a
a a 0 a a 0
a a c a a 0
a c 0 a a b
a c c a a b
c a 0 c c b
c a c c c b
c c 0 c c 0
c c c c c 0

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 3x2 + 3x3 + 6x4 + 12x5 + 6x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)4 (X_b)2 + (X_0)3 (X_b)2 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_b)4 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_b)4 (X_c)1 + (X_0)4 (X_a)2 + (X_0)3 (X_a)2 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)4 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_a)1 (X_b)1 (X_c)4 + (X_0)2 (X_a)4 + (X_0)1 (X_a)4 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_a)1 (X_b)1 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0

Is it a nice code?: No

Generator Matrix-458

a 0 0 a a a
0 a 0 0 0 a
b 0 0 b b b
0 b 0 0 0 b
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b 0 0 0 b
0 b c 0 0 a
b 0 0 b b b
b 0 c b b a
b b 0 b b 0
b b c b b c
0 a 0 0 0 a
0 a c 0 0 b
0 c 0 0 0 c
0 c c 0 0 0
b a 0 b b c
b a c b b 0
b c 0 b b a
b c c b b b
a 0 0 a a a
a 0 c a a b
a b 0 a a c
a b c a a 0
c 0 0 c c c
c 0 c c c 0
c b 0 c c a
c b c c c b
a a 0 a a 0
a a c a a c
a c 0 a a b
a c c a a a
c a 0 c c b
c a c c c a
c c 0 c c 0
c c c c c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 5x2 + 2x3 + 7x4 + 10x5 + 7x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_b)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_b)4 + (X_b)4 (X_c)2 + (X_0)4 (X_a)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_b)4 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_b)2 (X_c)4 + (X_0)2 (X_a)4 + (X_a)4 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)4 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_a)2 (X_c)4 + (X_0)2 (X_c)4 + (X_c)6

Dual Codewords:

0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0

Is it a nice code?: No

Generator Matrix-459

a 0 0 a a a
0 a 0 0 0 a
b 0 0 b b b
0 b 0 0 0 b
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b 0 0 0 b
0 b c 0 c b
b 0 0 b b b
b 0 c b a b
b b 0 b b 0
b b c b a 0
0 a 0 0 0 a
0 a c 0 c a
0 c 0 0 0 c
0 c c 0 c c
b a 0 b b c
b a c b a c
b c 0 b b a
b c c b a a
a 0 0 a a a
a 0 c a b a
a b 0 a a c
a b c a b c
c 0 0 c c c
c 0 c c 0 c
c b 0 c c a
c b c c 0 a
a a 0 a a 0
a a c a b 0
a c 0 a a b
a c c a b b
c a 0 c c b
c a c c 0 b
c c 0 c c 0
c c c c 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 0x3 + 11x4 + 12x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0

Is it a nice code?: No

Generator Matrix-460

a 0 0 a a a
0 a 0 0 0 a
b 0 0 b b b
0 b 0 0 0 b
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b 0 0 0 b
0 b c 0 c a
b 0 0 b b b
b 0 c b a a
b b 0 b b 0
b b c b a c
0 a 0 0 0 a
0 a c 0 c b
0 c 0 0 0 c
0 c c 0 c 0
b a 0 b b c
b a c b a 0
b c 0 b b a
b c c b a b
a 0 0 a a a
a 0 c a b b
a b 0 a a c
a b c a b 0
c 0 0 c c c
c 0 c c 0 0
c b 0 c c a
c b c c 0 b
a a 0 a a 0
a a c a b c
a c 0 a a b
a c c a b a
c a 0 c c b
c a c c 0 a
c c 0 c c 0
c c c c 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 3x3 + 8x4 + 13x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_b)4 + (X_a)1 (X_b)3 (X_c)2 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)4 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)2 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0

Is it a nice code?: No

Generator Matrix-461

a 0 0 a a a
0 a 0 0 0 a
b 0 0 b b b
0 b 0 0 0 b
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b 0 0 0 b
0 b c c 0 b
b 0 0 b b b
b 0 c a b b
b b 0 b b 0
b b c a b 0
0 a 0 0 0 a
0 a c c 0 a
0 c 0 0 0 c
0 c c c 0 c
b a 0 b b c
b a c a b c
b c 0 b b a
b c c a b a
a 0 0 a a a
a 0 c b a a
a b 0 a a c
a b c b a c
c 0 0 c c c
c 0 c 0 c c
c b 0 c c a
c b c 0 c a
a a 0 a a 0
a a c b a 0
a c 0 a a b
a c c b a b
c a 0 c c b
c a c 0 c b
c c 0 c c 0
c c c 0 c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 0x3 + 11x4 + 12x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0

Is it a nice code?: No

Generator Matrix-462

a 0 0 a a a
0 a 0 0 0 a
b 0 0 b b b
0 b 0 0 0 b
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b 0 0 0 b
0 b c c 0 a
b 0 0 b b b
b 0 c a b a
b b 0 b b 0
b b c a b c
0 a 0 0 0 a
0 a c c 0 b
0 c 0 0 0 c
0 c c c 0 0
b a 0 b b c
b a c a b 0
b c 0 b b a
b c c a b b
a 0 0 a a a
a 0 c b a b
a b 0 a a c
a b c b a 0
c 0 0 c c c
c 0 c 0 c 0
c b 0 c c a
c b c 0 c b
a a 0 a a 0
a a c b a c
a c 0 a a b
a c c b a a
c a 0 c c b
c a c 0 c a
c c 0 c c 0
c c c 0 c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 3x3 + 8x4 + 13x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_b)4 + (X_a)1 (X_b)3 (X_c)2 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)4 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)2 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0

Is it a nice code?: No

Generator Matrix-463

a 0 0 a a a
0 a 0 0 0 a
b 0 0 b b b
0 b 0 0 0 b
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b 0 0 0 b
0 b c c c b
b 0 0 b b b
b 0 c a a b
b b 0 b b 0
b b c a a 0
0 a 0 0 0 a
0 a c c c a
0 c 0 0 0 c
0 c c c c c
b a 0 b b c
b a c a a c
b c 0 b b a
b c c a a a
a 0 0 a a a
a 0 c b b a
a b 0 a a c
a b c b b c
c 0 0 c c c
c 0 c 0 0 c
c b 0 c c a
c b c 0 0 a
a a 0 a a 0
a a c b b 0
a c 0 a a b
a c c b b b
c a 0 c c b
c a c 0 0 b
c c 0 c c 0
c c c 0 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 3x3 + 8x4 + 13x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)4 (X_b)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)4 (X_a)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0

Is it a nice code?: No

Generator Matrix-464

a 0 0 a a a
0 a 0 0 0 a
b 0 0 b b b
0 b 0 0 0 b
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b 0 0 0 b
0 b c c c a
b 0 0 b b b
b 0 c a a a
b b 0 b b 0
b b c a a c
0 a 0 0 0 a
0 a c c c b
0 c 0 0 0 c
0 c c c c 0
b a 0 b b c
b a c a a 0
b c 0 b b a
b c c a a b
a 0 0 a a a
a 0 c b b b
a b 0 a a c
a b c b b 0
c 0 0 c c c
c 0 c 0 0 0
c b 0 c c a
c b c 0 0 b
a a 0 a a 0
a a c b b c
a c 0 a a b
a c c b b a
c a 0 c c b
c a c 0 0 a
c c 0 c c 0
c c c 0 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 0x3 + 11x4 + 12x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)4 (X_b)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_b)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_b)4 + (X_a)2 (X_b)2 (X_c)2 + (X_0)4 (X_a)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0

Is it a nice code?: No

Generator Matrix-465

a 0 0 a a a
0 a 0 0 a 0
b 0 0 b b b
0 b 0 0 b 0
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b 0 0 b 0
0 b c 0 b 0
b 0 0 b b b
b 0 c b b b
b b 0 b 0 b
b b c b 0 b
0 a 0 0 a 0
0 a c 0 a 0
0 c 0 0 c 0
0 c c 0 c 0
b a 0 b c b
b a c b c b
b c 0 b a b
b c c b a b
a 0 0 a a a
a 0 c a a a
a b 0 a c a
a b c a c a
c 0 0 c c c
c 0 c c c c
c b 0 c a c
c b c c a c
a a 0 a 0 a
a a c a 0 a
a c 0 a b a
a c c a b a
c a 0 c b c
c a c c b c
c c 0 c 0 c
c c c c 0 c

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 3x2 + 3x3 + 6x4 + 12x5 + 6x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)4 (X_b)2 + (X_0)3 (X_b)2 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_b)4 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_b)4 (X_c)1 + (X_0)4 (X_a)2 + (X_0)3 (X_a)2 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)4 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_a)1 (X_b)1 (X_c)4 + (X_0)2 (X_a)4 + (X_0)1 (X_a)4 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_a)1 (X_b)1 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0

Is it a nice code?: No

Generator Matrix-466

a 0 0 a a a
0 a 0 0 a 0
b 0 0 b b b
0 b 0 0 b 0
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b 0 0 b 0
0 b c 0 b c
b 0 0 b b b
b 0 c b b a
b b 0 b 0 b
b b c b 0 a
0 a 0 0 a 0
0 a c 0 a c
0 c 0 0 c 0
0 c c 0 c c
b a 0 b c b
b a c b c a
b c 0 b a b
b c c b a a
a 0 0 a a a
a 0 c a a b
a b 0 a c a
a b c a c b
c 0 0 c c c
c 0 c c c 0
c b 0 c a c
c b c c a 0
a a 0 a 0 a
a a c a 0 b
a c 0 a b a
a c c a b b
c a 0 c b c
c a c c b 0
c c 0 c 0 c
c c c c 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 0x3 + 11x4 + 12x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0

Is it a nice code?: No

Generator Matrix-467

a 0 0 a a a
0 a 0 0 a 0
b 0 0 b b b
0 b 0 0 b 0
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b 0 0 b 0
0 b c 0 a 0
b 0 0 b b b
b 0 c b a b
b b 0 b 0 b
b b c b c b
0 a 0 0 a 0
0 a c 0 b 0
0 c 0 0 c 0
0 c c 0 0 0
b a 0 b c b
b a c b 0 b
b c 0 b a b
b c c b b b
a 0 0 a a a
a 0 c a b a
a b 0 a c a
a b c a 0 a
c 0 0 c c c
c 0 c c 0 c
c b 0 c a c
c b c c b c
a a 0 a 0 a
a a c a c a
a c 0 a b a
a c c a a a
c a 0 c b c
c a c c a c
c c 0 c 0 c
c c c c c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 5x2 + 2x3 + 7x4 + 10x5 + 7x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_b)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_b)4 + (X_b)4 (X_c)2 + (X_0)4 (X_a)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_b)4 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_b)2 (X_c)4 + (X_0)2 (X_a)4 + (X_a)4 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)4 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_a)2 (X_c)4 + (X_0)2 (X_c)4 + (X_c)6

Dual Codewords:

0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0

Is it a nice code?: No

Generator Matrix-468

a 0 0 a a a
0 a 0 0 a 0
b 0 0 b b b
0 b 0 0 b 0
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b 0 0 b 0
0 b c 0 a c
b 0 0 b b b
b 0 c b a a
b b 0 b 0 b
b b c b c a
0 a 0 0 a 0
0 a c 0 b c
0 c 0 0 c 0
0 c c 0 0 c
b a 0 b c b
b a c b 0 a
b c 0 b a b
b c c b b a
a 0 0 a a a
a 0 c a b b
a b 0 a c a
a b c a 0 b
c 0 0 c c c
c 0 c c 0 0
c b 0 c a c
c b c c b 0
a a 0 a 0 a
a a c a c b
a c 0 a b a
a c c a a b
c a 0 c b c
c a c c a 0
c c 0 c 0 c
c c c c c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 3x3 + 8x4 + 13x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_b)4 + (X_a)1 (X_b)3 (X_c)2 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)4 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)2 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0

Is it a nice code?: No

Generator Matrix-469

a 0 0 a a a
0 a 0 0 a 0
b 0 0 b b b
0 b 0 0 b 0
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b 0 0 b 0
0 b c c b 0
b 0 0 b b b
b 0 c a b b
b b 0 b 0 b
b b c a 0 b
0 a 0 0 a 0
0 a c c a 0
0 c 0 0 c 0
0 c c c c 0
b a 0 b c b
b a c a c b
b c 0 b a b
b c c a a b
a 0 0 a a a
a 0 c b a a
a b 0 a c a
a b c b c a
c 0 0 c c c
c 0 c 0 c c
c b 0 c a c
c b c 0 a c
a a 0 a 0 a
a a c b 0 a
a c 0 a b a
a c c b b a
c a 0 c b c
c a c 0 b c
c c 0 c 0 c
c c c 0 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 0x3 + 11x4 + 12x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0

Is it a nice code?: No

Generator Matrix-470

a 0 0 a a a
0 a 0 0 a 0
b 0 0 b b b
0 b 0 0 b 0
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b 0 0 b 0
0 b c c b c
b 0 0 b b b
b 0 c a b a
b b 0 b 0 b
b b c a 0 a
0 a 0 0 a 0
0 a c c a c
0 c 0 0 c 0
0 c c c c c
b a 0 b c b
b a c a c a
b c 0 b a b
b c c a a a
a 0 0 a a a
a 0 c b a b
a b 0 a c a
a b c b c b
c 0 0 c c c
c 0 c 0 c 0
c b 0 c a c
c b c 0 a 0
a a 0 a 0 a
a a c b 0 b
a c 0 a b a
a c c b b b
c a 0 c b c
c a c 0 b 0
c c 0 c 0 c
c c c 0 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 3x3 + 8x4 + 13x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)4 (X_b)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)4 (X_a)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0

Is it a nice code?: No

Generator Matrix-471

a 0 0 a a a
0 a 0 0 a 0
b 0 0 b b b
0 b 0 0 b 0
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b 0 0 b 0
0 b c c a 0
b 0 0 b b b
b 0 c a a b
b b 0 b 0 b
b b c a c b
0 a 0 0 a 0
0 a c c b 0
0 c 0 0 c 0
0 c c c 0 0
b a 0 b c b
b a c a 0 b
b c 0 b a b
b c c a b b
a 0 0 a a a
a 0 c b b a
a b 0 a c a
a b c b 0 a
c 0 0 c c c
c 0 c 0 0 c
c b 0 c a c
c b c 0 b c
a a 0 a 0 a
a a c b c a
a c 0 a b a
a c c b a a
c a 0 c b c
c a c 0 a c
c c 0 c 0 c
c c c 0 c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 3x3 + 8x4 + 13x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_b)4 + (X_a)1 (X_b)3 (X_c)2 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)4 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)2 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0

Is it a nice code?: No

Generator Matrix-472

a 0 0 a a a
0 a 0 0 a 0
b 0 0 b b b
0 b 0 0 b 0
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b 0 0 b 0
0 b c c a c
b 0 0 b b b
b 0 c a a a
b b 0 b 0 b
b b c a c a
0 a 0 0 a 0
0 a c c b c
0 c 0 0 c 0
0 c c c 0 c
b a 0 b c b
b a c a 0 a
b c 0 b a b
b c c a b a
a 0 0 a a a
a 0 c b b b
a b 0 a c a
a b c b 0 b
c 0 0 c c c
c 0 c 0 0 0
c b 0 c a c
c b c 0 b 0
a a 0 a 0 a
a a c b c b
a c 0 a b a
a c c b a b
c a 0 c b c
c a c 0 a 0
c c 0 c 0 c
c c c 0 c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 0x3 + 11x4 + 12x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)4 (X_b)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_b)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_b)4 + (X_a)2 (X_b)2 (X_c)2 + (X_0)4 (X_a)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0

Is it a nice code?: No

Generator Matrix-473

a 0 0 a a a
0 a 0 0 a a
b 0 0 b b b
0 b 0 0 b b
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b 0 0 b b
0 b c 0 b b
b 0 0 b b b
b 0 c b b b
b b 0 b 0 0
b b c b 0 0
0 a 0 0 a a
0 a c 0 a a
0 c 0 0 c c
0 c c 0 c c
b a 0 b c c
b a c b c c
b c 0 b a a
b c c b a a
a 0 0 a a a
a 0 c a a a
a b 0 a c c
a b c a c c
c 0 0 c c c
c 0 c c c c
c b 0 c a a
c b c c a a
a a 0 a 0 0
a a c a 0 0
a c 0 a b b
a c c a b b
c a 0 c b b
c a c c b b
c c 0 c 0 0
c c c c 0 0

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 0x2 + 6x3 + 9x4 + 9x5 + 6x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_b)3 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_b)4 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_b)3 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)3 (X_c)1 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)4 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_a)3 + (X_0)2 (X_a)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0

Is it a nice code?: No

Generator Matrix-474

a 0 0 a a a
0 a 0 0 a a
b 0 0 b b b
0 b 0 0 b b
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b 0 0 b b
0 b c 0 b a
b 0 0 b b b
b 0 c b b a
b b 0 b 0 0
b b c b 0 c
0 a 0 0 a a
0 a c 0 a b
0 c 0 0 c c
0 c c 0 c 0
b a 0 b c c
b a c b c 0
b c 0 b a a
b c c b a b
a 0 0 a a a
a 0 c a a b
a b 0 a c c
a b c a c 0
c 0 0 c c c
c 0 c c c 0
c b 0 c a a
c b c c a b
a a 0 a 0 0
a a c a 0 c
a c 0 a b b
a c c a b a
c a 0 c b b
c a c c b a
c c 0 c 0 0
c c c c 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 7x3 + 6x4 + 13x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)3 (X_b)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0

Is it a nice code?: No

Generator Matrix-475

a 0 0 a a a
0 a 0 0 a a
b 0 0 b b b
0 b 0 0 b b
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b 0 0 b b
0 b c 0 a b
b 0 0 b b b
b 0 c b a b
b b 0 b 0 0
b b c b c 0
0 a 0 0 a a
0 a c 0 b a
0 c 0 0 c c
0 c c 0 0 c
b a 0 b c c
b a c b 0 c
b c 0 b a a
b c c b b a
a 0 0 a a a
a 0 c a b a
a b 0 a c c
a b c a 0 c
c 0 0 c c c
c 0 c c 0 c
c b 0 c a a
c b c c b a
a a 0 a 0 0
a a c a c 0
a c 0 a b b
a c c a a b
c a 0 c b b
c a c c a b
c c 0 c 0 0
c c c c c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 7x3 + 6x4 + 13x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)3 (X_b)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0

Is it a nice code?: No

Generator Matrix-476

a 0 0 a a a
0 a 0 0 a a
b 0 0 b b b
0 b 0 0 b b
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b 0 0 b b
0 b c 0 a a
b 0 0 b b b
b 0 c b a a
b b 0 b 0 0
b b c b c c
0 a 0 0 a a
0 a c 0 b b
0 c 0 0 c c
0 c c 0 0 0
b a 0 b c c
b a c b 0 0
b c 0 b a a
b c c b b b
a 0 0 a a a
a 0 c a b b
a b 0 a c c
a b c a 0 0
c 0 0 c c c
c 0 c c 0 0
c b 0 c a a
c b c c b b
a a 0 a 0 0
a a c a c c
a c 0 a b b
a c c a a a
c a 0 c b b
c a c c a a
c c 0 c 0 0
c c c c c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 8x3 + 7x4 + 8x5 + 7x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_b)3 + (X_b)3 (X_c)3 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_b)4 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_b)3 (X_c)3 + (X_0)3 (X_a)3 + (X_a)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)4 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)3 (X_c)3 + (X_0)3 (X_c)3 + (X_c)6

Dual Codewords:

0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0

Is it a nice code?: No

Generator Matrix-477

a 0 0 a a a
0 a 0 0 a a
b 0 0 b b b
0 b 0 0 b b
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b 0 0 b b
0 b c c b b
b 0 0 b b b
b 0 c a b b
b b 0 b 0 0
b b c a 0 0
0 a 0 0 a a
0 a c c a a
0 c 0 0 c c
0 c c c c c
b a 0 b c c
b a c a c c
b c 0 b a a
b c c a a a
a 0 0 a a a
a 0 c b a a
a b 0 a c c
a b c b c c
c 0 0 c c c
c 0 c 0 c c
c b 0 c a a
c b c 0 a a
a a 0 a 0 0
a a c b 0 0
a c 0 a b b
a c c b b b
c a 0 c b b
c a c 0 b b
c c 0 c 0 0
c c c 0 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 7x3 + 6x4 + 13x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0

Is it a nice code?: No

Generator Matrix-478

a 0 0 a a a
0 a 0 0 a a
b 0 0 b b b
0 b 0 0 b b
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b 0 0 b b
0 b c c b a
b 0 0 b b b
b 0 c a b a
b b 0 b 0 0
b b c a 0 c
0 a 0 0 a a
0 a c c a b
0 c 0 0 c c
0 c c c c 0
b a 0 b c c
b a c a c 0
b c 0 b a a
b c c a a b
a 0 0 a a a
a 0 c b a b
a b 0 a c c
a b c b c 0
c 0 0 c c c
c 0 c 0 c 0
c b 0 c a a
c b c 0 a b
a a 0 a 0 0
a a c b 0 c
a c 0 a b b
a c c b b a
c a 0 c b b
c a c 0 b a
c c 0 c 0 0
c c c 0 0 c

dmin: 3
Weight Enumerator: 1x0 + 0x1 + 0x2 + 8x3 + 5x4 + 16x5 + 2x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0

Is it a nice code?: No

Generator Matrix-479

a 0 0 a a a
0 a 0 0 a a
b 0 0 b b b
0 b 0 0 b b
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b 0 0 b b
0 b c c a b
b 0 0 b b b
b 0 c a a b
b b 0 b 0 0
b b c a c 0
0 a 0 0 a a
0 a c c b a
0 c 0 0 c c
0 c c c 0 c
b a 0 b c c
b a c a 0 c
b c 0 b a a
b c c a b a
a 0 0 a a a
a 0 c b b a
a b 0 a c c
a b c b 0 c
c 0 0 c c c
c 0 c 0 0 c
c b 0 c a a
c b c 0 b a
a a 0 a 0 0
a a c b c 0
a c 0 a b b
a c c b a b
c a 0 c b b
c a c 0 a b
c c 0 c 0 0
c c c 0 c 0

dmin: 3
Weight Enumerator: 1x0 + 0x1 + 0x2 + 8x3 + 5x4 + 16x5 + 2x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0

Is it a nice code?: No

Generator Matrix-480

a 0 0 a a a
0 a 0 0 a a
b 0 0 b b b
0 b 0 0 b b
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b 0 0 b b
0 b c c a a
b 0 0 b b b
b 0 c a a a
b b 0 b 0 0
b b c a c c
0 a 0 0 a a
0 a c c b b
0 c 0 0 c c
0 c c c 0 0
b a 0 b c c
b a c a 0 0
b c 0 b a a
b c c a b b
a 0 0 a a a
a 0 c b b b
a b 0 a c c
a b c b 0 0
c 0 0 c c c
c 0 c 0 0 0
c b 0 c a a
c b c 0 b b
a a 0 a 0 0
a a c b c c
a c 0 a b b
a c c b a a
c a 0 c b b
c a c 0 a a
c c 0 c 0 0
c c c 0 c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 7x3 + 6x4 + 13x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)3 (X_b)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)3 (X_b)3 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)3 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0

Is it a nice code?: No

Generator Matrix-481

a 0 0 a a a
0 a 0 a 0 0
b 0 0 b b b
0 b 0 b 0 0
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b 0 b 0 0
0 b c b 0 0
b 0 0 b b b
b 0 c b b b
b b 0 0 b b
b b c 0 b b
0 a 0 a 0 0
0 a c a 0 0
0 c 0 c 0 0
0 c c c 0 0
b a 0 c b b
b a c c b b
b c 0 a b b
b c c a b b
a 0 0 a a a
a 0 c a a a
a b 0 c a a
a b c c a a
c 0 0 c c c
c 0 c c c c
c b 0 a c c
c b c a c c
a a 0 0 a a
a a c 0 a a
a c 0 b a a
a c c b a a
c a 0 b c c
c a c b c c
c c 0 0 c c
c c c 0 c c

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 3x2 + 3x3 + 6x4 + 12x5 + 6x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)4 (X_b)2 + (X_0)3 (X_b)2 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_b)4 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_b)4 (X_c)1 + (X_0)4 (X_a)2 + (X_0)3 (X_a)2 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)4 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_a)1 (X_b)1 (X_c)4 + (X_0)2 (X_a)4 + (X_0)1 (X_a)4 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_a)1 (X_b)1 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0

Is it a nice code?: No

Generator Matrix-482

a 0 0 a a a
0 a 0 a 0 0
b 0 0 b b b
0 b 0 b 0 0
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b 0 b 0 0
0 b c b 0 c
b 0 0 b b b
b 0 c b b a
b b 0 0 b b
b b c 0 b a
0 a 0 a 0 0
0 a c a 0 c
0 c 0 c 0 0
0 c c c 0 c
b a 0 c b b
b a c c b a
b c 0 a b b
b c c a b a
a 0 0 a a a
a 0 c a a b
a b 0 c a a
a b c c a b
c 0 0 c c c
c 0 c c c 0
c b 0 a c c
c b c a c 0
a a 0 0 a a
a a c 0 a b
a c 0 b a a
a c c b a b
c a 0 b c c
c a c b c 0
c c 0 0 c c
c c c 0 c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 0x3 + 11x4 + 12x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0

Is it a nice code?: No

Generator Matrix-483

a 0 0 a a a
0 a 0 a 0 0
b 0 0 b b b
0 b 0 b 0 0
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b 0 b 0 0
0 b c b c 0
b 0 0 b b b
b 0 c b a b
b b 0 0 b b
b b c 0 a b
0 a 0 a 0 0
0 a c a c 0
0 c 0 c 0 0
0 c c c c 0
b a 0 c b b
b a c c a b
b c 0 a b b
b c c a a b
a 0 0 a a a
a 0 c a b a
a b 0 c a a
a b c c b a
c 0 0 c c c
c 0 c c 0 c
c b 0 a c c
c b c a 0 c
a a 0 0 a a
a a c 0 b a
a c 0 b a a
a c c b b a
c a 0 b c c
c a c b 0 c
c c 0 0 c c
c c c 0 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 0x3 + 11x4 + 12x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0

Is it a nice code?: No

Generator Matrix-484

a 0 0 a a a
0 a 0 a 0 0
b 0 0 b b b
0 b 0 b 0 0
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b 0 b 0 0
0 b c b c c
b 0 0 b b b
b 0 c b a a
b b 0 0 b b
b b c 0 a a
0 a 0 a 0 0
0 a c a c c
0 c 0 c 0 0
0 c c c c c
b a 0 c b b
b a c c a a
b c 0 a b b
b c c a a a
a 0 0 a a a
a 0 c a b b
a b 0 c a a
a b c c b b
c 0 0 c c c
c 0 c c 0 0
c b 0 a c c
c b c a 0 0
a a 0 0 a a
a a c 0 b b
a c 0 b a a
a c c b b b
c a 0 b c c
c a c b 0 0
c c 0 0 c c
c c c 0 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 3x3 + 8x4 + 13x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)4 (X_b)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)4 (X_a)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0

Is it a nice code?: No

Generator Matrix-485

a 0 0 a a a
0 a 0 a 0 0
b 0 0 b b b
0 b 0 b 0 0
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b 0 b 0 0
0 b c a 0 0
b 0 0 b b b
b 0 c a b b
b b 0 0 b b
b b c c b b
0 a 0 a 0 0
0 a c b 0 0
0 c 0 c 0 0
0 c c 0 0 0
b a 0 c b b
b a c 0 b b
b c 0 a b b
b c c b b b
a 0 0 a a a
a 0 c b a a
a b 0 c a a
a b c 0 a a
c 0 0 c c c
c 0 c 0 c c
c b 0 a c c
c b c b c c
a a 0 0 a a
a a c c a a
a c 0 b a a
a c c a a a
c a 0 b c c
c a c a c c
c c 0 0 c c
c c c c c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 5x2 + 2x3 + 7x4 + 10x5 + 7x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_b)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_b)4 + (X_b)4 (X_c)2 + (X_0)4 (X_a)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_b)4 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_b)2 (X_c)4 + (X_0)2 (X_a)4 + (X_a)4 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)4 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_a)2 (X_c)4 + (X_0)2 (X_c)4 + (X_c)6

Dual Codewords:

0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0

Is it a nice code?: No

Generator Matrix-486

a 0 0 a a a
0 a 0 a 0 0
b 0 0 b b b
0 b 0 b 0 0
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b 0 b 0 0
0 b c a 0 c
b 0 0 b b b
b 0 c a b a
b b 0 0 b b
b b c c b a
0 a 0 a 0 0
0 a c b 0 c
0 c 0 c 0 0
0 c c 0 0 c
b a 0 c b b
b a c 0 b a
b c 0 a b b
b c c b b a
a 0 0 a a a
a 0 c b a b
a b 0 c a a
a b c 0 a b
c 0 0 c c c
c 0 c 0 c 0
c b 0 a c c
c b c b c 0
a a 0 0 a a
a a c c a b
a c 0 b a a
a c c a a b
c a 0 b c c
c a c a c 0
c c 0 0 c c
c c c c c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 3x3 + 8x4 + 13x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_b)4 + (X_a)1 (X_b)3 (X_c)2 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)4 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)2 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0

Is it a nice code?: No

Generator Matrix-487

a 0 0 a a a
0 a 0 a 0 0
b 0 0 b b b
0 b 0 b 0 0
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b 0 b 0 0
0 b c a c 0
b 0 0 b b b
b 0 c a a b
b b 0 0 b b
b b c c a b
0 a 0 a 0 0
0 a c b c 0
0 c 0 c 0 0
0 c c 0 c 0
b a 0 c b b
b a c 0 a b
b c 0 a b b
b c c b a b
a 0 0 a a a
a 0 c b b a
a b 0 c a a
a b c 0 b a
c 0 0 c c c
c 0 c 0 0 c
c b 0 a c c
c b c b 0 c
a a 0 0 a a
a a c c b a
a c 0 b a a
a c c a b a
c a 0 b c c
c a c a 0 c
c c 0 0 c c
c c c c 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 3x3 + 8x4 + 13x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_b)4 + (X_a)1 (X_b)3 (X_c)2 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)4 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)2 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0

Is it a nice code?: No

Generator Matrix-488

a 0 0 a a a
0 a 0 a 0 0
b 0 0 b b b
0 b 0 b 0 0
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b 0 b 0 0
0 b c a c c
b 0 0 b b b
b 0 c a a a
b b 0 0 b b
b b c c a a
0 a 0 a 0 0
0 a c b c c
0 c 0 c 0 0
0 c c 0 c c
b a 0 c b b
b a c 0 a a
b c 0 a b b
b c c b a a
a 0 0 a a a
a 0 c b b b
a b 0 c a a
a b c 0 b b
c 0 0 c c c
c 0 c 0 0 0
c b 0 a c c
c b c b 0 0
a a 0 0 a a
a a c c b b
a c 0 b a a
a c c a b b
c a 0 b c c
c a c a 0 0
c c 0 0 c c
c c c c 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 0x3 + 11x4 + 12x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)4 (X_b)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_b)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_b)4 + (X_a)2 (X_b)2 (X_c)2 + (X_0)4 (X_a)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0

Is it a nice code?: No

Generator Matrix-489

a 0 0 a a a
0 a 0 a 0 a
b 0 0 b b b
0 b 0 b 0 b
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b 0 b 0 b
0 b c b 0 b
b 0 0 b b b
b 0 c b b b
b b 0 0 b 0
b b c 0 b 0
0 a 0 a 0 a
0 a c a 0 a
0 c 0 c 0 c
0 c c c 0 c
b a 0 c b c
b a c c b c
b c 0 a b a
b c c a b a
a 0 0 a a a
a 0 c a a a
a b 0 c a c
a b c c a c
c 0 0 c c c
c 0 c c c c
c b 0 a c a
c b c a c a
a a 0 0 a 0
a a c 0 a 0
a c 0 b a b
a c c b a b
c a 0 b c b
c a c b c b
c c 0 0 c 0
c c c 0 c 0

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 0x2 + 6x3 + 9x4 + 9x5 + 6x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_b)3 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_b)4 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_b)3 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)3 (X_c)1 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)4 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_a)3 + (X_0)2 (X_a)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0

Is it a nice code?: No

Generator Matrix-490

a 0 0 a a a
0 a 0 a 0 a
b 0 0 b b b
0 b 0 b 0 b
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b 0 b 0 b
0 b c b 0 a
b 0 0 b b b
b 0 c b b a
b b 0 0 b 0
b b c 0 b c
0 a 0 a 0 a
0 a c a 0 b
0 c 0 c 0 c
0 c c c 0 0
b a 0 c b c
b a c c b 0
b c 0 a b a
b c c a b b
a 0 0 a a a
a 0 c a a b
a b 0 c a c
a b c c a 0
c 0 0 c c c
c 0 c c c 0
c b 0 a c a
c b c a c b
a a 0 0 a 0
a a c 0 a c
a c 0 b a b
a c c b a a
c a 0 b c b
c a c b c a
c c 0 0 c 0
c c c 0 c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 7x3 + 6x4 + 13x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)3 (X_b)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0

Is it a nice code?: No

Generator Matrix-491

a 0 0 a a a
0 a 0 a 0 a
b 0 0 b b b
0 b 0 b 0 b
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b 0 b 0 b
0 b c b c b
b 0 0 b b b
b 0 c b a b
b b 0 0 b 0
b b c 0 a 0
0 a 0 a 0 a
0 a c a c a
0 c 0 c 0 c
0 c c c c c
b a 0 c b c
b a c c a c
b c 0 a b a
b c c a a a
a 0 0 a a a
a 0 c a b a
a b 0 c a c
a b c c b c
c 0 0 c c c
c 0 c c 0 c
c b 0 a c a
c b c a 0 a
a a 0 0 a 0
a a c 0 b 0
a c 0 b a b
a c c b b b
c a 0 b c b
c a c b 0 b
c c 0 0 c 0
c c c 0 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 7x3 + 6x4 + 13x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0

Is it a nice code?: No

Generator Matrix-492

a 0 0 a a a
0 a 0 a 0 a
b 0 0 b b b
0 b 0 b 0 b
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b 0 b 0 b
0 b c b c a
b 0 0 b b b
b 0 c b a a
b b 0 0 b 0
b b c 0 a c
0 a 0 a 0 a
0 a c a c b
0 c 0 c 0 c
0 c c c c 0
b a 0 c b c
b a c c a 0
b c 0 a b a
b c c a a b
a 0 0 a a a
a 0 c a b b
a b 0 c a c
a b c c b 0
c 0 0 c c c
c 0 c c 0 0
c b 0 a c a
c b c a 0 b
a a 0 0 a 0
a a c 0 b c
a c 0 b a b
a c c b b a
c a 0 b c b
c a c b 0 a
c c 0 0 c 0
c c c 0 0 c

dmin: 3
Weight Enumerator: 1x0 + 0x1 + 0x2 + 8x3 + 5x4 + 16x5 + 2x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0

Is it a nice code?: No

Generator Matrix-493

a 0 0 a a a
0 a 0 a 0 a
b 0 0 b b b
0 b 0 b 0 b
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b 0 b 0 b
0 b c a 0 b
b 0 0 b b b
b 0 c a b b
b b 0 0 b 0
b b c c b 0
0 a 0 a 0 a
0 a c b 0 a
0 c 0 c 0 c
0 c c 0 0 c
b a 0 c b c
b a c 0 b c
b c 0 a b a
b c c b b a
a 0 0 a a a
a 0 c b a a
a b 0 c a c
a b c 0 a c
c 0 0 c c c
c 0 c 0 c c
c b 0 a c a
c b c b c a
a a 0 0 a 0
a a c c a 0
a c 0 b a b
a c c a a b
c a 0 b c b
c a c a c b
c c 0 0 c 0
c c c c c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 7x3 + 6x4 + 13x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)3 (X_b)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0

Is it a nice code?: No

Generator Matrix-494

a 0 0 a a a
0 a 0 a 0 a
b 0 0 b b b
0 b 0 b 0 b
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b 0 b 0 b
0 b c a 0 a
b 0 0 b b b
b 0 c a b a
b b 0 0 b 0
b b c c b c
0 a 0 a 0 a
0 a c b 0 b
0 c 0 c 0 c
0 c c 0 0 0
b a 0 c b c
b a c 0 b 0
b c 0 a b a
b c c b b b
a 0 0 a a a
a 0 c b a b
a b 0 c a c
a b c 0 a 0
c 0 0 c c c
c 0 c 0 c 0
c b 0 a c a
c b c b c b
a a 0 0 a 0
a a c c a c
a c 0 b a b
a c c a a a
c a 0 b c b
c a c a c a
c c 0 0 c 0
c c c c c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 8x3 + 7x4 + 8x5 + 7x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_b)3 + (X_b)3 (X_c)3 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_b)4 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_b)3 (X_c)3 + (X_0)3 (X_a)3 + (X_a)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)4 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)3 (X_c)3 + (X_0)3 (X_c)3 + (X_c)6

Dual Codewords:

0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0

Is it a nice code?: No

Generator Matrix-495

a 0 0 a a a
0 a 0 a 0 a
b 0 0 b b b
0 b 0 b 0 b
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b 0 b 0 b
0 b c a c b
b 0 0 b b b
b 0 c a a b
b b 0 0 b 0
b b c c a 0
0 a 0 a 0 a
0 a c b c a
0 c 0 c 0 c
0 c c 0 c c
b a 0 c b c
b a c 0 a c
b c 0 a b a
b c c b a a
a 0 0 a a a
a 0 c b b a
a b 0 c a c
a b c 0 b c
c 0 0 c c c
c 0 c 0 0 c
c b 0 a c a
c b c b 0 a
a a 0 0 a 0
a a c c b 0
a c 0 b a b
a c c a b b
c a 0 b c b
c a c a 0 b
c c 0 0 c 0
c c c c 0 0

dmin: 3
Weight Enumerator: 1x0 + 0x1 + 0x2 + 8x3 + 5x4 + 16x5 + 2x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0

Is it a nice code?: No

Generator Matrix-496

a 0 0 a a a
0 a 0 a 0 a
b 0 0 b b b
0 b 0 b 0 b
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b 0 b 0 b
0 b c a c a
b 0 0 b b b
b 0 c a a a
b b 0 0 b 0
b b c c a c
0 a 0 a 0 a
0 a c b c b
0 c 0 c 0 c
0 c c 0 c 0
b a 0 c b c
b a c 0 a 0
b c 0 a b a
b c c b a b
a 0 0 a a a
a 0 c b b b
a b 0 c a c
a b c 0 b 0
c 0 0 c c c
c 0 c 0 0 0
c b 0 a c a
c b c b 0 b
a a 0 0 a 0
a a c c b c
a c 0 b a b
a c c a b a
c a 0 b c b
c a c a 0 a
c c 0 0 c 0
c c c c 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 7x3 + 6x4 + 13x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)3 (X_b)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)3 (X_b)3 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)3 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0

Is it a nice code?: No

Generator Matrix-497

a 0 0 a a a
0 a 0 a a 0
b 0 0 b b b
0 b 0 b b 0
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b 0 b b 0
0 b c b b 0
b 0 0 b b b
b 0 c b b b
b b 0 0 0 b
b b c 0 0 b
0 a 0 a a 0
0 a c a a 0
0 c 0 c c 0
0 c c c c 0
b a 0 c c b
b a c c c b
b c 0 a a b
b c c a a b
a 0 0 a a a
a 0 c a a a
a b 0 c c a
a b c c c a
c 0 0 c c c
c 0 c c c c
c b 0 a a c
c b c a a c
a a 0 0 0 a
a a c 0 0 a
a c 0 b b a
a c c b b a
c a 0 b b c
c a c b b c
c c 0 0 0 c
c c c 0 0 c

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 0x2 + 6x3 + 9x4 + 9x5 + 6x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_b)3 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_b)4 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_b)3 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)3 (X_c)1 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)4 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_a)3 + (X_0)2 (X_a)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0

Is it a nice code?: No

Generator Matrix-498

a 0 0 a a a
0 a 0 a a 0
b 0 0 b b b
0 b 0 b b 0
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b 0 b b 0
0 b c b b c
b 0 0 b b b
b 0 c b b a
b b 0 0 0 b
b b c 0 0 a
0 a 0 a a 0
0 a c a a c
0 c 0 c c 0
0 c c c c c
b a 0 c c b
b a c c c a
b c 0 a a b
b c c a a a
a 0 0 a a a
a 0 c a a b
a b 0 c c a
a b c c c b
c 0 0 c c c
c 0 c c c 0
c b 0 a a c
c b c a a 0
a a 0 0 0 a
a a c 0 0 b
a c 0 b b a
a c c b b b
c a 0 b b c
c a c b b 0
c c 0 0 0 c
c c c 0 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 7x3 + 6x4 + 13x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0

Is it a nice code?: No

Generator Matrix-499

a 0 0 a a a
0 a 0 a a 0
b 0 0 b b b
0 b 0 b b 0
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b 0 b b 0
0 b c b a 0
b 0 0 b b b
b 0 c b a b
b b 0 0 0 b
b b c 0 c b
0 a 0 a a 0
0 a c a b 0
0 c 0 c c 0
0 c c c 0 0
b a 0 c c b
b a c c 0 b
b c 0 a a b
b c c a b b
a 0 0 a a a
a 0 c a b a
a b 0 c c a
a b c c 0 a
c 0 0 c c c
c 0 c c 0 c
c b 0 a a c
c b c a b c
a a 0 0 0 a
a a c 0 c a
a c 0 b b a
a c c b a a
c a 0 b b c
c a c b a c
c c 0 0 0 c
c c c 0 c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 7x3 + 6x4 + 13x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)3 (X_b)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0

Is it a nice code?: No

Generator Matrix-500

a 0 0 a a a
0 a 0 a a 0
b 0 0 b b b
0 b 0 b b 0
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b 0 b b 0
0 b c b a c
b 0 0 b b b
b 0 c b a a
b b 0 0 0 b
b b c 0 c a
0 a 0 a a 0
0 a c a b c
0 c 0 c c 0
0 c c c 0 c
b a 0 c c b
b a c c 0 a
b c 0 a a b
b c c a b a
a 0 0 a a a
a 0 c a b b
a b 0 c c a
a b c c 0 b
c 0 0 c c c
c 0 c c 0 0
c b 0 a a c
c b c a b 0
a a 0 0 0 a
a a c 0 c b
a c 0 b b a
a c c b a b
c a 0 b b c
c a c b a 0
c c 0 0 0 c
c c c 0 c 0

dmin: 3
Weight Enumerator: 1x0 + 0x1 + 0x2 + 8x3 + 5x4 + 16x5 + 2x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0

Is it a nice code?: No

Generator Matrix-501

a 0 0 a a a
0 a 0 a a 0
b 0 0 b b b
0 b 0 b b 0
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b 0 b b 0
0 b c a b 0
b 0 0 b b b
b 0 c a b b
b b 0 0 0 b
b b c c 0 b
0 a 0 a a 0
0 a c b a 0
0 c 0 c c 0
0 c c 0 c 0
b a 0 c c b
b a c 0 c b
b c 0 a a b
b c c b a b
a 0 0 a a a
a 0 c b a a
a b 0 c c a
a b c 0 c a
c 0 0 c c c
c 0 c 0 c c
c b 0 a a c
c b c b a c
a a 0 0 0 a
a a c c 0 a
a c 0 b b a
a c c a b a
c a 0 b b c
c a c a b c
c c 0 0 0 c
c c c c 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 7x3 + 6x4 + 13x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)3 (X_b)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0

Is it a nice code?: No

Generator Matrix-502

a 0 0 a a a
0 a 0 a a 0
b 0 0 b b b
0 b 0 b b 0
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b 0 b b 0
0 b c a b c
b 0 0 b b b
b 0 c a b a
b b 0 0 0 b
b b c c 0 a
0 a 0 a a 0
0 a c b a c
0 c 0 c c 0
0 c c 0 c c
b a 0 c c b
b a c 0 c a
b c 0 a a b
b c c b a a
a 0 0 a a a
a 0 c b a b
a b 0 c c a
a b c 0 c b
c 0 0 c c c
c 0 c 0 c 0
c b 0 a a c
c b c b a 0
a a 0 0 0 a
a a c c 0 b
a c 0 b b a
a c c a b b
c a 0 b b c
c a c a b 0
c c 0 0 0 c
c c c c 0 0

dmin: 3
Weight Enumerator: 1x0 + 0x1 + 0x2 + 8x3 + 5x4 + 16x5 + 2x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0

Is it a nice code?: No

Generator Matrix-503

a 0 0 a a a
0 a 0 a a 0
b 0 0 b b b
0 b 0 b b 0
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b 0 b b 0
0 b c a a 0
b 0 0 b b b
b 0 c a a b
b b 0 0 0 b
b b c c c b
0 a 0 a a 0
0 a c b b 0
0 c 0 c c 0
0 c c 0 0 0
b a 0 c c b
b a c 0 0 b
b c 0 a a b
b c c b b b
a 0 0 a a a
a 0 c b b a
a b 0 c c a
a b c 0 0 a
c 0 0 c c c
c 0 c 0 0 c
c b 0 a a c
c b c b b c
a a 0 0 0 a
a a c c c a
a c 0 b b a
a c c a a a
c a 0 b b c
c a c a a c
c c 0 0 0 c
c c c c c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 8x3 + 7x4 + 8x5 + 7x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_b)3 + (X_b)3 (X_c)3 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_b)4 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_b)3 (X_c)3 + (X_0)3 (X_a)3 + (X_a)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)4 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)3 (X_c)3 + (X_0)3 (X_c)3 + (X_c)6

Dual Codewords:

0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0

Is it a nice code?: No

Generator Matrix-504

a 0 0 a a a
0 a 0 a a 0
b 0 0 b b b
0 b 0 b b 0
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b 0 b b 0
0 b c a a c
b 0 0 b b b
b 0 c a a a
b b 0 0 0 b
b b c c c a
0 a 0 a a 0
0 a c b b c
0 c 0 c c 0
0 c c 0 0 c
b a 0 c c b
b a c 0 0 a
b c 0 a a b
b c c b b a
a 0 0 a a a
a 0 c b b b
a b 0 c c a
a b c 0 0 b
c 0 0 c c c
c 0 c 0 0 0
c b 0 a a c
c b c b b 0
a a 0 0 0 a
a a c c c b
a c 0 b b a
a c c a a b
c a 0 b b c
c a c a a 0
c c 0 0 0 c
c c c c c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 7x3 + 6x4 + 13x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)3 (X_b)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)3 (X_b)3 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)3 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0

Is it a nice code?: No

Generator Matrix-505

a 0 0 a a a
0 a 0 a a a
b 0 0 b b b
0 b 0 b b b
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b 0 b b b
0 b c b b b
b 0 0 b b b
b 0 c b b b
b b 0 0 0 0
b b c 0 0 0
0 a 0 a a a
0 a c a a a
0 c 0 c c c
0 c c c c c
b a 0 c c c
b a c c c c
b c 0 a a a
b c c a a a
a 0 0 a a a
a 0 c a a a
a b 0 c c c
a b c c c c
c 0 0 c c c
c 0 c c c c
c b 0 a a a
c b c a a a
a a 0 0 0 0
a a c 0 0 0
a c 0 b b b
a c c b b b
c a 0 b b b
c a c b b b
c c 0 0 0 0
c c c 0 0 0

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 3x2 + 3x3 + 6x4 + 12x5 + 6x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_b)4 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_b)4 (X_c)1 + (X_0)4 (X_b)2 + (X_0)3 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)4 (X_c)1 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_a)1 (X_b)1 (X_c)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)4 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_a)1 (X_b)1 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)4 (X_a)2 + (X_0)3 (X_a)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0

Is it a nice code?: No

Generator Matrix-506

a 0 0 a a a
0 a 0 a a a
b 0 0 b b b
0 b 0 b b b
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b 0 b b b
0 b c b b a
b 0 0 b b b
b 0 c b b a
b b 0 0 0 0
b b c 0 0 c
0 a 0 a a a
0 a c a a b
0 c 0 c c c
0 c c c c 0
b a 0 c c c
b a c c c 0
b c 0 a a a
b c c a a b
a 0 0 a a a
a 0 c a a b
a b 0 c c c
a b c c c 0
c 0 0 c c c
c 0 c c c 0
c b 0 a a a
c b c a a b
a a 0 0 0 0
a a c 0 0 c
a c 0 b b b
a c c b b a
c a 0 b b b
c a c b b a
c c 0 0 0 0
c c c 0 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 0x3 + 11x4 + 12x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0

Is it a nice code?: No

Generator Matrix-507

a 0 0 a a a
0 a 0 a a a
b 0 0 b b b
0 b 0 b b b
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b 0 b b b
0 b c b a b
b 0 0 b b b
b 0 c b a b
b b 0 0 0 0
b b c 0 c 0
0 a 0 a a a
0 a c a b a
0 c 0 c c c
0 c c c 0 c
b a 0 c c c
b a c c 0 c
b c 0 a a a
b c c a b a
a 0 0 a a a
a 0 c a b a
a b 0 c c c
a b c c 0 c
c 0 0 c c c
c 0 c c 0 c
c b 0 a a a
c b c a b a
a a 0 0 0 0
a a c 0 c 0
a c 0 b b b
a c c b a b
c a 0 b b b
c a c b a b
c c 0 0 0 0
c c c 0 c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 0x3 + 11x4 + 12x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0

Is it a nice code?: No

Generator Matrix-508

a 0 0 a a a
0 a 0 a a a
b 0 0 b b b
0 b 0 b b b
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b 0 b b b
0 b c b a a
b 0 0 b b b
b 0 c b a a
b b 0 0 0 0
b b c 0 c c
0 a 0 a a a
0 a c a b b
0 c 0 c c c
0 c c c 0 0
b a 0 c c c
b a c c 0 0
b c 0 a a a
b c c a b b
a 0 0 a a a
a 0 c a b b
a b 0 c c c
a b c c 0 0
c 0 0 c c c
c 0 c c 0 0
c b 0 a a a
c b c a b b
a a 0 0 0 0
a a c 0 c c
a c 0 b b b
a c c b a a
c a 0 b b b
c a c b a a
c c 0 0 0 0
c c c 0 c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 3x3 + 8x4 + 13x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)4 (X_b)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)4 (X_a)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0

Is it a nice code?: No

Generator Matrix-509

a 0 0 a a a
0 a 0 a a a
b 0 0 b b b
0 b 0 b b b
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b 0 b b b
0 b c a b b
b 0 0 b b b
b 0 c a b b
b b 0 0 0 0
b b c c 0 0
0 a 0 a a a
0 a c b a a
0 c 0 c c c
0 c c 0 c c
b a 0 c c c
b a c 0 c c
b c 0 a a a
b c c b a a
a 0 0 a a a
a 0 c b a a
a b 0 c c c
a b c 0 c c
c 0 0 c c c
c 0 c 0 c c
c b 0 a a a
c b c b a a
a a 0 0 0 0
a a c c 0 0
a c 0 b b b
a c c a b b
c a 0 b b b
c a c a b b
c c 0 0 0 0
c c c c 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 0x3 + 11x4 + 12x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0

Is it a nice code?: No

Generator Matrix-510

a 0 0 a a a
0 a 0 a a a
b 0 0 b b b
0 b 0 b b b
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b 0 b b b
0 b c a b a
b 0 0 b b b
b 0 c a b a
b b 0 0 0 0
b b c c 0 c
0 a 0 a a a
0 a c b a b
0 c 0 c c c
0 c c 0 c 0
b a 0 c c c
b a c 0 c 0
b c 0 a a a
b c c b a b
a 0 0 a a a
a 0 c b a b
a b 0 c c c
a b c 0 c 0
c 0 0 c c c
c 0 c 0 c 0
c b 0 a a a
c b c b a b
a a 0 0 0 0
a a c c 0 c
a c 0 b b b
a c c a b a
c a 0 b b b
c a c a b a
c c 0 0 0 0
c c c c 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 3x3 + 8x4 + 13x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)4 (X_b)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)4 (X_a)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0

Is it a nice code?: No

Generator Matrix-511

a 0 0 a a a
0 a 0 a a a
b 0 0 b b b
0 b 0 b b b
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b 0 b b b
0 b c a a b
b 0 0 b b b
b 0 c a a b
b b 0 0 0 0
b b c c c 0
0 a 0 a a a
0 a c b b a
0 c 0 c c c
0 c c 0 0 c
b a 0 c c c
b a c 0 0 c
b c 0 a a a
b c c b b a
a 0 0 a a a
a 0 c b b a
a b 0 c c c
a b c 0 0 c
c 0 0 c c c
c 0 c 0 0 c
c b 0 a a a
c b c b b a
a a 0 0 0 0
a a c c c 0
a c 0 b b b
a c c a a b
c a 0 b b b
c a c a a b
c c 0 0 0 0
c c c c c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 3x3 + 8x4 + 13x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)4 (X_b)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)4 (X_a)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0

Is it a nice code?: No

Generator Matrix-512

a 0 0 a a a
0 a 0 a a a
b 0 0 b b b
0 b 0 b b b
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b 0 b b b
0 b c a a a
b 0 0 b b b
b 0 c a a a
b b 0 0 0 0
b b c c c c
0 a 0 a a a
0 a c b b b
0 c 0 c c c
0 c c 0 0 0
b a 0 c c c
b a c 0 0 0
b c 0 a a a
b c c b b b
a 0 0 a a a
a 0 c b b b
a b 0 c c c
a b c 0 0 0
c 0 0 c c c
c 0 c 0 0 0
c b 0 a a a
c b c b b b
a a 0 0 0 0
a a c c c c
a c 0 b b b
a c c a a a
c a 0 b b b
c a c a a a
c c 0 0 0 0
c c c c c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 5x2 + 2x3 + 7x4 + 10x5 + 7x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)2 (X_b)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)4 (X_b)2 + (X_b)2 (X_c)4 + (X_0)2 (X_a)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_b)4 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_b)4 (X_c)2 + (X_0)4 (X_a)2 + (X_a)2 (X_c)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)4 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)4 (X_c)2 + (X_0)4 (X_c)2 + (X_c)6

Dual Codewords:

0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0

Is it a nice code?: No

Generator Matrix-513

a 0 0 0 0 0
0 a a 0 0 0
b 0 0 0 0 0
0 b b 0 0 0
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b b 0 0 0
0 b a 0 0 0
b 0 0 0 0 0
b 0 c 0 0 0
b b b 0 0 0
b b a 0 0 0
0 a a 0 0 0
0 a b 0 0 0
0 c c 0 0 0
0 c 0 0 0 0
b a a 0 0 0
b a b 0 0 0
b c c 0 0 0
b c 0 0 0 0
a 0 0 0 0 0
a 0 c 0 0 0
a b b 0 0 0
a b a 0 0 0
c 0 0 0 0 0
c 0 c 0 0 0
c b b 0 0 0
c b a 0 0 0
a a a 0 0 0
a a b 0 0 0
a c c 0 0 0
a c 0 0 0 0
c a a 0 0 0
c a b 0 0 0
c c c 0 0 0
c c 0 0 0 0

dmin: 1
Weight Enumerator: 1x0 + 5x1 + 11x2 + 15x3 + 0x4 + 0x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)4 (X_b)2 + (X_0)4 (X_a)1 (X_b)1 + (X_0)5 (X_b)1 + (X_0)4 (X_b)1 (X_c)1 + (X_0)3 (X_b)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)4 (X_a)2 + (X_0)4 (X_a)1 (X_b)1 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_a)2 (X_b)1 + (X_0)3 (X_a)1 (X_b)2 + (X_0)3 (X_b)1 (X_c)2 + (X_0)4 (X_b)1 (X_c)1 + (X_0)5 (X_a)1 + (X_0)4 (X_a)1 (X_c)1 + (X_0)3 (X_a)1 (X_b)2 + (X_0)3 (X_a)2 (X_b)1 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_b)2 (X_c)1 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)3 (X_a)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)3 (X_a)1 (X_c)2 + (X_0)4 (X_a)1 (X_c)1 + (X_0)3 (X_a)2 (X_c)1 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 a a 0
0 0 0 a a a
0 0 0 a a b
0 0 0 a a c
0 0 0 a b 0
0 0 0 a b a
0 0 0 a b b
0 0 0 a b c
0 0 0 a c 0
0 0 0 a c a
0 0 0 a c b
0 0 0 a c c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 b a 0
0 0 0 b a a
0 0 0 b a b
0 0 0 b a c
0 0 0 b b 0
0 0 0 b b a
0 0 0 b b b
0 0 0 b b c
0 0 0 b c 0
0 0 0 b c a
0 0 0 b c b
0 0 0 b c c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c
0 0 0 c a 0
0 0 0 c a a
0 0 0 c a b
0 0 0 c a c
0 0 0 c b 0
0 0 0 c b a
0 0 0 c b b
0 0 0 c b c
0 0 0 c c 0
0 0 0 c c a
0 0 0 c c b
0 0 0 c c c

Is it a nice code?: No

Generator Matrix-514

a 0 0 0 0 0
0 a a 0 0 0
b 0 0 0 0 0
0 b b 0 0 0
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b b 0 0 0
0 b a 0 0 c
b 0 0 0 0 0
b 0 c 0 0 c
b b b 0 0 0
b b a 0 0 c
0 a a 0 0 0
0 a b 0 0 c
0 c c 0 0 0
0 c 0 0 0 c
b a a 0 0 0
b a b 0 0 c
b c c 0 0 0
b c 0 0 0 c
a 0 0 0 0 0
a 0 c 0 0 c
a b b 0 0 0
a b a 0 0 c
c 0 0 0 0 0
c 0 c 0 0 c
c b b 0 0 0
c b a 0 0 c
a a a 0 0 0
a a b 0 0 c
a c c 0 0 0
a c 0 0 0 c
c a a 0 0 0
c a b 0 0 c
c c c 0 0 0
c c 0 0 0 c

dmin: 1
Weight Enumerator: 1x0 + 3x1 + 5x2 + 17x3 + 6x4 + 0x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_b)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)5 (X_b)1 + (X_0)3 (X_b)1 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)4 (X_a)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_a)2 (X_b)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_b)1 (X_c)2 + (X_0)3 (X_b)1 (X_c)2 + (X_0)5 (X_a)1 + (X_0)3 (X_a)1 (X_c)2 + (X_0)3 (X_a)1 (X_b)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_a)1 (X_c)2 + (X_0)3 (X_a)1 (X_c)2 + (X_0)3 (X_a)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 a a 0
0 0 0 a a a
0 0 0 a a b
0 0 0 a a c
0 0 0 a b 0
0 0 0 a b a
0 0 0 a b b
0 0 0 a b c
0 0 0 a c 0
0 0 0 a c a
0 0 0 a c b
0 0 0 a c c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 b a 0
0 0 0 b a a
0 0 0 b a b
0 0 0 b a c
0 0 0 b b 0
0 0 0 b b a
0 0 0 b b b
0 0 0 b b c
0 0 0 b c 0
0 0 0 b c a
0 0 0 b c b
0 0 0 b c c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c
0 0 0 c a 0
0 0 0 c a a
0 0 0 c a b
0 0 0 c a c
0 0 0 c b 0
0 0 0 c b a
0 0 0 c b b
0 0 0 c b c
0 0 0 c c 0
0 0 0 c c a
0 0 0 c c b
0 0 0 c c c

Is it a nice code?: No

Generator Matrix-515

a 0 0 0 0 0
0 a a 0 0 0
b 0 0 0 0 0
0 b b 0 0 0
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b b 0 0 0
0 b a 0 c 0
b 0 0 0 0 0
b 0 c 0 c 0
b b b 0 0 0
b b a 0 c 0
0 a a 0 0 0
0 a b 0 c 0
0 c c 0 0 0
0 c 0 0 c 0
b a a 0 0 0
b a b 0 c 0
b c c 0 0 0
b c 0 0 c 0
a 0 0 0 0 0
a 0 c 0 c 0
a b b 0 0 0
a b a 0 c 0
c 0 0 0 0 0
c 0 c 0 c 0
c b b 0 0 0
c b a 0 c 0
a a a 0 0 0
a a b 0 c 0
a c c 0 0 0
a c 0 0 c 0
c a a 0 0 0
c a b 0 c 0
c c c 0 0 0
c c 0 0 c 0

dmin: 1
Weight Enumerator: 1x0 + 3x1 + 5x2 + 17x3 + 6x4 + 0x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_b)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)5 (X_b)1 + (X_0)3 (X_b)1 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)4 (X_a)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_a)2 (X_b)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_b)1 (X_c)2 + (X_0)3 (X_b)1 (X_c)2 + (X_0)5 (X_a)1 + (X_0)3 (X_a)1 (X_c)2 + (X_0)3 (X_a)1 (X_b)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_a)1 (X_c)2 + (X_0)3 (X_a)1 (X_c)2 + (X_0)3 (X_a)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 a a 0
0 0 0 a a a
0 0 0 a a b
0 0 0 a a c
0 0 0 a b 0
0 0 0 a b a
0 0 0 a b b
0 0 0 a b c
0 0 0 a c 0
0 0 0 a c a
0 0 0 a c b
0 0 0 a c c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 b a 0
0 0 0 b a a
0 0 0 b a b
0 0 0 b a c
0 0 0 b b 0
0 0 0 b b a
0 0 0 b b b
0 0 0 b b c
0 0 0 b c 0
0 0 0 b c a
0 0 0 b c b
0 0 0 b c c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c
0 0 0 c a 0
0 0 0 c a a
0 0 0 c a b
0 0 0 c a c
0 0 0 c b 0
0 0 0 c b a
0 0 0 c b b
0 0 0 c b c
0 0 0 c c 0
0 0 0 c c a
0 0 0 c c b
0 0 0 c c c

Is it a nice code?: No

Generator Matrix-516

a 0 0 0 0 0
0 a a 0 0 0
b 0 0 0 0 0
0 b b 0 0 0
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b b 0 0 0
0 b a 0 c c
b 0 0 0 0 0
b 0 c 0 c c
b b b 0 0 0
b b a 0 c c
0 a a 0 0 0
0 a b 0 c c
0 c c 0 0 0
0 c 0 0 c c
b a a 0 0 0
b a b 0 c c
b c c 0 0 0
b c 0 0 c c
a 0 0 0 0 0
a 0 c 0 c c
a b b 0 0 0
a b a 0 c c
c 0 0 0 0 0
c 0 c 0 c c
c b b 0 0 0
c b a 0 c c
a a a 0 0 0
a a b 0 c c
a c c 0 0 0
a c 0 0 c c
c a a 0 0 0
c a b 0 c c
c c c 0 0 0
c c 0 0 c c

dmin: 1
Weight Enumerator: 1x0 + 3x1 + 3x2 + 11x3 + 8x4 + 6x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)5 (X_b)1 + (X_0)2 (X_b)1 (X_c)3 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_b)1 (X_c)2 + (X_0)2 (X_b)1 (X_c)3 + (X_0)5 (X_a)1 + (X_0)2 (X_a)1 (X_c)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)5 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)1 (X_c)2 + (X_0)2 (X_a)1 (X_c)3 + (X_0)3 (X_a)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 a a 0
0 0 0 a a a
0 0 0 a a b
0 0 0 a a c
0 0 0 a b 0
0 0 0 a b a
0 0 0 a b b
0 0 0 a b c
0 0 0 a c 0
0 0 0 a c a
0 0 0 a c b
0 0 0 a c c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 b a 0
0 0 0 b a a
0 0 0 b a b
0 0 0 b a c
0 0 0 b b 0
0 0 0 b b a
0 0 0 b b b
0 0 0 b b c
0 0 0 b c 0
0 0 0 b c a
0 0 0 b c b
0 0 0 b c c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c
0 0 0 c a 0
0 0 0 c a a
0 0 0 c a b
0 0 0 c a c
0 0 0 c b 0
0 0 0 c b a
0 0 0 c b b
0 0 0 c b c
0 0 0 c c 0
0 0 0 c c a
0 0 0 c c b
0 0 0 c c c

Is it a nice code?: No

Generator Matrix-517

a 0 0 0 0 0
0 a a 0 0 0
b 0 0 0 0 0
0 b b 0 0 0
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b b 0 0 0
0 b a c 0 0
b 0 0 0 0 0
b 0 c c 0 0
b b b 0 0 0
b b a c 0 0
0 a a 0 0 0
0 a b c 0 0
0 c c 0 0 0
0 c 0 c 0 0
b a a 0 0 0
b a b c 0 0
b c c 0 0 0
b c 0 c 0 0
a 0 0 0 0 0
a 0 c c 0 0
a b b 0 0 0
a b a c 0 0
c 0 0 0 0 0
c 0 c c 0 0
c b b 0 0 0
c b a c 0 0
a a a 0 0 0
a a b c 0 0
a c c 0 0 0
a c 0 c 0 0
c a a 0 0 0
c a b c 0 0
c c c 0 0 0
c c 0 c 0 0

dmin: 1
Weight Enumerator: 1x0 + 3x1 + 5x2 + 17x3 + 6x4 + 0x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_b)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)5 (X_b)1 + (X_0)3 (X_b)1 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)4 (X_a)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_a)2 (X_b)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_b)1 (X_c)2 + (X_0)3 (X_b)1 (X_c)2 + (X_0)5 (X_a)1 + (X_0)3 (X_a)1 (X_c)2 + (X_0)3 (X_a)1 (X_b)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_a)1 (X_c)2 + (X_0)3 (X_a)1 (X_c)2 + (X_0)3 (X_a)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 a a 0
0 0 0 a a a
0 0 0 a a b
0 0 0 a a c
0 0 0 a b 0
0 0 0 a b a
0 0 0 a b b
0 0 0 a b c
0 0 0 a c 0
0 0 0 a c a
0 0 0 a c b
0 0 0 a c c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 b a 0
0 0 0 b a a
0 0 0 b a b
0 0 0 b a c
0 0 0 b b 0
0 0 0 b b a
0 0 0 b b b
0 0 0 b b c
0 0 0 b c 0
0 0 0 b c a
0 0 0 b c b
0 0 0 b c c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c
0 0 0 c a 0
0 0 0 c a a
0 0 0 c a b
0 0 0 c a c
0 0 0 c b 0
0 0 0 c b a
0 0 0 c b b
0 0 0 c b c
0 0 0 c c 0
0 0 0 c c a
0 0 0 c c b
0 0 0 c c c

Is it a nice code?: No

Generator Matrix-518

a 0 0 0 0 0
0 a a 0 0 0
b 0 0 0 0 0
0 b b 0 0 0
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b b 0 0 0
0 b a c 0 c
b 0 0 0 0 0
b 0 c c 0 c
b b b 0 0 0
b b a c 0 c
0 a a 0 0 0
0 a b c 0 c
0 c c 0 0 0
0 c 0 c 0 c
b a a 0 0 0
b a b c 0 c
b c c 0 0 0
b c 0 c 0 c
a 0 0 0 0 0
a 0 c c 0 c
a b b 0 0 0
a b a c 0 c
c 0 0 0 0 0
c 0 c c 0 c
c b b 0 0 0
c b a c 0 c
a a a 0 0 0
a a b c 0 c
a c c 0 0 0
a c 0 c 0 c
c a a 0 0 0
c a b c 0 c
c c c 0 0 0
c c 0 c 0 c

dmin: 1
Weight Enumerator: 1x0 + 3x1 + 3x2 + 11x3 + 8x4 + 6x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)5 (X_b)1 + (X_0)2 (X_b)1 (X_c)3 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_b)1 (X_c)2 + (X_0)2 (X_b)1 (X_c)3 + (X_0)5 (X_a)1 + (X_0)2 (X_a)1 (X_c)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)5 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)1 (X_c)2 + (X_0)2 (X_a)1 (X_c)3 + (X_0)3 (X_a)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 a a 0
0 0 0 a a a
0 0 0 a a b
0 0 0 a a c
0 0 0 a b 0
0 0 0 a b a
0 0 0 a b b
0 0 0 a b c
0 0 0 a c 0
0 0 0 a c a
0 0 0 a c b
0 0 0 a c c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 b a 0
0 0 0 b a a
0 0 0 b a b
0 0 0 b a c
0 0 0 b b 0
0 0 0 b b a
0 0 0 b b b
0 0 0 b b c
0 0 0 b c 0
0 0 0 b c a
0 0 0 b c b
0 0 0 b c c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c
0 0 0 c a 0
0 0 0 c a a
0 0 0 c a b
0 0 0 c a c
0 0 0 c b 0
0 0 0 c b a
0 0 0 c b b
0 0 0 c b c
0 0 0 c c 0
0 0 0 c c a
0 0 0 c c b
0 0 0 c c c

Is it a nice code?: No

Generator Matrix-519

a 0 0 0 0 0
0 a a 0 0 0
b 0 0 0 0 0
0 b b 0 0 0
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b b 0 0 0
0 b a c c 0
b 0 0 0 0 0
b 0 c c c 0
b b b 0 0 0
b b a c c 0
0 a a 0 0 0
0 a b c c 0
0 c c 0 0 0
0 c 0 c c 0
b a a 0 0 0
b a b c c 0
b c c 0 0 0
b c 0 c c 0
a 0 0 0 0 0
a 0 c c c 0
a b b 0 0 0
a b a c c 0
c 0 0 0 0 0
c 0 c c c 0
c b b 0 0 0
c b a c c 0
a a a 0 0 0
a a b c c 0
a c c 0 0 0
a c 0 c c 0
c a a 0 0 0
c a b c c 0
c c c 0 0 0
c c 0 c c 0

dmin: 1
Weight Enumerator: 1x0 + 3x1 + 3x2 + 11x3 + 8x4 + 6x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)5 (X_b)1 + (X_0)2 (X_b)1 (X_c)3 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_b)1 (X_c)2 + (X_0)2 (X_b)1 (X_c)3 + (X_0)5 (X_a)1 + (X_0)2 (X_a)1 (X_c)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)5 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)1 (X_c)2 + (X_0)2 (X_a)1 (X_c)3 + (X_0)3 (X_a)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 a a 0
0 0 0 a a a
0 0 0 a a b
0 0 0 a a c
0 0 0 a b 0
0 0 0 a b a
0 0 0 a b b
0 0 0 a b c
0 0 0 a c 0
0 0 0 a c a
0 0 0 a c b
0 0 0 a c c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 b a 0
0 0 0 b a a
0 0 0 b a b
0 0 0 b a c
0 0 0 b b 0
0 0 0 b b a
0 0 0 b b b
0 0 0 b b c
0 0 0 b c 0
0 0 0 b c a
0 0 0 b c b
0 0 0 b c c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c
0 0 0 c a 0
0 0 0 c a a
0 0 0 c a b
0 0 0 c a c
0 0 0 c b 0
0 0 0 c b a
0 0 0 c b b
0 0 0 c b c
0 0 0 c c 0
0 0 0 c c a
0 0 0 c c b
0 0 0 c c c

Is it a nice code?: No

Generator Matrix-520

a 0 0 0 0 0
0 a a 0 0 0
b 0 0 0 0 0
0 b b 0 0 0
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b b 0 0 0
0 b a c c c
b 0 0 0 0 0
b 0 c c c c
b b b 0 0 0
b b a c c c
0 a a 0 0 0
0 a b c c c
0 c c 0 0 0
0 c 0 c c c
b a a 0 0 0
b a b c c c
b c c 0 0 0
b c 0 c c c
a 0 0 0 0 0
a 0 c c c c
a b b 0 0 0
a b a c c c
c 0 0 0 0 0
c 0 c c c c
c b b 0 0 0
c b a c c c
a a a 0 0 0
a a b c c c
a c c 0 0 0
a c 0 c c c
c a a 0 0 0
c a b c c c
c c c 0 0 0
c c 0 c c c

dmin: 1
Weight Enumerator: 1x0 + 3x1 + 3x2 + 9x3 + 2x4 + 8x5 + 6x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)4 (X_b)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)5 (X_b)1 + (X_0)1 (X_b)1 (X_c)4 + (X_0)3 (X_b)3 + (X_a)1 (X_b)2 (X_c)3 + (X_0)4 (X_a)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_a)2 (X_b)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_b)1 (X_c)2 + (X_0)1 (X_b)1 (X_c)4 + (X_0)5 (X_a)1 + (X_0)1 (X_a)1 (X_c)4 + (X_0)3 (X_a)1 (X_b)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)5 (X_c)1 + (X_0)1 (X_c)5 + (X_0)3 (X_b)2 (X_c)1 + (X_a)1 (X_b)1 (X_c)4 + (X_0)3 (X_a)3 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_a)1 (X_c)2 + (X_0)1 (X_a)1 (X_c)4 + (X_0)3 (X_a)2 (X_c)1 + (X_a)1 (X_b)1 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 a a 0
0 0 0 a a a
0 0 0 a a b
0 0 0 a a c
0 0 0 a b 0
0 0 0 a b a
0 0 0 a b b
0 0 0 a b c
0 0 0 a c 0
0 0 0 a c a
0 0 0 a c b
0 0 0 a c c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 b a 0
0 0 0 b a a
0 0 0 b a b
0 0 0 b a c
0 0 0 b b 0
0 0 0 b b a
0 0 0 b b b
0 0 0 b b c
0 0 0 b c 0
0 0 0 b c a
0 0 0 b c b
0 0 0 b c c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c
0 0 0 c a 0
0 0 0 c a a
0 0 0 c a b
0 0 0 c a c
0 0 0 c b 0
0 0 0 c b a
0 0 0 c b b
0 0 0 c b c
0 0 0 c c 0
0 0 0 c c a
0 0 0 c c b
0 0 0 c c c

Is it a nice code?: No

Generator Matrix-521

a 0 0 0 0 0
0 a a 0 0 a
b 0 0 0 0 0
0 b b 0 0 b
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b b 0 0 b
0 b a 0 0 b
b 0 0 0 0 0
b 0 c 0 0 0
b b b 0 0 b
b b a 0 0 b
0 a a 0 0 a
0 a b 0 0 a
0 c c 0 0 c
0 c 0 0 0 c
b a a 0 0 a
b a b 0 0 a
b c c 0 0 c
b c 0 0 0 c
a 0 0 0 0 0
a 0 c 0 0 0
a b b 0 0 b
a b a 0 0 b
c 0 0 0 0 0
c 0 c 0 0 0
c b b 0 0 b
c b a 0 0 b
a a a 0 0 a
a a b 0 0 a
a c c 0 0 c
a c 0 0 0 c
c a a 0 0 a
c a b 0 0 a
c c c 0 0 c
c c 0 0 0 c

dmin: 1
Weight Enumerator: 1x0 + 4x1 + 4x2 + 8x3 + 15x4 + 0x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)3 (X_b)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)5 (X_b)1 + (X_0)4 (X_b)1 (X_c)1 + (X_0)2 (X_b)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)3 (X_a)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_a)3 (X_b)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_b)1 (X_c)3 + (X_0)3 (X_b)1 (X_c)2 + (X_0)5 (X_a)1 + (X_0)4 (X_a)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)3 + (X_0)2 (X_a)2 (X_b)2 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)2 (X_b)3 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)2 (X_a)1 (X_c)3 + (X_0)3 (X_a)1 (X_c)2 + (X_0)2 (X_a)3 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 0 a 0 0
0 0 0 a a 0
0 0 0 a b 0
0 0 0 a c 0
0 0 0 b 0 0
0 0 0 b a 0
0 0 0 b b 0
0 0 0 b c 0
0 0 0 c 0 0
0 0 0 c a 0
0 0 0 c b 0
0 0 0 c c 0

Is it a nice code?: No

Generator Matrix-522

a 0 0 0 0 0
0 a a 0 0 a
b 0 0 0 0 0
0 b b 0 0 b
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b b 0 0 b
0 b a 0 0 a
b 0 0 0 0 0
b 0 c 0 0 c
b b b 0 0 b
b b a 0 0 a
0 a a 0 0 a
0 a b 0 0 b
0 c c 0 0 c
0 c 0 0 0 0
b a a 0 0 a
b a b 0 0 b
b c c 0 0 c
b c 0 0 0 0
a 0 0 0 0 0
a 0 c 0 0 c
a b b 0 0 b
a b a 0 0 a
c 0 0 0 0 0
c 0 c 0 0 c
c b b 0 0 b
c b a 0 0 a
a a a 0 0 a
a a b 0 0 b
a c c 0 0 c
a c 0 0 0 0
c a a 0 0 a
c a b 0 0 b
c c c 0 0 c
c c 0 0 0 0

dmin: 1
Weight Enumerator: 1x0 + 4x1 + 4x2 + 8x3 + 15x4 + 0x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)5 (X_b)1 + (X_0)3 (X_b)1 (X_c)2 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)3 (X_a)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)2 (X_a)3 (X_b)1 + (X_0)2 (X_a)1 (X_b)3 + (X_0)2 (X_b)1 (X_c)3 + (X_0)4 (X_b)1 (X_c)1 + (X_0)5 (X_a)1 + (X_0)3 (X_a)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)3 + (X_0)2 (X_a)3 (X_b)1 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)2 (X_b)3 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_a)1 (X_c)3 + (X_0)4 (X_a)1 (X_c)1 + (X_0)2 (X_a)3 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 0 a 0 0
0 0 0 a a 0
0 0 0 a b 0
0 0 0 a c 0
0 0 0 b 0 0
0 0 0 b a 0
0 0 0 b b 0
0 0 0 b c 0
0 0 0 c 0 0
0 0 0 c a 0
0 0 0 c b 0
0 0 0 c c 0

Is it a nice code?: No

Generator Matrix-523

a 0 0 0 0 0
0 a a 0 0 a
b 0 0 0 0 0
0 b b 0 0 b
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b b 0 0 b
0 b a 0 c b
b 0 0 0 0 0
b 0 c 0 c 0
b b b 0 0 b
b b a 0 c b
0 a a 0 0 a
0 a b 0 c a
0 c c 0 0 c
0 c 0 0 c c
b a a 0 0 a
b a b 0 c a
b c c 0 0 c
b c 0 0 c c
a 0 0 0 0 0
a 0 c 0 c 0
a b b 0 0 b
a b a 0 c b
c 0 0 0 0 0
c 0 c 0 c 0
c b b 0 0 b
c b a 0 c b
a a a 0 0 a
a a b 0 c a
a c c 0 0 c
a c 0 0 c c
c a a 0 0 a
c a b 0 c a
c c c 0 0 c
c c 0 0 c c

dmin: 1
Weight Enumerator: 1x0 + 3x1 + 1x2 + 7x3 + 14x4 + 6x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)5 (X_b)1 + (X_0)3 (X_b)1 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_b)1 (X_c)3 + (X_0)2 (X_b)1 (X_c)3 + (X_0)5 (X_a)1 + (X_0)3 (X_a)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_c)3 + (X_0)2 (X_a)1 (X_c)3 + (X_0)2 (X_a)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 0 a 0 0
0 0 0 a a 0
0 0 0 a b 0
0 0 0 a c 0
0 0 0 b 0 0
0 0 0 b a 0
0 0 0 b b 0
0 0 0 b c 0
0 0 0 c 0 0
0 0 0 c a 0
0 0 0 c b 0
0 0 0 c c 0

Is it a nice code?: No

Generator Matrix-524

a 0 0 0 0 0
0 a a 0 0 a
b 0 0 0 0 0
0 b b 0 0 b
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b b 0 0 b
0 b a 0 c a
b 0 0 0 0 0
b 0 c 0 c c
b b b 0 0 b
b b a 0 c a
0 a a 0 0 a
0 a b 0 c b
0 c c 0 0 c
0 c 0 0 c 0
b a a 0 0 a
b a b 0 c b
b c c 0 0 c
b c 0 0 c 0
a 0 0 0 0 0
a 0 c 0 c c
a b b 0 0 b
a b a 0 c a
c 0 0 0 0 0
c 0 c 0 c c
c b b 0 0 b
c b a 0 c a
a a a 0 0 a
a a b 0 c b
a c c 0 0 c
a c 0 0 c 0
c a a 0 0 a
c a b 0 c b
c c c 0 0 c
c c 0 0 c 0

dmin: 1
Weight Enumerator: 1x0 + 3x1 + 1x2 + 7x3 + 14x4 + 6x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)5 (X_b)1 + (X_0)2 (X_b)1 (X_c)3 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_b)1 (X_c)3 + (X_0)3 (X_b)1 (X_c)2 + (X_0)5 (X_a)1 + (X_0)2 (X_a)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)5 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_c)3 + (X_0)3 (X_a)1 (X_c)2 + (X_0)2 (X_a)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 0 a 0 0
0 0 0 a a 0
0 0 0 a b 0
0 0 0 a c 0
0 0 0 b 0 0
0 0 0 b a 0
0 0 0 b b 0
0 0 0 b c 0
0 0 0 c 0 0
0 0 0 c a 0
0 0 0 c b 0
0 0 0 c c 0

Is it a nice code?: No

Generator Matrix-525

a 0 0 0 0 0
0 a a 0 0 a
b 0 0 0 0 0
0 b b 0 0 b
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b b 0 0 b
0 b a c 0 b
b 0 0 0 0 0
b 0 c c 0 0
b b b 0 0 b
b b a c 0 b
0 a a 0 0 a
0 a b c 0 a
0 c c 0 0 c
0 c 0 c 0 c
b a a 0 0 a
b a b c 0 a
b c c 0 0 c
b c 0 c 0 c
a 0 0 0 0 0
a 0 c c 0 0
a b b 0 0 b
a b a c 0 b
c 0 0 0 0 0
c 0 c c 0 0
c b b 0 0 b
c b a c 0 b
a a a 0 0 a
a a b c 0 a
a c c 0 0 c
a c 0 c 0 c
c a a 0 0 a
c a b c 0 a
c c c 0 0 c
c c 0 c 0 c

dmin: 1
Weight Enumerator: 1x0 + 3x1 + 1x2 + 7x3 + 14x4 + 6x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)5 (X_b)1 + (X_0)3 (X_b)1 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_b)1 (X_c)3 + (X_0)2 (X_b)1 (X_c)3 + (X_0)5 (X_a)1 + (X_0)3 (X_a)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_c)3 + (X_0)2 (X_a)1 (X_c)3 + (X_0)2 (X_a)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 0 a 0 0
0 0 0 a a 0
0 0 0 a b 0
0 0 0 a c 0
0 0 0 b 0 0
0 0 0 b a 0
0 0 0 b b 0
0 0 0 b c 0
0 0 0 c 0 0
0 0 0 c a 0
0 0 0 c b 0
0 0 0 c c 0

Is it a nice code?: No

Generator Matrix-526

a 0 0 0 0 0
0 a a 0 0 a
b 0 0 0 0 0
0 b b 0 0 b
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b b 0 0 b
0 b a c 0 a
b 0 0 0 0 0
b 0 c c 0 c
b b b 0 0 b
b b a c 0 a
0 a a 0 0 a
0 a b c 0 b
0 c c 0 0 c
0 c 0 c 0 0
b a a 0 0 a
b a b c 0 b
b c c 0 0 c
b c 0 c 0 0
a 0 0 0 0 0
a 0 c c 0 c
a b b 0 0 b
a b a c 0 a
c 0 0 0 0 0
c 0 c c 0 c
c b b 0 0 b
c b a c 0 a
a a a 0 0 a
a a b c 0 b
a c c 0 0 c
a c 0 c 0 0
c a a 0 0 a
c a b c 0 b
c c c 0 0 c
c c 0 c 0 0

dmin: 1
Weight Enumerator: 1x0 + 3x1 + 1x2 + 7x3 + 14x4 + 6x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)5 (X_b)1 + (X_0)2 (X_b)1 (X_c)3 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_b)1 (X_c)3 + (X_0)3 (X_b)1 (X_c)2 + (X_0)5 (X_a)1 + (X_0)2 (X_a)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)5 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_c)3 + (X_0)3 (X_a)1 (X_c)2 + (X_0)2 (X_a)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 0 a 0 0
0 0 0 a a 0
0 0 0 a b 0
0 0 0 a c 0
0 0 0 b 0 0
0 0 0 b a 0
0 0 0 b b 0
0 0 0 b c 0
0 0 0 c 0 0
0 0 0 c a 0
0 0 0 c b 0
0 0 0 c c 0

Is it a nice code?: No

Generator Matrix-527

a 0 0 0 0 0
0 a a 0 0 a
b 0 0 0 0 0
0 b b 0 0 b
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b b 0 0 b
0 b a c c b
b 0 0 0 0 0
b 0 c c c 0
b b b 0 0 b
b b a c c b
0 a a 0 0 a
0 a b c c a
0 c c 0 0 c
0 c 0 c c c
b a a 0 0 a
b a b c c a
b c c 0 0 c
b c 0 c c c
a 0 0 0 0 0
a 0 c c c 0
a b b 0 0 b
a b a c c b
c 0 0 0 0 0
c 0 c c c 0
c b b 0 0 b
c b a c c b
a a a 0 0 a
a a b c c a
a c c 0 0 c
a c 0 c c c
c a a 0 0 a
c a b c c a
c c c 0 0 c
c c 0 c c c

dmin: 1
Weight Enumerator: 1x0 + 3x1 + 0x2 + 4x3 + 13x4 + 5x5 + 6x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)5 (X_b)1 + (X_0)2 (X_b)1 (X_c)3 + (X_0)2 (X_b)4 + (X_a)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_a)3 (X_b)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_b)1 (X_c)3 + (X_0)1 (X_b)1 (X_c)4 + (X_0)5 (X_a)1 + (X_0)2 (X_a)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)3 + (X_a)2 (X_b)2 (X_c)2 + (X_0)5 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_b)3 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)4 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_c)3 + (X_0)1 (X_a)1 (X_c)4 + (X_0)2 (X_a)3 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 0 a 0 0
0 0 0 a a 0
0 0 0 a b 0
0 0 0 a c 0
0 0 0 b 0 0
0 0 0 b a 0
0 0 0 b b 0
0 0 0 b c 0
0 0 0 c 0 0
0 0 0 c a 0
0 0 0 c b 0
0 0 0 c c 0

Is it a nice code?: No

Generator Matrix-528

a 0 0 0 0 0
0 a a 0 0 a
b 0 0 0 0 0
0 b b 0 0 b
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b b 0 0 b
0 b a c c a
b 0 0 0 0 0
b 0 c c c c
b b b 0 0 b
b b a c c a
0 a a 0 0 a
0 a b c c b
0 c c 0 0 c
0 c 0 c c 0
b a a 0 0 a
b a b c c b
b c c 0 0 c
b c 0 c c 0
a 0 0 0 0 0
a 0 c c c c
a b b 0 0 b
a b a c c a
c 0 0 0 0 0
c 0 c c c c
c b b 0 0 b
c b a c c a
a a a 0 0 a
a a b c c b
a c c 0 0 c
a c 0 c c 0
c a a 0 0 a
c a b c c b
c c c 0 0 c
c c 0 c c 0

dmin: 1
Weight Enumerator: 1x0 + 3x1 + 0x2 + 4x3 + 13x4 + 5x5 + 6x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)3 (X_b)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)5 (X_b)1 + (X_0)1 (X_b)1 (X_c)4 + (X_0)2 (X_b)4 + (X_a)2 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_a)3 (X_b)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_b)1 (X_c)3 + (X_0)2 (X_b)1 (X_c)3 + (X_0)5 (X_a)1 + (X_0)1 (X_a)1 (X_c)4 + (X_0)2 (X_a)1 (X_b)3 + (X_a)3 (X_b)1 (X_c)2 + (X_0)5 (X_c)1 + (X_0)1 (X_c)5 + (X_0)2 (X_b)3 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)4 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_c)3 + (X_0)2 (X_a)1 (X_c)3 + (X_0)2 (X_a)3 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 0 a 0 0
0 0 0 a a 0
0 0 0 a b 0
0 0 0 a c 0
0 0 0 b 0 0
0 0 0 b a 0
0 0 0 b b 0
0 0 0 b c 0
0 0 0 c 0 0
0 0 0 c a 0
0 0 0 c b 0
0 0 0 c c 0

Is it a nice code?: No

Generator Matrix-529

a 0 0 0 0 0
0 a a 0 a 0
b 0 0 0 0 0
0 b b 0 b 0
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b b 0 b 0
0 b a 0 b 0
b 0 0 0 0 0
b 0 c 0 0 0
b b b 0 b 0
b b a 0 b 0
0 a a 0 a 0
0 a b 0 a 0
0 c c 0 c 0
0 c 0 0 c 0
b a a 0 a 0
b a b 0 a 0
b c c 0 c 0
b c 0 0 c 0
a 0 0 0 0 0
a 0 c 0 0 0
a b b 0 b 0
a b a 0 b 0
c 0 0 0 0 0
c 0 c 0 0 0
c b b 0 b 0
c b a 0 b 0
a a a 0 a 0
a a b 0 a 0
a c c 0 c 0
a c 0 0 c 0
c a a 0 a 0
c a b 0 a 0
c c c 0 c 0
c c 0 0 c 0

dmin: 1
Weight Enumerator: 1x0 + 4x1 + 4x2 + 8x3 + 15x4 + 0x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)3 (X_b)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)5 (X_b)1 + (X_0)4 (X_b)1 (X_c)1 + (X_0)2 (X_b)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)3 (X_a)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_a)3 (X_b)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_b)1 (X_c)3 + (X_0)3 (X_b)1 (X_c)2 + (X_0)5 (X_a)1 + (X_0)4 (X_a)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)3 + (X_0)2 (X_a)2 (X_b)2 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)2 (X_b)3 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)2 (X_a)1 (X_c)3 + (X_0)3 (X_a)1 (X_c)2 + (X_0)2 (X_a)3 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c

Is it a nice code?: No

Generator Matrix-530

a 0 0 0 0 0
0 a a 0 a 0
b 0 0 0 0 0
0 b b 0 b 0
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b b 0 b 0
0 b a 0 b c
b 0 0 0 0 0
b 0 c 0 0 c
b b b 0 b 0
b b a 0 b c
0 a a 0 a 0
0 a b 0 a c
0 c c 0 c 0
0 c 0 0 c c
b a a 0 a 0
b a b 0 a c
b c c 0 c 0
b c 0 0 c c
a 0 0 0 0 0
a 0 c 0 0 c
a b b 0 b 0
a b a 0 b c
c 0 0 0 0 0
c 0 c 0 0 c
c b b 0 b 0
c b a 0 b c
a a a 0 a 0
a a b 0 a c
a c c 0 c 0
a c 0 0 c c
c a a 0 a 0
c a b 0 a c
c c c 0 c 0
c c 0 0 c c

dmin: 1
Weight Enumerator: 1x0 + 3x1 + 1x2 + 7x3 + 14x4 + 6x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)5 (X_b)1 + (X_0)3 (X_b)1 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_b)1 (X_c)3 + (X_0)2 (X_b)1 (X_c)3 + (X_0)5 (X_a)1 + (X_0)3 (X_a)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_c)3 + (X_0)2 (X_a)1 (X_c)3 + (X_0)2 (X_a)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c

Is it a nice code?: No

Generator Matrix-531

a 0 0 0 0 0
0 a a 0 a 0
b 0 0 0 0 0
0 b b 0 b 0
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b b 0 b 0
0 b a 0 a 0
b 0 0 0 0 0
b 0 c 0 c 0
b b b 0 b 0
b b a 0 a 0
0 a a 0 a 0
0 a b 0 b 0
0 c c 0 c 0
0 c 0 0 0 0
b a a 0 a 0
b a b 0 b 0
b c c 0 c 0
b c 0 0 0 0
a 0 0 0 0 0
a 0 c 0 c 0
a b b 0 b 0
a b a 0 a 0
c 0 0 0 0 0
c 0 c 0 c 0
c b b 0 b 0
c b a 0 a 0
a a a 0 a 0
a a b 0 b 0
a c c 0 c 0
a c 0 0 0 0
c a a 0 a 0
c a b 0 b 0
c c c 0 c 0
c c 0 0 0 0

dmin: 1
Weight Enumerator: 1x0 + 4x1 + 4x2 + 8x3 + 15x4 + 0x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)5 (X_b)1 + (X_0)3 (X_b)1 (X_c)2 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)3 (X_a)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)2 (X_a)3 (X_b)1 + (X_0)2 (X_a)1 (X_b)3 + (X_0)2 (X_b)1 (X_c)3 + (X_0)4 (X_b)1 (X_c)1 + (X_0)5 (X_a)1 + (X_0)3 (X_a)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)3 + (X_0)2 (X_a)3 (X_b)1 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)2 (X_b)3 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_a)1 (X_c)3 + (X_0)4 (X_a)1 (X_c)1 + (X_0)2 (X_a)3 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c

Is it a nice code?: No

Generator Matrix-532

a 0 0 0 0 0
0 a a 0 a 0
b 0 0 0 0 0
0 b b 0 b 0
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b b 0 b 0
0 b a 0 a c
b 0 0 0 0 0
b 0 c 0 c c
b b b 0 b 0
b b a 0 a c
0 a a 0 a 0
0 a b 0 b c
0 c c 0 c 0
0 c 0 0 0 c
b a a 0 a 0
b a b 0 b c
b c c 0 c 0
b c 0 0 0 c
a 0 0 0 0 0
a 0 c 0 c c
a b b 0 b 0
a b a 0 a c
c 0 0 0 0 0
c 0 c 0 c c
c b b 0 b 0
c b a 0 a c
a a a 0 a 0
a a b 0 b c
a c c 0 c 0
a c 0 0 0 c
c a a 0 a 0
c a b 0 b c
c c c 0 c 0
c c 0 0 0 c

dmin: 1
Weight Enumerator: 1x0 + 3x1 + 1x2 + 7x3 + 14x4 + 6x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)5 (X_b)1 + (X_0)2 (X_b)1 (X_c)3 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_b)1 (X_c)3 + (X_0)3 (X_b)1 (X_c)2 + (X_0)5 (X_a)1 + (X_0)2 (X_a)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)5 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_c)3 + (X_0)3 (X_a)1 (X_c)2 + (X_0)2 (X_a)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c

Is it a nice code?: No

Generator Matrix-533

a 0 0 0 0 0
0 a a 0 a 0
b 0 0 0 0 0
0 b b 0 b 0
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b b 0 b 0
0 b a c b 0
b 0 0 0 0 0
b 0 c c 0 0
b b b 0 b 0
b b a c b 0
0 a a 0 a 0
0 a b c a 0
0 c c 0 c 0
0 c 0 c c 0
b a a 0 a 0
b a b c a 0
b c c 0 c 0
b c 0 c c 0
a 0 0 0 0 0
a 0 c c 0 0
a b b 0 b 0
a b a c b 0
c 0 0 0 0 0
c 0 c c 0 0
c b b 0 b 0
c b a c b 0
a a a 0 a 0
a a b c a 0
a c c 0 c 0
a c 0 c c 0
c a a 0 a 0
c a b c a 0
c c c 0 c 0
c c 0 c c 0

dmin: 1
Weight Enumerator: 1x0 + 3x1 + 1x2 + 7x3 + 14x4 + 6x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)5 (X_b)1 + (X_0)3 (X_b)1 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_b)1 (X_c)3 + (X_0)2 (X_b)1 (X_c)3 + (X_0)5 (X_a)1 + (X_0)3 (X_a)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_c)3 + (X_0)2 (X_a)1 (X_c)3 + (X_0)2 (X_a)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c

Is it a nice code?: No

Generator Matrix-534

a 0 0 0 0 0
0 a a 0 a 0
b 0 0 0 0 0
0 b b 0 b 0
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b b 0 b 0
0 b a c b c
b 0 0 0 0 0
b 0 c c 0 c
b b b 0 b 0
b b a c b c
0 a a 0 a 0
0 a b c a c
0 c c 0 c 0
0 c 0 c c c
b a a 0 a 0
b a b c a c
b c c 0 c 0
b c 0 c c c
a 0 0 0 0 0
a 0 c c 0 c
a b b 0 b 0
a b a c b c
c 0 0 0 0 0
c 0 c c 0 c
c b b 0 b 0
c b a c b c
a a a 0 a 0
a a b c a c
a c c 0 c 0
a c 0 c c c
c a a 0 a 0
c a b c a c
c c c 0 c 0
c c 0 c c c

dmin: 1
Weight Enumerator: 1x0 + 3x1 + 0x2 + 4x3 + 13x4 + 5x5 + 6x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)5 (X_b)1 + (X_0)2 (X_b)1 (X_c)3 + (X_0)2 (X_b)4 + (X_a)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_a)3 (X_b)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_b)1 (X_c)3 + (X_0)1 (X_b)1 (X_c)4 + (X_0)5 (X_a)1 + (X_0)2 (X_a)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)3 + (X_a)2 (X_b)2 (X_c)2 + (X_0)5 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_b)3 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)4 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_c)3 + (X_0)1 (X_a)1 (X_c)4 + (X_0)2 (X_a)3 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c

Is it a nice code?: No

Generator Matrix-535

a 0 0 0 0 0
0 a a 0 a 0
b 0 0 0 0 0
0 b b 0 b 0
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b b 0 b 0
0 b a c a 0
b 0 0 0 0 0
b 0 c c c 0
b b b 0 b 0
b b a c a 0
0 a a 0 a 0
0 a b c b 0
0 c c 0 c 0
0 c 0 c 0 0
b a a 0 a 0
b a b c b 0
b c c 0 c 0
b c 0 c 0 0
a 0 0 0 0 0
a 0 c c c 0
a b b 0 b 0
a b a c a 0
c 0 0 0 0 0
c 0 c c c 0
c b b 0 b 0
c b a c a 0
a a a 0 a 0
a a b c b 0
a c c 0 c 0
a c 0 c 0 0
c a a 0 a 0
c a b c b 0
c c c 0 c 0
c c 0 c 0 0

dmin: 1
Weight Enumerator: 1x0 + 3x1 + 1x2 + 7x3 + 14x4 + 6x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)5 (X_b)1 + (X_0)2 (X_b)1 (X_c)3 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_b)1 (X_c)3 + (X_0)3 (X_b)1 (X_c)2 + (X_0)5 (X_a)1 + (X_0)2 (X_a)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)5 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_c)3 + (X_0)3 (X_a)1 (X_c)2 + (X_0)2 (X_a)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c

Is it a nice code?: No

Generator Matrix-536

a 0 0 0 0 0
0 a a 0 a 0
b 0 0 0 0 0
0 b b 0 b 0
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b b 0 b 0
0 b a c a c
b 0 0 0 0 0
b 0 c c c c
b b b 0 b 0
b b a c a c
0 a a 0 a 0
0 a b c b c
0 c c 0 c 0
0 c 0 c 0 c
b a a 0 a 0
b a b c b c
b c c 0 c 0
b c 0 c 0 c
a 0 0 0 0 0
a 0 c c c c
a b b 0 b 0
a b a c a c
c 0 0 0 0 0
c 0 c c c c
c b b 0 b 0
c b a c a c
a a a 0 a 0
a a b c b c
a c c 0 c 0
a c 0 c 0 c
c a a 0 a 0
c a b c b c
c c c 0 c 0
c c 0 c 0 c

dmin: 1
Weight Enumerator: 1x0 + 3x1 + 0x2 + 4x3 + 13x4 + 5x5 + 6x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)3 (X_b)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)5 (X_b)1 + (X_0)1 (X_b)1 (X_c)4 + (X_0)2 (X_b)4 + (X_a)2 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_a)3 (X_b)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_b)1 (X_c)3 + (X_0)2 (X_b)1 (X_c)3 + (X_0)5 (X_a)1 + (X_0)1 (X_a)1 (X_c)4 + (X_0)2 (X_a)1 (X_b)3 + (X_a)3 (X_b)1 (X_c)2 + (X_0)5 (X_c)1 + (X_0)1 (X_c)5 + (X_0)2 (X_b)3 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)4 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_c)3 + (X_0)2 (X_a)1 (X_c)3 + (X_0)2 (X_a)3 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c

Is it a nice code?: No

Generator Matrix-537

a 0 0 0 0 0
0 a a 0 a a
b 0 0 0 0 0
0 b b 0 b b
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b b 0 b b
0 b a 0 b b
b 0 0 0 0 0
b 0 c 0 0 0
b b b 0 b b
b b a 0 b b
0 a a 0 a a
0 a b 0 a a
0 c c 0 c c
0 c 0 0 c c
b a a 0 a a
b a b 0 a a
b c c 0 c c
b c 0 0 c c
a 0 0 0 0 0
a 0 c 0 0 0
a b b 0 b b
a b a 0 b b
c 0 0 0 0 0
c 0 c 0 0 0
c b b 0 b b
c b a 0 b b
a a a 0 a a
a a b 0 a a
a c c 0 c c
a c 0 0 c c
c a a 0 a a
c a b 0 a a
c c c 0 c c
c c 0 0 c c

dmin: 1
Weight Enumerator: 1x0 + 4x1 + 3x2 + 1x3 + 8x4 + 15x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)2 (X_b)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)5 (X_b)1 + (X_0)4 (X_b)1 (X_c)1 + (X_0)1 (X_b)5 + (X_0)1 (X_a)1 (X_b)4 + (X_0)2 (X_a)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_a)4 (X_b)1 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_b)1 (X_c)4 + (X_0)2 (X_b)1 (X_c)3 + (X_0)5 (X_a)1 + (X_0)4 (X_a)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)4 + (X_0)1 (X_a)2 (X_b)3 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)1 (X_b)4 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)4 (X_b)1 + (X_0)1 (X_a)1 (X_c)4 + (X_0)2 (X_a)1 (X_c)3 + (X_0)1 (X_a)4 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0

Is it a nice code?: No

Generator Matrix-538

a 0 0 0 0 0
0 a a 0 a a
b 0 0 0 0 0
0 b b 0 b b
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b b 0 b b
0 b a 0 b a
b 0 0 0 0 0
b 0 c 0 0 c
b b b 0 b b
b b a 0 b a
0 a a 0 a a
0 a b 0 a b
0 c c 0 c c
0 c 0 0 c 0
b a a 0 a a
b a b 0 a b
b c c 0 c c
b c 0 0 c 0
a 0 0 0 0 0
a 0 c 0 0 c
a b b 0 b b
a b a 0 b a
c 0 0 0 0 0
c 0 c 0 0 c
c b b 0 b b
c b a 0 b a
a a a 0 a a
a a b 0 a b
a c c 0 c c
a c 0 0 c 0
c a a 0 a a
c a b 0 a b
c c c 0 c c
c c 0 0 c 0

dmin: 1
Weight Enumerator: 1x0 + 3x1 + 2x2 + 6x3 + 5x4 + 15x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)5 (X_b)1 + (X_0)3 (X_b)1 (X_c)2 + (X_0)1 (X_b)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)1 (X_a)4 (X_b)1 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_b)1 (X_c)4 + (X_0)3 (X_b)1 (X_c)2 + (X_0)5 (X_a)1 + (X_0)3 (X_a)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)4 + (X_0)1 (X_a)3 (X_b)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)1 (X_b)4 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)1 (X_c)4 + (X_0)3 (X_a)1 (X_c)2 + (X_0)1 (X_a)4 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0

Is it a nice code?: No

Generator Matrix-539

a 0 0 0 0 0
0 a a 0 a a
b 0 0 0 0 0
0 b b 0 b b
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b b 0 b b
0 b a 0 a b
b 0 0 0 0 0
b 0 c 0 c 0
b b b 0 b b
b b a 0 a b
0 a a 0 a a
0 a b 0 b a
0 c c 0 c c
0 c 0 0 0 c
b a a 0 a a
b a b 0 b a
b c c 0 c c
b c 0 0 0 c
a 0 0 0 0 0
a 0 c 0 c 0
a b b 0 b b
a b a 0 a b
c 0 0 0 0 0
c 0 c 0 c 0
c b b 0 b b
c b a 0 a b
a a a 0 a a
a a b 0 b a
a c c 0 c c
a c 0 0 0 c
c a a 0 a a
c a b 0 b a
c c c 0 c c
c c 0 0 0 c

dmin: 1
Weight Enumerator: 1x0 + 3x1 + 2x2 + 6x3 + 5x4 + 15x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)5 (X_b)1 + (X_0)3 (X_b)1 (X_c)2 + (X_0)1 (X_b)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)1 (X_a)4 (X_b)1 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_b)1 (X_c)4 + (X_0)3 (X_b)1 (X_c)2 + (X_0)5 (X_a)1 + (X_0)3 (X_a)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)4 + (X_0)1 (X_a)3 (X_b)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)1 (X_b)4 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)1 (X_c)4 + (X_0)3 (X_a)1 (X_c)2 + (X_0)1 (X_a)4 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0

Is it a nice code?: No

Generator Matrix-540

a 0 0 0 0 0
0 a a 0 a a
b 0 0 0 0 0
0 b b 0 b b
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b b 0 b b
0 b a 0 a a
b 0 0 0 0 0
b 0 c 0 c c
b b b 0 b b
b b a 0 a a
0 a a 0 a a
0 a b 0 b b
0 c c 0 c c
0 c 0 0 0 0
b a a 0 a a
b a b 0 b b
b c c 0 c c
b c 0 0 0 0
a 0 0 0 0 0
a 0 c 0 c c
a b b 0 b b
a b a 0 a a
c 0 0 0 0 0
c 0 c 0 c c
c b b 0 b b
c b a 0 a a
a a a 0 a a
a a b 0 b b
a c c 0 c c
a c 0 0 0 0
c a a 0 a a
c a b 0 b b
c c c 0 c c
c c 0 0 0 0

dmin: 1
Weight Enumerator: 1x0 + 4x1 + 3x2 + 1x3 + 8x4 + 15x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)2 (X_b)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)5 (X_b)1 + (X_0)2 (X_b)1 (X_c)3 + (X_0)1 (X_b)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)2 (X_a)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_0)1 (X_a)4 (X_b)1 + (X_0)1 (X_a)1 (X_b)4 + (X_0)1 (X_b)1 (X_c)4 + (X_0)4 (X_b)1 (X_c)1 + (X_0)5 (X_a)1 + (X_0)2 (X_a)1 (X_c)3 + (X_0)1 (X_a)1 (X_b)4 + (X_0)1 (X_a)4 (X_b)1 + (X_0)5 (X_c)1 + (X_0)2 (X_c)4 + (X_0)1 (X_b)4 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)1 (X_c)4 + (X_0)4 (X_a)1 (X_c)1 + (X_0)1 (X_a)4 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0

Is it a nice code?: No

Generator Matrix-541

a 0 0 0 0 0
0 a a 0 a a
b 0 0 0 0 0
0 b b 0 b b
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b b 0 b b
0 b a c b b
b 0 0 0 0 0
b 0 c c 0 0
b b b 0 b b
b b a c b b
0 a a 0 a a
0 a b c a a
0 c c 0 c c
0 c 0 c c c
b a a 0 a a
b a b c a a
b c c 0 c c
b c 0 c c c
a 0 0 0 0 0
a 0 c c 0 0
a b b 0 b b
a b a c b b
c 0 0 0 0 0
c 0 c c 0 0
c b b 0 b b
c b a c b b
a a a 0 a a
a a b c a a
a c c 0 c c
a c 0 c c c
c a a 0 a a
c a b c a a
c c c 0 c c
c c 0 c c c

dmin: 1
Weight Enumerator: 1x0 + 3x1 + 1x2 + 3x3 + 4x4 + 14x5 + 6x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)5 (X_b)1 + (X_0)3 (X_b)1 (X_c)2 + (X_0)1 (X_b)5 + (X_a)1 (X_b)4 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_a)4 (X_b)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_b)1 (X_c)4 + (X_0)1 (X_b)1 (X_c)4 + (X_0)5 (X_a)1 + (X_0)3 (X_a)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)4 + (X_a)2 (X_b)3 (X_c)1 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)1 (X_b)4 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)5 + (X_a)4 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_c)4 + (X_0)1 (X_a)1 (X_c)4 + (X_0)1 (X_a)4 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0

Is it a nice code?: No

Generator Matrix-542

a 0 0 0 0 0
0 a a 0 a a
b 0 0 0 0 0
0 b b 0 b b
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b b 0 b b
0 b a c b a
b 0 0 0 0 0
b 0 c c 0 c
b b b 0 b b
b b a c b a
0 a a 0 a a
0 a b c a b
0 c c 0 c c
0 c 0 c c 0
b a a 0 a a
b a b c a b
b c c 0 c c
b c 0 c c 0
a 0 0 0 0 0
a 0 c c 0 c
a b b 0 b b
a b a c b a
c 0 0 0 0 0
c 0 c c 0 c
c b b 0 b b
c b a c b a
a a a 0 a a
a a b c a b
a c c 0 c c
a c 0 c c 0
c a a 0 a a
c a b c a b
c c c 0 c c
c c 0 c c 0

dmin: 1
Weight Enumerator: 1x0 + 3x1 + 0x2 + 2x3 + 9x4 + 11x5 + 6x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)5 (X_b)1 + (X_0)2 (X_b)1 (X_c)3 + (X_0)1 (X_b)5 + (X_a)2 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_a)4 (X_b)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_b)1 (X_c)4 + (X_0)2 (X_b)1 (X_c)3 + (X_0)5 (X_a)1 + (X_0)2 (X_a)1 (X_c)3 + (X_0)1 (X_a)1 (X_b)4 + (X_a)3 (X_b)2 (X_c)1 + (X_0)5 (X_c)1 + (X_0)2 (X_c)4 + (X_0)1 (X_b)4 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)5 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_c)4 + (X_0)2 (X_a)1 (X_c)3 + (X_0)1 (X_a)4 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0

Is it a nice code?: No

Generator Matrix-543

a 0 0 0 0 0
0 a a 0 a a
b 0 0 0 0 0
0 b b 0 b b
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b b 0 b b
0 b a c a b
b 0 0 0 0 0
b 0 c c c 0
b b b 0 b b
b b a c a b
0 a a 0 a a
0 a b c b a
0 c c 0 c c
0 c 0 c 0 c
b a a 0 a a
b a b c b a
b c c 0 c c
b c 0 c 0 c
a 0 0 0 0 0
a 0 c c c 0
a b b 0 b b
a b a c a b
c 0 0 0 0 0
c 0 c c c 0
c b b 0 b b
c b a c a b
a a a 0 a a
a a b c b a
a c c 0 c c
a c 0 c 0 c
c a a 0 a a
c a b c b a
c c c 0 c c
c c 0 c 0 c

dmin: 1
Weight Enumerator: 1x0 + 3x1 + 0x2 + 2x3 + 9x4 + 11x5 + 6x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)5 (X_b)1 + (X_0)2 (X_b)1 (X_c)3 + (X_0)1 (X_b)5 + (X_a)2 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_a)4 (X_b)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_b)1 (X_c)4 + (X_0)2 (X_b)1 (X_c)3 + (X_0)5 (X_a)1 + (X_0)2 (X_a)1 (X_c)3 + (X_0)1 (X_a)1 (X_b)4 + (X_a)3 (X_b)2 (X_c)1 + (X_0)5 (X_c)1 + (X_0)2 (X_c)4 + (X_0)1 (X_b)4 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)5 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_c)4 + (X_0)2 (X_a)1 (X_c)3 + (X_0)1 (X_a)4 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0

Is it a nice code?: No

Generator Matrix-544

a 0 0 0 0 0
0 a a 0 a a
b 0 0 0 0 0
0 b b 0 b b
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b b 0 b b
0 b a c a a
b 0 0 0 0 0
b 0 c c c c
b b b 0 b b
b b a c a a
0 a a 0 a a
0 a b c b b
0 c c 0 c c
0 c 0 c 0 0
b a a 0 a a
b a b c b b
b c c 0 c c
b c 0 c 0 0
a 0 0 0 0 0
a 0 c c c c
a b b 0 b b
a b a c a a
c 0 0 0 0 0
c 0 c c c c
c b b 0 b b
c b a c a a
a a a 0 a a
a a b c b b
a c c 0 c c
a c 0 c 0 0
c a a 0 a a
c a b c b b
c c c 0 c c
c c 0 c 0 0

dmin: 1
Weight Enumerator: 1x0 + 3x1 + 1x2 + 3x3 + 4x4 + 14x5 + 6x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)2 (X_b)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)5 (X_b)1 + (X_0)1 (X_b)1 (X_c)4 + (X_0)1 (X_b)5 + (X_a)3 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)1 (X_a)4 (X_b)1 + (X_a)1 (X_b)4 (X_c)1 + (X_0)1 (X_b)1 (X_c)4 + (X_0)3 (X_b)1 (X_c)2 + (X_0)5 (X_a)1 + (X_0)1 (X_a)1 (X_c)4 + (X_0)1 (X_a)1 (X_b)4 + (X_a)4 (X_b)1 (X_c)1 + (X_0)5 (X_c)1 + (X_0)1 (X_c)5 + (X_0)1 (X_b)4 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)5 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_c)4 + (X_0)3 (X_a)1 (X_c)2 + (X_0)1 (X_a)4 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0

Is it a nice code?: No

Generator Matrix-545

a 0 0 0 0 0
0 a a a 0 0
b 0 0 0 0 0
0 b b b 0 0
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b b b 0 0
0 b a b 0 0
b 0 0 0 0 0
b 0 c 0 0 0
b b b b 0 0
b b a b 0 0
0 a a a 0 0
0 a b a 0 0
0 c c c 0 0
0 c 0 c 0 0
b a a a 0 0
b a b a 0 0
b c c c 0 0
b c 0 c 0 0
a 0 0 0 0 0
a 0 c 0 0 0
a b b b 0 0
a b a b 0 0
c 0 0 0 0 0
c 0 c 0 0 0
c b b b 0 0
c b a b 0 0
a a a a 0 0
a a b a 0 0
a c c c 0 0
a c 0 c 0 0
c a a a 0 0
c a b a 0 0
c c c c 0 0
c c 0 c 0 0

dmin: 1
Weight Enumerator: 1x0 + 4x1 + 4x2 + 8x3 + 15x4 + 0x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)3 (X_b)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)5 (X_b)1 + (X_0)4 (X_b)1 (X_c)1 + (X_0)2 (X_b)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)3 (X_a)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_a)3 (X_b)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_b)1 (X_c)3 + (X_0)3 (X_b)1 (X_c)2 + (X_0)5 (X_a)1 + (X_0)4 (X_a)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)3 + (X_0)2 (X_a)2 (X_b)2 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)2 (X_b)3 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)2 (X_a)1 (X_c)3 + (X_0)3 (X_a)1 (X_c)2 + (X_0)2 (X_a)3 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c

Is it a nice code?: No

Generator Matrix-546

a 0 0 0 0 0
0 a a a 0 0
b 0 0 0 0 0
0 b b b 0 0
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b b b 0 0
0 b a b 0 c
b 0 0 0 0 0
b 0 c 0 0 c
b b b b 0 0
b b a b 0 c
0 a a a 0 0
0 a b a 0 c
0 c c c 0 0
0 c 0 c 0 c
b a a a 0 0
b a b a 0 c
b c c c 0 0
b c 0 c 0 c
a 0 0 0 0 0
a 0 c 0 0 c
a b b b 0 0
a b a b 0 c
c 0 0 0 0 0
c 0 c 0 0 c
c b b b 0 0
c b a b 0 c
a a a a 0 0
a a b a 0 c
a c c c 0 0
a c 0 c 0 c
c a a a 0 0
c a b a 0 c
c c c c 0 0
c c 0 c 0 c

dmin: 1
Weight Enumerator: 1x0 + 3x1 + 1x2 + 7x3 + 14x4 + 6x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)5 (X_b)1 + (X_0)3 (X_b)1 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_b)1 (X_c)3 + (X_0)2 (X_b)1 (X_c)3 + (X_0)5 (X_a)1 + (X_0)3 (X_a)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_c)3 + (X_0)2 (X_a)1 (X_c)3 + (X_0)2 (X_a)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c

Is it a nice code?: No

Generator Matrix-547

a 0 0 0 0 0
0 a a a 0 0
b 0 0 0 0 0
0 b b b 0 0
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b b b 0 0
0 b a b c 0
b 0 0 0 0 0
b 0 c 0 c 0
b b b b 0 0
b b a b c 0
0 a a a 0 0
0 a b a c 0
0 c c c 0 0
0 c 0 c c 0
b a a a 0 0
b a b a c 0
b c c c 0 0
b c 0 c c 0
a 0 0 0 0 0
a 0 c 0 c 0
a b b b 0 0
a b a b c 0
c 0 0 0 0 0
c 0 c 0 c 0
c b b b 0 0
c b a b c 0
a a a a 0 0
a a b a c 0
a c c c 0 0
a c 0 c c 0
c a a a 0 0
c a b a c 0
c c c c 0 0
c c 0 c c 0

dmin: 1
Weight Enumerator: 1x0 + 3x1 + 1x2 + 7x3 + 14x4 + 6x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)5 (X_b)1 + (X_0)3 (X_b)1 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_b)1 (X_c)3 + (X_0)2 (X_b)1 (X_c)3 + (X_0)5 (X_a)1 + (X_0)3 (X_a)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_c)3 + (X_0)2 (X_a)1 (X_c)3 + (X_0)2 (X_a)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c

Is it a nice code?: No

Generator Matrix-548

a 0 0 0 0 0
0 a a a 0 0
b 0 0 0 0 0
0 b b b 0 0
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b b b 0 0
0 b a b c c
b 0 0 0 0 0
b 0 c 0 c c
b b b b 0 0
b b a b c c
0 a a a 0 0
0 a b a c c
0 c c c 0 0
0 c 0 c c c
b a a a 0 0
b a b a c c
b c c c 0 0
b c 0 c c c
a 0 0 0 0 0
a 0 c 0 c c
a b b b 0 0
a b a b c c
c 0 0 0 0 0
c 0 c 0 c c
c b b b 0 0
c b a b c c
a a a a 0 0
a a b a c c
a c c c 0 0
a c 0 c c c
c a a a 0 0
c a b a c c
c c c c 0 0
c c 0 c c c

dmin: 1
Weight Enumerator: 1x0 + 3x1 + 0x2 + 4x3 + 13x4 + 5x5 + 6x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)5 (X_b)1 + (X_0)2 (X_b)1 (X_c)3 + (X_0)2 (X_b)4 + (X_a)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_a)3 (X_b)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_b)1 (X_c)3 + (X_0)1 (X_b)1 (X_c)4 + (X_0)5 (X_a)1 + (X_0)2 (X_a)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)3 + (X_a)2 (X_b)2 (X_c)2 + (X_0)5 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_b)3 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)4 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_c)3 + (X_0)1 (X_a)1 (X_c)4 + (X_0)2 (X_a)3 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c

Is it a nice code?: No

Generator Matrix-549

a 0 0 0 0 0
0 a a a 0 0
b 0 0 0 0 0
0 b b b 0 0
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b b b 0 0
0 b a a 0 0
b 0 0 0 0 0
b 0 c c 0 0
b b b b 0 0
b b a a 0 0
0 a a a 0 0
0 a b b 0 0
0 c c c 0 0
0 c 0 0 0 0
b a a a 0 0
b a b b 0 0
b c c c 0 0
b c 0 0 0 0
a 0 0 0 0 0
a 0 c c 0 0
a b b b 0 0
a b a a 0 0
c 0 0 0 0 0
c 0 c c 0 0
c b b b 0 0
c b a a 0 0
a a a a 0 0
a a b b 0 0
a c c c 0 0
a c 0 0 0 0
c a a a 0 0
c a b b 0 0
c c c c 0 0
c c 0 0 0 0

dmin: 1
Weight Enumerator: 1x0 + 4x1 + 4x2 + 8x3 + 15x4 + 0x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)5 (X_b)1 + (X_0)3 (X_b)1 (X_c)2 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)3 (X_a)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)2 (X_a)3 (X_b)1 + (X_0)2 (X_a)1 (X_b)3 + (X_0)2 (X_b)1 (X_c)3 + (X_0)4 (X_b)1 (X_c)1 + (X_0)5 (X_a)1 + (X_0)3 (X_a)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)3 + (X_0)2 (X_a)3 (X_b)1 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)2 (X_b)3 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_a)1 (X_c)3 + (X_0)4 (X_a)1 (X_c)1 + (X_0)2 (X_a)3 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c

Is it a nice code?: No

Generator Matrix-550

a 0 0 0 0 0
0 a a a 0 0
b 0 0 0 0 0
0 b b b 0 0
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b b b 0 0
0 b a a 0 c
b 0 0 0 0 0
b 0 c c 0 c
b b b b 0 0
b b a a 0 c
0 a a a 0 0
0 a b b 0 c
0 c c c 0 0
0 c 0 0 0 c
b a a a 0 0
b a b b 0 c
b c c c 0 0
b c 0 0 0 c
a 0 0 0 0 0
a 0 c c 0 c
a b b b 0 0
a b a a 0 c
c 0 0 0 0 0
c 0 c c 0 c
c b b b 0 0
c b a a 0 c
a a a a 0 0
a a b b 0 c
a c c c 0 0
a c 0 0 0 c
c a a a 0 0
c a b b 0 c
c c c c 0 0
c c 0 0 0 c

dmin: 1
Weight Enumerator: 1x0 + 3x1 + 1x2 + 7x3 + 14x4 + 6x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)5 (X_b)1 + (X_0)2 (X_b)1 (X_c)3 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_b)1 (X_c)3 + (X_0)3 (X_b)1 (X_c)2 + (X_0)5 (X_a)1 + (X_0)2 (X_a)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)5 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_c)3 + (X_0)3 (X_a)1 (X_c)2 + (X_0)2 (X_a)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c

Is it a nice code?: No

Generator Matrix-551

a 0 0 0 0 0
0 a a a 0 0
b 0 0 0 0 0
0 b b b 0 0
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b b b 0 0
0 b a a c 0
b 0 0 0 0 0
b 0 c c c 0
b b b b 0 0
b b a a c 0
0 a a a 0 0
0 a b b c 0
0 c c c 0 0
0 c 0 0 c 0
b a a a 0 0
b a b b c 0
b c c c 0 0
b c 0 0 c 0
a 0 0 0 0 0
a 0 c c c 0
a b b b 0 0
a b a a c 0
c 0 0 0 0 0
c 0 c c c 0
c b b b 0 0
c b a a c 0
a a a a 0 0
a a b b c 0
a c c c 0 0
a c 0 0 c 0
c a a a 0 0
c a b b c 0
c c c c 0 0
c c 0 0 c 0

dmin: 1
Weight Enumerator: 1x0 + 3x1 + 1x2 + 7x3 + 14x4 + 6x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)5 (X_b)1 + (X_0)2 (X_b)1 (X_c)3 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_b)1 (X_c)3 + (X_0)3 (X_b)1 (X_c)2 + (X_0)5 (X_a)1 + (X_0)2 (X_a)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)5 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_c)3 + (X_0)3 (X_a)1 (X_c)2 + (X_0)2 (X_a)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c

Is it a nice code?: No

Generator Matrix-552

a 0 0 0 0 0
0 a a a 0 0
b 0 0 0 0 0
0 b b b 0 0
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b b b 0 0
0 b a a c c
b 0 0 0 0 0
b 0 c c c c
b b b b 0 0
b b a a c c
0 a a a 0 0
0 a b b c c
0 c c c 0 0
0 c 0 0 c c
b a a a 0 0
b a b b c c
b c c c 0 0
b c 0 0 c c
a 0 0 0 0 0
a 0 c c c c
a b b b 0 0
a b a a c c
c 0 0 0 0 0
c 0 c c c c
c b b b 0 0
c b a a c c
a a a a 0 0
a a b b c c
a c c c 0 0
a c 0 0 c c
c a a a 0 0
c a b b c c
c c c c 0 0
c c 0 0 c c

dmin: 1
Weight Enumerator: 1x0 + 3x1 + 0x2 + 4x3 + 13x4 + 5x5 + 6x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)3 (X_b)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)5 (X_b)1 + (X_0)1 (X_b)1 (X_c)4 + (X_0)2 (X_b)4 + (X_a)2 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_a)3 (X_b)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_b)1 (X_c)3 + (X_0)2 (X_b)1 (X_c)3 + (X_0)5 (X_a)1 + (X_0)1 (X_a)1 (X_c)4 + (X_0)2 (X_a)1 (X_b)3 + (X_a)3 (X_b)1 (X_c)2 + (X_0)5 (X_c)1 + (X_0)1 (X_c)5 + (X_0)2 (X_b)3 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)4 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_c)3 + (X_0)2 (X_a)1 (X_c)3 + (X_0)2 (X_a)3 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c

Is it a nice code?: No

Generator Matrix-553

a 0 0 0 0 0
0 a a a 0 a
b 0 0 0 0 0
0 b b b 0 b
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b b b 0 b
0 b a b 0 b
b 0 0 0 0 0
b 0 c 0 0 0
b b b b 0 b
b b a b 0 b
0 a a a 0 a
0 a b a 0 a
0 c c c 0 c
0 c 0 c 0 c
b a a a 0 a
b a b a 0 a
b c c c 0 c
b c 0 c 0 c
a 0 0 0 0 0
a 0 c 0 0 0
a b b b 0 b
a b a b 0 b
c 0 0 0 0 0
c 0 c 0 0 0
c b b b 0 b
c b a b 0 b
a a a a 0 a
a a b a 0 a
a c c c 0 c
a c 0 c 0 c
c a a a 0 a
c a b a 0 a
c c c c 0 c
c c 0 c 0 c

dmin: 1
Weight Enumerator: 1x0 + 4x1 + 3x2 + 1x3 + 8x4 + 15x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)2 (X_b)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)5 (X_b)1 + (X_0)4 (X_b)1 (X_c)1 + (X_0)1 (X_b)5 + (X_0)1 (X_a)1 (X_b)4 + (X_0)2 (X_a)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_a)4 (X_b)1 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_b)1 (X_c)4 + (X_0)2 (X_b)1 (X_c)3 + (X_0)5 (X_a)1 + (X_0)4 (X_a)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)4 + (X_0)1 (X_a)2 (X_b)3 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)1 (X_b)4 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)4 (X_b)1 + (X_0)1 (X_a)1 (X_c)4 + (X_0)2 (X_a)1 (X_c)3 + (X_0)1 (X_a)4 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0

Is it a nice code?: No

Generator Matrix-554

a 0 0 0 0 0
0 a a a 0 a
b 0 0 0 0 0
0 b b b 0 b
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b b b 0 b
0 b a b 0 a
b 0 0 0 0 0
b 0 c 0 0 c
b b b b 0 b
b b a b 0 a
0 a a a 0 a
0 a b a 0 b
0 c c c 0 c
0 c 0 c 0 0
b a a a 0 a
b a b a 0 b
b c c c 0 c
b c 0 c 0 0
a 0 0 0 0 0
a 0 c 0 0 c
a b b b 0 b
a b a b 0 a
c 0 0 0 0 0
c 0 c 0 0 c
c b b b 0 b
c b a b 0 a
a a a a 0 a
a a b a 0 b
a c c c 0 c
a c 0 c 0 0
c a a a 0 a
c a b a 0 b
c c c c 0 c
c c 0 c 0 0

dmin: 1
Weight Enumerator: 1x0 + 3x1 + 2x2 + 6x3 + 5x4 + 15x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)5 (X_b)1 + (X_0)3 (X_b)1 (X_c)2 + (X_0)1 (X_b)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)1 (X_a)4 (X_b)1 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_b)1 (X_c)4 + (X_0)3 (X_b)1 (X_c)2 + (X_0)5 (X_a)1 + (X_0)3 (X_a)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)4 + (X_0)1 (X_a)3 (X_b)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)1 (X_b)4 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)1 (X_c)4 + (X_0)3 (X_a)1 (X_c)2 + (X_0)1 (X_a)4 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0

Is it a nice code?: No

Generator Matrix-555

a 0 0 0 0 0
0 a a a 0 a
b 0 0 0 0 0
0 b b b 0 b
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b b b 0 b
0 b a b c b
b 0 0 0 0 0
b 0 c 0 c 0
b b b b 0 b
b b a b c b
0 a a a 0 a
0 a b a c a
0 c c c 0 c
0 c 0 c c c
b a a a 0 a
b a b a c a
b c c c 0 c
b c 0 c c c
a 0 0 0 0 0
a 0 c 0 c 0
a b b b 0 b
a b a b c b
c 0 0 0 0 0
c 0 c 0 c 0
c b b b 0 b
c b a b c b
a a a a 0 a
a a b a c a
a c c c 0 c
a c 0 c c c
c a a a 0 a
c a b a c a
c c c c 0 c
c c 0 c c c

dmin: 1
Weight Enumerator: 1x0 + 3x1 + 1x2 + 3x3 + 4x4 + 14x5 + 6x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)5 (X_b)1 + (X_0)3 (X_b)1 (X_c)2 + (X_0)1 (X_b)5 + (X_a)1 (X_b)4 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_a)4 (X_b)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_b)1 (X_c)4 + (X_0)1 (X_b)1 (X_c)4 + (X_0)5 (X_a)1 + (X_0)3 (X_a)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)4 + (X_a)2 (X_b)3 (X_c)1 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)1 (X_b)4 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)5 + (X_a)4 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_c)4 + (X_0)1 (X_a)1 (X_c)4 + (X_0)1 (X_a)4 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0

Is it a nice code?: No

Generator Matrix-556

a 0 0 0 0 0
0 a a a 0 a
b 0 0 0 0 0
0 b b b 0 b
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b b b 0 b
0 b a b c a
b 0 0 0 0 0
b 0 c 0 c c
b b b b 0 b
b b a b c a
0 a a a 0 a
0 a b a c b
0 c c c 0 c
0 c 0 c c 0
b a a a 0 a
b a b a c b
b c c c 0 c
b c 0 c c 0
a 0 0 0 0 0
a 0 c 0 c c
a b b b 0 b
a b a b c a
c 0 0 0 0 0
c 0 c 0 c c
c b b b 0 b
c b a b c a
a a a a 0 a
a a b a c b
a c c c 0 c
a c 0 c c 0
c a a a 0 a
c a b a c b
c c c c 0 c
c c 0 c c 0

dmin: 1
Weight Enumerator: 1x0 + 3x1 + 0x2 + 2x3 + 9x4 + 11x5 + 6x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)5 (X_b)1 + (X_0)2 (X_b)1 (X_c)3 + (X_0)1 (X_b)5 + (X_a)2 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_a)4 (X_b)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_b)1 (X_c)4 + (X_0)2 (X_b)1 (X_c)3 + (X_0)5 (X_a)1 + (X_0)2 (X_a)1 (X_c)3 + (X_0)1 (X_a)1 (X_b)4 + (X_a)3 (X_b)2 (X_c)1 + (X_0)5 (X_c)1 + (X_0)2 (X_c)4 + (X_0)1 (X_b)4 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)5 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_c)4 + (X_0)2 (X_a)1 (X_c)3 + (X_0)1 (X_a)4 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0

Is it a nice code?: No

Generator Matrix-557

a 0 0 0 0 0
0 a a a 0 a
b 0 0 0 0 0
0 b b b 0 b
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b b b 0 b
0 b a a 0 b
b 0 0 0 0 0
b 0 c c 0 0
b b b b 0 b
b b a a 0 b
0 a a a 0 a
0 a b b 0 a
0 c c c 0 c
0 c 0 0 0 c
b a a a 0 a
b a b b 0 a
b c c c 0 c
b c 0 0 0 c
a 0 0 0 0 0
a 0 c c 0 0
a b b b 0 b
a b a a 0 b
c 0 0 0 0 0
c 0 c c 0 0
c b b b 0 b
c b a a 0 b
a a a a 0 a
a a b b 0 a
a c c c 0 c
a c 0 0 0 c
c a a a 0 a
c a b b 0 a
c c c c 0 c
c c 0 0 0 c

dmin: 1
Weight Enumerator: 1x0 + 3x1 + 2x2 + 6x3 + 5x4 + 15x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)5 (X_b)1 + (X_0)3 (X_b)1 (X_c)2 + (X_0)1 (X_b)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)1 (X_a)4 (X_b)1 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_b)1 (X_c)4 + (X_0)3 (X_b)1 (X_c)2 + (X_0)5 (X_a)1 + (X_0)3 (X_a)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)4 + (X_0)1 (X_a)3 (X_b)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)1 (X_b)4 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)1 (X_c)4 + (X_0)3 (X_a)1 (X_c)2 + (X_0)1 (X_a)4 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0

Is it a nice code?: No

Generator Matrix-558

a 0 0 0 0 0
0 a a a 0 a
b 0 0 0 0 0
0 b b b 0 b
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b b b 0 b
0 b a a 0 a
b 0 0 0 0 0
b 0 c c 0 c
b b b b 0 b
b b a a 0 a
0 a a a 0 a
0 a b b 0 b
0 c c c 0 c
0 c 0 0 0 0
b a a a 0 a
b a b b 0 b
b c c c 0 c
b c 0 0 0 0
a 0 0 0 0 0
a 0 c c 0 c
a b b b 0 b
a b a a 0 a
c 0 0 0 0 0
c 0 c c 0 c
c b b b 0 b
c b a a 0 a
a a a a 0 a
a a b b 0 b
a c c c 0 c
a c 0 0 0 0
c a a a 0 a
c a b b 0 b
c c c c 0 c
c c 0 0 0 0

dmin: 1
Weight Enumerator: 1x0 + 4x1 + 3x2 + 1x3 + 8x4 + 15x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)2 (X_b)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)5 (X_b)1 + (X_0)2 (X_b)1 (X_c)3 + (X_0)1 (X_b)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)2 (X_a)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_0)1 (X_a)4 (X_b)1 + (X_0)1 (X_a)1 (X_b)4 + (X_0)1 (X_b)1 (X_c)4 + (X_0)4 (X_b)1 (X_c)1 + (X_0)5 (X_a)1 + (X_0)2 (X_a)1 (X_c)3 + (X_0)1 (X_a)1 (X_b)4 + (X_0)1 (X_a)4 (X_b)1 + (X_0)5 (X_c)1 + (X_0)2 (X_c)4 + (X_0)1 (X_b)4 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)1 (X_c)4 + (X_0)4 (X_a)1 (X_c)1 + (X_0)1 (X_a)4 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0

Is it a nice code?: No

Generator Matrix-559

a 0 0 0 0 0
0 a a a 0 a
b 0 0 0 0 0
0 b b b 0 b
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b b b 0 b
0 b a a c b
b 0 0 0 0 0
b 0 c c c 0
b b b b 0 b
b b a a c b
0 a a a 0 a
0 a b b c a
0 c c c 0 c
0 c 0 0 c c
b a a a 0 a
b a b b c a
b c c c 0 c
b c 0 0 c c
a 0 0 0 0 0
a 0 c c c 0
a b b b 0 b
a b a a c b
c 0 0 0 0 0
c 0 c c c 0
c b b b 0 b
c b a a c b
a a a a 0 a
a a b b c a
a c c c 0 c
a c 0 0 c c
c a a a 0 a
c a b b c a
c c c c 0 c
c c 0 0 c c

dmin: 1
Weight Enumerator: 1x0 + 3x1 + 0x2 + 2x3 + 9x4 + 11x5 + 6x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)5 (X_b)1 + (X_0)2 (X_b)1 (X_c)3 + (X_0)1 (X_b)5 + (X_a)2 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_a)4 (X_b)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_b)1 (X_c)4 + (X_0)2 (X_b)1 (X_c)3 + (X_0)5 (X_a)1 + (X_0)2 (X_a)1 (X_c)3 + (X_0)1 (X_a)1 (X_b)4 + (X_a)3 (X_b)2 (X_c)1 + (X_0)5 (X_c)1 + (X_0)2 (X_c)4 + (X_0)1 (X_b)4 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)5 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_c)4 + (X_0)2 (X_a)1 (X_c)3 + (X_0)1 (X_a)4 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0

Is it a nice code?: No

Generator Matrix-560

a 0 0 0 0 0
0 a a a 0 a
b 0 0 0 0 0
0 b b b 0 b
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b b b 0 b
0 b a a c a
b 0 0 0 0 0
b 0 c c c c
b b b b 0 b
b b a a c a
0 a a a 0 a
0 a b b c b
0 c c c 0 c
0 c 0 0 c 0
b a a a 0 a
b a b b c b
b c c c 0 c
b c 0 0 c 0
a 0 0 0 0 0
a 0 c c c c
a b b b 0 b
a b a a c a
c 0 0 0 0 0
c 0 c c c c
c b b b 0 b
c b a a c a
a a a a 0 a
a a b b c b
a c c c 0 c
a c 0 0 c 0
c a a a 0 a
c a b b c b
c c c c 0 c
c c 0 0 c 0

dmin: 1
Weight Enumerator: 1x0 + 3x1 + 1x2 + 3x3 + 4x4 + 14x5 + 6x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)2 (X_b)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)5 (X_b)1 + (X_0)1 (X_b)1 (X_c)4 + (X_0)1 (X_b)5 + (X_a)3 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)1 (X_a)4 (X_b)1 + (X_a)1 (X_b)4 (X_c)1 + (X_0)1 (X_b)1 (X_c)4 + (X_0)3 (X_b)1 (X_c)2 + (X_0)5 (X_a)1 + (X_0)1 (X_a)1 (X_c)4 + (X_0)1 (X_a)1 (X_b)4 + (X_a)4 (X_b)1 (X_c)1 + (X_0)5 (X_c)1 + (X_0)1 (X_c)5 + (X_0)1 (X_b)4 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)5 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_c)4 + (X_0)3 (X_a)1 (X_c)2 + (X_0)1 (X_a)4 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0

Is it a nice code?: No

Generator Matrix-561

a 0 0 0 0 0
0 a a a a 0
b 0 0 0 0 0
0 b b b b 0
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b b b b 0
0 b a b b 0
b 0 0 0 0 0
b 0 c 0 0 0
b b b b b 0
b b a b b 0
0 a a a a 0
0 a b a a 0
0 c c c c 0
0 c 0 c c 0
b a a a a 0
b a b a a 0
b c c c c 0
b c 0 c c 0
a 0 0 0 0 0
a 0 c 0 0 0
a b b b b 0
a b a b b 0
c 0 0 0 0 0
c 0 c 0 0 0
c b b b b 0
c b a b b 0
a a a a a 0
a a b a a 0
a c c c c 0
a c 0 c c 0
c a a a a 0
c a b a a 0
c c c c c 0
c c 0 c c 0

dmin: 1
Weight Enumerator: 1x0 + 4x1 + 3x2 + 1x3 + 8x4 + 15x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)2 (X_b)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)5 (X_b)1 + (X_0)4 (X_b)1 (X_c)1 + (X_0)1 (X_b)5 + (X_0)1 (X_a)1 (X_b)4 + (X_0)2 (X_a)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_a)4 (X_b)1 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_b)1 (X_c)4 + (X_0)2 (X_b)1 (X_c)3 + (X_0)5 (X_a)1 + (X_0)4 (X_a)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)4 + (X_0)1 (X_a)2 (X_b)3 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)1 (X_b)4 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)4 (X_b)1 + (X_0)1 (X_a)1 (X_c)4 + (X_0)2 (X_a)1 (X_c)3 + (X_0)1 (X_a)4 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c

Is it a nice code?: No

Generator Matrix-562

a 0 0 0 0 0
0 a a a a 0
b 0 0 0 0 0
0 b b b b 0
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b b b b 0
0 b a b b c
b 0 0 0 0 0
b 0 c 0 0 c
b b b b b 0
b b a b b c
0 a a a a 0
0 a b a a c
0 c c c c 0
0 c 0 c c c
b a a a a 0
b a b a a c
b c c c c 0
b c 0 c c c
a 0 0 0 0 0
a 0 c 0 0 c
a b b b b 0
a b a b b c
c 0 0 0 0 0
c 0 c 0 0 c
c b b b b 0
c b a b b c
a a a a a 0
a a b a a c
a c c c c 0
a c 0 c c c
c a a a a 0
c a b a a c
c c c c c 0
c c 0 c c c

dmin: 1
Weight Enumerator: 1x0 + 3x1 + 1x2 + 3x3 + 4x4 + 14x5 + 6x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)5 (X_b)1 + (X_0)3 (X_b)1 (X_c)2 + (X_0)1 (X_b)5 + (X_a)1 (X_b)4 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_a)4 (X_b)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_b)1 (X_c)4 + (X_0)1 (X_b)1 (X_c)4 + (X_0)5 (X_a)1 + (X_0)3 (X_a)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)4 + (X_a)2 (X_b)3 (X_c)1 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)1 (X_b)4 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)5 + (X_a)4 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_c)4 + (X_0)1 (X_a)1 (X_c)4 + (X_0)1 (X_a)4 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c

Is it a nice code?: No

Generator Matrix-563

a 0 0 0 0 0
0 a a a a 0
b 0 0 0 0 0
0 b b b b 0
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b b b b 0
0 b a b a 0
b 0 0 0 0 0
b 0 c 0 c 0
b b b b b 0
b b a b a 0
0 a a a a 0
0 a b a b 0
0 c c c c 0
0 c 0 c 0 0
b a a a a 0
b a b a b 0
b c c c c 0
b c 0 c 0 0
a 0 0 0 0 0
a 0 c 0 c 0
a b b b b 0
a b a b a 0
c 0 0 0 0 0
c 0 c 0 c 0
c b b b b 0
c b a b a 0
a a a a a 0
a a b a b 0
a c c c c 0
a c 0 c 0 0
c a a a a 0
c a b a b 0
c c c c c 0
c c 0 c 0 0

dmin: 1
Weight Enumerator: 1x0 + 3x1 + 2x2 + 6x3 + 5x4 + 15x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)5 (X_b)1 + (X_0)3 (X_b)1 (X_c)2 + (X_0)1 (X_b)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)1 (X_a)4 (X_b)1 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_b)1 (X_c)4 + (X_0)3 (X_b)1 (X_c)2 + (X_0)5 (X_a)1 + (X_0)3 (X_a)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)4 + (X_0)1 (X_a)3 (X_b)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)1 (X_b)4 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)1 (X_c)4 + (X_0)3 (X_a)1 (X_c)2 + (X_0)1 (X_a)4 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c

Is it a nice code?: No

Generator Matrix-564

a 0 0 0 0 0
0 a a a a 0
b 0 0 0 0 0
0 b b b b 0
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b b b b 0
0 b a b a c
b 0 0 0 0 0
b 0 c 0 c c
b b b b b 0
b b a b a c
0 a a a a 0
0 a b a b c
0 c c c c 0
0 c 0 c 0 c
b a a a a 0
b a b a b c
b c c c c 0
b c 0 c 0 c
a 0 0 0 0 0
a 0 c 0 c c
a b b b b 0
a b a b a c
c 0 0 0 0 0
c 0 c 0 c c
c b b b b 0
c b a b a c
a a a a a 0
a a b a b c
a c c c c 0
a c 0 c 0 c
c a a a a 0
c a b a b c
c c c c c 0
c c 0 c 0 c

dmin: 1
Weight Enumerator: 1x0 + 3x1 + 0x2 + 2x3 + 9x4 + 11x5 + 6x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)5 (X_b)1 + (X_0)2 (X_b)1 (X_c)3 + (X_0)1 (X_b)5 + (X_a)2 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_a)4 (X_b)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_b)1 (X_c)4 + (X_0)2 (X_b)1 (X_c)3 + (X_0)5 (X_a)1 + (X_0)2 (X_a)1 (X_c)3 + (X_0)1 (X_a)1 (X_b)4 + (X_a)3 (X_b)2 (X_c)1 + (X_0)5 (X_c)1 + (X_0)2 (X_c)4 + (X_0)1 (X_b)4 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)5 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_c)4 + (X_0)2 (X_a)1 (X_c)3 + (X_0)1 (X_a)4 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c

Is it a nice code?: No

Generator Matrix-565

a 0 0 0 0 0
0 a a a a 0
b 0 0 0 0 0
0 b b b b 0
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b b b b 0
0 b a a b 0
b 0 0 0 0 0
b 0 c c 0 0
b b b b b 0
b b a a b 0
0 a a a a 0
0 a b b a 0
0 c c c c 0
0 c 0 0 c 0
b a a a a 0
b a b b a 0
b c c c c 0
b c 0 0 c 0
a 0 0 0 0 0
a 0 c c 0 0
a b b b b 0
a b a a b 0
c 0 0 0 0 0
c 0 c c 0 0
c b b b b 0
c b a a b 0
a a a a a 0
a a b b a 0
a c c c c 0
a c 0 0 c 0
c a a a a 0
c a b b a 0
c c c c c 0
c c 0 0 c 0

dmin: 1
Weight Enumerator: 1x0 + 3x1 + 2x2 + 6x3 + 5x4 + 15x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)5 (X_b)1 + (X_0)3 (X_b)1 (X_c)2 + (X_0)1 (X_b)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)1 (X_a)4 (X_b)1 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_b)1 (X_c)4 + (X_0)3 (X_b)1 (X_c)2 + (X_0)5 (X_a)1 + (X_0)3 (X_a)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)4 + (X_0)1 (X_a)3 (X_b)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)1 (X_b)4 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)1 (X_c)4 + (X_0)3 (X_a)1 (X_c)2 + (X_0)1 (X_a)4 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c

Is it a nice code?: No

Generator Matrix-566

a 0 0 0 0 0
0 a a a a 0
b 0 0 0 0 0
0 b b b b 0
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b b b b 0
0 b a a b c
b 0 0 0 0 0
b 0 c c 0 c
b b b b b 0
b b a a b c
0 a a a a 0
0 a b b a c
0 c c c c 0
0 c 0 0 c c
b a a a a 0
b a b b a c
b c c c c 0
b c 0 0 c c
a 0 0 0 0 0
a 0 c c 0 c
a b b b b 0
a b a a b c
c 0 0 0 0 0
c 0 c c 0 c
c b b b b 0
c b a a b c
a a a a a 0
a a b b a c
a c c c c 0
a c 0 0 c c
c a a a a 0
c a b b a c
c c c c c 0
c c 0 0 c c

dmin: 1
Weight Enumerator: 1x0 + 3x1 + 0x2 + 2x3 + 9x4 + 11x5 + 6x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)5 (X_b)1 + (X_0)2 (X_b)1 (X_c)3 + (X_0)1 (X_b)5 + (X_a)2 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_a)4 (X_b)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_b)1 (X_c)4 + (X_0)2 (X_b)1 (X_c)3 + (X_0)5 (X_a)1 + (X_0)2 (X_a)1 (X_c)3 + (X_0)1 (X_a)1 (X_b)4 + (X_a)3 (X_b)2 (X_c)1 + (X_0)5 (X_c)1 + (X_0)2 (X_c)4 + (X_0)1 (X_b)4 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)5 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_c)4 + (X_0)2 (X_a)1 (X_c)3 + (X_0)1 (X_a)4 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c

Is it a nice code?: No

Generator Matrix-567

a 0 0 0 0 0
0 a a a a 0
b 0 0 0 0 0
0 b b b b 0
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b b b b 0
0 b a a a 0
b 0 0 0 0 0
b 0 c c c 0
b b b b b 0
b b a a a 0
0 a a a a 0
0 a b b b 0
0 c c c c 0
0 c 0 0 0 0
b a a a a 0
b a b b b 0
b c c c c 0
b c 0 0 0 0
a 0 0 0 0 0
a 0 c c c 0
a b b b b 0
a b a a a 0
c 0 0 0 0 0
c 0 c c c 0
c b b b b 0
c b a a a 0
a a a a a 0
a a b b b 0
a c c c c 0
a c 0 0 0 0
c a a a a 0
c a b b b 0
c c c c c 0
c c 0 0 0 0

dmin: 1
Weight Enumerator: 1x0 + 4x1 + 3x2 + 1x3 + 8x4 + 15x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)2 (X_b)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)5 (X_b)1 + (X_0)2 (X_b)1 (X_c)3 + (X_0)1 (X_b)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)2 (X_a)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_0)1 (X_a)4 (X_b)1 + (X_0)1 (X_a)1 (X_b)4 + (X_0)1 (X_b)1 (X_c)4 + (X_0)4 (X_b)1 (X_c)1 + (X_0)5 (X_a)1 + (X_0)2 (X_a)1 (X_c)3 + (X_0)1 (X_a)1 (X_b)4 + (X_0)1 (X_a)4 (X_b)1 + (X_0)5 (X_c)1 + (X_0)2 (X_c)4 + (X_0)1 (X_b)4 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)1 (X_c)4 + (X_0)4 (X_a)1 (X_c)1 + (X_0)1 (X_a)4 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c

Is it a nice code?: No

Generator Matrix-568

a 0 0 0 0 0
0 a a a a 0
b 0 0 0 0 0
0 b b b b 0
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b b b b 0
0 b a a a c
b 0 0 0 0 0
b 0 c c c c
b b b b b 0
b b a a a c
0 a a a a 0
0 a b b b c
0 c c c c 0
0 c 0 0 0 c
b a a a a 0
b a b b b c
b c c c c 0
b c 0 0 0 c
a 0 0 0 0 0
a 0 c c c c
a b b b b 0
a b a a a c
c 0 0 0 0 0
c 0 c c c c
c b b b b 0
c b a a a c
a a a a a 0
a a b b b c
a c c c c 0
a c 0 0 0 c
c a a a a 0
c a b b b c
c c c c c 0
c c 0 0 0 c

dmin: 1
Weight Enumerator: 1x0 + 3x1 + 1x2 + 3x3 + 4x4 + 14x5 + 6x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)2 (X_b)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)5 (X_b)1 + (X_0)1 (X_b)1 (X_c)4 + (X_0)1 (X_b)5 + (X_a)3 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)1 (X_a)4 (X_b)1 + (X_a)1 (X_b)4 (X_c)1 + (X_0)1 (X_b)1 (X_c)4 + (X_0)3 (X_b)1 (X_c)2 + (X_0)5 (X_a)1 + (X_0)1 (X_a)1 (X_c)4 + (X_0)1 (X_a)1 (X_b)4 + (X_a)4 (X_b)1 (X_c)1 + (X_0)5 (X_c)1 + (X_0)1 (X_c)5 + (X_0)1 (X_b)4 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)5 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_c)4 + (X_0)3 (X_a)1 (X_c)2 + (X_0)1 (X_a)4 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c

Is it a nice code?: No

Generator Matrix-569

a 0 0 0 0 0
0 a a a a a
b 0 0 0 0 0
0 b b b b b
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b b b b b
0 b a b b b
b 0 0 0 0 0
b 0 c 0 0 0
b b b b b b
b b a b b b
0 a a a a a
0 a b a a a
0 c c c c c
0 c 0 c c c
b a a a a a
b a b a a a
b c c c c c
b c 0 c c c
a 0 0 0 0 0
a 0 c 0 0 0
a b b b b b
a b a b b b
c 0 0 0 0 0
c 0 c 0 0 0
c b b b b b
c b a b b b
a a a a a a
a a b a a a
a c c c c c
a c 0 c c c
c a a a a a
c a b a a a
c c c c c c
c c 0 c c c

dmin: 1
Weight Enumerator: 1x0 + 4x1 + 3x2 + 0x3 + 1x4 + 8x5 + 15x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)1 (X_b)5 + (X_0)1 (X_a)1 (X_b)4 + (X_0)5 (X_b)1 + (X_0)4 (X_b)1 (X_c)1 + (X_b)6 + (X_a)1 (X_b)5 + (X_0)1 (X_a)5 + (X_0)1 (X_a)4 (X_b)1 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_a)5 (X_b)1 + (X_a)4 (X_b)2 + (X_b)1 (X_c)5 + (X_0)1 (X_b)1 (X_c)4 + (X_0)5 (X_a)1 + (X_0)4 (X_a)1 (X_c)1 + (X_a)1 (X_b)5 + (X_a)2 (X_b)4 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_b)5 (X_c)1 + (X_a)1 (X_b)4 (X_c)1 + (X_a)6 + (X_a)5 (X_b)1 + (X_a)1 (X_c)5 + (X_0)1 (X_a)1 (X_c)4 + (X_a)5 (X_c)1 + (X_a)4 (X_b)1 (X_c)1 + (X_c)6 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-570

a 0 0 0 0 0
0 a a a a a
b 0 0 0 0 0
0 b b b b b
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b b b b b
0 b a b b a
b 0 0 0 0 0
b 0 c 0 0 c
b b b b b b
b b a b b a
0 a a a a a
0 a b a a b
0 c c c c c
0 c 0 c c 0
b a a a a a
b a b a a b
b c c c c c
b c 0 c c 0
a 0 0 0 0 0
a 0 c 0 0 c
a b b b b b
a b a b b a
c 0 0 0 0 0
c 0 c 0 0 c
c b b b b b
c b a b b a
a a a a a a
a a b a a b
a c c c c c
a c 0 c c 0
c a a a a a
c a b a a b
c c c c c c
c c 0 c c 0

dmin: 1
Weight Enumerator: 1x0 + 3x1 + 1x2 + 4x3 + 3x4 + 5x5 + 15x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)1 (X_b)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)5 (X_b)1 + (X_0)3 (X_b)1 (X_c)2 + (X_b)6 + (X_a)2 (X_b)4 + (X_0)1 (X_a)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_a)5 (X_b)1 + (X_a)3 (X_b)3 + (X_b)1 (X_c)5 + (X_0)2 (X_b)1 (X_c)3 + (X_0)5 (X_a)1 + (X_0)3 (X_a)1 (X_c)2 + (X_a)1 (X_b)5 + (X_a)3 (X_b)3 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_b)5 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)6 + (X_a)4 (X_b)2 + (X_a)1 (X_c)5 + (X_0)2 (X_a)1 (X_c)3 + (X_a)5 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_c)6 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-571

a 0 0 0 0 0
0 a a a a a
b 0 0 0 0 0
0 b b b b b
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b b b b b
0 b a b a b
b 0 0 0 0 0
b 0 c 0 c 0
b b b b b b
b b a b a b
0 a a a a a
0 a b a b a
0 c c c c c
0 c 0 c 0 c
b a a a a a
b a b a b a
b c c c c c
b c 0 c 0 c
a 0 0 0 0 0
a 0 c 0 c 0
a b b b b b
a b a b a b
c 0 0 0 0 0
c 0 c 0 c 0
c b b b b b
c b a b a b
a a a a a a
a a b a b a
a c c c c c
a c 0 c 0 c
c a a a a a
c a b a b a
c c c c c c
c c 0 c 0 c

dmin: 1
Weight Enumerator: 1x0 + 3x1 + 1x2 + 4x3 + 3x4 + 5x5 + 15x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)1 (X_b)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)5 (X_b)1 + (X_0)3 (X_b)1 (X_c)2 + (X_b)6 + (X_a)2 (X_b)4 + (X_0)1 (X_a)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_a)5 (X_b)1 + (X_a)3 (X_b)3 + (X_b)1 (X_c)5 + (X_0)2 (X_b)1 (X_c)3 + (X_0)5 (X_a)1 + (X_0)3 (X_a)1 (X_c)2 + (X_a)1 (X_b)5 + (X_a)3 (X_b)3 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_b)5 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)6 + (X_a)4 (X_b)2 + (X_a)1 (X_c)5 + (X_0)2 (X_a)1 (X_c)3 + (X_a)5 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_c)6 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-572

a 0 0 0 0 0
0 a a a a a
b 0 0 0 0 0
0 b b b b b
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b b b b b
0 b a b a a
b 0 0 0 0 0
b 0 c 0 c c
b b b b b b
b b a b a a
0 a a a a a
0 a b a b b
0 c c c c c
0 c 0 c 0 0
b a a a a a
b a b a b b
b c c c c c
b c 0 c 0 0
a 0 0 0 0 0
a 0 c 0 c c
a b b b b b
a b a b a a
c 0 0 0 0 0
c 0 c 0 c c
c b b b b b
c b a b a a
a a a a a a
a a b a b b
a c c c c c
a c 0 c 0 0
c a a a a a
c a b a b b
c c c c c c
c c 0 c 0 0

dmin: 1
Weight Enumerator: 1x0 + 3x1 + 1x2 + 4x3 + 3x4 + 5x5 + 15x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)1 (X_b)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)5 (X_b)1 + (X_0)2 (X_b)1 (X_c)3 + (X_b)6 + (X_a)3 (X_b)3 + (X_0)1 (X_a)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2 + (X_a)5 (X_b)1 + (X_a)2 (X_b)4 + (X_b)1 (X_c)5 + (X_0)3 (X_b)1 (X_c)2 + (X_0)5 (X_a)1 + (X_0)2 (X_a)1 (X_c)3 + (X_a)1 (X_b)5 + (X_a)4 (X_b)2 + (X_0)5 (X_c)1 + (X_0)2 (X_c)4 + (X_b)5 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)6 + (X_a)3 (X_b)3 + (X_a)1 (X_c)5 + (X_0)3 (X_a)1 (X_c)2 + (X_a)5 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_c)6 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-573

a 0 0 0 0 0
0 a a a a a
b 0 0 0 0 0
0 b b b b b
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b b b b b
0 b a a b b
b 0 0 0 0 0
b 0 c c 0 0
b b b b b b
b b a a b b
0 a a a a a
0 a b b a a
0 c c c c c
0 c 0 0 c c
b a a a a a
b a b b a a
b c c c c c
b c 0 0 c c
a 0 0 0 0 0
a 0 c c 0 0
a b b b b b
a b a a b b
c 0 0 0 0 0
c 0 c c 0 0
c b b b b b
c b a a b b
a a a a a a
a a b b a a
a c c c c c
a c 0 0 c c
c a a a a a
c a b b a a
c c c c c c
c c 0 0 c c

dmin: 1
Weight Enumerator: 1x0 + 3x1 + 1x2 + 4x3 + 3x4 + 5x5 + 15x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)1 (X_b)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)5 (X_b)1 + (X_0)3 (X_b)1 (X_c)2 + (X_b)6 + (X_a)2 (X_b)4 + (X_0)1 (X_a)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_a)5 (X_b)1 + (X_a)3 (X_b)3 + (X_b)1 (X_c)5 + (X_0)2 (X_b)1 (X_c)3 + (X_0)5 (X_a)1 + (X_0)3 (X_a)1 (X_c)2 + (X_a)1 (X_b)5 + (X_a)3 (X_b)3 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_b)5 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)6 + (X_a)4 (X_b)2 + (X_a)1 (X_c)5 + (X_0)2 (X_a)1 (X_c)3 + (X_a)5 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_c)6 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-574

a 0 0 0 0 0
0 a a a a a
b 0 0 0 0 0
0 b b b b b
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b b b b b
0 b a a b a
b 0 0 0 0 0
b 0 c c 0 c
b b b b b b
b b a a b a
0 a a a a a
0 a b b a b
0 c c c c c
0 c 0 0 c 0
b a a a a a
b a b b a b
b c c c c c
b c 0 0 c 0
a 0 0 0 0 0
a 0 c c 0 c
a b b b b b
a b a a b a
c 0 0 0 0 0
c 0 c c 0 c
c b b b b b
c b a a b a
a a a a a a
a a b b a b
a c c c c c
a c 0 0 c 0
c a a a a a
c a b b a b
c c c c c c
c c 0 0 c 0

dmin: 1
Weight Enumerator: 1x0 + 3x1 + 1x2 + 4x3 + 3x4 + 5x5 + 15x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)1 (X_b)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)5 (X_b)1 + (X_0)2 (X_b)1 (X_c)3 + (X_b)6 + (X_a)3 (X_b)3 + (X_0)1 (X_a)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2 + (X_a)5 (X_b)1 + (X_a)2 (X_b)4 + (X_b)1 (X_c)5 + (X_0)3 (X_b)1 (X_c)2 + (X_0)5 (X_a)1 + (X_0)2 (X_a)1 (X_c)3 + (X_a)1 (X_b)5 + (X_a)4 (X_b)2 + (X_0)5 (X_c)1 + (X_0)2 (X_c)4 + (X_b)5 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)6 + (X_a)3 (X_b)3 + (X_a)1 (X_c)5 + (X_0)3 (X_a)1 (X_c)2 + (X_a)5 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_c)6 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-575

a 0 0 0 0 0
0 a a a a a
b 0 0 0 0 0
0 b b b b b
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b b b b b
0 b a a a b
b 0 0 0 0 0
b 0 c c c 0
b b b b b b
b b a a a b
0 a a a a a
0 a b b b a
0 c c c c c
0 c 0 0 0 c
b a a a a a
b a b b b a
b c c c c c
b c 0 0 0 c
a 0 0 0 0 0
a 0 c c c 0
a b b b b b
a b a a a b
c 0 0 0 0 0
c 0 c c c 0
c b b b b b
c b a a a b
a a a a a a
a a b b b a
a c c c c c
a c 0 0 0 c
c a a a a a
c a b b b a
c c c c c c
c c 0 0 0 c

dmin: 1
Weight Enumerator: 1x0 + 3x1 + 1x2 + 4x3 + 3x4 + 5x5 + 15x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)1 (X_b)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)5 (X_b)1 + (X_0)2 (X_b)1 (X_c)3 + (X_b)6 + (X_a)3 (X_b)3 + (X_0)1 (X_a)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2 + (X_a)5 (X_b)1 + (X_a)2 (X_b)4 + (X_b)1 (X_c)5 + (X_0)3 (X_b)1 (X_c)2 + (X_0)5 (X_a)1 + (X_0)2 (X_a)1 (X_c)3 + (X_a)1 (X_b)5 + (X_a)4 (X_b)2 + (X_0)5 (X_c)1 + (X_0)2 (X_c)4 + (X_b)5 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)6 + (X_a)3 (X_b)3 + (X_a)1 (X_c)5 + (X_0)3 (X_a)1 (X_c)2 + (X_a)5 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_c)6 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-576

a 0 0 0 0 0
0 a a a a a
b 0 0 0 0 0
0 b b b b b
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b b b b b
0 b a a a a
b 0 0 0 0 0
b 0 c c c c
b b b b b b
b b a a a a
0 a a a a a
0 a b b b b
0 c c c c c
0 c 0 0 0 0
b a a a a a
b a b b b b
b c c c c c
b c 0 0 0 0
a 0 0 0 0 0
a 0 c c c c
a b b b b b
a b a a a a
c 0 0 0 0 0
c 0 c c c c
c b b b b b
c b a a a a
a a a a a a
a a b b b b
a c c c c c
a c 0 0 0 0
c a a a a a
c a b b b b
c c c c c c
c c 0 0 0 0

dmin: 1
Weight Enumerator: 1x0 + 4x1 + 3x2 + 0x3 + 1x4 + 8x5 + 15x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)1 (X_b)5 + (X_0)1 (X_a)4 (X_b)1 + (X_0)5 (X_b)1 + (X_0)1 (X_b)1 (X_c)4 + (X_b)6 + (X_a)4 (X_b)2 + (X_0)1 (X_a)5 + (X_0)1 (X_a)1 (X_b)4 + (X_0)1 (X_c)5 + (X_0)5 (X_c)1 + (X_a)5 (X_b)1 + (X_a)1 (X_b)5 + (X_b)1 (X_c)5 + (X_0)4 (X_b)1 (X_c)1 + (X_0)5 (X_a)1 + (X_0)1 (X_a)1 (X_c)4 + (X_a)1 (X_b)5 + (X_a)5 (X_b)1 + (X_0)5 (X_c)1 + (X_0)1 (X_c)5 + (X_b)5 (X_c)1 + (X_a)4 (X_b)1 (X_c)1 + (X_a)6 + (X_a)2 (X_b)4 + (X_a)1 (X_c)5 + (X_0)4 (X_a)1 (X_c)1 + (X_a)5 (X_c)1 + (X_a)1 (X_b)4 (X_c)1 + (X_c)6 + (X_0)4 (X_c)2

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-577

a 0 0 0 0 a
0 a a 0 0 0
b 0 0 0 0 b
0 b b 0 0 0
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b b 0 0 0
0 b a 0 0 0
b 0 0 0 0 b
b 0 c 0 0 b
b b b 0 0 b
b b a 0 0 b
0 a a 0 0 0
0 a b 0 0 0
0 c c 0 0 0
0 c 0 0 0 0
b a a 0 0 b
b a b 0 0 b
b c c 0 0 b
b c 0 0 0 b
a 0 0 0 0 a
a 0 c 0 0 a
a b b 0 0 a
a b a 0 0 a
c 0 0 0 0 c
c 0 c 0 0 c
c b b 0 0 c
c b a 0 0 c
a a a 0 0 a
a a b 0 0 a
a c c 0 0 a
a c 0 0 0 a
c a a 0 0 c
c a b 0 0 c
c c c 0 0 c
c c 0 0 0 c

dmin: 1
Weight Enumerator: 1x0 + 2x1 + 8x2 + 6x3 + 15x4 + 0x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)4 (X_b)2 + (X_0)4 (X_a)1 (X_b)1 + (X_0)4 (X_b)2 + (X_0)3 (X_b)2 (X_c)1 + (X_0)2 (X_b)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)4 (X_a)2 + (X_0)4 (X_a)1 (X_b)1 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_a)1 (X_b)3 + (X_0)2 (X_b)2 (X_c)2 + (X_0)3 (X_b)2 (X_c)1 + (X_0)4 (X_a)2 + (X_0)3 (X_a)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_a)3 (X_b)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)2 (X_a)2 (X_c)2 + (X_0)3 (X_a)2 (X_c)1 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 0 a 0 0
0 0 0 a a 0
0 0 0 a b 0
0 0 0 a c 0
0 0 0 b 0 0
0 0 0 b a 0
0 0 0 b b 0
0 0 0 b c 0
0 0 0 c 0 0
0 0 0 c a 0
0 0 0 c b 0
0 0 0 c c 0

Is it a nice code?: No

Generator Matrix-578

a 0 0 0 0 a
0 a a 0 0 0
b 0 0 0 0 b
0 b b 0 0 0
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b b 0 0 0
0 b a 0 0 c
b 0 0 0 0 b
b 0 c 0 0 a
b b b 0 0 b
b b a 0 0 a
0 a a 0 0 0
0 a b 0 0 c
0 c c 0 0 0
0 c 0 0 0 c
b a a 0 0 b
b a b 0 0 a
b c c 0 0 b
b c 0 0 0 a
a 0 0 0 0 a
a 0 c 0 0 b
a b b 0 0 a
a b a 0 0 b
c 0 0 0 0 c
c 0 c 0 0 0
c b b 0 0 c
c b a 0 0 0
a a a 0 0 a
a a b 0 0 b
a c c 0 0 a
a c 0 0 0 b
c a a 0 0 c
c a b 0 0 0
c c c 0 0 c
c c 0 0 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 10x2 + 8x3 + 13x4 + 0x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_b)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)4 (X_b)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)4 (X_a)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)4 (X_a)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_c)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 0 a 0 0
0 0 0 a a 0
0 0 0 a b 0
0 0 0 a c 0
0 0 0 b 0 0
0 0 0 b a 0
0 0 0 b b 0
0 0 0 b c 0
0 0 0 c 0 0
0 0 0 c a 0
0 0 0 c b 0
0 0 0 c c 0

Is it a nice code?: No

Generator Matrix-579

a 0 0 0 0 a
0 a a 0 0 0
b 0 0 0 0 b
0 b b 0 0 0
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b b 0 0 0
0 b a 0 c 0
b 0 0 0 0 b
b 0 c 0 c b
b b b 0 0 b
b b a 0 c b
0 a a 0 0 0
0 a b 0 c 0
0 c c 0 0 0
0 c 0 0 c 0
b a a 0 0 b
b a b 0 c b
b c c 0 0 b
b c 0 0 c b
a 0 0 0 0 a
a 0 c 0 c a
a b b 0 0 a
a b a 0 c a
c 0 0 0 0 c
c 0 c 0 c c
c b b 0 0 c
c b a 0 c c
a a a 0 0 a
a a b 0 c a
a c c 0 0 a
a c 0 0 c a
c a a 0 0 c
c a b 0 c c
c c c 0 0 c
c c 0 0 c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 8x2 + 2x3 + 15x4 + 6x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_b)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)4 (X_a)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 0 a 0 0
0 0 0 a a 0
0 0 0 a b 0
0 0 0 a c 0
0 0 0 b 0 0
0 0 0 b a 0
0 0 0 b b 0
0 0 0 b c 0
0 0 0 c 0 0
0 0 0 c a 0
0 0 0 c b 0
0 0 0 c c 0

Is it a nice code?: No

Generator Matrix-580

a 0 0 0 0 a
0 a a 0 0 0
b 0 0 0 0 b
0 b b 0 0 0
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b b 0 0 0
0 b a 0 c c
b 0 0 0 0 b
b 0 c 0 c a
b b b 0 0 b
b b a 0 c a
0 a a 0 0 0
0 a b 0 c c
0 c c 0 0 0
0 c 0 0 c c
b a a 0 0 b
b a b 0 c a
b c c 0 0 b
b c 0 0 c a
a 0 0 0 0 a
a 0 c 0 c b
a b b 0 0 a
a b a 0 c b
c 0 0 0 0 c
c 0 c 0 c 0
c b b 0 0 c
c b a 0 c 0
a a a 0 0 a
a a b 0 c b
a c c 0 0 a
a c 0 0 c b
c a a 0 0 c
c a b 0 c 0
c c c 0 0 c
c c 0 0 c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 6x2 + 4x3 + 17x4 + 4x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 0 a 0 0
0 0 0 a a 0
0 0 0 a b 0
0 0 0 a c 0
0 0 0 b 0 0
0 0 0 b a 0
0 0 0 b b 0
0 0 0 b c 0
0 0 0 c 0 0
0 0 0 c a 0
0 0 0 c b 0
0 0 0 c c 0

Is it a nice code?: No

Generator Matrix-581

a 0 0 0 0 a
0 a a 0 0 0
b 0 0 0 0 b
0 b b 0 0 0
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b b 0 0 0
0 b a c 0 0
b 0 0 0 0 b
b 0 c c 0 b
b b b 0 0 b
b b a c 0 b
0 a a 0 0 0
0 a b c 0 0
0 c c 0 0 0
0 c 0 c 0 0
b a a 0 0 b
b a b c 0 b
b c c 0 0 b
b c 0 c 0 b
a 0 0 0 0 a
a 0 c c 0 a
a b b 0 0 a
a b a c 0 a
c 0 0 0 0 c
c 0 c c 0 c
c b b 0 0 c
c b a c 0 c
a a a 0 0 a
a a b c 0 a
a c c 0 0 a
a c 0 c 0 a
c a a 0 0 c
c a b c 0 c
c c c 0 0 c
c c 0 c 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 8x2 + 2x3 + 15x4 + 6x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_b)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)4 (X_a)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 0 a 0 0
0 0 0 a a 0
0 0 0 a b 0
0 0 0 a c 0
0 0 0 b 0 0
0 0 0 b a 0
0 0 0 b b 0
0 0 0 b c 0
0 0 0 c 0 0
0 0 0 c a 0
0 0 0 c b 0
0 0 0 c c 0

Is it a nice code?: No

Generator Matrix-582

a 0 0 0 0 a
0 a a 0 0 0
b 0 0 0 0 b
0 b b 0 0 0
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b b 0 0 0
0 b a c 0 c
b 0 0 0 0 b
b 0 c c 0 a
b b b 0 0 b
b b a c 0 a
0 a a 0 0 0
0 a b c 0 c
0 c c 0 0 0
0 c 0 c 0 c
b a a 0 0 b
b a b c 0 a
b c c 0 0 b
b c 0 c 0 a
a 0 0 0 0 a
a 0 c c 0 b
a b b 0 0 a
a b a c 0 b
c 0 0 0 0 c
c 0 c c 0 0
c b b 0 0 c
c b a c 0 0
a a a 0 0 a
a a b c 0 b
a c c 0 0 a
a c 0 c 0 b
c a a 0 0 c
c a b c 0 0
c c c 0 0 c
c c 0 c 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 6x2 + 4x3 + 17x4 + 4x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 0 a 0 0
0 0 0 a a 0
0 0 0 a b 0
0 0 0 a c 0
0 0 0 b 0 0
0 0 0 b a 0
0 0 0 b b 0
0 0 0 b c 0
0 0 0 c 0 0
0 0 0 c a 0
0 0 0 c b 0
0 0 0 c c 0

Is it a nice code?: No

Generator Matrix-583

a 0 0 0 0 a
0 a a 0 0 0
b 0 0 0 0 b
0 b b 0 0 0
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b b 0 0 0
0 b a c c 0
b 0 0 0 0 b
b 0 c c c b
b b b 0 0 b
b b a c c b
0 a a 0 0 0
0 a b c c 0
0 c c 0 0 0
0 c 0 c c 0
b a a 0 0 b
b a b c c b
b c c 0 0 b
b c 0 c c b
a 0 0 0 0 a
a 0 c c c a
a b b 0 0 a
a b a c c a
c 0 0 0 0 c
c 0 c c c c
c b b 0 0 c
c b a c c c
a a a 0 0 a
a a b c c a
a c c 0 0 a
a c 0 c c a
c a a 0 0 c
c a b c c c
c c c 0 0 c
c c 0 c c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 6x2 + 2x3 + 11x4 + 6x5 + 6x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_b)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)2 (X_b)4 + (X_a)1 (X_b)3 (X_c)2 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_a)2 (X_b)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)4 (X_a)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)2 (X_a)2 (X_b)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5 + (X_0)2 (X_b)2 (X_c)2 + (X_a)1 (X_b)1 (X_c)4 + (X_0)2 (X_a)4 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)2 (X_a)2 (X_c)2 + (X_a)1 (X_b)1 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 0 a 0 0
0 0 0 a a 0
0 0 0 a b 0
0 0 0 a c 0
0 0 0 b 0 0
0 0 0 b a 0
0 0 0 b b 0
0 0 0 b c 0
0 0 0 c 0 0
0 0 0 c a 0
0 0 0 c b 0
0 0 0 c c 0

Is it a nice code?: No

Generator Matrix-584

a 0 0 0 0 a
0 a a 0 0 0
b 0 0 0 0 b
0 b b 0 0 0
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b b 0 0 0
0 b a c c c
b 0 0 0 0 b
b 0 c c c a
b b b 0 0 b
b b a c c a
0 a a 0 0 0
0 a b c c c
0 c c 0 0 0
0 c 0 c c c
b a a 0 0 b
b a b c c a
b c c 0 0 b
b c 0 c c a
a 0 0 0 0 a
a 0 c c c b
a b b 0 0 a
a b a c c b
c 0 0 0 0 c
c 0 c c c 0
c b b 0 0 c
c b a c c 0
a a a 0 0 a
a a b c c b
a c c 0 0 a
a c 0 c c b
c a a 0 0 c
c a b c c 0
c c c 0 0 c
c c 0 c c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 6x2 + 0x3 + 13x4 + 8x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)4 (X_b)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_b)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_b)4 + (X_a)2 (X_b)2 (X_c)2 + (X_0)4 (X_a)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_a)2 (X_b)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_a)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)2 (X_b)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)4 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 0 a 0 0
0 0 0 a a 0
0 0 0 a b 0
0 0 0 a c 0
0 0 0 b 0 0
0 0 0 b a 0
0 0 0 b b 0
0 0 0 b c 0
0 0 0 c 0 0
0 0 0 c a 0
0 0 0 c b 0
0 0 0 c c 0

Is it a nice code?: No

Generator Matrix-585

a 0 0 0 0 a
0 a a 0 0 a
b 0 0 0 0 b
0 b b 0 0 b
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b b 0 0 b
0 b a 0 0 b
b 0 0 0 0 b
b 0 c 0 0 b
b b b 0 0 0
b b a 0 0 0
0 a a 0 0 a
0 a b 0 0 a
0 c c 0 0 c
0 c 0 0 0 c
b a a 0 0 c
b a b 0 0 c
b c c 0 0 a
b c 0 0 0 a
a 0 0 0 0 a
a 0 c 0 0 a
a b b 0 0 c
a b a 0 0 c
c 0 0 0 0 c
c 0 c 0 0 c
c b b 0 0 a
c b a 0 0 a
a a a 0 0 0
a a b 0 0 0
a c c 0 0 b
a c 0 0 0 b
c a a 0 0 b
c a b 0 0 b
c c c 0 0 0
c c 0 0 0 0

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 5x2 + 15x3 + 10x4 + 0x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)3 (X_b)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)4 (X_b)2 + (X_0)3 (X_b)2 (X_c)1 + (X_0)3 (X_b)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)3 (X_a)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)4 (X_a)2 + (X_0)3 (X_a)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_a)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 0 a 0 0
0 0 0 a a 0
0 0 0 a b 0
0 0 0 a c 0
0 0 0 b 0 0
0 0 0 b a 0
0 0 0 b b 0
0 0 0 b c 0
0 0 0 c 0 0
0 0 0 c a 0
0 0 0 c b 0
0 0 0 c c 0

Is it a nice code?: No

Generator Matrix-586

a 0 0 0 0 a
0 a a 0 0 a
b 0 0 0 0 b
0 b b 0 0 b
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b b 0 0 b
0 b a 0 0 a
b 0 0 0 0 b
b 0 c 0 0 a
b b b 0 0 0
b b a 0 0 c
0 a a 0 0 a
0 a b 0 0 b
0 c c 0 0 c
0 c 0 0 0 0
b a a 0 0 c
b a b 0 0 0
b c c 0 0 a
b c 0 0 0 b
a 0 0 0 0 a
a 0 c 0 0 b
a b b 0 0 c
a b a 0 0 0
c 0 0 0 0 c
c 0 c 0 0 0
c b b 0 0 a
c b a 0 0 b
a a a 0 0 0
a a b 0 0 c
a c c 0 0 b
a c 0 0 0 a
c a a 0 0 b
c a b 0 0 a
c c c 0 0 0
c c 0 0 0 c

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 5x2 + 15x3 + 10x4 + 0x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)4 (X_b)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_a)1 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_b)2 (X_c)1 + (X_0)4 (X_a)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_a)2 (X_b)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_a)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 0 a 0 0
0 0 0 a a 0
0 0 0 a b 0
0 0 0 a c 0
0 0 0 b 0 0
0 0 0 b a 0
0 0 0 b b 0
0 0 0 b c 0
0 0 0 c 0 0
0 0 0 c a 0
0 0 0 c b 0
0 0 0 c c 0

Is it a nice code?: No

Generator Matrix-587

a 0 0 0 0 a
0 a a 0 0 a
b 0 0 0 0 b
0 b b 0 0 b
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b b 0 0 b
0 b a 0 c b
b 0 0 0 0 b
b 0 c 0 c b
b b b 0 0 0
b b a 0 c 0
0 a a 0 0 a
0 a b 0 c a
0 c c 0 0 c
0 c 0 0 c c
b a a 0 0 c
b a b 0 c c
b c c 0 0 a
b c 0 0 c a
a 0 0 0 0 a
a 0 c 0 c a
a b b 0 0 c
a b a 0 c c
c 0 0 0 0 c
c 0 c 0 c c
c b b 0 0 a
c b a 0 c a
a a a 0 0 0
a a b 0 c 0
a c c 0 0 b
a c 0 0 c b
c a a 0 0 b
c a b 0 c b
c c c 0 0 0
c c 0 0 c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 8x3 + 15x4 + 4x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 0 a 0 0
0 0 0 a a 0
0 0 0 a b 0
0 0 0 a c 0
0 0 0 b 0 0
0 0 0 b a 0
0 0 0 b b 0
0 0 0 b c 0
0 0 0 c 0 0
0 0 0 c a 0
0 0 0 c b 0
0 0 0 c c 0

Is it a nice code?: No

Generator Matrix-588

a 0 0 0 0 a
0 a a 0 0 a
b 0 0 0 0 b
0 b b 0 0 b
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b b 0 0 b
0 b a 0 c a
b 0 0 0 0 b
b 0 c 0 c a
b b b 0 0 0
b b a 0 c c
0 a a 0 0 a
0 a b 0 c b
0 c c 0 0 c
0 c 0 0 c 0
b a a 0 0 c
b a b 0 c 0
b c c 0 0 a
b c 0 0 c b
a 0 0 0 0 a
a 0 c 0 c b
a b b 0 0 c
a b a 0 c 0
c 0 0 0 0 c
c 0 c 0 c 0
c b b 0 0 a
c b a 0 c b
a a a 0 0 0
a a b 0 c c
a c c 0 0 b
a c 0 0 c a
c a a 0 0 b
c a b 0 c a
c c c 0 0 0
c c 0 0 c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 8x3 + 15x4 + 4x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 0 a 0 0
0 0 0 a a 0
0 0 0 a b 0
0 0 0 a c 0
0 0 0 b 0 0
0 0 0 b a 0
0 0 0 b b 0
0 0 0 b c 0
0 0 0 c 0 0
0 0 0 c a 0
0 0 0 c b 0
0 0 0 c c 0

Is it a nice code?: No

Generator Matrix-589

a 0 0 0 0 a
0 a a 0 0 a
b 0 0 0 0 b
0 b b 0 0 b
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b b 0 0 b
0 b a c 0 b
b 0 0 0 0 b
b 0 c c 0 b
b b b 0 0 0
b b a c 0 0
0 a a 0 0 a
0 a b c 0 a
0 c c 0 0 c
0 c 0 c 0 c
b a a 0 0 c
b a b c 0 c
b c c 0 0 a
b c 0 c 0 a
a 0 0 0 0 a
a 0 c c 0 a
a b b 0 0 c
a b a c 0 c
c 0 0 0 0 c
c 0 c c 0 c
c b b 0 0 a
c b a c 0 a
a a a 0 0 0
a a b c 0 0
a c c 0 0 b
a c 0 c 0 b
c a a 0 0 b
c a b c 0 b
c c c 0 0 0
c c 0 c 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 8x3 + 15x4 + 4x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 0 a 0 0
0 0 0 a a 0
0 0 0 a b 0
0 0 0 a c 0
0 0 0 b 0 0
0 0 0 b a 0
0 0 0 b b 0
0 0 0 b c 0
0 0 0 c 0 0
0 0 0 c a 0
0 0 0 c b 0
0 0 0 c c 0

Is it a nice code?: No

Generator Matrix-590

a 0 0 0 0 a
0 a a 0 0 a
b 0 0 0 0 b
0 b b 0 0 b
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b b 0 0 b
0 b a c 0 a
b 0 0 0 0 b
b 0 c c 0 a
b b b 0 0 0
b b a c 0 c
0 a a 0 0 a
0 a b c 0 b
0 c c 0 0 c
0 c 0 c 0 0
b a a 0 0 c
b a b c 0 0
b c c 0 0 a
b c 0 c 0 b
a 0 0 0 0 a
a 0 c c 0 b
a b b 0 0 c
a b a c 0 0
c 0 0 0 0 c
c 0 c c 0 0
c b b 0 0 a
c b a c 0 b
a a a 0 0 0
a a b c 0 c
a c c 0 0 b
a c 0 c 0 a
c a a 0 0 b
c a b c 0 a
c c c 0 0 0
c c 0 c 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 8x3 + 15x4 + 4x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 0 a 0 0
0 0 0 a a 0
0 0 0 a b 0
0 0 0 a c 0
0 0 0 b 0 0
0 0 0 b a 0
0 0 0 b b 0
0 0 0 b c 0
0 0 0 c 0 0
0 0 0 c a 0
0 0 0 c b 0
0 0 0 c c 0

Is it a nice code?: No

Generator Matrix-591

a 0 0 0 0 a
0 a a 0 0 a
b 0 0 0 0 b
0 b b 0 0 b
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b b 0 0 b
0 b a c c b
b 0 0 0 0 b
b 0 c c c b
b b b 0 0 0
b b a c c 0
0 a a 0 0 a
0 a b c c a
0 c c 0 0 c
0 c 0 c c c
b a a 0 0 c
b a b c c c
b c c 0 0 a
b c 0 c c a
a 0 0 0 0 a
a 0 c c c a
a b b 0 0 c
a b a c c c
c 0 0 0 0 c
c 0 c c c c
c b b 0 0 a
c b a c c a
a a a 0 0 0
a a b c c 0
a c c 0 0 b
a c 0 c c b
c a a 0 0 b
c a b c c b
c c c 0 0 0
c c 0 c c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 7x3 + 8x4 + 9x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)4 (X_b)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_a)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 0 a 0 0
0 0 0 a a 0
0 0 0 a b 0
0 0 0 a c 0
0 0 0 b 0 0
0 0 0 b a 0
0 0 0 b b 0
0 0 0 b c 0
0 0 0 c 0 0
0 0 0 c a 0
0 0 0 c b 0
0 0 0 c c 0

Is it a nice code?: No

Generator Matrix-592

a 0 0 0 0 a
0 a a 0 0 a
b 0 0 0 0 b
0 b b 0 0 b
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b b 0 0 b
0 b a c c a
b 0 0 0 0 b
b 0 c c c a
b b b 0 0 0
b b a c c c
0 a a 0 0 a
0 a b c c b
0 c c 0 0 c
0 c 0 c c 0
b a a 0 0 c
b a b c c 0
b c c 0 0 a
b c 0 c c b
a 0 0 0 0 a
a 0 c c c b
a b b 0 0 c
a b a c c 0
c 0 0 0 0 c
c 0 c c c 0
c b b 0 0 a
c b a c c b
a a a 0 0 0
a a b c c c
a c c 0 0 b
a c 0 c c a
c a a 0 0 b
c a b c c a
c c c 0 0 0
c c 0 c c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 7x3 + 8x4 + 9x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)3 (X_b)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)4 (X_b)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_b)3 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)4 (X_a)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)3 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 0 a 0 0
0 0 0 a a 0
0 0 0 a b 0
0 0 0 a c 0
0 0 0 b 0 0
0 0 0 b a 0
0 0 0 b b 0
0 0 0 b c 0
0 0 0 c 0 0
0 0 0 c a 0
0 0 0 c b 0
0 0 0 c c 0

Is it a nice code?: No

Generator Matrix-593

a 0 0 0 0 a
0 a a 0 a 0
b 0 0 0 0 b
0 b b 0 b 0
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b b 0 b 0
0 b a 0 b 0
b 0 0 0 0 b
b 0 c 0 0 b
b b b 0 b b
b b a 0 b b
0 a a 0 a 0
0 a b 0 a 0
0 c c 0 c 0
0 c 0 0 c 0
b a a 0 a b
b a b 0 a b
b c c 0 c b
b c 0 0 c b
a 0 0 0 0 a
a 0 c 0 0 a
a b b 0 b a
a b a 0 b a
c 0 0 0 0 c
c 0 c 0 0 c
c b b 0 b c
c b a 0 b c
a a a 0 a a
a a b 0 a a
a c c 0 c a
a c 0 0 c a
c a a 0 a c
c a b 0 a c
c c c 0 c c
c c 0 0 c c

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 4x2 + 8x3 + 3x4 + 15x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)3 (X_b)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)4 (X_b)2 + (X_0)3 (X_b)2 (X_c)1 + (X_0)1 (X_b)5 + (X_0)1 (X_a)1 (X_b)4 + (X_0)3 (X_a)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_b)2 (X_c)3 + (X_0)2 (X_b)2 (X_c)2 + (X_0)4 (X_a)2 + (X_0)3 (X_a)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)3 (X_b)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)5 + (X_0)1 (X_a)4 (X_b)1 + (X_0)1 (X_a)2 (X_c)3 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0

Is it a nice code?: No

Generator Matrix-594

a 0 0 0 0 a
0 a a 0 a 0
b 0 0 0 0 b
0 b b 0 b 0
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b b 0 b 0
0 b a 0 b c
b 0 0 0 0 b
b 0 c 0 0 a
b b b 0 b b
b b a 0 b a
0 a a 0 a 0
0 a b 0 a c
0 c c 0 c 0
0 c 0 0 c c
b a a 0 a b
b a b 0 a a
b c c 0 c b
b c 0 0 c a
a 0 0 0 0 a
a 0 c 0 0 b
a b b 0 b a
a b a 0 b b
c 0 0 0 0 c
c 0 c 0 0 0
c b b 0 b c
c b a 0 b 0
a a a 0 a a
a a b 0 a b
a c c 0 c a
a c 0 0 c b
c a a 0 a c
c a b 0 a 0
c c c 0 c c
c c 0 0 c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 5x2 + 7x3 + 6x4 + 13x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)4 (X_b)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_b)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_a)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)2 (X_b)3 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0

Is it a nice code?: No

Generator Matrix-595

a 0 0 0 0 a
0 a a 0 a 0
b 0 0 0 0 b
0 b b 0 b 0
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b b 0 b 0
0 b a 0 a 0
b 0 0 0 0 b
b 0 c 0 c b
b b b 0 b b
b b a 0 a b
0 a a 0 a 0
0 a b 0 b 0
0 c c 0 c 0
0 c 0 0 0 0
b a a 0 a b
b a b 0 b b
b c c 0 c b
b c 0 0 0 b
a 0 0 0 0 a
a 0 c 0 c a
a b b 0 b a
a b a 0 a a
c 0 0 0 0 c
c 0 c 0 c c
c b b 0 b c
c b a 0 a c
a a a 0 a a
a a b 0 b a
a c c 0 c a
a c 0 0 0 a
c a a 0 a c
c a b 0 b c
c c c 0 c c
c c 0 0 0 c

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 4x2 + 8x3 + 3x4 + 15x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)1 (X_b)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)3 (X_a)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)1 (X_b)4 + (X_0)1 (X_b)2 (X_c)3 + (X_0)3 (X_b)2 (X_c)1 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)4 (X_b)1 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)3 (X_a)2 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0

Is it a nice code?: No

Generator Matrix-596

a 0 0 0 0 a
0 a a 0 a 0
b 0 0 0 0 b
0 b b 0 b 0
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b b 0 b 0
0 b a 0 a c
b 0 0 0 0 b
b 0 c 0 c a
b b b 0 b b
b b a 0 a a
0 a a 0 a 0
0 a b 0 b c
0 c c 0 c 0
0 c 0 0 0 c
b a a 0 a b
b a b 0 b a
b c c 0 c b
b c 0 0 0 a
a 0 0 0 0 a
a 0 c 0 c b
a b b 0 b a
a b a 0 a b
c 0 0 0 0 c
c 0 c 0 c 0
c b b 0 b c
c b a 0 a 0
a a a 0 a a
a a b 0 b b
a c c 0 c a
a c 0 0 0 b
c a a 0 a c
c a b 0 b 0
c c c 0 c c
c c 0 0 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 5x2 + 7x3 + 6x4 + 13x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_b)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)3 (X_b)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)2 (X_c)3 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0

Is it a nice code?: No

Generator Matrix-597

a 0 0 0 0 a
0 a a 0 a 0
b 0 0 0 0 b
0 b b 0 b 0
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b b 0 b 0
0 b a c b 0
b 0 0 0 0 b
b 0 c c 0 b
b b b 0 b b
b b a c b b
0 a a 0 a 0
0 a b c a 0
0 c c 0 c 0
0 c 0 c c 0
b a a 0 a b
b a b c a b
b c c 0 c b
b c 0 c c b
a 0 0 0 0 a
a 0 c c 0 a
a b b 0 b a
a b a c b a
c 0 0 0 0 c
c 0 c c 0 c
c b b 0 b c
c b a c b c
a a a 0 a a
a a b c a a
a c c 0 c a
a c 0 c c a
c a a 0 a c
c a b c a c
c c c 0 c c
c c 0 c c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 4x3 + 5x4 + 12x5 + 6x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)1 (X_b)5 + (X_a)1 (X_b)4 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)3 (X_b)2 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_b)2 (X_c)3 + (X_0)1 (X_b)2 (X_c)3 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)3 + (X_a)3 (X_b)2 (X_c)1 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_b)3 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)5 + (X_a)4 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_c)3 + (X_0)1 (X_a)2 (X_c)3 + (X_0)1 (X_a)3 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0

Is it a nice code?: No

Generator Matrix-598

a 0 0 0 0 a
0 a a 0 a 0
b 0 0 0 0 b
0 b b 0 b 0
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b b 0 b 0
0 b a c b c
b 0 0 0 0 b
b 0 c c 0 a
b b b 0 b b
b b a c b a
0 a a 0 a 0
0 a b c a c
0 c c 0 c 0
0 c 0 c c c
b a a 0 a b
b a b c a a
b c c 0 c b
b c 0 c c a
a 0 0 0 0 a
a 0 c c 0 b
a b b 0 b a
a b a c b b
c 0 0 0 0 c
c 0 c c 0 0
c b b 0 b c
c b a c b 0
a a a 0 a a
a a b c a b
a c c 0 c a
a c 0 c c b
c a a 0 a c
c a b c a 0
c c c 0 c c
c c 0 c c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 5x3 + 4x4 + 15x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_b)5 + (X_a)2 (X_b)3 (X_c)1 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_a)3 (X_b)2 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)3 + (X_a)2 (X_b)3 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)5 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0

Is it a nice code?: No

Generator Matrix-599

a 0 0 0 0 a
0 a a 0 a 0
b 0 0 0 0 b
0 b b 0 b 0
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b b 0 b 0
0 b a c a 0
b 0 0 0 0 b
b 0 c c c b
b b b 0 b b
b b a c a b
0 a a 0 a 0
0 a b c b 0
0 c c 0 c 0
0 c 0 c 0 0
b a a 0 a b
b a b c b b
b c c 0 c b
b c 0 c 0 b
a 0 0 0 0 a
a 0 c c c a
a b b 0 b a
a b a c a a
c 0 0 0 0 c
c 0 c c c c
c b b 0 b c
c b a c a c
a a a 0 a a
a a b c b a
a c c 0 c a
a c 0 c 0 a
c a a 0 a c
c a b c b c
c c c 0 c c
c c 0 c 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 4x3 + 5x4 + 12x5 + 6x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)4 (X_b)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)1 (X_b)5 + (X_a)2 (X_b)3 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_a)3 (X_b)2 + (X_a)1 (X_b)4 (X_c)1 + (X_0)1 (X_b)2 (X_c)3 + (X_0)2 (X_b)2 (X_c)2 + (X_0)4 (X_a)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)1 (X_a)2 (X_b)3 + (X_a)4 (X_b)1 (X_c)1 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5 + (X_0)1 (X_b)3 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)5 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_c)3 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)3 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0

Is it a nice code?: No

Generator Matrix-600

a 0 0 0 0 a
0 a a 0 a 0
b 0 0 0 0 b
0 b b 0 b 0
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b b 0 b 0
0 b a c a c
b 0 0 0 0 b
b 0 c c c a
b b b 0 b b
b b a c a a
0 a a 0 a 0
0 a b c b c
0 c c 0 c 0
0 c 0 c 0 c
b a a 0 a b
b a b c b a
b c c 0 c b
b c 0 c 0 a
a 0 0 0 0 a
a 0 c c c b
a b b 0 b a
a b a c a b
c 0 0 0 0 c
c 0 c c c 0
c b b 0 b c
c b a c a 0
a a a 0 a a
a a b c b b
a c c 0 c a
a c 0 c 0 b
c a a 0 a c
c a b c b 0
c c c 0 c c
c c 0 c 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 5x3 + 4x4 + 15x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)3 (X_b)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)4 (X_b)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_b)5 + (X_a)3 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)3 (X_b)2 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_a)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)2 (X_b)3 + (X_a)3 (X_b)2 (X_c)1 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)5 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0

Is it a nice code?: No

Generator Matrix-601

a 0 0 0 0 a
0 a a 0 a a
b 0 0 0 0 b
0 b b 0 b b
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b b 0 b b
0 b a 0 b b
b 0 0 0 0 b
b 0 c 0 0 b
b b b 0 b 0
b b a 0 b 0
0 a a 0 a a
0 a b 0 a a
0 c c 0 c c
0 c 0 0 c c
b a a 0 a c
b a b 0 a c
b c c 0 c a
b c 0 0 c a
a 0 0 0 0 a
a 0 c 0 0 a
a b b 0 b c
a b a 0 b c
c 0 0 0 0 c
c 0 c 0 0 c
c b b 0 b a
c b a 0 b a
a a a 0 a 0
a a b 0 a 0
a c c 0 c b
a c 0 0 c b
c a a 0 a b
c a b 0 a b
c c c 0 c 0
c c 0 0 c 0

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 3x2 + 5x3 + 12x4 + 10x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)2 (X_b)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)4 (X_b)2 + (X_0)3 (X_b)2 (X_c)1 + (X_0)2 (X_b)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)2 (X_a)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_a)2 + (X_0)3 (X_a)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0

Is it a nice code?: No

Generator Matrix-602

a 0 0 0 0 a
0 a a 0 a a
b 0 0 0 0 b
0 b b 0 b b
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b b 0 b b
0 b a 0 b a
b 0 0 0 0 b
b 0 c 0 0 a
b b b 0 b 0
b b a 0 b c
0 a a 0 a a
0 a b 0 a b
0 c c 0 c c
0 c 0 0 c 0
b a a 0 a c
b a b 0 a 0
b c c 0 c a
b c 0 0 c b
a 0 0 0 0 a
a 0 c 0 0 b
a b b 0 b c
a b a 0 b 0
c 0 0 0 0 c
c 0 c 0 0 0
c b b 0 b a
c b a 0 b b
a a a 0 a 0
a a b 0 a c
a c c 0 c b
a c 0 0 c a
c a a 0 a b
c a b 0 a a
c c c 0 c 0
c c 0 0 c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 6x2 + 2x3 + 13x4 + 10x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)4 (X_b)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_b)2 (X_c)2 + (X_0)4 (X_a)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0

Is it a nice code?: No

Generator Matrix-603

a 0 0 0 0 a
0 a a 0 a a
b 0 0 0 0 b
0 b b 0 b b
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b b 0 b b
0 b a 0 a b
b 0 0 0 0 b
b 0 c 0 c b
b b b 0 b 0
b b a 0 a 0
0 a a 0 a a
0 a b 0 b a
0 c c 0 c c
0 c 0 0 0 c
b a a 0 a c
b a b 0 b c
b c c 0 c a
b c 0 0 0 a
a 0 0 0 0 a
a 0 c 0 c a
a b b 0 b c
a b a 0 a c
c 0 0 0 0 c
c 0 c 0 c c
c b b 0 b a
c b a 0 a a
a a a 0 a 0
a a b 0 b 0
a c c 0 c b
a c 0 0 0 b
c a a 0 a b
c a b 0 b b
c c c 0 c 0
c c 0 0 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 6x2 + 2x3 + 13x4 + 10x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0

Is it a nice code?: No

Generator Matrix-604

a 0 0 0 0 a
0 a a 0 a a
b 0 0 0 0 b
0 b b 0 b b
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b b 0 b b
0 b a 0 a a
b 0 0 0 0 b
b 0 c 0 c a
b b b 0 b 0
b b a 0 a c
0 a a 0 a a
0 a b 0 b b
0 c c 0 c c
0 c 0 0 0 0
b a a 0 a c
b a b 0 b 0
b c c 0 c a
b c 0 0 0 b
a 0 0 0 0 a
a 0 c 0 c b
a b b 0 b c
a b a 0 a 0
c 0 0 0 0 c
c 0 c 0 c 0
c b b 0 b a
c b a 0 a b
a a a 0 a 0
a a b 0 b c
a c c 0 c b
a c 0 0 0 a
c a a 0 a b
c a b 0 b a
c c c 0 c 0
c c 0 0 0 c

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 3x2 + 5x3 + 12x4 + 10x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)2 (X_b)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_b)2 (X_c)1 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)3 (X_b)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_a)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0

Is it a nice code?: No

Generator Matrix-605

a 0 0 0 0 a
0 a a 0 a a
b 0 0 0 0 b
0 b b 0 b b
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b b 0 b b
0 b a c b b
b 0 0 0 0 b
b 0 c c 0 b
b b b 0 b 0
b b a c b 0
0 a a 0 a a
0 a b c a a
0 c c 0 c c
0 c 0 c c c
b a a 0 a c
b a b c a c
b c c 0 c a
b c 0 c c a
a 0 0 0 0 a
a 0 c c 0 a
a b b 0 b c
a b a c b c
c 0 0 0 0 c
c 0 c c 0 c
c b b 0 b a
c b a c b a
a a a 0 a 0
a a b c a 0
a c c 0 c b
a c 0 c c b
c a a 0 a b
c a b c a b
c c c 0 c 0
c c 0 c c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 0x3 + 11x4 + 12x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0

Is it a nice code?: No

Generator Matrix-606

a 0 0 0 0 a
0 a a 0 a a
b 0 0 0 0 b
0 b b 0 b b
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b b 0 b b
0 b a c b a
b 0 0 0 0 b
b 0 c c 0 a
b b b 0 b 0
b b a c b c
0 a a 0 a a
0 a b c a b
0 c c 0 c c
0 c 0 c c 0
b a a 0 a c
b a b c a 0
b c c 0 c a
b c 0 c c b
a 0 0 0 0 a
a 0 c c 0 b
a b b 0 b c
a b a c b 0
c 0 0 0 0 c
c 0 c c 0 0
c b b 0 b a
c b a c b b
a a a 0 a 0
a a b c a c
a c c 0 c b
a c 0 c c a
c a a 0 a b
c a b c a a
c c c 0 c 0
c c 0 c c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 3x3 + 8x4 + 13x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_b)4 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_b)2 (X_c)3 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)4 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)2 (X_c)3 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0

Is it a nice code?: No

Generator Matrix-607

a 0 0 0 0 a
0 a a 0 a a
b 0 0 0 0 b
0 b b 0 b b
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b b 0 b b
0 b a c a b
b 0 0 0 0 b
b 0 c c c b
b b b 0 b 0
b b a c a 0
0 a a 0 a a
0 a b c b a
0 c c 0 c c
0 c 0 c 0 c
b a a 0 a c
b a b c b c
b c c 0 c a
b c 0 c 0 a
a 0 0 0 0 a
a 0 c c c a
a b b 0 b c
a b a c a c
c 0 0 0 0 c
c 0 c c c c
c b b 0 b a
c b a c a a
a a a 0 a 0
a a b c b 0
a c c 0 c b
a c 0 c 0 b
c a a 0 a b
c a b c b b
c c c 0 c 0
c c 0 c 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 3x3 + 8x4 + 13x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)4 (X_b)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_a)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0

Is it a nice code?: No

Generator Matrix-608

a 0 0 0 0 a
0 a a 0 a a
b 0 0 0 0 b
0 b b 0 b b
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b b 0 b b
0 b a c a a
b 0 0 0 0 b
b 0 c c c a
b b b 0 b 0
b b a c a c
0 a a 0 a a
0 a b c b b
0 c c 0 c c
0 c 0 c 0 0
b a a 0 a c
b a b c b 0
b c c 0 c a
b c 0 c 0 b
a 0 0 0 0 a
a 0 c c c b
a b b 0 b c
a b a c a 0
c 0 0 0 0 c
c 0 c c c 0
c b b 0 b a
c b a c a b
a a a 0 a 0
a a b c b c
a c c 0 c b
a c 0 c 0 a
c a a 0 a b
c a b c b a
c c c 0 c 0
c c 0 c 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 0x3 + 11x4 + 12x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)2 (X_b)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)4 (X_b)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_b)4 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_b)2 (X_c)2 + (X_0)4 (X_a)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0

Is it a nice code?: No

Generator Matrix-609

a 0 0 0 0 a
0 a a a 0 0
b 0 0 0 0 b
0 b b b 0 0
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b b b 0 0
0 b a b 0 0
b 0 0 0 0 b
b 0 c 0 0 b
b b b b 0 b
b b a b 0 b
0 a a a 0 0
0 a b a 0 0
0 c c c 0 0
0 c 0 c 0 0
b a a a 0 b
b a b a 0 b
b c c c 0 b
b c 0 c 0 b
a 0 0 0 0 a
a 0 c 0 0 a
a b b b 0 a
a b a b 0 a
c 0 0 0 0 c
c 0 c 0 0 c
c b b b 0 c
c b a b 0 c
a a a a 0 a
a a b a 0 a
a c c c 0 a
a c 0 c 0 a
c a a a 0 c
c a b a 0 c
c c c c 0 c
c c 0 c 0 c

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 4x2 + 8x3 + 3x4 + 15x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)3 (X_b)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)4 (X_b)2 + (X_0)3 (X_b)2 (X_c)1 + (X_0)1 (X_b)5 + (X_0)1 (X_a)1 (X_b)4 + (X_0)3 (X_a)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_b)2 (X_c)3 + (X_0)2 (X_b)2 (X_c)2 + (X_0)4 (X_a)2 + (X_0)3 (X_a)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)3 (X_b)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)5 + (X_0)1 (X_a)4 (X_b)1 + (X_0)1 (X_a)2 (X_c)3 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0

Is it a nice code?: No

Generator Matrix-610

a 0 0 0 0 a
0 a a a 0 0
b 0 0 0 0 b
0 b b b 0 0
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b b b 0 0
0 b a b 0 c
b 0 0 0 0 b
b 0 c 0 0 a
b b b b 0 b
b b a b 0 a
0 a a a 0 0
0 a b a 0 c
0 c c c 0 0
0 c 0 c 0 c
b a a a 0 b
b a b a 0 a
b c c c 0 b
b c 0 c 0 a
a 0 0 0 0 a
a 0 c 0 0 b
a b b b 0 a
a b a b 0 b
c 0 0 0 0 c
c 0 c 0 0 0
c b b b 0 c
c b a b 0 0
a a a a 0 a
a a b a 0 b
a c c c 0 a
a c 0 c 0 b
c a a a 0 c
c a b a 0 0
c c c c 0 c
c c 0 c 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 5x2 + 7x3 + 6x4 + 13x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)4 (X_b)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_b)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_a)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)2 (X_b)3 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0

Is it a nice code?: No

Generator Matrix-611

a 0 0 0 0 a
0 a a a 0 0
b 0 0 0 0 b
0 b b b 0 0
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b b b 0 0
0 b a b c 0
b 0 0 0 0 b
b 0 c 0 c b
b b b b 0 b
b b a b c b
0 a a a 0 0
0 a b a c 0
0 c c c 0 0
0 c 0 c c 0
b a a a 0 b
b a b a c b
b c c c 0 b
b c 0 c c b
a 0 0 0 0 a
a 0 c 0 c a
a b b b 0 a
a b a b c a
c 0 0 0 0 c
c 0 c 0 c c
c b b b 0 c
c b a b c c
a a a a 0 a
a a b a c a
a c c c 0 a
a c 0 c c a
c a a a 0 c
c a b a c c
c c c c 0 c
c c 0 c c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 4x3 + 5x4 + 12x5 + 6x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)1 (X_b)5 + (X_a)1 (X_b)4 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)3 (X_b)2 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_b)2 (X_c)3 + (X_0)1 (X_b)2 (X_c)3 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)3 + (X_a)3 (X_b)2 (X_c)1 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_b)3 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)5 + (X_a)4 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_c)3 + (X_0)1 (X_a)2 (X_c)3 + (X_0)1 (X_a)3 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0

Is it a nice code?: No

Generator Matrix-612

a 0 0 0 0 a
0 a a a 0 0
b 0 0 0 0 b
0 b b b 0 0
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b b b 0 0
0 b a b c c
b 0 0 0 0 b
b 0 c 0 c a
b b b b 0 b
b b a b c a
0 a a a 0 0
0 a b a c c
0 c c c 0 0
0 c 0 c c c
b a a a 0 b
b a b a c a
b c c c 0 b
b c 0 c c a
a 0 0 0 0 a
a 0 c 0 c b
a b b b 0 a
a b a b c b
c 0 0 0 0 c
c 0 c 0 c 0
c b b b 0 c
c b a b c 0
a a a a 0 a
a a b a c b
a c c c 0 a
a c 0 c c b
c a a a 0 c
c a b a c 0
c c c c 0 c
c c 0 c c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 5x3 + 4x4 + 15x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_b)5 + (X_a)2 (X_b)3 (X_c)1 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_a)3 (X_b)2 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)3 + (X_a)2 (X_b)3 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)5 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0

Is it a nice code?: No

Generator Matrix-613

a 0 0 0 0 a
0 a a a 0 0
b 0 0 0 0 b
0 b b b 0 0
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b b b 0 0
0 b a a 0 0
b 0 0 0 0 b
b 0 c c 0 b
b b b b 0 b
b b a a 0 b
0 a a a 0 0
0 a b b 0 0
0 c c c 0 0
0 c 0 0 0 0
b a a a 0 b
b a b b 0 b
b c c c 0 b
b c 0 0 0 b
a 0 0 0 0 a
a 0 c c 0 a
a b b b 0 a
a b a a 0 a
c 0 0 0 0 c
c 0 c c 0 c
c b b b 0 c
c b a a 0 c
a a a a 0 a
a a b b 0 a
a c c c 0 a
a c 0 0 0 a
c a a a 0 c
c a b b 0 c
c c c c 0 c
c c 0 0 0 c

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 4x2 + 8x3 + 3x4 + 15x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)1 (X_b)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)3 (X_a)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)1 (X_b)4 + (X_0)1 (X_b)2 (X_c)3 + (X_0)3 (X_b)2 (X_c)1 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)4 (X_b)1 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)3 (X_a)2 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0

Is it a nice code?: No

Generator Matrix-614

a 0 0 0 0 a
0 a a a 0 0
b 0 0 0 0 b
0 b b b 0 0
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b b b 0 0
0 b a a 0 c
b 0 0 0 0 b
b 0 c c 0 a
b b b b 0 b
b b a a 0 a
0 a a a 0 0
0 a b b 0 c
0 c c c 0 0
0 c 0 0 0 c
b a a a 0 b
b a b b 0 a
b c c c 0 b
b c 0 0 0 a
a 0 0 0 0 a
a 0 c c 0 b
a b b b 0 a
a b a a 0 b
c 0 0 0 0 c
c 0 c c 0 0
c b b b 0 c
c b a a 0 0
a a a a 0 a
a a b b 0 b
a c c c 0 a
a c 0 0 0 b
c a a a 0 c
c a b b 0 0
c c c c 0 c
c c 0 0 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 5x2 + 7x3 + 6x4 + 13x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_b)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)3 (X_b)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)2 (X_c)3 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0

Is it a nice code?: No

Generator Matrix-615

a 0 0 0 0 a
0 a a a 0 0
b 0 0 0 0 b
0 b b b 0 0
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b b b 0 0
0 b a a c 0
b 0 0 0 0 b
b 0 c c c b
b b b b 0 b
b b a a c b
0 a a a 0 0
0 a b b c 0
0 c c c 0 0
0 c 0 0 c 0
b a a a 0 b
b a b b c b
b c c c 0 b
b c 0 0 c b
a 0 0 0 0 a
a 0 c c c a
a b b b 0 a
a b a a c a
c 0 0 0 0 c
c 0 c c c c
c b b b 0 c
c b a a c c
a a a a 0 a
a a b b c a
a c c c 0 a
a c 0 0 c a
c a a a 0 c
c a b b c c
c c c c 0 c
c c 0 0 c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 4x3 + 5x4 + 12x5 + 6x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)4 (X_b)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)1 (X_b)5 + (X_a)2 (X_b)3 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_a)3 (X_b)2 + (X_a)1 (X_b)4 (X_c)1 + (X_0)1 (X_b)2 (X_c)3 + (X_0)2 (X_b)2 (X_c)2 + (X_0)4 (X_a)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)1 (X_a)2 (X_b)3 + (X_a)4 (X_b)1 (X_c)1 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5 + (X_0)1 (X_b)3 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)5 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_c)3 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)3 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0

Is it a nice code?: No

Generator Matrix-616

a 0 0 0 0 a
0 a a a 0 0
b 0 0 0 0 b
0 b b b 0 0
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b b b 0 0
0 b a a c c
b 0 0 0 0 b
b 0 c c c a
b b b b 0 b
b b a a c a
0 a a a 0 0
0 a b b c c
0 c c c 0 0
0 c 0 0 c c
b a a a 0 b
b a b b c a
b c c c 0 b
b c 0 0 c a
a 0 0 0 0 a
a 0 c c c b
a b b b 0 a
a b a a c b
c 0 0 0 0 c
c 0 c c c 0
c b b b 0 c
c b a a c 0
a a a a 0 a
a a b b c b
a c c c 0 a
a c 0 0 c b
c a a a 0 c
c a b b c 0
c c c c 0 c
c c 0 0 c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 5x3 + 4x4 + 15x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)3 (X_b)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)4 (X_b)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_b)5 + (X_a)3 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)3 (X_b)2 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_a)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)2 (X_b)3 + (X_a)3 (X_b)2 (X_c)1 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)5 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0

Is it a nice code?: No

Generator Matrix-617

a 0 0 0 0 a
0 a a a 0 a
b 0 0 0 0 b
0 b b b 0 b
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b b b 0 b
0 b a b 0 b
b 0 0 0 0 b
b 0 c 0 0 b
b b b b 0 0
b b a b 0 0
0 a a a 0 a
0 a b a 0 a
0 c c c 0 c
0 c 0 c 0 c
b a a a 0 c
b a b a 0 c
b c c c 0 a
b c 0 c 0 a
a 0 0 0 0 a
a 0 c 0 0 a
a b b b 0 c
a b a b 0 c
c 0 0 0 0 c
c 0 c 0 0 c
c b b b 0 a
c b a b 0 a
a a a a 0 0
a a b a 0 0
a c c c 0 b
a c 0 c 0 b
c a a a 0 b
c a b a 0 b
c c c c 0 0
c c 0 c 0 0

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 3x2 + 5x3 + 12x4 + 10x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)2 (X_b)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)4 (X_b)2 + (X_0)3 (X_b)2 (X_c)1 + (X_0)2 (X_b)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)2 (X_a)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_a)2 + (X_0)3 (X_a)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0

Is it a nice code?: No

Generator Matrix-618

a 0 0 0 0 a
0 a a a 0 a
b 0 0 0 0 b
0 b b b 0 b
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b b b 0 b
0 b a b 0 a
b 0 0 0 0 b
b 0 c 0 0 a
b b b b 0 0
b b a b 0 c
0 a a a 0 a
0 a b a 0 b
0 c c c 0 c
0 c 0 c 0 0
b a a a 0 c
b a b a 0 0
b c c c 0 a
b c 0 c 0 b
a 0 0 0 0 a
a 0 c 0 0 b
a b b b 0 c
a b a b 0 0
c 0 0 0 0 c
c 0 c 0 0 0
c b b b 0 a
c b a b 0 b
a a a a 0 0
a a b a 0 c
a c c c 0 b
a c 0 c 0 a
c a a a 0 b
c a b a 0 a
c c c c 0 0
c c 0 c 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 6x2 + 2x3 + 13x4 + 10x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)4 (X_b)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_b)2 (X_c)2 + (X_0)4 (X_a)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0

Is it a nice code?: No

Generator Matrix-619

a 0 0 0 0 a
0 a a a 0 a
b 0 0 0 0 b
0 b b b 0 b
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b b b 0 b
0 b a b c b
b 0 0 0 0 b
b 0 c 0 c b
b b b b 0 0
b b a b c 0
0 a a a 0 a
0 a b a c a
0 c c c 0 c
0 c 0 c c c
b a a a 0 c
b a b a c c
b c c c 0 a
b c 0 c c a
a 0 0 0 0 a
a 0 c 0 c a
a b b b 0 c
a b a b c c
c 0 0 0 0 c
c 0 c 0 c c
c b b b 0 a
c b a b c a
a a a a 0 0
a a b a c 0
a c c c 0 b
a c 0 c c b
c a a a 0 b
c a b a c b
c c c c 0 0
c c 0 c c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 0x3 + 11x4 + 12x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0

Is it a nice code?: No

Generator Matrix-620

a 0 0 0 0 a
0 a a a 0 a
b 0 0 0 0 b
0 b b b 0 b
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b b b 0 b
0 b a b c a
b 0 0 0 0 b
b 0 c 0 c a
b b b b 0 0
b b a b c c
0 a a a 0 a
0 a b a c b
0 c c c 0 c
0 c 0 c c 0
b a a a 0 c
b a b a c 0
b c c c 0 a
b c 0 c c b
a 0 0 0 0 a
a 0 c 0 c b
a b b b 0 c
a b a b c 0
c 0 0 0 0 c
c 0 c 0 c 0
c b b b 0 a
c b a b c b
a a a a 0 0
a a b a c c
a c c c 0 b
a c 0 c c a
c a a a 0 b
c a b a c a
c c c c 0 0
c c 0 c c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 3x3 + 8x4 + 13x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_b)4 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_b)2 (X_c)3 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)4 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)2 (X_c)3 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0

Is it a nice code?: No

Generator Matrix-621

a 0 0 0 0 a
0 a a a 0 a
b 0 0 0 0 b
0 b b b 0 b
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b b b 0 b
0 b a a 0 b
b 0 0 0 0 b
b 0 c c 0 b
b b b b 0 0
b b a a 0 0
0 a a a 0 a
0 a b b 0 a
0 c c c 0 c
0 c 0 0 0 c
b a a a 0 c
b a b b 0 c
b c c c 0 a
b c 0 0 0 a
a 0 0 0 0 a
a 0 c c 0 a
a b b b 0 c
a b a a 0 c
c 0 0 0 0 c
c 0 c c 0 c
c b b b 0 a
c b a a 0 a
a a a a 0 0
a a b b 0 0
a c c c 0 b
a c 0 0 0 b
c a a a 0 b
c a b b 0 b
c c c c 0 0
c c 0 0 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 6x2 + 2x3 + 13x4 + 10x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0

Is it a nice code?: No

Generator Matrix-622

a 0 0 0 0 a
0 a a a 0 a
b 0 0 0 0 b
0 b b b 0 b
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b b b 0 b
0 b a a 0 a
b 0 0 0 0 b
b 0 c c 0 a
b b b b 0 0
b b a a 0 c
0 a a a 0 a
0 a b b 0 b
0 c c c 0 c
0 c 0 0 0 0
b a a a 0 c
b a b b 0 0
b c c c 0 a
b c 0 0 0 b
a 0 0 0 0 a
a 0 c c 0 b
a b b b 0 c
a b a a 0 0
c 0 0 0 0 c
c 0 c c 0 0
c b b b 0 a
c b a a 0 b
a a a a 0 0
a a b b 0 c
a c c c 0 b
a c 0 0 0 a
c a a a 0 b
c a b b 0 a
c c c c 0 0
c c 0 0 0 c

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 3x2 + 5x3 + 12x4 + 10x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)2 (X_b)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_b)2 (X_c)1 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)3 (X_b)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_a)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0

Is it a nice code?: No

Generator Matrix-623

a 0 0 0 0 a
0 a a a 0 a
b 0 0 0 0 b
0 b b b 0 b
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b b b 0 b
0 b a a c b
b 0 0 0 0 b
b 0 c c c b
b b b b 0 0
b b a a c 0
0 a a a 0 a
0 a b b c a
0 c c c 0 c
0 c 0 0 c c
b a a a 0 c
b a b b c c
b c c c 0 a
b c 0 0 c a
a 0 0 0 0 a
a 0 c c c a
a b b b 0 c
a b a a c c
c 0 0 0 0 c
c 0 c c c c
c b b b 0 a
c b a a c a
a a a a 0 0
a a b b c 0
a c c c 0 b
a c 0 0 c b
c a a a 0 b
c a b b c b
c c c c 0 0
c c 0 0 c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 3x3 + 8x4 + 13x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)4 (X_b)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_a)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0

Is it a nice code?: No

Generator Matrix-624

a 0 0 0 0 a
0 a a a 0 a
b 0 0 0 0 b
0 b b b 0 b
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b b b 0 b
0 b a a c a
b 0 0 0 0 b
b 0 c c c a
b b b b 0 0
b b a a c c
0 a a a 0 a
0 a b b c b
0 c c c 0 c
0 c 0 0 c 0
b a a a 0 c
b a b b c 0
b c c c 0 a
b c 0 0 c b
a 0 0 0 0 a
a 0 c c c b
a b b b 0 c
a b a a c 0
c 0 0 0 0 c
c 0 c c c 0
c b b b 0 a
c b a a c b
a a a a 0 0
a a b b c c
a c c c 0 b
a c 0 0 c a
c a a a 0 b
c a b b c a
c c c c 0 0
c c 0 0 c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 0x3 + 11x4 + 12x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)2 (X_b)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)4 (X_b)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_b)4 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_b)2 (X_c)2 + (X_0)4 (X_a)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0

Is it a nice code?: No

Generator Matrix-625

a 0 0 0 0 a
0 a a a a 0
b 0 0 0 0 b
0 b b b b 0
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b b b b 0
0 b a b b 0
b 0 0 0 0 b
b 0 c 0 0 b
b b b b b b
b b a b b b
0 a a a a 0
0 a b a a 0
0 c c c c 0
0 c 0 c c 0
b a a a a b
b a b a a b
b c c c c b
b c 0 c c b
a 0 0 0 0 a
a 0 c 0 0 a
a b b b b a
a b a b b a
c 0 0 0 0 c
c 0 c 0 0 c
c b b b b c
c b a b b c
a a a a a a
a a b a a a
a c c c c a
a c 0 c c a
c a a a a c
c a b a a c
c c c c c c
c c 0 c c c

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 3x2 + 4x3 + 5x4 + 3x5 + 15x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)2 (X_b)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)4 (X_b)2 + (X_0)3 (X_b)2 (X_c)1 + (X_b)6 + (X_a)1 (X_b)5 + (X_0)2 (X_a)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_a)4 (X_b)2 + (X_a)3 (X_b)3 + (X_b)2 (X_c)4 + (X_0)1 (X_b)2 (X_c)3 + (X_0)4 (X_a)2 + (X_0)3 (X_a)2 (X_c)1 + (X_a)2 (X_b)4 + (X_a)3 (X_b)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_b)4 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_a)6 + (X_a)5 (X_b)1 + (X_a)2 (X_c)4 + (X_0)1 (X_a)2 (X_c)3 + (X_a)4 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_c)6 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-626

a 0 0 0 0 a
0 a a a a 0
b 0 0 0 0 b
0 b b b b 0
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b b b b 0
0 b a b b c
b 0 0 0 0 b
b 0 c 0 0 a
b b b b b b
b b a b b a
0 a a a a 0
0 a b a a c
0 c c c c 0
0 c 0 c c c
b a a a a b
b a b a a a
b c c c c b
b c 0 c c a
a 0 0 0 0 a
a 0 c 0 0 b
a b b b b a
a b a b b b
c 0 0 0 0 c
c 0 c 0 0 0
c b b b b c
c b a b b 0
a a a a a a
a a b a a b
a c c c c a
a c 0 c c b
c a a a a c
c a b a a 0
c c c c c c
c c 0 c c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 5x2 + 2x3 + 5x4 + 6x5 + 13x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)4 (X_b)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_b)6 + (X_a)2 (X_b)4 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_a)4 (X_b)2 + (X_a)4 (X_b)2 + (X_b)2 (X_c)4 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_a)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_a)2 (X_b)4 + (X_a)2 (X_b)4 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_b)4 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)6 + (X_a)4 (X_b)2 + (X_a)2 (X_c)4 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_a)4 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_c)6 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-627

a 0 0 0 0 a
0 a a a a 0
b 0 0 0 0 b
0 b b b b 0
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b b b b 0
0 b a b a 0
b 0 0 0 0 b
b 0 c 0 c b
b b b b b b
b b a b a b
0 a a a a 0
0 a b a b 0
0 c c c c 0
0 c 0 c 0 0
b a a a a b
b a b a b b
b c c c c b
b c 0 c 0 b
a 0 0 0 0 a
a 0 c 0 c a
a b b b b a
a b a b a a
c 0 0 0 0 c
c 0 c 0 c c
c b b b b c
c b a b a c
a a a a a a
a a b a b a
a c c c c a
a c 0 c 0 a
c a a a a c
c a b a b c
c c c c c c
c c 0 c 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 5x2 + 0x3 + 11x4 + 0x5 + 15x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_b)6 + (X_a)2 (X_b)4 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_a)4 (X_b)2 + (X_a)2 (X_b)4 + (X_b)2 (X_c)4 + (X_0)2 (X_b)2 (X_c)2 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_a)2 (X_b)4 + (X_a)4 (X_b)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_b)4 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_a)6 + (X_a)4 (X_b)2 + (X_a)2 (X_c)4 + (X_0)2 (X_a)2 (X_c)2 + (X_a)4 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_c)6 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-628

a 0 0 0 0 a
0 a a a a 0
b 0 0 0 0 b
0 b b b b 0
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b b b b 0
0 b a b a c
b 0 0 0 0 b
b 0 c 0 c a
b b b b b b
b b a b a a
0 a a a a 0
0 a b a b c
0 c c c c 0
0 c 0 c 0 c
b a a a a b
b a b a b a
b c c c c b
b c 0 c 0 a
a 0 0 0 0 a
a 0 c 0 c b
a b b b b a
a b a b a b
c 0 0 0 0 c
c 0 c 0 c 0
c b b b b c
c b a b a 0
a a a a a a
a a b a b b
a c c c c a
a c 0 c 0 b
c a a a a c
c a b a b 0
c c c c c c
c c 0 c 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 4x3 + 7x4 + 4x5 + 13x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_b)6 + (X_a)3 (X_b)3 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_a)4 (X_b)2 + (X_a)3 (X_b)3 + (X_b)2 (X_c)4 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_a)2 (X_b)4 + (X_a)3 (X_b)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_b)4 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)6 + (X_a)3 (X_b)3 + (X_a)2 (X_c)4 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_a)4 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_c)6 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-629

a 0 0 0 0 a
0 a a a a 0
b 0 0 0 0 b
0 b b b b 0
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b b b b 0
0 b a a b 0
b 0 0 0 0 b
b 0 c c 0 b
b b b b b b
b b a a b b
0 a a a a 0
0 a b b a 0
0 c c c c 0
0 c 0 0 c 0
b a a a a b
b a b b a b
b c c c c b
b c 0 0 c b
a 0 0 0 0 a
a 0 c c 0 a
a b b b b a
a b a a b a
c 0 0 0 0 c
c 0 c c 0 c
c b b b b c
c b a a b c
a a a a a a
a a b b a a
a c c c c a
a c 0 0 c a
c a a a a c
c a b b a c
c c c c c c
c c 0 0 c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 5x2 + 0x3 + 11x4 + 0x5 + 15x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_b)6 + (X_a)2 (X_b)4 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_a)4 (X_b)2 + (X_a)2 (X_b)4 + (X_b)2 (X_c)4 + (X_0)2 (X_b)2 (X_c)2 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_a)2 (X_b)4 + (X_a)4 (X_b)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_b)4 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_a)6 + (X_a)4 (X_b)2 + (X_a)2 (X_c)4 + (X_0)2 (X_a)2 (X_c)2 + (X_a)4 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_c)6 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-630

a 0 0 0 0 a
0 a a a a 0
b 0 0 0 0 b
0 b b b b 0
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b b b b 0
0 b a a b c
b 0 0 0 0 b
b 0 c c 0 a
b b b b b b
b b a a b a
0 a a a a 0
0 a b b a c
0 c c c c 0
0 c 0 0 c c
b a a a a b
b a b b a a
b c c c c b
b c 0 0 c a
a 0 0 0 0 a
a 0 c c 0 b
a b b b b a
a b a a b b
c 0 0 0 0 c
c 0 c c 0 0
c b b b b c
c b a a b 0
a a a a a a
a a b b a b
a c c c c a
a c 0 0 c b
c a a a a c
c a b b a 0
c c c c c c
c c 0 0 c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 4x3 + 7x4 + 4x5 + 13x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_b)6 + (X_a)3 (X_b)3 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_a)4 (X_b)2 + (X_a)3 (X_b)3 + (X_b)2 (X_c)4 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_a)2 (X_b)4 + (X_a)3 (X_b)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_b)4 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)6 + (X_a)3 (X_b)3 + (X_a)2 (X_c)4 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_a)4 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_c)6 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-631

a 0 0 0 0 a
0 a a a a 0
b 0 0 0 0 b
0 b b b b 0
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b b b b 0
0 b a a a 0
b 0 0 0 0 b
b 0 c c c b
b b b b b b
b b a a a b
0 a a a a 0
0 a b b b 0
0 c c c c 0
0 c 0 0 0 0
b a a a a b
b a b b b b
b c c c c b
b c 0 0 0 b
a 0 0 0 0 a
a 0 c c c a
a b b b b a
a b a a a a
c 0 0 0 0 c
c 0 c c c c
c b b b b c
c b a a a c
a a a a a a
a a b b b a
a c c c c a
a c 0 0 0 a
c a a a a c
c a b b b c
c c c c c c
c c 0 0 0 c

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 3x2 + 4x3 + 5x4 + 3x5 + 15x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)2 (X_b)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)4 (X_b)2 + (X_0)1 (X_b)2 (X_c)3 + (X_b)6 + (X_a)3 (X_b)3 + (X_0)2 (X_a)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_a)4 (X_b)2 + (X_a)1 (X_b)5 + (X_b)2 (X_c)4 + (X_0)3 (X_b)2 (X_c)1 + (X_0)4 (X_a)2 + (X_0)1 (X_a)2 (X_c)3 + (X_a)2 (X_b)4 + (X_a)5 (X_b)1 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5 + (X_b)4 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_a)6 + (X_a)3 (X_b)3 + (X_a)2 (X_c)4 + (X_0)3 (X_a)2 (X_c)1 + (X_a)4 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_c)6 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-632

a 0 0 0 0 a
0 a a a a 0
b 0 0 0 0 b
0 b b b b 0
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b b b b 0
0 b a a a c
b 0 0 0 0 b
b 0 c c c a
b b b b b b
b b a a a a
0 a a a a 0
0 a b b b c
0 c c c c 0
0 c 0 0 0 c
b a a a a b
b a b b b a
b c c c c b
b c 0 0 0 a
a 0 0 0 0 a
a 0 c c c b
a b b b b a
a b a a a b
c 0 0 0 0 c
c 0 c c c 0
c b b b b c
c b a a a 0
a a a a a a
a a b b b b
a c c c c a
a c 0 0 0 b
c a a a a c
c a b b b 0
c c c c c c
c c 0 0 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 5x2 + 2x3 + 5x4 + 6x5 + 13x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)2 (X_b)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)4 (X_b)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_b)6 + (X_a)4 (X_b)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_a)4 (X_b)2 + (X_a)2 (X_b)4 + (X_b)2 (X_c)4 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)4 (X_a)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_a)2 (X_b)4 + (X_a)4 (X_b)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_b)4 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)6 + (X_a)2 (X_b)4 + (X_a)2 (X_c)4 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_a)4 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_c)6 + (X_0)4 (X_c)2

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-633

a 0 0 0 0 a
0 a a a a a
b 0 0 0 0 b
0 b b b b b
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b b b b b
0 b a b b b
b 0 0 0 0 b
b 0 c 0 0 b
b b b b b 0
b b a b b 0
0 a a a a a
0 a b a a a
0 c c c c c
0 c 0 c c c
b a a a a c
b a b a a c
b c c c c a
b c 0 c c a
a 0 0 0 0 a
a 0 c 0 0 a
a b b b b c
a b a b b c
c 0 0 0 0 c
c 0 c 0 0 c
c b b b b a
c b a b b a
a a a a a 0
a a b a a 0
a c c c c b
a c 0 c c b
c a a a a b
c a b a a b
c c c c c 0
c c 0 c c 0

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 3x2 + 3x3 + 2x4 + 12x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)1 (X_b)5 + (X_0)1 (X_a)1 (X_b)4 + (X_0)4 (X_b)2 + (X_0)3 (X_b)2 (X_c)1 + (X_0)1 (X_b)5 + (X_0)1 (X_a)1 (X_b)4 + (X_0)1 (X_a)5 + (X_0)1 (X_a)4 (X_b)1 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_a)4 (X_b)1 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)1 (X_b)1 (X_c)4 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_a)2 + (X_0)3 (X_a)2 (X_c)1 + (X_a)1 (X_b)4 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_a)1 (X_b)4 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)4 (X_b)1 + (X_a)1 (X_b)1 (X_c)4 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_a)4 (X_b)1 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-634

a 0 0 0 0 a
0 a a a a a
b 0 0 0 0 b
0 b b b b b
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b b b b b
0 b a b b a
b 0 0 0 0 b
b 0 c 0 0 a
b b b b b 0
b b a b b c
0 a a a a a
0 a b a a b
0 c c c c c
0 c 0 c c 0
b a a a a c
b a b a a 0
b c c c c a
b c 0 c c b
a 0 0 0 0 a
a 0 c 0 0 b
a b b b b c
a b a b b 0
c 0 0 0 0 c
c 0 c 0 0 0
c b b b b a
c b a b b b
a a a a a 0
a a b a a c
a c c c c b
a c 0 c c a
c a a a a b
c a b a a a
c c c c c 0
c c 0 c c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 5x2 + 3x3 + 0x4 + 13x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)1 (X_b)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)4 (X_b)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_b)5 + (X_a)1 (X_b)4 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_a)4 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_a)1 (X_b)1 (X_c)4 + (X_0)1 (X_b)2 (X_c)3 + (X_0)4 (X_a)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_a)1 (X_b)4 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_a)1 (X_b)4 (X_c)1 + (X_a)1 (X_b)4 (X_c)1 + (X_0)1 (X_a)5 + (X_a)4 (X_b)1 (X_c)1 + (X_a)1 (X_b)1 (X_c)4 + (X_0)1 (X_a)2 (X_c)3 + (X_a)4 (X_b)1 (X_c)1 + (X_a)4 (X_b)1 (X_c)1 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-635

a 0 0 0 0 a
0 a a a a a
b 0 0 0 0 b
0 b b b b b
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b b b b b
0 b a b a b
b 0 0 0 0 b
b 0 c 0 c b
b b b b b 0
b b a b a 0
0 a a a a a
0 a b a b a
0 c c c c c
0 c 0 c 0 c
b a a a a c
b a b a b c
b c c c c a
b c 0 c 0 a
a 0 0 0 0 a
a 0 c 0 c a
a b b b b c
a b a b a c
c 0 0 0 0 c
c 0 c 0 c c
c b b b b a
c b a b a a
a a a a a 0
a a b a b 0
a c c c c b
a c 0 c 0 b
c a a a a b
c a b a b b
c c c c c 0
c c 0 c 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 2x3 + 5x4 + 10x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)1 (X_b)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)1 (X_b)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_a)4 (X_b)1 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)1 (X_b)1 (X_c)4 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_a)1 (X_b)4 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_a)1 (X_b)4 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)3 (X_b)2 + (X_a)1 (X_b)1 (X_c)4 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_a)4 (X_b)1 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-636

a 0 0 0 0 a
0 a a a a a
b 0 0 0 0 b
0 b b b b b
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b b b b b
0 b a b a a
b 0 0 0 0 b
b 0 c 0 c a
b b b b b 0
b b a b a c
0 a a a a a
0 a b a b b
0 c c c c c
0 c 0 c 0 0
b a a a a c
b a b a b 0
b c c c c a
b c 0 c 0 b
a 0 0 0 0 a
a 0 c 0 c b
a b b b b c
a b a b a 0
c 0 0 0 0 c
c 0 c 0 c 0
c b b b b a
c b a b a b
a a a a a 0
a a b a b c
a c c c c b
a c 0 c 0 a
c a a a a b
c a b a b a
c c c c c 0
c c 0 c 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 2x3 + 5x4 + 10x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)1 (X_b)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_b)5 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2 + (X_a)4 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_a)1 (X_b)1 (X_c)4 + (X_0)2 (X_b)2 (X_c)2 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_a)1 (X_b)4 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_a)1 (X_b)4 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)5 + (X_a)3 (X_b)2 (X_c)1 + (X_a)1 (X_b)1 (X_c)4 + (X_0)2 (X_a)2 (X_c)2 + (X_a)4 (X_b)1 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-637

a 0 0 0 0 a
0 a a a a a
b 0 0 0 0 b
0 b b b b b
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b b b b b
0 b a a b b
b 0 0 0 0 b
b 0 c c 0 b
b b b b b 0
b b a a b 0
0 a a a a a
0 a b b a a
0 c c c c c
0 c 0 0 c c
b a a a a c
b a b b a c
b c c c c a
b c 0 0 c a
a 0 0 0 0 a
a 0 c c 0 a
a b b b b c
a b a a b c
c 0 0 0 0 c
c 0 c c 0 c
c b b b b a
c b a a b a
a a a a a 0
a a b b a 0
a c c c c b
a c 0 0 c b
c a a a a b
c a b b a b
c c c c c 0
c c 0 0 c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 2x3 + 5x4 + 10x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)1 (X_b)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)1 (X_b)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_a)4 (X_b)1 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)1 (X_b)1 (X_c)4 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_a)1 (X_b)4 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_a)1 (X_b)4 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)3 (X_b)2 + (X_a)1 (X_b)1 (X_c)4 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_a)4 (X_b)1 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-638

a 0 0 0 0 a
0 a a a a a
b 0 0 0 0 b
0 b b b b b
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b b b b b
0 b a a b a
b 0 0 0 0 b
b 0 c c 0 a
b b b b b 0
b b a a b c
0 a a a a a
0 a b b a b
0 c c c c c
0 c 0 0 c 0
b a a a a c
b a b b a 0
b c c c c a
b c 0 0 c b
a 0 0 0 0 a
a 0 c c 0 b
a b b b b c
a b a a b 0
c 0 0 0 0 c
c 0 c c 0 0
c b b b b a
c b a a b b
a a a a a 0
a a b b a c
a c c c c b
a c 0 0 c a
c a a a a b
c a b b a a
c c c c c 0
c c 0 0 c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 2x3 + 5x4 + 10x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)1 (X_b)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_b)5 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2 + (X_a)4 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_a)1 (X_b)1 (X_c)4 + (X_0)2 (X_b)2 (X_c)2 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_a)1 (X_b)4 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_a)1 (X_b)4 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)5 + (X_a)3 (X_b)2 (X_c)1 + (X_a)1 (X_b)1 (X_c)4 + (X_0)2 (X_a)2 (X_c)2 + (X_a)4 (X_b)1 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-639

a 0 0 0 0 a
0 a a a a a
b 0 0 0 0 b
0 b b b b b
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b b b b b
0 b a a a b
b 0 0 0 0 b
b 0 c c c b
b b b b b 0
b b a a a 0
0 a a a a a
0 a b b b a
0 c c c c c
0 c 0 0 0 c
b a a a a c
b a b b b c
b c c c c a
b c 0 0 0 a
a 0 0 0 0 a
a 0 c c c a
a b b b b c
a b a a a c
c 0 0 0 0 c
c 0 c c c c
c b b b b a
c b a a a a
a a a a a 0
a a b b b 0
a c c c c b
a c 0 0 0 b
c a a a a b
c a b b b b
c c c c c 0
c c 0 0 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 5x2 + 3x3 + 0x4 + 13x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)1 (X_b)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)4 (X_b)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)1 (X_b)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2 + (X_a)4 (X_b)1 (X_c)1 + (X_a)1 (X_b)4 (X_c)1 + (X_a)1 (X_b)1 (X_c)4 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)4 (X_a)2 + (X_0)1 (X_a)2 (X_c)3 + (X_a)1 (X_b)4 (X_c)1 + (X_a)4 (X_b)1 (X_c)1 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5 + (X_a)1 (X_b)4 (X_c)1 + (X_a)4 (X_b)1 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)2 (X_b)3 + (X_a)1 (X_b)1 (X_c)4 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_a)4 (X_b)1 (X_c)1 + (X_a)1 (X_b)4 (X_c)1 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-640

a 0 0 0 0 a
0 a a a a a
b 0 0 0 0 b
0 b b b b b
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b b b b b
0 b a a a a
b 0 0 0 0 b
b 0 c c c a
b b b b b 0
b b a a a c
0 a a a a a
0 a b b b b
0 c c c c c
0 c 0 0 0 0
b a a a a c
b a b b b 0
b c c c c a
b c 0 0 0 b
a 0 0 0 0 a
a 0 c c c b
a b b b b c
a b a a a 0
c 0 0 0 0 c
c 0 c c c 0
c b b b b a
c b a a a b
a a a a a 0
a a b b b c
a c c c c b
a c 0 0 0 a
c a a a a b
c a b b b a
c c c c c 0
c c 0 0 0 c

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 3x2 + 3x3 + 2x4 + 12x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)1 (X_b)5 + (X_0)1 (X_a)4 (X_b)1 + (X_0)4 (X_b)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_b)5 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)1 (X_b)4 + (X_0)1 (X_c)5 + (X_0)5 (X_c)1 + (X_a)4 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)4 + (X_a)1 (X_b)1 (X_c)4 + (X_0)3 (X_b)2 (X_c)1 + (X_0)4 (X_a)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_a)1 (X_b)4 (X_c)1 + (X_0)1 (X_a)4 (X_b)1 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_a)1 (X_b)4 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)5 + (X_a)2 (X_b)3 (X_c)1 + (X_a)1 (X_b)1 (X_c)4 + (X_0)3 (X_a)2 (X_c)1 + (X_a)4 (X_b)1 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-641

a 0 0 0 a 0
0 a a 0 0 0
b 0 0 0 b 0
0 b b 0 0 0
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b b 0 0 0
0 b a 0 0 0
b 0 0 0 b 0
b 0 c 0 b 0
b b b 0 b 0
b b a 0 b 0
0 a a 0 0 0
0 a b 0 0 0
0 c c 0 0 0
0 c 0 0 0 0
b a a 0 b 0
b a b 0 b 0
b c c 0 b 0
b c 0 0 b 0
a 0 0 0 a 0
a 0 c 0 a 0
a b b 0 a 0
a b a 0 a 0
c 0 0 0 c 0
c 0 c 0 c 0
c b b 0 c 0
c b a 0 c 0
a a a 0 a 0
a a b 0 a 0
a c c 0 a 0
a c 0 0 a 0
c a a 0 c 0
c a b 0 c 0
c c c 0 c 0
c c 0 0 c 0

dmin: 1
Weight Enumerator: 1x0 + 2x1 + 8x2 + 6x3 + 15x4 + 0x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)4 (X_b)2 + (X_0)4 (X_a)1 (X_b)1 + (X_0)4 (X_b)2 + (X_0)3 (X_b)2 (X_c)1 + (X_0)2 (X_b)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)4 (X_a)2 + (X_0)4 (X_a)1 (X_b)1 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_a)1 (X_b)3 + (X_0)2 (X_b)2 (X_c)2 + (X_0)3 (X_b)2 (X_c)1 + (X_0)4 (X_a)2 + (X_0)3 (X_a)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_a)3 (X_b)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)2 (X_a)2 (X_c)2 + (X_0)3 (X_a)2 (X_c)1 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c

Is it a nice code?: No

Generator Matrix-642

a 0 0 0 a 0
0 a a 0 0 0
b 0 0 0 b 0
0 b b 0 0 0
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b b 0 0 0
0 b a 0 0 c
b 0 0 0 b 0
b 0 c 0 b c
b b b 0 b 0
b b a 0 b c
0 a a 0 0 0
0 a b 0 0 c
0 c c 0 0 0
0 c 0 0 0 c
b a a 0 b 0
b a b 0 b c
b c c 0 b 0
b c 0 0 b c
a 0 0 0 a 0
a 0 c 0 a c
a b b 0 a 0
a b a 0 a c
c 0 0 0 c 0
c 0 c 0 c c
c b b 0 c 0
c b a 0 c c
a a a 0 a 0
a a b 0 a c
a c c 0 a 0
a c 0 0 a c
c a a 0 c 0
c a b 0 c c
c c c 0 c 0
c c 0 0 c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 8x2 + 2x3 + 15x4 + 6x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_b)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)4 (X_a)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c

Is it a nice code?: No

Generator Matrix-643

a 0 0 0 a 0
0 a a 0 0 0
b 0 0 0 b 0
0 b b 0 0 0
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b b 0 0 0
0 b a 0 c 0
b 0 0 0 b 0
b 0 c 0 a 0
b b b 0 b 0
b b a 0 a 0
0 a a 0 0 0
0 a b 0 c 0
0 c c 0 0 0
0 c 0 0 c 0
b a a 0 b 0
b a b 0 a 0
b c c 0 b 0
b c 0 0 a 0
a 0 0 0 a 0
a 0 c 0 b 0
a b b 0 a 0
a b a 0 b 0
c 0 0 0 c 0
c 0 c 0 0 0
c b b 0 c 0
c b a 0 0 0
a a a 0 a 0
a a b 0 b 0
a c c 0 a 0
a c 0 0 b 0
c a a 0 c 0
c a b 0 0 0
c c c 0 c 0
c c 0 0 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 10x2 + 8x3 + 13x4 + 0x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_b)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)4 (X_b)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)4 (X_a)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)4 (X_a)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_c)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c

Is it a nice code?: No

Generator Matrix-644

a 0 0 0 a 0
0 a a 0 0 0
b 0 0 0 b 0
0 b b 0 0 0
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b b 0 0 0
0 b a 0 c c
b 0 0 0 b 0
b 0 c 0 a c
b b b 0 b 0
b b a 0 a c
0 a a 0 0 0
0 a b 0 c c
0 c c 0 0 0
0 c 0 0 c c
b a a 0 b 0
b a b 0 a c
b c c 0 b 0
b c 0 0 a c
a 0 0 0 a 0
a 0 c 0 b c
a b b 0 a 0
a b a 0 b c
c 0 0 0 c 0
c 0 c 0 0 c
c b b 0 c 0
c b a 0 0 c
a a a 0 a 0
a a b 0 b c
a c c 0 a 0
a c 0 0 b c
c a a 0 c 0
c a b 0 0 c
c c c 0 c 0
c c 0 0 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 6x2 + 4x3 + 17x4 + 4x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c

Is it a nice code?: No

Generator Matrix-645

a 0 0 0 a 0
0 a a 0 0 0
b 0 0 0 b 0
0 b b 0 0 0
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b b 0 0 0
0 b a c 0 0
b 0 0 0 b 0
b 0 c c b 0
b b b 0 b 0
b b a c b 0
0 a a 0 0 0
0 a b c 0 0
0 c c 0 0 0
0 c 0 c 0 0
b a a 0 b 0
b a b c b 0
b c c 0 b 0
b c 0 c b 0
a 0 0 0 a 0
a 0 c c a 0
a b b 0 a 0
a b a c a 0
c 0 0 0 c 0
c 0 c c c 0
c b b 0 c 0
c b a c c 0
a a a 0 a 0
a a b c a 0
a c c 0 a 0
a c 0 c a 0
c a a 0 c 0
c a b c c 0
c c c 0 c 0
c c 0 c c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 8x2 + 2x3 + 15x4 + 6x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_b)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)4 (X_a)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c

Is it a nice code?: No

Generator Matrix-646

a 0 0 0 a 0
0 a a 0 0 0
b 0 0 0 b 0
0 b b 0 0 0
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b b 0 0 0
0 b a c 0 c
b 0 0 0 b 0
b 0 c c b c
b b b 0 b 0
b b a c b c
0 a a 0 0 0
0 a b c 0 c
0 c c 0 0 0
0 c 0 c 0 c
b a a 0 b 0
b a b c b c
b c c 0 b 0
b c 0 c b c
a 0 0 0 a 0
a 0 c c a c
a b b 0 a 0
a b a c a c
c 0 0 0 c 0
c 0 c c c c
c b b 0 c 0
c b a c c c
a a a 0 a 0
a a b c a c
a c c 0 a 0
a c 0 c a c
c a a 0 c 0
c a b c c c
c c c 0 c 0
c c 0 c c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 6x2 + 2x3 + 11x4 + 6x5 + 6x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_b)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)2 (X_b)4 + (X_a)1 (X_b)3 (X_c)2 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_a)2 (X_b)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)4 (X_a)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)2 (X_a)2 (X_b)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5 + (X_0)2 (X_b)2 (X_c)2 + (X_a)1 (X_b)1 (X_c)4 + (X_0)2 (X_a)4 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)2 (X_a)2 (X_c)2 + (X_a)1 (X_b)1 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c

Is it a nice code?: No

Generator Matrix-647

a 0 0 0 a 0
0 a a 0 0 0
b 0 0 0 b 0
0 b b 0 0 0
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b b 0 0 0
0 b a c c 0
b 0 0 0 b 0
b 0 c c a 0
b b b 0 b 0
b b a c a 0
0 a a 0 0 0
0 a b c c 0
0 c c 0 0 0
0 c 0 c c 0
b a a 0 b 0
b a b c a 0
b c c 0 b 0
b c 0 c a 0
a 0 0 0 a 0
a 0 c c b 0
a b b 0 a 0
a b a c b 0
c 0 0 0 c 0
c 0 c c 0 0
c b b 0 c 0
c b a c 0 0
a a a 0 a 0
a a b c b 0
a c c 0 a 0
a c 0 c b 0
c a a 0 c 0
c a b c 0 0
c c c 0 c 0
c c 0 c 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 6x2 + 4x3 + 17x4 + 4x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c

Is it a nice code?: No

Generator Matrix-648

a 0 0 0 a 0
0 a a 0 0 0
b 0 0 0 b 0
0 b b 0 0 0
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b b 0 0 0
0 b a c c c
b 0 0 0 b 0
b 0 c c a c
b b b 0 b 0
b b a c a c
0 a a 0 0 0
0 a b c c c
0 c c 0 0 0
0 c 0 c c c
b a a 0 b 0
b a b c a c
b c c 0 b 0
b c 0 c a c
a 0 0 0 a 0
a 0 c c b c
a b b 0 a 0
a b a c b c
c 0 0 0 c 0
c 0 c c 0 c
c b b 0 c 0
c b a c 0 c
a a a 0 a 0
a a b c b c
a c c 0 a 0
a c 0 c b c
c a a 0 c 0
c a b c 0 c
c c c 0 c 0
c c 0 c 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 6x2 + 0x3 + 13x4 + 8x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)4 (X_b)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_b)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_b)4 + (X_a)2 (X_b)2 (X_c)2 + (X_0)4 (X_a)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_a)2 (X_b)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_a)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)2 (X_b)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)4 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c

Is it a nice code?: No

Generator Matrix-649

a 0 0 0 a 0
0 a a 0 0 a
b 0 0 0 b 0
0 b b 0 0 b
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b b 0 0 b
0 b a 0 0 b
b 0 0 0 b 0
b 0 c 0 b 0
b b b 0 b b
b b a 0 b b
0 a a 0 0 a
0 a b 0 0 a
0 c c 0 0 c
0 c 0 0 0 c
b a a 0 b a
b a b 0 b a
b c c 0 b c
b c 0 0 b c
a 0 0 0 a 0
a 0 c 0 a 0
a b b 0 a b
a b a 0 a b
c 0 0 0 c 0
c 0 c 0 c 0
c b b 0 c b
c b a 0 c b
a a a 0 a a
a a b 0 a a
a c c 0 a c
a c 0 0 a c
c a a 0 c a
c a b 0 c a
c c c 0 c c
c c 0 0 c c

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 4x2 + 8x3 + 3x4 + 15x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)3 (X_b)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)4 (X_b)2 + (X_0)3 (X_b)2 (X_c)1 + (X_0)1 (X_b)5 + (X_0)1 (X_a)1 (X_b)4 + (X_0)3 (X_a)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_b)2 (X_c)3 + (X_0)2 (X_b)2 (X_c)2 + (X_0)4 (X_a)2 + (X_0)3 (X_a)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)3 (X_b)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)5 + (X_0)1 (X_a)4 (X_b)1 + (X_0)1 (X_a)2 (X_c)3 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0

Is it a nice code?: No

Generator Matrix-650

a 0 0 0 a 0
0 a a 0 0 a
b 0 0 0 b 0
0 b b 0 0 b
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b b 0 0 b
0 b a 0 0 a
b 0 0 0 b 0
b 0 c 0 b c
b b b 0 b b
b b a 0 b a
0 a a 0 0 a
0 a b 0 0 b
0 c c 0 0 c
0 c 0 0 0 0
b a a 0 b a
b a b 0 b b
b c c 0 b c
b c 0 0 b 0
a 0 0 0 a 0
a 0 c 0 a c
a b b 0 a b
a b a 0 a a
c 0 0 0 c 0
c 0 c 0 c c
c b b 0 c b
c b a 0 c a
a a a 0 a a
a a b 0 a b
a c c 0 a c
a c 0 0 a 0
c a a 0 c a
c a b 0 c b
c c c 0 c c
c c 0 0 c 0

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 4x2 + 8x3 + 3x4 + 15x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)1 (X_b)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)3 (X_a)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)1 (X_b)4 + (X_0)1 (X_b)2 (X_c)3 + (X_0)3 (X_b)2 (X_c)1 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)4 (X_b)1 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)3 (X_a)2 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0

Is it a nice code?: No

Generator Matrix-651

a 0 0 0 a 0
0 a a 0 0 a
b 0 0 0 b 0
0 b b 0 0 b
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b b 0 0 b
0 b a 0 c b
b 0 0 0 b 0
b 0 c 0 a 0
b b b 0 b b
b b a 0 a b
0 a a 0 0 a
0 a b 0 c a
0 c c 0 0 c
0 c 0 0 c c
b a a 0 b a
b a b 0 a a
b c c 0 b c
b c 0 0 a c
a 0 0 0 a 0
a 0 c 0 b 0
a b b 0 a b
a b a 0 b b
c 0 0 0 c 0
c 0 c 0 0 0
c b b 0 c b
c b a 0 0 b
a a a 0 a a
a a b 0 b a
a c c 0 a c
a c 0 0 b c
c a a 0 c a
c a b 0 0 a
c c c 0 c c
c c 0 0 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 5x2 + 7x3 + 6x4 + 13x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)4 (X_b)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_b)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_a)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)2 (X_b)3 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0

Is it a nice code?: No

Generator Matrix-652

a 0 0 0 a 0
0 a a 0 0 a
b 0 0 0 b 0
0 b b 0 0 b
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b b 0 0 b
0 b a 0 c a
b 0 0 0 b 0
b 0 c 0 a c
b b b 0 b b
b b a 0 a a
0 a a 0 0 a
0 a b 0 c b
0 c c 0 0 c
0 c 0 0 c 0
b a a 0 b a
b a b 0 a b
b c c 0 b c
b c 0 0 a 0
a 0 0 0 a 0
a 0 c 0 b c
a b b 0 a b
a b a 0 b a
c 0 0 0 c 0
c 0 c 0 0 c
c b b 0 c b
c b a 0 0 a
a a a 0 a a
a a b 0 b b
a c c 0 a c
a c 0 0 b 0
c a a 0 c a
c a b 0 0 b
c c c 0 c c
c c 0 0 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 5x2 + 7x3 + 6x4 + 13x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_b)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)3 (X_b)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)2 (X_c)3 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0

Is it a nice code?: No

Generator Matrix-653

a 0 0 0 a 0
0 a a 0 0 a
b 0 0 0 b 0
0 b b 0 0 b
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b b 0 0 b
0 b a c 0 b
b 0 0 0 b 0
b 0 c c b 0
b b b 0 b b
b b a c b b
0 a a 0 0 a
0 a b c 0 a
0 c c 0 0 c
0 c 0 c 0 c
b a a 0 b a
b a b c b a
b c c 0 b c
b c 0 c b c
a 0 0 0 a 0
a 0 c c a 0
a b b 0 a b
a b a c a b
c 0 0 0 c 0
c 0 c c c 0
c b b 0 c b
c b a c c b
a a a 0 a a
a a b c a a
a c c 0 a c
a c 0 c a c
c a a 0 c a
c a b c c a
c c c 0 c c
c c 0 c c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 4x3 + 5x4 + 12x5 + 6x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)1 (X_b)5 + (X_a)1 (X_b)4 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)3 (X_b)2 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_b)2 (X_c)3 + (X_0)1 (X_b)2 (X_c)3 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)3 + (X_a)3 (X_b)2 (X_c)1 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_b)3 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)5 + (X_a)4 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_c)3 + (X_0)1 (X_a)2 (X_c)3 + (X_0)1 (X_a)3 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0

Is it a nice code?: No

Generator Matrix-654

a 0 0 0 a 0
0 a a 0 0 a
b 0 0 0 b 0
0 b b 0 0 b
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b b 0 0 b
0 b a c 0 a
b 0 0 0 b 0
b 0 c c b c
b b b 0 b b
b b a c b a
0 a a 0 0 a
0 a b c 0 b
0 c c 0 0 c
0 c 0 c 0 0
b a a 0 b a
b a b c b b
b c c 0 b c
b c 0 c b 0
a 0 0 0 a 0
a 0 c c a c
a b b 0 a b
a b a c a a
c 0 0 0 c 0
c 0 c c c c
c b b 0 c b
c b a c c a
a a a 0 a a
a a b c a b
a c c 0 a c
a c 0 c a 0
c a a 0 c a
c a b c c b
c c c 0 c c
c c 0 c c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 4x3 + 5x4 + 12x5 + 6x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)4 (X_b)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)1 (X_b)5 + (X_a)2 (X_b)3 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_a)3 (X_b)2 + (X_a)1 (X_b)4 (X_c)1 + (X_0)1 (X_b)2 (X_c)3 + (X_0)2 (X_b)2 (X_c)2 + (X_0)4 (X_a)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)1 (X_a)2 (X_b)3 + (X_a)4 (X_b)1 (X_c)1 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5 + (X_0)1 (X_b)3 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)5 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_c)3 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)3 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0

Is it a nice code?: No

Generator Matrix-655

a 0 0 0 a 0
0 a a 0 0 a
b 0 0 0 b 0
0 b b 0 0 b
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b b 0 0 b
0 b a c c b
b 0 0 0 b 0
b 0 c c a 0
b b b 0 b b
b b a c a b
0 a a 0 0 a
0 a b c c a
0 c c 0 0 c
0 c 0 c c c
b a a 0 b a
b a b c a a
b c c 0 b c
b c 0 c a c
a 0 0 0 a 0
a 0 c c b 0
a b b 0 a b
a b a c b b
c 0 0 0 c 0
c 0 c c 0 0
c b b 0 c b
c b a c 0 b
a a a 0 a a
a a b c b a
a c c 0 a c
a c 0 c b c
c a a 0 c a
c a b c 0 a
c c c 0 c c
c c 0 c 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 5x3 + 4x4 + 15x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_b)5 + (X_a)2 (X_b)3 (X_c)1 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_a)3 (X_b)2 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)3 + (X_a)2 (X_b)3 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)5 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0

Is it a nice code?: No

Generator Matrix-656

a 0 0 0 a 0
0 a a 0 0 a
b 0 0 0 b 0
0 b b 0 0 b
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b b 0 0 b
0 b a c c a
b 0 0 0 b 0
b 0 c c a c
b b b 0 b b
b b a c a a
0 a a 0 0 a
0 a b c c b
0 c c 0 0 c
0 c 0 c c 0
b a a 0 b a
b a b c a b
b c c 0 b c
b c 0 c a 0
a 0 0 0 a 0
a 0 c c b c
a b b 0 a b
a b a c b a
c 0 0 0 c 0
c 0 c c 0 c
c b b 0 c b
c b a c 0 a
a a a 0 a a
a a b c b b
a c c 0 a c
a c 0 c b 0
c a a 0 c a
c a b c 0 b
c c c 0 c c
c c 0 c 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 5x3 + 4x4 + 15x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)3 (X_b)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)4 (X_b)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_b)5 + (X_a)3 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)3 (X_b)2 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_a)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)2 (X_b)3 + (X_a)3 (X_b)2 (X_c)1 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)5 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0

Is it a nice code?: No

Generator Matrix-657

a 0 0 0 a 0
0 a a 0 a 0
b 0 0 0 b 0
0 b b 0 b 0
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b b 0 b 0
0 b a 0 b 0
b 0 0 0 b 0
b 0 c 0 b 0
b b b 0 0 0
b b a 0 0 0
0 a a 0 a 0
0 a b 0 a 0
0 c c 0 c 0
0 c 0 0 c 0
b a a 0 c 0
b a b 0 c 0
b c c 0 a 0
b c 0 0 a 0
a 0 0 0 a 0
a 0 c 0 a 0
a b b 0 c 0
a b a 0 c 0
c 0 0 0 c 0
c 0 c 0 c 0
c b b 0 a 0
c b a 0 a 0
a a a 0 0 0
a a b 0 0 0
a c c 0 b 0
a c 0 0 b 0
c a a 0 b 0
c a b 0 b 0
c c c 0 0 0
c c 0 0 0 0

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 5x2 + 15x3 + 10x4 + 0x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)3 (X_b)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)4 (X_b)2 + (X_0)3 (X_b)2 (X_c)1 + (X_0)3 (X_b)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)3 (X_a)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)4 (X_a)2 + (X_0)3 (X_a)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_a)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c

Is it a nice code?: No

Generator Matrix-658

a 0 0 0 a 0
0 a a 0 a 0
b 0 0 0 b 0
0 b b 0 b 0
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b b 0 b 0
0 b a 0 b c
b 0 0 0 b 0
b 0 c 0 b c
b b b 0 0 0
b b a 0 0 c
0 a a 0 a 0
0 a b 0 a c
0 c c 0 c 0
0 c 0 0 c c
b a a 0 c 0
b a b 0 c c
b c c 0 a 0
b c 0 0 a c
a 0 0 0 a 0
a 0 c 0 a c
a b b 0 c 0
a b a 0 c c
c 0 0 0 c 0
c 0 c 0 c c
c b b 0 a 0
c b a 0 a c
a a a 0 0 0
a a b 0 0 c
a c c 0 b 0
a c 0 0 b c
c a a 0 b 0
c a b 0 b c
c c c 0 0 0
c c 0 0 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 8x3 + 15x4 + 4x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c

Is it a nice code?: No

Generator Matrix-659

a 0 0 0 a 0
0 a a 0 a 0
b 0 0 0 b 0
0 b b 0 b 0
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b b 0 b 0
0 b a 0 a 0
b 0 0 0 b 0
b 0 c 0 a 0
b b b 0 0 0
b b a 0 c 0
0 a a 0 a 0
0 a b 0 b 0
0 c c 0 c 0
0 c 0 0 0 0
b a a 0 c 0
b a b 0 0 0
b c c 0 a 0
b c 0 0 b 0
a 0 0 0 a 0
a 0 c 0 b 0
a b b 0 c 0
a b a 0 0 0
c 0 0 0 c 0
c 0 c 0 0 0
c b b 0 a 0
c b a 0 b 0
a a a 0 0 0
a a b 0 c 0
a c c 0 b 0
a c 0 0 a 0
c a a 0 b 0
c a b 0 a 0
c c c 0 0 0
c c 0 0 c 0

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 5x2 + 15x3 + 10x4 + 0x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)4 (X_b)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_a)1 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_b)2 (X_c)1 + (X_0)4 (X_a)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_a)2 (X_b)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_a)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c

Is it a nice code?: No

Generator Matrix-660

a 0 0 0 a 0
0 a a 0 a 0
b 0 0 0 b 0
0 b b 0 b 0
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b b 0 b 0
0 b a 0 a c
b 0 0 0 b 0
b 0 c 0 a c
b b b 0 0 0
b b a 0 c c
0 a a 0 a 0
0 a b 0 b c
0 c c 0 c 0
0 c 0 0 0 c
b a a 0 c 0
b a b 0 0 c
b c c 0 a 0
b c 0 0 b c
a 0 0 0 a 0
a 0 c 0 b c
a b b 0 c 0
a b a 0 0 c
c 0 0 0 c 0
c 0 c 0 0 c
c b b 0 a 0
c b a 0 b c
a a a 0 0 0
a a b 0 c c
a c c 0 b 0
a c 0 0 a c
c a a 0 b 0
c a b 0 a c
c c c 0 0 0
c c 0 0 c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 8x3 + 15x4 + 4x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c

Is it a nice code?: No

Generator Matrix-661

a 0 0 0 a 0
0 a a 0 a 0
b 0 0 0 b 0
0 b b 0 b 0
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b b 0 b 0
0 b a c b 0
b 0 0 0 b 0
b 0 c c b 0
b b b 0 0 0
b b a c 0 0
0 a a 0 a 0
0 a b c a 0
0 c c 0 c 0
0 c 0 c c 0
b a a 0 c 0
b a b c c 0
b c c 0 a 0
b c 0 c a 0
a 0 0 0 a 0
a 0 c c a 0
a b b 0 c 0
a b a c c 0
c 0 0 0 c 0
c 0 c c c 0
c b b 0 a 0
c b a c a 0
a a a 0 0 0
a a b c 0 0
a c c 0 b 0
a c 0 c b 0
c a a 0 b 0
c a b c b 0
c c c 0 0 0
c c 0 c 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 8x3 + 15x4 + 4x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c

Is it a nice code?: No

Generator Matrix-662

a 0 0 0 a 0
0 a a 0 a 0
b 0 0 0 b 0
0 b b 0 b 0
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b b 0 b 0
0 b a c b c
b 0 0 0 b 0
b 0 c c b c
b b b 0 0 0
b b a c 0 c
0 a a 0 a 0
0 a b c a c
0 c c 0 c 0
0 c 0 c c c
b a a 0 c 0
b a b c c c
b c c 0 a 0
b c 0 c a c
a 0 0 0 a 0
a 0 c c a c
a b b 0 c 0
a b a c c c
c 0 0 0 c 0
c 0 c c c c
c b b 0 a 0
c b a c a c
a a a 0 0 0
a a b c 0 c
a c c 0 b 0
a c 0 c b c
c a a 0 b 0
c a b c b c
c c c 0 0 0
c c 0 c 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 7x3 + 8x4 + 9x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)4 (X_b)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_a)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c

Is it a nice code?: No

Generator Matrix-663

a 0 0 0 a 0
0 a a 0 a 0
b 0 0 0 b 0
0 b b 0 b 0
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b b 0 b 0
0 b a c a 0
b 0 0 0 b 0
b 0 c c a 0
b b b 0 0 0
b b a c c 0
0 a a 0 a 0
0 a b c b 0
0 c c 0 c 0
0 c 0 c 0 0
b a a 0 c 0
b a b c 0 0
b c c 0 a 0
b c 0 c b 0
a 0 0 0 a 0
a 0 c c b 0
a b b 0 c 0
a b a c 0 0
c 0 0 0 c 0
c 0 c c 0 0
c b b 0 a 0
c b a c b 0
a a a 0 0 0
a a b c c 0
a c c 0 b 0
a c 0 c a 0
c a a 0 b 0
c a b c a 0
c c c 0 0 0
c c 0 c c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 8x3 + 15x4 + 4x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c

Is it a nice code?: No

Generator Matrix-664

a 0 0 0 a 0
0 a a 0 a 0
b 0 0 0 b 0
0 b b 0 b 0
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b b 0 b 0
0 b a c a c
b 0 0 0 b 0
b 0 c c a c
b b b 0 0 0
b b a c c c
0 a a 0 a 0
0 a b c b c
0 c c 0 c 0
0 c 0 c 0 c
b a a 0 c 0
b a b c 0 c
b c c 0 a 0
b c 0 c b c
a 0 0 0 a 0
a 0 c c b c
a b b 0 c 0
a b a c 0 c
c 0 0 0 c 0
c 0 c c 0 c
c b b 0 a 0
c b a c b c
a a a 0 0 0
a a b c c c
a c c 0 b 0
a c 0 c a c
c a a 0 b 0
c a b c a c
c c c 0 0 0
c c 0 c c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 7x3 + 8x4 + 9x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)3 (X_b)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)4 (X_b)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_b)3 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)4 (X_a)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)3 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c

Is it a nice code?: No

Generator Matrix-665

a 0 0 0 a 0
0 a a 0 a a
b 0 0 0 b 0
0 b b 0 b b
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b b 0 b b
0 b a 0 b b
b 0 0 0 b 0
b 0 c 0 b 0
b b b 0 0 b
b b a 0 0 b
0 a a 0 a a
0 a b 0 a a
0 c c 0 c c
0 c 0 0 c c
b a a 0 c a
b a b 0 c a
b c c 0 a c
b c 0 0 a c
a 0 0 0 a 0
a 0 c 0 a 0
a b b 0 c b
a b a 0 c b
c 0 0 0 c 0
c 0 c 0 c 0
c b b 0 a b
c b a 0 a b
a a a 0 0 a
a a b 0 0 a
a c c 0 b c
a c 0 0 b c
c a a 0 b a
c a b 0 b a
c c c 0 0 c
c c 0 0 0 c

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 3x2 + 5x3 + 12x4 + 10x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)2 (X_b)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)4 (X_b)2 + (X_0)3 (X_b)2 (X_c)1 + (X_0)2 (X_b)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)2 (X_a)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_a)2 + (X_0)3 (X_a)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0

Is it a nice code?: No

Generator Matrix-666

a 0 0 0 a 0
0 a a 0 a a
b 0 0 0 b 0
0 b b 0 b b
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b b 0 b b
0 b a 0 b a
b 0 0 0 b 0
b 0 c 0 b c
b b b 0 0 b
b b a 0 0 a
0 a a 0 a a
0 a b 0 a b
0 c c 0 c c
0 c 0 0 c 0
b a a 0 c a
b a b 0 c b
b c c 0 a c
b c 0 0 a 0
a 0 0 0 a 0
a 0 c 0 a c
a b b 0 c b
a b a 0 c a
c 0 0 0 c 0
c 0 c 0 c c
c b b 0 a b
c b a 0 a a
a a a 0 0 a
a a b 0 0 b
a c c 0 b c
a c 0 0 b 0
c a a 0 b a
c a b 0 b b
c c c 0 0 c
c c 0 0 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 6x2 + 2x3 + 13x4 + 10x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0

Is it a nice code?: No

Generator Matrix-667

a 0 0 0 a 0
0 a a 0 a a
b 0 0 0 b 0
0 b b 0 b b
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b b 0 b b
0 b a 0 a b
b 0 0 0 b 0
b 0 c 0 a 0
b b b 0 0 b
b b a 0 c b
0 a a 0 a a
0 a b 0 b a
0 c c 0 c c
0 c 0 0 0 c
b a a 0 c a
b a b 0 0 a
b c c 0 a c
b c 0 0 b c
a 0 0 0 a 0
a 0 c 0 b 0
a b b 0 c b
a b a 0 0 b
c 0 0 0 c 0
c 0 c 0 0 0
c b b 0 a b
c b a 0 b b
a a a 0 0 a
a a b 0 c a
a c c 0 b c
a c 0 0 a c
c a a 0 b a
c a b 0 a a
c c c 0 0 c
c c 0 0 c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 6x2 + 2x3 + 13x4 + 10x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)4 (X_b)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_b)2 (X_c)2 + (X_0)4 (X_a)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0

Is it a nice code?: No

Generator Matrix-668

a 0 0 0 a 0
0 a a 0 a a
b 0 0 0 b 0
0 b b 0 b b
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b b 0 b b
0 b a 0 a a
b 0 0 0 b 0
b 0 c 0 a c
b b b 0 0 b
b b a 0 c a
0 a a 0 a a
0 a b 0 b b
0 c c 0 c c
0 c 0 0 0 0
b a a 0 c a
b a b 0 0 b
b c c 0 a c
b c 0 0 b 0
a 0 0 0 a 0
a 0 c 0 b c
a b b 0 c b
a b a 0 0 a
c 0 0 0 c 0
c 0 c 0 0 c
c b b 0 a b
c b a 0 b a
a a a 0 0 a
a a b 0 c b
a c c 0 b c
a c 0 0 a 0
c a a 0 b a
c a b 0 a b
c c c 0 0 c
c c 0 0 c 0

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 3x2 + 5x3 + 12x4 + 10x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)2 (X_b)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_b)2 (X_c)1 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)3 (X_b)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_a)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0

Is it a nice code?: No

Generator Matrix-669

a 0 0 0 a 0
0 a a 0 a a
b 0 0 0 b 0
0 b b 0 b b
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b b 0 b b
0 b a c b b
b 0 0 0 b 0
b 0 c c b 0
b b b 0 0 b
b b a c 0 b
0 a a 0 a a
0 a b c a a
0 c c 0 c c
0 c 0 c c c
b a a 0 c a
b a b c c a
b c c 0 a c
b c 0 c a c
a 0 0 0 a 0
a 0 c c a 0
a b b 0 c b
a b a c c b
c 0 0 0 c 0
c 0 c c c 0
c b b 0 a b
c b a c a b
a a a 0 0 a
a a b c 0 a
a c c 0 b c
a c 0 c b c
c a a 0 b a
c a b c b a
c c c 0 0 c
c c 0 c 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 0x3 + 11x4 + 12x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0

Is it a nice code?: No

Generator Matrix-670

a 0 0 0 a 0
0 a a 0 a a
b 0 0 0 b 0
0 b b 0 b b
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b b 0 b b
0 b a c b a
b 0 0 0 b 0
b 0 c c b c
b b b 0 0 b
b b a c 0 a
0 a a 0 a a
0 a b c a b
0 c c 0 c c
0 c 0 c c 0
b a a 0 c a
b a b c c b
b c c 0 a c
b c 0 c a 0
a 0 0 0 a 0
a 0 c c a c
a b b 0 c b
a b a c c a
c 0 0 0 c 0
c 0 c c c c
c b b 0 a b
c b a c a a
a a a 0 0 a
a a b c 0 b
a c c 0 b c
a c 0 c b 0
c a a 0 b a
c a b c b b
c c c 0 0 c
c c 0 c 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 3x3 + 8x4 + 13x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)4 (X_b)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_a)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0

Is it a nice code?: No

Generator Matrix-671

a 0 0 0 a 0
0 a a 0 a a
b 0 0 0 b 0
0 b b 0 b b
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b b 0 b b
0 b a c a b
b 0 0 0 b 0
b 0 c c a 0
b b b 0 0 b
b b a c c b
0 a a 0 a a
0 a b c b a
0 c c 0 c c
0 c 0 c 0 c
b a a 0 c a
b a b c 0 a
b c c 0 a c
b c 0 c b c
a 0 0 0 a 0
a 0 c c b 0
a b b 0 c b
a b a c 0 b
c 0 0 0 c 0
c 0 c c 0 0
c b b 0 a b
c b a c b b
a a a 0 0 a
a a b c c a
a c c 0 b c
a c 0 c a c
c a a 0 b a
c a b c a a
c c c 0 0 c
c c 0 c c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 3x3 + 8x4 + 13x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_b)4 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_b)2 (X_c)3 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)4 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)2 (X_c)3 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0

Is it a nice code?: No

Generator Matrix-672

a 0 0 0 a 0
0 a a 0 a a
b 0 0 0 b 0
0 b b 0 b b
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b b 0 b b
0 b a c a a
b 0 0 0 b 0
b 0 c c a c
b b b 0 0 b
b b a c c a
0 a a 0 a a
0 a b c b b
0 c c 0 c c
0 c 0 c 0 0
b a a 0 c a
b a b c 0 b
b c c 0 a c
b c 0 c b 0
a 0 0 0 a 0
a 0 c c b c
a b b 0 c b
a b a c 0 a
c 0 0 0 c 0
c 0 c c 0 c
c b b 0 a b
c b a c b a
a a a 0 0 a
a a b c c b
a c c 0 b c
a c 0 c a 0
c a a 0 b a
c a b c a b
c c c 0 0 c
c c 0 c c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 0x3 + 11x4 + 12x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)2 (X_b)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)4 (X_b)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_b)4 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_b)2 (X_c)2 + (X_0)4 (X_a)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0

Is it a nice code?: No

Generator Matrix-673

a 0 0 0 a 0
0 a a a 0 0
b 0 0 0 b 0
0 b b b 0 0
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b b b 0 0
0 b a b 0 0
b 0 0 0 b 0
b 0 c 0 b 0
b b b b b 0
b b a b b 0
0 a a a 0 0
0 a b a 0 0
0 c c c 0 0
0 c 0 c 0 0
b a a a b 0
b a b a b 0
b c c c b 0
b c 0 c b 0
a 0 0 0 a 0
a 0 c 0 a 0
a b b b a 0
a b a b a 0
c 0 0 0 c 0
c 0 c 0 c 0
c b b b c 0
c b a b c 0
a a a a a 0
a a b a a 0
a c c c a 0
a c 0 c a 0
c a a a c 0
c a b a c 0
c c c c c 0
c c 0 c c 0

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 4x2 + 8x3 + 3x4 + 15x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)3 (X_b)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)4 (X_b)2 + (X_0)3 (X_b)2 (X_c)1 + (X_0)1 (X_b)5 + (X_0)1 (X_a)1 (X_b)4 + (X_0)3 (X_a)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_b)2 (X_c)3 + (X_0)2 (X_b)2 (X_c)2 + (X_0)4 (X_a)2 + (X_0)3 (X_a)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)3 (X_b)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)5 + (X_0)1 (X_a)4 (X_b)1 + (X_0)1 (X_a)2 (X_c)3 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c

Is it a nice code?: No

Generator Matrix-674

a 0 0 0 a 0
0 a a a 0 0
b 0 0 0 b 0
0 b b b 0 0
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b b b 0 0
0 b a b 0 c
b 0 0 0 b 0
b 0 c 0 b c
b b b b b 0
b b a b b c
0 a a a 0 0
0 a b a 0 c
0 c c c 0 0
0 c 0 c 0 c
b a a a b 0
b a b a b c
b c c c b 0
b c 0 c b c
a 0 0 0 a 0
a 0 c 0 a c
a b b b a 0
a b a b a c
c 0 0 0 c 0
c 0 c 0 c c
c b b b c 0
c b a b c c
a a a a a 0
a a b a a c
a c c c a 0
a c 0 c a c
c a a a c 0
c a b a c c
c c c c c 0
c c 0 c c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 4x3 + 5x4 + 12x5 + 6x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)1 (X_b)5 + (X_a)1 (X_b)4 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)3 (X_b)2 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_b)2 (X_c)3 + (X_0)1 (X_b)2 (X_c)3 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)3 + (X_a)3 (X_b)2 (X_c)1 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_b)3 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)5 + (X_a)4 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_c)3 + (X_0)1 (X_a)2 (X_c)3 + (X_0)1 (X_a)3 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c

Is it a nice code?: No

Generator Matrix-675

a 0 0 0 a 0
0 a a a 0 0
b 0 0 0 b 0
0 b b b 0 0
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b b b 0 0
0 b a b c 0
b 0 0 0 b 0
b 0 c 0 a 0
b b b b b 0
b b a b a 0
0 a a a 0 0
0 a b a c 0
0 c c c 0 0
0 c 0 c c 0
b a a a b 0
b a b a a 0
b c c c b 0
b c 0 c a 0
a 0 0 0 a 0
a 0 c 0 b 0
a b b b a 0
a b a b b 0
c 0 0 0 c 0
c 0 c 0 0 0
c b b b c 0
c b a b 0 0
a a a a a 0
a a b a b 0
a c c c a 0
a c 0 c b 0
c a a a c 0
c a b a 0 0
c c c c c 0
c c 0 c 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 5x2 + 7x3 + 6x4 + 13x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)4 (X_b)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_b)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_a)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)2 (X_b)3 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c

Is it a nice code?: No

Generator Matrix-676

a 0 0 0 a 0
0 a a a 0 0
b 0 0 0 b 0
0 b b b 0 0
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b b b 0 0
0 b a b c c
b 0 0 0 b 0
b 0 c 0 a c
b b b b b 0
b b a b a c
0 a a a 0 0
0 a b a c c
0 c c c 0 0
0 c 0 c c c
b a a a b 0
b a b a a c
b c c c b 0
b c 0 c a c
a 0 0 0 a 0
a 0 c 0 b c
a b b b a 0
a b a b b c
c 0 0 0 c 0
c 0 c 0 0 c
c b b b c 0
c b a b 0 c
a a a a a 0
a a b a b c
a c c c a 0
a c 0 c b c
c a a a c 0
c a b a 0 c
c c c c c 0
c c 0 c 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 5x3 + 4x4 + 15x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_b)5 + (X_a)2 (X_b)3 (X_c)1 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_a)3 (X_b)2 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)3 + (X_a)2 (X_b)3 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)5 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c

Is it a nice code?: No

Generator Matrix-677

a 0 0 0 a 0
0 a a a 0 0
b 0 0 0 b 0
0 b b b 0 0
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b b b 0 0
0 b a a 0 0
b 0 0 0 b 0
b 0 c c b 0
b b b b b 0
b b a a b 0
0 a a a 0 0
0 a b b 0 0
0 c c c 0 0
0 c 0 0 0 0
b a a a b 0
b a b b b 0
b c c c b 0
b c 0 0 b 0
a 0 0 0 a 0
a 0 c c a 0
a b b b a 0
a b a a a 0
c 0 0 0 c 0
c 0 c c c 0
c b b b c 0
c b a a c 0
a a a a a 0
a a b b a 0
a c c c a 0
a c 0 0 a 0
c a a a c 0
c a b b c 0
c c c c c 0
c c 0 0 c 0

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 4x2 + 8x3 + 3x4 + 15x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)1 (X_b)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)3 (X_a)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)1 (X_b)4 + (X_0)1 (X_b)2 (X_c)3 + (X_0)3 (X_b)2 (X_c)1 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)4 (X_b)1 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)3 (X_a)2 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c

Is it a nice code?: No

Generator Matrix-678

a 0 0 0 a 0
0 a a a 0 0
b 0 0 0 b 0
0 b b b 0 0
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b b b 0 0
0 b a a 0 c
b 0 0 0 b 0
b 0 c c b c
b b b b b 0
b b a a b c
0 a a a 0 0
0 a b b 0 c
0 c c c 0 0
0 c 0 0 0 c
b a a a b 0
b a b b b c
b c c c b 0
b c 0 0 b c
a 0 0 0 a 0
a 0 c c a c
a b b b a 0
a b a a a c
c 0 0 0 c 0
c 0 c c c c
c b b b c 0
c b a a c c
a a a a a 0
a a b b a c
a c c c a 0
a c 0 0 a c
c a a a c 0
c a b b c c
c c c c c 0
c c 0 0 c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 4x3 + 5x4 + 12x5 + 6x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)4 (X_b)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)1 (X_b)5 + (X_a)2 (X_b)3 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_a)3 (X_b)2 + (X_a)1 (X_b)4 (X_c)1 + (X_0)1 (X_b)2 (X_c)3 + (X_0)2 (X_b)2 (X_c)2 + (X_0)4 (X_a)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)1 (X_a)2 (X_b)3 + (X_a)4 (X_b)1 (X_c)1 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5 + (X_0)1 (X_b)3 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)5 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_c)3 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)3 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c

Is it a nice code?: No

Generator Matrix-679

a 0 0 0 a 0
0 a a a 0 0
b 0 0 0 b 0
0 b b b 0 0
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b b b 0 0
0 b a a c 0
b 0 0 0 b 0
b 0 c c a 0
b b b b b 0
b b a a a 0
0 a a a 0 0
0 a b b c 0
0 c c c 0 0
0 c 0 0 c 0
b a a a b 0
b a b b a 0
b c c c b 0
b c 0 0 a 0
a 0 0 0 a 0
a 0 c c b 0
a b b b a 0
a b a a b 0
c 0 0 0 c 0
c 0 c c 0 0
c b b b c 0
c b a a 0 0
a a a a a 0
a a b b b 0
a c c c a 0
a c 0 0 b 0
c a a a c 0
c a b b 0 0
c c c c c 0
c c 0 0 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 5x2 + 7x3 + 6x4 + 13x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_b)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)3 (X_b)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)2 (X_c)3 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c

Is it a nice code?: No

Generator Matrix-680

a 0 0 0 a 0
0 a a a 0 0
b 0 0 0 b 0
0 b b b 0 0
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b b b 0 0
0 b a a c c
b 0 0 0 b 0
b 0 c c a c
b b b b b 0
b b a a a c
0 a a a 0 0
0 a b b c c
0 c c c 0 0
0 c 0 0 c c
b a a a b 0
b a b b a c
b c c c b 0
b c 0 0 a c
a 0 0 0 a 0
a 0 c c b c
a b b b a 0
a b a a b c
c 0 0 0 c 0
c 0 c c 0 c
c b b b c 0
c b a a 0 c
a a a a a 0
a a b b b c
a c c c a 0
a c 0 0 b c
c a a a c 0
c a b b 0 c
c c c c c 0
c c 0 0 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 5x3 + 4x4 + 15x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)3 (X_b)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)4 (X_b)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_b)5 + (X_a)3 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)3 (X_b)2 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_a)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)2 (X_b)3 + (X_a)3 (X_b)2 (X_c)1 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)5 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c

Is it a nice code?: No

Generator Matrix-681

a 0 0 0 a 0
0 a a a 0 a
b 0 0 0 b 0
0 b b b 0 b
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b b b 0 b
0 b a b 0 b
b 0 0 0 b 0
b 0 c 0 b 0
b b b b b b
b b a b b b
0 a a a 0 a
0 a b a 0 a
0 c c c 0 c
0 c 0 c 0 c
b a a a b a
b a b a b a
b c c c b c
b c 0 c b c
a 0 0 0 a 0
a 0 c 0 a 0
a b b b a b
a b a b a b
c 0 0 0 c 0
c 0 c 0 c 0
c b b b c b
c b a b c b
a a a a a a
a a b a a a
a c c c a c
a c 0 c a c
c a a a c a
c a b a c a
c c c c c c
c c 0 c c c

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 3x2 + 4x3 + 5x4 + 3x5 + 15x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)2 (X_b)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)4 (X_b)2 + (X_0)3 (X_b)2 (X_c)1 + (X_b)6 + (X_a)1 (X_b)5 + (X_0)2 (X_a)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_a)4 (X_b)2 + (X_a)3 (X_b)3 + (X_b)2 (X_c)4 + (X_0)1 (X_b)2 (X_c)3 + (X_0)4 (X_a)2 + (X_0)3 (X_a)2 (X_c)1 + (X_a)2 (X_b)4 + (X_a)3 (X_b)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_b)4 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_a)6 + (X_a)5 (X_b)1 + (X_a)2 (X_c)4 + (X_0)1 (X_a)2 (X_c)3 + (X_a)4 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_c)6 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-682

a 0 0 0 a 0
0 a a a 0 a
b 0 0 0 b 0
0 b b b 0 b
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b b b 0 b
0 b a b 0 a
b 0 0 0 b 0
b 0 c 0 b c
b b b b b b
b b a b b a
0 a a a 0 a
0 a b a 0 b
0 c c c 0 c
0 c 0 c 0 0
b a a a b a
b a b a b b
b c c c b c
b c 0 c b 0
a 0 0 0 a 0
a 0 c 0 a c
a b b b a b
a b a b a a
c 0 0 0 c 0
c 0 c 0 c c
c b b b c b
c b a b c a
a a a a a a
a a b a a b
a c c c a c
a c 0 c a 0
c a a a c a
c a b a c b
c c c c c c
c c 0 c c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 5x2 + 0x3 + 11x4 + 0x5 + 15x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_b)6 + (X_a)2 (X_b)4 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_a)4 (X_b)2 + (X_a)2 (X_b)4 + (X_b)2 (X_c)4 + (X_0)2 (X_b)2 (X_c)2 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_a)2 (X_b)4 + (X_a)4 (X_b)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_b)4 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_a)6 + (X_a)4 (X_b)2 + (X_a)2 (X_c)4 + (X_0)2 (X_a)2 (X_c)2 + (X_a)4 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_c)6 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-683

a 0 0 0 a 0
0 a a a 0 a
b 0 0 0 b 0
0 b b b 0 b
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b b b 0 b
0 b a b c b
b 0 0 0 b 0
b 0 c 0 a 0
b b b b b b
b b a b a b
0 a a a 0 a
0 a b a c a
0 c c c 0 c
0 c 0 c c c
b a a a b a
b a b a a a
b c c c b c
b c 0 c a c
a 0 0 0 a 0
a 0 c 0 b 0
a b b b a b
a b a b b b
c 0 0 0 c 0
c 0 c 0 0 0
c b b b c b
c b a b 0 b
a a a a a a
a a b a b a
a c c c a c
a c 0 c b c
c a a a c a
c a b a 0 a
c c c c c c
c c 0 c 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 5x2 + 2x3 + 5x4 + 6x5 + 13x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)4 (X_b)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_b)6 + (X_a)2 (X_b)4 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_a)4 (X_b)2 + (X_a)4 (X_b)2 + (X_b)2 (X_c)4 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_a)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_a)2 (X_b)4 + (X_a)2 (X_b)4 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_b)4 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)6 + (X_a)4 (X_b)2 + (X_a)2 (X_c)4 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_a)4 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_c)6 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-684

a 0 0 0 a 0
0 a a a 0 a
b 0 0 0 b 0
0 b b b 0 b
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b b b 0 b
0 b a b c a
b 0 0 0 b 0
b 0 c 0 a c
b b b b b b
b b a b a a
0 a a a 0 a
0 a b a c b
0 c c c 0 c
0 c 0 c c 0
b a a a b a
b a b a a b
b c c c b c
b c 0 c a 0
a 0 0 0 a 0
a 0 c 0 b c
a b b b a b
a b a b b a
c 0 0 0 c 0
c 0 c 0 0 c
c b b b c b
c b a b 0 a
a a a a a a
a a b a b b
a c c c a c
a c 0 c b 0
c a a a c a
c a b a 0 b
c c c c c c
c c 0 c 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 4x3 + 7x4 + 4x5 + 13x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_b)6 + (X_a)3 (X_b)3 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_a)4 (X_b)2 + (X_a)3 (X_b)3 + (X_b)2 (X_c)4 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_a)2 (X_b)4 + (X_a)3 (X_b)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_b)4 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)6 + (X_a)3 (X_b)3 + (X_a)2 (X_c)4 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_a)4 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_c)6 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-685

a 0 0 0 a 0
0 a a a 0 a
b 0 0 0 b 0
0 b b b 0 b
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b b b 0 b
0 b a a 0 b
b 0 0 0 b 0
b 0 c c b 0
b b b b b b
b b a a b b
0 a a a 0 a
0 a b b 0 a
0 c c c 0 c
0 c 0 0 0 c
b a a a b a
b a b b b a
b c c c b c
b c 0 0 b c
a 0 0 0 a 0
a 0 c c a 0
a b b b a b
a b a a a b
c 0 0 0 c 0
c 0 c c c 0
c b b b c b
c b a a c b
a a a a a a
a a b b a a
a c c c a c
a c 0 0 a c
c a a a c a
c a b b c a
c c c c c c
c c 0 0 c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 5x2 + 0x3 + 11x4 + 0x5 + 15x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_b)6 + (X_a)2 (X_b)4 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_a)4 (X_b)2 + (X_a)2 (X_b)4 + (X_b)2 (X_c)4 + (X_0)2 (X_b)2 (X_c)2 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_a)2 (X_b)4 + (X_a)4 (X_b)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_b)4 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_a)6 + (X_a)4 (X_b)2 + (X_a)2 (X_c)4 + (X_0)2 (X_a)2 (X_c)2 + (X_a)4 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_c)6 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-686

a 0 0 0 a 0
0 a a a 0 a
b 0 0 0 b 0
0 b b b 0 b
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b b b 0 b
0 b a a 0 a
b 0 0 0 b 0
b 0 c c b c
b b b b b b
b b a a b a
0 a a a 0 a
0 a b b 0 b
0 c c c 0 c
0 c 0 0 0 0
b a a a b a
b a b b b b
b c c c b c
b c 0 0 b 0
a 0 0 0 a 0
a 0 c c a c
a b b b a b
a b a a a a
c 0 0 0 c 0
c 0 c c c c
c b b b c b
c b a a c a
a a a a a a
a a b b a b
a c c c a c
a c 0 0 a 0
c a a a c a
c a b b c b
c c c c c c
c c 0 0 c 0

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 3x2 + 4x3 + 5x4 + 3x5 + 15x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)2 (X_b)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)4 (X_b)2 + (X_0)1 (X_b)2 (X_c)3 + (X_b)6 + (X_a)3 (X_b)3 + (X_0)2 (X_a)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_a)4 (X_b)2 + (X_a)1 (X_b)5 + (X_b)2 (X_c)4 + (X_0)3 (X_b)2 (X_c)1 + (X_0)4 (X_a)2 + (X_0)1 (X_a)2 (X_c)3 + (X_a)2 (X_b)4 + (X_a)5 (X_b)1 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5 + (X_b)4 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_a)6 + (X_a)3 (X_b)3 + (X_a)2 (X_c)4 + (X_0)3 (X_a)2 (X_c)1 + (X_a)4 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_c)6 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-687

a 0 0 0 a 0
0 a a a 0 a
b 0 0 0 b 0
0 b b b 0 b
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b b b 0 b
0 b a a c b
b 0 0 0 b 0
b 0 c c a 0
b b b b b b
b b a a a b
0 a a a 0 a
0 a b b c a
0 c c c 0 c
0 c 0 0 c c
b a a a b a
b a b b a a
b c c c b c
b c 0 0 a c
a 0 0 0 a 0
a 0 c c b 0
a b b b a b
a b a a b b
c 0 0 0 c 0
c 0 c c 0 0
c b b b c b
c b a a 0 b
a a a a a a
a a b b b a
a c c c a c
a c 0 0 b c
c a a a c a
c a b b 0 a
c c c c c c
c c 0 0 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 4x3 + 7x4 + 4x5 + 13x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_b)6 + (X_a)3 (X_b)3 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_a)4 (X_b)2 + (X_a)3 (X_b)3 + (X_b)2 (X_c)4 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_a)2 (X_b)4 + (X_a)3 (X_b)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_b)4 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)6 + (X_a)3 (X_b)3 + (X_a)2 (X_c)4 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_a)4 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_c)6 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-688

a 0 0 0 a 0
0 a a a 0 a
b 0 0 0 b 0
0 b b b 0 b
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b b b 0 b
0 b a a c a
b 0 0 0 b 0
b 0 c c a c
b b b b b b
b b a a a a
0 a a a 0 a
0 a b b c b
0 c c c 0 c
0 c 0 0 c 0
b a a a b a
b a b b a b
b c c c b c
b c 0 0 a 0
a 0 0 0 a 0
a 0 c c b c
a b b b a b
a b a a b a
c 0 0 0 c 0
c 0 c c 0 c
c b b b c b
c b a a 0 a
a a a a a a
a a b b b b
a c c c a c
a c 0 0 b 0
c a a a c a
c a b b 0 b
c c c c c c
c c 0 0 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 5x2 + 2x3 + 5x4 + 6x5 + 13x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)2 (X_b)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)4 (X_b)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_b)6 + (X_a)4 (X_b)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_a)4 (X_b)2 + (X_a)2 (X_b)4 + (X_b)2 (X_c)4 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)4 (X_a)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_a)2 (X_b)4 + (X_a)4 (X_b)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_b)4 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)6 + (X_a)2 (X_b)4 + (X_a)2 (X_c)4 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_a)4 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_c)6 + (X_0)4 (X_c)2

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-689

a 0 0 0 a 0
0 a a a a 0
b 0 0 0 b 0
0 b b b b 0
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b b b b 0
0 b a b b 0
b 0 0 0 b 0
b 0 c 0 b 0
b b b b 0 0
b b a b 0 0
0 a a a a 0
0 a b a a 0
0 c c c c 0
0 c 0 c c 0
b a a a c 0
b a b a c 0
b c c c a 0
b c 0 c a 0
a 0 0 0 a 0
a 0 c 0 a 0
a b b b c 0
a b a b c 0
c 0 0 0 c 0
c 0 c 0 c 0
c b b b a 0
c b a b a 0
a a a a 0 0
a a b a 0 0
a c c c b 0
a c 0 c b 0
c a a a b 0
c a b a b 0
c c c c 0 0
c c 0 c 0 0

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 3x2 + 5x3 + 12x4 + 10x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)2 (X_b)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)4 (X_b)2 + (X_0)3 (X_b)2 (X_c)1 + (X_0)2 (X_b)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)2 (X_a)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_a)2 + (X_0)3 (X_a)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c

Is it a nice code?: No

Generator Matrix-690

a 0 0 0 a 0
0 a a a a 0
b 0 0 0 b 0
0 b b b b 0
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b b b b 0
0 b a b b c
b 0 0 0 b 0
b 0 c 0 b c
b b b b 0 0
b b a b 0 c
0 a a a a 0
0 a b a a c
0 c c c c 0
0 c 0 c c c
b a a a c 0
b a b a c c
b c c c a 0
b c 0 c a c
a 0 0 0 a 0
a 0 c 0 a c
a b b b c 0
a b a b c c
c 0 0 0 c 0
c 0 c 0 c c
c b b b a 0
c b a b a c
a a a a 0 0
a a b a 0 c
a c c c b 0
a c 0 c b c
c a a a b 0
c a b a b c
c c c c 0 0
c c 0 c 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 0x3 + 11x4 + 12x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c

Is it a nice code?: No

Generator Matrix-691

a 0 0 0 a 0
0 a a a a 0
b 0 0 0 b 0
0 b b b b 0
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b b b b 0
0 b a b a 0
b 0 0 0 b 0
b 0 c 0 a 0
b b b b 0 0
b b a b c 0
0 a a a a 0
0 a b a b 0
0 c c c c 0
0 c 0 c 0 0
b a a a c 0
b a b a 0 0
b c c c a 0
b c 0 c b 0
a 0 0 0 a 0
a 0 c 0 b 0
a b b b c 0
a b a b 0 0
c 0 0 0 c 0
c 0 c 0 0 0
c b b b a 0
c b a b b 0
a a a a 0 0
a a b a c 0
a c c c b 0
a c 0 c a 0
c a a a b 0
c a b a a 0
c c c c 0 0
c c 0 c c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 6x2 + 2x3 + 13x4 + 10x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)4 (X_b)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_b)2 (X_c)2 + (X_0)4 (X_a)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c

Is it a nice code?: No

Generator Matrix-692

a 0 0 0 a 0
0 a a a a 0
b 0 0 0 b 0
0 b b b b 0
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b b b b 0
0 b a b a c
b 0 0 0 b 0
b 0 c 0 a c
b b b b 0 0
b b a b c c
0 a a a a 0
0 a b a b c
0 c c c c 0
0 c 0 c 0 c
b a a a c 0
b a b a 0 c
b c c c a 0
b c 0 c b c
a 0 0 0 a 0
a 0 c 0 b c
a b b b c 0
a b a b 0 c
c 0 0 0 c 0
c 0 c 0 0 c
c b b b a 0
c b a b b c
a a a a 0 0
a a b a c c
a c c c b 0
a c 0 c a c
c a a a b 0
c a b a a c
c c c c 0 0
c c 0 c c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 3x3 + 8x4 + 13x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_b)4 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_b)2 (X_c)3 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)4 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)2 (X_c)3 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c

Is it a nice code?: No

Generator Matrix-693

a 0 0 0 a 0
0 a a a a 0
b 0 0 0 b 0
0 b b b b 0
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b b b b 0
0 b a a b 0
b 0 0 0 b 0
b 0 c c b 0
b b b b 0 0
b b a a 0 0
0 a a a a 0
0 a b b a 0
0 c c c c 0
0 c 0 0 c 0
b a a a c 0
b a b b c 0
b c c c a 0
b c 0 0 a 0
a 0 0 0 a 0
a 0 c c a 0
a b b b c 0
a b a a c 0
c 0 0 0 c 0
c 0 c c c 0
c b b b a 0
c b a a a 0
a a a a 0 0
a a b b 0 0
a c c c b 0
a c 0 0 b 0
c a a a b 0
c a b b b 0
c c c c 0 0
c c 0 0 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 6x2 + 2x3 + 13x4 + 10x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c

Is it a nice code?: No

Generator Matrix-694

a 0 0 0 a 0
0 a a a a 0
b 0 0 0 b 0
0 b b b b 0
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b b b b 0
0 b a a b c
b 0 0 0 b 0
b 0 c c b c
b b b b 0 0
b b a a 0 c
0 a a a a 0
0 a b b a c
0 c c c c 0
0 c 0 0 c c
b a a a c 0
b a b b c c
b c c c a 0
b c 0 0 a c
a 0 0 0 a 0
a 0 c c a c
a b b b c 0
a b a a c c
c 0 0 0 c 0
c 0 c c c c
c b b b a 0
c b a a a c
a a a a 0 0
a a b b 0 c
a c c c b 0
a c 0 0 b c
c a a a b 0
c a b b b c
c c c c 0 0
c c 0 0 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 3x3 + 8x4 + 13x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)4 (X_b)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_a)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c

Is it a nice code?: No

Generator Matrix-695

a 0 0 0 a 0
0 a a a a 0
b 0 0 0 b 0
0 b b b b 0
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b b b b 0
0 b a a a 0
b 0 0 0 b 0
b 0 c c a 0
b b b b 0 0
b b a a c 0
0 a a a a 0
0 a b b b 0
0 c c c c 0
0 c 0 0 0 0
b a a a c 0
b a b b 0 0
b c c c a 0
b c 0 0 b 0
a 0 0 0 a 0
a 0 c c b 0
a b b b c 0
a b a a 0 0
c 0 0 0 c 0
c 0 c c 0 0
c b b b a 0
c b a a b 0
a a a a 0 0
a a b b c 0
a c c c b 0
a c 0 0 a 0
c a a a b 0
c a b b a 0
c c c c 0 0
c c 0 0 c 0

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 3x2 + 5x3 + 12x4 + 10x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)2 (X_b)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_b)2 (X_c)1 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)3 (X_b)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_a)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c

Is it a nice code?: No

Generator Matrix-696

a 0 0 0 a 0
0 a a a a 0
b 0 0 0 b 0
0 b b b b 0
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b b b b 0
0 b a a a c
b 0 0 0 b 0
b 0 c c a c
b b b b 0 0
b b a a c c
0 a a a a 0
0 a b b b c
0 c c c c 0
0 c 0 0 0 c
b a a a c 0
b a b b 0 c
b c c c a 0
b c 0 0 b c
a 0 0 0 a 0
a 0 c c b c
a b b b c 0
a b a a 0 c
c 0 0 0 c 0
c 0 c c 0 c
c b b b a 0
c b a a b c
a a a a 0 0
a a b b c c
a c c c b 0
a c 0 0 a c
c a a a b 0
c a b b a c
c c c c 0 0
c c 0 0 c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 0x3 + 11x4 + 12x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)2 (X_b)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)4 (X_b)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_b)4 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_b)2 (X_c)2 + (X_0)4 (X_a)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c

Is it a nice code?: No

Generator Matrix-697

a 0 0 0 a 0
0 a a a a a
b 0 0 0 b 0
0 b b b b b
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b b b b b
0 b a b b b
b 0 0 0 b 0
b 0 c 0 b 0
b b b b 0 b
b b a b 0 b
0 a a a a a
0 a b a a a
0 c c c c c
0 c 0 c c c
b a a a c a
b a b a c a
b c c c a c
b c 0 c a c
a 0 0 0 a 0
a 0 c 0 a 0
a b b b c b
a b a b c b
c 0 0 0 c 0
c 0 c 0 c 0
c b b b a b
c b a b a b
a a a a 0 a
a a b a 0 a
a c c c b c
a c 0 c b c
c a a a b a
c a b a b a
c c c c 0 c
c c 0 c 0 c

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 3x2 + 3x3 + 2x4 + 12x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)1 (X_b)5 + (X_0)1 (X_a)1 (X_b)4 + (X_0)4 (X_b)2 + (X_0)3 (X_b)2 (X_c)1 + (X_0)1 (X_b)5 + (X_0)1 (X_a)1 (X_b)4 + (X_0)1 (X_a)5 + (X_0)1 (X_a)4 (X_b)1 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_a)4 (X_b)1 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)1 (X_b)1 (X_c)4 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_a)2 + (X_0)3 (X_a)2 (X_c)1 + (X_a)1 (X_b)4 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_a)1 (X_b)4 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)4 (X_b)1 + (X_a)1 (X_b)1 (X_c)4 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_a)4 (X_b)1 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-698

a 0 0 0 a 0
0 a a a a a
b 0 0 0 b 0
0 b b b b b
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b b b b b
0 b a b b a
b 0 0 0 b 0
b 0 c 0 b c
b b b b 0 b
b b a b 0 a
0 a a a a a
0 a b a a b
0 c c c c c
0 c 0 c c 0
b a a a c a
b a b a c b
b c c c a c
b c 0 c a 0
a 0 0 0 a 0
a 0 c 0 a c
a b b b c b
a b a b c a
c 0 0 0 c 0
c 0 c 0 c c
c b b b a b
c b a b a a
a a a a 0 a
a a b a 0 b
a c c c b c
a c 0 c b 0
c a a a b a
c a b a b b
c c c c 0 c
c c 0 c 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 2x3 + 5x4 + 10x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)1 (X_b)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)1 (X_b)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_a)4 (X_b)1 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)1 (X_b)1 (X_c)4 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_a)1 (X_b)4 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_a)1 (X_b)4 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)3 (X_b)2 + (X_a)1 (X_b)1 (X_c)4 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_a)4 (X_b)1 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-699

a 0 0 0 a 0
0 a a a a a
b 0 0 0 b 0
0 b b b b b
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b b b b b
0 b a b a b
b 0 0 0 b 0
b 0 c 0 a 0
b b b b 0 b
b b a b c b
0 a a a a a
0 a b a b a
0 c c c c c
0 c 0 c 0 c
b a a a c a
b a b a 0 a
b c c c a c
b c 0 c b c
a 0 0 0 a 0
a 0 c 0 b 0
a b b b c b
a b a b 0 b
c 0 0 0 c 0
c 0 c 0 0 0
c b b b a b
c b a b b b
a a a a 0 a
a a b a c a
a c c c b c
a c 0 c a c
c a a a b a
c a b a a a
c c c c 0 c
c c 0 c c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 5x2 + 3x3 + 0x4 + 13x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)1 (X_b)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)4 (X_b)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_b)5 + (X_a)1 (X_b)4 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_a)4 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_a)1 (X_b)1 (X_c)4 + (X_0)1 (X_b)2 (X_c)3 + (X_0)4 (X_a)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_a)1 (X_b)4 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_a)1 (X_b)4 (X_c)1 + (X_a)1 (X_b)4 (X_c)1 + (X_0)1 (X_a)5 + (X_a)4 (X_b)1 (X_c)1 + (X_a)1 (X_b)1 (X_c)4 + (X_0)1 (X_a)2 (X_c)3 + (X_a)4 (X_b)1 (X_c)1 + (X_a)4 (X_b)1 (X_c)1 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-700

a 0 0 0 a 0
0 a a a a a
b 0 0 0 b 0
0 b b b b b
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b b b b b
0 b a b a a
b 0 0 0 b 0
b 0 c 0 a c
b b b b 0 b
b b a b c a
0 a a a a a
0 a b a b b
0 c c c c c
0 c 0 c 0 0
b a a a c a
b a b a 0 b
b c c c a c
b c 0 c b 0
a 0 0 0 a 0
a 0 c 0 b c
a b b b c b
a b a b 0 a
c 0 0 0 c 0
c 0 c 0 0 c
c b b b a b
c b a b b a
a a a a 0 a
a a b a c b
a c c c b c
a c 0 c a 0
c a a a b a
c a b a a b
c c c c 0 c
c c 0 c c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 2x3 + 5x4 + 10x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)1 (X_b)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_b)5 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2 + (X_a)4 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_a)1 (X_b)1 (X_c)4 + (X_0)2 (X_b)2 (X_c)2 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_a)1 (X_b)4 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_a)1 (X_b)4 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)5 + (X_a)3 (X_b)2 (X_c)1 + (X_a)1 (X_b)1 (X_c)4 + (X_0)2 (X_a)2 (X_c)2 + (X_a)4 (X_b)1 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-701

a 0 0 0 a 0
0 a a a a a
b 0 0 0 b 0
0 b b b b b
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b b b b b
0 b a a b b
b 0 0 0 b 0
b 0 c c b 0
b b b b 0 b
b b a a 0 b
0 a a a a a
0 a b b a a
0 c c c c c
0 c 0 0 c c
b a a a c a
b a b b c a
b c c c a c
b c 0 0 a c
a 0 0 0 a 0
a 0 c c a 0
a b b b c b
a b a a c b
c 0 0 0 c 0
c 0 c c c 0
c b b b a b
c b a a a b
a a a a 0 a
a a b b 0 a
a c c c b c
a c 0 0 b c
c a a a b a
c a b b b a
c c c c 0 c
c c 0 0 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 2x3 + 5x4 + 10x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)1 (X_b)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)1 (X_b)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_a)4 (X_b)1 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)1 (X_b)1 (X_c)4 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_a)1 (X_b)4 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_a)1 (X_b)4 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)3 (X_b)2 + (X_a)1 (X_b)1 (X_c)4 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_a)4 (X_b)1 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-702

a 0 0 0 a 0
0 a a a a a
b 0 0 0 b 0
0 b b b b b
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b b b b b
0 b a a b a
b 0 0 0 b 0
b 0 c c b c
b b b b 0 b
b b a a 0 a
0 a a a a a
0 a b b a b
0 c c c c c
0 c 0 0 c 0
b a a a c a
b a b b c b
b c c c a c
b c 0 0 a 0
a 0 0 0 a 0
a 0 c c a c
a b b b c b
a b a a c a
c 0 0 0 c 0
c 0 c c c c
c b b b a b
c b a a a a
a a a a 0 a
a a b b 0 b
a c c c b c
a c 0 0 b 0
c a a a b a
c a b b b b
c c c c 0 c
c c 0 0 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 5x2 + 3x3 + 0x4 + 13x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)1 (X_b)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)4 (X_b)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)1 (X_b)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2 + (X_a)4 (X_b)1 (X_c)1 + (X_a)1 (X_b)4 (X_c)1 + (X_a)1 (X_b)1 (X_c)4 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)4 (X_a)2 + (X_0)1 (X_a)2 (X_c)3 + (X_a)1 (X_b)4 (X_c)1 + (X_a)4 (X_b)1 (X_c)1 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5 + (X_a)1 (X_b)4 (X_c)1 + (X_a)4 (X_b)1 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)2 (X_b)3 + (X_a)1 (X_b)1 (X_c)4 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_a)4 (X_b)1 (X_c)1 + (X_a)1 (X_b)4 (X_c)1 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-703

a 0 0 0 a 0
0 a a a a a
b 0 0 0 b 0
0 b b b b b
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b b b b b
0 b a a a b
b 0 0 0 b 0
b 0 c c a 0
b b b b 0 b
b b a a c b
0 a a a a a
0 a b b b a
0 c c c c c
0 c 0 0 0 c
b a a a c a
b a b b 0 a
b c c c a c
b c 0 0 b c
a 0 0 0 a 0
a 0 c c b 0
a b b b c b
a b a a 0 b
c 0 0 0 c 0
c 0 c c 0 0
c b b b a b
c b a a b b
a a a a 0 a
a a b b c a
a c c c b c
a c 0 0 a c
c a a a b a
c a b b a a
c c c c 0 c
c c 0 0 c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 2x3 + 5x4 + 10x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)1 (X_b)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_b)5 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2 + (X_a)4 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_a)1 (X_b)1 (X_c)4 + (X_0)2 (X_b)2 (X_c)2 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_a)1 (X_b)4 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_a)1 (X_b)4 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)5 + (X_a)3 (X_b)2 (X_c)1 + (X_a)1 (X_b)1 (X_c)4 + (X_0)2 (X_a)2 (X_c)2 + (X_a)4 (X_b)1 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-704

a 0 0 0 a 0
0 a a a a a
b 0 0 0 b 0
0 b b b b b
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b b b b b
0 b a a a a
b 0 0 0 b 0
b 0 c c a c
b b b b 0 b
b b a a c a
0 a a a a a
0 a b b b b
0 c c c c c
0 c 0 0 0 0
b a a a c a
b a b b 0 b
b c c c a c
b c 0 0 b 0
a 0 0 0 a 0
a 0 c c b c
a b b b c b
a b a a 0 a
c 0 0 0 c 0
c 0 c c 0 c
c b b b a b
c b a a b a
a a a a 0 a
a a b b c b
a c c c b c
a c 0 0 a 0
c a a a b a
c a b b a b
c c c c 0 c
c c 0 0 c 0

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 3x2 + 3x3 + 2x4 + 12x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)1 (X_b)5 + (X_0)1 (X_a)4 (X_b)1 + (X_0)4 (X_b)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_b)5 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)1 (X_b)4 + (X_0)1 (X_c)5 + (X_0)5 (X_c)1 + (X_a)4 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)4 + (X_a)1 (X_b)1 (X_c)4 + (X_0)3 (X_b)2 (X_c)1 + (X_0)4 (X_a)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_a)1 (X_b)4 (X_c)1 + (X_0)1 (X_a)4 (X_b)1 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_a)1 (X_b)4 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)5 + (X_a)2 (X_b)3 (X_c)1 + (X_a)1 (X_b)1 (X_c)4 + (X_0)3 (X_a)2 (X_c)1 + (X_a)4 (X_b)1 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-705

a 0 0 0 a a
0 a a 0 0 0
b 0 0 0 b b
0 b b 0 0 0
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b b 0 0 0
0 b a 0 0 0
b 0 0 0 b b
b 0 c 0 b b
b b b 0 b b
b b a 0 b b
0 a a 0 0 0
0 a b 0 0 0
0 c c 0 0 0
0 c 0 0 0 0
b a a 0 b b
b a b 0 b b
b c c 0 b b
b c 0 0 b b
a 0 0 0 a a
a 0 c 0 a a
a b b 0 a a
a b a 0 a a
c 0 0 0 c c
c 0 c 0 c c
c b b 0 c c
c b a 0 c c
a a a 0 a a
a a b 0 a a
a c c 0 a a
a c 0 0 a a
c a a 0 c c
c a b 0 c c
c c c 0 c c
c c 0 0 c c

dmin: 1
Weight Enumerator: 1x0 + 2x1 + 5x2 + 3x3 + 6x4 + 15x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)4 (X_b)2 + (X_0)4 (X_a)1 (X_b)1 + (X_0)3 (X_b)3 + (X_0)2 (X_b)3 (X_c)1 + (X_0)1 (X_b)5 + (X_0)1 (X_a)1 (X_b)4 + (X_0)4 (X_a)2 + (X_0)4 (X_a)1 (X_b)1 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)1 (X_b)4 + (X_0)1 (X_b)3 (X_c)2 + (X_0)2 (X_b)3 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)3 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)4 (X_b)1 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)5 + (X_0)1 (X_a)4 (X_b)1 + (X_0)1 (X_a)3 (X_c)2 + (X_0)2 (X_a)3 (X_c)1 + (X_0)1 (X_a)2 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0

Is it a nice code?: No

Generator Matrix-706

a 0 0 0 a a
0 a a 0 0 0
b 0 0 0 b b
0 b b 0 0 0
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b b 0 0 0
0 b a 0 0 c
b 0 0 0 b b
b 0 c 0 b a
b b b 0 b b
b b a 0 b a
0 a a 0 0 0
0 a b 0 0 c
0 c c 0 0 0
0 c 0 0 0 c
b a a 0 b b
b a b 0 b a
b c c 0 b b
b c 0 0 b a
a 0 0 0 a a
a 0 c 0 a b
a b b 0 a a
a b a 0 a b
c 0 0 0 c c
c 0 c 0 c 0
c b b 0 c c
c b a 0 c 0
a a a 0 a a
a a b 0 a b
a c c 0 a a
a c 0 0 a b
c a a 0 c c
c a b 0 c 0
c c c 0 c c
c c 0 0 c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 5x2 + 7x3 + 6x4 + 13x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_b)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_b)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)4 (X_a)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)3 (X_b)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)3 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0

Is it a nice code?: No

Generator Matrix-707

a 0 0 0 a a
0 a a 0 0 0
b 0 0 0 b b
0 b b 0 0 0
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b b 0 0 0
0 b a 0 c 0
b 0 0 0 b b
b 0 c 0 a b
b b b 0 b b
b b a 0 a b
0 a a 0 0 0
0 a b 0 c 0
0 c c 0 0 0
0 c 0 0 c 0
b a a 0 b b
b a b 0 a b
b c c 0 b b
b c 0 0 a b
a 0 0 0 a a
a 0 c 0 b a
a b b 0 a a
a b a 0 b a
c 0 0 0 c c
c 0 c 0 0 c
c b b 0 c c
c b a 0 0 c
a a a 0 a a
a a b 0 b a
a c c 0 a a
a c 0 0 b a
c a a 0 c c
c a b 0 0 c
c c c 0 c c
c c 0 0 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 5x2 + 7x3 + 6x4 + 13x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_b)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_b)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)4 (X_a)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)3 (X_b)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)3 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0

Is it a nice code?: No

Generator Matrix-708

a 0 0 0 a a
0 a a 0 0 0
b 0 0 0 b b
0 b b 0 0 0
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b b 0 0 0
0 b a 0 c c
b 0 0 0 b b
b 0 c 0 a a
b b b 0 b b
b b a 0 a a
0 a a 0 0 0
0 a b 0 c c
0 c c 0 0 0
0 c 0 0 c c
b a a 0 b b
b a b 0 a a
b c c 0 b b
b c 0 0 a a
a 0 0 0 a a
a 0 c 0 b b
a b b 0 a a
a b a 0 b b
c 0 0 0 c c
c 0 c 0 0 0
c b b 0 c c
c b a 0 0 0
a a a 0 a a
a a b 0 b b
a c c 0 a a
a c 0 0 b b
c a a 0 c c
c a b 0 0 0
c c c 0 c c
c c 0 0 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 5x2 + 7x3 + 6x4 + 13x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_b)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)2 (X_b)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_c)3 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0

Is it a nice code?: No

Generator Matrix-709

a 0 0 0 a a
0 a a 0 0 0
b 0 0 0 b b
0 b b 0 0 0
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b b 0 0 0
0 b a c 0 0
b 0 0 0 b b
b 0 c c b b
b b b 0 b b
b b a c b b
0 a a 0 0 0
0 a b c 0 0
0 c c 0 0 0
0 c 0 c 0 0
b a a 0 b b
b a b c b b
b c c 0 b b
b c 0 c b b
a 0 0 0 a a
a 0 c c a a
a b b 0 a a
a b a c a a
c 0 0 0 c c
c 0 c c c c
c b b 0 c c
c b a c c c
a a a 0 a a
a a b c a a
a c c 0 a a
a c 0 c a a
c a a 0 c c
c a b c c c
c c c 0 c c
c c 0 c c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 5x2 + 5x3 + 0x4 + 15x5 + 6x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_b)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)3 (X_b)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)1 (X_b)5 + (X_a)1 (X_b)4 (X_c)1 + (X_0)4 (X_a)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)1 (X_a)2 (X_b)3 + (X_a)1 (X_b)4 (X_c)1 + (X_0)1 (X_b)3 (X_c)2 + (X_0)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)3 (X_b)2 + (X_a)4 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)1 (X_b)2 (X_c)3 + (X_a)1 (X_b)1 (X_c)4 + (X_0)1 (X_a)5 + (X_a)4 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)2 (X_c)3 + (X_a)1 (X_b)1 (X_c)4 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0

Is it a nice code?: No

Generator Matrix-710

a 0 0 0 a a
0 a a 0 0 0
b 0 0 0 b b
0 b b 0 0 0
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b b 0 0 0
0 b a c 0 c
b 0 0 0 b b
b 0 c c b a
b b b 0 b b
b b a c b a
0 a a 0 0 0
0 a b c 0 c
0 c c 0 0 0
0 c 0 c 0 c
b a a 0 b b
b a b c b a
b c c 0 b b
b c 0 c b a
a 0 0 0 a a
a 0 c c a b
a b b 0 a a
a b a c a b
c 0 0 0 c c
c 0 c c c 0
c b b 0 c c
c b a c c 0
a a a 0 a a
a a b c a b
a c c 0 a a
a c 0 c a b
c a a 0 c c
c a b c c 0
c c c 0 c c
c c 0 c c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 5x3 + 4x4 + 15x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_b)5 + (X_a)2 (X_b)3 (X_c)1 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)3 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_b)2 + (X_a)3 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)5 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0

Is it a nice code?: No

Generator Matrix-711

a 0 0 0 a a
0 a a 0 0 0
b 0 0 0 b b
0 b b 0 0 0
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b b 0 0 0
0 b a c c 0
b 0 0 0 b b
b 0 c c a b
b b b 0 b b
b b a c a b
0 a a 0 0 0
0 a b c c 0
0 c c 0 0 0
0 c 0 c c 0
b a a 0 b b
b a b c a b
b c c 0 b b
b c 0 c a b
a 0 0 0 a a
a 0 c c b a
a b b 0 a a
a b a c b a
c 0 0 0 c c
c 0 c c 0 c
c b b 0 c c
c b a c 0 c
a a a 0 a a
a a b c b a
a c c 0 a a
a c 0 c b a
c a a 0 c c
c a b c 0 c
c c c 0 c c
c c 0 c 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 5x3 + 4x4 + 15x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_b)5 + (X_a)2 (X_b)3 (X_c)1 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)3 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_b)2 + (X_a)3 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)5 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0

Is it a nice code?: No

Generator Matrix-712

a 0 0 0 a a
0 a a 0 0 0
b 0 0 0 b b
0 b b 0 0 0
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b b 0 0 0
0 b a c c c
b 0 0 0 b b
b 0 c c a a
b b b 0 b b
b b a c a a
0 a a 0 0 0
0 a b c c c
0 c c 0 0 0
0 c 0 c c c
b a a 0 b b
b a b c a a
b c c 0 b b
b c 0 c a a
a 0 0 0 a a
a 0 c c b b
a b b 0 a a
a b a c b b
c 0 0 0 c c
c 0 c c 0 0
c b b 0 c c
c b a c 0 0
a a a 0 a a
a a b c b b
a c c 0 a a
a c 0 c b b
c a a 0 c c
c a b c 0 0
c c c 0 c c
c c 0 c 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 5x3 + 4x4 + 15x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)4 (X_b)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_b)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_b)5 + (X_a)3 (X_b)2 (X_c)1 + (X_0)4 (X_a)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_a)2 (X_b)3 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)3 (X_b)2 + (X_a)2 (X_b)3 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)5 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0

Is it a nice code?: No

Generator Matrix-713

a 0 0 0 a a
0 a a 0 0 a
b 0 0 0 b b
0 b b 0 0 b
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b b 0 0 b
0 b a 0 0 b
b 0 0 0 b b
b 0 c 0 b b
b b b 0 b 0
b b a 0 b 0
0 a a 0 0 a
0 a b 0 0 a
0 c c 0 0 c
0 c 0 0 0 c
b a a 0 b c
b a b 0 b c
b c c 0 b a
b c 0 0 b a
a 0 0 0 a a
a 0 c 0 a a
a b b 0 a c
a b a 0 a c
c 0 0 0 c c
c 0 c 0 c c
c b b 0 c a
c b a 0 c a
a a a 0 a 0
a a b 0 a 0
a c c 0 a b
a c 0 0 a b
c a a 0 c b
c a b 0 c b
c c c 0 c 0
c c 0 0 c 0

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 1x2 + 9x3 + 10x4 + 10x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)3 (X_b)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)3 (X_b)3 + (X_0)2 (X_b)3 (X_c)1 + (X_0)2 (X_b)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)3 (X_a)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0

Is it a nice code?: No

Generator Matrix-714

a 0 0 0 a a
0 a a 0 0 a
b 0 0 0 b b
0 b b 0 0 b
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b b 0 0 b
0 b a 0 0 a
b 0 0 0 b b
b 0 c 0 b a
b b b 0 b 0
b b a 0 b c
0 a a 0 0 a
0 a b 0 0 b
0 c c 0 0 c
0 c 0 0 0 0
b a a 0 b c
b a b 0 b 0
b c c 0 b a
b c 0 0 b b
a 0 0 0 a a
a 0 c 0 a b
a b b 0 a c
a b a 0 a 0
c 0 0 0 c c
c 0 c 0 c 0
c b b 0 c a
c b a 0 c b
a a a 0 a 0
a a b 0 a c
a c c 0 a b
a c 0 0 a a
c a a 0 c b
c a b 0 c a
c c c 0 c 0
c c 0 0 c c

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 1x2 + 9x3 + 10x4 + 10x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)3 (X_a)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_b)3 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)3 (X_b)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0

Is it a nice code?: No

Generator Matrix-715

a 0 0 0 a a
0 a a 0 0 a
b 0 0 0 b b
0 b b 0 0 b
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b b 0 0 b
0 b a 0 c b
b 0 0 0 b b
b 0 c 0 a b
b b b 0 b 0
b b a 0 a 0
0 a a 0 0 a
0 a b 0 c a
0 c c 0 0 c
0 c 0 0 c c
b a a 0 b c
b a b 0 a c
b c c 0 b a
b c 0 0 a a
a 0 0 0 a a
a 0 c 0 b a
a b b 0 a c
a b a 0 b c
c 0 0 0 c c
c 0 c 0 0 c
c b b 0 c a
c b a 0 0 a
a a a 0 a 0
a a b 0 b 0
a c c 0 a b
a c 0 0 b b
c a a 0 c b
c a b 0 0 b
c c c 0 c 0
c c 0 0 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 2x2 + 8x3 + 13x4 + 8x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0

Is it a nice code?: No

Generator Matrix-716

a 0 0 0 a a
0 a a 0 0 a
b 0 0 0 b b
0 b b 0 0 b
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b b 0 0 b
0 b a 0 c a
b 0 0 0 b b
b 0 c 0 a a
b b b 0 b 0
b b a 0 a c
0 a a 0 0 a
0 a b 0 c b
0 c c 0 0 c
0 c 0 0 c 0
b a a 0 b c
b a b 0 a 0
b c c 0 b a
b c 0 0 a b
a 0 0 0 a a
a 0 c 0 b b
a b b 0 a c
a b a 0 b 0
c 0 0 0 c c
c 0 c 0 0 0
c b b 0 c a
c b a 0 0 b
a a a 0 a 0
a a b 0 b c
a c c 0 a b
a c 0 0 b a
c a a 0 c b
c a b 0 0 a
c c c 0 c 0
c c 0 0 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 2x2 + 8x3 + 13x4 + 8x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0

Is it a nice code?: No

Generator Matrix-717

a 0 0 0 a a
0 a a 0 0 a
b 0 0 0 b b
0 b b 0 0 b
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b b 0 0 b
0 b a c 0 b
b 0 0 0 b b
b 0 c c b b
b b b 0 b 0
b b a c b 0
0 a a 0 0 a
0 a b c 0 a
0 c c 0 0 c
0 c 0 c 0 c
b a a 0 b c
b a b c b c
b c c 0 b a
b c 0 c b a
a 0 0 0 a a
a 0 c c a a
a b b 0 a c
a b a c a c
c 0 0 0 c c
c 0 c c c c
c b b 0 c a
c b a c c a
a a a 0 a 0
a a b c a 0
a c c 0 a b
a c 0 c a b
c a a 0 c b
c a b c c b
c c c 0 c 0
c c 0 c c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 7x3 + 6x4 + 13x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_b)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0

Is it a nice code?: No

Generator Matrix-718

a 0 0 0 a a
0 a a 0 0 a
b 0 0 0 b b
0 b b 0 0 b
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b b 0 0 b
0 b a c 0 a
b 0 0 0 b b
b 0 c c b a
b b b 0 b 0
b b a c b c
0 a a 0 0 a
0 a b c 0 b
0 c c 0 0 c
0 c 0 c 0 0
b a a 0 b c
b a b c b 0
b c c 0 b a
b c 0 c b b
a 0 0 0 a a
a 0 c c a b
a b b 0 a c
a b a c a 0
c 0 0 0 c c
c 0 c c c 0
c b b 0 c a
c b a c c b
a a a 0 a 0
a a b c a c
a c c 0 a b
a c 0 c a a
c a a 0 c b
c a b c c a
c c c 0 c 0
c c 0 c c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 7x3 + 6x4 + 13x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_b)4 + (X_a)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)4 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0

Is it a nice code?: No

Generator Matrix-719

a 0 0 0 a a
0 a a 0 0 a
b 0 0 0 b b
0 b b 0 0 b
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b b 0 0 b
0 b a c c b
b 0 0 0 b b
b 0 c c a b
b b b 0 b 0
b b a c a 0
0 a a 0 0 a
0 a b c c a
0 c c 0 0 c
0 c 0 c c c
b a a 0 b c
b a b c a c
b c c 0 b a
b c 0 c a a
a 0 0 0 a a
a 0 c c b a
a b b 0 a c
a b a c b c
c 0 0 0 c c
c 0 c c 0 c
c b b 0 c a
c b a c 0 a
a a a 0 a 0
a a b c b 0
a c c 0 a b
a c 0 c b b
c a a 0 c b
c a b c 0 b
c c c 0 c 0
c c 0 c 0 0

dmin: 3
Weight Enumerator: 1x0 + 0x1 + 0x2 + 8x3 + 5x4 + 16x5 + 2x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0

Is it a nice code?: No

Generator Matrix-720

a 0 0 0 a a
0 a a 0 0 a
b 0 0 0 b b
0 b b 0 0 b
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b b 0 0 b
0 b a c c a
b 0 0 0 b b
b 0 c c a a
b b b 0 b 0
b b a c a c
0 a a 0 0 a
0 a b c c b
0 c c 0 0 c
0 c 0 c c 0
b a a 0 b c
b a b c a 0
b c c 0 b a
b c 0 c a b
a 0 0 0 a a
a 0 c c b b
a b b 0 a c
a b a c b 0
c 0 0 0 c c
c 0 c c 0 0
c b b 0 c a
c b a c 0 b
a a a 0 a 0
a a b c b c
a c c 0 a b
a c 0 c b a
c a a 0 c b
c a b c 0 a
c c c 0 c 0
c c 0 c 0 c

dmin: 3
Weight Enumerator: 1x0 + 0x1 + 0x2 + 8x3 + 5x4 + 16x5 + 2x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)3 (X_b)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_b)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_b)4 + (X_a)2 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0

Is it a nice code?: No

Generator Matrix-721

a 0 0 0 a a
0 a a 0 a 0
b 0 0 0 b b
0 b b 0 b 0
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b b 0 b 0
0 b a 0 b 0
b 0 0 0 b b
b 0 c 0 b b
b b b 0 0 b
b b a 0 0 b
0 a a 0 a 0
0 a b 0 a 0
0 c c 0 c 0
0 c 0 0 c 0
b a a 0 c b
b a b 0 c b
b c c 0 a b
b c 0 0 a b
a 0 0 0 a a
a 0 c 0 a a
a b b 0 c a
a b a 0 c a
c 0 0 0 c c
c 0 c 0 c c
c b b 0 a c
c b a 0 a c
a a a 0 0 a
a a b 0 0 a
a c c 0 b a
a c 0 0 b a
c a a 0 b c
c a b 0 b c
c c c 0 0 c
c c 0 0 0 c

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 1x2 + 9x3 + 10x4 + 10x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)3 (X_b)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)3 (X_b)3 + (X_0)2 (X_b)3 (X_c)1 + (X_0)2 (X_b)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)3 (X_a)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0

Is it a nice code?: No

Generator Matrix-722

a 0 0 0 a a
0 a a 0 a 0
b 0 0 0 b b
0 b b 0 b 0
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b b 0 b 0
0 b a 0 b c
b 0 0 0 b b
b 0 c 0 b a
b b b 0 0 b
b b a 0 0 a
0 a a 0 a 0
0 a b 0 a c
0 c c 0 c 0
0 c 0 0 c c
b a a 0 c b
b a b 0 c a
b c c 0 a b
b c 0 0 a a
a 0 0 0 a a
a 0 c 0 a b
a b b 0 c a
a b a 0 c b
c 0 0 0 c c
c 0 c 0 c 0
c b b 0 a c
c b a 0 a 0
a a a 0 0 a
a a b 0 0 b
a c c 0 b a
a c 0 0 b b
c a a 0 b c
c a b 0 b 0
c c c 0 0 c
c c 0 0 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 2x2 + 8x3 + 13x4 + 8x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0

Is it a nice code?: No

Generator Matrix-723

a 0 0 0 a a
0 a a 0 a 0
b 0 0 0 b b
0 b b 0 b 0
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b b 0 b 0
0 b a 0 a 0
b 0 0 0 b b
b 0 c 0 a b
b b b 0 0 b
b b a 0 c b
0 a a 0 a 0
0 a b 0 b 0
0 c c 0 c 0
0 c 0 0 0 0
b a a 0 c b
b a b 0 0 b
b c c 0 a b
b c 0 0 b b
a 0 0 0 a a
a 0 c 0 b a
a b b 0 c a
a b a 0 0 a
c 0 0 0 c c
c 0 c 0 0 c
c b b 0 a c
c b a 0 b c
a a a 0 0 a
a a b 0 c a
a c c 0 b a
a c 0 0 a a
c a a 0 b c
c a b 0 a c
c c c 0 0 c
c c 0 0 c c

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 1x2 + 9x3 + 10x4 + 10x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)3 (X_a)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_b)3 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)3 (X_b)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0

Is it a nice code?: No

Generator Matrix-724

a 0 0 0 a a
0 a a 0 a 0
b 0 0 0 b b
0 b b 0 b 0
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b b 0 b 0
0 b a 0 a c
b 0 0 0 b b
b 0 c 0 a a
b b b 0 0 b
b b a 0 c a
0 a a 0 a 0
0 a b 0 b c
0 c c 0 c 0
0 c 0 0 0 c
b a a 0 c b
b a b 0 0 a
b c c 0 a b
b c 0 0 b a
a 0 0 0 a a
a 0 c 0 b b
a b b 0 c a
a b a 0 0 b
c 0 0 0 c c
c 0 c 0 0 0
c b b 0 a c
c b a 0 b 0
a a a 0 0 a
a a b 0 c b
a c c 0 b a
a c 0 0 a b
c a a 0 b c
c a b 0 a 0
c c c 0 0 c
c c 0 0 c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 2x2 + 8x3 + 13x4 + 8x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0

Is it a nice code?: No

Generator Matrix-725

a 0 0 0 a a
0 a a 0 a 0
b 0 0 0 b b
0 b b 0 b 0
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b b 0 b 0
0 b a c b 0
b 0 0 0 b b
b 0 c c b b
b b b 0 0 b
b b a c 0 b
0 a a 0 a 0
0 a b c a 0
0 c c 0 c 0
0 c 0 c c 0
b a a 0 c b
b a b c c b
b c c 0 a b
b c 0 c a b
a 0 0 0 a a
a 0 c c a a
a b b 0 c a
a b a c c a
c 0 0 0 c c
c 0 c c c c
c b b 0 a c
c b a c a c
a a a 0 0 a
a a b c 0 a
a c c 0 b a
a c 0 c b a
c a a 0 b c
c a b c b c
c c c 0 0 c
c c 0 c 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 7x3 + 6x4 + 13x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_b)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0

Is it a nice code?: No

Generator Matrix-726

a 0 0 0 a a
0 a a 0 a 0
b 0 0 0 b b
0 b b 0 b 0
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b b 0 b 0
0 b a c b c
b 0 0 0 b b
b 0 c c b a
b b b 0 0 b
b b a c 0 a
0 a a 0 a 0
0 a b c a c
0 c c 0 c 0
0 c 0 c c c
b a a 0 c b
b a b c c a
b c c 0 a b
b c 0 c a a
a 0 0 0 a a
a 0 c c a b
a b b 0 c a
a b a c c b
c 0 0 0 c c
c 0 c c c 0
c b b 0 a c
c b a c a 0
a a a 0 0 a
a a b c 0 b
a c c 0 b a
a c 0 c b b
c a a 0 b c
c a b c b 0
c c c 0 0 c
c c 0 c 0 0

dmin: 3
Weight Enumerator: 1x0 + 0x1 + 0x2 + 8x3 + 5x4 + 16x5 + 2x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0

Is it a nice code?: No

Generator Matrix-727

a 0 0 0 a a
0 a a 0 a 0
b 0 0 0 b b
0 b b 0 b 0
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b b 0 b 0
0 b a c a 0
b 0 0 0 b b
b 0 c c a b
b b b 0 0 b
b b a c c b
0 a a 0 a 0
0 a b c b 0
0 c c 0 c 0
0 c 0 c 0 0
b a a 0 c b
b a b c 0 b
b c c 0 a b
b c 0 c b b
a 0 0 0 a a
a 0 c c b a
a b b 0 c a
a b a c 0 a
c 0 0 0 c c
c 0 c c 0 c
c b b 0 a c
c b a c b c
a a a 0 0 a
a a b c c a
a c c 0 b a
a c 0 c a a
c a a 0 b c
c a b c a c
c c c 0 0 c
c c 0 c c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 7x3 + 6x4 + 13x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_b)4 + (X_a)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)4 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0

Is it a nice code?: No

Generator Matrix-728

a 0 0 0 a a
0 a a 0 a 0
b 0 0 0 b b
0 b b 0 b 0
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b b 0 b 0
0 b a c a c
b 0 0 0 b b
b 0 c c a a
b b b 0 0 b
b b a c c a
0 a a 0 a 0
0 a b c b c
0 c c 0 c 0
0 c 0 c 0 c
b a a 0 c b
b a b c 0 a
b c c 0 a b
b c 0 c b a
a 0 0 0 a a
a 0 c c b b
a b b 0 c a
a b a c 0 b
c 0 0 0 c c
c 0 c c 0 0
c b b 0 a c
c b a c b 0
a a a 0 0 a
a a b c c b
a c c 0 b a
a c 0 c a b
c a a 0 b c
c a b c a 0
c c c 0 0 c
c c 0 c c 0

dmin: 3
Weight Enumerator: 1x0 + 0x1 + 0x2 + 8x3 + 5x4 + 16x5 + 2x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)3 (X_b)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_b)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_b)4 + (X_a)2 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0

Is it a nice code?: No

Generator Matrix-729

a 0 0 0 a a
0 a a 0 a a
b 0 0 0 b b
0 b b 0 b b
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b b 0 b b
0 b a 0 b b
b 0 0 0 b b
b 0 c 0 b b
b b b 0 0 0
b b a 0 0 0
0 a a 0 a a
0 a b 0 a a
0 c c 0 c c
0 c 0 0 c c
b a a 0 c c
b a b 0 c c
b c c 0 a a
b c 0 0 a a
a 0 0 0 a a
a 0 c 0 a a
a b b 0 c c
a b a 0 c c
c 0 0 0 c c
c 0 c 0 c c
c b b 0 a a
c b a 0 a a
a a a 0 0 0
a a b 0 0 0
a c c 0 b b
a c 0 0 b b
c a a 0 b b
c a b 0 b b
c c c 0 0 0
c c 0 0 0 0

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 1x2 + 9x3 + 10x4 + 10x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)2 (X_b)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)3 (X_b)3 + (X_0)2 (X_b)3 (X_c)1 + (X_0)3 (X_b)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)2 (X_a)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)3 (X_a)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0

Is it a nice code?: No

Generator Matrix-730

a 0 0 0 a a
0 a a 0 a a
b 0 0 0 b b
0 b b 0 b b
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b b 0 b b
0 b a 0 b a
b 0 0 0 b b
b 0 c 0 b a
b b b 0 0 0
b b a 0 0 c
0 a a 0 a a
0 a b 0 a b
0 c c 0 c c
0 c 0 0 c 0
b a a 0 c c
b a b 0 c 0
b c c 0 a a
b c 0 0 a b
a 0 0 0 a a
a 0 c 0 a b
a b b 0 c c
a b a 0 c 0
c 0 0 0 c c
c 0 c 0 c 0
c b b 0 a a
c b a 0 a b
a a a 0 0 0
a a b 0 0 c
a c c 0 b b
a c 0 0 b a
c a a 0 b b
c a b 0 b a
c c c 0 0 0
c c 0 0 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 2x2 + 8x3 + 13x4 + 8x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0

Is it a nice code?: No

Generator Matrix-731

a 0 0 0 a a
0 a a 0 a a
b 0 0 0 b b
0 b b 0 b b
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b b 0 b b
0 b a 0 a b
b 0 0 0 b b
b 0 c 0 a b
b b b 0 0 0
b b a 0 c 0
0 a a 0 a a
0 a b 0 b a
0 c c 0 c c
0 c 0 0 0 c
b a a 0 c c
b a b 0 0 c
b c c 0 a a
b c 0 0 b a
a 0 0 0 a a
a 0 c 0 b a
a b b 0 c c
a b a 0 0 c
c 0 0 0 c c
c 0 c 0 0 c
c b b 0 a a
c b a 0 b a
a a a 0 0 0
a a b 0 c 0
a c c 0 b b
a c 0 0 a b
c a a 0 b b
c a b 0 a b
c c c 0 0 0
c c 0 0 c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 2x2 + 8x3 + 13x4 + 8x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0

Is it a nice code?: No

Generator Matrix-732

a 0 0 0 a a
0 a a 0 a a
b 0 0 0 b b
0 b b 0 b b
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b b 0 b b
0 b a 0 a a
b 0 0 0 b b
b 0 c 0 a a
b b b 0 0 0
b b a 0 c c
0 a a 0 a a
0 a b 0 b b
0 c c 0 c c
0 c 0 0 0 0
b a a 0 c c
b a b 0 0 0
b c c 0 a a
b c 0 0 b b
a 0 0 0 a a
a 0 c 0 b b
a b b 0 c c
a b a 0 0 0
c 0 0 0 c c
c 0 c 0 0 0
c b b 0 a a
c b a 0 b b
a a a 0 0 0
a a b 0 c c
a c c 0 b b
a c 0 0 a a
c a a 0 b b
c a b 0 a a
c c c 0 0 0
c c 0 0 c c

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 1x2 + 9x3 + 10x4 + 10x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)2 (X_b)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)1 (X_b)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_b)3 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)2 (X_b)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0

Is it a nice code?: No

Generator Matrix-733

a 0 0 0 a a
0 a a 0 a a
b 0 0 0 b b
0 b b 0 b b
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b b 0 b b
0 b a c b b
b 0 0 0 b b
b 0 c c b b
b b b 0 0 0
b b a c 0 0
0 a a 0 a a
0 a b c a a
0 c c 0 c c
0 c 0 c c c
b a a 0 c c
b a b c c c
b c c 0 a a
b c 0 c a a
a 0 0 0 a a
a 0 c c a a
a b b 0 c c
a b a c c c
c 0 0 0 c c
c 0 c c c c
c b b 0 a a
c b a c a a
a a a 0 0 0
a a b c 0 0
a c c 0 b b
a c 0 c b b
c a a 0 b b
c a b c b b
c c c 0 0 0
c c 0 c 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 7x3 + 6x4 + 13x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)3 (X_b)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0

Is it a nice code?: No

Generator Matrix-734

a 0 0 0 a a
0 a a 0 a a
b 0 0 0 b b
0 b b 0 b b
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b b 0 b b
0 b a c b a
b 0 0 0 b b
b 0 c c b a
b b b 0 0 0
b b a c 0 c
0 a a 0 a a
0 a b c a b
0 c c 0 c c
0 c 0 c c 0
b a a 0 c c
b a b c c 0
b c c 0 a a
b c 0 c a b
a 0 0 0 a a
a 0 c c a b
a b b 0 c c
a b a c c 0
c 0 0 0 c c
c 0 c c c 0
c b b 0 a a
c b a c a b
a a a 0 0 0
a a b c 0 c
a c c 0 b b
a c 0 c b a
c a a 0 b b
c a b c b a
c c c 0 0 0
c c 0 c 0 c

dmin: 3
Weight Enumerator: 1x0 + 0x1 + 0x2 + 8x3 + 5x4 + 16x5 + 2x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0

Is it a nice code?: No

Generator Matrix-735

a 0 0 0 a a
0 a a 0 a a
b 0 0 0 b b
0 b b 0 b b
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b b 0 b b
0 b a c a b
b 0 0 0 b b
b 0 c c a b
b b b 0 0 0
b b a c c 0
0 a a 0 a a
0 a b c b a
0 c c 0 c c
0 c 0 c 0 c
b a a 0 c c
b a b c 0 c
b c c 0 a a
b c 0 c b a
a 0 0 0 a a
a 0 c c b a
a b b 0 c c
a b a c 0 c
c 0 0 0 c c
c 0 c c 0 c
c b b 0 a a
c b a c b a
a a a 0 0 0
a a b c c 0
a c c 0 b b
a c 0 c a b
c a a 0 b b
c a b c a b
c c c 0 0 0
c c 0 c c 0

dmin: 3
Weight Enumerator: 1x0 + 0x1 + 0x2 + 8x3 + 5x4 + 16x5 + 2x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0

Is it a nice code?: No

Generator Matrix-736

a 0 0 0 a a
0 a a 0 a a
b 0 0 0 b b
0 b b 0 b b
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b b 0 b b
0 b a c a a
b 0 0 0 b b
b 0 c c a a
b b b 0 0 0
b b a c c c
0 a a 0 a a
0 a b c b b
0 c c 0 c c
0 c 0 c 0 0
b a a 0 c c
b a b c 0 0
b c c 0 a a
b c 0 c b b
a 0 0 0 a a
a 0 c c b b
a b b 0 c c
a b a c 0 0
c 0 0 0 c c
c 0 c c 0 0
c b b 0 a a
c b a c b b
a a a 0 0 0
a a b c c c
a c c 0 b b
a c 0 c a a
c a a 0 b b
c a b c a a
c c c 0 0 0
c c 0 c c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 7x3 + 6x4 + 13x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)2 (X_b)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)3 (X_b)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_b)3 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0

Is it a nice code?: No

Generator Matrix-737

a 0 0 0 a a
0 a a a 0 0
b 0 0 0 b b
0 b b b 0 0
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b b b 0 0
0 b a b 0 0
b 0 0 0 b b
b 0 c 0 b b
b b b b b b
b b a b b b
0 a a a 0 0
0 a b a 0 0
0 c c c 0 0
0 c 0 c 0 0
b a a a b b
b a b a b b
b c c c b b
b c 0 c b b
a 0 0 0 a a
a 0 c 0 a a
a b b b a a
a b a b a a
c 0 0 0 c c
c 0 c 0 c c
c b b b c c
c b a b c c
a a a a a a
a a b a a a
a c c c a a
a c 0 c a a
c a a a c c
c a b a c c
c c c c c c
c c 0 c c c

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 1x2 + 8x3 + 3x4 + 3x5 + 15x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)3 (X_b)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)3 (X_b)3 + (X_0)2 (X_b)3 (X_c)1 + (X_b)6 + (X_a)1 (X_b)5 + (X_0)3 (X_a)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_a)3 (X_b)3 + (X_a)2 (X_b)4 + (X_b)3 (X_c)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)3 (X_c)1 + (X_a)3 (X_b)3 + (X_a)4 (X_b)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_b)3 (X_c)3 + (X_a)1 (X_b)2 (X_c)3 + (X_a)6 + (X_a)5 (X_b)1 + (X_a)3 (X_c)3 + (X_0)1 (X_a)3 (X_c)2 + (X_a)3 (X_c)3 + (X_a)2 (X_b)1 (X_c)3 + (X_c)6 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-738

a 0 0 0 a a
0 a a a 0 0
b 0 0 0 b b
0 b b b 0 0
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b b b 0 0
0 b a b 0 c
b 0 0 0 b b
b 0 c 0 b a
b b b b b b
b b a b b a
0 a a a 0 0
0 a b a 0 c
0 c c c 0 0
0 c 0 c 0 c
b a a a b b
b a b a b a
b c c c b b
b c 0 c b a
a 0 0 0 a a
a 0 c 0 a b
a b b b a a
a b a b a b
c 0 0 0 c c
c 0 c 0 c 0
c b b b c c
c b a b c 0
a a a a a a
a a b a a b
a c c c a a
a c 0 c a b
c a a a c c
c a b a c 0
c c c c c c
c c 0 c c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 8x3 + 5x4 + 4x5 + 13x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_b)6 + (X_a)2 (X_b)4 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_a)3 (X_b)3 + (X_a)3 (X_b)3 + (X_b)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)3 (X_b)3 + (X_a)3 (X_b)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_b)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)6 + (X_a)4 (X_b)2 + (X_a)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_c)6 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-739

a 0 0 0 a a
0 a a a 0 0
b 0 0 0 b b
0 b b b 0 0
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b b b 0 0
0 b a b c 0
b 0 0 0 b b
b 0 c 0 a b
b b b b b b
b b a b a b
0 a a a 0 0
0 a b a c 0
0 c c c 0 0
0 c 0 c c 0
b a a a b b
b a b a a b
b c c c b b
b c 0 c a b
a 0 0 0 a a
a 0 c 0 b a
a b b b a a
a b a b b a
c 0 0 0 c c
c 0 c 0 0 c
c b b b c c
c b a b 0 c
a a a a a a
a a b a b a
a c c c a a
a c 0 c b a
c a a a c c
c a b a 0 c
c c c c c c
c c 0 c 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 8x3 + 5x4 + 4x5 + 13x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_b)6 + (X_a)2 (X_b)4 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_a)3 (X_b)3 + (X_a)3 (X_b)3 + (X_b)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)3 (X_b)3 + (X_a)3 (X_b)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_b)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)6 + (X_a)4 (X_b)2 + (X_a)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_c)6 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-740

a 0 0 0 a a
0 a a a 0 0
b 0 0 0 b b
0 b b b 0 0
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b b b 0 0
0 b a b c c
b 0 0 0 b b
b 0 c 0 a a
b b b b b b
b b a b a a
0 a a a 0 0
0 a b a c c
0 c c c 0 0
0 c 0 c c c
b a a a b b
b a b a a a
b c c c b b
b c 0 c a a
a 0 0 0 a a
a 0 c 0 b b
a b b b a a
a b a b b b
c 0 0 0 c c
c 0 c 0 0 0
c b b b c c
c b a b 0 0
a a a a a a
a a b a b b
a c c c a a
a c 0 c b b
c a a a c c
c a b a 0 0
c c c c c c
c c 0 c 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 8x3 + 5x4 + 4x5 + 13x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_b)6 + (X_a)3 (X_b)3 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_a)3 (X_b)3 + (X_a)4 (X_b)2 + (X_b)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)3 (X_b)3 + (X_a)2 (X_b)4 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_b)3 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)6 + (X_a)3 (X_b)3 + (X_a)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)3 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_c)6 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-741

a 0 0 0 a a
0 a a a 0 0
b 0 0 0 b b
0 b b b 0 0
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b b b 0 0
0 b a a 0 0
b 0 0 0 b b
b 0 c c b b
b b b b b b
b b a a b b
0 a a a 0 0
0 a b b 0 0
0 c c c 0 0
0 c 0 0 0 0
b a a a b b
b a b b b b
b c c c b b
b c 0 0 b b
a 0 0 0 a a
a 0 c c a a
a b b b a a
a b a a a a
c 0 0 0 c c
c 0 c c c c
c b b b c c
c b a a c c
a a a a a a
a a b b a a
a c c c a a
a c 0 0 a a
c a a a c c
c a b b c c
c c c c c c
c c 0 0 c c

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 1x2 + 8x3 + 3x4 + 3x5 + 15x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)3 (X_b)3 + (X_0)1 (X_b)3 (X_c)2 + (X_b)6 + (X_a)2 (X_b)4 + (X_0)3 (X_a)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_a)3 (X_b)3 + (X_a)1 (X_b)5 + (X_b)3 (X_c)3 + (X_0)2 (X_b)3 (X_c)1 + (X_0)3 (X_a)3 + (X_0)1 (X_a)3 (X_c)2 + (X_a)3 (X_b)3 + (X_a)5 (X_b)1 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_b)3 (X_c)3 + (X_a)2 (X_b)1 (X_c)3 + (X_a)6 + (X_a)4 (X_b)2 + (X_a)3 (X_c)3 + (X_0)2 (X_a)3 (X_c)1 + (X_a)3 (X_c)3 + (X_a)1 (X_b)2 (X_c)3 + (X_c)6 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-742

a 0 0 0 a a
0 a a a 0 0
b 0 0 0 b b
0 b b b 0 0
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b b b 0 0
0 b a a 0 c
b 0 0 0 b b
b 0 c c b a
b b b b b b
b b a a b a
0 a a a 0 0
0 a b b 0 c
0 c c c 0 0
0 c 0 0 0 c
b a a a b b
b a b b b a
b c c c b b
b c 0 0 b a
a 0 0 0 a a
a 0 c c a b
a b b b a a
a b a a a b
c 0 0 0 c c
c 0 c c c 0
c b b b c c
c b a a c 0
a a a a a a
a a b b a b
a c c c a a
a c 0 0 a b
c a a a c c
c a b b c 0
c c c c c c
c c 0 0 c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 8x3 + 5x4 + 4x5 + 13x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_b)6 + (X_a)3 (X_b)3 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_a)3 (X_b)3 + (X_a)2 (X_b)4 + (X_b)3 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)3 (X_b)3 + (X_a)4 (X_b)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_b)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)6 + (X_a)3 (X_b)3 + (X_a)3 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_c)6 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-743

a 0 0 0 a a
0 a a a 0 0
b 0 0 0 b b
0 b b b 0 0
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b b b 0 0
0 b a a c 0
b 0 0 0 b b
b 0 c c a b
b b b b b b
b b a a a b
0 a a a 0 0
0 a b b c 0
0 c c c 0 0
0 c 0 0 c 0
b a a a b b
b a b b a b
b c c c b b
b c 0 0 a b
a 0 0 0 a a
a 0 c c b a
a b b b a a
a b a a b a
c 0 0 0 c c
c 0 c c 0 c
c b b b c c
c b a a 0 c
a a a a a a
a a b b b a
a c c c a a
a c 0 0 b a
c a a a c c
c a b b 0 c
c c c c c c
c c 0 0 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 8x3 + 5x4 + 4x5 + 13x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_b)6 + (X_a)3 (X_b)3 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_a)3 (X_b)3 + (X_a)2 (X_b)4 + (X_b)3 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)3 (X_b)3 + (X_a)4 (X_b)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_b)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)6 + (X_a)3 (X_b)3 + (X_a)3 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_c)6 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-744

a 0 0 0 a a
0 a a a 0 0
b 0 0 0 b b
0 b b b 0 0
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b b b 0 0
0 b a a c c
b 0 0 0 b b
b 0 c c a a
b b b b b b
b b a a a a
0 a a a 0 0
0 a b b c c
0 c c c 0 0
0 c 0 0 c c
b a a a b b
b a b b a a
b c c c b b
b c 0 0 a a
a 0 0 0 a a
a 0 c c b b
a b b b a a
a b a a b b
c 0 0 0 c c
c 0 c c 0 0
c b b b c c
c b a a 0 0
a a a a a a
a a b b b b
a c c c a a
a c 0 0 b b
c a a a c c
c a b b 0 0
c c c c c c
c c 0 0 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 8x3 + 5x4 + 4x5 + 13x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)3 (X_b)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_b)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_b)6 + (X_a)4 (X_b)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_a)3 (X_b)3 + (X_a)3 (X_b)3 + (X_b)3 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_a)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)3 (X_b)3 + (X_a)3 (X_b)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_b)3 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)6 + (X_a)2 (X_b)4 + (X_a)3 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)3 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_c)6 + (X_0)4 (X_c)2

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-745

a 0 0 0 a a
0 a a a 0 a
b 0 0 0 b b
0 b b b 0 b
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b b b 0 b
0 b a b 0 b
b 0 0 0 b b
b 0 c 0 b b
b b b b b 0
b b a b b 0
0 a a a 0 a
0 a b a 0 a
0 c c c 0 c
0 c 0 c 0 c
b a a a b c
b a b a b c
b c c c b a
b c 0 c b a
a 0 0 0 a a
a 0 c 0 a a
a b b b a c
a b a b a c
c 0 0 0 c c
c 0 c 0 c c
c b b b c a
c b a b c a
a a a a a 0
a a b a a 0
a c c c a b
a c 0 c a b
c a a a c b
c a b a c b
c c c c c 0
c c 0 c c 0

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 0x2 + 4x3 + 9x4 + 7x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)2 (X_b)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)3 (X_b)3 + (X_0)2 (X_b)3 (X_c)1 + (X_0)1 (X_b)5 + (X_0)1 (X_a)1 (X_b)4 + (X_0)2 (X_a)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_a)3 (X_b)2 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)3 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_a)1 (X_b)3 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)5 + (X_0)1 (X_a)4 (X_b)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-746

a 0 0 0 a a
0 a a a 0 a
b 0 0 0 b b
0 b b b 0 b
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b b b 0 b
0 b a b 0 a
b 0 0 0 b b
b 0 c 0 b a
b b b b b 0
b b a b b c
0 a a a 0 a
0 a b a 0 b
0 c c c 0 c
0 c 0 c 0 0
b a a a b c
b a b a b 0
b c c c b a
b c 0 c b b
a 0 0 0 a a
a 0 c 0 a b
a b b b a c
a b a b a 0
c 0 0 0 c c
c 0 c 0 c 0
c b b b c a
c b a b c b
a a a a a 0
a a b a a c
a c c c a b
a c 0 c a a
c a a a c b
c a b a c a
c c c c c 0
c c 0 c c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 2x2 + 4x3 + 7x4 + 8x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_b)5 + (X_a)1 (X_b)4 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_a)1 (X_b)3 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)5 + (X_a)4 (X_b)1 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)3 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-747

a 0 0 0 a a
0 a a a 0 a
b 0 0 0 b b
0 b b b 0 b
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b b b 0 b
0 b a b c b
b 0 0 0 b b
b 0 c 0 a b
b b b b b 0
b b a b a 0
0 a a a 0 a
0 a b a c a
0 c c c 0 c
0 c 0 c c c
b a a a b c
b a b a a c
b c c c b a
b c 0 c a a
a 0 0 0 a a
a 0 c 0 b a
a b b b a c
a b a b b c
c 0 0 0 c c
c 0 c 0 0 c
c b b b c a
c b a b 0 a
a a a a a 0
a a b a b 0
a c c c a b
a c 0 c b b
c a a a c b
c a b a 0 b
c c c c c 0
c c 0 c 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 5x3 + 6x4 + 11x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_b)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_a)3 (X_b)2 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)3 (X_b)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-748

a 0 0 0 a a
0 a a a 0 a
b 0 0 0 b b
0 b b b 0 b
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b b b 0 b
0 b a b c a
b 0 0 0 b b
b 0 c 0 a a
b b b b b 0
b b a b a c
0 a a a 0 a
0 a b a c b
0 c c c 0 c
0 c 0 c c 0
b a a a b c
b a b a a 0
b c c c b a
b c 0 c a b
a 0 0 0 a a
a 0 c 0 b b
a b b b a c
a b a b b 0
c 0 0 0 c c
c 0 c 0 0 0
c b b b c a
c b a b 0 b
a a a a a 0
a a b a b c
a c c c a b
a c 0 c b a
c a a a c b
c a b a 0 a
c c c c c 0
c c 0 c 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 5x3 + 6x4 + 11x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_b)5 + (X_a)2 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)5 + (X_a)3 (X_b)2 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-749

a 0 0 0 a a
0 a a a 0 a
b 0 0 0 b b
0 b b b 0 b
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b b b 0 b
0 b a a 0 b
b 0 0 0 b b
b 0 c c b b
b b b b b 0
b b a a b 0
0 a a a 0 a
0 a b b 0 a
0 c c c 0 c
0 c 0 0 0 c
b a a a b c
b a b b b c
b c c c b a
b c 0 0 b a
a 0 0 0 a a
a 0 c c a a
a b b b a c
a b a a a c
c 0 0 0 c c
c 0 c c c c
c b b b c a
c b a a c a
a a a a a 0
a a b b a 0
a c c c a b
a c 0 0 a b
c a a a c b
c a b b c b
c c c c c 0
c c 0 0 c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 2x2 + 4x3 + 7x4 + 8x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)3 (X_b)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)1 (X_b)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_a)3 (X_b)2 (X_c)1 + (X_a)1 (X_b)4 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)1 (X_a)3 (X_c)2 + (X_a)2 (X_b)3 (X_c)1 + (X_a)4 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_a)1 (X_b)3 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)5 + (X_0)1 (X_a)3 (X_b)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-750

a 0 0 0 a a
0 a a a 0 a
b 0 0 0 b b
0 b b b 0 b
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b b b 0 b
0 b a a 0 a
b 0 0 0 b b
b 0 c c b a
b b b b b 0
b b a a b c
0 a a a 0 a
0 a b b 0 b
0 c c c 0 c
0 c 0 0 0 0
b a a a b c
b a b b b 0
b c c c b a
b c 0 0 b b
a 0 0 0 a a
a 0 c c a b
a b b b a c
a b a a a 0
c 0 0 0 c c
c 0 c c c 0
c b b b c a
c b a a c b
a a a a a 0
a a b b a c
a c c c a b
a c 0 0 a a
c a a a c b
c a b b c a
c c c c c 0
c c 0 0 c c

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 0x2 + 4x3 + 9x4 + 7x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)2 (X_b)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_b)5 + (X_a)2 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)4 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_b)3 (X_c)1 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)4 (X_b)1 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_a)1 (X_b)3 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)5 + (X_a)3 (X_b)2 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)3 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-751

a 0 0 0 a a
0 a a a 0 a
b 0 0 0 b b
0 b b b 0 b
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b b b 0 b
0 b a a c b
b 0 0 0 b b
b 0 c c a b
b b b b b 0
b b a a a 0
0 a a a 0 a
0 a b b c a
0 c c c 0 c
0 c 0 0 c c
b a a a b c
b a b b a c
b c c c b a
b c 0 0 a a
a 0 0 0 a a
a 0 c c b a
a b b b a c
a b a a b c
c 0 0 0 c c
c 0 c c 0 c
c b b b c a
c b a a 0 a
a a a a a 0
a a b b b 0
a c c c a b
a c 0 0 b b
c a a a c b
c a b b 0 b
c c c c c 0
c c 0 0 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 5x3 + 6x4 + 11x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_b)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_a)3 (X_b)2 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)2 (X_b)3 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)2 (X_b)3 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-752

a 0 0 0 a a
0 a a a 0 a
b 0 0 0 b b
0 b b b 0 b
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b b b 0 b
0 b a a c a
b 0 0 0 b b
b 0 c c a a
b b b b b 0
b b a a a c
0 a a a 0 a
0 a b b c b
0 c c c 0 c
0 c 0 0 c 0
b a a a b c
b a b b a 0
b c c c b a
b c 0 0 a b
a 0 0 0 a a
a 0 c c b b
a b b b a c
a b a a b 0
c 0 0 0 c c
c 0 c c 0 0
c b b b c a
c b a a 0 b
a a a a a 0
a a b b b c
a c c c a b
a c 0 0 b a
c a a a c b
c a b b 0 a
c c c c c 0
c c 0 0 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 5x3 + 6x4 + 11x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)2 (X_b)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)3 (X_b)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_b)5 + (X_a)3 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)5 + (X_a)2 (X_b)3 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-753

a 0 0 0 a a
0 a a a a 0
b 0 0 0 b b
0 b b b b 0
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b b b b 0
0 b a b b 0
b 0 0 0 b b
b 0 c 0 b b
b b b b 0 b
b b a b 0 b
0 a a a a 0
0 a b a a 0
0 c c c c 0
0 c 0 c c 0
b a a a c b
b a b a c b
b c c c a b
b c 0 c a b
a 0 0 0 a a
a 0 c 0 a a
a b b b c a
a b a b c a
c 0 0 0 c c
c 0 c 0 c c
c b b b a c
c b a b a c
a a a a 0 a
a a b a 0 a
a c c c b a
a c 0 c b a
c a a a b c
c a b a b c
c c c c 0 c
c c 0 c 0 c

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 0x2 + 4x3 + 9x4 + 7x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)2 (X_b)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)3 (X_b)3 + (X_0)2 (X_b)3 (X_c)1 + (X_0)1 (X_b)5 + (X_0)1 (X_a)1 (X_b)4 + (X_0)2 (X_a)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_a)3 (X_b)2 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)3 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_a)1 (X_b)3 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)5 + (X_0)1 (X_a)4 (X_b)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-754

a 0 0 0 a a
0 a a a a 0
b 0 0 0 b b
0 b b b b 0
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b b b b 0
0 b a b b c
b 0 0 0 b b
b 0 c 0 b a
b b b b 0 b
b b a b 0 a
0 a a a a 0
0 a b a a c
0 c c c c 0
0 c 0 c c c
b a a a c b
b a b a c a
b c c c a b
b c 0 c a a
a 0 0 0 a a
a 0 c 0 a b
a b b b c a
a b a b c b
c 0 0 0 c c
c 0 c 0 c 0
c b b b a c
c b a b a 0
a a a a 0 a
a a b a 0 b
a c c c b a
a c 0 c b b
c a a a b c
c a b a b 0
c c c c 0 c
c c 0 c 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 5x3 + 6x4 + 11x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_b)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_a)3 (X_b)2 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)3 (X_b)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-755

a 0 0 0 a a
0 a a a a 0
b 0 0 0 b b
0 b b b b 0
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b b b b 0
0 b a b a 0
b 0 0 0 b b
b 0 c 0 a b
b b b b 0 b
b b a b c b
0 a a a a 0
0 a b a b 0
0 c c c c 0
0 c 0 c 0 0
b a a a c b
b a b a 0 b
b c c c a b
b c 0 c b b
a 0 0 0 a a
a 0 c 0 b a
a b b b c a
a b a b 0 a
c 0 0 0 c c
c 0 c 0 0 c
c b b b a c
c b a b b c
a a a a 0 a
a a b a c a
a c c c b a
a c 0 c a a
c a a a b c
c a b a a c
c c c c 0 c
c c 0 c c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 2x2 + 4x3 + 7x4 + 8x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_b)5 + (X_a)1 (X_b)4 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_a)1 (X_b)3 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)5 + (X_a)4 (X_b)1 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)3 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-756

a 0 0 0 a a
0 a a a a 0
b 0 0 0 b b
0 b b b b 0
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b b b b 0
0 b a b a c
b 0 0 0 b b
b 0 c 0 a a
b b b b 0 b
b b a b c a
0 a a a a 0
0 a b a b c
0 c c c c 0
0 c 0 c 0 c
b a a a c b
b a b a 0 a
b c c c a b
b c 0 c b a
a 0 0 0 a a
a 0 c 0 b b
a b b b c a
a b a b 0 b
c 0 0 0 c c
c 0 c 0 0 0
c b b b a c
c b a b b 0
a a a a 0 a
a a b a c b
a c c c b a
a c 0 c a b
c a a a b c
c a b a a 0
c c c c 0 c
c c 0 c c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 5x3 + 6x4 + 11x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_b)5 + (X_a)2 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)5 + (X_a)3 (X_b)2 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-757

a 0 0 0 a a
0 a a a a 0
b 0 0 0 b b
0 b b b b 0
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b b b b 0
0 b a a b 0
b 0 0 0 b b
b 0 c c b b
b b b b 0 b
b b a a 0 b
0 a a a a 0
0 a b b a 0
0 c c c c 0
0 c 0 0 c 0
b a a a c b
b a b b c b
b c c c a b
b c 0 0 a b
a 0 0 0 a a
a 0 c c a a
a b b b c a
a b a a c a
c 0 0 0 c c
c 0 c c c c
c b b b a c
c b a a a c
a a a a 0 a
a a b b 0 a
a c c c b a
a c 0 0 b a
c a a a b c
c a b b b c
c c c c 0 c
c c 0 0 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 2x2 + 4x3 + 7x4 + 8x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)3 (X_b)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)1 (X_b)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_a)3 (X_b)2 (X_c)1 + (X_a)1 (X_b)4 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)1 (X_a)3 (X_c)2 + (X_a)2 (X_b)3 (X_c)1 + (X_a)4 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_a)1 (X_b)3 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)5 + (X_0)1 (X_a)3 (X_b)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-758

a 0 0 0 a a
0 a a a a 0
b 0 0 0 b b
0 b b b b 0
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b b b b 0
0 b a a b c
b 0 0 0 b b
b 0 c c b a
b b b b 0 b
b b a a 0 a
0 a a a a 0
0 a b b a c
0 c c c c 0
0 c 0 0 c c
b a a a c b
b a b b c a
b c c c a b
b c 0 0 a a
a 0 0 0 a a
a 0 c c a b
a b b b c a
a b a a c b
c 0 0 0 c c
c 0 c c c 0
c b b b a c
c b a a a 0
a a a a 0 a
a a b b 0 b
a c c c b a
a c 0 0 b b
c a a a b c
c a b b b 0
c c c c 0 c
c c 0 0 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 5x3 + 6x4 + 11x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_b)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_a)3 (X_b)2 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)2 (X_b)3 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)2 (X_b)3 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-759

a 0 0 0 a a
0 a a a a 0
b 0 0 0 b b
0 b b b b 0
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b b b b 0
0 b a a a 0
b 0 0 0 b b
b 0 c c a b
b b b b 0 b
b b a a c b
0 a a a a 0
0 a b b b 0
0 c c c c 0
0 c 0 0 0 0
b a a a c b
b a b b 0 b
b c c c a b
b c 0 0 b b
a 0 0 0 a a
a 0 c c b a
a b b b c a
a b a a 0 a
c 0 0 0 c c
c 0 c c 0 c
c b b b a c
c b a a b c
a a a a 0 a
a a b b c a
a c c c b a
a c 0 0 a a
c a a a b c
c a b b a c
c c c c 0 c
c c 0 0 c c

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 0x2 + 4x3 + 9x4 + 7x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)2 (X_b)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_b)5 + (X_a)2 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)4 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_b)3 (X_c)1 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)4 (X_b)1 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_a)1 (X_b)3 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)5 + (X_a)3 (X_b)2 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)3 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-760

a 0 0 0 a a
0 a a a a 0
b 0 0 0 b b
0 b b b b 0
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b b b b 0
0 b a a a c
b 0 0 0 b b
b 0 c c a a
b b b b 0 b
b b a a c a
0 a a a a 0
0 a b b b c
0 c c c c 0
0 c 0 0 0 c
b a a a c b
b a b b 0 a
b c c c a b
b c 0 0 b a
a 0 0 0 a a
a 0 c c b b
a b b b c a
a b a a 0 b
c 0 0 0 c c
c 0 c c 0 0
c b b b a c
c b a a b 0
a a a a 0 a
a a b b c b
a c c c b a
a c 0 0 a b
c a a a b c
c a b b a 0
c c c c 0 c
c c 0 0 c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 5x3 + 6x4 + 11x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)2 (X_b)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)3 (X_b)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_b)5 + (X_a)3 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)5 + (X_a)2 (X_b)3 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-761

a 0 0 0 a a
0 a a a a a
b 0 0 0 b b
0 b b b b b
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b b b b b
0 b a b b b
b 0 0 0 b b
b 0 c 0 b b
b b b b 0 0
b b a b 0 0
0 a a a a a
0 a b a a a
0 c c c c c
0 c 0 c c c
b a a a c c
b a b a c c
b c c c a a
b c 0 c a a
a 0 0 0 a a
a 0 c 0 a a
a b b b c c
a b a b c c
c 0 0 0 c c
c 0 c 0 c c
c b b b a a
c b a b a a
a a a a 0 0
a a b a 0 0
a c c c b b
a c 0 c b b
c a a a b b
c a b a b b
c c c c 0 0
c c 0 c 0 0

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 0x2 + 4x3 + 9x4 + 7x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)1 (X_b)5 + (X_0)1 (X_a)1 (X_b)4 + (X_0)3 (X_b)3 + (X_0)2 (X_b)3 (X_c)1 + (X_0)2 (X_b)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)5 + (X_0)1 (X_a)4 (X_b)1 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_a)3 (X_b)1 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)3 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_a)2 (X_b)3 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)3 (X_b)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)3 (X_b)2 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-762

a 0 0 0 a a
0 a a a a a
b 0 0 0 b b
0 b b b b b
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b b b b b
0 b a b b a
b 0 0 0 b b
b 0 c 0 b a
b b b b 0 0
b b a b 0 c
0 a a a a a
0 a b a a b
0 c c c c c
0 c 0 c c 0
b a a a c c
b a b a c 0
b c c c a a
b c 0 c a b
a 0 0 0 a a
a 0 c 0 a b
a b b b c c
a b a b c 0
c 0 0 0 c c
c 0 c 0 c 0
c b b b a a
c b a b a b
a a a a 0 0
a a b a 0 c
a c c c b b
a c 0 c b a
c a a a b b
c a b a b a
c c c c 0 0
c c 0 c 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 5x3 + 6x4 + 11x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)1 (X_b)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_a)2 (X_b)3 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)3 (X_b)2 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-763

a 0 0 0 a a
0 a a a a a
b 0 0 0 b b
0 b b b b b
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b b b b b
0 b a b a b
b 0 0 0 b b
b 0 c 0 a b
b b b b 0 0
b b a b c 0
0 a a a a a
0 a b a b a
0 c c c c c
0 c 0 c 0 c
b a a a c c
b a b a 0 c
b c c c a a
b c 0 c b a
a 0 0 0 a a
a 0 c 0 b a
a b b b c c
a b a b 0 c
c 0 0 0 c c
c 0 c 0 0 c
c b b b a a
c b a b b a
a a a a 0 0
a a b a c 0
a c c c b b
a c 0 c a b
c a a a b b
c a b a a b
c c c c 0 0
c c 0 c c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 5x3 + 6x4 + 11x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)1 (X_b)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_a)2 (X_b)3 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)3 (X_b)2 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-764

a 0 0 0 a a
0 a a a a a
b 0 0 0 b b
0 b b b b b
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b b b b b
0 b a b a a
b 0 0 0 b b
b 0 c 0 a a
b b b b 0 0
b b a b c c
0 a a a a a
0 a b a b b
0 c c c c c
0 c 0 c 0 0
b a a a c c
b a b a 0 0
b c c c a a
b c 0 c b b
a 0 0 0 a a
a 0 c 0 b b
a b b b c c
a b a b 0 0
c 0 0 0 c c
c 0 c 0 0 0
c b b b a a
c b a b b b
a a a a 0 0
a a b a c c
a c c c b b
a c 0 c a a
c a a a b b
c a b a a a
c c c c 0 0
c c 0 c c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 2x2 + 4x3 + 7x4 + 8x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)1 (X_b)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_b)4 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_a)2 (X_b)3 (X_c)1 + (X_a)1 (X_b)4 (X_c)1 + (X_0)2 (X_a)4 + (X_a)3 (X_b)1 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)3 (X_c)2 + (X_a)3 (X_b)2 (X_c)1 + (X_a)4 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-765

a 0 0 0 a a
0 a a a a a
b 0 0 0 b b
0 b b b b b
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b b b b b
0 b a a b b
b 0 0 0 b b
b 0 c c b b
b b b b 0 0
b b a a 0 0
0 a a a a a
0 a b b a a
0 c c c c c
0 c 0 0 c c
b a a a c c
b a b b c c
b c c c a a
b c 0 0 a a
a 0 0 0 a a
a 0 c c a a
a b b b c c
a b a a c c
c 0 0 0 c c
c 0 c c c c
c b b b a a
c b a a a a
a a a a 0 0
a a b b 0 0
a c c c b b
a c 0 0 b b
c a a a b b
c a b b b b
c c c c 0 0
c c 0 0 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 2x2 + 4x3 + 7x4 + 8x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)1 (X_b)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)3 (X_b)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_a)3 (X_b)1 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_a)3 + (X_0)1 (X_a)3 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_a)2 (X_b)3 (X_c)1 + (X_a)4 (X_b)1 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)1 (X_b)4 (X_c)1 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-766

a 0 0 0 a a
0 a a a a a
b 0 0 0 b b
0 b b b b b
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b b b b b
0 b a a b a
b 0 0 0 b b
b 0 c c b a
b b b b 0 0
b b a a 0 c
0 a a a a a
0 a b b a b
0 c c c c c
0 c 0 0 c 0
b a a a c c
b a b b c 0
b c c c a a
b c 0 0 a b
a 0 0 0 a a
a 0 c c a b
a b b b c c
a b a a c 0
c 0 0 0 c c
c 0 c c c 0
c b b b a a
c b a a a b
a a a a 0 0
a a b b 0 c
a c c c b b
a c 0 0 b a
c a a a b b
c a b b b a
c c c c 0 0
c c 0 0 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 5x3 + 6x4 + 11x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)1 (X_b)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_a)2 (X_b)3 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-767

a 0 0 0 a a
0 a a a a a
b 0 0 0 b b
0 b b b b b
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b b b b b
0 b a a a b
b 0 0 0 b b
b 0 c c a b
b b b b 0 0
b b a a c 0
0 a a a a a
0 a b b b a
0 c c c c c
0 c 0 0 0 c
b a a a c c
b a b b 0 c
b c c c a a
b c 0 0 b a
a 0 0 0 a a
a 0 c c b a
a b b b c c
a b a a 0 c
c 0 0 0 c c
c 0 c c 0 c
c b b b a a
c b a a b a
a a a a 0 0
a a b b c 0
a c c c b b
a c 0 0 a b
c a a a b b
c a b b a b
c c c c 0 0
c c 0 0 c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 5x3 + 6x4 + 11x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)1 (X_b)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_a)2 (X_b)3 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-768

a 0 0 0 a a
0 a a a a a
b 0 0 0 b b
0 b b b b b
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b b b b b
0 b a a a a
b 0 0 0 b b
b 0 c c a a
b b b b 0 0
b b a a c c
0 a a a a a
0 a b b b b
0 c c c c c
0 c 0 0 0 0
b a a a c c
b a b b 0 0
b c c c a a
b c 0 0 b b
a 0 0 0 a a
a 0 c c b b
a b b b c c
a b a a 0 0
c 0 0 0 c c
c 0 c c 0 0
c b b b a a
c b a a b b
a a a a 0 0
a a b b c c
a c c c b b
a c 0 0 a a
c a a a b b
c a b b a a
c c c c 0 0
c c 0 0 c c

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 0x2 + 4x3 + 9x4 + 7x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)1 (X_b)5 + (X_0)1 (X_a)4 (X_b)1 + (X_0)3 (X_b)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_b)4 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)5 + (X_0)1 (X_a)1 (X_b)4 + (X_0)1 (X_c)5 + (X_0)5 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)3 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_b)3 (X_c)1 + (X_0)3 (X_a)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)3 (X_b)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_a)2 (X_b)3 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_a)2 (X_b)2 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)3 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-769

a 0 0 a 0 0
0 a a 0 0 0
b 0 0 b 0 0
0 b b 0 0 0
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b b 0 0 0
0 b a 0 0 0
b 0 0 b 0 0
b 0 c b 0 0
b b b b 0 0
b b a b 0 0
0 a a 0 0 0
0 a b 0 0 0
0 c c 0 0 0
0 c 0 0 0 0
b a a b 0 0
b a b b 0 0
b c c b 0 0
b c 0 b 0 0
a 0 0 a 0 0
a 0 c a 0 0
a b b a 0 0
a b a a 0 0
c 0 0 c 0 0
c 0 c c 0 0
c b b c 0 0
c b a c 0 0
a a a a 0 0
a a b a 0 0
a c c a 0 0
a c 0 a 0 0
c a a c 0 0
c a b c 0 0
c c c c 0 0
c c 0 c 0 0

dmin: 1
Weight Enumerator: 1x0 + 2x1 + 8x2 + 6x3 + 15x4 + 0x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)4 (X_b)2 + (X_0)4 (X_a)1 (X_b)1 + (X_0)4 (X_b)2 + (X_0)3 (X_b)2 (X_c)1 + (X_0)2 (X_b)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)4 (X_a)2 + (X_0)4 (X_a)1 (X_b)1 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_a)1 (X_b)3 + (X_0)2 (X_b)2 (X_c)2 + (X_0)3 (X_b)2 (X_c)1 + (X_0)4 (X_a)2 + (X_0)3 (X_a)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_a)3 (X_b)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)2 (X_a)2 (X_c)2 + (X_0)3 (X_a)2 (X_c)1 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c

Is it a nice code?: No

Generator Matrix-770

a 0 0 a 0 0
0 a a 0 0 0
b 0 0 b 0 0
0 b b 0 0 0
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b b 0 0 0
0 b a 0 0 c
b 0 0 b 0 0
b 0 c b 0 c
b b b b 0 0
b b a b 0 c
0 a a 0 0 0
0 a b 0 0 c
0 c c 0 0 0
0 c 0 0 0 c
b a a b 0 0
b a b b 0 c
b c c b 0 0
b c 0 b 0 c
a 0 0 a 0 0
a 0 c a 0 c
a b b a 0 0
a b a a 0 c
c 0 0 c 0 0
c 0 c c 0 c
c b b c 0 0
c b a c 0 c
a a a a 0 0
a a b a 0 c
a c c a 0 0
a c 0 a 0 c
c a a c 0 0
c a b c 0 c
c c c c 0 0
c c 0 c 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 8x2 + 2x3 + 15x4 + 6x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_b)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)4 (X_a)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c

Is it a nice code?: No

Generator Matrix-771

a 0 0 a 0 0
0 a a 0 0 0
b 0 0 b 0 0
0 b b 0 0 0
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b b 0 0 0
0 b a 0 c 0
b 0 0 b 0 0
b 0 c b c 0
b b b b 0 0
b b a b c 0
0 a a 0 0 0
0 a b 0 c 0
0 c c 0 0 0
0 c 0 0 c 0
b a a b 0 0
b a b b c 0
b c c b 0 0
b c 0 b c 0
a 0 0 a 0 0
a 0 c a c 0
a b b a 0 0
a b a a c 0
c 0 0 c 0 0
c 0 c c c 0
c b b c 0 0
c b a c c 0
a a a a 0 0
a a b a c 0
a c c a 0 0
a c 0 a c 0
c a a c 0 0
c a b c c 0
c c c c 0 0
c c 0 c c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 8x2 + 2x3 + 15x4 + 6x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_b)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)4 (X_a)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c

Is it a nice code?: No

Generator Matrix-772

a 0 0 a 0 0
0 a a 0 0 0
b 0 0 b 0 0
0 b b 0 0 0
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b b 0 0 0
0 b a 0 c c
b 0 0 b 0 0
b 0 c b c c
b b b b 0 0
b b a b c c
0 a a 0 0 0
0 a b 0 c c
0 c c 0 0 0
0 c 0 0 c c
b a a b 0 0
b a b b c c
b c c b 0 0
b c 0 b c c
a 0 0 a 0 0
a 0 c a c c
a b b a 0 0
a b a a c c
c 0 0 c 0 0
c 0 c c c c
c b b c 0 0
c b a c c c
a a a a 0 0
a a b a c c
a c c a 0 0
a c 0 a c c
c a a c 0 0
c a b c c c
c c c c 0 0
c c 0 c c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 6x2 + 2x3 + 11x4 + 6x5 + 6x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_b)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)2 (X_b)4 + (X_a)1 (X_b)3 (X_c)2 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_a)2 (X_b)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)4 (X_a)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)2 (X_a)2 (X_b)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5 + (X_0)2 (X_b)2 (X_c)2 + (X_a)1 (X_b)1 (X_c)4 + (X_0)2 (X_a)4 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)2 (X_a)2 (X_c)2 + (X_a)1 (X_b)1 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c

Is it a nice code?: No

Generator Matrix-773

a 0 0 a 0 0
0 a a 0 0 0
b 0 0 b 0 0
0 b b 0 0 0
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b b 0 0 0
0 b a c 0 0
b 0 0 b 0 0
b 0 c a 0 0
b b b b 0 0
b b a a 0 0
0 a a 0 0 0
0 a b c 0 0
0 c c 0 0 0
0 c 0 c 0 0
b a a b 0 0
b a b a 0 0
b c c b 0 0
b c 0 a 0 0
a 0 0 a 0 0
a 0 c b 0 0
a b b a 0 0
a b a b 0 0
c 0 0 c 0 0
c 0 c 0 0 0
c b b c 0 0
c b a 0 0 0
a a a a 0 0
a a b b 0 0
a c c a 0 0
a c 0 b 0 0
c a a c 0 0
c a b 0 0 0
c c c c 0 0
c c 0 0 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 10x2 + 8x3 + 13x4 + 0x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_b)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)4 (X_b)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)4 (X_a)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)4 (X_a)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_c)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c

Is it a nice code?: No

Generator Matrix-774

a 0 0 a 0 0
0 a a 0 0 0
b 0 0 b 0 0
0 b b 0 0 0
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b b 0 0 0
0 b a c 0 c
b 0 0 b 0 0
b 0 c a 0 c
b b b b 0 0
b b a a 0 c
0 a a 0 0 0
0 a b c 0 c
0 c c 0 0 0
0 c 0 c 0 c
b a a b 0 0
b a b a 0 c
b c c b 0 0
b c 0 a 0 c
a 0 0 a 0 0
a 0 c b 0 c
a b b a 0 0
a b a b 0 c
c 0 0 c 0 0
c 0 c 0 0 c
c b b c 0 0
c b a 0 0 c
a a a a 0 0
a a b b 0 c
a c c a 0 0
a c 0 b 0 c
c a a c 0 0
c a b 0 0 c
c c c c 0 0
c c 0 0 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 6x2 + 4x3 + 17x4 + 4x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c

Is it a nice code?: No

Generator Matrix-775

a 0 0 a 0 0
0 a a 0 0 0
b 0 0 b 0 0
0 b b 0 0 0
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b b 0 0 0
0 b a c c 0
b 0 0 b 0 0
b 0 c a c 0
b b b b 0 0
b b a a c 0
0 a a 0 0 0
0 a b c c 0
0 c c 0 0 0
0 c 0 c c 0
b a a b 0 0
b a b a c 0
b c c b 0 0
b c 0 a c 0
a 0 0 a 0 0
a 0 c b c 0
a b b a 0 0
a b a b c 0
c 0 0 c 0 0
c 0 c 0 c 0
c b b c 0 0
c b a 0 c 0
a a a a 0 0
a a b b c 0
a c c a 0 0
a c 0 b c 0
c a a c 0 0
c a b 0 c 0
c c c c 0 0
c c 0 0 c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 6x2 + 4x3 + 17x4 + 4x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c

Is it a nice code?: No

Generator Matrix-776

a 0 0 a 0 0
0 a a 0 0 0
b 0 0 b 0 0
0 b b 0 0 0
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b b 0 0 0
0 b a c c c
b 0 0 b 0 0
b 0 c a c c
b b b b 0 0
b b a a c c
0 a a 0 0 0
0 a b c c c
0 c c 0 0 0
0 c 0 c c c
b a a b 0 0
b a b a c c
b c c b 0 0
b c 0 a c c
a 0 0 a 0 0
a 0 c b c c
a b b a 0 0
a b a b c c
c 0 0 c 0 0
c 0 c 0 c c
c b b c 0 0
c b a 0 c c
a a a a 0 0
a a b b c c
a c c a 0 0
a c 0 b c c
c a a c 0 0
c a b 0 c c
c c c c 0 0
c c 0 0 c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 6x2 + 0x3 + 13x4 + 8x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)4 (X_b)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_b)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_b)4 + (X_a)2 (X_b)2 (X_c)2 + (X_0)4 (X_a)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_a)2 (X_b)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_a)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)2 (X_b)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)4 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c

Is it a nice code?: No

Generator Matrix-777

a 0 0 a 0 0
0 a a 0 0 a
b 0 0 b 0 0
0 b b 0 0 b
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b b 0 0 b
0 b a 0 0 b
b 0 0 b 0 0
b 0 c b 0 0
b b b b 0 b
b b a b 0 b
0 a a 0 0 a
0 a b 0 0 a
0 c c 0 0 c
0 c 0 0 0 c
b a a b 0 a
b a b b 0 a
b c c b 0 c
b c 0 b 0 c
a 0 0 a 0 0
a 0 c a 0 0
a b b a 0 b
a b a a 0 b
c 0 0 c 0 0
c 0 c c 0 0
c b b c 0 b
c b a c 0 b
a a a a 0 a
a a b a 0 a
a c c a 0 c
a c 0 a 0 c
c a a c 0 a
c a b c 0 a
c c c c 0 c
c c 0 c 0 c

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 4x2 + 8x3 + 3x4 + 15x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)3 (X_b)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)4 (X_b)2 + (X_0)3 (X_b)2 (X_c)1 + (X_0)1 (X_b)5 + (X_0)1 (X_a)1 (X_b)4 + (X_0)3 (X_a)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_b)2 (X_c)3 + (X_0)2 (X_b)2 (X_c)2 + (X_0)4 (X_a)2 + (X_0)3 (X_a)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)3 (X_b)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)5 + (X_0)1 (X_a)4 (X_b)1 + (X_0)1 (X_a)2 (X_c)3 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0

Is it a nice code?: No

Generator Matrix-778

a 0 0 a 0 0
0 a a 0 0 a
b 0 0 b 0 0
0 b b 0 0 b
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b b 0 0 b
0 b a 0 0 a
b 0 0 b 0 0
b 0 c b 0 c
b b b b 0 b
b b a b 0 a
0 a a 0 0 a
0 a b 0 0 b
0 c c 0 0 c
0 c 0 0 0 0
b a a b 0 a
b a b b 0 b
b c c b 0 c
b c 0 b 0 0
a 0 0 a 0 0
a 0 c a 0 c
a b b a 0 b
a b a a 0 a
c 0 0 c 0 0
c 0 c c 0 c
c b b c 0 b
c b a c 0 a
a a a a 0 a
a a b a 0 b
a c c a 0 c
a c 0 a 0 0
c a a c 0 a
c a b c 0 b
c c c c 0 c
c c 0 c 0 0

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 4x2 + 8x3 + 3x4 + 15x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)1 (X_b)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)3 (X_a)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)1 (X_b)4 + (X_0)1 (X_b)2 (X_c)3 + (X_0)3 (X_b)2 (X_c)1 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)4 (X_b)1 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)3 (X_a)2 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0

Is it a nice code?: No

Generator Matrix-779

a 0 0 a 0 0
0 a a 0 0 a
b 0 0 b 0 0
0 b b 0 0 b
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b b 0 0 b
0 b a 0 c b
b 0 0 b 0 0
b 0 c b c 0
b b b b 0 b
b b a b c b
0 a a 0 0 a
0 a b 0 c a
0 c c 0 0 c
0 c 0 0 c c
b a a b 0 a
b a b b c a
b c c b 0 c
b c 0 b c c
a 0 0 a 0 0
a 0 c a c 0
a b b a 0 b
a b a a c b
c 0 0 c 0 0
c 0 c c c 0
c b b c 0 b
c b a c c b
a a a a 0 a
a a b a c a
a c c a 0 c
a c 0 a c c
c a a c 0 a
c a b c c a
c c c c 0 c
c c 0 c c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 4x3 + 5x4 + 12x5 + 6x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)1 (X_b)5 + (X_a)1 (X_b)4 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)3 (X_b)2 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_b)2 (X_c)3 + (X_0)1 (X_b)2 (X_c)3 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)3 + (X_a)3 (X_b)2 (X_c)1 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_b)3 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)5 + (X_a)4 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_c)3 + (X_0)1 (X_a)2 (X_c)3 + (X_0)1 (X_a)3 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0

Is it a nice code?: No

Generator Matrix-780

a 0 0 a 0 0
0 a a 0 0 a
b 0 0 b 0 0
0 b b 0 0 b
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b b 0 0 b
0 b a 0 c a
b 0 0 b 0 0
b 0 c b c c
b b b b 0 b
b b a b c a
0 a a 0 0 a
0 a b 0 c b
0 c c 0 0 c
0 c 0 0 c 0
b a a b 0 a
b a b b c b
b c c b 0 c
b c 0 b c 0
a 0 0 a 0 0
a 0 c a c c
a b b a 0 b
a b a a c a
c 0 0 c 0 0
c 0 c c c c
c b b c 0 b
c b a c c a
a a a a 0 a
a a b a c b
a c c a 0 c
a c 0 a c 0
c a a c 0 a
c a b c c b
c c c c 0 c
c c 0 c c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 4x3 + 5x4 + 12x5 + 6x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)4 (X_b)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)1 (X_b)5 + (X_a)2 (X_b)3 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_a)3 (X_b)2 + (X_a)1 (X_b)4 (X_c)1 + (X_0)1 (X_b)2 (X_c)3 + (X_0)2 (X_b)2 (X_c)2 + (X_0)4 (X_a)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)1 (X_a)2 (X_b)3 + (X_a)4 (X_b)1 (X_c)1 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5 + (X_0)1 (X_b)3 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)5 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_c)3 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)3 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0

Is it a nice code?: No

Generator Matrix-781

a 0 0 a 0 0
0 a a 0 0 a
b 0 0 b 0 0
0 b b 0 0 b
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b b 0 0 b
0 b a c 0 b
b 0 0 b 0 0
b 0 c a 0 0
b b b b 0 b
b b a a 0 b
0 a a 0 0 a
0 a b c 0 a
0 c c 0 0 c
0 c 0 c 0 c
b a a b 0 a
b a b a 0 a
b c c b 0 c
b c 0 a 0 c
a 0 0 a 0 0
a 0 c b 0 0
a b b a 0 b
a b a b 0 b
c 0 0 c 0 0
c 0 c 0 0 0
c b b c 0 b
c b a 0 0 b
a a a a 0 a
a a b b 0 a
a c c a 0 c
a c 0 b 0 c
c a a c 0 a
c a b 0 0 a
c c c c 0 c
c c 0 0 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 5x2 + 7x3 + 6x4 + 13x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)4 (X_b)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_b)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_a)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)2 (X_b)3 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0

Is it a nice code?: No

Generator Matrix-782

a 0 0 a 0 0
0 a a 0 0 a
b 0 0 b 0 0
0 b b 0 0 b
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b b 0 0 b
0 b a c 0 a
b 0 0 b 0 0
b 0 c a 0 c
b b b b 0 b
b b a a 0 a
0 a a 0 0 a
0 a b c 0 b
0 c c 0 0 c
0 c 0 c 0 0
b a a b 0 a
b a b a 0 b
b c c b 0 c
b c 0 a 0 0
a 0 0 a 0 0
a 0 c b 0 c
a b b a 0 b
a b a b 0 a
c 0 0 c 0 0
c 0 c 0 0 c
c b b c 0 b
c b a 0 0 a
a a a a 0 a
a a b b 0 b
a c c a 0 c
a c 0 b 0 0
c a a c 0 a
c a b 0 0 b
c c c c 0 c
c c 0 0 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 5x2 + 7x3 + 6x4 + 13x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_b)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)3 (X_b)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)2 (X_c)3 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0

Is it a nice code?: No

Generator Matrix-783

a 0 0 a 0 0
0 a a 0 0 a
b 0 0 b 0 0
0 b b 0 0 b
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b b 0 0 b
0 b a c c b
b 0 0 b 0 0
b 0 c a c 0
b b b b 0 b
b b a a c b
0 a a 0 0 a
0 a b c c a
0 c c 0 0 c
0 c 0 c c c
b a a b 0 a
b a b a c a
b c c b 0 c
b c 0 a c c
a 0 0 a 0 0
a 0 c b c 0
a b b a 0 b
a b a b c b
c 0 0 c 0 0
c 0 c 0 c 0
c b b c 0 b
c b a 0 c b
a a a a 0 a
a a b b c a
a c c a 0 c
a c 0 b c c
c a a c 0 a
c a b 0 c a
c c c c 0 c
c c 0 0 c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 5x3 + 4x4 + 15x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_b)5 + (X_a)2 (X_b)3 (X_c)1 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_a)3 (X_b)2 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)3 + (X_a)2 (X_b)3 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)5 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0

Is it a nice code?: No

Generator Matrix-784

a 0 0 a 0 0
0 a a 0 0 a
b 0 0 b 0 0
0 b b 0 0 b
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b b 0 0 b
0 b a c c a
b 0 0 b 0 0
b 0 c a c c
b b b b 0 b
b b a a c a
0 a a 0 0 a
0 a b c c b
0 c c 0 0 c
0 c 0 c c 0
b a a b 0 a
b a b a c b
b c c b 0 c
b c 0 a c 0
a 0 0 a 0 0
a 0 c b c c
a b b a 0 b
a b a b c a
c 0 0 c 0 0
c 0 c 0 c c
c b b c 0 b
c b a 0 c a
a a a a 0 a
a a b b c b
a c c a 0 c
a c 0 b c 0
c a a c 0 a
c a b 0 c b
c c c c 0 c
c c 0 0 c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 5x3 + 4x4 + 15x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)3 (X_b)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)4 (X_b)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_b)5 + (X_a)3 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)3 (X_b)2 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_a)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)2 (X_b)3 + (X_a)3 (X_b)2 (X_c)1 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)5 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0

Is it a nice code?: No

Generator Matrix-785

a 0 0 a 0 0
0 a a 0 a 0
b 0 0 b 0 0
0 b b 0 b 0
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b b 0 b 0
0 b a 0 b 0
b 0 0 b 0 0
b 0 c b 0 0
b b b b b 0
b b a b b 0
0 a a 0 a 0
0 a b 0 a 0
0 c c 0 c 0
0 c 0 0 c 0
b a a b a 0
b a b b a 0
b c c b c 0
b c 0 b c 0
a 0 0 a 0 0
a 0 c a 0 0
a b b a b 0
a b a a b 0
c 0 0 c 0 0
c 0 c c 0 0
c b b c b 0
c b a c b 0
a a a a a 0
a a b a a 0
a c c a c 0
a c 0 a c 0
c a a c a 0
c a b c a 0
c c c c c 0
c c 0 c c 0

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 4x2 + 8x3 + 3x4 + 15x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)3 (X_b)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)4 (X_b)2 + (X_0)3 (X_b)2 (X_c)1 + (X_0)1 (X_b)5 + (X_0)1 (X_a)1 (X_b)4 + (X_0)3 (X_a)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_b)2 (X_c)3 + (X_0)2 (X_b)2 (X_c)2 + (X_0)4 (X_a)2 + (X_0)3 (X_a)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)3 (X_b)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)5 + (X_0)1 (X_a)4 (X_b)1 + (X_0)1 (X_a)2 (X_c)3 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c

Is it a nice code?: No

Generator Matrix-786

a 0 0 a 0 0
0 a a 0 a 0
b 0 0 b 0 0
0 b b 0 b 0
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b b 0 b 0
0 b a 0 b c
b 0 0 b 0 0
b 0 c b 0 c
b b b b b 0
b b a b b c
0 a a 0 a 0
0 a b 0 a c
0 c c 0 c 0
0 c 0 0 c c
b a a b a 0
b a b b a c
b c c b c 0
b c 0 b c c
a 0 0 a 0 0
a 0 c a 0 c
a b b a b 0
a b a a b c
c 0 0 c 0 0
c 0 c c 0 c
c b b c b 0
c b a c b c
a a a a a 0
a a b a a c
a c c a c 0
a c 0 a c c
c a a c a 0
c a b c a c
c c c c c 0
c c 0 c c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 4x3 + 5x4 + 12x5 + 6x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)1 (X_b)5 + (X_a)1 (X_b)4 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)3 (X_b)2 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_b)2 (X_c)3 + (X_0)1 (X_b)2 (X_c)3 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)3 + (X_a)3 (X_b)2 (X_c)1 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_b)3 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)5 + (X_a)4 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_c)3 + (X_0)1 (X_a)2 (X_c)3 + (X_0)1 (X_a)3 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c

Is it a nice code?: No

Generator Matrix-787

a 0 0 a 0 0
0 a a 0 a 0
b 0 0 b 0 0
0 b b 0 b 0
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b b 0 b 0
0 b a 0 a 0
b 0 0 b 0 0
b 0 c b c 0
b b b b b 0
b b a b a 0
0 a a 0 a 0
0 a b 0 b 0
0 c c 0 c 0
0 c 0 0 0 0
b a a b a 0
b a b b b 0
b c c b c 0
b c 0 b 0 0
a 0 0 a 0 0
a 0 c a c 0
a b b a b 0
a b a a a 0
c 0 0 c 0 0
c 0 c c c 0
c b b c b 0
c b a c a 0
a a a a a 0
a a b a b 0
a c c a c 0
a c 0 a 0 0
c a a c a 0
c a b c b 0
c c c c c 0
c c 0 c 0 0

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 4x2 + 8x3 + 3x4 + 15x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)1 (X_b)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)3 (X_a)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)1 (X_b)4 + (X_0)1 (X_b)2 (X_c)3 + (X_0)3 (X_b)2 (X_c)1 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)4 (X_b)1 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)3 (X_a)2 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c

Is it a nice code?: No

Generator Matrix-788

a 0 0 a 0 0
0 a a 0 a 0
b 0 0 b 0 0
0 b b 0 b 0
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b b 0 b 0
0 b a 0 a c
b 0 0 b 0 0
b 0 c b c c
b b b b b 0
b b a b a c
0 a a 0 a 0
0 a b 0 b c
0 c c 0 c 0
0 c 0 0 0 c
b a a b a 0
b a b b b c
b c c b c 0
b c 0 b 0 c
a 0 0 a 0 0
a 0 c a c c
a b b a b 0
a b a a a c
c 0 0 c 0 0
c 0 c c c c
c b b c b 0
c b a c a c
a a a a a 0
a a b a b c
a c c a c 0
a c 0 a 0 c
c a a c a 0
c a b c b c
c c c c c 0
c c 0 c 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 4x3 + 5x4 + 12x5 + 6x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)4 (X_b)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)1 (X_b)5 + (X_a)2 (X_b)3 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_a)3 (X_b)2 + (X_a)1 (X_b)4 (X_c)1 + (X_0)1 (X_b)2 (X_c)3 + (X_0)2 (X_b)2 (X_c)2 + (X_0)4 (X_a)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)1 (X_a)2 (X_b)3 + (X_a)4 (X_b)1 (X_c)1 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5 + (X_0)1 (X_b)3 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)5 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_c)3 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)3 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c

Is it a nice code?: No

Generator Matrix-789

a 0 0 a 0 0
0 a a 0 a 0
b 0 0 b 0 0
0 b b 0 b 0
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b b 0 b 0
0 b a c b 0
b 0 0 b 0 0
b 0 c a 0 0
b b b b b 0
b b a a b 0
0 a a 0 a 0
0 a b c a 0
0 c c 0 c 0
0 c 0 c c 0
b a a b a 0
b a b a a 0
b c c b c 0
b c 0 a c 0
a 0 0 a 0 0
a 0 c b 0 0
a b b a b 0
a b a b b 0
c 0 0 c 0 0
c 0 c 0 0 0
c b b c b 0
c b a 0 b 0
a a a a a 0
a a b b a 0
a c c a c 0
a c 0 b c 0
c a a c a 0
c a b 0 a 0
c c c c c 0
c c 0 0 c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 5x2 + 7x3 + 6x4 + 13x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)4 (X_b)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_b)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_a)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)2 (X_b)3 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c

Is it a nice code?: No

Generator Matrix-790

a 0 0 a 0 0
0 a a 0 a 0
b 0 0 b 0 0
0 b b 0 b 0
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b b 0 b 0
0 b a c b c
b 0 0 b 0 0
b 0 c a 0 c
b b b b b 0
b b a a b c
0 a a 0 a 0
0 a b c a c
0 c c 0 c 0
0 c 0 c c c
b a a b a 0
b a b a a c
b c c b c 0
b c 0 a c c
a 0 0 a 0 0
a 0 c b 0 c
a b b a b 0
a b a b b c
c 0 0 c 0 0
c 0 c 0 0 c
c b b c b 0
c b a 0 b c
a a a a a 0
a a b b a c
a c c a c 0
a c 0 b c c
c a a c a 0
c a b 0 a c
c c c c c 0
c c 0 0 c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 5x3 + 4x4 + 15x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_b)5 + (X_a)2 (X_b)3 (X_c)1 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_a)3 (X_b)2 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)3 + (X_a)2 (X_b)3 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)5 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c

Is it a nice code?: No

Generator Matrix-791

a 0 0 a 0 0
0 a a 0 a 0
b 0 0 b 0 0
0 b b 0 b 0
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b b 0 b 0
0 b a c a 0
b 0 0 b 0 0
b 0 c a c 0
b b b b b 0
b b a a a 0
0 a a 0 a 0
0 a b c b 0
0 c c 0 c 0
0 c 0 c 0 0
b a a b a 0
b a b a b 0
b c c b c 0
b c 0 a 0 0
a 0 0 a 0 0
a 0 c b c 0
a b b a b 0
a b a b a 0
c 0 0 c 0 0
c 0 c 0 c 0
c b b c b 0
c b a 0 a 0
a a a a a 0
a a b b b 0
a c c a c 0
a c 0 b 0 0
c a a c a 0
c a b 0 b 0
c c c c c 0
c c 0 0 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 5x2 + 7x3 + 6x4 + 13x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_b)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)3 (X_b)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)2 (X_c)3 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c

Is it a nice code?: No

Generator Matrix-792

a 0 0 a 0 0
0 a a 0 a 0
b 0 0 b 0 0
0 b b 0 b 0
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b b 0 b 0
0 b a c a c
b 0 0 b 0 0
b 0 c a c c
b b b b b 0
b b a a a c
0 a a 0 a 0
0 a b c b c
0 c c 0 c 0
0 c 0 c 0 c
b a a b a 0
b a b a b c
b c c b c 0
b c 0 a 0 c
a 0 0 a 0 0
a 0 c b c c
a b b a b 0
a b a b a c
c 0 0 c 0 0
c 0 c 0 c c
c b b c b 0
c b a 0 a c
a a a a a 0
a a b b b c
a c c a c 0
a c 0 b 0 c
c a a c a 0
c a b 0 b c
c c c c c 0
c c 0 0 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 5x3 + 4x4 + 15x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)3 (X_b)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)4 (X_b)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_b)5 + (X_a)3 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)3 (X_b)2 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_a)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)2 (X_b)3 + (X_a)3 (X_b)2 (X_c)1 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)5 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c

Is it a nice code?: No

Generator Matrix-793

a 0 0 a 0 0
0 a a 0 a a
b 0 0 b 0 0
0 b b 0 b b
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b b 0 b b
0 b a 0 b b
b 0 0 b 0 0
b 0 c b 0 0
b b b b b b
b b a b b b
0 a a 0 a a
0 a b 0 a a
0 c c 0 c c
0 c 0 0 c c
b a a b a a
b a b b a a
b c c b c c
b c 0 b c c
a 0 0 a 0 0
a 0 c a 0 0
a b b a b b
a b a a b b
c 0 0 c 0 0
c 0 c c 0 0
c b b c b b
c b a c b b
a a a a a a
a a b a a a
a c c a c c
a c 0 a c c
c a a c a a
c a b c a a
c c c c c c
c c 0 c c c

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 3x2 + 4x3 + 5x4 + 3x5 + 15x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)2 (X_b)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)4 (X_b)2 + (X_0)3 (X_b)2 (X_c)1 + (X_b)6 + (X_a)1 (X_b)5 + (X_0)2 (X_a)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_a)4 (X_b)2 + (X_a)3 (X_b)3 + (X_b)2 (X_c)4 + (X_0)1 (X_b)2 (X_c)3 + (X_0)4 (X_a)2 + (X_0)3 (X_a)2 (X_c)1 + (X_a)2 (X_b)4 + (X_a)3 (X_b)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_b)4 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_a)6 + (X_a)5 (X_b)1 + (X_a)2 (X_c)4 + (X_0)1 (X_a)2 (X_c)3 + (X_a)4 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_c)6 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-794

a 0 0 a 0 0
0 a a 0 a a
b 0 0 b 0 0
0 b b 0 b b
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b b 0 b b
0 b a 0 b a
b 0 0 b 0 0
b 0 c b 0 c
b b b b b b
b b a b b a
0 a a 0 a a
0 a b 0 a b
0 c c 0 c c
0 c 0 0 c 0
b a a b a a
b a b b a b
b c c b c c
b c 0 b c 0
a 0 0 a 0 0
a 0 c a 0 c
a b b a b b
a b a a b a
c 0 0 c 0 0
c 0 c c 0 c
c b b c b b
c b a c b a
a a a a a a
a a b a a b
a c c a c c
a c 0 a c 0
c a a c a a
c a b c a b
c c c c c c
c c 0 c c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 5x2 + 0x3 + 11x4 + 0x5 + 15x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_b)6 + (X_a)2 (X_b)4 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_a)4 (X_b)2 + (X_a)2 (X_b)4 + (X_b)2 (X_c)4 + (X_0)2 (X_b)2 (X_c)2 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_a)2 (X_b)4 + (X_a)4 (X_b)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_b)4 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_a)6 + (X_a)4 (X_b)2 + (X_a)2 (X_c)4 + (X_0)2 (X_a)2 (X_c)2 + (X_a)4 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_c)6 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-795

a 0 0 a 0 0
0 a a 0 a a
b 0 0 b 0 0
0 b b 0 b b
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b b 0 b b
0 b a 0 a b
b 0 0 b 0 0
b 0 c b c 0
b b b b b b
b b a b a b
0 a a 0 a a
0 a b 0 b a
0 c c 0 c c
0 c 0 0 0 c
b a a b a a
b a b b b a
b c c b c c
b c 0 b 0 c
a 0 0 a 0 0
a 0 c a c 0
a b b a b b
a b a a a b
c 0 0 c 0 0
c 0 c c c 0
c b b c b b
c b a c a b
a a a a a a
a a b a b a
a c c a c c
a c 0 a 0 c
c a a c a a
c a b c b a
c c c c c c
c c 0 c 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 5x2 + 0x3 + 11x4 + 0x5 + 15x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_b)6 + (X_a)2 (X_b)4 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_a)4 (X_b)2 + (X_a)2 (X_b)4 + (X_b)2 (X_c)4 + (X_0)2 (X_b)2 (X_c)2 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_a)2 (X_b)4 + (X_a)4 (X_b)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_b)4 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_a)6 + (X_a)4 (X_b)2 + (X_a)2 (X_c)4 + (X_0)2 (X_a)2 (X_c)2 + (X_a)4 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_c)6 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-796

a 0 0 a 0 0
0 a a 0 a a
b 0 0 b 0 0
0 b b 0 b b
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b b 0 b b
0 b a 0 a a
b 0 0 b 0 0
b 0 c b c c
b b b b b b
b b a b a a
0 a a 0 a a
0 a b 0 b b
0 c c 0 c c
0 c 0 0 0 0
b a a b a a
b a b b b b
b c c b c c
b c 0 b 0 0
a 0 0 a 0 0
a 0 c a c c
a b b a b b
a b a a a a
c 0 0 c 0 0
c 0 c c c c
c b b c b b
c b a c a a
a a a a a a
a a b a b b
a c c a c c
a c 0 a 0 0
c a a c a a
c a b c b b
c c c c c c
c c 0 c 0 0

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 3x2 + 4x3 + 5x4 + 3x5 + 15x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)2 (X_b)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)4 (X_b)2 + (X_0)1 (X_b)2 (X_c)3 + (X_b)6 + (X_a)3 (X_b)3 + (X_0)2 (X_a)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_a)4 (X_b)2 + (X_a)1 (X_b)5 + (X_b)2 (X_c)4 + (X_0)3 (X_b)2 (X_c)1 + (X_0)4 (X_a)2 + (X_0)1 (X_a)2 (X_c)3 + (X_a)2 (X_b)4 + (X_a)5 (X_b)1 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5 + (X_b)4 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_a)6 + (X_a)3 (X_b)3 + (X_a)2 (X_c)4 + (X_0)3 (X_a)2 (X_c)1 + (X_a)4 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_c)6 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-797

a 0 0 a 0 0
0 a a 0 a a
b 0 0 b 0 0
0 b b 0 b b
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b b 0 b b
0 b a c b b
b 0 0 b 0 0
b 0 c a 0 0
b b b b b b
b b a a b b
0 a a 0 a a
0 a b c a a
0 c c 0 c c
0 c 0 c c c
b a a b a a
b a b a a a
b c c b c c
b c 0 a c c
a 0 0 a 0 0
a 0 c b 0 0
a b b a b b
a b a b b b
c 0 0 c 0 0
c 0 c 0 0 0
c b b c b b
c b a 0 b b
a a a a a a
a a b b a a
a c c a c c
a c 0 b c c
c a a c a a
c a b 0 a a
c c c c c c
c c 0 0 c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 5x2 + 2x3 + 5x4 + 6x5 + 13x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)4 (X_b)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_b)6 + (X_a)2 (X_b)4 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_a)4 (X_b)2 + (X_a)4 (X_b)2 + (X_b)2 (X_c)4 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_a)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_a)2 (X_b)4 + (X_a)2 (X_b)4 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_b)4 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)6 + (X_a)4 (X_b)2 + (X_a)2 (X_c)4 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_a)4 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_c)6 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-798

a 0 0 a 0 0
0 a a 0 a a
b 0 0 b 0 0
0 b b 0 b b
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b b 0 b b
0 b a c b a
b 0 0 b 0 0
b 0 c a 0 c
b b b b b b
b b a a b a
0 a a 0 a a
0 a b c a b
0 c c 0 c c
0 c 0 c c 0
b a a b a a
b a b a a b
b c c b c c
b c 0 a c 0
a 0 0 a 0 0
a 0 c b 0 c
a b b a b b
a b a b b a
c 0 0 c 0 0
c 0 c 0 0 c
c b b c b b
c b a 0 b a
a a a a a a
a a b b a b
a c c a c c
a c 0 b c 0
c a a c a a
c a b 0 a b
c c c c c c
c c 0 0 c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 4x3 + 7x4 + 4x5 + 13x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_b)6 + (X_a)3 (X_b)3 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_a)4 (X_b)2 + (X_a)3 (X_b)3 + (X_b)2 (X_c)4 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_a)2 (X_b)4 + (X_a)3 (X_b)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_b)4 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)6 + (X_a)3 (X_b)3 + (X_a)2 (X_c)4 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_a)4 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_c)6 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-799

a 0 0 a 0 0
0 a a 0 a a
b 0 0 b 0 0
0 b b 0 b b
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b b 0 b b
0 b a c a b
b 0 0 b 0 0
b 0 c a c 0
b b b b b b
b b a a a b
0 a a 0 a a
0 a b c b a
0 c c 0 c c
0 c 0 c 0 c
b a a b a a
b a b a b a
b c c b c c
b c 0 a 0 c
a 0 0 a 0 0
a 0 c b c 0
a b b a b b
a b a b a b
c 0 0 c 0 0
c 0 c 0 c 0
c b b c b b
c b a 0 a b
a a a a a a
a a b b b a
a c c a c c
a c 0 b 0 c
c a a c a a
c a b 0 b a
c c c c c c
c c 0 0 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 4x3 + 7x4 + 4x5 + 13x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_b)6 + (X_a)3 (X_b)3 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_a)4 (X_b)2 + (X_a)3 (X_b)3 + (X_b)2 (X_c)4 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_a)2 (X_b)4 + (X_a)3 (X_b)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_b)4 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)6 + (X_a)3 (X_b)3 + (X_a)2 (X_c)4 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_a)4 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_c)6 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-800

a 0 0 a 0 0
0 a a 0 a a
b 0 0 b 0 0
0 b b 0 b b
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b b 0 b b
0 b a c a a
b 0 0 b 0 0
b 0 c a c c
b b b b b b
b b a a a a
0 a a 0 a a
0 a b c b b
0 c c 0 c c
0 c 0 c 0 0
b a a b a a
b a b a b b
b c c b c c
b c 0 a 0 0
a 0 0 a 0 0
a 0 c b c c
a b b a b b
a b a b a a
c 0 0 c 0 0
c 0 c 0 c c
c b b c b b
c b a 0 a a
a a a a a a
a a b b b b
a c c a c c
a c 0 b 0 0
c a a c a a
c a b 0 b b
c c c c c c
c c 0 0 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 5x2 + 2x3 + 5x4 + 6x5 + 13x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)2 (X_b)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)4 (X_b)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_b)6 + (X_a)4 (X_b)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_a)4 (X_b)2 + (X_a)2 (X_b)4 + (X_b)2 (X_c)4 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)4 (X_a)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_a)2 (X_b)4 + (X_a)4 (X_b)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_b)4 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)6 + (X_a)2 (X_b)4 + (X_a)2 (X_c)4 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_a)4 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_c)6 + (X_0)4 (X_c)2

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-801

a 0 0 a 0 0
0 a a a 0 0
b 0 0 b 0 0
0 b b b 0 0
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b b b 0 0
0 b a b 0 0
b 0 0 b 0 0
b 0 c b 0 0
b b b 0 0 0
b b a 0 0 0
0 a a a 0 0
0 a b a 0 0
0 c c c 0 0
0 c 0 c 0 0
b a a c 0 0
b a b c 0 0
b c c a 0 0
b c 0 a 0 0
a 0 0 a 0 0
a 0 c a 0 0
a b b c 0 0
a b a c 0 0
c 0 0 c 0 0
c 0 c c 0 0
c b b a 0 0
c b a a 0 0
a a a 0 0 0
a a b 0 0 0
a c c b 0 0
a c 0 b 0 0
c a a b 0 0
c a b b 0 0
c c c 0 0 0
c c 0 0 0 0

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 5x2 + 15x3 + 10x4 + 0x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)3 (X_b)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)4 (X_b)2 + (X_0)3 (X_b)2 (X_c)1 + (X_0)3 (X_b)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)3 (X_a)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)4 (X_a)2 + (X_0)3 (X_a)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_a)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c

Is it a nice code?: No

Generator Matrix-802

a 0 0 a 0 0
0 a a a 0 0
b 0 0 b 0 0
0 b b b 0 0
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b b b 0 0
0 b a b 0 c
b 0 0 b 0 0
b 0 c b 0 c
b b b 0 0 0
b b a 0 0 c
0 a a a 0 0
0 a b a 0 c
0 c c c 0 0
0 c 0 c 0 c
b a a c 0 0
b a b c 0 c
b c c a 0 0
b c 0 a 0 c
a 0 0 a 0 0
a 0 c a 0 c
a b b c 0 0
a b a c 0 c
c 0 0 c 0 0
c 0 c c 0 c
c b b a 0 0
c b a a 0 c
a a a 0 0 0
a a b 0 0 c
a c c b 0 0
a c 0 b 0 c
c a a b 0 0
c a b b 0 c
c c c 0 0 0
c c 0 0 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 8x3 + 15x4 + 4x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c

Is it a nice code?: No

Generator Matrix-803

a 0 0 a 0 0
0 a a a 0 0
b 0 0 b 0 0
0 b b b 0 0
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b b b 0 0
0 b a b c 0
b 0 0 b 0 0
b 0 c b c 0
b b b 0 0 0
b b a 0 c 0
0 a a a 0 0
0 a b a c 0
0 c c c 0 0
0 c 0 c c 0
b a a c 0 0
b a b c c 0
b c c a 0 0
b c 0 a c 0
a 0 0 a 0 0
a 0 c a c 0
a b b c 0 0
a b a c c 0
c 0 0 c 0 0
c 0 c c c 0
c b b a 0 0
c b a a c 0
a a a 0 0 0
a a b 0 c 0
a c c b 0 0
a c 0 b c 0
c a a b 0 0
c a b b c 0
c c c 0 0 0
c c 0 0 c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 8x3 + 15x4 + 4x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c

Is it a nice code?: No

Generator Matrix-804

a 0 0 a 0 0
0 a a a 0 0
b 0 0 b 0 0
0 b b b 0 0
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b b b 0 0
0 b a b c c
b 0 0 b 0 0
b 0 c b c c
b b b 0 0 0
b b a 0 c c
0 a a a 0 0
0 a b a c c
0 c c c 0 0
0 c 0 c c c
b a a c 0 0
b a b c c c
b c c a 0 0
b c 0 a c c
a 0 0 a 0 0
a 0 c a c c
a b b c 0 0
a b a c c c
c 0 0 c 0 0
c 0 c c c c
c b b a 0 0
c b a a c c
a a a 0 0 0
a a b 0 c c
a c c b 0 0
a c 0 b c c
c a a b 0 0
c a b b c c
c c c 0 0 0
c c 0 0 c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 7x3 + 8x4 + 9x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)4 (X_b)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_a)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c

Is it a nice code?: No

Generator Matrix-805

a 0 0 a 0 0
0 a a a 0 0
b 0 0 b 0 0
0 b b b 0 0
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b b b 0 0
0 b a a 0 0
b 0 0 b 0 0
b 0 c a 0 0
b b b 0 0 0
b b a c 0 0
0 a a a 0 0
0 a b b 0 0
0 c c c 0 0
0 c 0 0 0 0
b a a c 0 0
b a b 0 0 0
b c c a 0 0
b c 0 b 0 0
a 0 0 a 0 0
a 0 c b 0 0
a b b c 0 0
a b a 0 0 0
c 0 0 c 0 0
c 0 c 0 0 0
c b b a 0 0
c b a b 0 0
a a a 0 0 0
a a b c 0 0
a c c b 0 0
a c 0 a 0 0
c a a b 0 0
c a b a 0 0
c c c 0 0 0
c c 0 c 0 0

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 5x2 + 15x3 + 10x4 + 0x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)4 (X_b)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_a)1 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_b)2 (X_c)1 + (X_0)4 (X_a)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_a)2 (X_b)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_a)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c

Is it a nice code?: No

Generator Matrix-806

a 0 0 a 0 0
0 a a a 0 0
b 0 0 b 0 0
0 b b b 0 0
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b b b 0 0
0 b a a 0 c
b 0 0 b 0 0
b 0 c a 0 c
b b b 0 0 0
b b a c 0 c
0 a a a 0 0
0 a b b 0 c
0 c c c 0 0
0 c 0 0 0 c
b a a c 0 0
b a b 0 0 c
b c c a 0 0
b c 0 b 0 c
a 0 0 a 0 0
a 0 c b 0 c
a b b c 0 0
a b a 0 0 c
c 0 0 c 0 0
c 0 c 0 0 c
c b b a 0 0
c b a b 0 c
a a a 0 0 0
a a b c 0 c
a c c b 0 0
a c 0 a 0 c
c a a b 0 0
c a b a 0 c
c c c 0 0 0
c c 0 c 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 8x3 + 15x4 + 4x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c

Is it a nice code?: No

Generator Matrix-807

a 0 0 a 0 0
0 a a a 0 0
b 0 0 b 0 0
0 b b b 0 0
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b b b 0 0
0 b a a c 0
b 0 0 b 0 0
b 0 c a c 0
b b b 0 0 0
b b a c c 0
0 a a a 0 0
0 a b b c 0
0 c c c 0 0
0 c 0 0 c 0
b a a c 0 0
b a b 0 c 0
b c c a 0 0
b c 0 b c 0
a 0 0 a 0 0
a 0 c b c 0
a b b c 0 0
a b a 0 c 0
c 0 0 c 0 0
c 0 c 0 c 0
c b b a 0 0
c b a b c 0
a a a 0 0 0
a a b c c 0
a c c b 0 0
a c 0 a c 0
c a a b 0 0
c a b a c 0
c c c 0 0 0
c c 0 c c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 8x3 + 15x4 + 4x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c

Is it a nice code?: No

Generator Matrix-808

a 0 0 a 0 0
0 a a a 0 0
b 0 0 b 0 0
0 b b b 0 0
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b b b 0 0
0 b a a c c
b 0 0 b 0 0
b 0 c a c c
b b b 0 0 0
b b a c c c
0 a a a 0 0
0 a b b c c
0 c c c 0 0
0 c 0 0 c c
b a a c 0 0
b a b 0 c c
b c c a 0 0
b c 0 b c c
a 0 0 a 0 0
a 0 c b c c
a b b c 0 0
a b a 0 c c
c 0 0 c 0 0
c 0 c 0 c c
c b b a 0 0
c b a b c c
a a a 0 0 0
a a b c c c
a c c b 0 0
a c 0 a c c
c a a b 0 0
c a b a c c
c c c 0 0 0
c c 0 c c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 7x3 + 8x4 + 9x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)3 (X_b)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)4 (X_b)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_b)3 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)4 (X_a)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)3 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c

Is it a nice code?: No

Generator Matrix-809

a 0 0 a 0 0
0 a a a 0 a
b 0 0 b 0 0
0 b b b 0 b
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b b b 0 b
0 b a b 0 b
b 0 0 b 0 0
b 0 c b 0 0
b b b 0 0 b
b b a 0 0 b
0 a a a 0 a
0 a b a 0 a
0 c c c 0 c
0 c 0 c 0 c
b a a c 0 a
b a b c 0 a
b c c a 0 c
b c 0 a 0 c
a 0 0 a 0 0
a 0 c a 0 0
a b b c 0 b
a b a c 0 b
c 0 0 c 0 0
c 0 c c 0 0
c b b a 0 b
c b a a 0 b
a a a 0 0 a
a a b 0 0 a
a c c b 0 c
a c 0 b 0 c
c a a b 0 a
c a b b 0 a
c c c 0 0 c
c c 0 0 0 c

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 3x2 + 5x3 + 12x4 + 10x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)2 (X_b)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)4 (X_b)2 + (X_0)3 (X_b)2 (X_c)1 + (X_0)2 (X_b)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)2 (X_a)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_a)2 + (X_0)3 (X_a)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0

Is it a nice code?: No

Generator Matrix-810

a 0 0 a 0 0
0 a a a 0 a
b 0 0 b 0 0
0 b b b 0 b
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b b b 0 b
0 b a b 0 a
b 0 0 b 0 0
b 0 c b 0 c
b b b 0 0 b
b b a 0 0 a
0 a a a 0 a
0 a b a 0 b
0 c c c 0 c
0 c 0 c 0 0
b a a c 0 a
b a b c 0 b
b c c a 0 c
b c 0 a 0 0
a 0 0 a 0 0
a 0 c a 0 c
a b b c 0 b
a b a c 0 a
c 0 0 c 0 0
c 0 c c 0 c
c b b a 0 b
c b a a 0 a
a a a 0 0 a
a a b 0 0 b
a c c b 0 c
a c 0 b 0 0
c a a b 0 a
c a b b 0 b
c c c 0 0 c
c c 0 0 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 6x2 + 2x3 + 13x4 + 10x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0

Is it a nice code?: No

Generator Matrix-811

a 0 0 a 0 0
0 a a a 0 a
b 0 0 b 0 0
0 b b b 0 b
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b b b 0 b
0 b a b c b
b 0 0 b 0 0
b 0 c b c 0
b b b 0 0 b
b b a 0 c b
0 a a a 0 a
0 a b a c a
0 c c c 0 c
0 c 0 c c c
b a a c 0 a
b a b c c a
b c c a 0 c
b c 0 a c c
a 0 0 a 0 0
a 0 c a c 0
a b b c 0 b
a b a c c b
c 0 0 c 0 0
c 0 c c c 0
c b b a 0 b
c b a a c b
a a a 0 0 a
a a b 0 c a
a c c b 0 c
a c 0 b c c
c a a b 0 a
c a b b c a
c c c 0 0 c
c c 0 0 c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 0x3 + 11x4 + 12x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0

Is it a nice code?: No

Generator Matrix-812

a 0 0 a 0 0
0 a a a 0 a
b 0 0 b 0 0
0 b b b 0 b
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b b b 0 b
0 b a b c a
b 0 0 b 0 0
b 0 c b c c
b b b 0 0 b
b b a 0 c a
0 a a a 0 a
0 a b a c b
0 c c c 0 c
0 c 0 c c 0
b a a c 0 a
b a b c c b
b c c a 0 c
b c 0 a c 0
a 0 0 a 0 0
a 0 c a c c
a b b c 0 b
a b a c c a
c 0 0 c 0 0
c 0 c c c c
c b b a 0 b
c b a a c a
a a a 0 0 a
a a b 0 c b
a c c b 0 c
a c 0 b c 0
c a a b 0 a
c a b b c b
c c c 0 0 c
c c 0 0 c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 3x3 + 8x4 + 13x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)4 (X_b)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_a)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0

Is it a nice code?: No

Generator Matrix-813

a 0 0 a 0 0
0 a a a 0 a
b 0 0 b 0 0
0 b b b 0 b
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b b b 0 b
0 b a a 0 b
b 0 0 b 0 0
b 0 c a 0 0
b b b 0 0 b
b b a c 0 b
0 a a a 0 a
0 a b b 0 a
0 c c c 0 c
0 c 0 0 0 c
b a a c 0 a
b a b 0 0 a
b c c a 0 c
b c 0 b 0 c
a 0 0 a 0 0
a 0 c b 0 0
a b b c 0 b
a b a 0 0 b
c 0 0 c 0 0
c 0 c 0 0 0
c b b a 0 b
c b a b 0 b
a a a 0 0 a
a a b c 0 a
a c c b 0 c
a c 0 a 0 c
c a a b 0 a
c a b a 0 a
c c c 0 0 c
c c 0 c 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 6x2 + 2x3 + 13x4 + 10x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)4 (X_b)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_b)2 (X_c)2 + (X_0)4 (X_a)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0

Is it a nice code?: No

Generator Matrix-814

a 0 0 a 0 0
0 a a a 0 a
b 0 0 b 0 0
0 b b b 0 b
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b b b 0 b
0 b a a 0 a
b 0 0 b 0 0
b 0 c a 0 c
b b b 0 0 b
b b a c 0 a
0 a a a 0 a
0 a b b 0 b
0 c c c 0 c
0 c 0 0 0 0
b a a c 0 a
b a b 0 0 b
b c c a 0 c
b c 0 b 0 0
a 0 0 a 0 0
a 0 c b 0 c
a b b c 0 b
a b a 0 0 a
c 0 0 c 0 0
c 0 c 0 0 c
c b b a 0 b
c b a b 0 a
a a a 0 0 a
a a b c 0 b
a c c b 0 c
a c 0 a 0 0
c a a b 0 a
c a b a 0 b
c c c 0 0 c
c c 0 c 0 0

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 3x2 + 5x3 + 12x4 + 10x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)2 (X_b)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_b)2 (X_c)1 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)3 (X_b)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_a)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0

Is it a nice code?: No

Generator Matrix-815

a 0 0 a 0 0
0 a a a 0 a
b 0 0 b 0 0
0 b b b 0 b
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b b b 0 b
0 b a a c b
b 0 0 b 0 0
b 0 c a c 0
b b b 0 0 b
b b a c c b
0 a a a 0 a
0 a b b c a
0 c c c 0 c
0 c 0 0 c c
b a a c 0 a
b a b 0 c a
b c c a 0 c
b c 0 b c c
a 0 0 a 0 0
a 0 c b c 0
a b b c 0 b
a b a 0 c b
c 0 0 c 0 0
c 0 c 0 c 0
c b b a 0 b
c b a b c b
a a a 0 0 a
a a b c c a
a c c b 0 c
a c 0 a c c
c a a b 0 a
c a b a c a
c c c 0 0 c
c c 0 c c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 3x3 + 8x4 + 13x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_b)4 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_b)2 (X_c)3 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)4 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)2 (X_c)3 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0

Is it a nice code?: No

Generator Matrix-816

a 0 0 a 0 0
0 a a a 0 a
b 0 0 b 0 0
0 b b b 0 b
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b b b 0 b
0 b a a c a
b 0 0 b 0 0
b 0 c a c c
b b b 0 0 b
b b a c c a
0 a a a 0 a
0 a b b c b
0 c c c 0 c
0 c 0 0 c 0
b a a c 0 a
b a b 0 c b
b c c a 0 c
b c 0 b c 0
a 0 0 a 0 0
a 0 c b c c
a b b c 0 b
a b a 0 c a
c 0 0 c 0 0
c 0 c 0 c c
c b b a 0 b
c b a b c a
a a a 0 0 a
a a b c c b
a c c b 0 c
a c 0 a c 0
c a a b 0 a
c a b a c b
c c c 0 0 c
c c 0 c c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 0x3 + 11x4 + 12x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)2 (X_b)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)4 (X_b)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_b)4 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_b)2 (X_c)2 + (X_0)4 (X_a)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0

Is it a nice code?: No

Generator Matrix-817

a 0 0 a 0 0
0 a a a a 0
b 0 0 b 0 0
0 b b b b 0
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b b b b 0
0 b a b b 0
b 0 0 b 0 0
b 0 c b 0 0
b b b 0 b 0
b b a 0 b 0
0 a a a a 0
0 a b a a 0
0 c c c c 0
0 c 0 c c 0
b a a c a 0
b a b c a 0
b c c a c 0
b c 0 a c 0
a 0 0 a 0 0
a 0 c a 0 0
a b b c b 0
a b a c b 0
c 0 0 c 0 0
c 0 c c 0 0
c b b a b 0
c b a a b 0
a a a 0 a 0
a a b 0 a 0
a c c b c 0
a c 0 b c 0
c a a b a 0
c a b b a 0
c c c 0 c 0
c c 0 0 c 0

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 3x2 + 5x3 + 12x4 + 10x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)2 (X_b)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)4 (X_b)2 + (X_0)3 (X_b)2 (X_c)1 + (X_0)2 (X_b)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)2 (X_a)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_a)2 + (X_0)3 (X_a)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c

Is it a nice code?: No

Generator Matrix-818

a 0 0 a 0 0
0 a a a a 0
b 0 0 b 0 0
0 b b b b 0
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b b b b 0
0 b a b b c
b 0 0 b 0 0
b 0 c b 0 c
b b b 0 b 0
b b a 0 b c
0 a a a a 0
0 a b a a c
0 c c c c 0
0 c 0 c c c
b a a c a 0
b a b c a c
b c c a c 0
b c 0 a c c
a 0 0 a 0 0
a 0 c a 0 c
a b b c b 0
a b a c b c
c 0 0 c 0 0
c 0 c c 0 c
c b b a b 0
c b a a b c
a a a 0 a 0
a a b 0 a c
a c c b c 0
a c 0 b c c
c a a b a 0
c a b b a c
c c c 0 c 0
c c 0 0 c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 0x3 + 11x4 + 12x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c

Is it a nice code?: No

Generator Matrix-819

a 0 0 a 0 0
0 a a a a 0
b 0 0 b 0 0
0 b b b b 0
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b b b b 0
0 b a b a 0
b 0 0 b 0 0
b 0 c b c 0
b b b 0 b 0
b b a 0 a 0
0 a a a a 0
0 a b a b 0
0 c c c c 0
0 c 0 c 0 0
b a a c a 0
b a b c b 0
b c c a c 0
b c 0 a 0 0
a 0 0 a 0 0
a 0 c a c 0
a b b c b 0
a b a c a 0
c 0 0 c 0 0
c 0 c c c 0
c b b a b 0
c b a a a 0
a a a 0 a 0
a a b 0 b 0
a c c b c 0
a c 0 b 0 0
c a a b a 0
c a b b b 0
c c c 0 c 0
c c 0 0 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 6x2 + 2x3 + 13x4 + 10x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c

Is it a nice code?: No

Generator Matrix-820

a 0 0 a 0 0
0 a a a a 0
b 0 0 b 0 0
0 b b b b 0
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b b b b 0
0 b a b a c
b 0 0 b 0 0
b 0 c b c c
b b b 0 b 0
b b a 0 a c
0 a a a a 0
0 a b a b c
0 c c c c 0
0 c 0 c 0 c
b a a c a 0
b a b c b c
b c c a c 0
b c 0 a 0 c
a 0 0 a 0 0
a 0 c a c c
a b b c b 0
a b a c a c
c 0 0 c 0 0
c 0 c c c c
c b b a b 0
c b a a a c
a a a 0 a 0
a a b 0 b c
a c c b c 0
a c 0 b 0 c
c a a b a 0
c a b b b c
c c c 0 c 0
c c 0 0 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 3x3 + 8x4 + 13x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)4 (X_b)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_a)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c

Is it a nice code?: No

Generator Matrix-821

a 0 0 a 0 0
0 a a a a 0
b 0 0 b 0 0
0 b b b b 0
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b b b b 0
0 b a a b 0
b 0 0 b 0 0
b 0 c a 0 0
b b b 0 b 0
b b a c b 0
0 a a a a 0
0 a b b a 0
0 c c c c 0
0 c 0 0 c 0
b a a c a 0
b a b 0 a 0
b c c a c 0
b c 0 b c 0
a 0 0 a 0 0
a 0 c b 0 0
a b b c b 0
a b a 0 b 0
c 0 0 c 0 0
c 0 c 0 0 0
c b b a b 0
c b a b b 0
a a a 0 a 0
a a b c a 0
a c c b c 0
a c 0 a c 0
c a a b a 0
c a b a a 0
c c c 0 c 0
c c 0 c c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 6x2 + 2x3 + 13x4 + 10x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)4 (X_b)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_b)2 (X_c)2 + (X_0)4 (X_a)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c

Is it a nice code?: No

Generator Matrix-822

a 0 0 a 0 0
0 a a a a 0
b 0 0 b 0 0
0 b b b b 0
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b b b b 0
0 b a a b c
b 0 0 b 0 0
b 0 c a 0 c
b b b 0 b 0
b b a c b c
0 a a a a 0
0 a b b a c
0 c c c c 0
0 c 0 0 c c
b a a c a 0
b a b 0 a c
b c c a c 0
b c 0 b c c
a 0 0 a 0 0
a 0 c b 0 c
a b b c b 0
a b a 0 b c
c 0 0 c 0 0
c 0 c 0 0 c
c b b a b 0
c b a b b c
a a a 0 a 0
a a b c a c
a c c b c 0
a c 0 a c c
c a a b a 0
c a b a a c
c c c 0 c 0
c c 0 c c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 3x3 + 8x4 + 13x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_b)4 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_b)2 (X_c)3 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)4 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)2 (X_c)3 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c

Is it a nice code?: No

Generator Matrix-823

a 0 0 a 0 0
0 a a a a 0
b 0 0 b 0 0
0 b b b b 0
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b b b b 0
0 b a a a 0
b 0 0 b 0 0
b 0 c a c 0
b b b 0 b 0
b b a c a 0
0 a a a a 0
0 a b b b 0
0 c c c c 0
0 c 0 0 0 0
b a a c a 0
b a b 0 b 0
b c c a c 0
b c 0 b 0 0
a 0 0 a 0 0
a 0 c b c 0
a b b c b 0
a b a 0 a 0
c 0 0 c 0 0
c 0 c 0 c 0
c b b a b 0
c b a b a 0
a a a 0 a 0
a a b c b 0
a c c b c 0
a c 0 a 0 0
c a a b a 0
c a b a b 0
c c c 0 c 0
c c 0 c 0 0

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 3x2 + 5x3 + 12x4 + 10x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)2 (X_b)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_b)2 (X_c)1 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)3 (X_b)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_a)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c

Is it a nice code?: No

Generator Matrix-824

a 0 0 a 0 0
0 a a a a 0
b 0 0 b 0 0
0 b b b b 0
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b b b b 0
0 b a a a c
b 0 0 b 0 0
b 0 c a c c
b b b 0 b 0
b b a c a c
0 a a a a 0
0 a b b b c
0 c c c c 0
0 c 0 0 0 c
b a a c a 0
b a b 0 b c
b c c a c 0
b c 0 b 0 c
a 0 0 a 0 0
a 0 c b c c
a b b c b 0
a b a 0 a c
c 0 0 c 0 0
c 0 c 0 c c
c b b a b 0
c b a b a c
a a a 0 a 0
a a b c b c
a c c b c 0
a c 0 a 0 c
c a a b a 0
c a b a b c
c c c 0 c 0
c c 0 c 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 0x3 + 11x4 + 12x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)2 (X_b)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)4 (X_b)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_b)4 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_b)2 (X_c)2 + (X_0)4 (X_a)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c

Is it a nice code?: No

Generator Matrix-825

a 0 0 a 0 0
0 a a a a a
b 0 0 b 0 0
0 b b b b b
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b b b b b
0 b a b b b
b 0 0 b 0 0
b 0 c b 0 0
b b b 0 b b
b b a 0 b b
0 a a a a a
0 a b a a a
0 c c c c c
0 c 0 c c c
b a a c a a
b a b c a a
b c c a c c
b c 0 a c c
a 0 0 a 0 0
a 0 c a 0 0
a b b c b b
a b a c b b
c 0 0 c 0 0
c 0 c c 0 0
c b b a b b
c b a a b b
a a a 0 a a
a a b 0 a a
a c c b c c
a c 0 b c c
c a a b a a
c a b b a a
c c c 0 c c
c c 0 0 c c

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 3x2 + 3x3 + 2x4 + 12x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)1 (X_b)5 + (X_0)1 (X_a)1 (X_b)4 + (X_0)4 (X_b)2 + (X_0)3 (X_b)2 (X_c)1 + (X_0)1 (X_b)5 + (X_0)1 (X_a)1 (X_b)4 + (X_0)1 (X_a)5 + (X_0)1 (X_a)4 (X_b)1 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_a)4 (X_b)1 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)1 (X_b)1 (X_c)4 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_a)2 + (X_0)3 (X_a)2 (X_c)1 + (X_a)1 (X_b)4 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_a)1 (X_b)4 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)4 (X_b)1 + (X_a)1 (X_b)1 (X_c)4 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_a)4 (X_b)1 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-826

a 0 0 a 0 0
0 a a a a a
b 0 0 b 0 0
0 b b b b b
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b b b b b
0 b a b b a
b 0 0 b 0 0
b 0 c b 0 c
b b b 0 b b
b b a 0 b a
0 a a a a a
0 a b a a b
0 c c c c c
0 c 0 c c 0
b a a c a a
b a b c a b
b c c a c c
b c 0 a c 0
a 0 0 a 0 0
a 0 c a 0 c
a b b c b b
a b a c b a
c 0 0 c 0 0
c 0 c c 0 c
c b b a b b
c b a a b a
a a a 0 a a
a a b 0 a b
a c c b c c
a c 0 b c 0
c a a b a a
c a b b a b
c c c 0 c c
c c 0 0 c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 2x3 + 5x4 + 10x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)1 (X_b)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)1 (X_b)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_a)4 (X_b)1 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)1 (X_b)1 (X_c)4 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_a)1 (X_b)4 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_a)1 (X_b)4 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)3 (X_b)2 + (X_a)1 (X_b)1 (X_c)4 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_a)4 (X_b)1 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-827

a 0 0 a 0 0
0 a a a a a
b 0 0 b 0 0
0 b b b b b
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b b b b b
0 b a b a b
b 0 0 b 0 0
b 0 c b c 0
b b b 0 b b
b b a 0 a b
0 a a a a a
0 a b a b a
0 c c c c c
0 c 0 c 0 c
b a a c a a
b a b c b a
b c c a c c
b c 0 a 0 c
a 0 0 a 0 0
a 0 c a c 0
a b b c b b
a b a c a b
c 0 0 c 0 0
c 0 c c c 0
c b b a b b
c b a a a b
a a a 0 a a
a a b 0 b a
a c c b c c
a c 0 b 0 c
c a a b a a
c a b b b a
c c c 0 c c
c c 0 0 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 2x3 + 5x4 + 10x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)1 (X_b)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)1 (X_b)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_a)4 (X_b)1 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)1 (X_b)1 (X_c)4 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_a)1 (X_b)4 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_a)1 (X_b)4 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)3 (X_b)2 + (X_a)1 (X_b)1 (X_c)4 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_a)4 (X_b)1 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-828

a 0 0 a 0 0
0 a a a a a
b 0 0 b 0 0
0 b b b b b
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b b b b b
0 b a b a a
b 0 0 b 0 0
b 0 c b c c
b b b 0 b b
b b a 0 a a
0 a a a a a
0 a b a b b
0 c c c c c
0 c 0 c 0 0
b a a c a a
b a b c b b
b c c a c c
b c 0 a 0 0
a 0 0 a 0 0
a 0 c a c c
a b b c b b
a b a c a a
c 0 0 c 0 0
c 0 c c c c
c b b a b b
c b a a a a
a a a 0 a a
a a b 0 b b
a c c b c c
a c 0 b 0 0
c a a b a a
c a b b b b
c c c 0 c c
c c 0 0 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 5x2 + 3x3 + 0x4 + 13x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)1 (X_b)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)4 (X_b)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)1 (X_b)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2 + (X_a)4 (X_b)1 (X_c)1 + (X_a)1 (X_b)4 (X_c)1 + (X_a)1 (X_b)1 (X_c)4 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)4 (X_a)2 + (X_0)1 (X_a)2 (X_c)3 + (X_a)1 (X_b)4 (X_c)1 + (X_a)4 (X_b)1 (X_c)1 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5 + (X_a)1 (X_b)4 (X_c)1 + (X_a)4 (X_b)1 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)2 (X_b)3 + (X_a)1 (X_b)1 (X_c)4 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_a)4 (X_b)1 (X_c)1 + (X_a)1 (X_b)4 (X_c)1 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-829

a 0 0 a 0 0
0 a a a a a
b 0 0 b 0 0
0 b b b b b
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b b b b b
0 b a a b b
b 0 0 b 0 0
b 0 c a 0 0
b b b 0 b b
b b a c b b
0 a a a a a
0 a b b a a
0 c c c c c
0 c 0 0 c c
b a a c a a
b a b 0 a a
b c c a c c
b c 0 b c c
a 0 0 a 0 0
a 0 c b 0 0
a b b c b b
a b a 0 b b
c 0 0 c 0 0
c 0 c 0 0 0
c b b a b b
c b a b b b
a a a 0 a a
a a b c a a
a c c b c c
a c 0 a c c
c a a b a a
c a b a a a
c c c 0 c c
c c 0 c c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 5x2 + 3x3 + 0x4 + 13x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)1 (X_b)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)4 (X_b)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_b)5 + (X_a)1 (X_b)4 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_a)4 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_a)1 (X_b)1 (X_c)4 + (X_0)1 (X_b)2 (X_c)3 + (X_0)4 (X_a)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_a)1 (X_b)4 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_a)1 (X_b)4 (X_c)1 + (X_a)1 (X_b)4 (X_c)1 + (X_0)1 (X_a)5 + (X_a)4 (X_b)1 (X_c)1 + (X_a)1 (X_b)1 (X_c)4 + (X_0)1 (X_a)2 (X_c)3 + (X_a)4 (X_b)1 (X_c)1 + (X_a)4 (X_b)1 (X_c)1 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-830

a 0 0 a 0 0
0 a a a a a
b 0 0 b 0 0
0 b b b b b
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b b b b b
0 b a a b a
b 0 0 b 0 0
b 0 c a 0 c
b b b 0 b b
b b a c b a
0 a a a a a
0 a b b a b
0 c c c c c
0 c 0 0 c 0
b a a c a a
b a b 0 a b
b c c a c c
b c 0 b c 0
a 0 0 a 0 0
a 0 c b 0 c
a b b c b b
a b a 0 b a
c 0 0 c 0 0
c 0 c 0 0 c
c b b a b b
c b a b b a
a a a 0 a a
a a b c a b
a c c b c c
a c 0 a c 0
c a a b a a
c a b a a b
c c c 0 c c
c c 0 c c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 2x3 + 5x4 + 10x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)1 (X_b)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_b)5 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2 + (X_a)4 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_a)1 (X_b)1 (X_c)4 + (X_0)2 (X_b)2 (X_c)2 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_a)1 (X_b)4 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_a)1 (X_b)4 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)5 + (X_a)3 (X_b)2 (X_c)1 + (X_a)1 (X_b)1 (X_c)4 + (X_0)2 (X_a)2 (X_c)2 + (X_a)4 (X_b)1 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-831

a 0 0 a 0 0
0 a a a a a
b 0 0 b 0 0
0 b b b b b
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b b b b b
0 b a a a b
b 0 0 b 0 0
b 0 c a c 0
b b b 0 b b
b b a c a b
0 a a a a a
0 a b b b a
0 c c c c c
0 c 0 0 0 c
b a a c a a
b a b 0 b a
b c c a c c
b c 0 b 0 c
a 0 0 a 0 0
a 0 c b c 0
a b b c b b
a b a 0 a b
c 0 0 c 0 0
c 0 c 0 c 0
c b b a b b
c b a b a b
a a a 0 a a
a a b c b a
a c c b c c
a c 0 a 0 c
c a a b a a
c a b a b a
c c c 0 c c
c c 0 c 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 2x3 + 5x4 + 10x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)1 (X_b)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_b)5 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2 + (X_a)4 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_a)1 (X_b)1 (X_c)4 + (X_0)2 (X_b)2 (X_c)2 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_a)1 (X_b)4 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_a)1 (X_b)4 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)5 + (X_a)3 (X_b)2 (X_c)1 + (X_a)1 (X_b)1 (X_c)4 + (X_0)2 (X_a)2 (X_c)2 + (X_a)4 (X_b)1 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-832

a 0 0 a 0 0
0 a a a a a
b 0 0 b 0 0
0 b b b b b
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b b b b b
0 b a a a a
b 0 0 b 0 0
b 0 c a c c
b b b 0 b b
b b a c a a
0 a a a a a
0 a b b b b
0 c c c c c
0 c 0 0 0 0
b a a c a a
b a b 0 b b
b c c a c c
b c 0 b 0 0
a 0 0 a 0 0
a 0 c b c c
a b b c b b
a b a 0 a a
c 0 0 c 0 0
c 0 c 0 c c
c b b a b b
c b a b a a
a a a 0 a a
a a b c b b
a c c b c c
a c 0 a 0 0
c a a b a a
c a b a b b
c c c 0 c c
c c 0 c 0 0

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 3x2 + 3x3 + 2x4 + 12x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)1 (X_b)5 + (X_0)1 (X_a)4 (X_b)1 + (X_0)4 (X_b)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_b)5 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)1 (X_b)4 + (X_0)1 (X_c)5 + (X_0)5 (X_c)1 + (X_a)4 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)4 + (X_a)1 (X_b)1 (X_c)4 + (X_0)3 (X_b)2 (X_c)1 + (X_0)4 (X_a)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_a)1 (X_b)4 (X_c)1 + (X_0)1 (X_a)4 (X_b)1 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_a)1 (X_b)4 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)5 + (X_a)2 (X_b)3 (X_c)1 + (X_a)1 (X_b)1 (X_c)4 + (X_0)3 (X_a)2 (X_c)1 + (X_a)4 (X_b)1 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-833

a 0 0 a 0 a
0 a a 0 0 0
b 0 0 b 0 b
0 b b 0 0 0
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b b 0 0 0
0 b a 0 0 0
b 0 0 b 0 b
b 0 c b 0 b
b b b b 0 b
b b a b 0 b
0 a a 0 0 0
0 a b 0 0 0
0 c c 0 0 0
0 c 0 0 0 0
b a a b 0 b
b a b b 0 b
b c c b 0 b
b c 0 b 0 b
a 0 0 a 0 a
a 0 c a 0 a
a b b a 0 a
a b a a 0 a
c 0 0 c 0 c
c 0 c c 0 c
c b b c 0 c
c b a c 0 c
a a a a 0 a
a a b a 0 a
a c c a 0 a
a c 0 a 0 a
c a a c 0 c
c a b c 0 c
c c c c 0 c
c c 0 c 0 c

dmin: 1
Weight Enumerator: 1x0 + 2x1 + 5x2 + 3x3 + 6x4 + 15x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)4 (X_b)2 + (X_0)4 (X_a)1 (X_b)1 + (X_0)3 (X_b)3 + (X_0)2 (X_b)3 (X_c)1 + (X_0)1 (X_b)5 + (X_0)1 (X_a)1 (X_b)4 + (X_0)4 (X_a)2 + (X_0)4 (X_a)1 (X_b)1 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)1 (X_b)4 + (X_0)1 (X_b)3 (X_c)2 + (X_0)2 (X_b)3 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)3 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)4 (X_b)1 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)5 + (X_0)1 (X_a)4 (X_b)1 + (X_0)1 (X_a)3 (X_c)2 + (X_0)2 (X_a)3 (X_c)1 + (X_0)1 (X_a)2 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0

Is it a nice code?: No

Generator Matrix-834

a 0 0 a 0 a
0 a a 0 0 0
b 0 0 b 0 b
0 b b 0 0 0
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b b 0 0 0
0 b a 0 0 c
b 0 0 b 0 b
b 0 c b 0 a
b b b b 0 b
b b a b 0 a
0 a a 0 0 0
0 a b 0 0 c
0 c c 0 0 0
0 c 0 0 0 c
b a a b 0 b
b a b b 0 a
b c c b 0 b
b c 0 b 0 a
a 0 0 a 0 a
a 0 c a 0 b
a b b a 0 a
a b a a 0 b
c 0 0 c 0 c
c 0 c c 0 0
c b b c 0 c
c b a c 0 0
a a a a 0 a
a a b a 0 b
a c c a 0 a
a c 0 a 0 b
c a a c 0 c
c a b c 0 0
c c c c 0 c
c c 0 c 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 5x2 + 7x3 + 6x4 + 13x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_b)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_b)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)4 (X_a)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)3 (X_b)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)3 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0

Is it a nice code?: No

Generator Matrix-835

a 0 0 a 0 a
0 a a 0 0 0
b 0 0 b 0 b
0 b b 0 0 0
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b b 0 0 0
0 b a 0 c 0
b 0 0 b 0 b
b 0 c b c b
b b b b 0 b
b b a b c b
0 a a 0 0 0
0 a b 0 c 0
0 c c 0 0 0
0 c 0 0 c 0
b a a b 0 b
b a b b c b
b c c b 0 b
b c 0 b c b
a 0 0 a 0 a
a 0 c a c a
a b b a 0 a
a b a a c a
c 0 0 c 0 c
c 0 c c c c
c b b c 0 c
c b a c c c
a a a a 0 a
a a b a c a
a c c a 0 a
a c 0 a c a
c a a c 0 c
c a b c c c
c c c c 0 c
c c 0 c c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 5x2 + 5x3 + 0x4 + 15x5 + 6x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_b)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)3 (X_b)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)1 (X_b)5 + (X_a)1 (X_b)4 (X_c)1 + (X_0)4 (X_a)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)1 (X_a)2 (X_b)3 + (X_a)1 (X_b)4 (X_c)1 + (X_0)1 (X_b)3 (X_c)2 + (X_0)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)3 (X_b)2 + (X_a)4 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)1 (X_b)2 (X_c)3 + (X_a)1 (X_b)1 (X_c)4 + (X_0)1 (X_a)5 + (X_a)4 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)2 (X_c)3 + (X_a)1 (X_b)1 (X_c)4 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0

Is it a nice code?: No

Generator Matrix-836

a 0 0 a 0 a
0 a a 0 0 0
b 0 0 b 0 b
0 b b 0 0 0
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b b 0 0 0
0 b a 0 c c
b 0 0 b 0 b
b 0 c b c a
b b b b 0 b
b b a b c a
0 a a 0 0 0
0 a b 0 c c
0 c c 0 0 0
0 c 0 0 c c
b a a b 0 b
b a b b c a
b c c b 0 b
b c 0 b c a
a 0 0 a 0 a
a 0 c a c b
a b b a 0 a
a b a a c b
c 0 0 c 0 c
c 0 c c c 0
c b b c 0 c
c b a c c 0
a a a a 0 a
a a b a c b
a c c a 0 a
a c 0 a c b
c a a c 0 c
c a b c c 0
c c c c 0 c
c c 0 c c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 5x3 + 4x4 + 15x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_b)5 + (X_a)2 (X_b)3 (X_c)1 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)3 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_b)2 + (X_a)3 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)5 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0

Is it a nice code?: No

Generator Matrix-837

a 0 0 a 0 a
0 a a 0 0 0
b 0 0 b 0 b
0 b b 0 0 0
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b b 0 0 0
0 b a c 0 0
b 0 0 b 0 b
b 0 c a 0 b
b b b b 0 b
b b a a 0 b
0 a a 0 0 0
0 a b c 0 0
0 c c 0 0 0
0 c 0 c 0 0
b a a b 0 b
b a b a 0 b
b c c b 0 b
b c 0 a 0 b
a 0 0 a 0 a
a 0 c b 0 a
a b b a 0 a
a b a b 0 a
c 0 0 c 0 c
c 0 c 0 0 c
c b b c 0 c
c b a 0 0 c
a a a a 0 a
a a b b 0 a
a c c a 0 a
a c 0 b 0 a
c a a c 0 c
c a b 0 0 c
c c c c 0 c
c c 0 0 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 5x2 + 7x3 + 6x4 + 13x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_b)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_b)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)4 (X_a)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)3 (X_b)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)3 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0

Is it a nice code?: No

Generator Matrix-838

a 0 0 a 0 a
0 a a 0 0 0
b 0 0 b 0 b
0 b b 0 0 0
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b b 0 0 0
0 b a c 0 c
b 0 0 b 0 b
b 0 c a 0 a
b b b b 0 b
b b a a 0 a
0 a a 0 0 0
0 a b c 0 c
0 c c 0 0 0
0 c 0 c 0 c
b a a b 0 b
b a b a 0 a
b c c b 0 b
b c 0 a 0 a
a 0 0 a 0 a
a 0 c b 0 b
a b b a 0 a
a b a b 0 b
c 0 0 c 0 c
c 0 c 0 0 0
c b b c 0 c
c b a 0 0 0
a a a a 0 a
a a b b 0 b
a c c a 0 a
a c 0 b 0 b
c a a c 0 c
c a b 0 0 0
c c c c 0 c
c c 0 0 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 5x2 + 7x3 + 6x4 + 13x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_b)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)2 (X_b)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_c)3 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0

Is it a nice code?: No

Generator Matrix-839

a 0 0 a 0 a
0 a a 0 0 0
b 0 0 b 0 b
0 b b 0 0 0
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b b 0 0 0
0 b a c c 0
b 0 0 b 0 b
b 0 c a c b
b b b b 0 b
b b a a c b
0 a a 0 0 0
0 a b c c 0
0 c c 0 0 0
0 c 0 c c 0
b a a b 0 b
b a b a c b
b c c b 0 b
b c 0 a c b
a 0 0 a 0 a
a 0 c b c a
a b b a 0 a
a b a b c a
c 0 0 c 0 c
c 0 c 0 c c
c b b c 0 c
c b a 0 c c
a a a a 0 a
a a b b c a
a c c a 0 a
a c 0 b c a
c a a c 0 c
c a b 0 c c
c c c c 0 c
c c 0 0 c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 5x3 + 4x4 + 15x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_b)5 + (X_a)2 (X_b)3 (X_c)1 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)3 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_b)2 + (X_a)3 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)5 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0

Is it a nice code?: No

Generator Matrix-840

a 0 0 a 0 a
0 a a 0 0 0
b 0 0 b 0 b
0 b b 0 0 0
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b b 0 0 0
0 b a c c c
b 0 0 b 0 b
b 0 c a c a
b b b b 0 b
b b a a c a
0 a a 0 0 0
0 a b c c c
0 c c 0 0 0
0 c 0 c c c
b a a b 0 b
b a b a c a
b c c b 0 b
b c 0 a c a
a 0 0 a 0 a
a 0 c b c b
a b b a 0 a
a b a b c b
c 0 0 c 0 c
c 0 c 0 c 0
c b b c 0 c
c b a 0 c 0
a a a a 0 a
a a b b c b
a c c a 0 a
a c 0 b c b
c a a c 0 c
c a b 0 c 0
c c c c 0 c
c c 0 0 c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 5x3 + 4x4 + 15x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)4 (X_b)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_b)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_b)5 + (X_a)3 (X_b)2 (X_c)1 + (X_0)4 (X_a)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_a)2 (X_b)3 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)3 (X_b)2 + (X_a)2 (X_b)3 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)5 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0

Is it a nice code?: No

Generator Matrix-841

a 0 0 a 0 a
0 a a 0 0 a
b 0 0 b 0 b
0 b b 0 0 b
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b b 0 0 b
0 b a 0 0 b
b 0 0 b 0 b
b 0 c b 0 b
b b b b 0 0
b b a b 0 0
0 a a 0 0 a
0 a b 0 0 a
0 c c 0 0 c
0 c 0 0 0 c
b a a b 0 c
b a b b 0 c
b c c b 0 a
b c 0 b 0 a
a 0 0 a 0 a
a 0 c a 0 a
a b b a 0 c
a b a a 0 c
c 0 0 c 0 c
c 0 c c 0 c
c b b c 0 a
c b a c 0 a
a a a a 0 0
a a b a 0 0
a c c a 0 b
a c 0 a 0 b
c a a c 0 b
c a b c 0 b
c c c c 0 0
c c 0 c 0 0

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 1x2 + 9x3 + 10x4 + 10x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)3 (X_b)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)3 (X_b)3 + (X_0)2 (X_b)3 (X_c)1 + (X_0)2 (X_b)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)3 (X_a)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0

Is it a nice code?: No

Generator Matrix-842

a 0 0 a 0 a
0 a a 0 0 a
b 0 0 b 0 b
0 b b 0 0 b
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b b 0 0 b
0 b a 0 0 a
b 0 0 b 0 b
b 0 c b 0 a
b b b b 0 0
b b a b 0 c
0 a a 0 0 a
0 a b 0 0 b
0 c c 0 0 c
0 c 0 0 0 0
b a a b 0 c
b a b b 0 0
b c c b 0 a
b c 0 b 0 b
a 0 0 a 0 a
a 0 c a 0 b
a b b a 0 c
a b a a 0 0
c 0 0 c 0 c
c 0 c c 0 0
c b b c 0 a
c b a c 0 b
a a a a 0 0
a a b a 0 c
a c c a 0 b
a c 0 a 0 a
c a a c 0 b
c a b c 0 a
c c c c 0 0
c c 0 c 0 c

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 1x2 + 9x3 + 10x4 + 10x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)3 (X_a)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_b)3 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)3 (X_b)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0

Is it a nice code?: No

Generator Matrix-843

a 0 0 a 0 a
0 a a 0 0 a
b 0 0 b 0 b
0 b b 0 0 b
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b b 0 0 b
0 b a 0 c b
b 0 0 b 0 b
b 0 c b c b
b b b b 0 0
b b a b c 0
0 a a 0 0 a
0 a b 0 c a
0 c c 0 0 c
0 c 0 0 c c
b a a b 0 c
b a b b c c
b c c b 0 a
b c 0 b c a
a 0 0 a 0 a
a 0 c a c a
a b b a 0 c
a b a a c c
c 0 0 c 0 c
c 0 c c c c
c b b c 0 a
c b a c c a
a a a a 0 0
a a b a c 0
a c c a 0 b
a c 0 a c b
c a a c 0 b
c a b c c b
c c c c 0 0
c c 0 c c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 7x3 + 6x4 + 13x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_b)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0

Is it a nice code?: No

Generator Matrix-844

a 0 0 a 0 a
0 a a 0 0 a
b 0 0 b 0 b
0 b b 0 0 b
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b b 0 0 b
0 b a 0 c a
b 0 0 b 0 b
b 0 c b c a
b b b b 0 0
b b a b c c
0 a a 0 0 a
0 a b 0 c b
0 c c 0 0 c
0 c 0 0 c 0
b a a b 0 c
b a b b c 0
b c c b 0 a
b c 0 b c b
a 0 0 a 0 a
a 0 c a c b
a b b a 0 c
a b a a c 0
c 0 0 c 0 c
c 0 c c c 0
c b b c 0 a
c b a c c b
a a a a 0 0
a a b a c c
a c c a 0 b
a c 0 a c a
c a a c 0 b
c a b c c a
c c c c 0 0
c c 0 c c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 7x3 + 6x4 + 13x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_b)4 + (X_a)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)4 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0

Is it a nice code?: No

Generator Matrix-845

a 0 0 a 0 a
0 a a 0 0 a
b 0 0 b 0 b
0 b b 0 0 b
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b b 0 0 b
0 b a c 0 b
b 0 0 b 0 b
b 0 c a 0 b
b b b b 0 0
b b a a 0 0
0 a a 0 0 a
0 a b c 0 a
0 c c 0 0 c
0 c 0 c 0 c
b a a b 0 c
b a b a 0 c
b c c b 0 a
b c 0 a 0 a
a 0 0 a 0 a
a 0 c b 0 a
a b b a 0 c
a b a b 0 c
c 0 0 c 0 c
c 0 c 0 0 c
c b b c 0 a
c b a 0 0 a
a a a a 0 0
a a b b 0 0
a c c a 0 b
a c 0 b 0 b
c a a c 0 b
c a b 0 0 b
c c c c 0 0
c c 0 0 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 2x2 + 8x3 + 13x4 + 8x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0

Is it a nice code?: No

Generator Matrix-846

a 0 0 a 0 a
0 a a 0 0 a
b 0 0 b 0 b
0 b b 0 0 b
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b b 0 0 b
0 b a c 0 a
b 0 0 b 0 b
b 0 c a 0 a
b b b b 0 0
b b a a 0 c
0 a a 0 0 a
0 a b c 0 b
0 c c 0 0 c
0 c 0 c 0 0
b a a b 0 c
b a b a 0 0
b c c b 0 a
b c 0 a 0 b
a 0 0 a 0 a
a 0 c b 0 b
a b b a 0 c
a b a b 0 0
c 0 0 c 0 c
c 0 c 0 0 0
c b b c 0 a
c b a 0 0 b
a a a a 0 0
a a b b 0 c
a c c a 0 b
a c 0 b 0 a
c a a c 0 b
c a b 0 0 a
c c c c 0 0
c c 0 0 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 2x2 + 8x3 + 13x4 + 8x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0

Is it a nice code?: No

Generator Matrix-847

a 0 0 a 0 a
0 a a 0 0 a
b 0 0 b 0 b
0 b b 0 0 b
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b b 0 0 b
0 b a c c b
b 0 0 b 0 b
b 0 c a c b
b b b b 0 0
b b a a c 0
0 a a 0 0 a
0 a b c c a
0 c c 0 0 c
0 c 0 c c c
b a a b 0 c
b a b a c c
b c c b 0 a
b c 0 a c a
a 0 0 a 0 a
a 0 c b c a
a b b a 0 c
a b a b c c
c 0 0 c 0 c
c 0 c 0 c c
c b b c 0 a
c b a 0 c a
a a a a 0 0
a a b b c 0
a c c a 0 b
a c 0 b c b
c a a c 0 b
c a b 0 c b
c c c c 0 0
c c 0 0 c 0

dmin: 3
Weight Enumerator: 1x0 + 0x1 + 0x2 + 8x3 + 5x4 + 16x5 + 2x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0

Is it a nice code?: No

Generator Matrix-848

a 0 0 a 0 a
0 a a 0 0 a
b 0 0 b 0 b
0 b b 0 0 b
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b b 0 0 b
0 b a c c a
b 0 0 b 0 b
b 0 c a c a
b b b b 0 0
b b a a c c
0 a a 0 0 a
0 a b c c b
0 c c 0 0 c
0 c 0 c c 0
b a a b 0 c
b a b a c 0
b c c b 0 a
b c 0 a c b
a 0 0 a 0 a
a 0 c b c b
a b b a 0 c
a b a b c 0
c 0 0 c 0 c
c 0 c 0 c 0
c b b c 0 a
c b a 0 c b
a a a a 0 0
a a b b c c
a c c a 0 b
a c 0 b c a
c a a c 0 b
c a b 0 c a
c c c c 0 0
c c 0 0 c c

dmin: 3
Weight Enumerator: 1x0 + 0x1 + 0x2 + 8x3 + 5x4 + 16x5 + 2x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)3 (X_b)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_b)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_b)4 + (X_a)2 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0

Is it a nice code?: No

Generator Matrix-849

a 0 0 a 0 a
0 a a 0 a 0
b 0 0 b 0 b
0 b b 0 b 0
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b b 0 b 0
0 b a 0 b 0
b 0 0 b 0 b
b 0 c b 0 b
b b b b b b
b b a b b b
0 a a 0 a 0
0 a b 0 a 0
0 c c 0 c 0
0 c 0 0 c 0
b a a b a b
b a b b a b
b c c b c b
b c 0 b c b
a 0 0 a 0 a
a 0 c a 0 a
a b b a b a
a b a a b a
c 0 0 c 0 c
c 0 c c 0 c
c b b c b c
c b a c b c
a a a a a a
a a b a a a
a c c a c a
a c 0 a c a
c a a c a c
c a b c a c
c c c c c c
c c 0 c c c

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 1x2 + 8x3 + 3x4 + 3x5 + 15x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)3 (X_b)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)3 (X_b)3 + (X_0)2 (X_b)3 (X_c)1 + (X_b)6 + (X_a)1 (X_b)5 + (X_0)3 (X_a)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_a)3 (X_b)3 + (X_a)2 (X_b)4 + (X_b)3 (X_c)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)3 (X_c)1 + (X_a)3 (X_b)3 + (X_a)4 (X_b)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_b)3 (X_c)3 + (X_a)1 (X_b)2 (X_c)3 + (X_a)6 + (X_a)5 (X_b)1 + (X_a)3 (X_c)3 + (X_0)1 (X_a)3 (X_c)2 + (X_a)3 (X_c)3 + (X_a)2 (X_b)1 (X_c)3 + (X_c)6 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-850

a 0 0 a 0 a
0 a a 0 a 0
b 0 0 b 0 b
0 b b 0 b 0
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b b 0 b 0
0 b a 0 b c
b 0 0 b 0 b
b 0 c b 0 a
b b b b b b
b b a b b a
0 a a 0 a 0
0 a b 0 a c
0 c c 0 c 0
0 c 0 0 c c
b a a b a b
b a b b a a
b c c b c b
b c 0 b c a
a 0 0 a 0 a
a 0 c a 0 b
a b b a b a
a b a a b b
c 0 0 c 0 c
c 0 c c 0 0
c b b c b c
c b a c b 0
a a a a a a
a a b a a b
a c c a c a
a c 0 a c b
c a a c a c
c a b c a 0
c c c c c c
c c 0 c c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 8x3 + 5x4 + 4x5 + 13x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_b)6 + (X_a)2 (X_b)4 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_a)3 (X_b)3 + (X_a)3 (X_b)3 + (X_b)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)3 (X_b)3 + (X_a)3 (X_b)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_b)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)6 + (X_a)4 (X_b)2 + (X_a)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_c)6 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-851

a 0 0 a 0 a
0 a a 0 a 0
b 0 0 b 0 b
0 b b 0 b 0
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b b 0 b 0
0 b a 0 a 0
b 0 0 b 0 b
b 0 c b c b
b b b b b b
b b a b a b
0 a a 0 a 0
0 a b 0 b 0
0 c c 0 c 0
0 c 0 0 0 0
b a a b a b
b a b b b b
b c c b c b
b c 0 b 0 b
a 0 0 a 0 a
a 0 c a c a
a b b a b a
a b a a a a
c 0 0 c 0 c
c 0 c c c c
c b b c b c
c b a c a c
a a a a a a
a a b a b a
a c c a c a
a c 0 a 0 a
c a a c a c
c a b c b c
c c c c c c
c c 0 c 0 c

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 1x2 + 8x3 + 3x4 + 3x5 + 15x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)3 (X_b)3 + (X_0)1 (X_b)3 (X_c)2 + (X_b)6 + (X_a)2 (X_b)4 + (X_0)3 (X_a)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_a)3 (X_b)3 + (X_a)1 (X_b)5 + (X_b)3 (X_c)3 + (X_0)2 (X_b)3 (X_c)1 + (X_0)3 (X_a)3 + (X_0)1 (X_a)3 (X_c)2 + (X_a)3 (X_b)3 + (X_a)5 (X_b)1 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_b)3 (X_c)3 + (X_a)2 (X_b)1 (X_c)3 + (X_a)6 + (X_a)4 (X_b)2 + (X_a)3 (X_c)3 + (X_0)2 (X_a)3 (X_c)1 + (X_a)3 (X_c)3 + (X_a)1 (X_b)2 (X_c)3 + (X_c)6 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-852

a 0 0 a 0 a
0 a a 0 a 0
b 0 0 b 0 b
0 b b 0 b 0
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b b 0 b 0
0 b a 0 a c
b 0 0 b 0 b
b 0 c b c a
b b b b b b
b b a b a a
0 a a 0 a 0
0 a b 0 b c
0 c c 0 c 0
0 c 0 0 0 c
b a a b a b
b a b b b a
b c c b c b
b c 0 b 0 a
a 0 0 a 0 a
a 0 c a c b
a b b a b a
a b a a a b
c 0 0 c 0 c
c 0 c c c 0
c b b c b c
c b a c a 0
a a a a a a
a a b a b b
a c c a c a
a c 0 a 0 b
c a a c a c
c a b c b 0
c c c c c c
c c 0 c 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 8x3 + 5x4 + 4x5 + 13x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_b)6 + (X_a)3 (X_b)3 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_a)3 (X_b)3 + (X_a)2 (X_b)4 + (X_b)3 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)3 (X_b)3 + (X_a)4 (X_b)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_b)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)6 + (X_a)3 (X_b)3 + (X_a)3 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_c)6 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-853

a 0 0 a 0 a
0 a a 0 a 0
b 0 0 b 0 b
0 b b 0 b 0
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b b 0 b 0
0 b a c b 0
b 0 0 b 0 b
b 0 c a 0 b
b b b b b b
b b a a b b
0 a a 0 a 0
0 a b c a 0
0 c c 0 c 0
0 c 0 c c 0
b a a b a b
b a b a a b
b c c b c b
b c 0 a c b
a 0 0 a 0 a
a 0 c b 0 a
a b b a b a
a b a b b a
c 0 0 c 0 c
c 0 c 0 0 c
c b b c b c
c b a 0 b c
a a a a a a
a a b b a a
a c c a c a
a c 0 b c a
c a a c a c
c a b 0 a c
c c c c c c
c c 0 0 c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 8x3 + 5x4 + 4x5 + 13x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_b)6 + (X_a)2 (X_b)4 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_a)3 (X_b)3 + (X_a)3 (X_b)3 + (X_b)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)3 (X_b)3 + (X_a)3 (X_b)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_b)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)6 + (X_a)4 (X_b)2 + (X_a)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_c)6 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-854

a 0 0 a 0 a
0 a a 0 a 0
b 0 0 b 0 b
0 b b 0 b 0
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b b 0 b 0
0 b a c b c
b 0 0 b 0 b
b 0 c a 0 a
b b b b b b
b b a a b a
0 a a 0 a 0
0 a b c a c
0 c c 0 c 0
0 c 0 c c c
b a a b a b
b a b a a a
b c c b c b
b c 0 a c a
a 0 0 a 0 a
a 0 c b 0 b
a b b a b a
a b a b b b
c 0 0 c 0 c
c 0 c 0 0 0
c b b c b c
c b a 0 b 0
a a a a a a
a a b b a b
a c c a c a
a c 0 b c b
c a a c a c
c a b 0 a 0
c c c c c c
c c 0 0 c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 8x3 + 5x4 + 4x5 + 13x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_b)6 + (X_a)3 (X_b)3 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_a)3 (X_b)3 + (X_a)4 (X_b)2 + (X_b)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)3 (X_b)3 + (X_a)2 (X_b)4 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_b)3 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)6 + (X_a)3 (X_b)3 + (X_a)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)3 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_c)6 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-855

a 0 0 a 0 a
0 a a 0 a 0
b 0 0 b 0 b
0 b b 0 b 0
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b b 0 b 0
0 b a c a 0
b 0 0 b 0 b
b 0 c a c b
b b b b b b
b b a a a b
0 a a 0 a 0
0 a b c b 0
0 c c 0 c 0
0 c 0 c 0 0
b a a b a b
b a b a b b
b c c b c b
b c 0 a 0 b
a 0 0 a 0 a
a 0 c b c a
a b b a b a
a b a b a a
c 0 0 c 0 c
c 0 c 0 c c
c b b c b c
c b a 0 a c
a a a a a a
a a b b b a
a c c a c a
a c 0 b 0 a
c a a c a c
c a b 0 b c
c c c c c c
c c 0 0 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 8x3 + 5x4 + 4x5 + 13x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_b)6 + (X_a)3 (X_b)3 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_a)3 (X_b)3 + (X_a)2 (X_b)4 + (X_b)3 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)3 (X_b)3 + (X_a)4 (X_b)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_b)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)6 + (X_a)3 (X_b)3 + (X_a)3 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_c)6 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-856

a 0 0 a 0 a
0 a a 0 a 0
b 0 0 b 0 b
0 b b 0 b 0
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b b 0 b 0
0 b a c a c
b 0 0 b 0 b
b 0 c a c a
b b b b b b
b b a a a a
0 a a 0 a 0
0 a b c b c
0 c c 0 c 0
0 c 0 c 0 c
b a a b a b
b a b a b a
b c c b c b
b c 0 a 0 a
a 0 0 a 0 a
a 0 c b c b
a b b a b a
a b a b a b
c 0 0 c 0 c
c 0 c 0 c 0
c b b c b c
c b a 0 a 0
a a a a a a
a a b b b b
a c c a c a
a c 0 b 0 b
c a a c a c
c a b 0 b 0
c c c c c c
c c 0 0 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 8x3 + 5x4 + 4x5 + 13x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)3 (X_b)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_b)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_b)6 + (X_a)4 (X_b)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_a)3 (X_b)3 + (X_a)3 (X_b)3 + (X_b)3 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_a)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)3 (X_b)3 + (X_a)3 (X_b)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_b)3 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)6 + (X_a)2 (X_b)4 + (X_a)3 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)3 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_c)6 + (X_0)4 (X_c)2

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-857

a 0 0 a 0 a
0 a a 0 a a
b 0 0 b 0 b
0 b b 0 b b
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b b 0 b b
0 b a 0 b b
b 0 0 b 0 b
b 0 c b 0 b
b b b b b 0
b b a b b 0
0 a a 0 a a
0 a b 0 a a
0 c c 0 c c
0 c 0 0 c c
b a a b a c
b a b b a c
b c c b c a
b c 0 b c a
a 0 0 a 0 a
a 0 c a 0 a
a b b a b c
a b a a b c
c 0 0 c 0 c
c 0 c c 0 c
c b b c b a
c b a c b a
a a a a a 0
a a b a a 0
a c c a c b
a c 0 a c b
c a a c a b
c a b c a b
c c c c c 0
c c 0 c c 0

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 0x2 + 4x3 + 9x4 + 7x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)2 (X_b)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)3 (X_b)3 + (X_0)2 (X_b)3 (X_c)1 + (X_0)1 (X_b)5 + (X_0)1 (X_a)1 (X_b)4 + (X_0)2 (X_a)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_a)3 (X_b)2 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)3 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_a)1 (X_b)3 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)5 + (X_0)1 (X_a)4 (X_b)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-858

a 0 0 a 0 a
0 a a 0 a a
b 0 0 b 0 b
0 b b 0 b b
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b b 0 b b
0 b a 0 b a
b 0 0 b 0 b
b 0 c b 0 a
b b b b b 0
b b a b b c
0 a a 0 a a
0 a b 0 a b
0 c c 0 c c
0 c 0 0 c 0
b a a b a c
b a b b a 0
b c c b c a
b c 0 b c b
a 0 0 a 0 a
a 0 c a 0 b
a b b a b c
a b a a b 0
c 0 0 c 0 c
c 0 c c 0 0
c b b c b a
c b a c b b
a a a a a 0
a a b a a c
a c c a c b
a c 0 a c a
c a a c a b
c a b c a a
c c c c c 0
c c 0 c c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 2x2 + 4x3 + 7x4 + 8x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_b)5 + (X_a)1 (X_b)4 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_a)1 (X_b)3 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)5 + (X_a)4 (X_b)1 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)3 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-859

a 0 0 a 0 a
0 a a 0 a a
b 0 0 b 0 b
0 b b 0 b b
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b b 0 b b
0 b a 0 a b
b 0 0 b 0 b
b 0 c b c b
b b b b b 0
b b a b a 0
0 a a 0 a a
0 a b 0 b a
0 c c 0 c c
0 c 0 0 0 c
b a a b a c
b a b b b c
b c c b c a
b c 0 b 0 a
a 0 0 a 0 a
a 0 c a c a
a b b a b c
a b a a a c
c 0 0 c 0 c
c 0 c c c c
c b b c b a
c b a c a a
a a a a a 0
a a b a b 0
a c c a c b
a c 0 a 0 b
c a a c a b
c a b c b b
c c c c c 0
c c 0 c 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 2x2 + 4x3 + 7x4 + 8x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)3 (X_b)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)1 (X_b)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_a)3 (X_b)2 (X_c)1 + (X_a)1 (X_b)4 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)1 (X_a)3 (X_c)2 + (X_a)2 (X_b)3 (X_c)1 + (X_a)4 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_a)1 (X_b)3 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)5 + (X_0)1 (X_a)3 (X_b)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-860

a 0 0 a 0 a
0 a a 0 a a
b 0 0 b 0 b
0 b b 0 b b
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b b 0 b b
0 b a 0 a a
b 0 0 b 0 b
b 0 c b c a
b b b b b 0
b b a b a c
0 a a 0 a a
0 a b 0 b b
0 c c 0 c c
0 c 0 0 0 0
b a a b a c
b a b b b 0
b c c b c a
b c 0 b 0 b
a 0 0 a 0 a
a 0 c a c b
a b b a b c
a b a a a 0
c 0 0 c 0 c
c 0 c c c 0
c b b c b a
c b a c a b
a a a a a 0
a a b a b c
a c c a c b
a c 0 a 0 a
c a a c a b
c a b c b a
c c c c c 0
c c 0 c 0 c

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 0x2 + 4x3 + 9x4 + 7x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)2 (X_b)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_b)5 + (X_a)2 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)4 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_b)3 (X_c)1 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)4 (X_b)1 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_a)1 (X_b)3 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)5 + (X_a)3 (X_b)2 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)3 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-861

a 0 0 a 0 a
0 a a 0 a a
b 0 0 b 0 b
0 b b 0 b b
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b b 0 b b
0 b a c b b
b 0 0 b 0 b
b 0 c a 0 b
b b b b b 0
b b a a b 0
0 a a 0 a a
0 a b c a a
0 c c 0 c c
0 c 0 c c c
b a a b a c
b a b a a c
b c c b c a
b c 0 a c a
a 0 0 a 0 a
a 0 c b 0 a
a b b a b c
a b a b b c
c 0 0 c 0 c
c 0 c 0 0 c
c b b c b a
c b a 0 b a
a a a a a 0
a a b b a 0
a c c a c b
a c 0 b c b
c a a c a b
c a b 0 a b
c c c c c 0
c c 0 0 c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 5x3 + 6x4 + 11x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_b)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_a)3 (X_b)2 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)3 (X_b)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-862

a 0 0 a 0 a
0 a a 0 a a
b 0 0 b 0 b
0 b b 0 b b
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b b 0 b b
0 b a c b a
b 0 0 b 0 b
b 0 c a 0 a
b b b b b 0
b b a a b c
0 a a 0 a a
0 a b c a b
0 c c 0 c c
0 c 0 c c 0
b a a b a c
b a b a a 0
b c c b c a
b c 0 a c b
a 0 0 a 0 a
a 0 c b 0 b
a b b a b c
a b a b b 0
c 0 0 c 0 c
c 0 c 0 0 0
c b b c b a
c b a 0 b b
a a a a a 0
a a b b a c
a c c a c b
a c 0 b c a
c a a c a b
c a b 0 a a
c c c c c 0
c c 0 0 c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 5x3 + 6x4 + 11x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_b)5 + (X_a)2 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)5 + (X_a)3 (X_b)2 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-863

a 0 0 a 0 a
0 a a 0 a a
b 0 0 b 0 b
0 b b 0 b b
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b b 0 b b
0 b a c a b
b 0 0 b 0 b
b 0 c a c b
b b b b b 0
b b a a a 0
0 a a 0 a a
0 a b c b a
0 c c 0 c c
0 c 0 c 0 c
b a a b a c
b a b a b c
b c c b c a
b c 0 a 0 a
a 0 0 a 0 a
a 0 c b c a
a b b a b c
a b a b a c
c 0 0 c 0 c
c 0 c 0 c c
c b b c b a
c b a 0 a a
a a a a a 0
a a b b b 0
a c c a c b
a c 0 b 0 b
c a a c a b
c a b 0 b b
c c c c c 0
c c 0 0 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 5x3 + 6x4 + 11x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_b)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_a)3 (X_b)2 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)2 (X_b)3 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)2 (X_b)3 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-864

a 0 0 a 0 a
0 a a 0 a a
b 0 0 b 0 b
0 b b 0 b b
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b b 0 b b
0 b a c a a
b 0 0 b 0 b
b 0 c a c a
b b b b b 0
b b a a a c
0 a a 0 a a
0 a b c b b
0 c c 0 c c
0 c 0 c 0 0
b a a b a c
b a b a b 0
b c c b c a
b c 0 a 0 b
a 0 0 a 0 a
a 0 c b c b
a b b a b c
a b a b a 0
c 0 0 c 0 c
c 0 c 0 c 0
c b b c b a
c b a 0 a b
a a a a a 0
a a b b b c
a c c a c b
a c 0 b 0 a
c a a c a b
c a b 0 b a
c c c c c 0
c c 0 0 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 5x3 + 6x4 + 11x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)2 (X_b)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)3 (X_b)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_b)5 + (X_a)3 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)5 + (X_a)2 (X_b)3 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-865

a 0 0 a 0 a
0 a a a 0 0
b 0 0 b 0 b
0 b b b 0 0
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b b b 0 0
0 b a b 0 0
b 0 0 b 0 b
b 0 c b 0 b
b b b 0 0 b
b b a 0 0 b
0 a a a 0 0
0 a b a 0 0
0 c c c 0 0
0 c 0 c 0 0
b a a c 0 b
b a b c 0 b
b c c a 0 b
b c 0 a 0 b
a 0 0 a 0 a
a 0 c a 0 a
a b b c 0 a
a b a c 0 a
c 0 0 c 0 c
c 0 c c 0 c
c b b a 0 c
c b a a 0 c
a a a 0 0 a
a a b 0 0 a
a c c b 0 a
a c 0 b 0 a
c a a b 0 c
c a b b 0 c
c c c 0 0 c
c c 0 0 0 c

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 1x2 + 9x3 + 10x4 + 10x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)3 (X_b)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)3 (X_b)3 + (X_0)2 (X_b)3 (X_c)1 + (X_0)2 (X_b)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)3 (X_a)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0

Is it a nice code?: No

Generator Matrix-866

a 0 0 a 0 a
0 a a a 0 0
b 0 0 b 0 b
0 b b b 0 0
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b b b 0 0
0 b a b 0 c
b 0 0 b 0 b
b 0 c b 0 a
b b b 0 0 b
b b a 0 0 a
0 a a a 0 0
0 a b a 0 c
0 c c c 0 0
0 c 0 c 0 c
b a a c 0 b
b a b c 0 a
b c c a 0 b
b c 0 a 0 a
a 0 0 a 0 a
a 0 c a 0 b
a b b c 0 a
a b a c 0 b
c 0 0 c 0 c
c 0 c c 0 0
c b b a 0 c
c b a a 0 0
a a a 0 0 a
a a b 0 0 b
a c c b 0 a
a c 0 b 0 b
c a a b 0 c
c a b b 0 0
c c c 0 0 c
c c 0 0 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 2x2 + 8x3 + 13x4 + 8x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0

Is it a nice code?: No

Generator Matrix-867

a 0 0 a 0 a
0 a a a 0 0
b 0 0 b 0 b
0 b b b 0 0
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b b b 0 0
0 b a b c 0
b 0 0 b 0 b
b 0 c b c b
b b b 0 0 b
b b a 0 c b
0 a a a 0 0
0 a b a c 0
0 c c c 0 0
0 c 0 c c 0
b a a c 0 b
b a b c c b
b c c a 0 b
b c 0 a c b
a 0 0 a 0 a
a 0 c a c a
a b b c 0 a
a b a c c a
c 0 0 c 0 c
c 0 c c c c
c b b a 0 c
c b a a c c
a a a 0 0 a
a a b 0 c a
a c c b 0 a
a c 0 b c a
c a a b 0 c
c a b b c c
c c c 0 0 c
c c 0 0 c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 7x3 + 6x4 + 13x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_b)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0

Is it a nice code?: No

Generator Matrix-868

a 0 0 a 0 a
0 a a a 0 0
b 0 0 b 0 b
0 b b b 0 0
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b b b 0 0
0 b a b c c
b 0 0 b 0 b
b 0 c b c a
b b b 0 0 b
b b a 0 c a
0 a a a 0 0
0 a b a c c
0 c c c 0 0
0 c 0 c c c
b a a c 0 b
b a b c c a
b c c a 0 b
b c 0 a c a
a 0 0 a 0 a
a 0 c a c b
a b b c 0 a
a b a c c b
c 0 0 c 0 c
c 0 c c c 0
c b b a 0 c
c b a a c 0
a a a 0 0 a
a a b 0 c b
a c c b 0 a
a c 0 b c b
c a a b 0 c
c a b b c 0
c c c 0 0 c
c c 0 0 c 0

dmin: 3
Weight Enumerator: 1x0 + 0x1 + 0x2 + 8x3 + 5x4 + 16x5 + 2x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0

Is it a nice code?: No

Generator Matrix-869

a 0 0 a 0 a
0 a a a 0 0
b 0 0 b 0 b
0 b b b 0 0
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b b b 0 0
0 b a a 0 0
b 0 0 b 0 b
b 0 c a 0 b
b b b 0 0 b
b b a c 0 b
0 a a a 0 0
0 a b b 0 0
0 c c c 0 0
0 c 0 0 0 0
b a a c 0 b
b a b 0 0 b
b c c a 0 b
b c 0 b 0 b
a 0 0 a 0 a
a 0 c b 0 a
a b b c 0 a
a b a 0 0 a
c 0 0 c 0 c
c 0 c 0 0 c
c b b a 0 c
c b a b 0 c
a a a 0 0 a
a a b c 0 a
a c c b 0 a
a c 0 a 0 a
c a a b 0 c
c a b a 0 c
c c c 0 0 c
c c 0 c 0 c

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 1x2 + 9x3 + 10x4 + 10x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)3 (X_a)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_b)3 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)3 (X_b)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0

Is it a nice code?: No

Generator Matrix-870

a 0 0 a 0 a
0 a a a 0 0
b 0 0 b 0 b
0 b b b 0 0
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b b b 0 0
0 b a a 0 c
b 0 0 b 0 b
b 0 c a 0 a
b b b 0 0 b
b b a c 0 a
0 a a a 0 0
0 a b b 0 c
0 c c c 0 0
0 c 0 0 0 c
b a a c 0 b
b a b 0 0 a
b c c a 0 b
b c 0 b 0 a
a 0 0 a 0 a
a 0 c b 0 b
a b b c 0 a
a b a 0 0 b
c 0 0 c 0 c
c 0 c 0 0 0
c b b a 0 c
c b a b 0 0
a a a 0 0 a
a a b c 0 b
a c c b 0 a
a c 0 a 0 b
c a a b 0 c
c a b a 0 0
c c c 0 0 c
c c 0 c 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 2x2 + 8x3 + 13x4 + 8x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0

Is it a nice code?: No

Generator Matrix-871

a 0 0 a 0 a
0 a a a 0 0
b 0 0 b 0 b
0 b b b 0 0
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b b b 0 0
0 b a a c 0
b 0 0 b 0 b
b 0 c a c b
b b b 0 0 b
b b a c c b
0 a a a 0 0
0 a b b c 0
0 c c c 0 0
0 c 0 0 c 0
b a a c 0 b
b a b 0 c b
b c c a 0 b
b c 0 b c b
a 0 0 a 0 a
a 0 c b c a
a b b c 0 a
a b a 0 c a
c 0 0 c 0 c
c 0 c 0 c c
c b b a 0 c
c b a b c c
a a a 0 0 a
a a b c c a
a c c b 0 a
a c 0 a c a
c a a b 0 c
c a b a c c
c c c 0 0 c
c c 0 c c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 7x3 + 6x4 + 13x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_b)4 + (X_a)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)4 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0

Is it a nice code?: No

Generator Matrix-872

a 0 0 a 0 a
0 a a a 0 0
b 0 0 b 0 b
0 b b b 0 0
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b b b 0 0
0 b a a c c
b 0 0 b 0 b
b 0 c a c a
b b b 0 0 b
b b a c c a
0 a a a 0 0
0 a b b c c
0 c c c 0 0
0 c 0 0 c c
b a a c 0 b
b a b 0 c a
b c c a 0 b
b c 0 b c a
a 0 0 a 0 a
a 0 c b c b
a b b c 0 a
a b a 0 c b
c 0 0 c 0 c
c 0 c 0 c 0
c b b a 0 c
c b a b c 0
a a a 0 0 a
a a b c c b
a c c b 0 a
a c 0 a c b
c a a b 0 c
c a b a c 0
c c c 0 0 c
c c 0 c c 0

dmin: 3
Weight Enumerator: 1x0 + 0x1 + 0x2 + 8x3 + 5x4 + 16x5 + 2x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)3 (X_b)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_b)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_b)4 + (X_a)2 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0

Is it a nice code?: No

Generator Matrix-873

a 0 0 a 0 a
0 a a a 0 a
b 0 0 b 0 b
0 b b b 0 b
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b b b 0 b
0 b a b 0 b
b 0 0 b 0 b
b 0 c b 0 b
b b b 0 0 0
b b a 0 0 0
0 a a a 0 a
0 a b a 0 a
0 c c c 0 c
0 c 0 c 0 c
b a a c 0 c
b a b c 0 c
b c c a 0 a
b c 0 a 0 a
a 0 0 a 0 a
a 0 c a 0 a
a b b c 0 c
a b a c 0 c
c 0 0 c 0 c
c 0 c c 0 c
c b b a 0 a
c b a a 0 a
a a a 0 0 0
a a b 0 0 0
a c c b 0 b
a c 0 b 0 b
c a a b 0 b
c a b b 0 b
c c c 0 0 0
c c 0 0 0 0

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 1x2 + 9x3 + 10x4 + 10x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)2 (X_b)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)3 (X_b)3 + (X_0)2 (X_b)3 (X_c)1 + (X_0)3 (X_b)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)2 (X_a)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)3 (X_a)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0

Is it a nice code?: No

Generator Matrix-874

a 0 0 a 0 a
0 a a a 0 a
b 0 0 b 0 b
0 b b b 0 b
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b b b 0 b
0 b a b 0 a
b 0 0 b 0 b
b 0 c b 0 a
b b b 0 0 0
b b a 0 0 c
0 a a a 0 a
0 a b a 0 b
0 c c c 0 c
0 c 0 c 0 0
b a a c 0 c
b a b c 0 0
b c c a 0 a
b c 0 a 0 b
a 0 0 a 0 a
a 0 c a 0 b
a b b c 0 c
a b a c 0 0
c 0 0 c 0 c
c 0 c c 0 0
c b b a 0 a
c b a a 0 b
a a a 0 0 0
a a b 0 0 c
a c c b 0 b
a c 0 b 0 a
c a a b 0 b
c a b b 0 a
c c c 0 0 0
c c 0 0 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 2x2 + 8x3 + 13x4 + 8x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0

Is it a nice code?: No

Generator Matrix-875

a 0 0 a 0 a
0 a a a 0 a
b 0 0 b 0 b
0 b b b 0 b
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b b b 0 b
0 b a b c b
b 0 0 b 0 b
b 0 c b c b
b b b 0 0 0
b b a 0 c 0
0 a a a 0 a
0 a b a c a
0 c c c 0 c
0 c 0 c c c
b a a c 0 c
b a b c c c
b c c a 0 a
b c 0 a c a
a 0 0 a 0 a
a 0 c a c a
a b b c 0 c
a b a c c c
c 0 0 c 0 c
c 0 c c c c
c b b a 0 a
c b a a c a
a a a 0 0 0
a a b 0 c 0
a c c b 0 b
a c 0 b c b
c a a b 0 b
c a b b c b
c c c 0 0 0
c c 0 0 c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 7x3 + 6x4 + 13x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)3 (X_b)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0

Is it a nice code?: No

Generator Matrix-876

a 0 0 a 0 a
0 a a a 0 a
b 0 0 b 0 b
0 b b b 0 b
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b b b 0 b
0 b a b c a
b 0 0 b 0 b
b 0 c b c a
b b b 0 0 0
b b a 0 c c
0 a a a 0 a
0 a b a c b
0 c c c 0 c
0 c 0 c c 0
b a a c 0 c
b a b c c 0
b c c a 0 a
b c 0 a c b
a 0 0 a 0 a
a 0 c a c b
a b b c 0 c
a b a c c 0
c 0 0 c 0 c
c 0 c c c 0
c b b a 0 a
c b a a c b
a a a 0 0 0
a a b 0 c c
a c c b 0 b
a c 0 b c a
c a a b 0 b
c a b b c a
c c c 0 0 0
c c 0 0 c c

dmin: 3
Weight Enumerator: 1x0 + 0x1 + 0x2 + 8x3 + 5x4 + 16x5 + 2x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0

Is it a nice code?: No

Generator Matrix-877

a 0 0 a 0 a
0 a a a 0 a
b 0 0 b 0 b
0 b b b 0 b
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b b b 0 b
0 b a a 0 b
b 0 0 b 0 b
b 0 c a 0 b
b b b 0 0 0
b b a c 0 0
0 a a a 0 a
0 a b b 0 a
0 c c c 0 c
0 c 0 0 0 c
b a a c 0 c
b a b 0 0 c
b c c a 0 a
b c 0 b 0 a
a 0 0 a 0 a
a 0 c b 0 a
a b b c 0 c
a b a 0 0 c
c 0 0 c 0 c
c 0 c 0 0 c
c b b a 0 a
c b a b 0 a
a a a 0 0 0
a a b c 0 0
a c c b 0 b
a c 0 a 0 b
c a a b 0 b
c a b a 0 b
c c c 0 0 0
c c 0 c 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 2x2 + 8x3 + 13x4 + 8x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0

Is it a nice code?: No

Generator Matrix-878

a 0 0 a 0 a
0 a a a 0 a
b 0 0 b 0 b
0 b b b 0 b
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b b b 0 b
0 b a a 0 a
b 0 0 b 0 b
b 0 c a 0 a
b b b 0 0 0
b b a c 0 c
0 a a a 0 a
0 a b b 0 b
0 c c c 0 c
0 c 0 0 0 0
b a a c 0 c
b a b 0 0 0
b c c a 0 a
b c 0 b 0 b
a 0 0 a 0 a
a 0 c b 0 b
a b b c 0 c
a b a 0 0 0
c 0 0 c 0 c
c 0 c 0 0 0
c b b a 0 a
c b a b 0 b
a a a 0 0 0
a a b c 0 c
a c c b 0 b
a c 0 a 0 a
c a a b 0 b
c a b a 0 a
c c c 0 0 0
c c 0 c 0 c

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 1x2 + 9x3 + 10x4 + 10x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)2 (X_b)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)1 (X_b)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_b)3 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)2 (X_b)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0

Is it a nice code?: No

Generator Matrix-879

a 0 0 a 0 a
0 a a a 0 a
b 0 0 b 0 b
0 b b b 0 b
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b b b 0 b
0 b a a c b
b 0 0 b 0 b
b 0 c a c b
b b b 0 0 0
b b a c c 0
0 a a a 0 a
0 a b b c a
0 c c c 0 c
0 c 0 0 c c
b a a c 0 c
b a b 0 c c
b c c a 0 a
b c 0 b c a
a 0 0 a 0 a
a 0 c b c a
a b b c 0 c
a b a 0 c c
c 0 0 c 0 c
c 0 c 0 c c
c b b a 0 a
c b a b c a
a a a 0 0 0
a a b c c 0
a c c b 0 b
a c 0 a c b
c a a b 0 b
c a b a c b
c c c 0 0 0
c c 0 c c 0

dmin: 3
Weight Enumerator: 1x0 + 0x1 + 0x2 + 8x3 + 5x4 + 16x5 + 2x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0

Is it a nice code?: No

Generator Matrix-880

a 0 0 a 0 a
0 a a a 0 a
b 0 0 b 0 b
0 b b b 0 b
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b b b 0 b
0 b a a c a
b 0 0 b 0 b
b 0 c a c a
b b b 0 0 0
b b a c c c
0 a a a 0 a
0 a b b c b
0 c c c 0 c
0 c 0 0 c 0
b a a c 0 c
b a b 0 c 0
b c c a 0 a
b c 0 b c b
a 0 0 a 0 a
a 0 c b c b
a b b c 0 c
a b a 0 c 0
c 0 0 c 0 c
c 0 c 0 c 0
c b b a 0 a
c b a b c b
a a a 0 0 0
a a b c c c
a c c b 0 b
a c 0 a c a
c a a b 0 b
c a b a c a
c c c 0 0 0
c c 0 c c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 7x3 + 6x4 + 13x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)2 (X_b)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)3 (X_b)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_b)3 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0

Is it a nice code?: No

Generator Matrix-881

a 0 0 a 0 a
0 a a a a 0
b 0 0 b 0 b
0 b b b b 0
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b b b b 0
0 b a b b 0
b 0 0 b 0 b
b 0 c b 0 b
b b b 0 b b
b b a 0 b b
0 a a a a 0
0 a b a a 0
0 c c c c 0
0 c 0 c c 0
b a a c a b
b a b c a b
b c c a c b
b c 0 a c b
a 0 0 a 0 a
a 0 c a 0 a
a b b c b a
a b a c b a
c 0 0 c 0 c
c 0 c c 0 c
c b b a b c
c b a a b c
a a a 0 a a
a a b 0 a a
a c c b c a
a c 0 b c a
c a a b a c
c a b b a c
c c c 0 c c
c c 0 0 c c

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 0x2 + 4x3 + 9x4 + 7x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)2 (X_b)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)3 (X_b)3 + (X_0)2 (X_b)3 (X_c)1 + (X_0)1 (X_b)5 + (X_0)1 (X_a)1 (X_b)4 + (X_0)2 (X_a)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_a)3 (X_b)2 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)3 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_a)1 (X_b)3 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)5 + (X_0)1 (X_a)4 (X_b)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-882

a 0 0 a 0 a
0 a a a a 0
b 0 0 b 0 b
0 b b b b 0
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b b b b 0
0 b a b b c
b 0 0 b 0 b
b 0 c b 0 a
b b b 0 b b
b b a 0 b a
0 a a a a 0
0 a b a a c
0 c c c c 0
0 c 0 c c c
b a a c a b
b a b c a a
b c c a c b
b c 0 a c a
a 0 0 a 0 a
a 0 c a 0 b
a b b c b a
a b a c b b
c 0 0 c 0 c
c 0 c c 0 0
c b b a b c
c b a a b 0
a a a 0 a a
a a b 0 a b
a c c b c a
a c 0 b c b
c a a b a c
c a b b a 0
c c c 0 c c
c c 0 0 c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 5x3 + 6x4 + 11x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_b)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_a)3 (X_b)2 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)3 (X_b)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-883

a 0 0 a 0 a
0 a a a a 0
b 0 0 b 0 b
0 b b b b 0
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b b b b 0
0 b a b a 0
b 0 0 b 0 b
b 0 c b c b
b b b 0 b b
b b a 0 a b
0 a a a a 0
0 a b a b 0
0 c c c c 0
0 c 0 c 0 0
b a a c a b
b a b c b b
b c c a c b
b c 0 a 0 b
a 0 0 a 0 a
a 0 c a c a
a b b c b a
a b a c a a
c 0 0 c 0 c
c 0 c c c c
c b b a b c
c b a a a c
a a a 0 a a
a a b 0 b a
a c c b c a
a c 0 b 0 a
c a a b a c
c a b b b c
c c c 0 c c
c c 0 0 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 2x2 + 4x3 + 7x4 + 8x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)3 (X_b)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)1 (X_b)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_a)3 (X_b)2 (X_c)1 + (X_a)1 (X_b)4 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)1 (X_a)3 (X_c)2 + (X_a)2 (X_b)3 (X_c)1 + (X_a)4 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_a)1 (X_b)3 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)5 + (X_0)1 (X_a)3 (X_b)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-884

a 0 0 a 0 a
0 a a a a 0
b 0 0 b 0 b
0 b b b b 0
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b b b b 0
0 b a b a c
b 0 0 b 0 b
b 0 c b c a
b b b 0 b b
b b a 0 a a
0 a a a a 0
0 a b a b c
0 c c c c 0
0 c 0 c 0 c
b a a c a b
b a b c b a
b c c a c b
b c 0 a 0 a
a 0 0 a 0 a
a 0 c a c b
a b b c b a
a b a c a b
c 0 0 c 0 c
c 0 c c c 0
c b b a b c
c b a a a 0
a a a 0 a a
a a b 0 b b
a c c b c a
a c 0 b 0 b
c a a b a c
c a b b b 0
c c c 0 c c
c c 0 0 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 5x3 + 6x4 + 11x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_b)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_a)3 (X_b)2 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)2 (X_b)3 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)2 (X_b)3 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-885

a 0 0 a 0 a
0 a a a a 0
b 0 0 b 0 b
0 b b b b 0
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b b b b 0
0 b a a b 0
b 0 0 b 0 b
b 0 c a 0 b
b b b 0 b b
b b a c b b
0 a a a a 0
0 a b b a 0
0 c c c c 0
0 c 0 0 c 0
b a a c a b
b a b 0 a b
b c c a c b
b c 0 b c b
a 0 0 a 0 a
a 0 c b 0 a
a b b c b a
a b a 0 b a
c 0 0 c 0 c
c 0 c 0 0 c
c b b a b c
c b a b b c
a a a 0 a a
a a b c a a
a c c b c a
a c 0 a c a
c a a b a c
c a b a a c
c c c 0 c c
c c 0 c c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 2x2 + 4x3 + 7x4 + 8x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_b)5 + (X_a)1 (X_b)4 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_a)1 (X_b)3 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)5 + (X_a)4 (X_b)1 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)3 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-886

a 0 0 a 0 a
0 a a a a 0
b 0 0 b 0 b
0 b b b b 0
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b b b b 0
0 b a a b c
b 0 0 b 0 b
b 0 c a 0 a
b b b 0 b b
b b a c b a
0 a a a a 0
0 a b b a c
0 c c c c 0
0 c 0 0 c c
b a a c a b
b a b 0 a a
b c c a c b
b c 0 b c a
a 0 0 a 0 a
a 0 c b 0 b
a b b c b a
a b a 0 b b
c 0 0 c 0 c
c 0 c 0 0 0
c b b a b c
c b a b b 0
a a a 0 a a
a a b c a b
a c c b c a
a c 0 a c b
c a a b a c
c a b a a 0
c c c 0 c c
c c 0 c c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 5x3 + 6x4 + 11x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_b)5 + (X_a)2 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)5 + (X_a)3 (X_b)2 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-887

a 0 0 a 0 a
0 a a a a 0
b 0 0 b 0 b
0 b b b b 0
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b b b b 0
0 b a a a 0
b 0 0 b 0 b
b 0 c a c b
b b b 0 b b
b b a c a b
0 a a a a 0
0 a b b b 0
0 c c c c 0
0 c 0 0 0 0
b a a c a b
b a b 0 b b
b c c a c b
b c 0 b 0 b
a 0 0 a 0 a
a 0 c b c a
a b b c b a
a b a 0 a a
c 0 0 c 0 c
c 0 c 0 c c
c b b a b c
c b a b a c
a a a 0 a a
a a b c b a
a c c b c a
a c 0 a 0 a
c a a b a c
c a b a b c
c c c 0 c c
c c 0 c 0 c

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 0x2 + 4x3 + 9x4 + 7x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)2 (X_b)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_b)5 + (X_a)2 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)4 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_b)3 (X_c)1 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)4 (X_b)1 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_a)1 (X_b)3 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)5 + (X_a)3 (X_b)2 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)3 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-888

a 0 0 a 0 a
0 a a a a 0
b 0 0 b 0 b
0 b b b b 0
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b b b b 0
0 b a a a c
b 0 0 b 0 b
b 0 c a c a
b b b 0 b b
b b a c a a
0 a a a a 0
0 a b b b c
0 c c c c 0
0 c 0 0 0 c
b a a c a b
b a b 0 b a
b c c a c b
b c 0 b 0 a
a 0 0 a 0 a
a 0 c b c b
a b b c b a
a b a 0 a b
c 0 0 c 0 c
c 0 c 0 c 0
c b b a b c
c b a b a 0
a a a 0 a a
a a b c b b
a c c b c a
a c 0 a 0 b
c a a b a c
c a b a b 0
c c c 0 c c
c c 0 c 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 5x3 + 6x4 + 11x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)2 (X_b)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)3 (X_b)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_b)5 + (X_a)3 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)5 + (X_a)2 (X_b)3 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-889

a 0 0 a 0 a
0 a a a a a
b 0 0 b 0 b
0 b b b b b
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b b b b b
0 b a b b b
b 0 0 b 0 b
b 0 c b 0 b
b b b 0 b 0
b b a 0 b 0
0 a a a a a
0 a b a a a
0 c c c c c
0 c 0 c c c
b a a c a c
b a b c a c
b c c a c a
b c 0 a c a
a 0 0 a 0 a
a 0 c a 0 a
a b b c b c
a b a c b c
c 0 0 c 0 c
c 0 c c 0 c
c b b a b a
c b a a b a
a a a 0 a 0
a a b 0 a 0
a c c b c b
a c 0 b c b
c a a b a b
c a b b a b
c c c 0 c 0
c c 0 0 c 0

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 0x2 + 4x3 + 9x4 + 7x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)1 (X_b)5 + (X_0)1 (X_a)1 (X_b)4 + (X_0)3 (X_b)3 + (X_0)2 (X_b)3 (X_c)1 + (X_0)2 (X_b)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)5 + (X_0)1 (X_a)4 (X_b)1 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_a)3 (X_b)1 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)3 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_a)2 (X_b)3 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)3 (X_b)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)3 (X_b)2 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-890

a 0 0 a 0 a
0 a a a a a
b 0 0 b 0 b
0 b b b b b
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b b b b b
0 b a b b a
b 0 0 b 0 b
b 0 c b 0 a
b b b 0 b 0
b b a 0 b c
0 a a a a a
0 a b a a b
0 c c c c c
0 c 0 c c 0
b a a c a c
b a b c a 0
b c c a c a
b c 0 a c b
a 0 0 a 0 a
a 0 c a 0 b
a b b c b c
a b a c b 0
c 0 0 c 0 c
c 0 c c 0 0
c b b a b a
c b a a b b
a a a 0 a 0
a a b 0 a c
a c c b c b
a c 0 b c a
c a a b a b
c a b b a a
c c c 0 c 0
c c 0 0 c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 5x3 + 6x4 + 11x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)1 (X_b)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_a)2 (X_b)3 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)3 (X_b)2 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-891

a 0 0 a 0 a
0 a a a a a
b 0 0 b 0 b
0 b b b b b
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b b b b b
0 b a b a b
b 0 0 b 0 b
b 0 c b c b
b b b 0 b 0
b b a 0 a 0
0 a a a a a
0 a b a b a
0 c c c c c
0 c 0 c 0 c
b a a c a c
b a b c b c
b c c a c a
b c 0 a 0 a
a 0 0 a 0 a
a 0 c a c a
a b b c b c
a b a c a c
c 0 0 c 0 c
c 0 c c c c
c b b a b a
c b a a a a
a a a 0 a 0
a a b 0 b 0
a c c b c b
a c 0 b 0 b
c a a b a b
c a b b b b
c c c 0 c 0
c c 0 0 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 2x2 + 4x3 + 7x4 + 8x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)1 (X_b)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)3 (X_b)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_a)3 (X_b)1 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_a)3 + (X_0)1 (X_a)3 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_a)2 (X_b)3 (X_c)1 + (X_a)4 (X_b)1 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)1 (X_b)4 (X_c)1 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-892

a 0 0 a 0 a
0 a a a a a
b 0 0 b 0 b
0 b b b b b
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b b b b b
0 b a b a a
b 0 0 b 0 b
b 0 c b c a
b b b 0 b 0
b b a 0 a c
0 a a a a a
0 a b a b b
0 c c c c c
0 c 0 c 0 0
b a a c a c
b a b c b 0
b c c a c a
b c 0 a 0 b
a 0 0 a 0 a
a 0 c a c b
a b b c b c
a b a c a 0
c 0 0 c 0 c
c 0 c c c 0
c b b a b a
c b a a a b
a a a 0 a 0
a a b 0 b c
a c c b c b
a c 0 b 0 a
c a a b a b
c a b b b a
c c c 0 c 0
c c 0 0 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 5x3 + 6x4 + 11x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)1 (X_b)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_a)2 (X_b)3 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-893

a 0 0 a 0 a
0 a a a a a
b 0 0 b 0 b
0 b b b b b
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b b b b b
0 b a a b b
b 0 0 b 0 b
b 0 c a 0 b
b b b 0 b 0
b b a c b 0
0 a a a a a
0 a b b a a
0 c c c c c
0 c 0 0 c c
b a a c a c
b a b 0 a c
b c c a c a
b c 0 b c a
a 0 0 a 0 a
a 0 c b 0 a
a b b c b c
a b a 0 b c
c 0 0 c 0 c
c 0 c 0 0 c
c b b a b a
c b a b b a
a a a 0 a 0
a a b c a 0
a c c b c b
a c 0 a c b
c a a b a b
c a b a a b
c c c 0 c 0
c c 0 c c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 5x3 + 6x4 + 11x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)1 (X_b)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_a)2 (X_b)3 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)3 (X_b)2 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-894

a 0 0 a 0 a
0 a a a a a
b 0 0 b 0 b
0 b b b b b
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b b b b b
0 b a a b a
b 0 0 b 0 b
b 0 c a 0 a
b b b 0 b 0
b b a c b c
0 a a a a a
0 a b b a b
0 c c c c c
0 c 0 0 c 0
b a a c a c
b a b 0 a 0
b c c a c a
b c 0 b c b
a 0 0 a 0 a
a 0 c b 0 b
a b b c b c
a b a 0 b 0
c 0 0 c 0 c
c 0 c 0 0 0
c b b a b a
c b a b b b
a a a 0 a 0
a a b c a c
a c c b c b
a c 0 a c a
c a a b a b
c a b a a a
c c c 0 c 0
c c 0 c c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 2x2 + 4x3 + 7x4 + 8x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)1 (X_b)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_b)4 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_a)2 (X_b)3 (X_c)1 + (X_a)1 (X_b)4 (X_c)1 + (X_0)2 (X_a)4 + (X_a)3 (X_b)1 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)3 (X_c)2 + (X_a)3 (X_b)2 (X_c)1 + (X_a)4 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-895

a 0 0 a 0 a
0 a a a a a
b 0 0 b 0 b
0 b b b b b
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b b b b b
0 b a a a b
b 0 0 b 0 b
b 0 c a c b
b b b 0 b 0
b b a c a 0
0 a a a a a
0 a b b b a
0 c c c c c
0 c 0 0 0 c
b a a c a c
b a b 0 b c
b c c a c a
b c 0 b 0 a
a 0 0 a 0 a
a 0 c b c a
a b b c b c
a b a 0 a c
c 0 0 c 0 c
c 0 c 0 c c
c b b a b a
c b a b a a
a a a 0 a 0
a a b c b 0
a c c b c b
a c 0 a 0 b
c a a b a b
c a b a b b
c c c 0 c 0
c c 0 c 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 5x3 + 6x4 + 11x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)1 (X_b)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_a)2 (X_b)3 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-896

a 0 0 a 0 a
0 a a a a a
b 0 0 b 0 b
0 b b b b b
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b b b b b
0 b a a a a
b 0 0 b 0 b
b 0 c a c a
b b b 0 b 0
b b a c a c
0 a a a a a
0 a b b b b
0 c c c c c
0 c 0 0 0 0
b a a c a c
b a b 0 b 0
b c c a c a
b c 0 b 0 b
a 0 0 a 0 a
a 0 c b c b
a b b c b c
a b a 0 a 0
c 0 0 c 0 c
c 0 c 0 c 0
c b b a b a
c b a b a b
a a a 0 a 0
a a b c b c
a c c b c b
a c 0 a 0 a
c a a b a b
c a b a b a
c c c 0 c 0
c c 0 c 0 c

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 0x2 + 4x3 + 9x4 + 7x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)1 (X_b)5 + (X_0)1 (X_a)4 (X_b)1 + (X_0)3 (X_b)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_b)4 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)5 + (X_0)1 (X_a)1 (X_b)4 + (X_0)1 (X_c)5 + (X_0)5 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)3 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_b)3 (X_c)1 + (X_0)3 (X_a)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)3 (X_b)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_a)2 (X_b)3 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_a)2 (X_b)2 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)3 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-897

a 0 0 a a 0
0 a a 0 0 0
b 0 0 b b 0
0 b b 0 0 0
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b b 0 0 0
0 b a 0 0 0
b 0 0 b b 0
b 0 c b b 0
b b b b b 0
b b a b b 0
0 a a 0 0 0
0 a b 0 0 0
0 c c 0 0 0
0 c 0 0 0 0
b a a b b 0
b a b b b 0
b c c b b 0
b c 0 b b 0
a 0 0 a a 0
a 0 c a a 0
a b b a a 0
a b a a a 0
c 0 0 c c 0
c 0 c c c 0
c b b c c 0
c b a c c 0
a a a a a 0
a a b a a 0
a c c a a 0
a c 0 a a 0
c a a c c 0
c a b c c 0
c c c c c 0
c c 0 c c 0

dmin: 1
Weight Enumerator: 1x0 + 2x1 + 5x2 + 3x3 + 6x4 + 15x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)4 (X_b)2 + (X_0)4 (X_a)1 (X_b)1 + (X_0)3 (X_b)3 + (X_0)2 (X_b)3 (X_c)1 + (X_0)1 (X_b)5 + (X_0)1 (X_a)1 (X_b)4 + (X_0)4 (X_a)2 + (X_0)4 (X_a)1 (X_b)1 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)1 (X_b)4 + (X_0)1 (X_b)3 (X_c)2 + (X_0)2 (X_b)3 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)3 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)4 (X_b)1 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)5 + (X_0)1 (X_a)4 (X_b)1 + (X_0)1 (X_a)3 (X_c)2 + (X_0)2 (X_a)3 (X_c)1 + (X_0)1 (X_a)2 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c

Is it a nice code?: No

Generator Matrix-898

a 0 0 a a 0
0 a a 0 0 0
b 0 0 b b 0
0 b b 0 0 0
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b b 0 0 0
0 b a 0 0 c
b 0 0 b b 0
b 0 c b b c
b b b b b 0
b b a b b c
0 a a 0 0 0
0 a b 0 0 c
0 c c 0 0 0
0 c 0 0 0 c
b a a b b 0
b a b b b c
b c c b b 0
b c 0 b b c
a 0 0 a a 0
a 0 c a a c
a b b a a 0
a b a a a c
c 0 0 c c 0
c 0 c c c c
c b b c c 0
c b a c c c
a a a a a 0
a a b a a c
a c c a a 0
a c 0 a a c
c a a c c 0
c a b c c c
c c c c c 0
c c 0 c c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 5x2 + 5x3 + 0x4 + 15x5 + 6x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_b)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)3 (X_b)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)1 (X_b)5 + (X_a)1 (X_b)4 (X_c)1 + (X_0)4 (X_a)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)1 (X_a)2 (X_b)3 + (X_a)1 (X_b)4 (X_c)1 + (X_0)1 (X_b)3 (X_c)2 + (X_0)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)3 (X_b)2 + (X_a)4 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)1 (X_b)2 (X_c)3 + (X_a)1 (X_b)1 (X_c)4 + (X_0)1 (X_a)5 + (X_a)4 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)2 (X_c)3 + (X_a)1 (X_b)1 (X_c)4 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c

Is it a nice code?: No

Generator Matrix-899

a 0 0 a a 0
0 a a 0 0 0
b 0 0 b b 0
0 b b 0 0 0
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b b 0 0 0
0 b a 0 c 0
b 0 0 b b 0
b 0 c b a 0
b b b b b 0
b b a b a 0
0 a a 0 0 0
0 a b 0 c 0
0 c c 0 0 0
0 c 0 0 c 0
b a a b b 0
b a b b a 0
b c c b b 0
b c 0 b a 0
a 0 0 a a 0
a 0 c a b 0
a b b a a 0
a b a a b 0
c 0 0 c c 0
c 0 c c 0 0
c b b c c 0
c b a c 0 0
a a a a a 0
a a b a b 0
a c c a a 0
a c 0 a b 0
c a a c c 0
c a b c 0 0
c c c c c 0
c c 0 c 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 5x2 + 7x3 + 6x4 + 13x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_b)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_b)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)4 (X_a)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)3 (X_b)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)3 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c

Is it a nice code?: No

Generator Matrix-900

a 0 0 a a 0
0 a a 0 0 0
b 0 0 b b 0
0 b b 0 0 0
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b b 0 0 0
0 b a 0 c c
b 0 0 b b 0
b 0 c b a c
b b b b b 0
b b a b a c
0 a a 0 0 0
0 a b 0 c c
0 c c 0 0 0
0 c 0 0 c c
b a a b b 0
b a b b a c
b c c b b 0
b c 0 b a c
a 0 0 a a 0
a 0 c a b c
a b b a a 0
a b a a b c
c 0 0 c c 0
c 0 c c 0 c
c b b c c 0
c b a c 0 c
a a a a a 0
a a b a b c
a c c a a 0
a c 0 a b c
c a a c c 0
c a b c 0 c
c c c c c 0
c c 0 c 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 5x3 + 4x4 + 15x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_b)5 + (X_a)2 (X_b)3 (X_c)1 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)3 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_b)2 + (X_a)3 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)5 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c

Is it a nice code?: No

Generator Matrix-901

a 0 0 a a 0
0 a a 0 0 0
b 0 0 b b 0
0 b b 0 0 0
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b b 0 0 0
0 b a c 0 0
b 0 0 b b 0
b 0 c a b 0
b b b b b 0
b b a a b 0
0 a a 0 0 0
0 a b c 0 0
0 c c 0 0 0
0 c 0 c 0 0
b a a b b 0
b a b a b 0
b c c b b 0
b c 0 a b 0
a 0 0 a a 0
a 0 c b a 0
a b b a a 0
a b a b a 0
c 0 0 c c 0
c 0 c 0 c 0
c b b c c 0
c b a 0 c 0
a a a a a 0
a a b b a 0
a c c a a 0
a c 0 b a 0
c a a c c 0
c a b 0 c 0
c c c c c 0
c c 0 0 c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 5x2 + 7x3 + 6x4 + 13x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_b)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_b)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)4 (X_a)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)3 (X_b)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)3 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c

Is it a nice code?: No

Generator Matrix-902

a 0 0 a a 0
0 a a 0 0 0
b 0 0 b b 0
0 b b 0 0 0
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b b 0 0 0
0 b a c 0 c
b 0 0 b b 0
b 0 c a b c
b b b b b 0
b b a a b c
0 a a 0 0 0
0 a b c 0 c
0 c c 0 0 0
0 c 0 c 0 c
b a a b b 0
b a b a b c
b c c b b 0
b c 0 a b c
a 0 0 a a 0
a 0 c b a c
a b b a a 0
a b a b a c
c 0 0 c c 0
c 0 c 0 c c
c b b c c 0
c b a 0 c c
a a a a a 0
a a b b a c
a c c a a 0
a c 0 b a c
c a a c c 0
c a b 0 c c
c c c c c 0
c c 0 0 c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 5x3 + 4x4 + 15x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_b)5 + (X_a)2 (X_b)3 (X_c)1 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)3 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_b)2 + (X_a)3 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)5 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c

Is it a nice code?: No

Generator Matrix-903

a 0 0 a a 0
0 a a 0 0 0
b 0 0 b b 0
0 b b 0 0 0
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b b 0 0 0
0 b a c c 0
b 0 0 b b 0
b 0 c a a 0
b b b b b 0
b b a a a 0
0 a a 0 0 0
0 a b c c 0
0 c c 0 0 0
0 c 0 c c 0
b a a b b 0
b a b a a 0
b c c b b 0
b c 0 a a 0
a 0 0 a a 0
a 0 c b b 0
a b b a a 0
a b a b b 0
c 0 0 c c 0
c 0 c 0 0 0
c b b c c 0
c b a 0 0 0
a a a a a 0
a a b b b 0
a c c a a 0
a c 0 b b 0
c a a c c 0
c a b 0 0 0
c c c c c 0
c c 0 0 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 5x2 + 7x3 + 6x4 + 13x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_b)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)2 (X_b)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_c)3 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c

Is it a nice code?: No

Generator Matrix-904

a 0 0 a a 0
0 a a 0 0 0
b 0 0 b b 0
0 b b 0 0 0
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b b 0 0 0
0 b a c c c
b 0 0 b b 0
b 0 c a a c
b b b b b 0
b b a a a c
0 a a 0 0 0
0 a b c c c
0 c c 0 0 0
0 c 0 c c c
b a a b b 0
b a b a a c
b c c b b 0
b c 0 a a c
a 0 0 a a 0
a 0 c b b c
a b b a a 0
a b a b b c
c 0 0 c c 0
c 0 c 0 0 c
c b b c c 0
c b a 0 0 c
a a a a a 0
a a b b b c
a c c a a 0
a c 0 b b c
c a a c c 0
c a b 0 0 c
c c c c c 0
c c 0 0 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 5x3 + 4x4 + 15x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)4 (X_b)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_b)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_b)5 + (X_a)3 (X_b)2 (X_c)1 + (X_0)4 (X_a)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_a)2 (X_b)3 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)3 (X_b)2 + (X_a)2 (X_b)3 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)5 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c

Is it a nice code?: No

Generator Matrix-905

a 0 0 a a 0
0 a a 0 0 a
b 0 0 b b 0
0 b b 0 0 b
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b b 0 0 b
0 b a 0 0 b
b 0 0 b b 0
b 0 c b b 0
b b b b b b
b b a b b b
0 a a 0 0 a
0 a b 0 0 a
0 c c 0 0 c
0 c 0 0 0 c
b a a b b a
b a b b b a
b c c b b c
b c 0 b b c
a 0 0 a a 0
a 0 c a a 0
a b b a a b
a b a a a b
c 0 0 c c 0
c 0 c c c 0
c b b c c b
c b a c c b
a a a a a a
a a b a a a
a c c a a c
a c 0 a a c
c a a c c a
c a b c c a
c c c c c c
c c 0 c c c

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 1x2 + 8x3 + 3x4 + 3x5 + 15x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)3 (X_b)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)3 (X_b)3 + (X_0)2 (X_b)3 (X_c)1 + (X_b)6 + (X_a)1 (X_b)5 + (X_0)3 (X_a)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_a)3 (X_b)3 + (X_a)2 (X_b)4 + (X_b)3 (X_c)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)3 (X_c)1 + (X_a)3 (X_b)3 + (X_a)4 (X_b)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_b)3 (X_c)3 + (X_a)1 (X_b)2 (X_c)3 + (X_a)6 + (X_a)5 (X_b)1 + (X_a)3 (X_c)3 + (X_0)1 (X_a)3 (X_c)2 + (X_a)3 (X_c)3 + (X_a)2 (X_b)1 (X_c)3 + (X_c)6 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-906

a 0 0 a a 0
0 a a 0 0 a
b 0 0 b b 0
0 b b 0 0 b
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b b 0 0 b
0 b a 0 0 a
b 0 0 b b 0
b 0 c b b c
b b b b b b
b b a b b a
0 a a 0 0 a
0 a b 0 0 b
0 c c 0 0 c
0 c 0 0 0 0
b a a b b a
b a b b b b
b c c b b c
b c 0 b b 0
a 0 0 a a 0
a 0 c a a c
a b b a a b
a b a a a a
c 0 0 c c 0
c 0 c c c c
c b b c c b
c b a c c a
a a a a a a
a a b a a b
a c c a a c
a c 0 a a 0
c a a c c a
c a b c c b
c c c c c c
c c 0 c c 0

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 1x2 + 8x3 + 3x4 + 3x5 + 15x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)3 (X_b)3 + (X_0)1 (X_b)3 (X_c)2 + (X_b)6 + (X_a)2 (X_b)4 + (X_0)3 (X_a)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_a)3 (X_b)3 + (X_a)1 (X_b)5 + (X_b)3 (X_c)3 + (X_0)2 (X_b)3 (X_c)1 + (X_0)3 (X_a)3 + (X_0)1 (X_a)3 (X_c)2 + (X_a)3 (X_b)3 + (X_a)5 (X_b)1 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_b)3 (X_c)3 + (X_a)2 (X_b)1 (X_c)3 + (X_a)6 + (X_a)4 (X_b)2 + (X_a)3 (X_c)3 + (X_0)2 (X_a)3 (X_c)1 + (X_a)3 (X_c)3 + (X_a)1 (X_b)2 (X_c)3 + (X_c)6 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-907

a 0 0 a a 0
0 a a 0 0 a
b 0 0 b b 0
0 b b 0 0 b
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b b 0 0 b
0 b a 0 c b
b 0 0 b b 0
b 0 c b a 0
b b b b b b
b b a b a b
0 a a 0 0 a
0 a b 0 c a
0 c c 0 0 c
0 c 0 0 c c
b a a b b a
b a b b a a
b c c b b c
b c 0 b a c
a 0 0 a a 0
a 0 c a b 0
a b b a a b
a b a a b b
c 0 0 c c 0
c 0 c c 0 0
c b b c c b
c b a c 0 b
a a a a a a
a a b a b a
a c c a a c
a c 0 a b c
c a a c c a
c a b c 0 a
c c c c c c
c c 0 c 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 8x3 + 5x4 + 4x5 + 13x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_b)6 + (X_a)2 (X_b)4 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_a)3 (X_b)3 + (X_a)3 (X_b)3 + (X_b)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)3 (X_b)3 + (X_a)3 (X_b)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_b)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)6 + (X_a)4 (X_b)2 + (X_a)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_c)6 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-908

a 0 0 a a 0
0 a a 0 0 a
b 0 0 b b 0
0 b b 0 0 b
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b b 0 0 b
0 b a 0 c a
b 0 0 b b 0
b 0 c b a c
b b b b b b
b b a b a a
0 a a 0 0 a
0 a b 0 c b
0 c c 0 0 c
0 c 0 0 c 0
b a a b b a
b a b b a b
b c c b b c
b c 0 b a 0
a 0 0 a a 0
a 0 c a b c
a b b a a b
a b a a b a
c 0 0 c c 0
c 0 c c 0 c
c b b c c b
c b a c 0 a
a a a a a a
a a b a b b
a c c a a c
a c 0 a b 0
c a a c c a
c a b c 0 b
c c c c c c
c c 0 c 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 8x3 + 5x4 + 4x5 + 13x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_b)6 + (X_a)3 (X_b)3 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_a)3 (X_b)3 + (X_a)2 (X_b)4 + (X_b)3 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)3 (X_b)3 + (X_a)4 (X_b)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_b)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)6 + (X_a)3 (X_b)3 + (X_a)3 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_c)6 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-909

a 0 0 a a 0
0 a a 0 0 a
b 0 0 b b 0
0 b b 0 0 b
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b b 0 0 b
0 b a c 0 b
b 0 0 b b 0
b 0 c a b 0
b b b b b b
b b a a b b
0 a a 0 0 a
0 a b c 0 a
0 c c 0 0 c
0 c 0 c 0 c
b a a b b a
b a b a b a
b c c b b c
b c 0 a b c
a 0 0 a a 0
a 0 c b a 0
a b b a a b
a b a b a b
c 0 0 c c 0
c 0 c 0 c 0
c b b c c b
c b a 0 c b
a a a a a a
a a b b a a
a c c a a c
a c 0 b a c
c a a c c a
c a b 0 c a
c c c c c c
c c 0 0 c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 8x3 + 5x4 + 4x5 + 13x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_b)6 + (X_a)2 (X_b)4 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_a)3 (X_b)3 + (X_a)3 (X_b)3 + (X_b)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)3 (X_b)3 + (X_a)3 (X_b)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_b)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)6 + (X_a)4 (X_b)2 + (X_a)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_c)6 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-910

a 0 0 a a 0
0 a a 0 0 a
b 0 0 b b 0
0 b b 0 0 b
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b b 0 0 b
0 b a c 0 a
b 0 0 b b 0
b 0 c a b c
b b b b b b
b b a a b a
0 a a 0 0 a
0 a b c 0 b
0 c c 0 0 c
0 c 0 c 0 0
b a a b b a
b a b a b b
b c c b b c
b c 0 a b 0
a 0 0 a a 0
a 0 c b a c
a b b a a b
a b a b a a
c 0 0 c c 0
c 0 c 0 c c
c b b c c b
c b a 0 c a
a a a a a a
a a b b a b
a c c a a c
a c 0 b a 0
c a a c c a
c a b 0 c b
c c c c c c
c c 0 0 c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 8x3 + 5x4 + 4x5 + 13x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_b)6 + (X_a)3 (X_b)3 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_a)3 (X_b)3 + (X_a)2 (X_b)4 + (X_b)3 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)3 (X_b)3 + (X_a)4 (X_b)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_b)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)6 + (X_a)3 (X_b)3 + (X_a)3 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_c)6 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-911

a 0 0 a a 0
0 a a 0 0 a
b 0 0 b b 0
0 b b 0 0 b
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b b 0 0 b
0 b a c c b
b 0 0 b b 0
b 0 c a a 0
b b b b b b
b b a a a b
0 a a 0 0 a
0 a b c c a
0 c c 0 0 c
0 c 0 c c c
b a a b b a
b a b a a a
b c c b b c
b c 0 a a c
a 0 0 a a 0
a 0 c b b 0
a b b a a b
a b a b b b
c 0 0 c c 0
c 0 c 0 0 0
c b b c c b
c b a 0 0 b
a a a a a a
a a b b b a
a c c a a c
a c 0 b b c
c a a c c a
c a b 0 0 a
c c c c c c
c c 0 0 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 8x3 + 5x4 + 4x5 + 13x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_b)6 + (X_a)3 (X_b)3 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_a)3 (X_b)3 + (X_a)4 (X_b)2 + (X_b)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)3 (X_b)3 + (X_a)2 (X_b)4 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_b)3 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)6 + (X_a)3 (X_b)3 + (X_a)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)3 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_c)6 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-912

a 0 0 a a 0
0 a a 0 0 a
b 0 0 b b 0
0 b b 0 0 b
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b b 0 0 b
0 b a c c a
b 0 0 b b 0
b 0 c a a c
b b b b b b
b b a a a a
0 a a 0 0 a
0 a b c c b
0 c c 0 0 c
0 c 0 c c 0
b a a b b a
b a b a a b
b c c b b c
b c 0 a a 0
a 0 0 a a 0
a 0 c b b c
a b b a a b
a b a b b a
c 0 0 c c 0
c 0 c 0 0 c
c b b c c b
c b a 0 0 a
a a a a a a
a a b b b b
a c c a a c
a c 0 b b 0
c a a c c a
c a b 0 0 b
c c c c c c
c c 0 0 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 8x3 + 5x4 + 4x5 + 13x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)3 (X_b)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_b)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_b)6 + (X_a)4 (X_b)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_a)3 (X_b)3 + (X_a)3 (X_b)3 + (X_b)3 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_a)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)3 (X_b)3 + (X_a)3 (X_b)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_b)3 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)6 + (X_a)2 (X_b)4 + (X_a)3 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)3 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_c)6 + (X_0)4 (X_c)2

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-913

a 0 0 a a 0
0 a a 0 a 0
b 0 0 b b 0
0 b b 0 b 0
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b b 0 b 0
0 b a 0 b 0
b 0 0 b b 0
b 0 c b b 0
b b b b 0 0
b b a b 0 0
0 a a 0 a 0
0 a b 0 a 0
0 c c 0 c 0
0 c 0 0 c 0
b a a b c 0
b a b b c 0
b c c b a 0
b c 0 b a 0
a 0 0 a a 0
a 0 c a a 0
a b b a c 0
a b a a c 0
c 0 0 c c 0
c 0 c c c 0
c b b c a 0
c b a c a 0
a a a a 0 0
a a b a 0 0
a c c a b 0
a c 0 a b 0
c a a c b 0
c a b c b 0
c c c c 0 0
c c 0 c 0 0

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 1x2 + 9x3 + 10x4 + 10x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)3 (X_b)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)3 (X_b)3 + (X_0)2 (X_b)3 (X_c)1 + (X_0)2 (X_b)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)3 (X_a)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c

Is it a nice code?: No

Generator Matrix-914

a 0 0 a a 0
0 a a 0 a 0
b 0 0 b b 0
0 b b 0 b 0
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b b 0 b 0
0 b a 0 b c
b 0 0 b b 0
b 0 c b b c
b b b b 0 0
b b a b 0 c
0 a a 0 a 0
0 a b 0 a c
0 c c 0 c 0
0 c 0 0 c c
b a a b c 0
b a b b c c
b c c b a 0
b c 0 b a c
a 0 0 a a 0
a 0 c a a c
a b b a c 0
a b a a c c
c 0 0 c c 0
c 0 c c c c
c b b c a 0
c b a c a c
a a a a 0 0
a a b a 0 c
a c c a b 0
a c 0 a b c
c a a c b 0
c a b c b c
c c c c 0 0
c c 0 c 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 7x3 + 6x4 + 13x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_b)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c

Is it a nice code?: No

Generator Matrix-915

a 0 0 a a 0
0 a a 0 a 0
b 0 0 b b 0
0 b b 0 b 0
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b b 0 b 0
0 b a 0 a 0
b 0 0 b b 0
b 0 c b a 0
b b b b 0 0
b b a b c 0
0 a a 0 a 0
0 a b 0 b 0
0 c c 0 c 0
0 c 0 0 0 0
b a a b c 0
b a b b 0 0
b c c b a 0
b c 0 b b 0
a 0 0 a a 0
a 0 c a b 0
a b b a c 0
a b a a 0 0
c 0 0 c c 0
c 0 c c 0 0
c b b c a 0
c b a c b 0
a a a a 0 0
a a b a c 0
a c c a b 0
a c 0 a a 0
c a a c b 0
c a b c a 0
c c c c 0 0
c c 0 c c 0

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 1x2 + 9x3 + 10x4 + 10x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)3 (X_a)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_b)3 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)3 (X_b)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c

Is it a nice code?: No

Generator Matrix-916

a 0 0 a a 0
0 a a 0 a 0
b 0 0 b b 0
0 b b 0 b 0
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b b 0 b 0
0 b a 0 a c
b 0 0 b b 0
b 0 c b a c
b b b b 0 0
b b a b c c
0 a a 0 a 0
0 a b 0 b c
0 c c 0 c 0
0 c 0 0 0 c
b a a b c 0
b a b b 0 c
b c c b a 0
b c 0 b b c
a 0 0 a a 0
a 0 c a b c
a b b a c 0
a b a a 0 c
c 0 0 c c 0
c 0 c c 0 c
c b b c a 0
c b a c b c
a a a a 0 0
a a b a c c
a c c a b 0
a c 0 a a c
c a a c b 0
c a b c a c
c c c c 0 0
c c 0 c c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 7x3 + 6x4 + 13x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_b)4 + (X_a)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)4 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c

Is it a nice code?: No

Generator Matrix-917

a 0 0 a a 0
0 a a 0 a 0
b 0 0 b b 0
0 b b 0 b 0
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b b 0 b 0
0 b a c b 0
b 0 0 b b 0
b 0 c a b 0
b b b b 0 0
b b a a 0 0
0 a a 0 a 0
0 a b c a 0
0 c c 0 c 0
0 c 0 c c 0
b a a b c 0
b a b a c 0
b c c b a 0
b c 0 a a 0
a 0 0 a a 0
a 0 c b a 0
a b b a c 0
a b a b c 0
c 0 0 c c 0
c 0 c 0 c 0
c b b c a 0
c b a 0 a 0
a a a a 0 0
a a b b 0 0
a c c a b 0
a c 0 b b 0
c a a c b 0
c a b 0 b 0
c c c c 0 0
c c 0 0 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 2x2 + 8x3 + 13x4 + 8x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c

Is it a nice code?: No

Generator Matrix-918

a 0 0 a a 0
0 a a 0 a 0
b 0 0 b b 0
0 b b 0 b 0
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b b 0 b 0
0 b a c b c
b 0 0 b b 0
b 0 c a b c
b b b b 0 0
b b a a 0 c
0 a a 0 a 0
0 a b c a c
0 c c 0 c 0
0 c 0 c c c
b a a b c 0
b a b a c c
b c c b a 0
b c 0 a a c
a 0 0 a a 0
a 0 c b a c
a b b a c 0
a b a b c c
c 0 0 c c 0
c 0 c 0 c c
c b b c a 0
c b a 0 a c
a a a a 0 0
a a b b 0 c
a c c a b 0
a c 0 b b c
c a a c b 0
c a b 0 b c
c c c c 0 0
c c 0 0 0 c

dmin: 3
Weight Enumerator: 1x0 + 0x1 + 0x2 + 8x3 + 5x4 + 16x5 + 2x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c

Is it a nice code?: No

Generator Matrix-919

a 0 0 a a 0
0 a a 0 a 0
b 0 0 b b 0
0 b b 0 b 0
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b b 0 b 0
0 b a c a 0
b 0 0 b b 0
b 0 c a a 0
b b b b 0 0
b b a a c 0
0 a a 0 a 0
0 a b c b 0
0 c c 0 c 0
0 c 0 c 0 0
b a a b c 0
b a b a 0 0
b c c b a 0
b c 0 a b 0
a 0 0 a a 0
a 0 c b b 0
a b b a c 0
a b a b 0 0
c 0 0 c c 0
c 0 c 0 0 0
c b b c a 0
c b a 0 b 0
a a a a 0 0
a a b b c 0
a c c a b 0
a c 0 b a 0
c a a c b 0
c a b 0 a 0
c c c c 0 0
c c 0 0 c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 2x2 + 8x3 + 13x4 + 8x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c

Is it a nice code?: No

Generator Matrix-920

a 0 0 a a 0
0 a a 0 a 0
b 0 0 b b 0
0 b b 0 b 0
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b b 0 b 0
0 b a c a c
b 0 0 b b 0
b 0 c a a c
b b b b 0 0
b b a a c c
0 a a 0 a 0
0 a b c b c
0 c c 0 c 0
0 c 0 c 0 c
b a a b c 0
b a b a 0 c
b c c b a 0
b c 0 a b c
a 0 0 a a 0
a 0 c b b c
a b b a c 0
a b a b 0 c
c 0 0 c c 0
c 0 c 0 0 c
c b b c a 0
c b a 0 b c
a a a a 0 0
a a b b c c
a c c a b 0
a c 0 b a c
c a a c b 0
c a b 0 a c
c c c c 0 0
c c 0 0 c c

dmin: 3
Weight Enumerator: 1x0 + 0x1 + 0x2 + 8x3 + 5x4 + 16x5 + 2x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)3 (X_b)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_b)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_b)4 + (X_a)2 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c

Is it a nice code?: No

Generator Matrix-921

a 0 0 a a 0
0 a a 0 a a
b 0 0 b b 0
0 b b 0 b b
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b b 0 b b
0 b a 0 b b
b 0 0 b b 0
b 0 c b b 0
b b b b 0 b
b b a b 0 b
0 a a 0 a a
0 a b 0 a a
0 c c 0 c c
0 c 0 0 c c
b a a b c a
b a b b c a
b c c b a c
b c 0 b a c
a 0 0 a a 0
a 0 c a a 0
a b b a c b
a b a a c b
c 0 0 c c 0
c 0 c c c 0
c b b c a b
c b a c a b
a a a a 0 a
a a b a 0 a
a c c a b c
a c 0 a b c
c a a c b a
c a b c b a
c c c c 0 c
c c 0 c 0 c

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 0x2 + 4x3 + 9x4 + 7x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)2 (X_b)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)3 (X_b)3 + (X_0)2 (X_b)3 (X_c)1 + (X_0)1 (X_b)5 + (X_0)1 (X_a)1 (X_b)4 + (X_0)2 (X_a)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_a)3 (X_b)2 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)3 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_a)1 (X_b)3 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)5 + (X_0)1 (X_a)4 (X_b)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-922

a 0 0 a a 0
0 a a 0 a a
b 0 0 b b 0
0 b b 0 b b
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b b 0 b b
0 b a 0 b a
b 0 0 b b 0
b 0 c b b c
b b b b 0 b
b b a b 0 a
0 a a 0 a a
0 a b 0 a b
0 c c 0 c c
0 c 0 0 c 0
b a a b c a
b a b b c b
b c c b a c
b c 0 b a 0
a 0 0 a a 0
a 0 c a a c
a b b a c b
a b a a c a
c 0 0 c c 0
c 0 c c c c
c b b c a b
c b a c a a
a a a a 0 a
a a b a 0 b
a c c a b c
a c 0 a b 0
c a a c b a
c a b c b b
c c c c 0 c
c c 0 c 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 2x2 + 4x3 + 7x4 + 8x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)3 (X_b)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)1 (X_b)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_a)3 (X_b)2 (X_c)1 + (X_a)1 (X_b)4 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)1 (X_a)3 (X_c)2 + (X_a)2 (X_b)3 (X_c)1 + (X_a)4 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_a)1 (X_b)3 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)5 + (X_0)1 (X_a)3 (X_b)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-923

a 0 0 a a 0
0 a a 0 a a
b 0 0 b b 0
0 b b 0 b b
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b b 0 b b
0 b a 0 a b
b 0 0 b b 0
b 0 c b a 0
b b b b 0 b
b b a b c b
0 a a 0 a a
0 a b 0 b a
0 c c 0 c c
0 c 0 0 0 c
b a a b c a
b a b b 0 a
b c c b a c
b c 0 b b c
a 0 0 a a 0
a 0 c a b 0
a b b a c b
a b a a 0 b
c 0 0 c c 0
c 0 c c 0 0
c b b c a b
c b a c b b
a a a a 0 a
a a b a c a
a c c a b c
a c 0 a a c
c a a c b a
c a b c a a
c c c c 0 c
c c 0 c c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 2x2 + 4x3 + 7x4 + 8x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_b)5 + (X_a)1 (X_b)4 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_a)1 (X_b)3 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)5 + (X_a)4 (X_b)1 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)3 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-924

a 0 0 a a 0
0 a a 0 a a
b 0 0 b b 0
0 b b 0 b b
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b b 0 b b
0 b a 0 a a
b 0 0 b b 0
b 0 c b a c
b b b b 0 b
b b a b c a
0 a a 0 a a
0 a b 0 b b
0 c c 0 c c
0 c 0 0 0 0
b a a b c a
b a b b 0 b
b c c b a c
b c 0 b b 0
a 0 0 a a 0
a 0 c a b c
a b b a c b
a b a a 0 a
c 0 0 c c 0
c 0 c c 0 c
c b b c a b
c b a c b a
a a a a 0 a
a a b a c b
a c c a b c
a c 0 a a 0
c a a c b a
c a b c a b
c c c c 0 c
c c 0 c c 0

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 0x2 + 4x3 + 9x4 + 7x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)2 (X_b)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_b)5 + (X_a)2 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)4 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_b)3 (X_c)1 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)4 (X_b)1 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_a)1 (X_b)3 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)5 + (X_a)3 (X_b)2 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)3 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-925

a 0 0 a a 0
0 a a 0 a a
b 0 0 b b 0
0 b b 0 b b
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b b 0 b b
0 b a c b b
b 0 0 b b 0
b 0 c a b 0
b b b b 0 b
b b a a 0 b
0 a a 0 a a
0 a b c a a
0 c c 0 c c
0 c 0 c c c
b a a b c a
b a b a c a
b c c b a c
b c 0 a a c
a 0 0 a a 0
a 0 c b a 0
a b b a c b
a b a b c b
c 0 0 c c 0
c 0 c 0 c 0
c b b c a b
c b a 0 a b
a a a a 0 a
a a b b 0 a
a c c a b c
a c 0 b b c
c a a c b a
c a b 0 b a
c c c c 0 c
c c 0 0 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 5x3 + 6x4 + 11x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_b)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_a)3 (X_b)2 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)3 (X_b)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-926

a 0 0 a a 0
0 a a 0 a a
b 0 0 b b 0
0 b b 0 b b
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b b 0 b b
0 b a c b a
b 0 0 b b 0
b 0 c a b c
b b b b 0 b
b b a a 0 a
0 a a 0 a a
0 a b c a b
0 c c 0 c c
0 c 0 c c 0
b a a b c a
b a b a c b
b c c b a c
b c 0 a a 0
a 0 0 a a 0
a 0 c b a c
a b b a c b
a b a b c a
c 0 0 c c 0
c 0 c 0 c c
c b b c a b
c b a 0 a a
a a a a 0 a
a a b b 0 b
a c c a b c
a c 0 b b 0
c a a c b a
c a b 0 b b
c c c c 0 c
c c 0 0 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 5x3 + 6x4 + 11x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_b)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_a)3 (X_b)2 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)2 (X_b)3 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)2 (X_b)3 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-927

a 0 0 a a 0
0 a a 0 a a
b 0 0 b b 0
0 b b 0 b b
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b b 0 b b
0 b a c a b
b 0 0 b b 0
b 0 c a a 0
b b b b 0 b
b b a a c b
0 a a 0 a a
0 a b c b a
0 c c 0 c c
0 c 0 c 0 c
b a a b c a
b a b a 0 a
b c c b a c
b c 0 a b c
a 0 0 a a 0
a 0 c b b 0
a b b a c b
a b a b 0 b
c 0 0 c c 0
c 0 c 0 0 0
c b b c a b
c b a 0 b b
a a a a 0 a
a a b b c a
a c c a b c
a c 0 b a c
c a a c b a
c a b 0 a a
c c c c 0 c
c c 0 0 c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 5x3 + 6x4 + 11x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_b)5 + (X_a)2 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)5 + (X_a)3 (X_b)2 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-928

a 0 0 a a 0
0 a a 0 a a
b 0 0 b b 0
0 b b 0 b b
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b b 0 b b
0 b a c a a
b 0 0 b b 0
b 0 c a a c
b b b b 0 b
b b a a c a
0 a a 0 a a
0 a b c b b
0 c c 0 c c
0 c 0 c 0 0
b a a b c a
b a b a 0 b
b c c b a c
b c 0 a b 0
a 0 0 a a 0
a 0 c b b c
a b b a c b
a b a b 0 a
c 0 0 c c 0
c 0 c 0 0 c
c b b c a b
c b a 0 b a
a a a a 0 a
a a b b c b
a c c a b c
a c 0 b a 0
c a a c b a
c a b 0 a b
c c c c 0 c
c c 0 0 c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 5x3 + 6x4 + 11x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)2 (X_b)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)3 (X_b)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_b)5 + (X_a)3 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)5 + (X_a)2 (X_b)3 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-929

a 0 0 a a 0
0 a a a 0 0
b 0 0 b b 0
0 b b b 0 0
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b b b 0 0
0 b a b 0 0
b 0 0 b b 0
b 0 c b b 0
b b b 0 b 0
b b a 0 b 0
0 a a a 0 0
0 a b a 0 0
0 c c c 0 0
0 c 0 c 0 0
b a a c b 0
b a b c b 0
b c c a b 0
b c 0 a b 0
a 0 0 a a 0
a 0 c a a 0
a b b c a 0
a b a c a 0
c 0 0 c c 0
c 0 c c c 0
c b b a c 0
c b a a c 0
a a a 0 a 0
a a b 0 a 0
a c c b a 0
a c 0 b a 0
c a a b c 0
c a b b c 0
c c c 0 c 0
c c 0 0 c 0

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 1x2 + 9x3 + 10x4 + 10x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)3 (X_b)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)3 (X_b)3 + (X_0)2 (X_b)3 (X_c)1 + (X_0)2 (X_b)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)3 (X_a)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c

Is it a nice code?: No

Generator Matrix-930

a 0 0 a a 0
0 a a a 0 0
b 0 0 b b 0
0 b b b 0 0
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b b b 0 0
0 b a b 0 c
b 0 0 b b 0
b 0 c b b c
b b b 0 b 0
b b a 0 b c
0 a a a 0 0
0 a b a 0 c
0 c c c 0 0
0 c 0 c 0 c
b a a c b 0
b a b c b c
b c c a b 0
b c 0 a b c
a 0 0 a a 0
a 0 c a a c
a b b c a 0
a b a c a c
c 0 0 c c 0
c 0 c c c c
c b b a c 0
c b a a c c
a a a 0 a 0
a a b 0 a c
a c c b a 0
a c 0 b a c
c a a b c 0
c a b b c c
c c c 0 c 0
c c 0 0 c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 7x3 + 6x4 + 13x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_b)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c

Is it a nice code?: No

Generator Matrix-931

a 0 0 a a 0
0 a a a 0 0
b 0 0 b b 0
0 b b b 0 0
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b b b 0 0
0 b a b c 0
b 0 0 b b 0
b 0 c b a 0
b b b 0 b 0
b b a 0 a 0
0 a a a 0 0
0 a b a c 0
0 c c c 0 0
0 c 0 c c 0
b a a c b 0
b a b c a 0
b c c a b 0
b c 0 a a 0
a 0 0 a a 0
a 0 c a b 0
a b b c a 0
a b a c b 0
c 0 0 c c 0
c 0 c c 0 0
c b b a c 0
c b a a 0 0
a a a 0 a 0
a a b 0 b 0
a c c b a 0
a c 0 b b 0
c a a b c 0
c a b b 0 0
c c c 0 c 0
c c 0 0 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 2x2 + 8x3 + 13x4 + 8x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c

Is it a nice code?: No

Generator Matrix-932

a 0 0 a a 0
0 a a a 0 0
b 0 0 b b 0
0 b b b 0 0
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b b b 0 0
0 b a b c c
b 0 0 b b 0
b 0 c b a c
b b b 0 b 0
b b a 0 a c
0 a a a 0 0
0 a b a c c
0 c c c 0 0
0 c 0 c c c
b a a c b 0
b a b c a c
b c c a b 0
b c 0 a a c
a 0 0 a a 0
a 0 c a b c
a b b c a 0
a b a c b c
c 0 0 c c 0
c 0 c c 0 c
c b b a c 0
c b a a 0 c
a a a 0 a 0
a a b 0 b c
a c c b a 0
a c 0 b b c
c a a b c 0
c a b b 0 c
c c c 0 c 0
c c 0 0 0 c

dmin: 3
Weight Enumerator: 1x0 + 0x1 + 0x2 + 8x3 + 5x4 + 16x5 + 2x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c

Is it a nice code?: No

Generator Matrix-933

a 0 0 a a 0
0 a a a 0 0
b 0 0 b b 0
0 b b b 0 0
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b b b 0 0
0 b a a 0 0
b 0 0 b b 0
b 0 c a b 0
b b b 0 b 0
b b a c b 0
0 a a a 0 0
0 a b b 0 0
0 c c c 0 0
0 c 0 0 0 0
b a a c b 0
b a b 0 b 0
b c c a b 0
b c 0 b b 0
a 0 0 a a 0
a 0 c b a 0
a b b c a 0
a b a 0 a 0
c 0 0 c c 0
c 0 c 0 c 0
c b b a c 0
c b a b c 0
a a a 0 a 0
a a b c a 0
a c c b a 0
a c 0 a a 0
c a a b c 0
c a b a c 0
c c c 0 c 0
c c 0 c c 0

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 1x2 + 9x3 + 10x4 + 10x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)3 (X_a)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_b)3 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)3 (X_b)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c

Is it a nice code?: No

Generator Matrix-934

a 0 0 a a 0
0 a a a 0 0
b 0 0 b b 0
0 b b b 0 0
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b b b 0 0
0 b a a 0 c
b 0 0 b b 0
b 0 c a b c
b b b 0 b 0
b b a c b c
0 a a a 0 0
0 a b b 0 c
0 c c c 0 0
0 c 0 0 0 c
b a a c b 0
b a b 0 b c
b c c a b 0
b c 0 b b c
a 0 0 a a 0
a 0 c b a c
a b b c a 0
a b a 0 a c
c 0 0 c c 0
c 0 c 0 c c
c b b a c 0
c b a b c c
a a a 0 a 0
a a b c a c
a c c b a 0
a c 0 a a c
c a a b c 0
c a b a c c
c c c 0 c 0
c c 0 c c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 7x3 + 6x4 + 13x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_b)4 + (X_a)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)4 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c

Is it a nice code?: No

Generator Matrix-935

a 0 0 a a 0
0 a a a 0 0
b 0 0 b b 0
0 b b b 0 0
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b b b 0 0
0 b a a c 0
b 0 0 b b 0
b 0 c a a 0
b b b 0 b 0
b b a c a 0
0 a a a 0 0
0 a b b c 0
0 c c c 0 0
0 c 0 0 c 0
b a a c b 0
b a b 0 a 0
b c c a b 0
b c 0 b a 0
a 0 0 a a 0
a 0 c b b 0
a b b c a 0
a b a 0 b 0
c 0 0 c c 0
c 0 c 0 0 0
c b b a c 0
c b a b 0 0
a a a 0 a 0
a a b c b 0
a c c b a 0
a c 0 a b 0
c a a b c 0
c a b a 0 0
c c c 0 c 0
c c 0 c 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 2x2 + 8x3 + 13x4 + 8x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c

Is it a nice code?: No

Generator Matrix-936

a 0 0 a a 0
0 a a a 0 0
b 0 0 b b 0
0 b b b 0 0
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b b b 0 0
0 b a a c c
b 0 0 b b 0
b 0 c a a c
b b b 0 b 0
b b a c a c
0 a a a 0 0
0 a b b c c
0 c c c 0 0
0 c 0 0 c c
b a a c b 0
b a b 0 a c
b c c a b 0
b c 0 b a c
a 0 0 a a 0
a 0 c b b c
a b b c a 0
a b a 0 b c
c 0 0 c c 0
c 0 c 0 0 c
c b b a c 0
c b a b 0 c
a a a 0 a 0
a a b c b c
a c c b a 0
a c 0 a b c
c a a b c 0
c a b a 0 c
c c c 0 c 0
c c 0 c 0 c

dmin: 3
Weight Enumerator: 1x0 + 0x1 + 0x2 + 8x3 + 5x4 + 16x5 + 2x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)3 (X_b)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_b)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_b)4 + (X_a)2 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c

Is it a nice code?: No

Generator Matrix-937

a 0 0 a a 0
0 a a a 0 a
b 0 0 b b 0
0 b b b 0 b
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b b b 0 b
0 b a b 0 b
b 0 0 b b 0
b 0 c b b 0
b b b 0 b b
b b a 0 b b
0 a a a 0 a
0 a b a 0 a
0 c c c 0 c
0 c 0 c 0 c
b a a c b a
b a b c b a
b c c a b c
b c 0 a b c
a 0 0 a a 0
a 0 c a a 0
a b b c a b
a b a c a b
c 0 0 c c 0
c 0 c c c 0
c b b a c b
c b a a c b
a a a 0 a a
a a b 0 a a
a c c b a c
a c 0 b a c
c a a b c a
c a b b c a
c c c 0 c c
c c 0 0 c c

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 0x2 + 4x3 + 9x4 + 7x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)2 (X_b)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)3 (X_b)3 + (X_0)2 (X_b)3 (X_c)1 + (X_0)1 (X_b)5 + (X_0)1 (X_a)1 (X_b)4 + (X_0)2 (X_a)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_a)3 (X_b)2 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)3 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_a)1 (X_b)3 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)5 + (X_0)1 (X_a)4 (X_b)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-938

a 0 0 a a 0
0 a a a 0 a
b 0 0 b b 0
0 b b b 0 b
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b b b 0 b
0 b a b 0 a
b 0 0 b b 0
b 0 c b b c
b b b 0 b b
b b a 0 b a
0 a a a 0 a
0 a b a 0 b
0 c c c 0 c
0 c 0 c 0 0
b a a c b a
b a b c b b
b c c a b c
b c 0 a b 0
a 0 0 a a 0
a 0 c a a c
a b b c a b
a b a c a a
c 0 0 c c 0
c 0 c c c c
c b b a c b
c b a a c a
a a a 0 a a
a a b 0 a b
a c c b a c
a c 0 b a 0
c a a b c a
c a b b c b
c c c 0 c c
c c 0 0 c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 2x2 + 4x3 + 7x4 + 8x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)3 (X_b)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)1 (X_b)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_a)3 (X_b)2 (X_c)1 + (X_a)1 (X_b)4 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)1 (X_a)3 (X_c)2 + (X_a)2 (X_b)3 (X_c)1 + (X_a)4 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_a)1 (X_b)3 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)5 + (X_0)1 (X_a)3 (X_b)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-939

a 0 0 a a 0
0 a a a 0 a
b 0 0 b b 0
0 b b b 0 b
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b b b 0 b
0 b a b c b
b 0 0 b b 0
b 0 c b a 0
b b b 0 b b
b b a 0 a b
0 a a a 0 a
0 a b a c a
0 c c c 0 c
0 c 0 c c c
b a a c b a
b a b c a a
b c c a b c
b c 0 a a c
a 0 0 a a 0
a 0 c a b 0
a b b c a b
a b a c b b
c 0 0 c c 0
c 0 c c 0 0
c b b a c b
c b a a 0 b
a a a 0 a a
a a b 0 b a
a c c b a c
a c 0 b b c
c a a b c a
c a b b 0 a
c c c 0 c c
c c 0 0 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 5x3 + 6x4 + 11x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_b)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_a)3 (X_b)2 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)3 (X_b)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-940

a 0 0 a a 0
0 a a a 0 a
b 0 0 b b 0
0 b b b 0 b
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b b b 0 b
0 b a b c a
b 0 0 b b 0
b 0 c b a c
b b b 0 b b
b b a 0 a a
0 a a a 0 a
0 a b a c b
0 c c c 0 c
0 c 0 c c 0
b a a c b a
b a b c a b
b c c a b c
b c 0 a a 0
a 0 0 a a 0
a 0 c a b c
a b b c a b
a b a c b a
c 0 0 c c 0
c 0 c c 0 c
c b b a c b
c b a a 0 a
a a a 0 a a
a a b 0 b b
a c c b a c
a c 0 b b 0
c a a b c a
c a b b 0 b
c c c 0 c c
c c 0 0 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 5x3 + 6x4 + 11x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_b)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_a)3 (X_b)2 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)2 (X_b)3 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)2 (X_b)3 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-941

a 0 0 a a 0
0 a a a 0 a
b 0 0 b b 0
0 b b b 0 b
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b b b 0 b
0 b a a 0 b
b 0 0 b b 0
b 0 c a b 0
b b b 0 b b
b b a c b b
0 a a a 0 a
0 a b b 0 a
0 c c c 0 c
0 c 0 0 0 c
b a a c b a
b a b 0 b a
b c c a b c
b c 0 b b c
a 0 0 a a 0
a 0 c b a 0
a b b c a b
a b a 0 a b
c 0 0 c c 0
c 0 c 0 c 0
c b b a c b
c b a b c b
a a a 0 a a
a a b c a a
a c c b a c
a c 0 a a c
c a a b c a
c a b a c a
c c c 0 c c
c c 0 c c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 2x2 + 4x3 + 7x4 + 8x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_b)5 + (X_a)1 (X_b)4 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_a)1 (X_b)3 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)5 + (X_a)4 (X_b)1 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)3 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-942

a 0 0 a a 0
0 a a a 0 a
b 0 0 b b 0
0 b b b 0 b
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b b b 0 b
0 b a a 0 a
b 0 0 b b 0
b 0 c a b c
b b b 0 b b
b b a c b a
0 a a a 0 a
0 a b b 0 b
0 c c c 0 c
0 c 0 0 0 0
b a a c b a
b a b 0 b b
b c c a b c
b c 0 b b 0
a 0 0 a a 0
a 0 c b a c
a b b c a b
a b a 0 a a
c 0 0 c c 0
c 0 c 0 c c
c b b a c b
c b a b c a
a a a 0 a a
a a b c a b
a c c b a c
a c 0 a a 0
c a a b c a
c a b a c b
c c c 0 c c
c c 0 c c 0

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 0x2 + 4x3 + 9x4 + 7x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)2 (X_b)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_b)5 + (X_a)2 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)4 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_b)3 (X_c)1 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)4 (X_b)1 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_a)1 (X_b)3 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)5 + (X_a)3 (X_b)2 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)3 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-943

a 0 0 a a 0
0 a a a 0 a
b 0 0 b b 0
0 b b b 0 b
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b b b 0 b
0 b a a c b
b 0 0 b b 0
b 0 c a a 0
b b b 0 b b
b b a c a b
0 a a a 0 a
0 a b b c a
0 c c c 0 c
0 c 0 0 c c
b a a c b a
b a b 0 a a
b c c a b c
b c 0 b a c
a 0 0 a a 0
a 0 c b b 0
a b b c a b
a b a 0 b b
c 0 0 c c 0
c 0 c 0 0 0
c b b a c b
c b a b 0 b
a a a 0 a a
a a b c b a
a c c b a c
a c 0 a b c
c a a b c a
c a b a 0 a
c c c 0 c c
c c 0 c 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 5x3 + 6x4 + 11x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_b)5 + (X_a)2 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)5 + (X_a)3 (X_b)2 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-944

a 0 0 a a 0
0 a a a 0 a
b 0 0 b b 0
0 b b b 0 b
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b b b 0 b
0 b a a c a
b 0 0 b b 0
b 0 c a a c
b b b 0 b b
b b a c a a
0 a a a 0 a
0 a b b c b
0 c c c 0 c
0 c 0 0 c 0
b a a c b a
b a b 0 a b
b c c a b c
b c 0 b a 0
a 0 0 a a 0
a 0 c b b c
a b b c a b
a b a 0 b a
c 0 0 c c 0
c 0 c 0 0 c
c b b a c b
c b a b 0 a
a a a 0 a a
a a b c b b
a c c b a c
a c 0 a b 0
c a a b c a
c a b a 0 b
c c c 0 c c
c c 0 c 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 5x3 + 6x4 + 11x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)2 (X_b)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)3 (X_b)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_b)5 + (X_a)3 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)5 + (X_a)2 (X_b)3 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-945

a 0 0 a a 0
0 a a a a 0
b 0 0 b b 0
0 b b b b 0
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b b b b 0
0 b a b b 0
b 0 0 b b 0
b 0 c b b 0
b b b 0 0 0
b b a 0 0 0
0 a a a a 0
0 a b a a 0
0 c c c c 0
0 c 0 c c 0
b a a c c 0
b a b c c 0
b c c a a 0
b c 0 a a 0
a 0 0 a a 0
a 0 c a a 0
a b b c c 0
a b a c c 0
c 0 0 c c 0
c 0 c c c 0
c b b a a 0
c b a a a 0
a a a 0 0 0
a a b 0 0 0
a c c b b 0
a c 0 b b 0
c a a b b 0
c a b b b 0
c c c 0 0 0
c c 0 0 0 0

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 1x2 + 9x3 + 10x4 + 10x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)2 (X_b)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)3 (X_b)3 + (X_0)2 (X_b)3 (X_c)1 + (X_0)3 (X_b)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)2 (X_a)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)3 (X_a)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c

Is it a nice code?: No

Generator Matrix-946

a 0 0 a a 0
0 a a a a 0
b 0 0 b b 0
0 b b b b 0
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b b b b 0
0 b a b b c
b 0 0 b b 0
b 0 c b b c
b b b 0 0 0
b b a 0 0 c
0 a a a a 0
0 a b a a c
0 c c c c 0
0 c 0 c c c
b a a c c 0
b a b c c c
b c c a a 0
b c 0 a a c
a 0 0 a a 0
a 0 c a a c
a b b c c 0
a b a c c c
c 0 0 c c 0
c 0 c c c c
c b b a a 0
c b a a a c
a a a 0 0 0
a a b 0 0 c
a c c b b 0
a c 0 b b c
c a a b b 0
c a b b b c
c c c 0 0 0
c c 0 0 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 7x3 + 6x4 + 13x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)3 (X_b)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c

Is it a nice code?: No

Generator Matrix-947

a 0 0 a a 0
0 a a a a 0
b 0 0 b b 0
0 b b b b 0
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b b b b 0
0 b a b a 0
b 0 0 b b 0
b 0 c b a 0
b b b 0 0 0
b b a 0 c 0
0 a a a a 0
0 a b a b 0
0 c c c c 0
0 c 0 c 0 0
b a a c c 0
b a b c 0 0
b c c a a 0
b c 0 a b 0
a 0 0 a a 0
a 0 c a b 0
a b b c c 0
a b a c 0 0
c 0 0 c c 0
c 0 c c 0 0
c b b a a 0
c b a a b 0
a a a 0 0 0
a a b 0 c 0
a c c b b 0
a c 0 b a 0
c a a b b 0
c a b b a 0
c c c 0 0 0
c c 0 0 c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 2x2 + 8x3 + 13x4 + 8x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c

Is it a nice code?: No

Generator Matrix-948

a 0 0 a a 0
0 a a a a 0
b 0 0 b b 0
0 b b b b 0
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b b b b 0
0 b a b a c
b 0 0 b b 0
b 0 c b a c
b b b 0 0 0
b b a 0 c c
0 a a a a 0
0 a b a b c
0 c c c c 0
0 c 0 c 0 c
b a a c c 0
b a b c 0 c
b c c a a 0
b c 0 a b c
a 0 0 a a 0
a 0 c a b c
a b b c c 0
a b a c 0 c
c 0 0 c c 0
c 0 c c 0 c
c b b a a 0
c b a a b c
a a a 0 0 0
a a b 0 c c
a c c b b 0
a c 0 b a c
c a a b b 0
c a b b a c
c c c 0 0 0
c c 0 0 c c

dmin: 3
Weight Enumerator: 1x0 + 0x1 + 0x2 + 8x3 + 5x4 + 16x5 + 2x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c

Is it a nice code?: No

Generator Matrix-949

a 0 0 a a 0
0 a a a a 0
b 0 0 b b 0
0 b b b b 0
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b b b b 0
0 b a a b 0
b 0 0 b b 0
b 0 c a b 0
b b b 0 0 0
b b a c 0 0
0 a a a a 0
0 a b b a 0
0 c c c c 0
0 c 0 0 c 0
b a a c c 0
b a b 0 c 0
b c c a a 0
b c 0 b a 0
a 0 0 a a 0
a 0 c b a 0
a b b c c 0
a b a 0 c 0
c 0 0 c c 0
c 0 c 0 c 0
c b b a a 0
c b a b a 0
a a a 0 0 0
a a b c 0 0
a c c b b 0
a c 0 a b 0
c a a b b 0
c a b a b 0
c c c 0 0 0
c c 0 c 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 2x2 + 8x3 + 13x4 + 8x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c

Is it a nice code?: No

Generator Matrix-950

a 0 0 a a 0
0 a a a a 0
b 0 0 b b 0
0 b b b b 0
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b b b b 0
0 b a a b c
b 0 0 b b 0
b 0 c a b c
b b b 0 0 0
b b a c 0 c
0 a a a a 0
0 a b b a c
0 c c c c 0
0 c 0 0 c c
b a a c c 0
b a b 0 c c
b c c a a 0
b c 0 b a c
a 0 0 a a 0
a 0 c b a c
a b b c c 0
a b a 0 c c
c 0 0 c c 0
c 0 c 0 c c
c b b a a 0
c b a b a c
a a a 0 0 0
a a b c 0 c
a c c b b 0
a c 0 a b c
c a a b b 0
c a b a b c
c c c 0 0 0
c c 0 c 0 c

dmin: 3
Weight Enumerator: 1x0 + 0x1 + 0x2 + 8x3 + 5x4 + 16x5 + 2x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c

Is it a nice code?: No

Generator Matrix-951

a 0 0 a a 0
0 a a a a 0
b 0 0 b b 0
0 b b b b 0
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b b b b 0
0 b a a a 0
b 0 0 b b 0
b 0 c a a 0
b b b 0 0 0
b b a c c 0
0 a a a a 0
0 a b b b 0
0 c c c c 0
0 c 0 0 0 0
b a a c c 0
b a b 0 0 0
b c c a a 0
b c 0 b b 0
a 0 0 a a 0
a 0 c b b 0
a b b c c 0
a b a 0 0 0
c 0 0 c c 0
c 0 c 0 0 0
c b b a a 0
c b a b b 0
a a a 0 0 0
a a b c c 0
a c c b b 0
a c 0 a a 0
c a a b b 0
c a b a a 0
c c c 0 0 0
c c 0 c c 0

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 1x2 + 9x3 + 10x4 + 10x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)2 (X_b)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)1 (X_b)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_b)3 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)2 (X_b)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c

Is it a nice code?: No

Generator Matrix-952

a 0 0 a a 0
0 a a a a 0
b 0 0 b b 0
0 b b b b 0
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b b b b 0
0 b a a a c
b 0 0 b b 0
b 0 c a a c
b b b 0 0 0
b b a c c c
0 a a a a 0
0 a b b b c
0 c c c c 0
0 c 0 0 0 c
b a a c c 0
b a b 0 0 c
b c c a a 0
b c 0 b b c
a 0 0 a a 0
a 0 c b b c
a b b c c 0
a b a 0 0 c
c 0 0 c c 0
c 0 c 0 0 c
c b b a a 0
c b a b b c
a a a 0 0 0
a a b c c c
a c c b b 0
a c 0 a a c
c a a b b 0
c a b a a c
c c c 0 0 0
c c 0 c c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 7x3 + 6x4 + 13x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)2 (X_b)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)3 (X_b)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_b)3 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c

Is it a nice code?: No

Generator Matrix-953

a 0 0 a a 0
0 a a a a a
b 0 0 b b 0
0 b b b b b
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b b b b b
0 b a b b b
b 0 0 b b 0
b 0 c b b 0
b b b 0 0 b
b b a 0 0 b
0 a a a a a
0 a b a a a
0 c c c c c
0 c 0 c c c
b a a c c a
b a b c c a
b c c a a c
b c 0 a a c
a 0 0 a a 0
a 0 c a a 0
a b b c c b
a b a c c b
c 0 0 c c 0
c 0 c c c 0
c b b a a b
c b a a a b
a a a 0 0 a
a a b 0 0 a
a c c b b c
a c 0 b b c
c a a b b a
c a b b b a
c c c 0 0 c
c c 0 0 0 c

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 0x2 + 4x3 + 9x4 + 7x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)1 (X_b)5 + (X_0)1 (X_a)1 (X_b)4 + (X_0)3 (X_b)3 + (X_0)2 (X_b)3 (X_c)1 + (X_0)2 (X_b)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)5 + (X_0)1 (X_a)4 (X_b)1 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_a)3 (X_b)1 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)3 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_a)2 (X_b)3 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)3 (X_b)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)3 (X_b)2 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-954

a 0 0 a a 0
0 a a a a a
b 0 0 b b 0
0 b b b b b
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b b b b b
0 b a b b a
b 0 0 b b 0
b 0 c b b c
b b b 0 0 b
b b a 0 0 a
0 a a a a a
0 a b a a b
0 c c c c c
0 c 0 c c 0
b a a c c a
b a b c c b
b c c a a c
b c 0 a a 0
a 0 0 a a 0
a 0 c a a c
a b b c c b
a b a c c a
c 0 0 c c 0
c 0 c c c c
c b b a a b
c b a a a a
a a a 0 0 a
a a b 0 0 b
a c c b b c
a c 0 b b 0
c a a b b a
c a b b b b
c c c 0 0 c
c c 0 0 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 2x2 + 4x3 + 7x4 + 8x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)1 (X_b)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)3 (X_b)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_a)3 (X_b)1 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_a)3 + (X_0)1 (X_a)3 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_a)2 (X_b)3 (X_c)1 + (X_a)4 (X_b)1 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)1 (X_b)4 (X_c)1 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-955

a 0 0 a a 0
0 a a a a a
b 0 0 b b 0
0 b b b b b
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b b b b b
0 b a b a b
b 0 0 b b 0
b 0 c b a 0
b b b 0 0 b
b b a 0 c b
0 a a a a a
0 a b a b a
0 c c c c c
0 c 0 c 0 c
b a a c c a
b a b c 0 a
b c c a a c
b c 0 a b c
a 0 0 a a 0
a 0 c a b 0
a b b c c b
a b a c 0 b
c 0 0 c c 0
c 0 c c 0 0
c b b a a b
c b a a b b
a a a 0 0 a
a a b 0 c a
a c c b b c
a c 0 b a c
c a a b b a
c a b b a a
c c c 0 0 c
c c 0 0 c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 5x3 + 6x4 + 11x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)1 (X_b)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_a)2 (X_b)3 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)3 (X_b)2 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-956

a 0 0 a a 0
0 a a a a a
b 0 0 b b 0
0 b b b b b
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b b b b b
0 b a b a a
b 0 0 b b 0
b 0 c b a c
b b b 0 0 b
b b a 0 c a
0 a a a a a
0 a b a b b
0 c c c c c
0 c 0 c 0 0
b a a c c a
b a b c 0 b
b c c a a c
b c 0 a b 0
a 0 0 a a 0
a 0 c a b c
a b b c c b
a b a c 0 a
c 0 0 c c 0
c 0 c c 0 c
c b b a a b
c b a a b a
a a a 0 0 a
a a b 0 c b
a c c b b c
a c 0 b a 0
c a a b b a
c a b b a b
c c c 0 0 c
c c 0 0 c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 5x3 + 6x4 + 11x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)1 (X_b)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_a)2 (X_b)3 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-957

a 0 0 a a 0
0 a a a a a
b 0 0 b b 0
0 b b b b b
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b b b b b
0 b a a b b
b 0 0 b b 0
b 0 c a b 0
b b b 0 0 b
b b a c 0 b
0 a a a a a
0 a b b a a
0 c c c c c
0 c 0 0 c c
b a a c c a
b a b 0 c a
b c c a a c
b c 0 b a c
a 0 0 a a 0
a 0 c b a 0
a b b c c b
a b a 0 c b
c 0 0 c c 0
c 0 c 0 c 0
c b b a a b
c b a b a b
a a a 0 0 a
a a b c 0 a
a c c b b c
a c 0 a b c
c a a b b a
c a b a b a
c c c 0 0 c
c c 0 c 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 5x3 + 6x4 + 11x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)1 (X_b)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_a)2 (X_b)3 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)3 (X_b)2 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-958

a 0 0 a a 0
0 a a a a a
b 0 0 b b 0
0 b b b b b
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b b b b b
0 b a a b a
b 0 0 b b 0
b 0 c a b c
b b b 0 0 b
b b a c 0 a
0 a a a a a
0 a b b a b
0 c c c c c
0 c 0 0 c 0
b a a c c a
b a b 0 c b
b c c a a c
b c 0 b a 0
a 0 0 a a 0
a 0 c b a c
a b b c c b
a b a 0 c a
c 0 0 c c 0
c 0 c 0 c c
c b b a a b
c b a b a a
a a a 0 0 a
a a b c 0 b
a c c b b c
a c 0 a b 0
c a a b b a
c a b a b b
c c c 0 0 c
c c 0 c 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 5x3 + 6x4 + 11x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)1 (X_b)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_a)2 (X_b)3 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-959

a 0 0 a a 0
0 a a a a a
b 0 0 b b 0
0 b b b b b
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b b b b b
0 b a a a b
b 0 0 b b 0
b 0 c a a 0
b b b 0 0 b
b b a c c b
0 a a a a a
0 a b b b a
0 c c c c c
0 c 0 0 0 c
b a a c c a
b a b 0 0 a
b c c a a c
b c 0 b b c
a 0 0 a a 0
a 0 c b b 0
a b b c c b
a b a 0 0 b
c 0 0 c c 0
c 0 c 0 0 0
c b b a a b
c b a b b b
a a a 0 0 a
a a b c c a
a c c b b c
a c 0 a a c
c a a b b a
c a b a a a
c c c 0 0 c
c c 0 c c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 2x2 + 4x3 + 7x4 + 8x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)1 (X_b)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_b)4 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_a)2 (X_b)3 (X_c)1 + (X_a)1 (X_b)4 (X_c)1 + (X_0)2 (X_a)4 + (X_a)3 (X_b)1 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)3 (X_c)2 + (X_a)3 (X_b)2 (X_c)1 + (X_a)4 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-960

a 0 0 a a 0
0 a a a a a
b 0 0 b b 0
0 b b b b b
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b b b b b
0 b a a a a
b 0 0 b b 0
b 0 c a a c
b b b 0 0 b
b b a c c a
0 a a a a a
0 a b b b b
0 c c c c c
0 c 0 0 0 0
b a a c c a
b a b 0 0 b
b c c a a c
b c 0 b b 0
a 0 0 a a 0
a 0 c b b c
a b b c c b
a b a 0 0 a
c 0 0 c c 0
c 0 c 0 0 c
c b b a a b
c b a b b a
a a a 0 0 a
a a b c c b
a c c b b c
a c 0 a a 0
c a a b b a
c a b a a b
c c c 0 0 c
c c 0 c c 0

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 0x2 + 4x3 + 9x4 + 7x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)1 (X_b)5 + (X_0)1 (X_a)4 (X_b)1 + (X_0)3 (X_b)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_b)4 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)5 + (X_0)1 (X_a)1 (X_b)4 + (X_0)1 (X_c)5 + (X_0)5 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)3 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_b)3 (X_c)1 + (X_0)3 (X_a)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)3 (X_b)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_a)2 (X_b)3 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_a)2 (X_b)2 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)3 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-961

a 0 0 a a a
0 a a 0 0 0
b 0 0 b b b
0 b b 0 0 0
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b b 0 0 0
0 b a 0 0 0
b 0 0 b b b
b 0 c b b b
b b b b b b
b b a b b b
0 a a 0 0 0
0 a b 0 0 0
0 c c 0 0 0
0 c 0 0 0 0
b a a b b b
b a b b b b
b c c b b b
b c 0 b b b
a 0 0 a a a
a 0 c a a a
a b b a a a
a b a a a a
c 0 0 c c c
c 0 c c c c
c b b c c c
c b a c c c
a a a a a a
a a b a a a
a c c a a a
a c 0 a a a
c a a c c c
c a b c c c
c c c c c c
c c 0 c c c

dmin: 1
Weight Enumerator: 1x0 + 2x1 + 5x2 + 0x3 + 3x4 + 6x5 + 15x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)4 (X_b)2 + (X_0)4 (X_a)1 (X_b)1 + (X_0)2 (X_b)4 + (X_0)1 (X_b)4 (X_c)1 + (X_b)6 + (X_a)1 (X_b)5 + (X_0)4 (X_a)2 + (X_0)4 (X_a)1 (X_b)1 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_a)2 (X_b)4 + (X_a)1 (X_b)5 + (X_b)4 (X_c)2 + (X_0)1 (X_b)4 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)4 (X_c)1 + (X_a)4 (X_b)2 + (X_a)5 (X_b)1 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_b)2 (X_c)4 + (X_a)1 (X_b)1 (X_c)4 + (X_a)6 + (X_a)5 (X_b)1 + (X_a)4 (X_c)2 + (X_0)1 (X_a)4 (X_c)1 + (X_a)2 (X_c)4 + (X_a)1 (X_b)1 (X_c)4 + (X_c)6 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-962

a 0 0 a a a
0 a a 0 0 0
b 0 0 b b b
0 b b 0 0 0
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b b 0 0 0
0 b a 0 0 c
b 0 0 b b b
b 0 c b b a
b b b b b b
b b a b b a
0 a a 0 0 0
0 a b 0 0 c
0 c c 0 0 0
0 c 0 0 0 c
b a a b b b
b a b b b a
b c c b b b
b c 0 b b a
a 0 0 a a a
a 0 c a a b
a b b a a a
a b a a a b
c 0 0 c c c
c 0 c c c 0
c b b c c c
c b a c c 0
a a a a a a
a a b a a b
a c c a a a
a c 0 a a b
c a a c c c
c a b c c 0
c c c c c c
c c 0 c c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 5x2 + 2x3 + 5x4 + 6x5 + 13x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_b)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_b)6 + (X_a)2 (X_b)4 + (X_0)4 (X_a)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_a)2 (X_b)4 + (X_a)2 (X_b)4 + (X_b)4 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)4 (X_b)2 + (X_a)4 (X_b)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_b)2 (X_c)4 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_a)6 + (X_a)4 (X_b)2 + (X_a)4 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_c)4 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_c)6 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-963

a 0 0 a a a
0 a a 0 0 0
b 0 0 b b b
0 b b 0 0 0
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b b 0 0 0
0 b a 0 c 0
b 0 0 b b b
b 0 c b a b
b b b b b b
b b a b a b
0 a a 0 0 0
0 a b 0 c 0
0 c c 0 0 0
0 c 0 0 c 0
b a a b b b
b a b b a b
b c c b b b
b c 0 b a b
a 0 0 a a a
a 0 c a b a
a b b a a a
a b a a b a
c 0 0 c c c
c 0 c c 0 c
c b b c c c
c b a c 0 c
a a a a a a
a a b a b a
a c c a a a
a c 0 a b a
c a a c c c
c a b c 0 c
c c c c c c
c c 0 c 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 5x2 + 2x3 + 5x4 + 6x5 + 13x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_b)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_b)6 + (X_a)2 (X_b)4 + (X_0)4 (X_a)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_a)2 (X_b)4 + (X_a)2 (X_b)4 + (X_b)4 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)4 (X_b)2 + (X_a)4 (X_b)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_b)2 (X_c)4 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_a)6 + (X_a)4 (X_b)2 + (X_a)4 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_c)4 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_c)6 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-964

a 0 0 a a a
0 a a 0 0 0
b 0 0 b b b
0 b b 0 0 0
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b b 0 0 0
0 b a 0 c c
b 0 0 b b b
b 0 c b a a
b b b b b b
b b a b a a
0 a a 0 0 0
0 a b 0 c c
0 c c 0 0 0
0 c 0 0 c c
b a a b b b
b a b b a a
b c c b b b
b c 0 b a a
a 0 0 a a a
a 0 c a b b
a b b a a a
a b a a b b
c 0 0 c c c
c 0 c c 0 0
c b b c c c
c b a c 0 0
a a a a a a
a a b a b b
a c c a a a
a c 0 a b b
c a a c c c
c a b c 0 0
c c c c c c
c c 0 c 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 4x3 + 7x4 + 4x5 + 13x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_b)6 + (X_a)3 (X_b)3 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_a)2 (X_b)4 + (X_a)3 (X_b)3 + (X_b)4 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)4 (X_b)2 + (X_a)3 (X_b)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_b)2 (X_c)4 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_a)6 + (X_a)3 (X_b)3 + (X_a)4 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_c)4 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_c)6 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-965

a 0 0 a a a
0 a a 0 0 0
b 0 0 b b b
0 b b 0 0 0
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b b 0 0 0
0 b a c 0 0
b 0 0 b b b
b 0 c a b b
b b b b b b
b b a a b b
0 a a 0 0 0
0 a b c 0 0
0 c c 0 0 0
0 c 0 c 0 0
b a a b b b
b a b a b b
b c c b b b
b c 0 a b b
a 0 0 a a a
a 0 c b a a
a b b a a a
a b a b a a
c 0 0 c c c
c 0 c 0 c c
c b b c c c
c b a 0 c c
a a a a a a
a a b b a a
a c c a a a
a c 0 b a a
c a a c c c
c a b 0 c c
c c c c c c
c c 0 0 c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 5x2 + 2x3 + 5x4 + 6x5 + 13x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_b)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_b)6 + (X_a)2 (X_b)4 + (X_0)4 (X_a)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_a)2 (X_b)4 + (X_a)2 (X_b)4 + (X_b)4 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)4 (X_b)2 + (X_a)4 (X_b)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_b)2 (X_c)4 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_a)6 + (X_a)4 (X_b)2 + (X_a)4 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_c)4 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_c)6 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-966

a 0 0 a a a
0 a a 0 0 0
b 0 0 b b b
0 b b 0 0 0
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b b 0 0 0
0 b a c 0 c
b 0 0 b b b
b 0 c a b a
b b b b b b
b b a a b a
0 a a 0 0 0
0 a b c 0 c
0 c c 0 0 0
0 c 0 c 0 c
b a a b b b
b a b a b a
b c c b b b
b c 0 a b a
a 0 0 a a a
a 0 c b a b
a b b a a a
a b a b a b
c 0 0 c c c
c 0 c 0 c 0
c b b c c c
c b a 0 c 0
a a a a a a
a a b b a b
a c c a a a
a c 0 b a b
c a a c c c
c a b 0 c 0
c c c c c c
c c 0 0 c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 4x3 + 7x4 + 4x5 + 13x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_b)6 + (X_a)3 (X_b)3 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_a)2 (X_b)4 + (X_a)3 (X_b)3 + (X_b)4 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)4 (X_b)2 + (X_a)3 (X_b)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_b)2 (X_c)4 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_a)6 + (X_a)3 (X_b)3 + (X_a)4 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_c)4 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_c)6 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-967

a 0 0 a a a
0 a a 0 0 0
b 0 0 b b b
0 b b 0 0 0
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b b 0 0 0
0 b a c c 0
b 0 0 b b b
b 0 c a a b
b b b b b b
b b a a a b
0 a a 0 0 0
0 a b c c 0
0 c c 0 0 0
0 c 0 c c 0
b a a b b b
b a b a a b
b c c b b b
b c 0 a a b
a 0 0 a a a
a 0 c b b a
a b b a a a
a b a b b a
c 0 0 c c c
c 0 c 0 0 c
c b b c c c
c b a 0 0 c
a a a a a a
a a b b b a
a c c a a a
a c 0 b b a
c a a c c c
c a b 0 0 c
c c c c c c
c c 0 0 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 4x3 + 7x4 + 4x5 + 13x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_b)6 + (X_a)3 (X_b)3 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_a)2 (X_b)4 + (X_a)3 (X_b)3 + (X_b)4 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)4 (X_b)2 + (X_a)3 (X_b)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_b)2 (X_c)4 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_a)6 + (X_a)3 (X_b)3 + (X_a)4 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_c)4 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_c)6 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-968

a 0 0 a a a
0 a a 0 0 0
b 0 0 b b b
0 b b 0 0 0
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b b 0 0 0
0 b a c c c
b 0 0 b b b
b 0 c a a a
b b b b b b
b b a a a a
0 a a 0 0 0
0 a b c c c
0 c c 0 0 0
0 c 0 c c c
b a a b b b
b a b a a a
b c c b b b
b c 0 a a a
a 0 0 a a a
a 0 c b b b
a b b a a a
a b a b b b
c 0 0 c c c
c 0 c 0 0 0
c b b c c c
c b a 0 0 0
a a a a a a
a a b b b b
a c c a a a
a c 0 b b b
c a a c c c
c a b 0 0 0
c c c c c c
c c 0 0 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 5x2 + 2x3 + 5x4 + 6x5 + 13x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)4 (X_b)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_b)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_b)6 + (X_a)4 (X_b)2 + (X_0)4 (X_a)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_a)2 (X_b)4 + (X_a)4 (X_b)2 + (X_b)4 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)4 (X_b)2 + (X_a)2 (X_b)4 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_b)2 (X_c)4 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_a)6 + (X_a)2 (X_b)4 + (X_a)4 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)2 (X_c)4 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_c)6 + (X_0)4 (X_c)2

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-969

a 0 0 a a a
0 a a 0 0 a
b 0 0 b b b
0 b b 0 0 b
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b b 0 0 b
0 b a 0 0 b
b 0 0 b b b
b 0 c b b b
b b b b b 0
b b a b b 0
0 a a 0 0 a
0 a b 0 0 a
0 c c 0 0 c
0 c 0 0 0 c
b a a b b c
b a b b b c
b c c b b a
b c 0 b b a
a 0 0 a a a
a 0 c a a a
a b b a a c
a b a a a c
c 0 0 c c c
c 0 c c c c
c b b c c a
c b a c c a
a a a a a 0
a a b a a 0
a c c a a b
a c 0 a a b
c a a c c b
c a b c c b
c c c c c 0
c c 0 c c 0

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 1x2 + 5x3 + 4x4 + 10x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)3 (X_b)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)2 (X_b)4 + (X_0)1 (X_b)4 (X_c)1 + (X_0)1 (X_b)5 + (X_0)1 (X_a)1 (X_b)4 + (X_0)3 (X_a)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_a)2 (X_b)3 (X_c)1 + (X_a)1 (X_b)4 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)4 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)4 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_a)1 (X_b)2 (X_c)3 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)5 + (X_0)1 (X_a)4 (X_b)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-970

a 0 0 a a a
0 a a 0 0 a
b 0 0 b b b
0 b b 0 0 b
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b b 0 0 b
0 b a 0 0 a
b 0 0 b b b
b 0 c b b a
b b b b b 0
b b a b b c
0 a a 0 0 a
0 a b 0 0 b
0 c c 0 0 c
0 c 0 0 0 0
b a a b b c
b a b b b 0
b c c b b a
b c 0 b b b
a 0 0 a a a
a 0 c a a b
a b b a a c
a b a a a 0
c 0 0 c c c
c 0 c c c 0
c b b c c a
c b a c c b
a a a a a 0
a a b a a c
a c c a a b
a c 0 a a a
c a a c c b
c a b c c a
c c c c c 0
c c 0 c c c

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 1x2 + 5x3 + 4x4 + 10x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_b)5 + (X_a)1 (X_b)4 (X_c)1 + (X_0)3 (X_a)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)4 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_b)4 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)4 (X_b)1 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_a)1 (X_b)2 (X_c)3 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)5 + (X_a)4 (X_b)1 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)4 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-971

a 0 0 a a a
0 a a 0 0 a
b 0 0 b b b
0 b b 0 0 b
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b b 0 0 b
0 b a 0 c b
b 0 0 b b b
b 0 c b a b
b b b b b 0
b b a b a 0
0 a a 0 0 a
0 a b 0 c a
0 c c 0 0 c
0 c 0 0 c c
b a a b b c
b a b b a c
b c c b b a
b c 0 b a a
a 0 0 a a a
a 0 c a b a
a b b a a c
a b a a b c
c 0 0 c c c
c 0 c c 0 c
c b b c c a
c b a c 0 a
a a a a a 0
a a b a b 0
a c c a a b
a c 0 a b b
c a a c c b
c a b c 0 b
c c c c c 0
c c 0 c 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 5x3 + 6x4 + 11x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_b)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_a)2 (X_b)3 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)5 + (X_0)1 (X_a)3 (X_b)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-972

a 0 0 a a a
0 a a 0 0 a
b 0 0 b b b
0 b b 0 0 b
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b b 0 0 b
0 b a 0 c a
b 0 0 b b b
b 0 c b a a
b b b b b 0
b b a b a c
0 a a 0 0 a
0 a b 0 c b
0 c c 0 0 c
0 c 0 0 c 0
b a a b b c
b a b b a 0
b c c b b a
b c 0 b a b
a 0 0 a a a
a 0 c a b b
a b b a a c
a b a a b 0
c 0 0 c c c
c 0 c c 0 0
c b b c c a
c b a c 0 b
a a a a a 0
a a b a b c
a c c a a b
a c 0 a b a
c a a c c b
c a b c 0 a
c c c c c 0
c c 0 c 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 5x3 + 6x4 + 11x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_b)5 + (X_a)2 (X_b)3 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)5 + (X_a)3 (X_b)2 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-973

a 0 0 a a a
0 a a 0 0 a
b 0 0 b b b
0 b b 0 0 b
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b b 0 0 b
0 b a c 0 b
b 0 0 b b b
b 0 c a b b
b b b b b 0
b b a a b 0
0 a a 0 0 a
0 a b c 0 a
0 c c 0 0 c
0 c 0 c 0 c
b a a b b c
b a b a b c
b c c b b a
b c 0 a b a
a 0 0 a a a
a 0 c b a a
a b b a a c
a b a b a c
c 0 0 c c c
c 0 c 0 c c
c b b c c a
c b a 0 c a
a a a a a 0
a a b b a 0
a c c a a b
a c 0 b a b
c a a c c b
c a b 0 c b
c c c c c 0
c c 0 0 c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 5x3 + 6x4 + 11x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_b)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_a)2 (X_b)3 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)5 + (X_0)1 (X_a)3 (X_b)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-974

a 0 0 a a a
0 a a 0 0 a
b 0 0 b b b
0 b b 0 0 b
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b b 0 0 b
0 b a c 0 a
b 0 0 b b b
b 0 c a b a
b b b b b 0
b b a a b c
0 a a 0 0 a
0 a b c 0 b
0 c c 0 0 c
0 c 0 c 0 0
b a a b b c
b a b a b 0
b c c b b a
b c 0 a b b
a 0 0 a a a
a 0 c b a b
a b b a a c
a b a b a 0
c 0 0 c c c
c 0 c 0 c 0
c b b c c a
c b a 0 c b
a a a a a 0
a a b b a c
a c c a a b
a c 0 b a a
c a a c c b
c a b 0 c a
c c c c c 0
c c 0 0 c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 5x3 + 6x4 + 11x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_b)5 + (X_a)2 (X_b)3 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)5 + (X_a)3 (X_b)2 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-975

a 0 0 a a a
0 a a 0 0 a
b 0 0 b b b
0 b b 0 0 b
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b b 0 0 b
0 b a c c b
b 0 0 b b b
b 0 c a a b
b b b b b 0
b b a a a 0
0 a a 0 0 a
0 a b c c a
0 c c 0 0 c
0 c 0 c c c
b a a b b c
b a b a a c
b c c b b a
b c 0 a a a
a 0 0 a a a
a 0 c b b a
a b b a a c
a b a b b c
c 0 0 c c c
c 0 c 0 0 c
c b b c c a
c b a 0 0 a
a a a a a 0
a a b b b 0
a c c a a b
a c 0 b b b
c a a c c b
c a b 0 0 b
c c c c c 0
c c 0 0 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 5x3 + 6x4 + 11x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_b)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_a)2 (X_b)3 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)2 (X_b)3 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-976

a 0 0 a a a
0 a a 0 0 a
b 0 0 b b b
0 b b 0 0 b
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b b 0 0 b
0 b a c c a
b 0 0 b b b
b 0 c a a a
b b b b b 0
b b a a a c
0 a a 0 0 a
0 a b c c b
0 c c 0 0 c
0 c 0 c c 0
b a a b b c
b a b a a 0
b c c b b a
b c 0 a a b
a 0 0 a a a
a 0 c b b b
a b b a a c
a b a b b 0
c 0 0 c c c
c 0 c 0 0 0
c b b c c a
c b a 0 0 b
a a a a a 0
a a b b b c
a c c a a b
a c 0 b b a
c a a c c b
c a b 0 0 a
c c c c c 0
c c 0 0 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 5x3 + 6x4 + 11x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)3 (X_b)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_b)5 + (X_a)3 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)5 + (X_a)2 (X_b)3 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-977

a 0 0 a a a
0 a a 0 a 0
b 0 0 b b b
0 b b 0 b 0
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b b 0 b 0
0 b a 0 b 0
b 0 0 b b b
b 0 c b b b
b b b b 0 b
b b a b 0 b
0 a a 0 a 0
0 a b 0 a 0
0 c c 0 c 0
0 c 0 0 c 0
b a a b c b
b a b b c b
b c c b a b
b c 0 b a b
a 0 0 a a a
a 0 c a a a
a b b a c a
a b a a c a
c 0 0 c c c
c 0 c c c c
c b b c a c
c b a c a c
a a a a 0 a
a a b a 0 a
a c c a b a
a c 0 a b a
c a a c b c
c a b c b c
c c c c 0 c
c c 0 c 0 c

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 1x2 + 5x3 + 4x4 + 10x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)3 (X_b)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)2 (X_b)4 + (X_0)1 (X_b)4 (X_c)1 + (X_0)1 (X_b)5 + (X_0)1 (X_a)1 (X_b)4 + (X_0)3 (X_a)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_a)2 (X_b)3 (X_c)1 + (X_a)1 (X_b)4 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)4 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)4 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_a)1 (X_b)2 (X_c)3 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)5 + (X_0)1 (X_a)4 (X_b)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-978

a 0 0 a a a
0 a a 0 a 0
b 0 0 b b b
0 b b 0 b 0
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b b 0 b 0
0 b a 0 b c
b 0 0 b b b
b 0 c b b a
b b b b 0 b
b b a b 0 a
0 a a 0 a 0
0 a b 0 a c
0 c c 0 c 0
0 c 0 0 c c
b a a b c b
b a b b c a
b c c b a b
b c 0 b a a
a 0 0 a a a
a 0 c a a b
a b b a c a
a b a a c b
c 0 0 c c c
c 0 c c c 0
c b b c a c
c b a c a 0
a a a a 0 a
a a b a 0 b
a c c a b a
a c 0 a b b
c a a c b c
c a b c b 0
c c c c 0 c
c c 0 c 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 5x3 + 6x4 + 11x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_b)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_a)2 (X_b)3 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)5 + (X_0)1 (X_a)3 (X_b)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-979

a 0 0 a a a
0 a a 0 a 0
b 0 0 b b b
0 b b 0 b 0
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b b 0 b 0
0 b a 0 a 0
b 0 0 b b b
b 0 c b a b
b b b b 0 b
b b a b c b
0 a a 0 a 0
0 a b 0 b 0
0 c c 0 c 0
0 c 0 0 0 0
b a a b c b
b a b b 0 b
b c c b a b
b c 0 b b b
a 0 0 a a a
a 0 c a b a
a b b a c a
a b a a 0 a
c 0 0 c c c
c 0 c c 0 c
c b b c a c
c b a c b c
a a a a 0 a
a a b a c a
a c c a b a
a c 0 a a a
c a a c b c
c a b c a c
c c c c 0 c
c c 0 c c c

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 1x2 + 5x3 + 4x4 + 10x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_b)5 + (X_a)1 (X_b)4 (X_c)1 + (X_0)3 (X_a)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)4 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_b)4 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)4 (X_b)1 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_a)1 (X_b)2 (X_c)3 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)5 + (X_a)4 (X_b)1 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)4 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-980

a 0 0 a a a
0 a a 0 a 0
b 0 0 b b b
0 b b 0 b 0
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b b 0 b 0
0 b a 0 a c
b 0 0 b b b
b 0 c b a a
b b b b 0 b
b b a b c a
0 a a 0 a 0
0 a b 0 b c
0 c c 0 c 0
0 c 0 0 0 c
b a a b c b
b a b b 0 a
b c c b a b
b c 0 b b a
a 0 0 a a a
a 0 c a b b
a b b a c a
a b a a 0 b
c 0 0 c c c
c 0 c c 0 0
c b b c a c
c b a c b 0
a a a a 0 a
a a b a c b
a c c a b a
a c 0 a a b
c a a c b c
c a b c a 0
c c c c 0 c
c c 0 c c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 5x3 + 6x4 + 11x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_b)5 + (X_a)2 (X_b)3 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)5 + (X_a)3 (X_b)2 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-981

a 0 0 a a a
0 a a 0 a 0
b 0 0 b b b
0 b b 0 b 0
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b b 0 b 0
0 b a c b 0
b 0 0 b b b
b 0 c a b b
b b b b 0 b
b b a a 0 b
0 a a 0 a 0
0 a b c a 0
0 c c 0 c 0
0 c 0 c c 0
b a a b c b
b a b a c b
b c c b a b
b c 0 a a b
a 0 0 a a a
a 0 c b a a
a b b a c a
a b a b c a
c 0 0 c c c
c 0 c 0 c c
c b b c a c
c b a 0 a c
a a a a 0 a
a a b b 0 a
a c c a b a
a c 0 b b a
c a a c b c
c a b 0 b c
c c c c 0 c
c c 0 0 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 5x3 + 6x4 + 11x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_b)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_a)2 (X_b)3 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)5 + (X_0)1 (X_a)3 (X_b)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-982

a 0 0 a a a
0 a a 0 a 0
b 0 0 b b b
0 b b 0 b 0
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b b 0 b 0
0 b a c b c
b 0 0 b b b
b 0 c a b a
b b b b 0 b
b b a a 0 a
0 a a 0 a 0
0 a b c a c
0 c c 0 c 0
0 c 0 c c c
b a a b c b
b a b a c a
b c c b a b
b c 0 a a a
a 0 0 a a a
a 0 c b a b
a b b a c a
a b a b c b
c 0 0 c c c
c 0 c 0 c 0
c b b c a c
c b a 0 a 0
a a a a 0 a
a a b b 0 b
a c c a b a
a c 0 b b b
c a a c b c
c a b 0 b 0
c c c c 0 c
c c 0 0 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 5x3 + 6x4 + 11x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_b)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_a)2 (X_b)3 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)2 (X_b)3 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-983

a 0 0 a a a
0 a a 0 a 0
b 0 0 b b b
0 b b 0 b 0
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b b 0 b 0
0 b a c a 0
b 0 0 b b b
b 0 c a a b
b b b b 0 b
b b a a c b
0 a a 0 a 0
0 a b c b 0
0 c c 0 c 0
0 c 0 c 0 0
b a a b c b
b a b a 0 b
b c c b a b
b c 0 a b b
a 0 0 a a a
a 0 c b b a
a b b a c a
a b a b 0 a
c 0 0 c c c
c 0 c 0 0 c
c b b c a c
c b a 0 b c
a a a a 0 a
a a b b c a
a c c a b a
a c 0 b a a
c a a c b c
c a b 0 a c
c c c c 0 c
c c 0 0 c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 5x3 + 6x4 + 11x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_b)5 + (X_a)2 (X_b)3 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)5 + (X_a)3 (X_b)2 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-984

a 0 0 a a a
0 a a 0 a 0
b 0 0 b b b
0 b b 0 b 0
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b b 0 b 0
0 b a c a c
b 0 0 b b b
b 0 c a a a
b b b b 0 b
b b a a c a
0 a a 0 a 0
0 a b c b c
0 c c 0 c 0
0 c 0 c 0 c
b a a b c b
b a b a 0 a
b c c b a b
b c 0 a b a
a 0 0 a a a
a 0 c b b b
a b b a c a
a b a b 0 b
c 0 0 c c c
c 0 c 0 0 0
c b b c a c
c b a 0 b 0
a a a a 0 a
a a b b c b
a c c a b a
a c 0 b a b
c a a c b c
c a b 0 a 0
c c c c 0 c
c c 0 0 c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 5x3 + 6x4 + 11x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)3 (X_b)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_b)5 + (X_a)3 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)5 + (X_a)2 (X_b)3 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-985

a 0 0 a a a
0 a a 0 a a
b 0 0 b b b
0 b b 0 b b
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b b 0 b b
0 b a 0 b b
b 0 0 b b b
b 0 c b b b
b b b b 0 0
b b a b 0 0
0 a a 0 a a
0 a b 0 a a
0 c c 0 c c
0 c 0 0 c c
b a a b c c
b a b b c c
b c c b a a
b c 0 b a a
a 0 0 a a a
a 0 c a a a
a b b a c c
a b a a c c
c 0 0 c c c
c 0 c c c c
c b b c a a
c b a c a a
a a a a 0 0
a a b a 0 0
a c c a b b
a c 0 a b b
c a a c b b
c a b c b b
c c c c 0 0
c c 0 c 0 0

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 0x2 + 2x3 + 13x4 + 5x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)2 (X_b)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)2 (X_b)4 + (X_0)1 (X_b)4 (X_c)1 + (X_0)2 (X_b)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)2 (X_a)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_a)2 (X_b)2 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)4 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_a)2 (X_b)2 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)4 + (X_0)2 (X_a)3 (X_b)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-986

a 0 0 a a a
0 a a 0 a a
b 0 0 b b b
0 b b 0 b b
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b b 0 b b
0 b a 0 b a
b 0 0 b b b
b 0 c b b a
b b b b 0 0
b b a b 0 c
0 a a 0 a a
0 a b 0 a b
0 c c 0 c c
0 c 0 0 c 0
b a a b c c
b a b b c 0
b c c b a a
b c 0 b a b
a 0 0 a a a
a 0 c a a b
a b b a c c
a b a a c 0
c 0 0 c c c
c 0 c c c 0
c b b c a a
c b a c a b
a a a a 0 0
a a b a 0 c
a c c a b b
a c 0 a b a
c a a c b b
c a b c b a
c c c c 0 0
c c 0 c 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 2x2 + 0x3 + 13x4 + 8x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_a)2 (X_b)2 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-987

a 0 0 a a a
0 a a 0 a a
b 0 0 b b b
0 b b 0 b b
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b b 0 b b
0 b a 0 a b
b 0 0 b b b
b 0 c b a b
b b b b 0 0
b b a b c 0
0 a a 0 a a
0 a b 0 b a
0 c c 0 c c
0 c 0 0 0 c
b a a b c c
b a b b 0 c
b c c b a a
b c 0 b b a
a 0 0 a a a
a 0 c a b a
a b b a c c
a b a a 0 c
c 0 0 c c c
c 0 c c 0 c
c b b c a a
c b a c b a
a a a a 0 0
a a b a c 0
a c c a b b
a c 0 a a b
c a a c b b
c a b c a b
c c c c 0 0
c c 0 c c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 2x2 + 0x3 + 13x4 + 8x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_a)2 (X_b)2 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-988

a 0 0 a a a
0 a a 0 a a
b 0 0 b b b
0 b b 0 b b
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b b 0 b b
0 b a 0 a a
b 0 0 b b b
b 0 c b a a
b b b b 0 0
b b a b c c
0 a a 0 a a
0 a b 0 b b
0 c c 0 c c
0 c 0 0 0 0
b a a b c c
b a b b 0 0
b c c b a a
b c 0 b b b
a 0 0 a a a
a 0 c a b b
a b b a c c
a b a a 0 0
c 0 0 c c c
c 0 c c 0 0
c b b c a a
c b a c b b
a a a a 0 0
a a b a c c
a c c a b b
a c 0 a a a
c a a c b b
c a b c a a
c c c c 0 0
c c 0 c c c

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 0x2 + 2x3 + 13x4 + 5x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)2 (X_b)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_b)4 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)3 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_b)4 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)3 (X_b)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_a)2 (X_b)2 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)4 + (X_a)3 (X_b)1 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)4 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-989

a 0 0 a a a
0 a a 0 a a
b 0 0 b b b
0 b b 0 b b
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b b 0 b b
0 b a c b b
b 0 0 b b b
b 0 c a b b
b b b b 0 0
b b a a 0 0
0 a a 0 a a
0 a b c a a
0 c c 0 c c
0 c 0 c c c
b a a b c c
b a b a c c
b c c b a a
b c 0 a a a
a 0 0 a a a
a 0 c b a a
a b b a c c
a b a b c c
c 0 0 c c c
c 0 c 0 c c
c b b c a a
c b a 0 a a
a a a a 0 0
a a b b 0 0
a c c a b b
a c 0 b b b
c a a c b b
c a b 0 b b
c c c c 0 0
c c 0 0 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 2x2 + 0x3 + 13x4 + 8x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_a)2 (X_b)2 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-990

a 0 0 a a a
0 a a 0 a a
b 0 0 b b b
0 b b 0 b b
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b b 0 b b
0 b a c b a
b 0 0 b b b
b 0 c a b a
b b b b 0 0
b b a a 0 c
0 a a 0 a a
0 a b c a b
0 c c 0 c c
0 c 0 c c 0
b a a b c c
b a b a c 0
b c c b a a
b c 0 a a b
a 0 0 a a a
a 0 c b a b
a b b a c c
a b a b c 0
c 0 0 c c c
c 0 c 0 c 0
c b b c a a
c b a 0 a b
a a a a 0 0
a a b b 0 c
a c c a b b
a c 0 b b a
c a a c b b
c a b 0 b a
c c c c 0 0
c c 0 0 0 c

dmin: 3
Weight Enumerator: 1x0 + 0x1 + 0x2 + 4x3 + 9x4 + 12x5 + 6x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-991

a 0 0 a a a
0 a a 0 a a
b 0 0 b b b
0 b b 0 b b
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b b 0 b b
0 b a c a b
b 0 0 b b b
b 0 c a a b
b b b b 0 0
b b a a c 0
0 a a 0 a a
0 a b c b a
0 c c 0 c c
0 c 0 c 0 c
b a a b c c
b a b a 0 c
b c c b a a
b c 0 a b a
a 0 0 a a a
a 0 c b b a
a b b a c c
a b a b 0 c
c 0 0 c c c
c 0 c 0 0 c
c b b c a a
c b a 0 b a
a a a a 0 0
a a b b c 0
a c c a b b
a c 0 b a b
c a a c b b
c a b 0 a b
c c c c 0 0
c c 0 0 c 0

dmin: 3
Weight Enumerator: 1x0 + 0x1 + 0x2 + 4x3 + 9x4 + 12x5 + 6x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-992

a 0 0 a a a
0 a a 0 a a
b 0 0 b b b
0 b b 0 b b
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b b 0 b b
0 b a c a a
b 0 0 b b b
b 0 c a a a
b b b b 0 0
b b a a c c
0 a a 0 a a
0 a b c b b
0 c c 0 c c
0 c 0 c 0 0
b a a b c c
b a b a 0 0
b c c b a a
b c 0 a b b
a 0 0 a a a
a 0 c b b b
a b b a c c
a b a b 0 0
c 0 0 c c c
c 0 c 0 0 0
c b b c a a
c b a 0 b b
a a a a 0 0
a a b b c c
a c c a b b
a c 0 b a a
c a a c b b
c a b 0 a a
c c c c 0 0
c c 0 0 c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 2x2 + 0x3 + 13x4 + 8x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)2 (X_b)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_b)4 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_a)2 (X_b)2 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-993

a 0 0 a a a
0 a a a 0 0
b 0 0 b b b
0 b b b 0 0
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b b b 0 0
0 b a b 0 0
b 0 0 b b b
b 0 c b b b
b b b 0 b b
b b a 0 b b
0 a a a 0 0
0 a b a 0 0
0 c c c 0 0
0 c 0 c 0 0
b a a c b b
b a b c b b
b c c a b b
b c 0 a b b
a 0 0 a a a
a 0 c a a a
a b b c a a
a b a c a a
c 0 0 c c c
c 0 c c c c
c b b a c c
c b a a c c
a a a 0 a a
a a b 0 a a
a c c b a a
a c 0 b a a
c a a b c c
c a b b c c
c c c 0 c c
c c 0 0 c c

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 1x2 + 5x3 + 4x4 + 10x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)3 (X_b)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)2 (X_b)4 + (X_0)1 (X_b)4 (X_c)1 + (X_0)1 (X_b)5 + (X_0)1 (X_a)1 (X_b)4 + (X_0)3 (X_a)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_a)2 (X_b)3 (X_c)1 + (X_a)1 (X_b)4 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)4 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)4 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_a)1 (X_b)2 (X_c)3 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)5 + (X_0)1 (X_a)4 (X_b)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-994

a 0 0 a a a
0 a a a 0 0
b 0 0 b b b
0 b b b 0 0
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b b b 0 0
0 b a b 0 c
b 0 0 b b b
b 0 c b b a
b b b 0 b b
b b a 0 b a
0 a a a 0 0
0 a b a 0 c
0 c c c 0 0
0 c 0 c 0 c
b a a c b b
b a b c b a
b c c a b b
b c 0 a b a
a 0 0 a a a
a 0 c a a b
a b b c a a
a b a c a b
c 0 0 c c c
c 0 c c c 0
c b b a c c
c b a a c 0
a a a 0 a a
a a b 0 a b
a c c b a a
a c 0 b a b
c a a b c c
c a b b c 0
c c c 0 c c
c c 0 0 c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 5x3 + 6x4 + 11x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_b)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_a)2 (X_b)3 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)5 + (X_0)1 (X_a)3 (X_b)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-995

a 0 0 a a a
0 a a a 0 0
b 0 0 b b b
0 b b b 0 0
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b b b 0 0
0 b a b c 0
b 0 0 b b b
b 0 c b a b
b b b 0 b b
b b a 0 a b
0 a a a 0 0
0 a b a c 0
0 c c c 0 0
0 c 0 c c 0
b a a c b b
b a b c a b
b c c a b b
b c 0 a a b
a 0 0 a a a
a 0 c a b a
a b b c a a
a b a c b a
c 0 0 c c c
c 0 c c 0 c
c b b a c c
c b a a 0 c
a a a 0 a a
a a b 0 b a
a c c b a a
a c 0 b b a
c a a b c c
c a b b 0 c
c c c 0 c c
c c 0 0 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 5x3 + 6x4 + 11x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_b)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_a)2 (X_b)3 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)5 + (X_0)1 (X_a)3 (X_b)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-996

a 0 0 a a a
0 a a a 0 0
b 0 0 b b b
0 b b b 0 0
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b b b 0 0
0 b a b c c
b 0 0 b b b
b 0 c b a a
b b b 0 b b
b b a 0 a a
0 a a a 0 0
0 a b a c c
0 c c c 0 0
0 c 0 c c c
b a a c b b
b a b c a a
b c c a b b
b c 0 a a a
a 0 0 a a a
a 0 c a b b
a b b c a a
a b a c b b
c 0 0 c c c
c 0 c c 0 0
c b b a c c
c b a a 0 0
a a a 0 a a
a a b 0 b b
a c c b a a
a c 0 b b b
c a a b c c
c a b b 0 0
c c c 0 c c
c c 0 0 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 5x3 + 6x4 + 11x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_b)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_a)2 (X_b)3 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)2 (X_b)3 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-997

a 0 0 a a a
0 a a a 0 0
b 0 0 b b b
0 b b b 0 0
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b b b 0 0
0 b a a 0 0
b 0 0 b b b
b 0 c a b b
b b b 0 b b
b b a c b b
0 a a a 0 0
0 a b b 0 0
0 c c c 0 0
0 c 0 0 0 0
b a a c b b
b a b 0 b b
b c c a b b
b c 0 b b b
a 0 0 a a a
a 0 c b a a
a b b c a a
a b a 0 a a
c 0 0 c c c
c 0 c 0 c c
c b b a c c
c b a b c c
a a a 0 a a
a a b c a a
a c c b a a
a c 0 a a a
c a a b c c
c a b a c c
c c c 0 c c
c c 0 c c c

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 1x2 + 5x3 + 4x4 + 10x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_b)5 + (X_a)1 (X_b)4 (X_c)1 + (X_0)3 (X_a)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)4 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_b)4 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)4 (X_b)1 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_a)1 (X_b)2 (X_c)3 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)5 + (X_a)4 (X_b)1 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)4 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-998

a 0 0 a a a
0 a a a 0 0
b 0 0 b b b
0 b b b 0 0
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b b b 0 0
0 b a a 0 c
b 0 0 b b b
b 0 c a b a
b b b 0 b b
b b a c b a
0 a a a 0 0
0 a b b 0 c
0 c c c 0 0
0 c 0 0 0 c
b a a c b b
b a b 0 b a
b c c a b b
b c 0 b b a
a 0 0 a a a
a 0 c b a b
a b b c a a
a b a 0 a b
c 0 0 c c c
c 0 c 0 c 0
c b b a c c
c b a b c 0
a a a 0 a a
a a b c a b
a c c b a a
a c 0 a a b
c a a b c c
c a b a c 0
c c c 0 c c
c c 0 c c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 5x3 + 6x4 + 11x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_b)5 + (X_a)2 (X_b)3 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)5 + (X_a)3 (X_b)2 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-999

a 0 0 a a a
0 a a a 0 0
b 0 0 b b b
0 b b b 0 0
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b b b 0 0
0 b a a c 0
b 0 0 b b b
b 0 c a a b
b b b 0 b b
b b a c a b
0 a a a 0 0
0 a b b c 0
0 c c c 0 0
0 c 0 0 c 0
b a a c b b
b a b 0 a b
b c c a b b
b c 0 b a b
a 0 0 a a a
a 0 c b b a
a b b c a a
a b a 0 b a
c 0 0 c c c
c 0 c 0 0 c
c b b a c c
c b a b 0 c
a a a 0 a a
a a b c b a
a c c b a a
a c 0 a b a
c a a b c c
c a b a 0 c
c c c 0 c c
c c 0 c 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 5x3 + 6x4 + 11x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_b)5 + (X_a)2 (X_b)3 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)5 + (X_a)3 (X_b)2 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1000

a 0 0 a a a
0 a a a 0 0
b 0 0 b b b
0 b b b 0 0
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b b b 0 0
0 b a a c c
b 0 0 b b b
b 0 c a a a
b b b 0 b b
b b a c a a
0 a a a 0 0
0 a b b c c
0 c c c 0 0
0 c 0 0 c c
b a a c b b
b a b 0 a a
b c c a b b
b c 0 b a a
a 0 0 a a a
a 0 c b b b
a b b c a a
a b a 0 b b
c 0 0 c c c
c 0 c 0 0 0
c b b a c c
c b a b 0 0
a a a 0 a a
a a b c b b
a c c b a a
a c 0 a b b
c a a b c c
c a b a 0 0
c c c 0 c c
c c 0 c 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 5x3 + 6x4 + 11x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)3 (X_b)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_b)5 + (X_a)3 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)5 + (X_a)2 (X_b)3 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1001

a 0 0 a a a
0 a a a 0 a
b 0 0 b b b
0 b b b 0 b
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b b b 0 b
0 b a b 0 b
b 0 0 b b b
b 0 c b b b
b b b 0 b 0
b b a 0 b 0
0 a a a 0 a
0 a b a 0 a
0 c c c 0 c
0 c 0 c 0 c
b a a c b c
b a b c b c
b c c a b a
b c 0 a b a
a 0 0 a a a
a 0 c a a a
a b b c a c
a b a c a c
c 0 0 c c c
c 0 c c c c
c b b a c a
c b a a c a
a a a 0 a 0
a a b 0 a 0
a c c b a b
a c 0 b a b
c a a b c b
c a b b c b
c c c 0 c 0
c c 0 0 c 0

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 0x2 + 2x3 + 13x4 + 5x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)2 (X_b)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)2 (X_b)4 + (X_0)1 (X_b)4 (X_c)1 + (X_0)2 (X_b)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)2 (X_a)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_a)2 (X_b)2 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)4 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_a)2 (X_b)2 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)4 + (X_0)2 (X_a)3 (X_b)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1002

a 0 0 a a a
0 a a a 0 a
b 0 0 b b b
0 b b b 0 b
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b b b 0 b
0 b a b 0 a
b 0 0 b b b
b 0 c b b a
b b b 0 b 0
b b a 0 b c
0 a a a 0 a
0 a b a 0 b
0 c c c 0 c
0 c 0 c 0 0
b a a c b c
b a b c b 0
b c c a b a
b c 0 a b b
a 0 0 a a a
a 0 c a a b
a b b c a c
a b a c a 0
c 0 0 c c c
c 0 c c c 0
c b b a c a
c b a a c b
a a a 0 a 0
a a b 0 a c
a c c b a b
a c 0 b a a
c a a b c b
c a b b c a
c c c 0 c 0
c c 0 0 c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 2x2 + 0x3 + 13x4 + 8x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_a)2 (X_b)2 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1003

a 0 0 a a a
0 a a a 0 a
b 0 0 b b b
0 b b b 0 b
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b b b 0 b
0 b a b c b
b 0 0 b b b
b 0 c b a b
b b b 0 b 0
b b a 0 a 0
0 a a a 0 a
0 a b a c a
0 c c c 0 c
0 c 0 c c c
b a a c b c
b a b c a c
b c c a b a
b c 0 a a a
a 0 0 a a a
a 0 c a b a
a b b c a c
a b a c b c
c 0 0 c c c
c 0 c c 0 c
c b b a c a
c b a a 0 a
a a a 0 a 0
a a b 0 b 0
a c c b a b
a c 0 b b b
c a a b c b
c a b b 0 b
c c c 0 c 0
c c 0 0 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 2x2 + 0x3 + 13x4 + 8x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_a)2 (X_b)2 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1004

a 0 0 a a a
0 a a a 0 a
b 0 0 b b b
0 b b b 0 b
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b b b 0 b
0 b a b c a
b 0 0 b b b
b 0 c b a a
b b b 0 b 0
b b a 0 a c
0 a a a 0 a
0 a b a c b
0 c c c 0 c
0 c 0 c c 0
b a a c b c
b a b c a 0
b c c a b a
b c 0 a a b
a 0 0 a a a
a 0 c a b b
a b b c a c
a b a c b 0
c 0 0 c c c
c 0 c c 0 0
c b b a c a
c b a a 0 b
a a a 0 a 0
a a b 0 b c
a c c b a b
a c 0 b b a
c a a b c b
c a b b 0 a
c c c 0 c 0
c c 0 0 0 c

dmin: 3
Weight Enumerator: 1x0 + 0x1 + 0x2 + 4x3 + 9x4 + 12x5 + 6x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1005

a 0 0 a a a
0 a a a 0 a
b 0 0 b b b
0 b b b 0 b
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b b b 0 b
0 b a a 0 b
b 0 0 b b b
b 0 c a b b
b b b 0 b 0
b b a c b 0
0 a a a 0 a
0 a b b 0 a
0 c c c 0 c
0 c 0 0 0 c
b a a c b c
b a b 0 b c
b c c a b a
b c 0 b b a
a 0 0 a a a
a 0 c b a a
a b b c a c
a b a 0 a c
c 0 0 c c c
c 0 c 0 c c
c b b a c a
c b a b c a
a a a 0 a 0
a a b c a 0
a c c b a b
a c 0 a a b
c a a b c b
c a b a c b
c c c 0 c 0
c c 0 c c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 2x2 + 0x3 + 13x4 + 8x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_a)2 (X_b)2 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1006

a 0 0 a a a
0 a a a 0 a
b 0 0 b b b
0 b b b 0 b
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b b b 0 b
0 b a a 0 a
b 0 0 b b b
b 0 c a b a
b b b 0 b 0
b b a c b c
0 a a a 0 a
0 a b b 0 b
0 c c c 0 c
0 c 0 0 0 0
b a a c b c
b a b 0 b 0
b c c a b a
b c 0 b b b
a 0 0 a a a
a 0 c b a b
a b b c a c
a b a 0 a 0
c 0 0 c c c
c 0 c 0 c 0
c b b a c a
c b a b c b
a a a 0 a 0
a a b c a c
a c c b a b
a c 0 a a a
c a a b c b
c a b a c a
c c c 0 c 0
c c 0 c c c

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 0x2 + 2x3 + 13x4 + 5x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)2 (X_b)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_b)4 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)3 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_b)4 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)3 (X_b)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_a)2 (X_b)2 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)4 + (X_a)3 (X_b)1 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)4 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1007

a 0 0 a a a
0 a a a 0 a
b 0 0 b b b
0 b b b 0 b
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b b b 0 b
0 b a a c b
b 0 0 b b b
b 0 c a a b
b b b 0 b 0
b b a c a 0
0 a a a 0 a
0 a b b c a
0 c c c 0 c
0 c 0 0 c c
b a a c b c
b a b 0 a c
b c c a b a
b c 0 b a a
a 0 0 a a a
a 0 c b b a
a b b c a c
a b a 0 b c
c 0 0 c c c
c 0 c 0 0 c
c b b a c a
c b a b 0 a
a a a 0 a 0
a a b c b 0
a c c b a b
a c 0 a b b
c a a b c b
c a b a 0 b
c c c 0 c 0
c c 0 c 0 0

dmin: 3
Weight Enumerator: 1x0 + 0x1 + 0x2 + 4x3 + 9x4 + 12x5 + 6x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1008

a 0 0 a a a
0 a a a 0 a
b 0 0 b b b
0 b b b 0 b
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b b b 0 b
0 b a a c a
b 0 0 b b b
b 0 c a a a
b b b 0 b 0
b b a c a c
0 a a a 0 a
0 a b b c b
0 c c c 0 c
0 c 0 0 c 0
b a a c b c
b a b 0 a 0
b c c a b a
b c 0 b a b
a 0 0 a a a
a 0 c b b b
a b b c a c
a b a 0 b 0
c 0 0 c c c
c 0 c 0 0 0
c b b a c a
c b a b 0 b
a a a 0 a 0
a a b c b c
a c c b a b
a c 0 a b a
c a a b c b
c a b a 0 a
c c c 0 c 0
c c 0 c 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 2x2 + 0x3 + 13x4 + 8x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)2 (X_b)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_b)4 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_a)2 (X_b)2 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1009

a 0 0 a a a
0 a a a a 0
b 0 0 b b b
0 b b b b 0
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b b b b 0
0 b a b b 0
b 0 0 b b b
b 0 c b b b
b b b 0 0 b
b b a 0 0 b
0 a a a a 0
0 a b a a 0
0 c c c c 0
0 c 0 c c 0
b a a c c b
b a b c c b
b c c a a b
b c 0 a a b
a 0 0 a a a
a 0 c a a a
a b b c c a
a b a c c a
c 0 0 c c c
c 0 c c c c
c b b a a c
c b a a a c
a a a 0 0 a
a a b 0 0 a
a c c b b a
a c 0 b b a
c a a b b c
c a b b b c
c c c 0 0 c
c c 0 0 0 c

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 0x2 + 2x3 + 13x4 + 5x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)2 (X_b)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)2 (X_b)4 + (X_0)1 (X_b)4 (X_c)1 + (X_0)2 (X_b)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)2 (X_a)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_a)2 (X_b)2 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)4 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_a)2 (X_b)2 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)4 + (X_0)2 (X_a)3 (X_b)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1010

a 0 0 a a a
0 a a a a 0
b 0 0 b b b
0 b b b b 0
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b b b b 0
0 b a b b c
b 0 0 b b b
b 0 c b b a
b b b 0 0 b
b b a 0 0 a
0 a a a a 0
0 a b a a c
0 c c c c 0
0 c 0 c c c
b a a c c b
b a b c c a
b c c a a b
b c 0 a a a
a 0 0 a a a
a 0 c a a b
a b b c c a
a b a c c b
c 0 0 c c c
c 0 c c c 0
c b b a a c
c b a a a 0
a a a 0 0 a
a a b 0 0 b
a c c b b a
a c 0 b b b
c a a b b c
c a b b b 0
c c c 0 0 c
c c 0 0 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 2x2 + 0x3 + 13x4 + 8x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_a)2 (X_b)2 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1011

a 0 0 a a a
0 a a a a 0
b 0 0 b b b
0 b b b b 0
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b b b b 0
0 b a b a 0
b 0 0 b b b
b 0 c b a b
b b b 0 0 b
b b a 0 c b
0 a a a a 0
0 a b a b 0
0 c c c c 0
0 c 0 c 0 0
b a a c c b
b a b c 0 b
b c c a a b
b c 0 a b b
a 0 0 a a a
a 0 c a b a
a b b c c a
a b a c 0 a
c 0 0 c c c
c 0 c c 0 c
c b b a a c
c b a a b c
a a a 0 0 a
a a b 0 c a
a c c b b a
a c 0 b a a
c a a b b c
c a b b a c
c c c 0 0 c
c c 0 0 c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 2x2 + 0x3 + 13x4 + 8x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_a)2 (X_b)2 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1012

a 0 0 a a a
0 a a a a 0
b 0 0 b b b
0 b b b b 0
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b b b b 0
0 b a b a c
b 0 0 b b b
b 0 c b a a
b b b 0 0 b
b b a 0 c a
0 a a a a 0
0 a b a b c
0 c c c c 0
0 c 0 c 0 c
b a a c c b
b a b c 0 a
b c c a a b
b c 0 a b a
a 0 0 a a a
a 0 c a b b
a b b c c a
a b a c 0 b
c 0 0 c c c
c 0 c c 0 0
c b b a a c
c b a a b 0
a a a 0 0 a
a a b 0 c b
a c c b b a
a c 0 b a b
c a a b b c
c a b b a 0
c c c 0 0 c
c c 0 0 c 0

dmin: 3
Weight Enumerator: 1x0 + 0x1 + 0x2 + 4x3 + 9x4 + 12x5 + 6x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1013

a 0 0 a a a
0 a a a a 0
b 0 0 b b b
0 b b b b 0
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b b b b 0
0 b a a b 0
b 0 0 b b b
b 0 c a b b
b b b 0 0 b
b b a c 0 b
0 a a a a 0
0 a b b a 0
0 c c c c 0
0 c 0 0 c 0
b a a c c b
b a b 0 c b
b c c a a b
b c 0 b a b
a 0 0 a a a
a 0 c b a a
a b b c c a
a b a 0 c a
c 0 0 c c c
c 0 c 0 c c
c b b a a c
c b a b a c
a a a 0 0 a
a a b c 0 a
a c c b b a
a c 0 a b a
c a a b b c
c a b a b c
c c c 0 0 c
c c 0 c 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 2x2 + 0x3 + 13x4 + 8x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_a)2 (X_b)2 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1014

a 0 0 a a a
0 a a a a 0
b 0 0 b b b
0 b b b b 0
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b b b b 0
0 b a a b c
b 0 0 b b b
b 0 c a b a
b b b 0 0 b
b b a c 0 a
0 a a a a 0
0 a b b a c
0 c c c c 0
0 c 0 0 c c
b a a c c b
b a b 0 c a
b c c a a b
b c 0 b a a
a 0 0 a a a
a 0 c b a b
a b b c c a
a b a 0 c b
c 0 0 c c c
c 0 c 0 c 0
c b b a a c
c b a b a 0
a a a 0 0 a
a a b c 0 b
a c c b b a
a c 0 a b b
c a a b b c
c a b a b 0
c c c 0 0 c
c c 0 c 0 0

dmin: 3
Weight Enumerator: 1x0 + 0x1 + 0x2 + 4x3 + 9x4 + 12x5 + 6x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1015

a 0 0 a a a
0 a a a a 0
b 0 0 b b b
0 b b b b 0
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b b b b 0
0 b a a a 0
b 0 0 b b b
b 0 c a a b
b b b 0 0 b
b b a c c b
0 a a a a 0
0 a b b b 0
0 c c c c 0
0 c 0 0 0 0
b a a c c b
b a b 0 0 b
b c c a a b
b c 0 b b b
a 0 0 a a a
a 0 c b b a
a b b c c a
a b a 0 0 a
c 0 0 c c c
c 0 c 0 0 c
c b b a a c
c b a b b c
a a a 0 0 a
a a b c c a
a c c b b a
a c 0 a a a
c a a b b c
c a b a a c
c c c 0 0 c
c c 0 c c c

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 0x2 + 2x3 + 13x4 + 5x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)2 (X_b)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_b)4 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)3 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_b)4 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)3 (X_b)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_a)2 (X_b)2 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)4 + (X_a)3 (X_b)1 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)4 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1016

a 0 0 a a a
0 a a a a 0
b 0 0 b b b
0 b b b b 0
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b b b b 0
0 b a a a c
b 0 0 b b b
b 0 c a a a
b b b 0 0 b
b b a c c a
0 a a a a 0
0 a b b b c
0 c c c c 0
0 c 0 0 0 c
b a a c c b
b a b 0 0 a
b c c a a b
b c 0 b b a
a 0 0 a a a
a 0 c b b b
a b b c c a
a b a 0 0 b
c 0 0 c c c
c 0 c 0 0 0
c b b a a c
c b a b b 0
a a a 0 0 a
a a b c c b
a c c b b a
a c 0 a a b
c a a b b c
c a b a a 0
c c c 0 0 c
c c 0 c c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 2x2 + 0x3 + 13x4 + 8x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)2 (X_b)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_b)4 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_a)2 (X_b)2 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1017

a 0 0 a a a
0 a a a a a
b 0 0 b b b
0 b b b b b
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b b b b b
0 b a b b b
b 0 0 b b b
b 0 c b b b
b b b 0 0 0
b b a 0 0 0
0 a a a a a
0 a b a a a
0 c c c c c
0 c 0 c c c
b a a c c c
b a b c c c
b c c a a a
b c 0 a a a
a 0 0 a a a
a 0 c a a a
a b b c c c
a b a c c c
c 0 0 c c c
c 0 c c c c
c b b a a a
c b a a a a
a a a 0 0 0
a a b 0 0 0
a c c b b b
a c 0 b b b
c a a b b b
c a b b b b
c c c 0 0 0
c c 0 0 0 0

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 1x2 + 5x3 + 4x4 + 10x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)1 (X_b)5 + (X_0)1 (X_a)1 (X_b)4 + (X_0)2 (X_b)4 + (X_0)1 (X_b)4 (X_c)1 + (X_0)3 (X_b)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)1 (X_a)5 + (X_0)1 (X_a)4 (X_b)1 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_a)2 (X_b)1 (X_c)3 + (X_a)1 (X_b)2 (X_c)3 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)4 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_a)3 (X_b)2 (X_c)1 + (X_a)4 (X_b)1 (X_c)1 + (X_0)3 (X_a)3 + (X_0)3 (X_a)2 (X_b)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)1 (X_b)4 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1018

a 0 0 a a a
0 a a a a a
b 0 0 b b b
0 b b b b b
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b b b b b
0 b a b b a
b 0 0 b b b
b 0 c b b a
b b b 0 0 0
b b a 0 0 c
0 a a a a a
0 a b a a b
0 c c c c c
0 c 0 c c 0
b a a c c c
b a b c c 0
b c c a a a
b c 0 a a b
a 0 0 a a a
a 0 c a a b
a b b c c c
a b a c c 0
c 0 0 c c c
c 0 c c c 0
c b b a a a
c b a a a b
a a a 0 0 0
a a b 0 0 c
a c c b b b
a c 0 b b a
c a a b b b
c a b b b a
c c c 0 0 0
c c 0 0 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 5x3 + 6x4 + 11x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)1 (X_b)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_a)3 (X_b)2 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1019

a 0 0 a a a
0 a a a a a
b 0 0 b b b
0 b b b b b
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b b b b b
0 b a b a b
b 0 0 b b b
b 0 c b a b
b b b 0 0 0
b b a 0 c 0
0 a a a a a
0 a b a b a
0 c c c c c
0 c 0 c 0 c
b a a c c c
b a b c 0 c
b c c a a a
b c 0 a b a
a 0 0 a a a
a 0 c a b a
a b b c c c
a b a c 0 c
c 0 0 c c c
c 0 c c 0 c
c b b a a a
c b a a b a
a a a 0 0 0
a a b 0 c 0
a c c b b b
a c 0 b a b
c a a b b b
c a b b a b
c c c 0 0 0
c c 0 0 c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 5x3 + 6x4 + 11x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)1 (X_b)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_a)3 (X_b)2 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1020

a 0 0 a a a
0 a a a a a
b 0 0 b b b
0 b b b b b
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b b b b b
0 b a b a a
b 0 0 b b b
b 0 c b a a
b b b 0 0 0
b b a 0 c c
0 a a a a a
0 a b a b b
0 c c c c c
0 c 0 c 0 0
b a a c c c
b a b c 0 0
b c c a a a
b c 0 a b b
a 0 0 a a a
a 0 c a b b
a b b c c c
a b a c 0 0
c 0 0 c c c
c 0 c c 0 0
c b b a a a
c b a a b b
a a a 0 0 0
a a b 0 c c
a c c b b b
a c 0 b a a
c a a b b b
c a b b a a
c c c 0 0 0
c c 0 0 c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 5x3 + 6x4 + 11x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)1 (X_b)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_a)3 (X_b)2 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1021

a 0 0 a a a
0 a a a a a
b 0 0 b b b
0 b b b b b
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b b b b b
0 b a a b b
b 0 0 b b b
b 0 c a b b
b b b 0 0 0
b b a c 0 0
0 a a a a a
0 a b b a a
0 c c c c c
0 c 0 0 c c
b a a c c c
b a b 0 c c
b c c a a a
b c 0 b a a
a 0 0 a a a
a 0 c b a a
a b b c c c
a b a 0 c c
c 0 0 c c c
c 0 c 0 c c
c b b a a a
c b a b a a
a a a 0 0 0
a a b c 0 0
a c c b b b
a c 0 a b b
c a a b b b
c a b a b b
c c c 0 0 0
c c 0 c 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 5x3 + 6x4 + 11x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)1 (X_b)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_a)3 (X_b)2 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1022

a 0 0 a a a
0 a a a a a
b 0 0 b b b
0 b b b b b
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b b b b b
0 b a a b a
b 0 0 b b b
b 0 c a b a
b b b 0 0 0
b b a c 0 c
0 a a a a a
0 a b b a b
0 c c c c c
0 c 0 0 c 0
b a a c c c
b a b 0 c 0
b c c a a a
b c 0 b a b
a 0 0 a a a
a 0 c b a b
a b b c c c
a b a 0 c 0
c 0 0 c c c
c 0 c 0 c 0
c b b a a a
c b a b a b
a a a 0 0 0
a a b c 0 c
a c c b b b
a c 0 a b a
c a a b b b
c a b a b a
c c c 0 0 0
c c 0 c 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 5x3 + 6x4 + 11x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)1 (X_b)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_a)3 (X_b)2 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1023

a 0 0 a a a
0 a a a a a
b 0 0 b b b
0 b b b b b
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b b b b b
0 b a a a b
b 0 0 b b b
b 0 c a a b
b b b 0 0 0
b b a c c 0
0 a a a a a
0 a b b b a
0 c c c c c
0 c 0 0 0 c
b a a c c c
b a b 0 0 c
b c c a a a
b c 0 b b a
a 0 0 a a a
a 0 c b b a
a b b c c c
a b a 0 0 c
c 0 0 c c c
c 0 c 0 0 c
c b b a a a
c b a b b a
a a a 0 0 0
a a b c c 0
a c c b b b
a c 0 a a b
c a a b b b
c a b a a b
c c c 0 0 0
c c 0 c c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 5x3 + 6x4 + 11x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)1 (X_b)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_a)3 (X_b)2 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1024

a 0 0 a a a
0 a a a a a
b 0 0 b b b
0 b b b b b
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b b b b b
0 b a a a a
b 0 0 b b b
b 0 c a a a
b b b 0 0 0
b b a c c c
0 a a a a a
0 a b b b b
0 c c c c c
0 c 0 0 0 0
b a a c c c
b a b 0 0 0
b c c a a a
b c 0 b b b
a 0 0 a a a
a 0 c b b b
a b b c c c
a b a 0 0 0
c 0 0 c c c
c 0 c 0 0 0
c b b a a a
c b a b b b
a a a 0 0 0
a a b c c c
a c c b b b
a c 0 a a a
c a a b b b
c a b a a a
c c c 0 0 0
c c 0 c c c

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 1x2 + 5x3 + 4x4 + 10x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)1 (X_b)5 + (X_0)1 (X_a)4 (X_b)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)3 (X_b)3 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)5 + (X_0)1 (X_a)1 (X_b)4 + (X_0)1 (X_c)5 + (X_0)5 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_a)1 (X_b)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_b)4 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_a)3 (X_b)2 (X_c)1 + (X_a)1 (X_b)4 (X_c)1 + (X_0)3 (X_a)3 + (X_a)2 (X_b)1 (X_c)3 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)4 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)4 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1025

a 0 a 0 0 0
0 a 0 0 0 0
b 0 b 0 0 0
0 b 0 0 0 0
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b 0 0 0 0
0 b c 0 0 0
b 0 b 0 0 0
b 0 a 0 0 0
b b b 0 0 0
b b a 0 0 0
0 a 0 0 0 0
0 a c 0 0 0
0 c 0 0 0 0
0 c c 0 0 0
b a b 0 0 0
b a a 0 0 0
b c b 0 0 0
b c a 0 0 0
a 0 a 0 0 0
a 0 b 0 0 0
a b a 0 0 0
a b b 0 0 0
c 0 c 0 0 0
c 0 0 0 0 0
c b c 0 0 0
c b 0 0 0 0
a a a 0 0 0
a a b 0 0 0
a c a 0 0 0
a c b 0 0 0
c a c 0 0 0
c a 0 0 0 0
c c c 0 0 0
c c 0 0 0 0

dmin: 1
Weight Enumerator: 1x0 + 5x1 + 11x2 + 15x3 + 0x4 + 0x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)5 (X_b)1 + (X_0)4 (X_b)1 (X_c)1 + (X_0)4 (X_b)2 + (X_0)4 (X_a)1 (X_b)1 + (X_0)3 (X_b)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)5 (X_a)1 + (X_0)4 (X_a)1 (X_c)1 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_a)1 (X_b)2 + (X_0)3 (X_a)2 (X_b)1 + (X_0)3 (X_b)2 (X_c)1 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)4 (X_a)2 + (X_0)4 (X_a)1 (X_b)1 + (X_0)3 (X_a)2 (X_b)1 + (X_0)3 (X_a)1 (X_b)2 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_b)1 (X_c)2 + (X_0)4 (X_b)1 (X_c)1 + (X_0)3 (X_a)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)3 (X_a)2 (X_c)1 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)3 (X_a)1 (X_c)2 + (X_0)4 (X_a)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 a a 0
0 0 0 a a a
0 0 0 a a b
0 0 0 a a c
0 0 0 a b 0
0 0 0 a b a
0 0 0 a b b
0 0 0 a b c
0 0 0 a c 0
0 0 0 a c a
0 0 0 a c b
0 0 0 a c c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 b a 0
0 0 0 b a a
0 0 0 b a b
0 0 0 b a c
0 0 0 b b 0
0 0 0 b b a
0 0 0 b b b
0 0 0 b b c
0 0 0 b c 0
0 0 0 b c a
0 0 0 b c b
0 0 0 b c c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c
0 0 0 c a 0
0 0 0 c a a
0 0 0 c a b
0 0 0 c a c
0 0 0 c b 0
0 0 0 c b a
0 0 0 c b b
0 0 0 c b c
0 0 0 c c 0
0 0 0 c c a
0 0 0 c c b
0 0 0 c c c

Is it a nice code?: No

Generator Matrix-1026

a 0 a 0 0 0
0 a 0 0 0 0
b 0 b 0 0 0
0 b 0 0 0 0
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b 0 0 0 0
0 b c 0 0 c
b 0 b 0 0 0
b 0 a 0 0 c
b b b 0 0 0
b b a 0 0 c
0 a 0 0 0 0
0 a c 0 0 c
0 c 0 0 0 0
0 c c 0 0 c
b a b 0 0 0
b a a 0 0 c
b c b 0 0 0
b c a 0 0 c
a 0 a 0 0 0
a 0 b 0 0 c
a b a 0 0 0
a b b 0 0 c
c 0 c 0 0 0
c 0 0 0 0 c
c b c 0 0 0
c b 0 0 0 c
a a a 0 0 0
a a b 0 0 c
a c a 0 0 0
a c b 0 0 c
c a c 0 0 0
c a 0 0 0 c
c c c 0 0 0
c c 0 0 0 c

dmin: 1
Weight Enumerator: 1x0 + 3x1 + 5x2 + 17x3 + 6x4 + 0x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)5 (X_b)1 + (X_0)3 (X_b)1 (X_c)2 + (X_0)4 (X_b)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)5 (X_a)1 + (X_0)3 (X_a)1 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_a)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)3 (X_a)2 (X_b)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_b)1 (X_c)2 + (X_0)3 (X_b)1 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_a)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_a)1 (X_c)2 + (X_0)3 (X_a)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 a a 0
0 0 0 a a a
0 0 0 a a b
0 0 0 a a c
0 0 0 a b 0
0 0 0 a b a
0 0 0 a b b
0 0 0 a b c
0 0 0 a c 0
0 0 0 a c a
0 0 0 a c b
0 0 0 a c c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 b a 0
0 0 0 b a a
0 0 0 b a b
0 0 0 b a c
0 0 0 b b 0
0 0 0 b b a
0 0 0 b b b
0 0 0 b b c
0 0 0 b c 0
0 0 0 b c a
0 0 0 b c b
0 0 0 b c c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c
0 0 0 c a 0
0 0 0 c a a
0 0 0 c a b
0 0 0 c a c
0 0 0 c b 0
0 0 0 c b a
0 0 0 c b b
0 0 0 c b c
0 0 0 c c 0
0 0 0 c c a
0 0 0 c c b
0 0 0 c c c

Is it a nice code?: No

Generator Matrix-1027

a 0 a 0 0 0
0 a 0 0 0 0
b 0 b 0 0 0
0 b 0 0 0 0
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b 0 0 0 0
0 b c 0 c 0
b 0 b 0 0 0
b 0 a 0 c 0
b b b 0 0 0
b b a 0 c 0
0 a 0 0 0 0
0 a c 0 c 0
0 c 0 0 0 0
0 c c 0 c 0
b a b 0 0 0
b a a 0 c 0
b c b 0 0 0
b c a 0 c 0
a 0 a 0 0 0
a 0 b 0 c 0
a b a 0 0 0
a b b 0 c 0
c 0 c 0 0 0
c 0 0 0 c 0
c b c 0 0 0
c b 0 0 c 0
a a a 0 0 0
a a b 0 c 0
a c a 0 0 0
a c b 0 c 0
c a c 0 0 0
c a 0 0 c 0
c c c 0 0 0
c c 0 0 c 0

dmin: 1
Weight Enumerator: 1x0 + 3x1 + 5x2 + 17x3 + 6x4 + 0x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)5 (X_b)1 + (X_0)3 (X_b)1 (X_c)2 + (X_0)4 (X_b)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)5 (X_a)1 + (X_0)3 (X_a)1 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_a)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)3 (X_a)2 (X_b)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_b)1 (X_c)2 + (X_0)3 (X_b)1 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_a)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_a)1 (X_c)2 + (X_0)3 (X_a)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 a a 0
0 0 0 a a a
0 0 0 a a b
0 0 0 a a c
0 0 0 a b 0
0 0 0 a b a
0 0 0 a b b
0 0 0 a b c
0 0 0 a c 0
0 0 0 a c a
0 0 0 a c b
0 0 0 a c c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 b a 0
0 0 0 b a a
0 0 0 b a b
0 0 0 b a c
0 0 0 b b 0
0 0 0 b b a
0 0 0 b b b
0 0 0 b b c
0 0 0 b c 0
0 0 0 b c a
0 0 0 b c b
0 0 0 b c c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c
0 0 0 c a 0
0 0 0 c a a
0 0 0 c a b
0 0 0 c a c
0 0 0 c b 0
0 0 0 c b a
0 0 0 c b b
0 0 0 c b c
0 0 0 c c 0
0 0 0 c c a
0 0 0 c c b
0 0 0 c c c

Is it a nice code?: No

Generator Matrix-1028

a 0 a 0 0 0
0 a 0 0 0 0
b 0 b 0 0 0
0 b 0 0 0 0
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b 0 0 0 0
0 b c 0 c c
b 0 b 0 0 0
b 0 a 0 c c
b b b 0 0 0
b b a 0 c c
0 a 0 0 0 0
0 a c 0 c c
0 c 0 0 0 0
0 c c 0 c c
b a b 0 0 0
b a a 0 c c
b c b 0 0 0
b c a 0 c c
a 0 a 0 0 0
a 0 b 0 c c
a b a 0 0 0
a b b 0 c c
c 0 c 0 0 0
c 0 0 0 c c
c b c 0 0 0
c b 0 0 c c
a a a 0 0 0
a a b 0 c c
a c a 0 0 0
a c b 0 c c
c a c 0 0 0
c a 0 0 c c
c c c 0 0 0
c c 0 0 c c

dmin: 1
Weight Enumerator: 1x0 + 3x1 + 3x2 + 11x3 + 8x4 + 6x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)5 (X_b)1 + (X_0)2 (X_b)1 (X_c)3 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)5 (X_a)1 + (X_0)2 (X_a)1 (X_c)3 + (X_0)5 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_a)1 (X_b)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_a)2 (X_b)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_b)1 (X_c)2 + (X_0)2 (X_b)1 (X_c)3 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_a)1 (X_c)2 + (X_0)2 (X_a)1 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 a a 0
0 0 0 a a a
0 0 0 a a b
0 0 0 a a c
0 0 0 a b 0
0 0 0 a b a
0 0 0 a b b
0 0 0 a b c
0 0 0 a c 0
0 0 0 a c a
0 0 0 a c b
0 0 0 a c c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 b a 0
0 0 0 b a a
0 0 0 b a b
0 0 0 b a c
0 0 0 b b 0
0 0 0 b b a
0 0 0 b b b
0 0 0 b b c
0 0 0 b c 0
0 0 0 b c a
0 0 0 b c b
0 0 0 b c c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c
0 0 0 c a 0
0 0 0 c a a
0 0 0 c a b
0 0 0 c a c
0 0 0 c b 0
0 0 0 c b a
0 0 0 c b b
0 0 0 c b c
0 0 0 c c 0
0 0 0 c c a
0 0 0 c c b
0 0 0 c c c

Is it a nice code?: No

Generator Matrix-1029

a 0 a 0 0 0
0 a 0 0 0 0
b 0 b 0 0 0
0 b 0 0 0 0
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b 0 0 0 0
0 b c c 0 0
b 0 b 0 0 0
b 0 a c 0 0
b b b 0 0 0
b b a c 0 0
0 a 0 0 0 0
0 a c c 0 0
0 c 0 0 0 0
0 c c c 0 0
b a b 0 0 0
b a a c 0 0
b c b 0 0 0
b c a c 0 0
a 0 a 0 0 0
a 0 b c 0 0
a b a 0 0 0
a b b c 0 0
c 0 c 0 0 0
c 0 0 c 0 0
c b c 0 0 0
c b 0 c 0 0
a a a 0 0 0
a a b c 0 0
a c a 0 0 0
a c b c 0 0
c a c 0 0 0
c a 0 c 0 0
c c c 0 0 0
c c 0 c 0 0

dmin: 1
Weight Enumerator: 1x0 + 3x1 + 5x2 + 17x3 + 6x4 + 0x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)5 (X_b)1 + (X_0)3 (X_b)1 (X_c)2 + (X_0)4 (X_b)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)5 (X_a)1 + (X_0)3 (X_a)1 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_a)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)3 (X_a)2 (X_b)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_b)1 (X_c)2 + (X_0)3 (X_b)1 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_a)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_a)1 (X_c)2 + (X_0)3 (X_a)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 a a 0
0 0 0 a a a
0 0 0 a a b
0 0 0 a a c
0 0 0 a b 0
0 0 0 a b a
0 0 0 a b b
0 0 0 a b c
0 0 0 a c 0
0 0 0 a c a
0 0 0 a c b
0 0 0 a c c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 b a 0
0 0 0 b a a
0 0 0 b a b
0 0 0 b a c
0 0 0 b b 0
0 0 0 b b a
0 0 0 b b b
0 0 0 b b c
0 0 0 b c 0
0 0 0 b c a
0 0 0 b c b
0 0 0 b c c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c
0 0 0 c a 0
0 0 0 c a a
0 0 0 c a b
0 0 0 c a c
0 0 0 c b 0
0 0 0 c b a
0 0 0 c b b
0 0 0 c b c
0 0 0 c c 0
0 0 0 c c a
0 0 0 c c b
0 0 0 c c c

Is it a nice code?: No

Generator Matrix-1030

a 0 a 0 0 0
0 a 0 0 0 0
b 0 b 0 0 0
0 b 0 0 0 0
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b 0 0 0 0
0 b c c 0 c
b 0 b 0 0 0
b 0 a c 0 c
b b b 0 0 0
b b a c 0 c
0 a 0 0 0 0
0 a c c 0 c
0 c 0 0 0 0
0 c c c 0 c
b a b 0 0 0
b a a c 0 c
b c b 0 0 0
b c a c 0 c
a 0 a 0 0 0
a 0 b c 0 c
a b a 0 0 0
a b b c 0 c
c 0 c 0 0 0
c 0 0 c 0 c
c b c 0 0 0
c b 0 c 0 c
a a a 0 0 0
a a b c 0 c
a c a 0 0 0
a c b c 0 c
c a c 0 0 0
c a 0 c 0 c
c c c 0 0 0
c c 0 c 0 c

dmin: 1
Weight Enumerator: 1x0 + 3x1 + 3x2 + 11x3 + 8x4 + 6x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)5 (X_b)1 + (X_0)2 (X_b)1 (X_c)3 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)5 (X_a)1 + (X_0)2 (X_a)1 (X_c)3 + (X_0)5 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_a)1 (X_b)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_a)2 (X_b)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_b)1 (X_c)2 + (X_0)2 (X_b)1 (X_c)3 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_a)1 (X_c)2 + (X_0)2 (X_a)1 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 a a 0
0 0 0 a a a
0 0 0 a a b
0 0 0 a a c
0 0 0 a b 0
0 0 0 a b a
0 0 0 a b b
0 0 0 a b c
0 0 0 a c 0
0 0 0 a c a
0 0 0 a c b
0 0 0 a c c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 b a 0
0 0 0 b a a
0 0 0 b a b
0 0 0 b a c
0 0 0 b b 0
0 0 0 b b a
0 0 0 b b b
0 0 0 b b c
0 0 0 b c 0
0 0 0 b c a
0 0 0 b c b
0 0 0 b c c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c
0 0 0 c a 0
0 0 0 c a a
0 0 0 c a b
0 0 0 c a c
0 0 0 c b 0
0 0 0 c b a
0 0 0 c b b
0 0 0 c b c
0 0 0 c c 0
0 0 0 c c a
0 0 0 c c b
0 0 0 c c c

Is it a nice code?: No

Generator Matrix-1031

a 0 a 0 0 0
0 a 0 0 0 0
b 0 b 0 0 0
0 b 0 0 0 0
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b 0 0 0 0
0 b c c c 0
b 0 b 0 0 0
b 0 a c c 0
b b b 0 0 0
b b a c c 0
0 a 0 0 0 0
0 a c c c 0
0 c 0 0 0 0
0 c c c c 0
b a b 0 0 0
b a a c c 0
b c b 0 0 0
b c a c c 0
a 0 a 0 0 0
a 0 b c c 0
a b a 0 0 0
a b b c c 0
c 0 c 0 0 0
c 0 0 c c 0
c b c 0 0 0
c b 0 c c 0
a a a 0 0 0
a a b c c 0
a c a 0 0 0
a c b c c 0
c a c 0 0 0
c a 0 c c 0
c c c 0 0 0
c c 0 c c 0

dmin: 1
Weight Enumerator: 1x0 + 3x1 + 3x2 + 11x3 + 8x4 + 6x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)5 (X_b)1 + (X_0)2 (X_b)1 (X_c)3 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)5 (X_a)1 + (X_0)2 (X_a)1 (X_c)3 + (X_0)5 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_a)1 (X_b)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_a)2 (X_b)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_b)1 (X_c)2 + (X_0)2 (X_b)1 (X_c)3 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_a)1 (X_c)2 + (X_0)2 (X_a)1 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 a a 0
0 0 0 a a a
0 0 0 a a b
0 0 0 a a c
0 0 0 a b 0
0 0 0 a b a
0 0 0 a b b
0 0 0 a b c
0 0 0 a c 0
0 0 0 a c a
0 0 0 a c b
0 0 0 a c c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 b a 0
0 0 0 b a a
0 0 0 b a b
0 0 0 b a c
0 0 0 b b 0
0 0 0 b b a
0 0 0 b b b
0 0 0 b b c
0 0 0 b c 0
0 0 0 b c a
0 0 0 b c b
0 0 0 b c c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c
0 0 0 c a 0
0 0 0 c a a
0 0 0 c a b
0 0 0 c a c
0 0 0 c b 0
0 0 0 c b a
0 0 0 c b b
0 0 0 c b c
0 0 0 c c 0
0 0 0 c c a
0 0 0 c c b
0 0 0 c c c

Is it a nice code?: No

Generator Matrix-1032

a 0 a 0 0 0
0 a 0 0 0 0
b 0 b 0 0 0
0 b 0 0 0 0
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b 0 0 0 0
0 b c c c c
b 0 b 0 0 0
b 0 a c c c
b b b 0 0 0
b b a c c c
0 a 0 0 0 0
0 a c c c c
0 c 0 0 0 0
0 c c c c c
b a b 0 0 0
b a a c c c
b c b 0 0 0
b c a c c c
a 0 a 0 0 0
a 0 b c c c
a b a 0 0 0
a b b c c c
c 0 c 0 0 0
c 0 0 c c c
c b c 0 0 0
c b 0 c c c
a a a 0 0 0
a a b c c c
a c a 0 0 0
a c b c c c
c a c 0 0 0
c a 0 c c c
c c c 0 0 0
c c 0 c c c

dmin: 1
Weight Enumerator: 1x0 + 3x1 + 3x2 + 9x3 + 2x4 + 8x5 + 6x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)5 (X_b)1 + (X_0)1 (X_b)1 (X_c)4 + (X_0)4 (X_b)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_b)3 + (X_a)1 (X_b)2 (X_c)3 + (X_0)5 (X_a)1 + (X_0)1 (X_a)1 (X_c)4 + (X_0)5 (X_c)1 + (X_0)1 (X_c)5 + (X_0)3 (X_a)1 (X_b)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_b)2 (X_c)1 + (X_a)1 (X_b)1 (X_c)4 + (X_0)4 (X_a)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_a)2 (X_b)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_b)1 (X_c)2 + (X_0)1 (X_b)1 (X_c)4 + (X_0)3 (X_a)3 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_a)2 (X_c)1 + (X_a)1 (X_b)1 (X_c)4 + (X_0)3 (X_a)1 (X_c)2 + (X_0)1 (X_a)1 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 a a 0
0 0 0 a a a
0 0 0 a a b
0 0 0 a a c
0 0 0 a b 0
0 0 0 a b a
0 0 0 a b b
0 0 0 a b c
0 0 0 a c 0
0 0 0 a c a
0 0 0 a c b
0 0 0 a c c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 b a 0
0 0 0 b a a
0 0 0 b a b
0 0 0 b a c
0 0 0 b b 0
0 0 0 b b a
0 0 0 b b b
0 0 0 b b c
0 0 0 b c 0
0 0 0 b c a
0 0 0 b c b
0 0 0 b c c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c
0 0 0 c a 0
0 0 0 c a a
0 0 0 c a b
0 0 0 c a c
0 0 0 c b 0
0 0 0 c b a
0 0 0 c b b
0 0 0 c b c
0 0 0 c c 0
0 0 0 c c a
0 0 0 c c b
0 0 0 c c c

Is it a nice code?: No

Generator Matrix-1033

a 0 a 0 0 0
0 a 0 0 0 a
b 0 b 0 0 0
0 b 0 0 0 b
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b 0 0 0 b
0 b c 0 0 b
b 0 b 0 0 0
b 0 a 0 0 0
b b b 0 0 b
b b a 0 0 b
0 a 0 0 0 a
0 a c 0 0 a
0 c 0 0 0 c
0 c c 0 0 c
b a b 0 0 a
b a a 0 0 a
b c b 0 0 c
b c a 0 0 c
a 0 a 0 0 0
a 0 b 0 0 0
a b a 0 0 b
a b b 0 0 b
c 0 c 0 0 0
c 0 0 0 0 0
c b c 0 0 b
c b 0 0 0 b
a a a 0 0 a
a a b 0 0 a
a c a 0 0 c
a c b 0 0 c
c a c 0 0 a
c a 0 0 0 a
c c c 0 0 c
c c 0 0 0 c

dmin: 1
Weight Enumerator: 1x0 + 2x1 + 8x2 + 6x3 + 15x4 + 0x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)4 (X_b)2 + (X_0)3 (X_b)2 (X_c)1 + (X_0)4 (X_b)2 + (X_0)4 (X_a)1 (X_b)1 + (X_0)2 (X_b)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)4 (X_a)2 + (X_0)3 (X_a)2 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_a)3 (X_b)1 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_a)2 + (X_0)4 (X_a)1 (X_b)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_a)1 (X_b)3 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)2 (X_b)2 (X_c)2 + (X_0)3 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)3 (X_a)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 0 a 0 0
0 0 0 a a 0
0 0 0 a b 0
0 0 0 a c 0
0 0 0 b 0 0
0 0 0 b a 0
0 0 0 b b 0
0 0 0 b c 0
0 0 0 c 0 0
0 0 0 c a 0
0 0 0 c b 0
0 0 0 c c 0

Is it a nice code?: No

Generator Matrix-1034

a 0 a 0 0 0
0 a 0 0 0 a
b 0 b 0 0 0
0 b 0 0 0 b
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b 0 0 0 b
0 b c 0 0 a
b 0 b 0 0 0
b 0 a 0 0 c
b b b 0 0 b
b b a 0 0 a
0 a 0 0 0 a
0 a c 0 0 b
0 c 0 0 0 c
0 c c 0 0 0
b a b 0 0 a
b a a 0 0 b
b c b 0 0 c
b c a 0 0 0
a 0 a 0 0 0
a 0 b 0 0 c
a b a 0 0 b
a b b 0 0 a
c 0 c 0 0 0
c 0 0 0 0 c
c b c 0 0 b
c b 0 0 0 a
a a a 0 0 a
a a b 0 0 b
a c a 0 0 c
a c b 0 0 0
c a c 0 0 a
c a 0 0 0 b
c c c 0 0 c
c c 0 0 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 10x2 + 8x3 + 13x4 + 0x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_b)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)4 (X_b)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)4 (X_a)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)4 (X_a)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_c)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 0 a 0 0
0 0 0 a a 0
0 0 0 a b 0
0 0 0 a c 0
0 0 0 b 0 0
0 0 0 b a 0
0 0 0 b b 0
0 0 0 b c 0
0 0 0 c 0 0
0 0 0 c a 0
0 0 0 c b 0
0 0 0 c c 0

Is it a nice code?: No

Generator Matrix-1035

a 0 a 0 0 0
0 a 0 0 0 a
b 0 b 0 0 0
0 b 0 0 0 b
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b 0 0 0 b
0 b c 0 c b
b 0 b 0 0 0
b 0 a 0 c 0
b b b 0 0 b
b b a 0 c b
0 a 0 0 0 a
0 a c 0 c a
0 c 0 0 0 c
0 c c 0 c c
b a b 0 0 a
b a a 0 c a
b c b 0 0 c
b c a 0 c c
a 0 a 0 0 0
a 0 b 0 c 0
a b a 0 0 b
a b b 0 c b
c 0 c 0 0 0
c 0 0 0 c 0
c b c 0 0 b
c b 0 0 c b
a a a 0 0 a
a a b 0 c a
a c a 0 0 c
a c b 0 c c
c a c 0 0 a
c a 0 0 c a
c c c 0 0 c
c c 0 0 c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 8x2 + 2x3 + 15x4 + 6x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)4 (X_b)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_a)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 0 a 0 0
0 0 0 a a 0
0 0 0 a b 0
0 0 0 a c 0
0 0 0 b 0 0
0 0 0 b a 0
0 0 0 b b 0
0 0 0 b c 0
0 0 0 c 0 0
0 0 0 c a 0
0 0 0 c b 0
0 0 0 c c 0

Is it a nice code?: No

Generator Matrix-1036

a 0 a 0 0 0
0 a 0 0 0 a
b 0 b 0 0 0
0 b 0 0 0 b
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b 0 0 0 b
0 b c 0 c a
b 0 b 0 0 0
b 0 a 0 c c
b b b 0 0 b
b b a 0 c a
0 a 0 0 0 a
0 a c 0 c b
0 c 0 0 0 c
0 c c 0 c 0
b a b 0 0 a
b a a 0 c b
b c b 0 0 c
b c a 0 c 0
a 0 a 0 0 0
a 0 b 0 c c
a b a 0 0 b
a b b 0 c a
c 0 c 0 0 0
c 0 0 0 c c
c b c 0 0 b
c b 0 0 c a
a a a 0 0 a
a a b 0 c b
a c a 0 0 c
a c b 0 c 0
c a c 0 0 a
c a 0 0 c b
c c c 0 0 c
c c 0 0 c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 6x2 + 4x3 + 17x4 + 4x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 0 a 0 0
0 0 0 a a 0
0 0 0 a b 0
0 0 0 a c 0
0 0 0 b 0 0
0 0 0 b a 0
0 0 0 b b 0
0 0 0 b c 0
0 0 0 c 0 0
0 0 0 c a 0
0 0 0 c b 0
0 0 0 c c 0

Is it a nice code?: No

Generator Matrix-1037

a 0 a 0 0 0
0 a 0 0 0 a
b 0 b 0 0 0
0 b 0 0 0 b
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b 0 0 0 b
0 b c c 0 b
b 0 b 0 0 0
b 0 a c 0 0
b b b 0 0 b
b b a c 0 b
0 a 0 0 0 a
0 a c c 0 a
0 c 0 0 0 c
0 c c c 0 c
b a b 0 0 a
b a a c 0 a
b c b 0 0 c
b c a c 0 c
a 0 a 0 0 0
a 0 b c 0 0
a b a 0 0 b
a b b c 0 b
c 0 c 0 0 0
c 0 0 c 0 0
c b c 0 0 b
c b 0 c 0 b
a a a 0 0 a
a a b c 0 a
a c a 0 0 c
a c b c 0 c
c a c 0 0 a
c a 0 c 0 a
c c c 0 0 c
c c 0 c 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 8x2 + 2x3 + 15x4 + 6x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)4 (X_b)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_a)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 0 a 0 0
0 0 0 a a 0
0 0 0 a b 0
0 0 0 a c 0
0 0 0 b 0 0
0 0 0 b a 0
0 0 0 b b 0
0 0 0 b c 0
0 0 0 c 0 0
0 0 0 c a 0
0 0 0 c b 0
0 0 0 c c 0

Is it a nice code?: No

Generator Matrix-1038

a 0 a 0 0 0
0 a 0 0 0 a
b 0 b 0 0 0
0 b 0 0 0 b
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b 0 0 0 b
0 b c c 0 a
b 0 b 0 0 0
b 0 a c 0 c
b b b 0 0 b
b b a c 0 a
0 a 0 0 0 a
0 a c c 0 b
0 c 0 0 0 c
0 c c c 0 0
b a b 0 0 a
b a a c 0 b
b c b 0 0 c
b c a c 0 0
a 0 a 0 0 0
a 0 b c 0 c
a b a 0 0 b
a b b c 0 a
c 0 c 0 0 0
c 0 0 c 0 c
c b c 0 0 b
c b 0 c 0 a
a a a 0 0 a
a a b c 0 b
a c a 0 0 c
a c b c 0 0
c a c 0 0 a
c a 0 c 0 b
c c c 0 0 c
c c 0 c 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 6x2 + 4x3 + 17x4 + 4x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 0 a 0 0
0 0 0 a a 0
0 0 0 a b 0
0 0 0 a c 0
0 0 0 b 0 0
0 0 0 b a 0
0 0 0 b b 0
0 0 0 b c 0
0 0 0 c 0 0
0 0 0 c a 0
0 0 0 c b 0
0 0 0 c c 0

Is it a nice code?: No

Generator Matrix-1039

a 0 a 0 0 0
0 a 0 0 0 a
b 0 b 0 0 0
0 b 0 0 0 b
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b 0 0 0 b
0 b c c c b
b 0 b 0 0 0
b 0 a c c 0
b b b 0 0 b
b b a c c b
0 a 0 0 0 a
0 a c c c a
0 c 0 0 0 c
0 c c c c c
b a b 0 0 a
b a a c c a
b c b 0 0 c
b c a c c c
a 0 a 0 0 0
a 0 b c c 0
a b a 0 0 b
a b b c c b
c 0 c 0 0 0
c 0 0 c c 0
c b c 0 0 b
c b 0 c c b
a a a 0 0 a
a a b c c a
a c a 0 0 c
a c b c c c
c a c 0 0 a
c a 0 c c a
c c c 0 0 c
c c 0 c c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 6x2 + 2x3 + 11x4 + 6x5 + 6x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)4 (X_b)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_b)4 + (X_a)1 (X_b)3 (X_c)2 + (X_0)4 (X_a)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5 + (X_0)2 (X_a)2 (X_b)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_b)2 (X_c)2 + (X_a)1 (X_b)1 (X_c)4 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_b)2 (X_c)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)4 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_c)2 + (X_a)1 (X_b)1 (X_c)4 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 0 a 0 0
0 0 0 a a 0
0 0 0 a b 0
0 0 0 a c 0
0 0 0 b 0 0
0 0 0 b a 0
0 0 0 b b 0
0 0 0 b c 0
0 0 0 c 0 0
0 0 0 c a 0
0 0 0 c b 0
0 0 0 c c 0

Is it a nice code?: No

Generator Matrix-1040

a 0 a 0 0 0
0 a 0 0 0 a
b 0 b 0 0 0
0 b 0 0 0 b
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b 0 0 0 b
0 b c c c a
b 0 b 0 0 0
b 0 a c c c
b b b 0 0 b
b b a c c a
0 a 0 0 0 a
0 a c c c b
0 c 0 0 0 c
0 c c c c 0
b a b 0 0 a
b a a c c b
b c b 0 0 c
b c a c c 0
a 0 a 0 0 0
a 0 b c c c
a b a 0 0 b
a b b c c a
c 0 c 0 0 0
c 0 0 c c c
c b c 0 0 b
c b 0 c c a
a a a 0 0 a
a a b c c b
a c a 0 0 c
a c b c c 0
c a c 0 0 a
c a 0 c c b
c c c 0 0 c
c c 0 c c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 6x2 + 0x3 + 13x4 + 8x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)4 (X_b)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_b)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_b)4 + (X_a)2 (X_b)2 (X_c)2 + (X_0)4 (X_a)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_a)2 (X_b)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_a)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)2 (X_b)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)4 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 0 a 0 0
0 0 0 a a 0
0 0 0 a b 0
0 0 0 a c 0
0 0 0 b 0 0
0 0 0 b a 0
0 0 0 b b 0
0 0 0 b c 0
0 0 0 c 0 0
0 0 0 c a 0
0 0 0 c b 0
0 0 0 c c 0

Is it a nice code?: No

Generator Matrix-1041

a 0 a 0 0 0
0 a 0 0 a 0
b 0 b 0 0 0
0 b 0 0 b 0
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b 0 0 b 0
0 b c 0 b 0
b 0 b 0 0 0
b 0 a 0 0 0
b b b 0 b 0
b b a 0 b 0
0 a 0 0 a 0
0 a c 0 a 0
0 c 0 0 c 0
0 c c 0 c 0
b a b 0 a 0
b a a 0 a 0
b c b 0 c 0
b c a 0 c 0
a 0 a 0 0 0
a 0 b 0 0 0
a b a 0 b 0
a b b 0 b 0
c 0 c 0 0 0
c 0 0 0 0 0
c b c 0 b 0
c b 0 0 b 0
a a a 0 a 0
a a b 0 a 0
a c a 0 c 0
a c b 0 c 0
c a c 0 a 0
c a 0 0 a 0
c c c 0 c 0
c c 0 0 c 0

dmin: 1
Weight Enumerator: 1x0 + 2x1 + 8x2 + 6x3 + 15x4 + 0x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)4 (X_b)2 + (X_0)3 (X_b)2 (X_c)1 + (X_0)4 (X_b)2 + (X_0)4 (X_a)1 (X_b)1 + (X_0)2 (X_b)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)4 (X_a)2 + (X_0)3 (X_a)2 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_a)3 (X_b)1 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_a)2 + (X_0)4 (X_a)1 (X_b)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_a)1 (X_b)3 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)2 (X_b)2 (X_c)2 + (X_0)3 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)3 (X_a)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c

Is it a nice code?: No

Generator Matrix-1042

a 0 a 0 0 0
0 a 0 0 a 0
b 0 b 0 0 0
0 b 0 0 b 0
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b 0 0 b 0
0 b c 0 b c
b 0 b 0 0 0
b 0 a 0 0 c
b b b 0 b 0
b b a 0 b c
0 a 0 0 a 0
0 a c 0 a c
0 c 0 0 c 0
0 c c 0 c c
b a b 0 a 0
b a a 0 a c
b c b 0 c 0
b c a 0 c c
a 0 a 0 0 0
a 0 b 0 0 c
a b a 0 b 0
a b b 0 b c
c 0 c 0 0 0
c 0 0 0 0 c
c b c 0 b 0
c b 0 0 b c
a a a 0 a 0
a a b 0 a c
a c a 0 c 0
a c b 0 c c
c a c 0 a 0
c a 0 0 a c
c c c 0 c 0
c c 0 0 c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 8x2 + 2x3 + 15x4 + 6x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)4 (X_b)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_a)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c

Is it a nice code?: No

Generator Matrix-1043

a 0 a 0 0 0
0 a 0 0 a 0
b 0 b 0 0 0
0 b 0 0 b 0
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b 0 0 b 0
0 b c 0 a 0
b 0 b 0 0 0
b 0 a 0 c 0
b b b 0 b 0
b b a 0 a 0
0 a 0 0 a 0
0 a c 0 b 0
0 c 0 0 c 0
0 c c 0 0 0
b a b 0 a 0
b a a 0 b 0
b c b 0 c 0
b c a 0 0 0
a 0 a 0 0 0
a 0 b 0 c 0
a b a 0 b 0
a b b 0 a 0
c 0 c 0 0 0
c 0 0 0 c 0
c b c 0 b 0
c b 0 0 a 0
a a a 0 a 0
a a b 0 b 0
a c a 0 c 0
a c b 0 0 0
c a c 0 a 0
c a 0 0 b 0
c c c 0 c 0
c c 0 0 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 10x2 + 8x3 + 13x4 + 0x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_b)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)4 (X_b)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)4 (X_a)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)4 (X_a)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_c)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c

Is it a nice code?: No

Generator Matrix-1044

a 0 a 0 0 0
0 a 0 0 a 0
b 0 b 0 0 0
0 b 0 0 b 0
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b 0 0 b 0
0 b c 0 a c
b 0 b 0 0 0
b 0 a 0 c c
b b b 0 b 0
b b a 0 a c
0 a 0 0 a 0
0 a c 0 b c
0 c 0 0 c 0
0 c c 0 0 c
b a b 0 a 0
b a a 0 b c
b c b 0 c 0
b c a 0 0 c
a 0 a 0 0 0
a 0 b 0 c c
a b a 0 b 0
a b b 0 a c
c 0 c 0 0 0
c 0 0 0 c c
c b c 0 b 0
c b 0 0 a c
a a a 0 a 0
a a b 0 b c
a c a 0 c 0
a c b 0 0 c
c a c 0 a 0
c a 0 0 b c
c c c 0 c 0
c c 0 0 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 6x2 + 4x3 + 17x4 + 4x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c

Is it a nice code?: No

Generator Matrix-1045

a 0 a 0 0 0
0 a 0 0 a 0
b 0 b 0 0 0
0 b 0 0 b 0
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b 0 0 b 0
0 b c c b 0
b 0 b 0 0 0
b 0 a c 0 0
b b b 0 b 0
b b a c b 0
0 a 0 0 a 0
0 a c c a 0
0 c 0 0 c 0
0 c c c c 0
b a b 0 a 0
b a a c a 0
b c b 0 c 0
b c a c c 0
a 0 a 0 0 0
a 0 b c 0 0
a b a 0 b 0
a b b c b 0
c 0 c 0 0 0
c 0 0 c 0 0
c b c 0 b 0
c b 0 c b 0
a a a 0 a 0
a a b c a 0
a c a 0 c 0
a c b c c 0
c a c 0 a 0
c a 0 c a 0
c c c 0 c 0
c c 0 c c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 8x2 + 2x3 + 15x4 + 6x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)4 (X_b)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_a)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c

Is it a nice code?: No

Generator Matrix-1046

a 0 a 0 0 0
0 a 0 0 a 0
b 0 b 0 0 0
0 b 0 0 b 0
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b 0 0 b 0
0 b c c b c
b 0 b 0 0 0
b 0 a c 0 c
b b b 0 b 0
b b a c b c
0 a 0 0 a 0
0 a c c a c
0 c 0 0 c 0
0 c c c c c
b a b 0 a 0
b a a c a c
b c b 0 c 0
b c a c c c
a 0 a 0 0 0
a 0 b c 0 c
a b a 0 b 0
a b b c b c
c 0 c 0 0 0
c 0 0 c 0 c
c b c 0 b 0
c b 0 c b c
a a a 0 a 0
a a b c a c
a c a 0 c 0
a c b c c c
c a c 0 a 0
c a 0 c a c
c c c 0 c 0
c c 0 c c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 6x2 + 2x3 + 11x4 + 6x5 + 6x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)4 (X_b)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_b)4 + (X_a)1 (X_b)3 (X_c)2 + (X_0)4 (X_a)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5 + (X_0)2 (X_a)2 (X_b)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_b)2 (X_c)2 + (X_a)1 (X_b)1 (X_c)4 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_b)2 (X_c)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)4 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_c)2 + (X_a)1 (X_b)1 (X_c)4 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c

Is it a nice code?: No

Generator Matrix-1047

a 0 a 0 0 0
0 a 0 0 a 0
b 0 b 0 0 0
0 b 0 0 b 0
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b 0 0 b 0
0 b c c a 0
b 0 b 0 0 0
b 0 a c c 0
b b b 0 b 0
b b a c a 0
0 a 0 0 a 0
0 a c c b 0
0 c 0 0 c 0
0 c c c 0 0
b a b 0 a 0
b a a c b 0
b c b 0 c 0
b c a c 0 0
a 0 a 0 0 0
a 0 b c c 0
a b a 0 b 0
a b b c a 0
c 0 c 0 0 0
c 0 0 c c 0
c b c 0 b 0
c b 0 c a 0
a a a 0 a 0
a a b c b 0
a c a 0 c 0
a c b c 0 0
c a c 0 a 0
c a 0 c b 0
c c c 0 c 0
c c 0 c 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 6x2 + 4x3 + 17x4 + 4x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c

Is it a nice code?: No

Generator Matrix-1048

a 0 a 0 0 0
0 a 0 0 a 0
b 0 b 0 0 0
0 b 0 0 b 0
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b 0 0 b 0
0 b c c a c
b 0 b 0 0 0
b 0 a c c c
b b b 0 b 0
b b a c a c
0 a 0 0 a 0
0 a c c b c
0 c 0 0 c 0
0 c c c 0 c
b a b 0 a 0
b a a c b c
b c b 0 c 0
b c a c 0 c
a 0 a 0 0 0
a 0 b c c c
a b a 0 b 0
a b b c a c
c 0 c 0 0 0
c 0 0 c c c
c b c 0 b 0
c b 0 c a c
a a a 0 a 0
a a b c b c
a c a 0 c 0
a c b c 0 c
c a c 0 a 0
c a 0 c b c
c c c 0 c 0
c c 0 c 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 6x2 + 0x3 + 13x4 + 8x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)4 (X_b)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_b)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_b)4 + (X_a)2 (X_b)2 (X_c)2 + (X_0)4 (X_a)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_a)2 (X_b)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_a)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)2 (X_b)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)4 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c

Is it a nice code?: No

Generator Matrix-1049

a 0 a 0 0 0
0 a 0 0 a a
b 0 b 0 0 0
0 b 0 0 b b
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b 0 0 b b
0 b c 0 b b
b 0 b 0 0 0
b 0 a 0 0 0
b b b 0 b b
b b a 0 b b
0 a 0 0 a a
0 a c 0 a a
0 c 0 0 c c
0 c c 0 c c
b a b 0 a a
b a a 0 a a
b c b 0 c c
b c a 0 c c
a 0 a 0 0 0
a 0 b 0 0 0
a b a 0 b b
a b b 0 b b
c 0 c 0 0 0
c 0 0 0 0 0
c b c 0 b b
c b 0 0 b b
a a a 0 a a
a a b 0 a a
a c a 0 c c
a c b 0 c c
c a c 0 a a
c a 0 0 a a
c c c 0 c c
c c 0 0 c c

dmin: 1
Weight Enumerator: 1x0 + 2x1 + 5x2 + 3x3 + 6x4 + 15x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_b)3 (X_c)1 + (X_0)4 (X_b)2 + (X_0)4 (X_a)1 (X_b)1 + (X_0)1 (X_b)5 + (X_0)1 (X_a)1 (X_b)4 + (X_0)3 (X_a)3 + (X_0)2 (X_a)3 (X_c)1 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)4 (X_b)1 + (X_0)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_a)2 + (X_0)4 (X_a)1 (X_b)1 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)1 (X_b)4 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)1 (X_b)3 (X_c)2 + (X_0)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)4 (X_b)1 + (X_0)1 (X_a)2 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)2 (X_a)3 (X_c)1 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0

Is it a nice code?: No

Generator Matrix-1050

a 0 a 0 0 0
0 a 0 0 a a
b 0 b 0 0 0
0 b 0 0 b b
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b 0 0 b b
0 b c 0 b a
b 0 b 0 0 0
b 0 a 0 0 c
b b b 0 b b
b b a 0 b a
0 a 0 0 a a
0 a c 0 a b
0 c 0 0 c c
0 c c 0 c 0
b a b 0 a a
b a a 0 a b
b c b 0 c c
b c a 0 c 0
a 0 a 0 0 0
a 0 b 0 0 c
a b a 0 b b
a b b 0 b a
c 0 c 0 0 0
c 0 0 0 0 c
c b c 0 b b
c b 0 0 b a
a a a 0 a a
a a b 0 a b
a c a 0 c c
a c b 0 c 0
c a c 0 a a
c a 0 0 a b
c c c 0 c c
c c 0 0 c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 5x2 + 7x3 + 6x4 + 13x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)4 (X_b)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_b)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_a)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)2 (X_b)3 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0

Is it a nice code?: No

Generator Matrix-1051

a 0 a 0 0 0
0 a 0 0 a a
b 0 b 0 0 0
0 b 0 0 b b
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b 0 0 b b
0 b c 0 a b
b 0 b 0 0 0
b 0 a 0 c 0
b b b 0 b b
b b a 0 a b
0 a 0 0 a a
0 a c 0 b a
0 c 0 0 c c
0 c c 0 0 c
b a b 0 a a
b a a 0 b a
b c b 0 c c
b c a 0 0 c
a 0 a 0 0 0
a 0 b 0 c 0
a b a 0 b b
a b b 0 a b
c 0 c 0 0 0
c 0 0 0 c 0
c b c 0 b b
c b 0 0 a b
a a a 0 a a
a a b 0 b a
a c a 0 c c
a c b 0 0 c
c a c 0 a a
c a 0 0 b a
c c c 0 c c
c c 0 0 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 5x2 + 7x3 + 6x4 + 13x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)4 (X_b)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_b)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_a)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)2 (X_b)3 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0

Is it a nice code?: No

Generator Matrix-1052

a 0 a 0 0 0
0 a 0 0 a a
b 0 b 0 0 0
0 b 0 0 b b
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b 0 0 b b
0 b c 0 a a
b 0 b 0 0 0
b 0 a 0 c c
b b b 0 b b
b b a 0 a a
0 a 0 0 a a
0 a c 0 b b
0 c 0 0 c c
0 c c 0 0 0
b a b 0 a a
b a a 0 b b
b c b 0 c c
b c a 0 0 0
a 0 a 0 0 0
a 0 b 0 c c
a b a 0 b b
a b b 0 a a
c 0 c 0 0 0
c 0 0 0 c c
c b c 0 b b
c b 0 0 a a
a a a 0 a a
a a b 0 b b
a c a 0 c c
a c b 0 0 0
c a c 0 a a
c a 0 0 b b
c c c 0 c c
c c 0 0 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 5x2 + 7x3 + 6x4 + 13x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_b)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)3 (X_b)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)2 (X_c)3 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0

Is it a nice code?: No

Generator Matrix-1053

a 0 a 0 0 0
0 a 0 0 a a
b 0 b 0 0 0
0 b 0 0 b b
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b 0 0 b b
0 b c c b b
b 0 b 0 0 0
b 0 a c 0 0
b b b 0 b b
b b a c b b
0 a 0 0 a a
0 a c c a a
0 c 0 0 c c
0 c c c c c
b a b 0 a a
b a a c a a
b c b 0 c c
b c a c c c
a 0 a 0 0 0
a 0 b c 0 0
a b a 0 b b
a b b c b b
c 0 c 0 0 0
c 0 0 c 0 0
c b c 0 b b
c b 0 c b b
a a a 0 a a
a a b c a a
a c a 0 c c
a c b c c c
c a c 0 a a
c a 0 c a a
c c c 0 c c
c c 0 c c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 5x2 + 5x3 + 0x4 + 15x5 + 6x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)4 (X_b)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_b)5 + (X_a)1 (X_b)4 (X_c)1 + (X_0)3 (X_a)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)1 (X_a)3 (X_b)2 + (X_a)4 (X_b)1 (X_c)1 + (X_0)1 (X_b)2 (X_c)3 + (X_a)1 (X_b)1 (X_c)4 + (X_0)4 (X_a)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_a)1 (X_b)4 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)1 (X_b)3 (X_c)2 + (X_0)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)5 + (X_a)4 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_c)3 + (X_a)1 (X_b)1 (X_c)4 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0

Is it a nice code?: No

Generator Matrix-1054

a 0 a 0 0 0
0 a 0 0 a a
b 0 b 0 0 0
0 b 0 0 b b
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b 0 0 b b
0 b c c b a
b 0 b 0 0 0
b 0 a c 0 c
b b b 0 b b
b b a c b a
0 a 0 0 a a
0 a c c a b
0 c 0 0 c c
0 c c c c 0
b a b 0 a a
b a a c a b
b c b 0 c c
b c a c c 0
a 0 a 0 0 0
a 0 b c 0 c
a b a 0 b b
a b b c b a
c 0 c 0 0 0
c 0 0 c 0 c
c b c 0 b b
c b 0 c b a
a a a 0 a a
a a b c a b
a c a 0 c c
a c b c c 0
c a c 0 a a
c a 0 c a b
c c c 0 c c
c c 0 c c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 5x3 + 4x4 + 15x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_b)5 + (X_a)2 (X_b)3 (X_c)1 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_a)3 (X_b)2 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)3 + (X_a)2 (X_b)3 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)5 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0

Is it a nice code?: No

Generator Matrix-1055

a 0 a 0 0 0
0 a 0 0 a a
b 0 b 0 0 0
0 b 0 0 b b
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b 0 0 b b
0 b c c a b
b 0 b 0 0 0
b 0 a c c 0
b b b 0 b b
b b a c a b
0 a 0 0 a a
0 a c c b a
0 c 0 0 c c
0 c c c 0 c
b a b 0 a a
b a a c b a
b c b 0 c c
b c a c 0 c
a 0 a 0 0 0
a 0 b c c 0
a b a 0 b b
a b b c a b
c 0 c 0 0 0
c 0 0 c c 0
c b c 0 b b
c b 0 c a b
a a a 0 a a
a a b c b a
a c a 0 c c
a c b c 0 c
c a c 0 a a
c a 0 c b a
c c c 0 c c
c c 0 c 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 5x3 + 4x4 + 15x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_b)5 + (X_a)2 (X_b)3 (X_c)1 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_a)3 (X_b)2 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)3 + (X_a)2 (X_b)3 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)5 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0

Is it a nice code?: No

Generator Matrix-1056

a 0 a 0 0 0
0 a 0 0 a a
b 0 b 0 0 0
0 b 0 0 b b
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b 0 0 b b
0 b c c a a
b 0 b 0 0 0
b 0 a c c c
b b b 0 b b
b b a c a a
0 a 0 0 a a
0 a c c b b
0 c 0 0 c c
0 c c c 0 0
b a b 0 a a
b a a c b b
b c b 0 c c
b c a c 0 0
a 0 a 0 0 0
a 0 b c c c
a b a 0 b b
a b b c a a
c 0 c 0 0 0
c 0 0 c c c
c b c 0 b b
c b 0 c a a
a a a 0 a a
a a b c b b
a c a 0 c c
a c b c 0 0
c a c 0 a a
c a 0 c b b
c c c 0 c c
c c 0 c 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 5x3 + 4x4 + 15x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)3 (X_b)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)4 (X_b)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_b)5 + (X_a)3 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)3 (X_b)2 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_a)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)2 (X_b)3 + (X_a)3 (X_b)2 (X_c)1 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)5 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0

Is it a nice code?: No

Generator Matrix-1057

a 0 a 0 0 0
0 a 0 a 0 0
b 0 b 0 0 0
0 b 0 b 0 0
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b 0 b 0 0
0 b c b 0 0
b 0 b 0 0 0
b 0 a 0 0 0
b b b b 0 0
b b a b 0 0
0 a 0 a 0 0
0 a c a 0 0
0 c 0 c 0 0
0 c c c 0 0
b a b a 0 0
b a a a 0 0
b c b c 0 0
b c a c 0 0
a 0 a 0 0 0
a 0 b 0 0 0
a b a b 0 0
a b b b 0 0
c 0 c 0 0 0
c 0 0 0 0 0
c b c b 0 0
c b 0 b 0 0
a a a a 0 0
a a b a 0 0
a c a c 0 0
a c b c 0 0
c a c a 0 0
c a 0 a 0 0
c c c c 0 0
c c 0 c 0 0

dmin: 1
Weight Enumerator: 1x0 + 2x1 + 8x2 + 6x3 + 15x4 + 0x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)4 (X_b)2 + (X_0)3 (X_b)2 (X_c)1 + (X_0)4 (X_b)2 + (X_0)4 (X_a)1 (X_b)1 + (X_0)2 (X_b)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)4 (X_a)2 + (X_0)3 (X_a)2 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_a)3 (X_b)1 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_a)2 + (X_0)4 (X_a)1 (X_b)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_a)1 (X_b)3 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)2 (X_b)2 (X_c)2 + (X_0)3 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)3 (X_a)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c

Is it a nice code?: No

Generator Matrix-1058

a 0 a 0 0 0
0 a 0 a 0 0
b 0 b 0 0 0
0 b 0 b 0 0
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b 0 b 0 0
0 b c b 0 c
b 0 b 0 0 0
b 0 a 0 0 c
b b b b 0 0
b b a b 0 c
0 a 0 a 0 0
0 a c a 0 c
0 c 0 c 0 0
0 c c c 0 c
b a b a 0 0
b a a a 0 c
b c b c 0 0
b c a c 0 c
a 0 a 0 0 0
a 0 b 0 0 c
a b a b 0 0
a b b b 0 c
c 0 c 0 0 0
c 0 0 0 0 c
c b c b 0 0
c b 0 b 0 c
a a a a 0 0
a a b a 0 c
a c a c 0 0
a c b c 0 c
c a c a 0 0
c a 0 a 0 c
c c c c 0 0
c c 0 c 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 8x2 + 2x3 + 15x4 + 6x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)4 (X_b)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_a)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c

Is it a nice code?: No

Generator Matrix-1059

a 0 a 0 0 0
0 a 0 a 0 0
b 0 b 0 0 0
0 b 0 b 0 0
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b 0 b 0 0
0 b c b c 0
b 0 b 0 0 0
b 0 a 0 c 0
b b b b 0 0
b b a b c 0
0 a 0 a 0 0
0 a c a c 0
0 c 0 c 0 0
0 c c c c 0
b a b a 0 0
b a a a c 0
b c b c 0 0
b c a c c 0
a 0 a 0 0 0
a 0 b 0 c 0
a b a b 0 0
a b b b c 0
c 0 c 0 0 0
c 0 0 0 c 0
c b c b 0 0
c b 0 b c 0
a a a a 0 0
a a b a c 0
a c a c 0 0
a c b c c 0
c a c a 0 0
c a 0 a c 0
c c c c 0 0
c c 0 c c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 8x2 + 2x3 + 15x4 + 6x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)4 (X_b)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_a)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c

Is it a nice code?: No

Generator Matrix-1060

a 0 a 0 0 0
0 a 0 a 0 0
b 0 b 0 0 0
0 b 0 b 0 0
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b 0 b 0 0
0 b c b c c
b 0 b 0 0 0
b 0 a 0 c c
b b b b 0 0
b b a b c c
0 a 0 a 0 0
0 a c a c c
0 c 0 c 0 0
0 c c c c c
b a b a 0 0
b a a a c c
b c b c 0 0
b c a c c c
a 0 a 0 0 0
a 0 b 0 c c
a b a b 0 0
a b b b c c
c 0 c 0 0 0
c 0 0 0 c c
c b c b 0 0
c b 0 b c c
a a a a 0 0
a a b a c c
a c a c 0 0
a c b c c c
c a c a 0 0
c a 0 a c c
c c c c 0 0
c c 0 c c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 6x2 + 2x3 + 11x4 + 6x5 + 6x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)4 (X_b)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_b)4 + (X_a)1 (X_b)3 (X_c)2 + (X_0)4 (X_a)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5 + (X_0)2 (X_a)2 (X_b)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_b)2 (X_c)2 + (X_a)1 (X_b)1 (X_c)4 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_b)2 (X_c)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)4 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_c)2 + (X_a)1 (X_b)1 (X_c)4 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c

Is it a nice code?: No

Generator Matrix-1061

a 0 a 0 0 0
0 a 0 a 0 0
b 0 b 0 0 0
0 b 0 b 0 0
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b 0 b 0 0
0 b c a 0 0
b 0 b 0 0 0
b 0 a c 0 0
b b b b 0 0
b b a a 0 0
0 a 0 a 0 0
0 a c b 0 0
0 c 0 c 0 0
0 c c 0 0 0
b a b a 0 0
b a a b 0 0
b c b c 0 0
b c a 0 0 0
a 0 a 0 0 0
a 0 b c 0 0
a b a b 0 0
a b b a 0 0
c 0 c 0 0 0
c 0 0 c 0 0
c b c b 0 0
c b 0 a 0 0
a a a a 0 0
a a b b 0 0
a c a c 0 0
a c b 0 0 0
c a c a 0 0
c a 0 b 0 0
c c c c 0 0
c c 0 0 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 10x2 + 8x3 + 13x4 + 0x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_b)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)4 (X_b)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)4 (X_a)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)4 (X_a)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_c)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c

Is it a nice code?: No

Generator Matrix-1062

a 0 a 0 0 0
0 a 0 a 0 0
b 0 b 0 0 0
0 b 0 b 0 0
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b 0 b 0 0
0 b c a 0 c
b 0 b 0 0 0
b 0 a c 0 c
b b b b 0 0
b b a a 0 c
0 a 0 a 0 0
0 a c b 0 c
0 c 0 c 0 0
0 c c 0 0 c
b a b a 0 0
b a a b 0 c
b c b c 0 0
b c a 0 0 c
a 0 a 0 0 0
a 0 b c 0 c
a b a b 0 0
a b b a 0 c
c 0 c 0 0 0
c 0 0 c 0 c
c b c b 0 0
c b 0 a 0 c
a a a a 0 0
a a b b 0 c
a c a c 0 0
a c b 0 0 c
c a c a 0 0
c a 0 b 0 c
c c c c 0 0
c c 0 0 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 6x2 + 4x3 + 17x4 + 4x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c

Is it a nice code?: No

Generator Matrix-1063

a 0 a 0 0 0
0 a 0 a 0 0
b 0 b 0 0 0
0 b 0 b 0 0
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b 0 b 0 0
0 b c a c 0
b 0 b 0 0 0
b 0 a c c 0
b b b b 0 0
b b a a c 0
0 a 0 a 0 0
0 a c b c 0
0 c 0 c 0 0
0 c c 0 c 0
b a b a 0 0
b a a b c 0
b c b c 0 0
b c a 0 c 0
a 0 a 0 0 0
a 0 b c c 0
a b a b 0 0
a b b a c 0
c 0 c 0 0 0
c 0 0 c c 0
c b c b 0 0
c b 0 a c 0
a a a a 0 0
a a b b c 0
a c a c 0 0
a c b 0 c 0
c a c a 0 0
c a 0 b c 0
c c c c 0 0
c c 0 0 c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 6x2 + 4x3 + 17x4 + 4x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c

Is it a nice code?: No

Generator Matrix-1064

a 0 a 0 0 0
0 a 0 a 0 0
b 0 b 0 0 0
0 b 0 b 0 0
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b 0 b 0 0
0 b c a c c
b 0 b 0 0 0
b 0 a c c c
b b b b 0 0
b b a a c c
0 a 0 a 0 0
0 a c b c c
0 c 0 c 0 0
0 c c 0 c c
b a b a 0 0
b a a b c c
b c b c 0 0
b c a 0 c c
a 0 a 0 0 0
a 0 b c c c
a b a b 0 0
a b b a c c
c 0 c 0 0 0
c 0 0 c c c
c b c b 0 0
c b 0 a c c
a a a a 0 0
a a b b c c
a c a c 0 0
a c b 0 c c
c a c a 0 0
c a 0 b c c
c c c c 0 0
c c 0 0 c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 6x2 + 0x3 + 13x4 + 8x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)4 (X_b)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_b)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_b)4 + (X_a)2 (X_b)2 (X_c)2 + (X_0)4 (X_a)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_a)2 (X_b)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_a)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)2 (X_b)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)4 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c

Is it a nice code?: No

Generator Matrix-1065

a 0 a 0 0 0
0 a 0 a 0 a
b 0 b 0 0 0
0 b 0 b 0 b
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b 0 b 0 b
0 b c b 0 b
b 0 b 0 0 0
b 0 a 0 0 0
b b b b 0 b
b b a b 0 b
0 a 0 a 0 a
0 a c a 0 a
0 c 0 c 0 c
0 c c c 0 c
b a b a 0 a
b a a a 0 a
b c b c 0 c
b c a c 0 c
a 0 a 0 0 0
a 0 b 0 0 0
a b a b 0 b
a b b b 0 b
c 0 c 0 0 0
c 0 0 0 0 0
c b c b 0 b
c b 0 b 0 b
a a a a 0 a
a a b a 0 a
a c a c 0 c
a c b c 0 c
c a c a 0 a
c a 0 a 0 a
c c c c 0 c
c c 0 c 0 c

dmin: 1
Weight Enumerator: 1x0 + 2x1 + 5x2 + 3x3 + 6x4 + 15x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_b)3 (X_c)1 + (X_0)4 (X_b)2 + (X_0)4 (X_a)1 (X_b)1 + (X_0)1 (X_b)5 + (X_0)1 (X_a)1 (X_b)4 + (X_0)3 (X_a)3 + (X_0)2 (X_a)3 (X_c)1 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)4 (X_b)1 + (X_0)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_a)2 + (X_0)4 (X_a)1 (X_b)1 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)1 (X_b)4 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)1 (X_b)3 (X_c)2 + (X_0)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)4 (X_b)1 + (X_0)1 (X_a)2 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)2 (X_a)3 (X_c)1 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0

Is it a nice code?: No

Generator Matrix-1066

a 0 a 0 0 0
0 a 0 a 0 a
b 0 b 0 0 0
0 b 0 b 0 b
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b 0 b 0 b
0 b c b 0 a
b 0 b 0 0 0
b 0 a 0 0 c
b b b b 0 b
b b a b 0 a
0 a 0 a 0 a
0 a c a 0 b
0 c 0 c 0 c
0 c c c 0 0
b a b a 0 a
b a a a 0 b
b c b c 0 c
b c a c 0 0
a 0 a 0 0 0
a 0 b 0 0 c
a b a b 0 b
a b b b 0 a
c 0 c 0 0 0
c 0 0 0 0 c
c b c b 0 b
c b 0 b 0 a
a a a a 0 a
a a b a 0 b
a c a c 0 c
a c b c 0 0
c a c a 0 a
c a 0 a 0 b
c c c c 0 c
c c 0 c 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 5x2 + 7x3 + 6x4 + 13x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)4 (X_b)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_b)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_a)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)2 (X_b)3 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0

Is it a nice code?: No

Generator Matrix-1067

a 0 a 0 0 0
0 a 0 a 0 a
b 0 b 0 0 0
0 b 0 b 0 b
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b 0 b 0 b
0 b c b c b
b 0 b 0 0 0
b 0 a 0 c 0
b b b b 0 b
b b a b c b
0 a 0 a 0 a
0 a c a c a
0 c 0 c 0 c
0 c c c c c
b a b a 0 a
b a a a c a
b c b c 0 c
b c a c c c
a 0 a 0 0 0
a 0 b 0 c 0
a b a b 0 b
a b b b c b
c 0 c 0 0 0
c 0 0 0 c 0
c b c b 0 b
c b 0 b c b
a a a a 0 a
a a b a c a
a c a c 0 c
a c b c c c
c a c a 0 a
c a 0 a c a
c c c c 0 c
c c 0 c c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 5x2 + 5x3 + 0x4 + 15x5 + 6x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)4 (X_b)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_b)5 + (X_a)1 (X_b)4 (X_c)1 + (X_0)3 (X_a)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)1 (X_a)3 (X_b)2 + (X_a)4 (X_b)1 (X_c)1 + (X_0)1 (X_b)2 (X_c)3 + (X_a)1 (X_b)1 (X_c)4 + (X_0)4 (X_a)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_a)1 (X_b)4 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)1 (X_b)3 (X_c)2 + (X_0)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)5 + (X_a)4 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_c)3 + (X_a)1 (X_b)1 (X_c)4 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0

Is it a nice code?: No

Generator Matrix-1068

a 0 a 0 0 0
0 a 0 a 0 a
b 0 b 0 0 0
0 b 0 b 0 b
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b 0 b 0 b
0 b c b c a
b 0 b 0 0 0
b 0 a 0 c c
b b b b 0 b
b b a b c a
0 a 0 a 0 a
0 a c a c b
0 c 0 c 0 c
0 c c c c 0
b a b a 0 a
b a a a c b
b c b c 0 c
b c a c c 0
a 0 a 0 0 0
a 0 b 0 c c
a b a b 0 b
a b b b c a
c 0 c 0 0 0
c 0 0 0 c c
c b c b 0 b
c b 0 b c a
a a a a 0 a
a a b a c b
a c a c 0 c
a c b c c 0
c a c a 0 a
c a 0 a c b
c c c c 0 c
c c 0 c c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 5x3 + 4x4 + 15x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_b)5 + (X_a)2 (X_b)3 (X_c)1 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_a)3 (X_b)2 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)3 + (X_a)2 (X_b)3 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)5 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0

Is it a nice code?: No

Generator Matrix-1069

a 0 a 0 0 0
0 a 0 a 0 a
b 0 b 0 0 0
0 b 0 b 0 b
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b 0 b 0 b
0 b c a 0 b
b 0 b 0 0 0
b 0 a c 0 0
b b b b 0 b
b b a a 0 b
0 a 0 a 0 a
0 a c b 0 a
0 c 0 c 0 c
0 c c 0 0 c
b a b a 0 a
b a a b 0 a
b c b c 0 c
b c a 0 0 c
a 0 a 0 0 0
a 0 b c 0 0
a b a b 0 b
a b b a 0 b
c 0 c 0 0 0
c 0 0 c 0 0
c b c b 0 b
c b 0 a 0 b
a a a a 0 a
a a b b 0 a
a c a c 0 c
a c b 0 0 c
c a c a 0 a
c a 0 b 0 a
c c c c 0 c
c c 0 0 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 5x2 + 7x3 + 6x4 + 13x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)4 (X_b)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_b)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_a)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)2 (X_b)3 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0

Is it a nice code?: No

Generator Matrix-1070

a 0 a 0 0 0
0 a 0 a 0 a
b 0 b 0 0 0
0 b 0 b 0 b
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b 0 b 0 b
0 b c a 0 a
b 0 b 0 0 0
b 0 a c 0 c
b b b b 0 b
b b a a 0 a
0 a 0 a 0 a
0 a c b 0 b
0 c 0 c 0 c
0 c c 0 0 0
b a b a 0 a
b a a b 0 b
b c b c 0 c
b c a 0 0 0
a 0 a 0 0 0
a 0 b c 0 c
a b a b 0 b
a b b a 0 a
c 0 c 0 0 0
c 0 0 c 0 c
c b c b 0 b
c b 0 a 0 a
a a a a 0 a
a a b b 0 b
a c a c 0 c
a c b 0 0 0
c a c a 0 a
c a 0 b 0 b
c c c c 0 c
c c 0 0 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 5x2 + 7x3 + 6x4 + 13x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_b)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)3 (X_b)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)2 (X_c)3 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0

Is it a nice code?: No

Generator Matrix-1071

a 0 a 0 0 0
0 a 0 a 0 a
b 0 b 0 0 0
0 b 0 b 0 b
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b 0 b 0 b
0 b c a c b
b 0 b 0 0 0
b 0 a c c 0
b b b b 0 b
b b a a c b
0 a 0 a 0 a
0 a c b c a
0 c 0 c 0 c
0 c c 0 c c
b a b a 0 a
b a a b c a
b c b c 0 c
b c a 0 c c
a 0 a 0 0 0
a 0 b c c 0
a b a b 0 b
a b b a c b
c 0 c 0 0 0
c 0 0 c c 0
c b c b 0 b
c b 0 a c b
a a a a 0 a
a a b b c a
a c a c 0 c
a c b 0 c c
c a c a 0 a
c a 0 b c a
c c c c 0 c
c c 0 0 c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 5x3 + 4x4 + 15x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_b)5 + (X_a)2 (X_b)3 (X_c)1 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_a)3 (X_b)2 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)3 + (X_a)2 (X_b)3 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)5 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0

Is it a nice code?: No

Generator Matrix-1072

a 0 a 0 0 0
0 a 0 a 0 a
b 0 b 0 0 0
0 b 0 b 0 b
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b 0 b 0 b
0 b c a c a
b 0 b 0 0 0
b 0 a c c c
b b b b 0 b
b b a a c a
0 a 0 a 0 a
0 a c b c b
0 c 0 c 0 c
0 c c 0 c 0
b a b a 0 a
b a a b c b
b c b c 0 c
b c a 0 c 0
a 0 a 0 0 0
a 0 b c c c
a b a b 0 b
a b b a c a
c 0 c 0 0 0
c 0 0 c c c
c b c b 0 b
c b 0 a c a
a a a a 0 a
a a b b c b
a c a c 0 c
a c b 0 c 0
c a c a 0 a
c a 0 b c b
c c c c 0 c
c c 0 0 c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 5x3 + 4x4 + 15x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)3 (X_b)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)4 (X_b)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_b)5 + (X_a)3 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)3 (X_b)2 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_a)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)2 (X_b)3 + (X_a)3 (X_b)2 (X_c)1 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)5 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0

Is it a nice code?: No

Generator Matrix-1073

a 0 a 0 0 0
0 a 0 a a 0
b 0 b 0 0 0
0 b 0 b b 0
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b 0 b b 0
0 b c b b 0
b 0 b 0 0 0
b 0 a 0 0 0
b b b b b 0
b b a b b 0
0 a 0 a a 0
0 a c a a 0
0 c 0 c c 0
0 c c c c 0
b a b a a 0
b a a a a 0
b c b c c 0
b c a c c 0
a 0 a 0 0 0
a 0 b 0 0 0
a b a b b 0
a b b b b 0
c 0 c 0 0 0
c 0 0 0 0 0
c b c b b 0
c b 0 b b 0
a a a a a 0
a a b a a 0
a c a c c 0
a c b c c 0
c a c a a 0
c a 0 a a 0
c c c c c 0
c c 0 c c 0

dmin: 1
Weight Enumerator: 1x0 + 2x1 + 5x2 + 3x3 + 6x4 + 15x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_b)3 (X_c)1 + (X_0)4 (X_b)2 + (X_0)4 (X_a)1 (X_b)1 + (X_0)1 (X_b)5 + (X_0)1 (X_a)1 (X_b)4 + (X_0)3 (X_a)3 + (X_0)2 (X_a)3 (X_c)1 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)4 (X_b)1 + (X_0)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_a)2 + (X_0)4 (X_a)1 (X_b)1 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)1 (X_b)4 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)1 (X_b)3 (X_c)2 + (X_0)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)4 (X_b)1 + (X_0)1 (X_a)2 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)2 (X_a)3 (X_c)1 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c

Is it a nice code?: No

Generator Matrix-1074

a 0 a 0 0 0
0 a 0 a a 0
b 0 b 0 0 0
0 b 0 b b 0
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b 0 b b 0
0 b c b b c
b 0 b 0 0 0
b 0 a 0 0 c
b b b b b 0
b b a b b c
0 a 0 a a 0
0 a c a a c
0 c 0 c c 0
0 c c c c c
b a b a a 0
b a a a a c
b c b c c 0
b c a c c c
a 0 a 0 0 0
a 0 b 0 0 c
a b a b b 0
a b b b b c
c 0 c 0 0 0
c 0 0 0 0 c
c b c b b 0
c b 0 b b c
a a a a a 0
a a b a a c
a c a c c 0
a c b c c c
c a c a a 0
c a 0 a a c
c c c c c 0
c c 0 c c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 5x2 + 5x3 + 0x4 + 15x5 + 6x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)4 (X_b)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_b)5 + (X_a)1 (X_b)4 (X_c)1 + (X_0)3 (X_a)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)1 (X_a)3 (X_b)2 + (X_a)4 (X_b)1 (X_c)1 + (X_0)1 (X_b)2 (X_c)3 + (X_a)1 (X_b)1 (X_c)4 + (X_0)4 (X_a)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_a)1 (X_b)4 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)1 (X_b)3 (X_c)2 + (X_0)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)5 + (X_a)4 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_c)3 + (X_a)1 (X_b)1 (X_c)4 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c

Is it a nice code?: No

Generator Matrix-1075

a 0 a 0 0 0
0 a 0 a a 0
b 0 b 0 0 0
0 b 0 b b 0
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b 0 b b 0
0 b c b a 0
b 0 b 0 0 0
b 0 a 0 c 0
b b b b b 0
b b a b a 0
0 a 0 a a 0
0 a c a b 0
0 c 0 c c 0
0 c c c 0 0
b a b a a 0
b a a a b 0
b c b c c 0
b c a c 0 0
a 0 a 0 0 0
a 0 b 0 c 0
a b a b b 0
a b b b a 0
c 0 c 0 0 0
c 0 0 0 c 0
c b c b b 0
c b 0 b a 0
a a a a a 0
a a b a b 0
a c a c c 0
a c b c 0 0
c a c a a 0
c a 0 a b 0
c c c c c 0
c c 0 c 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 5x2 + 7x3 + 6x4 + 13x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)4 (X_b)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_b)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_a)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)2 (X_b)3 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c

Is it a nice code?: No

Generator Matrix-1076

a 0 a 0 0 0
0 a 0 a a 0
b 0 b 0 0 0
0 b 0 b b 0
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b 0 b b 0
0 b c b a c
b 0 b 0 0 0
b 0 a 0 c c
b b b b b 0
b b a b a c
0 a 0 a a 0
0 a c a b c
0 c 0 c c 0
0 c c c 0 c
b a b a a 0
b a a a b c
b c b c c 0
b c a c 0 c
a 0 a 0 0 0
a 0 b 0 c c
a b a b b 0
a b b b a c
c 0 c 0 0 0
c 0 0 0 c c
c b c b b 0
c b 0 b a c
a a a a a 0
a a b a b c
a c a c c 0
a c b c 0 c
c a c a a 0
c a 0 a b c
c c c c c 0
c c 0 c 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 5x3 + 4x4 + 15x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_b)5 + (X_a)2 (X_b)3 (X_c)1 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_a)3 (X_b)2 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)3 + (X_a)2 (X_b)3 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)5 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c

Is it a nice code?: No

Generator Matrix-1077

a 0 a 0 0 0
0 a 0 a a 0
b 0 b 0 0 0
0 b 0 b b 0
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b 0 b b 0
0 b c a b 0
b 0 b 0 0 0
b 0 a c 0 0
b b b b b 0
b b a a b 0
0 a 0 a a 0
0 a c b a 0
0 c 0 c c 0
0 c c 0 c 0
b a b a a 0
b a a b a 0
b c b c c 0
b c a 0 c 0
a 0 a 0 0 0
a 0 b c 0 0
a b a b b 0
a b b a b 0
c 0 c 0 0 0
c 0 0 c 0 0
c b c b b 0
c b 0 a b 0
a a a a a 0
a a b b a 0
a c a c c 0
a c b 0 c 0
c a c a a 0
c a 0 b a 0
c c c c c 0
c c 0 0 c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 5x2 + 7x3 + 6x4 + 13x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)4 (X_b)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_b)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_a)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)2 (X_b)3 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c

Is it a nice code?: No

Generator Matrix-1078

a 0 a 0 0 0
0 a 0 a a 0
b 0 b 0 0 0
0 b 0 b b 0
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b 0 b b 0
0 b c a b c
b 0 b 0 0 0
b 0 a c 0 c
b b b b b 0
b b a a b c
0 a 0 a a 0
0 a c b a c
0 c 0 c c 0
0 c c 0 c c
b a b a a 0
b a a b a c
b c b c c 0
b c a 0 c c
a 0 a 0 0 0
a 0 b c 0 c
a b a b b 0
a b b a b c
c 0 c 0 0 0
c 0 0 c 0 c
c b c b b 0
c b 0 a b c
a a a a a 0
a a b b a c
a c a c c 0
a c b 0 c c
c a c a a 0
c a 0 b a c
c c c c c 0
c c 0 0 c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 5x3 + 4x4 + 15x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_b)5 + (X_a)2 (X_b)3 (X_c)1 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_a)3 (X_b)2 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)3 + (X_a)2 (X_b)3 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)5 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c

Is it a nice code?: No

Generator Matrix-1079

a 0 a 0 0 0
0 a 0 a a 0
b 0 b 0 0 0
0 b 0 b b 0
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b 0 b b 0
0 b c a a 0
b 0 b 0 0 0
b 0 a c c 0
b b b b b 0
b b a a a 0
0 a 0 a a 0
0 a c b b 0
0 c 0 c c 0
0 c c 0 0 0
b a b a a 0
b a a b b 0
b c b c c 0
b c a 0 0 0
a 0 a 0 0 0
a 0 b c c 0
a b a b b 0
a b b a a 0
c 0 c 0 0 0
c 0 0 c c 0
c b c b b 0
c b 0 a a 0
a a a a a 0
a a b b b 0
a c a c c 0
a c b 0 0 0
c a c a a 0
c a 0 b b 0
c c c c c 0
c c 0 0 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 5x2 + 7x3 + 6x4 + 13x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_b)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)3 (X_b)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)2 (X_c)3 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c

Is it a nice code?: No

Generator Matrix-1080

a 0 a 0 0 0
0 a 0 a a 0
b 0 b 0 0 0
0 b 0 b b 0
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b 0 b b 0
0 b c a a c
b 0 b 0 0 0
b 0 a c c c
b b b b b 0
b b a a a c
0 a 0 a a 0
0 a c b b c
0 c 0 c c 0
0 c c 0 0 c
b a b a a 0
b a a b b c
b c b c c 0
b c a 0 0 c
a 0 a 0 0 0
a 0 b c c c
a b a b b 0
a b b a a c
c 0 c 0 0 0
c 0 0 c c c
c b c b b 0
c b 0 a a c
a a a a a 0
a a b b b c
a c a c c 0
a c b 0 0 c
c a c a a 0
c a 0 b b c
c c c c c 0
c c 0 0 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 5x3 + 4x4 + 15x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)3 (X_b)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)4 (X_b)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_b)5 + (X_a)3 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)3 (X_b)2 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_a)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)2 (X_b)3 + (X_a)3 (X_b)2 (X_c)1 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)5 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c

Is it a nice code?: No

Generator Matrix-1081

a 0 a 0 0 0
0 a 0 a a a
b 0 b 0 0 0
0 b 0 b b b
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b 0 b b b
0 b c b b b
b 0 b 0 0 0
b 0 a 0 0 0
b b b b b b
b b a b b b
0 a 0 a a a
0 a c a a a
0 c 0 c c c
0 c c c c c
b a b a a a
b a a a a a
b c b c c c
b c a c c c
a 0 a 0 0 0
a 0 b 0 0 0
a b a b b b
a b b b b b
c 0 c 0 0 0
c 0 0 0 0 0
c b c b b b
c b 0 b b b
a a a a a a
a a b a a a
a c a c c c
a c b c c c
c a c a a a
c a 0 a a a
c c c c c c
c c 0 c c c

dmin: 1
Weight Enumerator: 1x0 + 2x1 + 5x2 + 0x3 + 3x4 + 6x5 + 15x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_b)4 (X_c)1 + (X_0)4 (X_b)2 + (X_0)4 (X_a)1 (X_b)1 + (X_b)6 + (X_a)1 (X_b)5 + (X_0)2 (X_a)4 + (X_0)1 (X_a)4 (X_c)1 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_a)4 (X_b)2 + (X_a)5 (X_b)1 + (X_b)2 (X_c)4 + (X_a)1 (X_b)1 (X_c)4 + (X_0)4 (X_a)2 + (X_0)4 (X_a)1 (X_b)1 + (X_a)2 (X_b)4 + (X_a)1 (X_b)5 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_b)4 (X_c)2 + (X_0)1 (X_b)4 (X_c)1 + (X_a)6 + (X_a)5 (X_b)1 + (X_a)2 (X_c)4 + (X_a)1 (X_b)1 (X_c)4 + (X_a)4 (X_c)2 + (X_0)1 (X_a)4 (X_c)1 + (X_c)6 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1082

a 0 a 0 0 0
0 a 0 a a a
b 0 b 0 0 0
0 b 0 b b b
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b 0 b b b
0 b c b b a
b 0 b 0 0 0
b 0 a 0 0 c
b b b b b b
b b a b b a
0 a 0 a a a
0 a c a a b
0 c 0 c c c
0 c c c c 0
b a b a a a
b a a a a b
b c b c c c
b c a c c 0
a 0 a 0 0 0
a 0 b 0 0 c
a b a b b b
a b b b b a
c 0 c 0 0 0
c 0 0 0 0 c
c b c b b b
c b 0 b b a
a a a a a a
a a b a a b
a c a c c c
a c b c c 0
c a c a a a
c a 0 a a b
c c c c c c
c c 0 c c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 5x2 + 2x3 + 5x4 + 6x5 + 13x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)4 (X_b)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_b)6 + (X_a)2 (X_b)4 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_a)4 (X_b)2 + (X_a)4 (X_b)2 + (X_b)2 (X_c)4 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_a)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_a)2 (X_b)4 + (X_a)2 (X_b)4 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_b)4 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)6 + (X_a)4 (X_b)2 + (X_a)2 (X_c)4 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_a)4 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_c)6 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1083

a 0 a 0 0 0
0 a 0 a a a
b 0 b 0 0 0
0 b 0 b b b
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b 0 b b b
0 b c b a b
b 0 b 0 0 0
b 0 a 0 c 0
b b b b b b
b b a b a b
0 a 0 a a a
0 a c a b a
0 c 0 c c c
0 c c c 0 c
b a b a a a
b a a a b a
b c b c c c
b c a c 0 c
a 0 a 0 0 0
a 0 b 0 c 0
a b a b b b
a b b b a b
c 0 c 0 0 0
c 0 0 0 c 0
c b c b b b
c b 0 b a b
a a a a a a
a a b a b a
a c a c c c
a c b c 0 c
c a c a a a
c a 0 a b a
c c c c c c
c c 0 c 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 5x2 + 2x3 + 5x4 + 6x5 + 13x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)4 (X_b)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_b)6 + (X_a)2 (X_b)4 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_a)4 (X_b)2 + (X_a)4 (X_b)2 + (X_b)2 (X_c)4 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_a)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_a)2 (X_b)4 + (X_a)2 (X_b)4 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_b)4 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)6 + (X_a)4 (X_b)2 + (X_a)2 (X_c)4 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_a)4 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_c)6 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1084

a 0 a 0 0 0
0 a 0 a a a
b 0 b 0 0 0
0 b 0 b b b
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b 0 b b b
0 b c b a a
b 0 b 0 0 0
b 0 a 0 c c
b b b b b b
b b a b a a
0 a 0 a a a
0 a c a b b
0 c 0 c c c
0 c c c 0 0
b a b a a a
b a a a b b
b c b c c c
b c a c 0 0
a 0 a 0 0 0
a 0 b 0 c c
a b a b b b
a b b b a a
c 0 c 0 0 0
c 0 0 0 c c
c b c b b b
c b 0 b a a
a a a a a a
a a b a b b
a c a c c c
a c b c 0 0
c a c a a a
c a 0 a b b
c c c c c c
c c 0 c 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 4x3 + 7x4 + 4x5 + 13x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_b)6 + (X_a)3 (X_b)3 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_a)4 (X_b)2 + (X_a)3 (X_b)3 + (X_b)2 (X_c)4 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_a)2 (X_b)4 + (X_a)3 (X_b)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_b)4 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)6 + (X_a)3 (X_b)3 + (X_a)2 (X_c)4 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_a)4 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_c)6 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1085

a 0 a 0 0 0
0 a 0 a a a
b 0 b 0 0 0
0 b 0 b b b
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b 0 b b b
0 b c a b b
b 0 b 0 0 0
b 0 a c 0 0
b b b b b b
b b a a b b
0 a 0 a a a
0 a c b a a
0 c 0 c c c
0 c c 0 c c
b a b a a a
b a a b a a
b c b c c c
b c a 0 c c
a 0 a 0 0 0
a 0 b c 0 0
a b a b b b
a b b a b b
c 0 c 0 0 0
c 0 0 c 0 0
c b c b b b
c b 0 a b b
a a a a a a
a a b b a a
a c a c c c
a c b 0 c c
c a c a a a
c a 0 b a a
c c c c c c
c c 0 0 c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 5x2 + 2x3 + 5x4 + 6x5 + 13x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)4 (X_b)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_b)6 + (X_a)2 (X_b)4 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_a)4 (X_b)2 + (X_a)4 (X_b)2 + (X_b)2 (X_c)4 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_a)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_a)2 (X_b)4 + (X_a)2 (X_b)4 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_b)4 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)6 + (X_a)4 (X_b)2 + (X_a)2 (X_c)4 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_a)4 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_c)6 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1086

a 0 a 0 0 0
0 a 0 a a a
b 0 b 0 0 0
0 b 0 b b b
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b 0 b b b
0 b c a b a
b 0 b 0 0 0
b 0 a c 0 c
b b b b b b
b b a a b a
0 a 0 a a a
0 a c b a b
0 c 0 c c c
0 c c 0 c 0
b a b a a a
b a a b a b
b c b c c c
b c a 0 c 0
a 0 a 0 0 0
a 0 b c 0 c
a b a b b b
a b b a b a
c 0 c 0 0 0
c 0 0 c 0 c
c b c b b b
c b 0 a b a
a a a a a a
a a b b a b
a c a c c c
a c b 0 c 0
c a c a a a
c a 0 b a b
c c c c c c
c c 0 0 c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 4x3 + 7x4 + 4x5 + 13x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_b)6 + (X_a)3 (X_b)3 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_a)4 (X_b)2 + (X_a)3 (X_b)3 + (X_b)2 (X_c)4 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_a)2 (X_b)4 + (X_a)3 (X_b)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_b)4 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)6 + (X_a)3 (X_b)3 + (X_a)2 (X_c)4 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_a)4 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_c)6 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1087

a 0 a 0 0 0
0 a 0 a a a
b 0 b 0 0 0
0 b 0 b b b
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b 0 b b b
0 b c a a b
b 0 b 0 0 0
b 0 a c c 0
b b b b b b
b b a a a b
0 a 0 a a a
0 a c b b a
0 c 0 c c c
0 c c 0 0 c
b a b a a a
b a a b b a
b c b c c c
b c a 0 0 c
a 0 a 0 0 0
a 0 b c c 0
a b a b b b
a b b a a b
c 0 c 0 0 0
c 0 0 c c 0
c b c b b b
c b 0 a a b
a a a a a a
a a b b b a
a c a c c c
a c b 0 0 c
c a c a a a
c a 0 b b a
c c c c c c
c c 0 0 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 4x3 + 7x4 + 4x5 + 13x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_b)6 + (X_a)3 (X_b)3 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_a)4 (X_b)2 + (X_a)3 (X_b)3 + (X_b)2 (X_c)4 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_a)2 (X_b)4 + (X_a)3 (X_b)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_b)4 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)6 + (X_a)3 (X_b)3 + (X_a)2 (X_c)4 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_a)4 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_c)6 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1088

a 0 a 0 0 0
0 a 0 a a a
b 0 b 0 0 0
0 b 0 b b b
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b 0 b b b
0 b c a a a
b 0 b 0 0 0
b 0 a c c c
b b b b b b
b b a a a a
0 a 0 a a a
0 a c b b b
0 c 0 c c c
0 c c 0 0 0
b a b a a a
b a a b b b
b c b c c c
b c a 0 0 0
a 0 a 0 0 0
a 0 b c c c
a b a b b b
a b b a a a
c 0 c 0 0 0
c 0 0 c c c
c b c b b b
c b 0 a a a
a a a a a a
a a b b b b
a c a c c c
a c b 0 0 0
c a c a a a
c a 0 b b b
c c c c c c
c c 0 0 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 5x2 + 2x3 + 5x4 + 6x5 + 13x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)2 (X_b)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)4 (X_b)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_b)6 + (X_a)4 (X_b)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_a)4 (X_b)2 + (X_a)2 (X_b)4 + (X_b)2 (X_c)4 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)4 (X_a)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_a)2 (X_b)4 + (X_a)4 (X_b)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_b)4 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)6 + (X_a)2 (X_b)4 + (X_a)2 (X_c)4 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_a)4 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_c)6 + (X_0)4 (X_c)2

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1089

a 0 a 0 0 a
0 a 0 0 0 0
b 0 b 0 0 b
0 b 0 0 0 0
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b 0 0 0 0
0 b c 0 0 0
b 0 b 0 0 b
b 0 a 0 0 b
b b b 0 0 b
b b a 0 0 b
0 a 0 0 0 0
0 a c 0 0 0
0 c 0 0 0 0
0 c c 0 0 0
b a b 0 0 b
b a a 0 0 b
b c b 0 0 b
b c a 0 0 b
a 0 a 0 0 a
a 0 b 0 0 a
a b a 0 0 a
a b b 0 0 a
c 0 c 0 0 c
c 0 0 0 0 c
c b c 0 0 c
c b 0 0 0 c
a a a 0 0 a
a a b 0 0 a
a c a 0 0 a
a c b 0 0 a
c a c 0 0 c
c a 0 0 0 c
c c c 0 0 c
c c 0 0 0 c

dmin: 1
Weight Enumerator: 1x0 + 4x1 + 4x2 + 8x3 + 15x4 + 0x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)5 (X_b)1 + (X_0)4 (X_b)1 (X_c)1 + (X_0)3 (X_b)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)2 (X_b)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)5 (X_a)1 + (X_0)4 (X_a)1 (X_c)1 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)2 (X_a)1 (X_b)3 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_b)3 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)2 (X_a)3 (X_b)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_b)1 (X_c)3 + (X_0)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)2 (X_a)3 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_c)3 + (X_0)3 (X_a)1 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 0 a 0 0
0 0 0 a a 0
0 0 0 a b 0
0 0 0 a c 0
0 0 0 b 0 0
0 0 0 b a 0
0 0 0 b b 0
0 0 0 b c 0
0 0 0 c 0 0
0 0 0 c a 0
0 0 0 c b 0
0 0 0 c c 0

Is it a nice code?: No

Generator Matrix-1090

a 0 a 0 0 a
0 a 0 0 0 0
b 0 b 0 0 b
0 b 0 0 0 0
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b 0 0 0 0
0 b c 0 0 c
b 0 b 0 0 b
b 0 a 0 0 a
b b b 0 0 b
b b a 0 0 a
0 a 0 0 0 0
0 a c 0 0 c
0 c 0 0 0 0
0 c c 0 0 c
b a b 0 0 b
b a a 0 0 a
b c b 0 0 b
b c a 0 0 a
a 0 a 0 0 a
a 0 b 0 0 b
a b a 0 0 a
a b b 0 0 b
c 0 c 0 0 c
c 0 0 0 0 0
c b c 0 0 c
c b 0 0 0 0
a a a 0 0 a
a a b 0 0 b
a c a 0 0 a
a c b 0 0 b
c a c 0 0 c
c a 0 0 0 0
c c c 0 0 c
c c 0 0 0 0

dmin: 1
Weight Enumerator: 1x0 + 4x1 + 4x2 + 8x3 + 15x4 + 0x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)5 (X_b)1 + (X_0)3 (X_b)1 (X_c)2 + (X_0)3 (X_b)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)5 (X_a)1 + (X_0)3 (X_a)1 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)2 (X_a)1 (X_b)3 + (X_0)2 (X_a)3 (X_b)1 + (X_0)2 (X_b)3 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_a)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)2 (X_a)3 (X_b)1 + (X_0)2 (X_a)1 (X_b)3 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)2 (X_b)1 (X_c)3 + (X_0)4 (X_b)1 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_a)3 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_c)3 + (X_0)4 (X_a)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 0 a 0 0
0 0 0 a a 0
0 0 0 a b 0
0 0 0 a c 0
0 0 0 b 0 0
0 0 0 b a 0
0 0 0 b b 0
0 0 0 b c 0
0 0 0 c 0 0
0 0 0 c a 0
0 0 0 c b 0
0 0 0 c c 0

Is it a nice code?: No

Generator Matrix-1091

a 0 a 0 0 a
0 a 0 0 0 0
b 0 b 0 0 b
0 b 0 0 0 0
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b 0 0 0 0
0 b c 0 c 0
b 0 b 0 0 b
b 0 a 0 c b
b b b 0 0 b
b b a 0 c b
0 a 0 0 0 0
0 a c 0 c 0
0 c 0 0 0 0
0 c c 0 c 0
b a b 0 0 b
b a a 0 c b
b c b 0 0 b
b c a 0 c b
a 0 a 0 0 a
a 0 b 0 c a
a b a 0 0 a
a b b 0 c a
c 0 c 0 0 c
c 0 0 0 c c
c b c 0 0 c
c b 0 0 c c
a a a 0 0 a
a a b 0 c a
a c a 0 0 a
a c b 0 c a
c a c 0 0 c
c a 0 0 c c
c c c 0 0 c
c c 0 0 c c

dmin: 1
Weight Enumerator: 1x0 + 3x1 + 1x2 + 7x3 + 14x4 + 6x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)5 (X_b)1 + (X_0)3 (X_b)1 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)5 (X_a)1 + (X_0)3 (X_a)1 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_b)1 (X_c)3 + (X_0)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_c)3 + (X_0)2 (X_a)1 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 0 a 0 0
0 0 0 a a 0
0 0 0 a b 0
0 0 0 a c 0
0 0 0 b 0 0
0 0 0 b a 0
0 0 0 b b 0
0 0 0 b c 0
0 0 0 c 0 0
0 0 0 c a 0
0 0 0 c b 0
0 0 0 c c 0

Is it a nice code?: No

Generator Matrix-1092

a 0 a 0 0 a
0 a 0 0 0 0
b 0 b 0 0 b
0 b 0 0 0 0
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b 0 0 0 0
0 b c 0 c c
b 0 b 0 0 b
b 0 a 0 c a
b b b 0 0 b
b b a 0 c a
0 a 0 0 0 0
0 a c 0 c c
0 c 0 0 0 0
0 c c 0 c c
b a b 0 0 b
b a a 0 c a
b c b 0 0 b
b c a 0 c a
a 0 a 0 0 a
a 0 b 0 c b
a b a 0 0 a
a b b 0 c b
c 0 c 0 0 c
c 0 0 0 c 0
c b c 0 0 c
c b 0 0 c 0
a a a 0 0 a
a a b 0 c b
a c a 0 0 a
a c b 0 c b
c a c 0 0 c
c a 0 0 c 0
c c c 0 0 c
c c 0 0 c 0

dmin: 1
Weight Enumerator: 1x0 + 3x1 + 1x2 + 7x3 + 14x4 + 6x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)5 (X_b)1 + (X_0)2 (X_b)1 (X_c)3 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)5 (X_a)1 + (X_0)2 (X_a)1 (X_c)3 + (X_0)5 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_b)1 (X_c)3 + (X_0)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_c)3 + (X_0)3 (X_a)1 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 0 a 0 0
0 0 0 a a 0
0 0 0 a b 0
0 0 0 a c 0
0 0 0 b 0 0
0 0 0 b a 0
0 0 0 b b 0
0 0 0 b c 0
0 0 0 c 0 0
0 0 0 c a 0
0 0 0 c b 0
0 0 0 c c 0

Is it a nice code?: No

Generator Matrix-1093

a 0 a 0 0 a
0 a 0 0 0 0
b 0 b 0 0 b
0 b 0 0 0 0
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b 0 0 0 0
0 b c c 0 0
b 0 b 0 0 b
b 0 a c 0 b
b b b 0 0 b
b b a c 0 b
0 a 0 0 0 0
0 a c c 0 0
0 c 0 0 0 0
0 c c c 0 0
b a b 0 0 b
b a a c 0 b
b c b 0 0 b
b c a c 0 b
a 0 a 0 0 a
a 0 b c 0 a
a b a 0 0 a
a b b c 0 a
c 0 c 0 0 c
c 0 0 c 0 c
c b c 0 0 c
c b 0 c 0 c
a a a 0 0 a
a a b c 0 a
a c a 0 0 a
a c b c 0 a
c a c 0 0 c
c a 0 c 0 c
c c c 0 0 c
c c 0 c 0 c

dmin: 1
Weight Enumerator: 1x0 + 3x1 + 1x2 + 7x3 + 14x4 + 6x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)5 (X_b)1 + (X_0)3 (X_b)1 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)5 (X_a)1 + (X_0)3 (X_a)1 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_b)1 (X_c)3 + (X_0)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_c)3 + (X_0)2 (X_a)1 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 0 a 0 0
0 0 0 a a 0
0 0 0 a b 0
0 0 0 a c 0
0 0 0 b 0 0
0 0 0 b a 0
0 0 0 b b 0
0 0 0 b c 0
0 0 0 c 0 0
0 0 0 c a 0
0 0 0 c b 0
0 0 0 c c 0

Is it a nice code?: No

Generator Matrix-1094

a 0 a 0 0 a
0 a 0 0 0 0
b 0 b 0 0 b
0 b 0 0 0 0
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b 0 0 0 0
0 b c c 0 c
b 0 b 0 0 b
b 0 a c 0 a
b b b 0 0 b
b b a c 0 a
0 a 0 0 0 0
0 a c c 0 c
0 c 0 0 0 0
0 c c c 0 c
b a b 0 0 b
b a a c 0 a
b c b 0 0 b
b c a c 0 a
a 0 a 0 0 a
a 0 b c 0 b
a b a 0 0 a
a b b c 0 b
c 0 c 0 0 c
c 0 0 c 0 0
c b c 0 0 c
c b 0 c 0 0
a a a 0 0 a
a a b c 0 b
a c a 0 0 a
a c b c 0 b
c a c 0 0 c
c a 0 c 0 0
c c c 0 0 c
c c 0 c 0 0

dmin: 1
Weight Enumerator: 1x0 + 3x1 + 1x2 + 7x3 + 14x4 + 6x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)5 (X_b)1 + (X_0)2 (X_b)1 (X_c)3 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)5 (X_a)1 + (X_0)2 (X_a)1 (X_c)3 + (X_0)5 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_b)1 (X_c)3 + (X_0)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_c)3 + (X_0)3 (X_a)1 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 0 a 0 0
0 0 0 a a 0
0 0 0 a b 0
0 0 0 a c 0
0 0 0 b 0 0
0 0 0 b a 0
0 0 0 b b 0
0 0 0 b c 0
0 0 0 c 0 0
0 0 0 c a 0
0 0 0 c b 0
0 0 0 c c 0

Is it a nice code?: No

Generator Matrix-1095

a 0 a 0 0 a
0 a 0 0 0 0
b 0 b 0 0 b
0 b 0 0 0 0
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b 0 0 0 0
0 b c c c 0
b 0 b 0 0 b
b 0 a c c b
b b b 0 0 b
b b a c c b
0 a 0 0 0 0
0 a c c c 0
0 c 0 0 0 0
0 c c c c 0
b a b 0 0 b
b a a c c b
b c b 0 0 b
b c a c c b
a 0 a 0 0 a
a 0 b c c a
a b a 0 0 a
a b b c c a
c 0 c 0 0 c
c 0 0 c c c
c b c 0 0 c
c b 0 c c c
a a a 0 0 a
a a b c c a
a c a 0 0 a
a c b c c a
c a c 0 0 c
c a 0 c c c
c c c 0 0 c
c c 0 c c c

dmin: 1
Weight Enumerator: 1x0 + 3x1 + 0x2 + 4x3 + 13x4 + 5x5 + 6x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)5 (X_b)1 + (X_0)2 (X_b)1 (X_c)3 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_b)4 + (X_a)1 (X_b)3 (X_c)2 + (X_0)5 (X_a)1 + (X_0)2 (X_a)1 (X_c)3 + (X_0)5 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_a)1 (X_b)3 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_b)3 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)3 (X_b)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_b)1 (X_c)3 + (X_0)1 (X_b)1 (X_c)4 + (X_0)2 (X_a)4 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)3 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_c)3 + (X_0)1 (X_a)1 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 0 a 0 0
0 0 0 a a 0
0 0 0 a b 0
0 0 0 a c 0
0 0 0 b 0 0
0 0 0 b a 0
0 0 0 b b 0
0 0 0 b c 0
0 0 0 c 0 0
0 0 0 c a 0
0 0 0 c b 0
0 0 0 c c 0

Is it a nice code?: No

Generator Matrix-1096

a 0 a 0 0 a
0 a 0 0 0 0
b 0 b 0 0 b
0 b 0 0 0 0
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b 0 0 0 0
0 b c c c c
b 0 b 0 0 b
b 0 a c c a
b b b 0 0 b
b b a c c a
0 a 0 0 0 0
0 a c c c c
0 c 0 0 0 0
0 c c c c c
b a b 0 0 b
b a a c c a
b c b 0 0 b
b c a c c a
a 0 a 0 0 a
a 0 b c c b
a b a 0 0 a
a b b c c b
c 0 c 0 0 c
c 0 0 c c 0
c b c 0 0 c
c b 0 c c 0
a a a 0 0 a
a a b c c b
a c a 0 0 a
a c b c c b
c a c 0 0 c
c a 0 c c 0
c c c 0 0 c
c c 0 c c 0

dmin: 1
Weight Enumerator: 1x0 + 3x1 + 0x2 + 4x3 + 13x4 + 5x5 + 6x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)5 (X_b)1 + (X_0)1 (X_b)1 (X_c)4 + (X_0)3 (X_b)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_b)4 + (X_a)2 (X_b)2 (X_c)2 + (X_0)5 (X_a)1 + (X_0)1 (X_a)1 (X_c)4 + (X_0)5 (X_c)1 + (X_0)1 (X_c)5 + (X_0)2 (X_a)1 (X_b)3 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_b)3 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_a)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)3 (X_b)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_b)1 (X_c)3 + (X_0)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)4 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)3 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)1 (X_c)3 + (X_0)2 (X_a)1 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 0 a 0 0
0 0 0 a a 0
0 0 0 a b 0
0 0 0 a c 0
0 0 0 b 0 0
0 0 0 b a 0
0 0 0 b b 0
0 0 0 b c 0
0 0 0 c 0 0
0 0 0 c a 0
0 0 0 c b 0
0 0 0 c c 0

Is it a nice code?: No

Generator Matrix-1097

a 0 a 0 0 a
0 a 0 0 0 a
b 0 b 0 0 b
0 b 0 0 0 b
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b 0 0 0 b
0 b c 0 0 b
b 0 b 0 0 b
b 0 a 0 0 b
b b b 0 0 0
b b a 0 0 0
0 a 0 0 0 a
0 a c 0 0 a
0 c 0 0 0 c
0 c c 0 0 c
b a b 0 0 c
b a a 0 0 c
b c b 0 0 a
b c a 0 0 a
a 0 a 0 0 a
a 0 b 0 0 a
a b a 0 0 c
a b b 0 0 c
c 0 c 0 0 c
c 0 0 0 0 c
c b c 0 0 a
c b 0 0 0 a
a a a 0 0 0
a a b 0 0 0
a c a 0 0 b
a c b 0 0 b
c a c 0 0 b
c a 0 0 0 b
c c c 0 0 0
c c 0 0 0 0

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 5x2 + 15x3 + 10x4 + 0x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)4 (X_b)2 + (X_0)3 (X_b)2 (X_c)1 + (X_0)3 (X_b)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)3 (X_b)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)4 (X_a)2 + (X_0)3 (X_a)2 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_a)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)3 (X_a)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 0 a 0 0
0 0 0 a a 0
0 0 0 a b 0
0 0 0 a c 0
0 0 0 b 0 0
0 0 0 b a 0
0 0 0 b b 0
0 0 0 b c 0
0 0 0 c 0 0
0 0 0 c a 0
0 0 0 c b 0
0 0 0 c c 0

Is it a nice code?: No

Generator Matrix-1098

a 0 a 0 0 a
0 a 0 0 0 a
b 0 b 0 0 b
0 b 0 0 0 b
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b 0 0 0 b
0 b c 0 0 a
b 0 b 0 0 b
b 0 a 0 0 a
b b b 0 0 0
b b a 0 0 c
0 a 0 0 0 a
0 a c 0 0 b
0 c 0 0 0 c
0 c c 0 0 0
b a b 0 0 c
b a a 0 0 0
b c b 0 0 a
b c a 0 0 b
a 0 a 0 0 a
a 0 b 0 0 b
a b a 0 0 c
a b b 0 0 0
c 0 c 0 0 c
c 0 0 0 0 0
c b c 0 0 a
c b 0 0 0 b
a a a 0 0 0
a a b 0 0 c
a c a 0 0 b
a c b 0 0 a
c a c 0 0 b
c a 0 0 0 a
c c c 0 0 0
c c 0 0 0 c

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 5x2 + 15x3 + 10x4 + 0x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_b)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)3 (X_b)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)4 (X_a)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_a)2 (X_b)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_a)1 (X_b)2 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_a)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 0 a 0 0
0 0 0 a a 0
0 0 0 a b 0
0 0 0 a c 0
0 0 0 b 0 0
0 0 0 b a 0
0 0 0 b b 0
0 0 0 b c 0
0 0 0 c 0 0
0 0 0 c a 0
0 0 0 c b 0
0 0 0 c c 0

Is it a nice code?: No

Generator Matrix-1099

a 0 a 0 0 a
0 a 0 0 0 a
b 0 b 0 0 b
0 b 0 0 0 b
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b 0 0 0 b
0 b c 0 c b
b 0 b 0 0 b
b 0 a 0 c b
b b b 0 0 0
b b a 0 c 0
0 a 0 0 0 a
0 a c 0 c a
0 c 0 0 0 c
0 c c 0 c c
b a b 0 0 c
b a a 0 c c
b c b 0 0 a
b c a 0 c a
a 0 a 0 0 a
a 0 b 0 c a
a b a 0 0 c
a b b 0 c c
c 0 c 0 0 c
c 0 0 0 c c
c b c 0 0 a
c b 0 0 c a
a a a 0 0 0
a a b 0 c 0
a c a 0 0 b
a c b 0 c b
c a c 0 0 b
c a 0 0 c b
c c c 0 0 0
c c 0 0 c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 8x3 + 15x4 + 4x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 0 a 0 0
0 0 0 a a 0
0 0 0 a b 0
0 0 0 a c 0
0 0 0 b 0 0
0 0 0 b a 0
0 0 0 b b 0
0 0 0 b c 0
0 0 0 c 0 0
0 0 0 c a 0
0 0 0 c b 0
0 0 0 c c 0

Is it a nice code?: No

Generator Matrix-1100

a 0 a 0 0 a
0 a 0 0 0 a
b 0 b 0 0 b
0 b 0 0 0 b
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b 0 0 0 b
0 b c 0 c a
b 0 b 0 0 b
b 0 a 0 c a
b b b 0 0 0
b b a 0 c c
0 a 0 0 0 a
0 a c 0 c b
0 c 0 0 0 c
0 c c 0 c 0
b a b 0 0 c
b a a 0 c 0
b c b 0 0 a
b c a 0 c b
a 0 a 0 0 a
a 0 b 0 c b
a b a 0 0 c
a b b 0 c 0
c 0 c 0 0 c
c 0 0 0 c 0
c b c 0 0 a
c b 0 0 c b
a a a 0 0 0
a a b 0 c c
a c a 0 0 b
a c b 0 c a
c a c 0 0 b
c a 0 0 c a
c c c 0 0 0
c c 0 0 c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 8x3 + 15x4 + 4x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 0 a 0 0
0 0 0 a a 0
0 0 0 a b 0
0 0 0 a c 0
0 0 0 b 0 0
0 0 0 b a 0
0 0 0 b b 0
0 0 0 b c 0
0 0 0 c 0 0
0 0 0 c a 0
0 0 0 c b 0
0 0 0 c c 0

Is it a nice code?: No

Generator Matrix-1101

a 0 a 0 0 a
0 a 0 0 0 a
b 0 b 0 0 b
0 b 0 0 0 b
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b 0 0 0 b
0 b c c 0 b
b 0 b 0 0 b
b 0 a c 0 b
b b b 0 0 0
b b a c 0 0
0 a 0 0 0 a
0 a c c 0 a
0 c 0 0 0 c
0 c c c 0 c
b a b 0 0 c
b a a c 0 c
b c b 0 0 a
b c a c 0 a
a 0 a 0 0 a
a 0 b c 0 a
a b a 0 0 c
a b b c 0 c
c 0 c 0 0 c
c 0 0 c 0 c
c b c 0 0 a
c b 0 c 0 a
a a a 0 0 0
a a b c 0 0
a c a 0 0 b
a c b c 0 b
c a c 0 0 b
c a 0 c 0 b
c c c 0 0 0
c c 0 c 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 8x3 + 15x4 + 4x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 0 a 0 0
0 0 0 a a 0
0 0 0 a b 0
0 0 0 a c 0
0 0 0 b 0 0
0 0 0 b a 0
0 0 0 b b 0
0 0 0 b c 0
0 0 0 c 0 0
0 0 0 c a 0
0 0 0 c b 0
0 0 0 c c 0

Is it a nice code?: No

Generator Matrix-1102

a 0 a 0 0 a
0 a 0 0 0 a
b 0 b 0 0 b
0 b 0 0 0 b
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b 0 0 0 b
0 b c c 0 a
b 0 b 0 0 b
b 0 a c 0 a
b b b 0 0 0
b b a c 0 c
0 a 0 0 0 a
0 a c c 0 b
0 c 0 0 0 c
0 c c c 0 0
b a b 0 0 c
b a a c 0 0
b c b 0 0 a
b c a c 0 b
a 0 a 0 0 a
a 0 b c 0 b
a b a 0 0 c
a b b c 0 0
c 0 c 0 0 c
c 0 0 c 0 0
c b c 0 0 a
c b 0 c 0 b
a a a 0 0 0
a a b c 0 c
a c a 0 0 b
a c b c 0 a
c a c 0 0 b
c a 0 c 0 a
c c c 0 0 0
c c 0 c 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 8x3 + 15x4 + 4x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 0 a 0 0
0 0 0 a a 0
0 0 0 a b 0
0 0 0 a c 0
0 0 0 b 0 0
0 0 0 b a 0
0 0 0 b b 0
0 0 0 b c 0
0 0 0 c 0 0
0 0 0 c a 0
0 0 0 c b 0
0 0 0 c c 0

Is it a nice code?: No

Generator Matrix-1103

a 0 a 0 0 a
0 a 0 0 0 a
b 0 b 0 0 b
0 b 0 0 0 b
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b 0 0 0 b
0 b c c c b
b 0 b 0 0 b
b 0 a c c b
b b b 0 0 0
b b a c c 0
0 a 0 0 0 a
0 a c c c a
0 c 0 0 0 c
0 c c c c c
b a b 0 0 c
b a a c c c
b c b 0 0 a
b c a c c a
a 0 a 0 0 a
a 0 b c c a
a b a 0 0 c
a b b c c c
c 0 c 0 0 c
c 0 0 c c c
c b c 0 0 a
c b 0 c c a
a a a 0 0 0
a a b c c 0
a c a 0 0 b
a c b c c b
c a c 0 0 b
c a 0 c c b
c c c 0 0 0
c c 0 c c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 7x3 + 8x4 + 9x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)4 (X_b)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)4 (X_a)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 0 a 0 0
0 0 0 a a 0
0 0 0 a b 0
0 0 0 a c 0
0 0 0 b 0 0
0 0 0 b a 0
0 0 0 b b 0
0 0 0 b c 0
0 0 0 c 0 0
0 0 0 c a 0
0 0 0 c b 0
0 0 0 c c 0

Is it a nice code?: No

Generator Matrix-1104

a 0 a 0 0 a
0 a 0 0 0 a
b 0 b 0 0 b
0 b 0 0 0 b
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b 0 0 0 b
0 b c c c a
b 0 b 0 0 b
b 0 a c c a
b b b 0 0 0
b b a c c c
0 a 0 0 0 a
0 a c c c b
0 c 0 0 0 c
0 c c c c 0
b a b 0 0 c
b a a c c 0
b c b 0 0 a
b c a c c b
a 0 a 0 0 a
a 0 b c c b
a b a 0 0 c
a b b c c 0
c 0 c 0 0 c
c 0 0 c c 0
c b c 0 0 a
c b 0 c c b
a a a 0 0 0
a a b c c c
a c a 0 0 b
a c b c c a
c a c 0 0 b
c a 0 c c a
c c c 0 0 0
c c 0 c c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 7x3 + 8x4 + 9x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)4 (X_b)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_b)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_b)3 + (X_a)1 (X_b)2 (X_c)3 + (X_0)4 (X_a)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)3 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 0 a 0 0
0 0 0 a a 0
0 0 0 a b 0
0 0 0 a c 0
0 0 0 b 0 0
0 0 0 b a 0
0 0 0 b b 0
0 0 0 b c 0
0 0 0 c 0 0
0 0 0 c a 0
0 0 0 c b 0
0 0 0 c c 0

Is it a nice code?: No

Generator Matrix-1105

a 0 a 0 0 a
0 a 0 0 a 0
b 0 b 0 0 b
0 b 0 0 b 0
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b 0 0 b 0
0 b c 0 b 0
b 0 b 0 0 b
b 0 a 0 0 b
b b b 0 b b
b b a 0 b b
0 a 0 0 a 0
0 a c 0 a 0
0 c 0 0 c 0
0 c c 0 c 0
b a b 0 a b
b a a 0 a b
b c b 0 c b
b c a 0 c b
a 0 a 0 0 a
a 0 b 0 0 a
a b a 0 b a
a b b 0 b a
c 0 c 0 0 c
c 0 0 0 0 c
c b c 0 b c
c b 0 0 b c
a a a 0 a a
a a b 0 a a
a c a 0 c a
a c b 0 c a
c a c 0 a c
c a 0 0 a c
c c c 0 c c
c c 0 0 c c

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 4x2 + 8x3 + 3x4 + 15x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)4 (X_b)2 + (X_0)3 (X_b)2 (X_c)1 + (X_0)3 (X_b)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)1 (X_b)5 + (X_0)1 (X_a)1 (X_b)4 + (X_0)4 (X_a)2 + (X_0)3 (X_a)2 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)2 (X_b)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)5 + (X_0)1 (X_a)4 (X_b)1 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0

Is it a nice code?: No

Generator Matrix-1106

a 0 a 0 0 a
0 a 0 0 a 0
b 0 b 0 0 b
0 b 0 0 b 0
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b 0 0 b 0
0 b c 0 b c
b 0 b 0 0 b
b 0 a 0 0 a
b b b 0 b b
b b a 0 b a
0 a 0 0 a 0
0 a c 0 a c
0 c 0 0 c 0
0 c c 0 c c
b a b 0 a b
b a a 0 a a
b c b 0 c b
b c a 0 c a
a 0 a 0 0 a
a 0 b 0 0 b
a b a 0 b a
a b b 0 b b
c 0 c 0 0 c
c 0 0 0 0 0
c b c 0 b c
c b 0 0 b 0
a a a 0 a a
a a b 0 a b
a c a 0 c a
a c b 0 c b
c a c 0 a c
c a 0 0 a 0
c c c 0 c c
c c 0 0 c 0

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 4x2 + 8x3 + 3x4 + 15x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)3 (X_b)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)1 (X_b)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)4 (X_b)1 + (X_0)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)1 (X_b)4 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)1 (X_b)2 (X_c)3 + (X_0)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)3 (X_a)2 (X_c)1 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0

Is it a nice code?: No

Generator Matrix-1107

a 0 a 0 0 a
0 a 0 0 a 0
b 0 b 0 0 b
0 b 0 0 b 0
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b 0 0 b 0
0 b c 0 a 0
b 0 b 0 0 b
b 0 a 0 c b
b b b 0 b b
b b a 0 a b
0 a 0 0 a 0
0 a c 0 b 0
0 c 0 0 c 0
0 c c 0 0 0
b a b 0 a b
b a a 0 b b
b c b 0 c b
b c a 0 0 b
a 0 a 0 0 a
a 0 b 0 c a
a b a 0 b a
a b b 0 a a
c 0 c 0 0 c
c 0 0 0 c c
c b c 0 b c
c b 0 0 a c
a a a 0 a a
a a b 0 b a
a c a 0 c a
a c b 0 0 a
c a c 0 a c
c a 0 0 b c
c c c 0 c c
c c 0 0 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 5x2 + 7x3 + 6x4 + 13x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_b)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_b)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)4 (X_a)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)3 (X_b)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)3 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0

Is it a nice code?: No

Generator Matrix-1108

a 0 a 0 0 a
0 a 0 0 a 0
b 0 b 0 0 b
0 b 0 0 b 0
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b 0 0 b 0
0 b c 0 a c
b 0 b 0 0 b
b 0 a 0 c a
b b b 0 b b
b b a 0 a a
0 a 0 0 a 0
0 a c 0 b c
0 c 0 0 c 0
0 c c 0 0 c
b a b 0 a b
b a a 0 b a
b c b 0 c b
b c a 0 0 a
a 0 a 0 0 a
a 0 b 0 c b
a b a 0 b a
a b b 0 a b
c 0 c 0 0 c
c 0 0 0 c 0
c b c 0 b c
c b 0 0 a 0
a a a 0 a a
a a b 0 b b
a c a 0 c a
a c b 0 0 b
c a c 0 a c
c a 0 0 b 0
c c c 0 c c
c c 0 0 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 5x2 + 7x3 + 6x4 + 13x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_b)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)2 (X_b)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_c)3 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0

Is it a nice code?: No

Generator Matrix-1109

a 0 a 0 0 a
0 a 0 0 a 0
b 0 b 0 0 b
0 b 0 0 b 0
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b 0 0 b 0
0 b c c b 0
b 0 b 0 0 b
b 0 a c 0 b
b b b 0 b b
b b a c b b
0 a 0 0 a 0
0 a c c a 0
0 c 0 0 c 0
0 c c c c 0
b a b 0 a b
b a a c a b
b c b 0 c b
b c a c c b
a 0 a 0 0 a
a 0 b c 0 a
a b a 0 b a
a b b c b a
c 0 c 0 0 c
c 0 0 c 0 c
c b c 0 b c
c b 0 c b c
a a a 0 a a
a a b c a a
a c a 0 c a
a c b c c a
c a c 0 a c
c a 0 c a c
c c c 0 c c
c c 0 c c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 4x3 + 5x4 + 12x5 + 6x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_b)5 + (X_a)1 (X_b)4 (X_c)1 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_a)2 (X_b)3 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_b)3 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_a)2 (X_b)3 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_b)2 (X_c)3 + (X_0)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)5 + (X_a)4 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)2 (X_c)3 + (X_0)1 (X_a)2 (X_c)3 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0

Is it a nice code?: No

Generator Matrix-1110

a 0 a 0 0 a
0 a 0 0 a 0
b 0 b 0 0 b
0 b 0 0 b 0
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b 0 0 b 0
0 b c c b c
b 0 b 0 0 b
b 0 a c 0 a
b b b 0 b b
b b a c b a
0 a 0 0 a 0
0 a c c a c
0 c 0 0 c 0
0 c c c c c
b a b 0 a b
b a a c a a
b c b 0 c b
b c a c c a
a 0 a 0 0 a
a 0 b c 0 b
a b a 0 b a
a b b c b b
c 0 c 0 0 c
c 0 0 c 0 0
c b c 0 b c
c b 0 c b 0
a a a 0 a a
a a b c a b
a c a 0 c a
a c b c c b
c a c 0 a c
c a 0 c a 0
c c c 0 c c
c c 0 c c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 4x3 + 5x4 + 12x5 + 6x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)4 (X_b)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_b)5 + (X_a)2 (X_b)3 (X_c)1 + (X_0)4 (X_a)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5 + (X_0)1 (X_a)2 (X_b)3 + (X_a)4 (X_b)1 (X_c)1 + (X_0)1 (X_b)3 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_a)1 (X_b)4 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)5 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)2 (X_c)3 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0

Is it a nice code?: No

Generator Matrix-1111

a 0 a 0 0 a
0 a 0 0 a 0
b 0 b 0 0 b
0 b 0 0 b 0
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b 0 0 b 0
0 b c c a 0
b 0 b 0 0 b
b 0 a c c b
b b b 0 b b
b b a c a b
0 a 0 0 a 0
0 a c c b 0
0 c 0 0 c 0
0 c c c 0 0
b a b 0 a b
b a a c b b
b c b 0 c b
b c a c 0 b
a 0 a 0 0 a
a 0 b c c a
a b a 0 b a
a b b c a a
c 0 c 0 0 c
c 0 0 c c c
c b c 0 b c
c b 0 c a c
a a a 0 a a
a a b c b a
a c a 0 c a
a c b c 0 a
c a c 0 a c
c a 0 c b c
c c c 0 c c
c c 0 c 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 5x3 + 4x4 + 15x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_b)5 + (X_a)2 (X_b)3 (X_c)1 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)3 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_b)2 + (X_a)3 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)5 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0

Is it a nice code?: No

Generator Matrix-1112

a 0 a 0 0 a
0 a 0 0 a 0
b 0 b 0 0 b
0 b 0 0 b 0
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b 0 0 b 0
0 b c c a c
b 0 b 0 0 b
b 0 a c c a
b b b 0 b b
b b a c a a
0 a 0 0 a 0
0 a c c b c
0 c 0 0 c 0
0 c c c 0 c
b a b 0 a b
b a a c b a
b c b 0 c b
b c a c 0 a
a 0 a 0 0 a
a 0 b c c b
a b a 0 b a
a b b c a b
c 0 c 0 0 c
c 0 0 c c 0
c b c 0 b c
c b 0 c a 0
a a a 0 a a
a a b c b b
a c a 0 c a
a c b c 0 b
c a c 0 a c
c a 0 c b 0
c c c 0 c c
c c 0 c 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 5x3 + 4x4 + 15x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)4 (X_b)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_b)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_b)5 + (X_a)3 (X_b)2 (X_c)1 + (X_0)4 (X_a)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_a)2 (X_b)3 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)3 (X_b)2 + (X_a)2 (X_b)3 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)5 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0

Is it a nice code?: No

Generator Matrix-1113

a 0 a 0 0 a
0 a 0 0 a a
b 0 b 0 0 b
0 b 0 0 b b
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b 0 0 b b
0 b c 0 b b
b 0 b 0 0 b
b 0 a 0 0 b
b b b 0 b 0
b b a 0 b 0
0 a 0 0 a a
0 a c 0 a a
0 c 0 0 c c
0 c c 0 c c
b a b 0 a c
b a a 0 a c
b c b 0 c a
b c a 0 c a
a 0 a 0 0 a
a 0 b 0 0 a
a b a 0 b c
a b b 0 b c
c 0 c 0 0 c
c 0 0 0 0 c
c b c 0 b a
c b 0 0 b a
a a a 0 a 0
a a b 0 a 0
a c a 0 c b
a c b 0 c b
c a c 0 a b
c a 0 0 a b
c c c 0 c 0
c c 0 0 c 0

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 1x2 + 9x3 + 10x4 + 10x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_b)3 (X_c)1 + (X_0)3 (X_b)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)2 (X_b)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)3 (X_a)3 + (X_0)2 (X_a)3 (X_c)1 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0

Is it a nice code?: No

Generator Matrix-1114

a 0 a 0 0 a
0 a 0 0 a a
b 0 b 0 0 b
0 b 0 0 b b
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b 0 0 b b
0 b c 0 b a
b 0 b 0 0 b
b 0 a 0 0 a
b b b 0 b 0
b b a 0 b c
0 a 0 0 a a
0 a c 0 a b
0 c 0 0 c c
0 c c 0 c 0
b a b 0 a c
b a a 0 a 0
b c b 0 c a
b c a 0 c b
a 0 a 0 0 a
a 0 b 0 0 b
a b a 0 b c
a b b 0 b 0
c 0 c 0 0 c
c 0 0 0 0 0
c b c 0 b a
c b 0 0 b b
a a a 0 a 0
a a b 0 a c
a c a 0 c b
a c b 0 c a
c a c 0 a b
c a 0 0 a a
c c c 0 c 0
c c 0 0 c c

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 1x2 + 9x3 + 10x4 + 10x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_b)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)3 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)3 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0

Is it a nice code?: No

Generator Matrix-1115

a 0 a 0 0 a
0 a 0 0 a a
b 0 b 0 0 b
0 b 0 0 b b
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b 0 0 b b
0 b c 0 a b
b 0 b 0 0 b
b 0 a 0 c b
b b b 0 b 0
b b a 0 a 0
0 a 0 0 a a
0 a c 0 b a
0 c 0 0 c c
0 c c 0 0 c
b a b 0 a c
b a a 0 b c
b c b 0 c a
b c a 0 0 a
a 0 a 0 0 a
a 0 b 0 c a
a b a 0 b c
a b b 0 a c
c 0 c 0 0 c
c 0 0 0 c c
c b c 0 b a
c b 0 0 a a
a a a 0 a 0
a a b 0 b 0
a c a 0 c b
a c b 0 0 b
c a c 0 a b
c a 0 0 b b
c c c 0 c 0
c c 0 0 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 2x2 + 8x3 + 13x4 + 8x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0

Is it a nice code?: No

Generator Matrix-1116

a 0 a 0 0 a
0 a 0 0 a a
b 0 b 0 0 b
0 b 0 0 b b
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b 0 0 b b
0 b c 0 a a
b 0 b 0 0 b
b 0 a 0 c a
b b b 0 b 0
b b a 0 a c
0 a 0 0 a a
0 a c 0 b b
0 c 0 0 c c
0 c c 0 0 0
b a b 0 a c
b a a 0 b 0
b c b 0 c a
b c a 0 0 b
a 0 a 0 0 a
a 0 b 0 c b
a b a 0 b c
a b b 0 a 0
c 0 c 0 0 c
c 0 0 0 c 0
c b c 0 b a
c b 0 0 a b
a a a 0 a 0
a a b 0 b c
a c a 0 c b
a c b 0 0 a
c a c 0 a b
c a 0 0 b a
c c c 0 c 0
c c 0 0 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 2x2 + 8x3 + 13x4 + 8x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0

Is it a nice code?: No

Generator Matrix-1117

a 0 a 0 0 a
0 a 0 0 a a
b 0 b 0 0 b
0 b 0 0 b b
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b 0 0 b b
0 b c c b b
b 0 b 0 0 b
b 0 a c 0 b
b b b 0 b 0
b b a c b 0
0 a 0 0 a a
0 a c c a a
0 c 0 0 c c
0 c c c c c
b a b 0 a c
b a a c a c
b c b 0 c a
b c a c c a
a 0 a 0 0 a
a 0 b c 0 a
a b a 0 b c
a b b c b c
c 0 c 0 0 c
c 0 0 c 0 c
c b c 0 b a
c b 0 c b a
a a a 0 a 0
a a b c a 0
a c a 0 c b
a c b c c b
c a c 0 a b
c a 0 c a b
c c c 0 c 0
c c 0 c c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 7x3 + 6x4 + 13x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)3 (X_a)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0

Is it a nice code?: No

Generator Matrix-1118

a 0 a 0 0 a
0 a 0 0 a a
b 0 b 0 0 b
0 b 0 0 b b
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b 0 0 b b
0 b c c b a
b 0 b 0 0 b
b 0 a c 0 a
b b b 0 b 0
b b a c b c
0 a 0 0 a a
0 a c c a b
0 c 0 0 c c
0 c c c c 0
b a b 0 a c
b a a c a 0
b c b 0 c a
b c a c c b
a 0 a 0 0 a
a 0 b c 0 b
a b a 0 b c
a b b c b 0
c 0 c 0 0 c
c 0 0 c 0 0
c b c 0 b a
c b 0 c b b
a a a 0 a 0
a a b c a c
a c a 0 c b
a c b c c a
c a c 0 a b
c a 0 c a a
c c c 0 c 0
c c 0 c c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 7x3 + 6x4 + 13x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_b)4 + (X_a)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)4 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0

Is it a nice code?: No

Generator Matrix-1119

a 0 a 0 0 a
0 a 0 0 a a
b 0 b 0 0 b
0 b 0 0 b b
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b 0 0 b b
0 b c c a b
b 0 b 0 0 b
b 0 a c c b
b b b 0 b 0
b b a c a 0
0 a 0 0 a a
0 a c c b a
0 c 0 0 c c
0 c c c 0 c
b a b 0 a c
b a a c b c
b c b 0 c a
b c a c 0 a
a 0 a 0 0 a
a 0 b c c a
a b a 0 b c
a b b c a c
c 0 c 0 0 c
c 0 0 c c c
c b c 0 b a
c b 0 c a a
a a a 0 a 0
a a b c b 0
a c a 0 c b
a c b c 0 b
c a c 0 a b
c a 0 c b b
c c c 0 c 0
c c 0 c 0 0

dmin: 3
Weight Enumerator: 1x0 + 0x1 + 0x2 + 8x3 + 5x4 + 16x5 + 2x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0

Is it a nice code?: No

Generator Matrix-1120

a 0 a 0 0 a
0 a 0 0 a a
b 0 b 0 0 b
0 b 0 0 b b
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b 0 0 b b
0 b c c a a
b 0 b 0 0 b
b 0 a c c a
b b b 0 b 0
b b a c a c
0 a 0 0 a a
0 a c c b b
0 c 0 0 c c
0 c c c 0 0
b a b 0 a c
b a a c b 0
b c b 0 c a
b c a c 0 b
a 0 a 0 0 a
a 0 b c c b
a b a 0 b c
a b b c a 0
c 0 c 0 0 c
c 0 0 c c 0
c b c 0 b a
c b 0 c a b
a a a 0 a 0
a a b c b c
a c a 0 c b
a c b c 0 a
c a c 0 a b
c a 0 c b a
c c c 0 c 0
c c 0 c 0 c

dmin: 3
Weight Enumerator: 1x0 + 0x1 + 0x2 + 8x3 + 5x4 + 16x5 + 2x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)3 (X_b)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_b)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_b)4 + (X_a)2 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0

Is it a nice code?: No

Generator Matrix-1121

a 0 a 0 0 a
0 a 0 a 0 0
b 0 b 0 0 b
0 b 0 b 0 0
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b 0 b 0 0
0 b c b 0 0
b 0 b 0 0 b
b 0 a 0 0 b
b b b b 0 b
b b a b 0 b
0 a 0 a 0 0
0 a c a 0 0
0 c 0 c 0 0
0 c c c 0 0
b a b a 0 b
b a a a 0 b
b c b c 0 b
b c a c 0 b
a 0 a 0 0 a
a 0 b 0 0 a
a b a b 0 a
a b b b 0 a
c 0 c 0 0 c
c 0 0 0 0 c
c b c b 0 c
c b 0 b 0 c
a a a a 0 a
a a b a 0 a
a c a c 0 a
a c b c 0 a
c a c a 0 c
c a 0 a 0 c
c c c c 0 c
c c 0 c 0 c

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 4x2 + 8x3 + 3x4 + 15x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)4 (X_b)2 + (X_0)3 (X_b)2 (X_c)1 + (X_0)3 (X_b)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)1 (X_b)5 + (X_0)1 (X_a)1 (X_b)4 + (X_0)4 (X_a)2 + (X_0)3 (X_a)2 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)2 (X_b)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)5 + (X_0)1 (X_a)4 (X_b)1 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0

Is it a nice code?: No

Generator Matrix-1122

a 0 a 0 0 a
0 a 0 a 0 0
b 0 b 0 0 b
0 b 0 b 0 0
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b 0 b 0 0
0 b c b 0 c
b 0 b 0 0 b
b 0 a 0 0 a
b b b b 0 b
b b a b 0 a
0 a 0 a 0 0
0 a c a 0 c
0 c 0 c 0 0
0 c c c 0 c
b a b a 0 b
b a a a 0 a
b c b c 0 b
b c a c 0 a
a 0 a 0 0 a
a 0 b 0 0 b
a b a b 0 a
a b b b 0 b
c 0 c 0 0 c
c 0 0 0 0 0
c b c b 0 c
c b 0 b 0 0
a a a a 0 a
a a b a 0 b
a c a c 0 a
a c b c 0 b
c a c a 0 c
c a 0 a 0 0
c c c c 0 c
c c 0 c 0 0

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 4x2 + 8x3 + 3x4 + 15x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)3 (X_b)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)1 (X_b)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)4 (X_b)1 + (X_0)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)1 (X_b)4 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)1 (X_b)2 (X_c)3 + (X_0)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)3 (X_a)2 (X_c)1 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0

Is it a nice code?: No

Generator Matrix-1123

a 0 a 0 0 a
0 a 0 a 0 0
b 0 b 0 0 b
0 b 0 b 0 0
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b 0 b 0 0
0 b c b c 0
b 0 b 0 0 b
b 0 a 0 c b
b b b b 0 b
b b a b c b
0 a 0 a 0 0
0 a c a c 0
0 c 0 c 0 0
0 c c c c 0
b a b a 0 b
b a a a c b
b c b c 0 b
b c a c c b
a 0 a 0 0 a
a 0 b 0 c a
a b a b 0 a
a b b b c a
c 0 c 0 0 c
c 0 0 0 c c
c b c b 0 c
c b 0 b c c
a a a a 0 a
a a b a c a
a c a c 0 a
a c b c c a
c a c a 0 c
c a 0 a c c
c c c c 0 c
c c 0 c c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 4x3 + 5x4 + 12x5 + 6x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_b)5 + (X_a)1 (X_b)4 (X_c)1 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_a)2 (X_b)3 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_b)3 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_a)2 (X_b)3 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_b)2 (X_c)3 + (X_0)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)5 + (X_a)4 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)2 (X_c)3 + (X_0)1 (X_a)2 (X_c)3 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0

Is it a nice code?: No

Generator Matrix-1124

a 0 a 0 0 a
0 a 0 a 0 0
b 0 b 0 0 b
0 b 0 b 0 0
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b 0 b 0 0
0 b c b c c
b 0 b 0 0 b
b 0 a 0 c a
b b b b 0 b
b b a b c a
0 a 0 a 0 0
0 a c a c c
0 c 0 c 0 0
0 c c c c c
b a b a 0 b
b a a a c a
b c b c 0 b
b c a c c a
a 0 a 0 0 a
a 0 b 0 c b
a b a b 0 a
a b b b c b
c 0 c 0 0 c
c 0 0 0 c 0
c b c b 0 c
c b 0 b c 0
a a a a 0 a
a a b a c b
a c a c 0 a
a c b c c b
c a c a 0 c
c a 0 a c 0
c c c c 0 c
c c 0 c c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 4x3 + 5x4 + 12x5 + 6x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)4 (X_b)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_b)5 + (X_a)2 (X_b)3 (X_c)1 + (X_0)4 (X_a)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5 + (X_0)1 (X_a)2 (X_b)3 + (X_a)4 (X_b)1 (X_c)1 + (X_0)1 (X_b)3 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_a)1 (X_b)4 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)5 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)2 (X_c)3 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0

Is it a nice code?: No

Generator Matrix-1125

a 0 a 0 0 a
0 a 0 a 0 0
b 0 b 0 0 b
0 b 0 b 0 0
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b 0 b 0 0
0 b c a 0 0
b 0 b 0 0 b
b 0 a c 0 b
b b b b 0 b
b b a a 0 b
0 a 0 a 0 0
0 a c b 0 0
0 c 0 c 0 0
0 c c 0 0 0
b a b a 0 b
b a a b 0 b
b c b c 0 b
b c a 0 0 b
a 0 a 0 0 a
a 0 b c 0 a
a b a b 0 a
a b b a 0 a
c 0 c 0 0 c
c 0 0 c 0 c
c b c b 0 c
c b 0 a 0 c
a a a a 0 a
a a b b 0 a
a c a c 0 a
a c b 0 0 a
c a c a 0 c
c a 0 b 0 c
c c c c 0 c
c c 0 0 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 5x2 + 7x3 + 6x4 + 13x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_b)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_b)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)4 (X_a)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)3 (X_b)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)3 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0

Is it a nice code?: No

Generator Matrix-1126

a 0 a 0 0 a
0 a 0 a 0 0
b 0 b 0 0 b
0 b 0 b 0 0
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b 0 b 0 0
0 b c a 0 c
b 0 b 0 0 b
b 0 a c 0 a
b b b b 0 b
b b a a 0 a
0 a 0 a 0 0
0 a c b 0 c
0 c 0 c 0 0
0 c c 0 0 c
b a b a 0 b
b a a b 0 a
b c b c 0 b
b c a 0 0 a
a 0 a 0 0 a
a 0 b c 0 b
a b a b 0 a
a b b a 0 b
c 0 c 0 0 c
c 0 0 c 0 0
c b c b 0 c
c b 0 a 0 0
a a a a 0 a
a a b b 0 b
a c a c 0 a
a c b 0 0 b
c a c a 0 c
c a 0 b 0 0
c c c c 0 c
c c 0 0 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 5x2 + 7x3 + 6x4 + 13x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_b)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)2 (X_b)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_c)3 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0

Is it a nice code?: No

Generator Matrix-1127

a 0 a 0 0 a
0 a 0 a 0 0
b 0 b 0 0 b
0 b 0 b 0 0
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b 0 b 0 0
0 b c a c 0
b 0 b 0 0 b
b 0 a c c b
b b b b 0 b
b b a a c b
0 a 0 a 0 0
0 a c b c 0
0 c 0 c 0 0
0 c c 0 c 0
b a b a 0 b
b a a b c b
b c b c 0 b
b c a 0 c b
a 0 a 0 0 a
a 0 b c c a
a b a b 0 a
a b b a c a
c 0 c 0 0 c
c 0 0 c c c
c b c b 0 c
c b 0 a c c
a a a a 0 a
a a b b c a
a c a c 0 a
a c b 0 c a
c a c a 0 c
c a 0 b c c
c c c c 0 c
c c 0 0 c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 5x3 + 4x4 + 15x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_b)5 + (X_a)2 (X_b)3 (X_c)1 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)3 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_b)2 + (X_a)3 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)5 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0

Is it a nice code?: No

Generator Matrix-1128

a 0 a 0 0 a
0 a 0 a 0 0
b 0 b 0 0 b
0 b 0 b 0 0
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b 0 b 0 0
0 b c a c c
b 0 b 0 0 b
b 0 a c c a
b b b b 0 b
b b a a c a
0 a 0 a 0 0
0 a c b c c
0 c 0 c 0 0
0 c c 0 c c
b a b a 0 b
b a a b c a
b c b c 0 b
b c a 0 c a
a 0 a 0 0 a
a 0 b c c b
a b a b 0 a
a b b a c b
c 0 c 0 0 c
c 0 0 c c 0
c b c b 0 c
c b 0 a c 0
a a a a 0 a
a a b b c b
a c a c 0 a
a c b 0 c b
c a c a 0 c
c a 0 b c 0
c c c c 0 c
c c 0 0 c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 5x3 + 4x4 + 15x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)4 (X_b)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_b)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_b)5 + (X_a)3 (X_b)2 (X_c)1 + (X_0)4 (X_a)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_a)2 (X_b)3 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)3 (X_b)2 + (X_a)2 (X_b)3 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)5 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0

Is it a nice code?: No

Generator Matrix-1129

a 0 a 0 0 a
0 a 0 a 0 a
b 0 b 0 0 b
0 b 0 b 0 b
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b 0 b 0 b
0 b c b 0 b
b 0 b 0 0 b
b 0 a 0 0 b
b b b b 0 0
b b a b 0 0
0 a 0 a 0 a
0 a c a 0 a
0 c 0 c 0 c
0 c c c 0 c
b a b a 0 c
b a a a 0 c
b c b c 0 a
b c a c 0 a
a 0 a 0 0 a
a 0 b 0 0 a
a b a b 0 c
a b b b 0 c
c 0 c 0 0 c
c 0 0 0 0 c
c b c b 0 a
c b 0 b 0 a
a a a a 0 0
a a b a 0 0
a c a c 0 b
a c b c 0 b
c a c a 0 b
c a 0 a 0 b
c c c c 0 0
c c 0 c 0 0

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 1x2 + 9x3 + 10x4 + 10x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_b)3 (X_c)1 + (X_0)3 (X_b)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)2 (X_b)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)3 (X_a)3 + (X_0)2 (X_a)3 (X_c)1 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0

Is it a nice code?: No

Generator Matrix-1130

a 0 a 0 0 a
0 a 0 a 0 a
b 0 b 0 0 b
0 b 0 b 0 b
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b 0 b 0 b
0 b c b 0 a
b 0 b 0 0 b
b 0 a 0 0 a
b b b b 0 0
b b a b 0 c
0 a 0 a 0 a
0 a c a 0 b
0 c 0 c 0 c
0 c c c 0 0
b a b a 0 c
b a a a 0 0
b c b c 0 a
b c a c 0 b
a 0 a 0 0 a
a 0 b 0 0 b
a b a b 0 c
a b b b 0 0
c 0 c 0 0 c
c 0 0 0 0 0
c b c b 0 a
c b 0 b 0 b
a a a a 0 0
a a b a 0 c
a c a c 0 b
a c b c 0 a
c a c a 0 b
c a 0 a 0 a
c c c c 0 0
c c 0 c 0 c

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 1x2 + 9x3 + 10x4 + 10x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_b)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)3 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)3 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0

Is it a nice code?: No

Generator Matrix-1131

a 0 a 0 0 a
0 a 0 a 0 a
b 0 b 0 0 b
0 b 0 b 0 b
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b 0 b 0 b
0 b c b c b
b 0 b 0 0 b
b 0 a 0 c b
b b b b 0 0
b b a b c 0
0 a 0 a 0 a
0 a c a c a
0 c 0 c 0 c
0 c c c c c
b a b a 0 c
b a a a c c
b c b c 0 a
b c a c c a
a 0 a 0 0 a
a 0 b 0 c a
a b a b 0 c
a b b b c c
c 0 c 0 0 c
c 0 0 0 c c
c b c b 0 a
c b 0 b c a
a a a a 0 0
a a b a c 0
a c a c 0 b
a c b c c b
c a c a 0 b
c a 0 a c b
c c c c 0 0
c c 0 c c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 7x3 + 6x4 + 13x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)3 (X_a)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0

Is it a nice code?: No

Generator Matrix-1132

a 0 a 0 0 a
0 a 0 a 0 a
b 0 b 0 0 b
0 b 0 b 0 b
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b 0 b 0 b
0 b c b c a
b 0 b 0 0 b
b 0 a 0 c a
b b b b 0 0
b b a b c c
0 a 0 a 0 a
0 a c a c b
0 c 0 c 0 c
0 c c c c 0
b a b a 0 c
b a a a c 0
b c b c 0 a
b c a c c b
a 0 a 0 0 a
a 0 b 0 c b
a b a b 0 c
a b b b c 0
c 0 c 0 0 c
c 0 0 0 c 0
c b c b 0 a
c b 0 b c b
a a a a 0 0
a a b a c c
a c a c 0 b
a c b c c a
c a c a 0 b
c a 0 a c a
c c c c 0 0
c c 0 c c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 7x3 + 6x4 + 13x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_b)4 + (X_a)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)4 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0

Is it a nice code?: No

Generator Matrix-1133

a 0 a 0 0 a
0 a 0 a 0 a
b 0 b 0 0 b
0 b 0 b 0 b
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b 0 b 0 b
0 b c a 0 b
b 0 b 0 0 b
b 0 a c 0 b
b b b b 0 0
b b a a 0 0
0 a 0 a 0 a
0 a c b 0 a
0 c 0 c 0 c
0 c c 0 0 c
b a b a 0 c
b a a b 0 c
b c b c 0 a
b c a 0 0 a
a 0 a 0 0 a
a 0 b c 0 a
a b a b 0 c
a b b a 0 c
c 0 c 0 0 c
c 0 0 c 0 c
c b c b 0 a
c b 0 a 0 a
a a a a 0 0
a a b b 0 0
a c a c 0 b
a c b 0 0 b
c a c a 0 b
c a 0 b 0 b
c c c c 0 0
c c 0 0 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 2x2 + 8x3 + 13x4 + 8x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0

Is it a nice code?: No

Generator Matrix-1134

a 0 a 0 0 a
0 a 0 a 0 a
b 0 b 0 0 b
0 b 0 b 0 b
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b 0 b 0 b
0 b c a 0 a
b 0 b 0 0 b
b 0 a c 0 a
b b b b 0 0
b b a a 0 c
0 a 0 a 0 a
0 a c b 0 b
0 c 0 c 0 c
0 c c 0 0 0
b a b a 0 c
b a a b 0 0
b c b c 0 a
b c a 0 0 b
a 0 a 0 0 a
a 0 b c 0 b
a b a b 0 c
a b b a 0 0
c 0 c 0 0 c
c 0 0 c 0 0
c b c b 0 a
c b 0 a 0 b
a a a a 0 0
a a b b 0 c
a c a c 0 b
a c b 0 0 a
c a c a 0 b
c a 0 b 0 a
c c c c 0 0
c c 0 0 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 2x2 + 8x3 + 13x4 + 8x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0

Is it a nice code?: No

Generator Matrix-1135

a 0 a 0 0 a
0 a 0 a 0 a
b 0 b 0 0 b
0 b 0 b 0 b
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b 0 b 0 b
0 b c a c b
b 0 b 0 0 b
b 0 a c c b
b b b b 0 0
b b a a c 0
0 a 0 a 0 a
0 a c b c a
0 c 0 c 0 c
0 c c 0 c c
b a b a 0 c
b a a b c c
b c b c 0 a
b c a 0 c a
a 0 a 0 0 a
a 0 b c c a
a b a b 0 c
a b b a c c
c 0 c 0 0 c
c 0 0 c c c
c b c b 0 a
c b 0 a c a
a a a a 0 0
a a b b c 0
a c a c 0 b
a c b 0 c b
c a c a 0 b
c a 0 b c b
c c c c 0 0
c c 0 0 c 0

dmin: 3
Weight Enumerator: 1x0 + 0x1 + 0x2 + 8x3 + 5x4 + 16x5 + 2x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0

Is it a nice code?: No

Generator Matrix-1136

a 0 a 0 0 a
0 a 0 a 0 a
b 0 b 0 0 b
0 b 0 b 0 b
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b 0 b 0 b
0 b c a c a
b 0 b 0 0 b
b 0 a c c a
b b b b 0 0
b b a a c c
0 a 0 a 0 a
0 a c b c b
0 c 0 c 0 c
0 c c 0 c 0
b a b a 0 c
b a a b c 0
b c b c 0 a
b c a 0 c b
a 0 a 0 0 a
a 0 b c c b
a b a b 0 c
a b b a c 0
c 0 c 0 0 c
c 0 0 c c 0
c b c b 0 a
c b 0 a c b
a a a a 0 0
a a b b c c
a c a c 0 b
a c b 0 c a
c a c a 0 b
c a 0 b c a
c c c c 0 0
c c 0 0 c c

dmin: 3
Weight Enumerator: 1x0 + 0x1 + 0x2 + 8x3 + 5x4 + 16x5 + 2x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)3 (X_b)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_b)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_b)4 + (X_a)2 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0

Is it a nice code?: No

Generator Matrix-1137

a 0 a 0 0 a
0 a 0 a a 0
b 0 b 0 0 b
0 b 0 b b 0
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b 0 b b 0
0 b c b b 0
b 0 b 0 0 b
b 0 a 0 0 b
b b b b b b
b b a b b b
0 a 0 a a 0
0 a c a a 0
0 c 0 c c 0
0 c c c c 0
b a b a a b
b a a a a b
b c b c c b
b c a c c b
a 0 a 0 0 a
a 0 b 0 0 a
a b a b b a
a b b b b a
c 0 c 0 0 c
c 0 0 0 0 c
c b c b b c
c b 0 b b c
a a a a a a
a a b a a a
a c a c c a
a c b c c a
c a c a a c
c a 0 a a c
c c c c c c
c c 0 c c c

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 1x2 + 8x3 + 3x4 + 3x5 + 15x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_b)3 (X_c)1 + (X_0)3 (X_b)3 + (X_0)3 (X_a)1 (X_b)2 + (X_b)6 + (X_a)1 (X_b)5 + (X_0)3 (X_a)3 + (X_0)2 (X_a)3 (X_c)1 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_a)3 (X_b)3 + (X_a)4 (X_b)2 + (X_b)3 (X_c)3 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)3 + (X_0)3 (X_a)2 (X_b)1 + (X_a)3 (X_b)3 + (X_a)2 (X_b)4 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_b)3 (X_c)3 + (X_0)1 (X_b)3 (X_c)2 + (X_a)6 + (X_a)5 (X_b)1 + (X_a)3 (X_c)3 + (X_a)2 (X_b)1 (X_c)3 + (X_a)3 (X_c)3 + (X_0)1 (X_a)3 (X_c)2 + (X_c)6 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1138

a 0 a 0 0 a
0 a 0 a a 0
b 0 b 0 0 b
0 b 0 b b 0
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b 0 b b 0
0 b c b b c
b 0 b 0 0 b
b 0 a 0 0 a
b b b b b b
b b a b b a
0 a 0 a a 0
0 a c a a c
0 c 0 c c 0
0 c c c c c
b a b a a b
b a a a a a
b c b c c b
b c a c c a
a 0 a 0 0 a
a 0 b 0 0 b
a b a b b a
a b b b b b
c 0 c 0 0 c
c 0 0 0 0 0
c b c b b c
c b 0 b b 0
a a a a a a
a a b a a b
a c a c c a
a c b c c b
c a c a a c
c a 0 a a 0
c c c c c c
c c 0 c c 0

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 1x2 + 8x3 + 3x4 + 3x5 + 15x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)3 (X_b)3 + (X_0)3 (X_a)2 (X_b)1 + (X_b)6 + (X_a)2 (X_b)4 + (X_0)3 (X_a)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_a)3 (X_b)3 + (X_a)5 (X_b)1 + (X_b)3 (X_c)3 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_a)3 + (X_0)3 (X_a)1 (X_b)2 + (X_a)3 (X_b)3 + (X_a)1 (X_b)5 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_b)3 (X_c)3 + (X_0)2 (X_b)3 (X_c)1 + (X_a)6 + (X_a)4 (X_b)2 + (X_a)3 (X_c)3 + (X_a)1 (X_b)2 (X_c)3 + (X_a)3 (X_c)3 + (X_0)2 (X_a)3 (X_c)1 + (X_c)6 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1139

a 0 a 0 0 a
0 a 0 a a 0
b 0 b 0 0 b
0 b 0 b b 0
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b 0 b b 0
0 b c b a 0
b 0 b 0 0 b
b 0 a 0 c b
b b b b b b
b b a b a b
0 a 0 a a 0
0 a c a b 0
0 c 0 c c 0
0 c c c 0 0
b a b a a b
b a a a b b
b c b c c b
b c a c 0 b
a 0 a 0 0 a
a 0 b 0 c a
a b a b b a
a b b b a a
c 0 c 0 0 c
c 0 0 0 c c
c b c b b c
c b 0 b a c
a a a a a a
a a b a b a
a c a c c a
a c b c 0 a
c a c a a c
c a 0 a b c
c c c c c c
c c 0 c 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 8x3 + 5x4 + 4x5 + 13x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_b)6 + (X_a)2 (X_b)4 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_a)3 (X_b)3 + (X_a)3 (X_b)3 + (X_b)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)3 (X_b)3 + (X_a)3 (X_b)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_b)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)6 + (X_a)4 (X_b)2 + (X_a)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_c)6 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1140

a 0 a 0 0 a
0 a 0 a a 0
b 0 b 0 0 b
0 b 0 b b 0
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b 0 b b 0
0 b c b a c
b 0 b 0 0 b
b 0 a 0 c a
b b b b b b
b b a b a a
0 a 0 a a 0
0 a c a b c
0 c 0 c c 0
0 c c c 0 c
b a b a a b
b a a a b a
b c b c c b
b c a c 0 a
a 0 a 0 0 a
a 0 b 0 c b
a b a b b a
a b b b a b
c 0 c 0 0 c
c 0 0 0 c 0
c b c b b c
c b 0 b a 0
a a a a a a
a a b a b b
a c a c c a
a c b c 0 b
c a c a a c
c a 0 a b 0
c c c c c c
c c 0 c 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 8x3 + 5x4 + 4x5 + 13x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_b)6 + (X_a)3 (X_b)3 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_a)3 (X_b)3 + (X_a)4 (X_b)2 + (X_b)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)3 (X_b)3 + (X_a)2 (X_b)4 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_b)3 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)6 + (X_a)3 (X_b)3 + (X_a)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)3 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_c)6 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1141

a 0 a 0 0 a
0 a 0 a a 0
b 0 b 0 0 b
0 b 0 b b 0
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b 0 b b 0
0 b c a b 0
b 0 b 0 0 b
b 0 a c 0 b
b b b b b b
b b a a b b
0 a 0 a a 0
0 a c b a 0
0 c 0 c c 0
0 c c 0 c 0
b a b a a b
b a a b a b
b c b c c b
b c a 0 c b
a 0 a 0 0 a
a 0 b c 0 a
a b a b b a
a b b a b a
c 0 c 0 0 c
c 0 0 c 0 c
c b c b b c
c b 0 a b c
a a a a a a
a a b b a a
a c a c c a
a c b 0 c a
c a c a a c
c a 0 b a c
c c c c c c
c c 0 0 c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 8x3 + 5x4 + 4x5 + 13x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_b)6 + (X_a)2 (X_b)4 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_a)3 (X_b)3 + (X_a)3 (X_b)3 + (X_b)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)3 (X_b)3 + (X_a)3 (X_b)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_b)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)6 + (X_a)4 (X_b)2 + (X_a)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_c)6 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1142

a 0 a 0 0 a
0 a 0 a a 0
b 0 b 0 0 b
0 b 0 b b 0
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b 0 b b 0
0 b c a b c
b 0 b 0 0 b
b 0 a c 0 a
b b b b b b
b b a a b a
0 a 0 a a 0
0 a c b a c
0 c 0 c c 0
0 c c 0 c c
b a b a a b
b a a b a a
b c b c c b
b c a 0 c a
a 0 a 0 0 a
a 0 b c 0 b
a b a b b a
a b b a b b
c 0 c 0 0 c
c 0 0 c 0 0
c b c b b c
c b 0 a b 0
a a a a a a
a a b b a b
a c a c c a
a c b 0 c b
c a c a a c
c a 0 b a 0
c c c c c c
c c 0 0 c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 8x3 + 5x4 + 4x5 + 13x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_b)6 + (X_a)3 (X_b)3 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_a)3 (X_b)3 + (X_a)4 (X_b)2 + (X_b)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)3 (X_b)3 + (X_a)2 (X_b)4 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_b)3 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)6 + (X_a)3 (X_b)3 + (X_a)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)3 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_c)6 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1143

a 0 a 0 0 a
0 a 0 a a 0
b 0 b 0 0 b
0 b 0 b b 0
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b 0 b b 0
0 b c a a 0
b 0 b 0 0 b
b 0 a c c b
b b b b b b
b b a a a b
0 a 0 a a 0
0 a c b b 0
0 c 0 c c 0
0 c c 0 0 0
b a b a a b
b a a b b b
b c b c c b
b c a 0 0 b
a 0 a 0 0 a
a 0 b c c a
a b a b b a
a b b a a a
c 0 c 0 0 c
c 0 0 c c c
c b c b b c
c b 0 a a c
a a a a a a
a a b b b a
a c a c c a
a c b 0 0 a
c a c a a c
c a 0 b b c
c c c c c c
c c 0 0 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 8x3 + 5x4 + 4x5 + 13x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_b)6 + (X_a)3 (X_b)3 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_a)3 (X_b)3 + (X_a)2 (X_b)4 + (X_b)3 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)3 (X_b)3 + (X_a)4 (X_b)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_b)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)6 + (X_a)3 (X_b)3 + (X_a)3 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_c)6 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1144

a 0 a 0 0 a
0 a 0 a a 0
b 0 b 0 0 b
0 b 0 b b 0
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b 0 b b 0
0 b c a a c
b 0 b 0 0 b
b 0 a c c a
b b b b b b
b b a a a a
0 a 0 a a 0
0 a c b b c
0 c 0 c c 0
0 c c 0 0 c
b a b a a b
b a a b b a
b c b c c b
b c a 0 0 a
a 0 a 0 0 a
a 0 b c c b
a b a b b a
a b b a a b
c 0 c 0 0 c
c 0 0 c c 0
c b c b b c
c b 0 a a 0
a a a a a a
a a b b b b
a c a c c a
a c b 0 0 b
c a c a a c
c a 0 b b 0
c c c c c c
c c 0 0 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 8x3 + 5x4 + 4x5 + 13x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)3 (X_b)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_b)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_b)6 + (X_a)4 (X_b)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_a)3 (X_b)3 + (X_a)3 (X_b)3 + (X_b)3 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_a)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)3 (X_b)3 + (X_a)3 (X_b)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_b)3 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)6 + (X_a)2 (X_b)4 + (X_a)3 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)3 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_c)6 + (X_0)4 (X_c)2

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1145

a 0 a 0 0 a
0 a 0 a a a
b 0 b 0 0 b
0 b 0 b b b
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b 0 b b b
0 b c b b b
b 0 b 0 0 b
b 0 a 0 0 b
b b b b b 0
b b a b b 0
0 a 0 a a a
0 a c a a a
0 c 0 c c c
0 c c c c c
b a b a a c
b a a a a c
b c b c c a
b c a c c a
a 0 a 0 0 a
a 0 b 0 0 a
a b a b b c
a b b b b c
c 0 c 0 0 c
c 0 0 0 0 c
c b c b b a
c b 0 b b a
a a a a a 0
a a b a a 0
a c a c c b
a c b c c b
c a c a a b
c a 0 a a b
c c c c c 0
c c 0 c c 0

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 1x2 + 5x3 + 4x4 + 10x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_b)4 (X_c)1 + (X_0)3 (X_b)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)1 (X_b)5 + (X_0)1 (X_a)1 (X_b)4 + (X_0)2 (X_a)4 + (X_0)1 (X_a)4 (X_c)1 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_a)3 (X_b)2 (X_c)1 + (X_a)4 (X_b)1 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_a)3 + (X_0)3 (X_a)2 (X_b)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)1 (X_b)4 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)4 (X_b)1 + (X_a)2 (X_b)1 (X_c)3 + (X_a)1 (X_b)2 (X_c)3 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1146

a 0 a 0 0 a
0 a 0 a a a
b 0 b 0 0 b
0 b 0 b b b
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b 0 b b b
0 b c b b a
b 0 b 0 0 b
b 0 a 0 0 a
b b b b b 0
b b a b b c
0 a 0 a a a
0 a c a a b
0 c 0 c c c
0 c c c c 0
b a b a a c
b a a a a 0
b c b c c a
b c a c c b
a 0 a 0 0 a
a 0 b 0 0 b
a b a b b c
a b b b b 0
c 0 c 0 0 c
c 0 0 0 0 0
c b c b b a
c b 0 b b b
a a a a a 0
a a b a a c
a c a c c b
a c b c c a
c a c a a b
c a 0 a a a
c c c c c 0
c c 0 c c c

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 1x2 + 5x3 + 4x4 + 10x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)3 (X_b)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)1 (X_b)5 + (X_a)1 (X_b)4 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)4 (X_b)1 + (X_a)1 (X_b)2 (X_c)3 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)3 + (X_0)3 (X_a)1 (X_b)2 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)4 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_b)4 (X_c)1 + (X_0)1 (X_a)5 + (X_a)4 (X_b)1 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_a)2 (X_b)1 (X_c)3 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)4 (X_c)1 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1147

a 0 a 0 0 a
0 a 0 a a a
b 0 b 0 0 b
0 b 0 b b b
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b 0 b b b
0 b c b a b
b 0 b 0 0 b
b 0 a 0 c b
b b b b b 0
b b a b a 0
0 a 0 a a a
0 a c a b a
0 c 0 c c c
0 c c c 0 c
b a b a a c
b a a a b c
b c b c c a
b c a c 0 a
a 0 a 0 0 a
a 0 b 0 c a
a b a b b c
a b b b a c
c 0 c 0 0 c
c 0 0 0 c c
c b c b b a
c b 0 b a a
a a a a a 0
a a b a b 0
a c a c c b
a c b c 0 b
c a c a a b
c a 0 a b b
c c c c c 0
c c 0 c 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 5x3 + 6x4 + 11x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_b)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_a)3 (X_b)2 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)3 (X_b)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1148

a 0 a 0 0 a
0 a 0 a a a
b 0 b 0 0 b
0 b 0 b b b
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b 0 b b b
0 b c b a a
b 0 b 0 0 b
b 0 a 0 c a
b b b b b 0
b b a b a c
0 a 0 a a a
0 a c a b b
0 c 0 c c c
0 c c c 0 0
b a b a a c
b a a a b 0
b c b c c a
b c a c 0 b
a 0 a 0 0 a
a 0 b 0 c b
a b a b b c
a b b b a 0
c 0 c 0 0 c
c 0 0 0 c 0
c b c b b a
c b 0 b a b
a a a a a 0
a a b a b c
a c a c c b
a c b c 0 a
c a c a a b
c a 0 a b a
c c c c c 0
c c 0 c 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 5x3 + 6x4 + 11x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_b)5 + (X_a)2 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)5 + (X_a)3 (X_b)2 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1149

a 0 a 0 0 a
0 a 0 a a a
b 0 b 0 0 b
0 b 0 b b b
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b 0 b b b
0 b c a b b
b 0 b 0 0 b
b 0 a c 0 b
b b b b b 0
b b a a b 0
0 a 0 a a a
0 a c b a a
0 c 0 c c c
0 c c 0 c c
b a b a a c
b a a b a c
b c b c c a
b c a 0 c a
a 0 a 0 0 a
a 0 b c 0 a
a b a b b c
a b b a b c
c 0 c 0 0 c
c 0 0 c 0 c
c b c b b a
c b 0 a b a
a a a a a 0
a a b b a 0
a c a c c b
a c b 0 c b
c a c a a b
c a 0 b a b
c c c c c 0
c c 0 0 c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 5x3 + 6x4 + 11x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_b)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_a)3 (X_b)2 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)3 (X_b)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1150

a 0 a 0 0 a
0 a 0 a a a
b 0 b 0 0 b
0 b 0 b b b
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b 0 b b b
0 b c a b a
b 0 b 0 0 b
b 0 a c 0 a
b b b b b 0
b b a a b c
0 a 0 a a a
0 a c b a b
0 c 0 c c c
0 c c 0 c 0
b a b a a c
b a a b a 0
b c b c c a
b c a 0 c b
a 0 a 0 0 a
a 0 b c 0 b
a b a b b c
a b b a b 0
c 0 c 0 0 c
c 0 0 c 0 0
c b c b b a
c b 0 a b b
a a a a a 0
a a b b a c
a c a c c b
a c b 0 c a
c a c a a b
c a 0 b a a
c c c c c 0
c c 0 0 c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 5x3 + 6x4 + 11x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_b)5 + (X_a)2 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)5 + (X_a)3 (X_b)2 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1151

a 0 a 0 0 a
0 a 0 a a a
b 0 b 0 0 b
0 b 0 b b b
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b 0 b b b
0 b c a a b
b 0 b 0 0 b
b 0 a c c b
b b b b b 0
b b a a a 0
0 a 0 a a a
0 a c b b a
0 c 0 c c c
0 c c 0 0 c
b a b a a c
b a a b b c
b c b c c a
b c a 0 0 a
a 0 a 0 0 a
a 0 b c c a
a b a b b c
a b b a a c
c 0 c 0 0 c
c 0 0 c c c
c b c b b a
c b 0 a a a
a a a a a 0
a a b b b 0
a c a c c b
a c b 0 0 b
c a c a a b
c a 0 b b b
c c c c c 0
c c 0 0 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 5x3 + 6x4 + 11x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_b)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_a)3 (X_b)2 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)2 (X_b)3 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)2 (X_b)3 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1152

a 0 a 0 0 a
0 a 0 a a a
b 0 b 0 0 b
0 b 0 b b b
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b 0 b b b
0 b c a a a
b 0 b 0 0 b
b 0 a c c a
b b b b b 0
b b a a a c
0 a 0 a a a
0 a c b b b
0 c 0 c c c
0 c c 0 0 0
b a b a a c
b a a b b 0
b c b c c a
b c a 0 0 b
a 0 a 0 0 a
a 0 b c c b
a b a b b c
a b b a a 0
c 0 c 0 0 c
c 0 0 c c 0
c b c b b a
c b 0 a a b
a a a a a 0
a a b b b c
a c a c c b
a c b 0 0 a
c a c a a b
c a 0 b b a
c c c c c 0
c c 0 0 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 5x3 + 6x4 + 11x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)2 (X_b)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)3 (X_b)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_b)5 + (X_a)3 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)5 + (X_a)2 (X_b)3 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1153

a 0 a 0 a 0
0 a 0 0 0 0
b 0 b 0 b 0
0 b 0 0 0 0
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b 0 0 0 0
0 b c 0 0 0
b 0 b 0 b 0
b 0 a 0 b 0
b b b 0 b 0
b b a 0 b 0
0 a 0 0 0 0
0 a c 0 0 0
0 c 0 0 0 0
0 c c 0 0 0
b a b 0 b 0
b a a 0 b 0
b c b 0 b 0
b c a 0 b 0
a 0 a 0 a 0
a 0 b 0 a 0
a b a 0 a 0
a b b 0 a 0
c 0 c 0 c 0
c 0 0 0 c 0
c b c 0 c 0
c b 0 0 c 0
a a a 0 a 0
a a b 0 a 0
a c a 0 a 0
a c b 0 a 0
c a c 0 c 0
c a 0 0 c 0
c c c 0 c 0
c c 0 0 c 0

dmin: 1
Weight Enumerator: 1x0 + 4x1 + 4x2 + 8x3 + 15x4 + 0x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)5 (X_b)1 + (X_0)4 (X_b)1 (X_c)1 + (X_0)3 (X_b)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)2 (X_b)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)5 (X_a)1 + (X_0)4 (X_a)1 (X_c)1 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)2 (X_a)1 (X_b)3 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_b)3 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)2 (X_a)3 (X_b)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_b)1 (X_c)3 + (X_0)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)2 (X_a)3 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_c)3 + (X_0)3 (X_a)1 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c

Is it a nice code?: No

Generator Matrix-1154

a 0 a 0 a 0
0 a 0 0 0 0
b 0 b 0 b 0
0 b 0 0 0 0
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b 0 0 0 0
0 b c 0 0 c
b 0 b 0 b 0
b 0 a 0 b c
b b b 0 b 0
b b a 0 b c
0 a 0 0 0 0
0 a c 0 0 c
0 c 0 0 0 0
0 c c 0 0 c
b a b 0 b 0
b a a 0 b c
b c b 0 b 0
b c a 0 b c
a 0 a 0 a 0
a 0 b 0 a c
a b a 0 a 0
a b b 0 a c
c 0 c 0 c 0
c 0 0 0 c c
c b c 0 c 0
c b 0 0 c c
a a a 0 a 0
a a b 0 a c
a c a 0 a 0
a c b 0 a c
c a c 0 c 0
c a 0 0 c c
c c c 0 c 0
c c 0 0 c c

dmin: 1
Weight Enumerator: 1x0 + 3x1 + 1x2 + 7x3 + 14x4 + 6x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)5 (X_b)1 + (X_0)3 (X_b)1 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)5 (X_a)1 + (X_0)3 (X_a)1 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_b)1 (X_c)3 + (X_0)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_c)3 + (X_0)2 (X_a)1 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c

Is it a nice code?: No

Generator Matrix-1155

a 0 a 0 a 0
0 a 0 0 0 0
b 0 b 0 b 0
0 b 0 0 0 0
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b 0 0 0 0
0 b c 0 c 0
b 0 b 0 b 0
b 0 a 0 a 0
b b b 0 b 0
b b a 0 a 0
0 a 0 0 0 0
0 a c 0 c 0
0 c 0 0 0 0
0 c c 0 c 0
b a b 0 b 0
b a a 0 a 0
b c b 0 b 0
b c a 0 a 0
a 0 a 0 a 0
a 0 b 0 b 0
a b a 0 a 0
a b b 0 b 0
c 0 c 0 c 0
c 0 0 0 0 0
c b c 0 c 0
c b 0 0 0 0
a a a 0 a 0
a a b 0 b 0
a c a 0 a 0
a c b 0 b 0
c a c 0 c 0
c a 0 0 0 0
c c c 0 c 0
c c 0 0 0 0

dmin: 1
Weight Enumerator: 1x0 + 4x1 + 4x2 + 8x3 + 15x4 + 0x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)5 (X_b)1 + (X_0)3 (X_b)1 (X_c)2 + (X_0)3 (X_b)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)5 (X_a)1 + (X_0)3 (X_a)1 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)2 (X_a)1 (X_b)3 + (X_0)2 (X_a)3 (X_b)1 + (X_0)2 (X_b)3 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_a)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)2 (X_a)3 (X_b)1 + (X_0)2 (X_a)1 (X_b)3 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)2 (X_b)1 (X_c)3 + (X_0)4 (X_b)1 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_a)3 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_c)3 + (X_0)4 (X_a)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c

Is it a nice code?: No

Generator Matrix-1156

a 0 a 0 a 0
0 a 0 0 0 0
b 0 b 0 b 0
0 b 0 0 0 0
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b 0 0 0 0
0 b c 0 c c
b 0 b 0 b 0
b 0 a 0 a c
b b b 0 b 0
b b a 0 a c
0 a 0 0 0 0
0 a c 0 c c
0 c 0 0 0 0
0 c c 0 c c
b a b 0 b 0
b a a 0 a c
b c b 0 b 0
b c a 0 a c
a 0 a 0 a 0
a 0 b 0 b c
a b a 0 a 0
a b b 0 b c
c 0 c 0 c 0
c 0 0 0 0 c
c b c 0 c 0
c b 0 0 0 c
a a a 0 a 0
a a b 0 b c
a c a 0 a 0
a c b 0 b c
c a c 0 c 0
c a 0 0 0 c
c c c 0 c 0
c c 0 0 0 c

dmin: 1
Weight Enumerator: 1x0 + 3x1 + 1x2 + 7x3 + 14x4 + 6x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)5 (X_b)1 + (X_0)2 (X_b)1 (X_c)3 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)5 (X_a)1 + (X_0)2 (X_a)1 (X_c)3 + (X_0)5 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_b)1 (X_c)3 + (X_0)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_c)3 + (X_0)3 (X_a)1 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c

Is it a nice code?: No

Generator Matrix-1157

a 0 a 0 a 0
0 a 0 0 0 0
b 0 b 0 b 0
0 b 0 0 0 0
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b 0 0 0 0
0 b c c 0 0
b 0 b 0 b 0
b 0 a c b 0
b b b 0 b 0
b b a c b 0
0 a 0 0 0 0
0 a c c 0 0
0 c 0 0 0 0
0 c c c 0 0
b a b 0 b 0
b a a c b 0
b c b 0 b 0
b c a c b 0
a 0 a 0 a 0
a 0 b c a 0
a b a 0 a 0
a b b c a 0
c 0 c 0 c 0
c 0 0 c c 0
c b c 0 c 0
c b 0 c c 0
a a a 0 a 0
a a b c a 0
a c a 0 a 0
a c b c a 0
c a c 0 c 0
c a 0 c c 0
c c c 0 c 0
c c 0 c c 0

dmin: 1
Weight Enumerator: 1x0 + 3x1 + 1x2 + 7x3 + 14x4 + 6x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)5 (X_b)1 + (X_0)3 (X_b)1 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)5 (X_a)1 + (X_0)3 (X_a)1 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_b)1 (X_c)3 + (X_0)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_c)3 + (X_0)2 (X_a)1 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c

Is it a nice code?: No

Generator Matrix-1158

a 0 a 0 a 0
0 a 0 0 0 0
b 0 b 0 b 0
0 b 0 0 0 0
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b 0 0 0 0
0 b c c 0 c
b 0 b 0 b 0
b 0 a c b c
b b b 0 b 0
b b a c b c
0 a 0 0 0 0
0 a c c 0 c
0 c 0 0 0 0
0 c c c 0 c
b a b 0 b 0
b a a c b c
b c b 0 b 0
b c a c b c
a 0 a 0 a 0
a 0 b c a c
a b a 0 a 0
a b b c a c
c 0 c 0 c 0
c 0 0 c c c
c b c 0 c 0
c b 0 c c c
a a a 0 a 0
a a b c a c
a c a 0 a 0
a c b c a c
c a c 0 c 0
c a 0 c c c
c c c 0 c 0
c c 0 c c c

dmin: 1
Weight Enumerator: 1x0 + 3x1 + 0x2 + 4x3 + 13x4 + 5x5 + 6x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)5 (X_b)1 + (X_0)2 (X_b)1 (X_c)3 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_b)4 + (X_a)1 (X_b)3 (X_c)2 + (X_0)5 (X_a)1 + (X_0)2 (X_a)1 (X_c)3 + (X_0)5 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_a)1 (X_b)3 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_b)3 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)3 (X_b)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_b)1 (X_c)3 + (X_0)1 (X_b)1 (X_c)4 + (X_0)2 (X_a)4 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)3 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_c)3 + (X_0)1 (X_a)1 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c

Is it a nice code?: No

Generator Matrix-1159

a 0 a 0 a 0
0 a 0 0 0 0
b 0 b 0 b 0
0 b 0 0 0 0
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b 0 0 0 0
0 b c c c 0
b 0 b 0 b 0
b 0 a c a 0
b b b 0 b 0
b b a c a 0
0 a 0 0 0 0
0 a c c c 0
0 c 0 0 0 0
0 c c c c 0
b a b 0 b 0
b a a c a 0
b c b 0 b 0
b c a c a 0
a 0 a 0 a 0
a 0 b c b 0
a b a 0 a 0
a b b c b 0
c 0 c 0 c 0
c 0 0 c 0 0
c b c 0 c 0
c b 0 c 0 0
a a a 0 a 0
a a b c b 0
a c a 0 a 0
a c b c b 0
c a c 0 c 0
c a 0 c 0 0
c c c 0 c 0
c c 0 c 0 0

dmin: 1
Weight Enumerator: 1x0 + 3x1 + 1x2 + 7x3 + 14x4 + 6x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)5 (X_b)1 + (X_0)2 (X_b)1 (X_c)3 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)5 (X_a)1 + (X_0)2 (X_a)1 (X_c)3 + (X_0)5 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_b)1 (X_c)3 + (X_0)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_c)3 + (X_0)3 (X_a)1 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c

Is it a nice code?: No

Generator Matrix-1160

a 0 a 0 a 0
0 a 0 0 0 0
b 0 b 0 b 0
0 b 0 0 0 0
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b 0 0 0 0
0 b c c c c
b 0 b 0 b 0
b 0 a c a c
b b b 0 b 0
b b a c a c
0 a 0 0 0 0
0 a c c c c
0 c 0 0 0 0
0 c c c c c
b a b 0 b 0
b a a c a c
b c b 0 b 0
b c a c a c
a 0 a 0 a 0
a 0 b c b c
a b a 0 a 0
a b b c b c
c 0 c 0 c 0
c 0 0 c 0 c
c b c 0 c 0
c b 0 c 0 c
a a a 0 a 0
a a b c b c
a c a 0 a 0
a c b c b c
c a c 0 c 0
c a 0 c 0 c
c c c 0 c 0
c c 0 c 0 c

dmin: 1
Weight Enumerator: 1x0 + 3x1 + 0x2 + 4x3 + 13x4 + 5x5 + 6x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)5 (X_b)1 + (X_0)1 (X_b)1 (X_c)4 + (X_0)3 (X_b)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_b)4 + (X_a)2 (X_b)2 (X_c)2 + (X_0)5 (X_a)1 + (X_0)1 (X_a)1 (X_c)4 + (X_0)5 (X_c)1 + (X_0)1 (X_c)5 + (X_0)2 (X_a)1 (X_b)3 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_b)3 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_a)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)3 (X_b)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_b)1 (X_c)3 + (X_0)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)4 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)3 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)1 (X_c)3 + (X_0)2 (X_a)1 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c

Is it a nice code?: No

Generator Matrix-1161

a 0 a 0 a 0
0 a 0 0 0 a
b 0 b 0 b 0
0 b 0 0 0 b
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b 0 0 0 b
0 b c 0 0 b
b 0 b 0 b 0
b 0 a 0 b 0
b b b 0 b b
b b a 0 b b
0 a 0 0 0 a
0 a c 0 0 a
0 c 0 0 0 c
0 c c 0 0 c
b a b 0 b a
b a a 0 b a
b c b 0 b c
b c a 0 b c
a 0 a 0 a 0
a 0 b 0 a 0
a b a 0 a b
a b b 0 a b
c 0 c 0 c 0
c 0 0 0 c 0
c b c 0 c b
c b 0 0 c b
a a a 0 a a
a a b 0 a a
a c a 0 a c
a c b 0 a c
c a c 0 c a
c a 0 0 c a
c c c 0 c c
c c 0 0 c c

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 4x2 + 8x3 + 3x4 + 15x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)4 (X_b)2 + (X_0)3 (X_b)2 (X_c)1 + (X_0)3 (X_b)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)1 (X_b)5 + (X_0)1 (X_a)1 (X_b)4 + (X_0)4 (X_a)2 + (X_0)3 (X_a)2 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)2 (X_b)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)5 + (X_0)1 (X_a)4 (X_b)1 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0

Is it a nice code?: No

Generator Matrix-1162

a 0 a 0 a 0
0 a 0 0 0 a
b 0 b 0 b 0
0 b 0 0 0 b
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b 0 0 0 b
0 b c 0 0 a
b 0 b 0 b 0
b 0 a 0 b c
b b b 0 b b
b b a 0 b a
0 a 0 0 0 a
0 a c 0 0 b
0 c 0 0 0 c
0 c c 0 0 0
b a b 0 b a
b a a 0 b b
b c b 0 b c
b c a 0 b 0
a 0 a 0 a 0
a 0 b 0 a c
a b a 0 a b
a b b 0 a a
c 0 c 0 c 0
c 0 0 0 c c
c b c 0 c b
c b 0 0 c a
a a a 0 a a
a a b 0 a b
a c a 0 a c
a c b 0 a 0
c a c 0 c a
c a 0 0 c b
c c c 0 c c
c c 0 0 c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 5x2 + 7x3 + 6x4 + 13x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_b)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_b)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)4 (X_a)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)3 (X_b)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)3 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0

Is it a nice code?: No

Generator Matrix-1163

a 0 a 0 a 0
0 a 0 0 0 a
b 0 b 0 b 0
0 b 0 0 0 b
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b 0 0 0 b
0 b c 0 c b
b 0 b 0 b 0
b 0 a 0 a 0
b b b 0 b b
b b a 0 a b
0 a 0 0 0 a
0 a c 0 c a
0 c 0 0 0 c
0 c c 0 c c
b a b 0 b a
b a a 0 a a
b c b 0 b c
b c a 0 a c
a 0 a 0 a 0
a 0 b 0 b 0
a b a 0 a b
a b b 0 b b
c 0 c 0 c 0
c 0 0 0 0 0
c b c 0 c b
c b 0 0 0 b
a a a 0 a a
a a b 0 b a
a c a 0 a c
a c b 0 b c
c a c 0 c a
c a 0 0 0 a
c c c 0 c c
c c 0 0 0 c

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 4x2 + 8x3 + 3x4 + 15x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)3 (X_b)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)1 (X_b)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)4 (X_b)1 + (X_0)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)1 (X_b)4 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)1 (X_b)2 (X_c)3 + (X_0)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)3 (X_a)2 (X_c)1 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0

Is it a nice code?: No

Generator Matrix-1164

a 0 a 0 a 0
0 a 0 0 0 a
b 0 b 0 b 0
0 b 0 0 0 b
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b 0 0 0 b
0 b c 0 c a
b 0 b 0 b 0
b 0 a 0 a c
b b b 0 b b
b b a 0 a a
0 a 0 0 0 a
0 a c 0 c b
0 c 0 0 0 c
0 c c 0 c 0
b a b 0 b a
b a a 0 a b
b c b 0 b c
b c a 0 a 0
a 0 a 0 a 0
a 0 b 0 b c
a b a 0 a b
a b b 0 b a
c 0 c 0 c 0
c 0 0 0 0 c
c b c 0 c b
c b 0 0 0 a
a a a 0 a a
a a b 0 b b
a c a 0 a c
a c b 0 b 0
c a c 0 c a
c a 0 0 0 b
c c c 0 c c
c c 0 0 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 5x2 + 7x3 + 6x4 + 13x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_b)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)2 (X_b)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_c)3 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0

Is it a nice code?: No

Generator Matrix-1165

a 0 a 0 a 0
0 a 0 0 0 a
b 0 b 0 b 0
0 b 0 0 0 b
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b 0 0 0 b
0 b c c 0 b
b 0 b 0 b 0
b 0 a c b 0
b b b 0 b b
b b a c b b
0 a 0 0 0 a
0 a c c 0 a
0 c 0 0 0 c
0 c c c 0 c
b a b 0 b a
b a a c b a
b c b 0 b c
b c a c b c
a 0 a 0 a 0
a 0 b c a 0
a b a 0 a b
a b b c a b
c 0 c 0 c 0
c 0 0 c c 0
c b c 0 c b
c b 0 c c b
a a a 0 a a
a a b c a a
a c a 0 a c
a c b c a c
c a c 0 c a
c a 0 c c a
c c c 0 c c
c c 0 c c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 4x3 + 5x4 + 12x5 + 6x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_b)5 + (X_a)1 (X_b)4 (X_c)1 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_a)2 (X_b)3 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_b)3 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_a)2 (X_b)3 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_b)2 (X_c)3 + (X_0)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)5 + (X_a)4 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)2 (X_c)3 + (X_0)1 (X_a)2 (X_c)3 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0

Is it a nice code?: No

Generator Matrix-1166

a 0 a 0 a 0
0 a 0 0 0 a
b 0 b 0 b 0
0 b 0 0 0 b
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b 0 0 0 b
0 b c c 0 a
b 0 b 0 b 0
b 0 a c b c
b b b 0 b b
b b a c b a
0 a 0 0 0 a
0 a c c 0 b
0 c 0 0 0 c
0 c c c 0 0
b a b 0 b a
b a a c b b
b c b 0 b c
b c a c b 0
a 0 a 0 a 0
a 0 b c a c
a b a 0 a b
a b b c a a
c 0 c 0 c 0
c 0 0 c c c
c b c 0 c b
c b 0 c c a
a a a 0 a a
a a b c a b
a c a 0 a c
a c b c a 0
c a c 0 c a
c a 0 c c b
c c c 0 c c
c c 0 c c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 5x3 + 4x4 + 15x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_b)5 + (X_a)2 (X_b)3 (X_c)1 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)3 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_b)2 + (X_a)3 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)5 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0

Is it a nice code?: No

Generator Matrix-1167

a 0 a 0 a 0
0 a 0 0 0 a
b 0 b 0 b 0
0 b 0 0 0 b
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b 0 0 0 b
0 b c c c b
b 0 b 0 b 0
b 0 a c a 0
b b b 0 b b
b b a c a b
0 a 0 0 0 a
0 a c c c a
0 c 0 0 0 c
0 c c c c c
b a b 0 b a
b a a c a a
b c b 0 b c
b c a c a c
a 0 a 0 a 0
a 0 b c b 0
a b a 0 a b
a b b c b b
c 0 c 0 c 0
c 0 0 c 0 0
c b c 0 c b
c b 0 c 0 b
a a a 0 a a
a a b c b a
a c a 0 a c
a c b c b c
c a c 0 c a
c a 0 c 0 a
c c c 0 c c
c c 0 c 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 4x3 + 5x4 + 12x5 + 6x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)4 (X_b)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_b)5 + (X_a)2 (X_b)3 (X_c)1 + (X_0)4 (X_a)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5 + (X_0)1 (X_a)2 (X_b)3 + (X_a)4 (X_b)1 (X_c)1 + (X_0)1 (X_b)3 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_a)1 (X_b)4 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)5 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)2 (X_c)3 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0

Is it a nice code?: No

Generator Matrix-1168

a 0 a 0 a 0
0 a 0 0 0 a
b 0 b 0 b 0
0 b 0 0 0 b
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b 0 0 0 b
0 b c c c a
b 0 b 0 b 0
b 0 a c a c
b b b 0 b b
b b a c a a
0 a 0 0 0 a
0 a c c c b
0 c 0 0 0 c
0 c c c c 0
b a b 0 b a
b a a c a b
b c b 0 b c
b c a c a 0
a 0 a 0 a 0
a 0 b c b c
a b a 0 a b
a b b c b a
c 0 c 0 c 0
c 0 0 c 0 c
c b c 0 c b
c b 0 c 0 a
a a a 0 a a
a a b c b b
a c a 0 a c
a c b c b 0
c a c 0 c a
c a 0 c 0 b
c c c 0 c c
c c 0 c 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 5x3 + 4x4 + 15x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)4 (X_b)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_b)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_b)5 + (X_a)3 (X_b)2 (X_c)1 + (X_0)4 (X_a)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_a)2 (X_b)3 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)3 (X_b)2 + (X_a)2 (X_b)3 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)5 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0

Is it a nice code?: No

Generator Matrix-1169

a 0 a 0 a 0
0 a 0 0 a 0
b 0 b 0 b 0
0 b 0 0 b 0
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b 0 0 b 0
0 b c 0 b 0
b 0 b 0 b 0
b 0 a 0 b 0
b b b 0 0 0
b b a 0 0 0
0 a 0 0 a 0
0 a c 0 a 0
0 c 0 0 c 0
0 c c 0 c 0
b a b 0 c 0
b a a 0 c 0
b c b 0 a 0
b c a 0 a 0
a 0 a 0 a 0
a 0 b 0 a 0
a b a 0 c 0
a b b 0 c 0
c 0 c 0 c 0
c 0 0 0 c 0
c b c 0 a 0
c b 0 0 a 0
a a a 0 0 0
a a b 0 0 0
a c a 0 b 0
a c b 0 b 0
c a c 0 b 0
c a 0 0 b 0
c c c 0 0 0
c c 0 0 0 0

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 5x2 + 15x3 + 10x4 + 0x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)4 (X_b)2 + (X_0)3 (X_b)2 (X_c)1 + (X_0)3 (X_b)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)3 (X_b)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)4 (X_a)2 + (X_0)3 (X_a)2 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_a)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)3 (X_a)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c

Is it a nice code?: No

Generator Matrix-1170

a 0 a 0 a 0
0 a 0 0 a 0
b 0 b 0 b 0
0 b 0 0 b 0
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b 0 0 b 0
0 b c 0 b c
b 0 b 0 b 0
b 0 a 0 b c
b b b 0 0 0
b b a 0 0 c
0 a 0 0 a 0
0 a c 0 a c
0 c 0 0 c 0
0 c c 0 c c
b a b 0 c 0
b a a 0 c c
b c b 0 a 0
b c a 0 a c
a 0 a 0 a 0
a 0 b 0 a c
a b a 0 c 0
a b b 0 c c
c 0 c 0 c 0
c 0 0 0 c c
c b c 0 a 0
c b 0 0 a c
a a a 0 0 0
a a b 0 0 c
a c a 0 b 0
a c b 0 b c
c a c 0 b 0
c a 0 0 b c
c c c 0 0 0
c c 0 0 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 8x3 + 15x4 + 4x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c

Is it a nice code?: No

Generator Matrix-1171

a 0 a 0 a 0
0 a 0 0 a 0
b 0 b 0 b 0
0 b 0 0 b 0
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b 0 0 b 0
0 b c 0 a 0
b 0 b 0 b 0
b 0 a 0 a 0
b b b 0 0 0
b b a 0 c 0
0 a 0 0 a 0
0 a c 0 b 0
0 c 0 0 c 0
0 c c 0 0 0
b a b 0 c 0
b a a 0 0 0
b c b 0 a 0
b c a 0 b 0
a 0 a 0 a 0
a 0 b 0 b 0
a b a 0 c 0
a b b 0 0 0
c 0 c 0 c 0
c 0 0 0 0 0
c b c 0 a 0
c b 0 0 b 0
a a a 0 0 0
a a b 0 c 0
a c a 0 b 0
a c b 0 a 0
c a c 0 b 0
c a 0 0 a 0
c c c 0 0 0
c c 0 0 c 0

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 5x2 + 15x3 + 10x4 + 0x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_b)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)3 (X_b)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)4 (X_a)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_a)2 (X_b)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_a)1 (X_b)2 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_a)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c

Is it a nice code?: No

Generator Matrix-1172

a 0 a 0 a 0
0 a 0 0 a 0
b 0 b 0 b 0
0 b 0 0 b 0
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b 0 0 b 0
0 b c 0 a c
b 0 b 0 b 0
b 0 a 0 a c
b b b 0 0 0
b b a 0 c c
0 a 0 0 a 0
0 a c 0 b c
0 c 0 0 c 0
0 c c 0 0 c
b a b 0 c 0
b a a 0 0 c
b c b 0 a 0
b c a 0 b c
a 0 a 0 a 0
a 0 b 0 b c
a b a 0 c 0
a b b 0 0 c
c 0 c 0 c 0
c 0 0 0 0 c
c b c 0 a 0
c b 0 0 b c
a a a 0 0 0
a a b 0 c c
a c a 0 b 0
a c b 0 a c
c a c 0 b 0
c a 0 0 a c
c c c 0 0 0
c c 0 0 c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 8x3 + 15x4 + 4x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c

Is it a nice code?: No

Generator Matrix-1173

a 0 a 0 a 0
0 a 0 0 a 0
b 0 b 0 b 0
0 b 0 0 b 0
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b 0 0 b 0
0 b c c b 0
b 0 b 0 b 0
b 0 a c b 0
b b b 0 0 0
b b a c 0 0
0 a 0 0 a 0
0 a c c a 0
0 c 0 0 c 0
0 c c c c 0
b a b 0 c 0
b a a c c 0
b c b 0 a 0
b c a c a 0
a 0 a 0 a 0
a 0 b c a 0
a b a 0 c 0
a b b c c 0
c 0 c 0 c 0
c 0 0 c c 0
c b c 0 a 0
c b 0 c a 0
a a a 0 0 0
a a b c 0 0
a c a 0 b 0
a c b c b 0
c a c 0 b 0
c a 0 c b 0
c c c 0 0 0
c c 0 c 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 8x3 + 15x4 + 4x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c

Is it a nice code?: No

Generator Matrix-1174

a 0 a 0 a 0
0 a 0 0 a 0
b 0 b 0 b 0
0 b 0 0 b 0
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b 0 0 b 0
0 b c c b c
b 0 b 0 b 0
b 0 a c b c
b b b 0 0 0
b b a c 0 c
0 a 0 0 a 0
0 a c c a c
0 c 0 0 c 0
0 c c c c c
b a b 0 c 0
b a a c c c
b c b 0 a 0
b c a c a c
a 0 a 0 a 0
a 0 b c a c
a b a 0 c 0
a b b c c c
c 0 c 0 c 0
c 0 0 c c c
c b c 0 a 0
c b 0 c a c
a a a 0 0 0
a a b c 0 c
a c a 0 b 0
a c b c b c
c a c 0 b 0
c a 0 c b c
c c c 0 0 0
c c 0 c 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 7x3 + 8x4 + 9x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)4 (X_b)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)4 (X_a)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c

Is it a nice code?: No

Generator Matrix-1175

a 0 a 0 a 0
0 a 0 0 a 0
b 0 b 0 b 0
0 b 0 0 b 0
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b 0 0 b 0
0 b c c a 0
b 0 b 0 b 0
b 0 a c a 0
b b b 0 0 0
b b a c c 0
0 a 0 0 a 0
0 a c c b 0
0 c 0 0 c 0
0 c c c 0 0
b a b 0 c 0
b a a c 0 0
b c b 0 a 0
b c a c b 0
a 0 a 0 a 0
a 0 b c b 0
a b a 0 c 0
a b b c 0 0
c 0 c 0 c 0
c 0 0 c 0 0
c b c 0 a 0
c b 0 c b 0
a a a 0 0 0
a a b c c 0
a c a 0 b 0
a c b c a 0
c a c 0 b 0
c a 0 c a 0
c c c 0 0 0
c c 0 c c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 8x3 + 15x4 + 4x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c

Is it a nice code?: No

Generator Matrix-1176

a 0 a 0 a 0
0 a 0 0 a 0
b 0 b 0 b 0
0 b 0 0 b 0
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b 0 0 b 0
0 b c c a c
b 0 b 0 b 0
b 0 a c a c
b b b 0 0 0
b b a c c c
0 a 0 0 a 0
0 a c c b c
0 c 0 0 c 0
0 c c c 0 c
b a b 0 c 0
b a a c 0 c
b c b 0 a 0
b c a c b c
a 0 a 0 a 0
a 0 b c b c
a b a 0 c 0
a b b c 0 c
c 0 c 0 c 0
c 0 0 c 0 c
c b c 0 a 0
c b 0 c b c
a a a 0 0 0
a a b c c c
a c a 0 b 0
a c b c a c
c a c 0 b 0
c a 0 c a c
c c c 0 0 0
c c 0 c c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 7x3 + 8x4 + 9x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)4 (X_b)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_b)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_b)3 + (X_a)1 (X_b)2 (X_c)3 + (X_0)4 (X_a)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)3 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c

Is it a nice code?: No

Generator Matrix-1177

a 0 a 0 a 0
0 a 0 0 a a
b 0 b 0 b 0
0 b 0 0 b b
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b 0 0 b b
0 b c 0 b b
b 0 b 0 b 0
b 0 a 0 b 0
b b b 0 0 b
b b a 0 0 b
0 a 0 0 a a
0 a c 0 a a
0 c 0 0 c c
0 c c 0 c c
b a b 0 c a
b a a 0 c a
b c b 0 a c
b c a 0 a c
a 0 a 0 a 0
a 0 b 0 a 0
a b a 0 c b
a b b 0 c b
c 0 c 0 c 0
c 0 0 0 c 0
c b c 0 a b
c b 0 0 a b
a a a 0 0 a
a a b 0 0 a
a c a 0 b c
a c b 0 b c
c a c 0 b a
c a 0 0 b a
c c c 0 0 c
c c 0 0 0 c

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 1x2 + 9x3 + 10x4 + 10x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_b)3 (X_c)1 + (X_0)3 (X_b)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)2 (X_b)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)3 (X_a)3 + (X_0)2 (X_a)3 (X_c)1 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0

Is it a nice code?: No

Generator Matrix-1178

a 0 a 0 a 0
0 a 0 0 a a
b 0 b 0 b 0
0 b 0 0 b b
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b 0 0 b b
0 b c 0 b a
b 0 b 0 b 0
b 0 a 0 b c
b b b 0 0 b
b b a 0 0 a
0 a 0 0 a a
0 a c 0 a b
0 c 0 0 c c
0 c c 0 c 0
b a b 0 c a
b a a 0 c b
b c b 0 a c
b c a 0 a 0
a 0 a 0 a 0
a 0 b 0 a c
a b a 0 c b
a b b 0 c a
c 0 c 0 c 0
c 0 0 0 c c
c b c 0 a b
c b 0 0 a a
a a a 0 0 a
a a b 0 0 b
a c a 0 b c
a c b 0 b 0
c a c 0 b a
c a 0 0 b b
c c c 0 0 c
c c 0 0 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 2x2 + 8x3 + 13x4 + 8x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0

Is it a nice code?: No

Generator Matrix-1179

a 0 a 0 a 0
0 a 0 0 a a
b 0 b 0 b 0
0 b 0 0 b b
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b 0 0 b b
0 b c 0 a b
b 0 b 0 b 0
b 0 a 0 a 0
b b b 0 0 b
b b a 0 c b
0 a 0 0 a a
0 a c 0 b a
0 c 0 0 c c
0 c c 0 0 c
b a b 0 c a
b a a 0 0 a
b c b 0 a c
b c a 0 b c
a 0 a 0 a 0
a 0 b 0 b 0
a b a 0 c b
a b b 0 0 b
c 0 c 0 c 0
c 0 0 0 0 0
c b c 0 a b
c b 0 0 b b
a a a 0 0 a
a a b 0 c a
a c a 0 b c
a c b 0 a c
c a c 0 b a
c a 0 0 a a
c c c 0 0 c
c c 0 0 c c

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 1x2 + 9x3 + 10x4 + 10x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_b)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)3 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)3 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0

Is it a nice code?: No

Generator Matrix-1180

a 0 a 0 a 0
0 a 0 0 a a
b 0 b 0 b 0
0 b 0 0 b b
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b 0 0 b b
0 b c 0 a a
b 0 b 0 b 0
b 0 a 0 a c
b b b 0 0 b
b b a 0 c a
0 a 0 0 a a
0 a c 0 b b
0 c 0 0 c c
0 c c 0 0 0
b a b 0 c a
b a a 0 0 b
b c b 0 a c
b c a 0 b 0
a 0 a 0 a 0
a 0 b 0 b c
a b a 0 c b
a b b 0 0 a
c 0 c 0 c 0
c 0 0 0 0 c
c b c 0 a b
c b 0 0 b a
a a a 0 0 a
a a b 0 c b
a c a 0 b c
a c b 0 a 0
c a c 0 b a
c a 0 0 a b
c c c 0 0 c
c c 0 0 c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 2x2 + 8x3 + 13x4 + 8x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0

Is it a nice code?: No

Generator Matrix-1181

a 0 a 0 a 0
0 a 0 0 a a
b 0 b 0 b 0
0 b 0 0 b b
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b 0 0 b b
0 b c c b b
b 0 b 0 b 0
b 0 a c b 0
b b b 0 0 b
b b a c 0 b
0 a 0 0 a a
0 a c c a a
0 c 0 0 c c
0 c c c c c
b a b 0 c a
b a a c c a
b c b 0 a c
b c a c a c
a 0 a 0 a 0
a 0 b c a 0
a b a 0 c b
a b b c c b
c 0 c 0 c 0
c 0 0 c c 0
c b c 0 a b
c b 0 c a b
a a a 0 0 a
a a b c 0 a
a c a 0 b c
a c b c b c
c a c 0 b a
c a 0 c b a
c c c 0 0 c
c c 0 c 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 7x3 + 6x4 + 13x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)3 (X_a)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0

Is it a nice code?: No

Generator Matrix-1182

a 0 a 0 a 0
0 a 0 0 a a
b 0 b 0 b 0
0 b 0 0 b b
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b 0 0 b b
0 b c c b a
b 0 b 0 b 0
b 0 a c b c
b b b 0 0 b
b b a c 0 a
0 a 0 0 a a
0 a c c a b
0 c 0 0 c c
0 c c c c 0
b a b 0 c a
b a a c c b
b c b 0 a c
b c a c a 0
a 0 a 0 a 0
a 0 b c a c
a b a 0 c b
a b b c c a
c 0 c 0 c 0
c 0 0 c c c
c b c 0 a b
c b 0 c a a
a a a 0 0 a
a a b c 0 b
a c a 0 b c
a c b c b 0
c a c 0 b a
c a 0 c b b
c c c 0 0 c
c c 0 c 0 0

dmin: 3
Weight Enumerator: 1x0 + 0x1 + 0x2 + 8x3 + 5x4 + 16x5 + 2x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0

Is it a nice code?: No

Generator Matrix-1183

a 0 a 0 a 0
0 a 0 0 a a
b 0 b 0 b 0
0 b 0 0 b b
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b 0 0 b b
0 b c c a b
b 0 b 0 b 0
b 0 a c a 0
b b b 0 0 b
b b a c c b
0 a 0 0 a a
0 a c c b a
0 c 0 0 c c
0 c c c 0 c
b a b 0 c a
b a a c 0 a
b c b 0 a c
b c a c b c
a 0 a 0 a 0
a 0 b c b 0
a b a 0 c b
a b b c 0 b
c 0 c 0 c 0
c 0 0 c 0 0
c b c 0 a b
c b 0 c b b
a a a 0 0 a
a a b c c a
a c a 0 b c
a c b c a c
c a c 0 b a
c a 0 c a a
c c c 0 0 c
c c 0 c c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 7x3 + 6x4 + 13x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_b)4 + (X_a)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)4 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0

Is it a nice code?: No

Generator Matrix-1184

a 0 a 0 a 0
0 a 0 0 a a
b 0 b 0 b 0
0 b 0 0 b b
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b 0 0 b b
0 b c c a a
b 0 b 0 b 0
b 0 a c a c
b b b 0 0 b
b b a c c a
0 a 0 0 a a
0 a c c b b
0 c 0 0 c c
0 c c c 0 0
b a b 0 c a
b a a c 0 b
b c b 0 a c
b c a c b 0
a 0 a 0 a 0
a 0 b c b c
a b a 0 c b
a b b c 0 a
c 0 c 0 c 0
c 0 0 c 0 c
c b c 0 a b
c b 0 c b a
a a a 0 0 a
a a b c c b
a c a 0 b c
a c b c a 0
c a c 0 b a
c a 0 c a b
c c c 0 0 c
c c 0 c c 0

dmin: 3
Weight Enumerator: 1x0 + 0x1 + 0x2 + 8x3 + 5x4 + 16x5 + 2x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)3 (X_b)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_b)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_b)4 + (X_a)2 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0

Is it a nice code?: No

Generator Matrix-1185

a 0 a 0 a 0
0 a 0 a 0 0
b 0 b 0 b 0
0 b 0 b 0 0
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b 0 b 0 0
0 b c b 0 0
b 0 b 0 b 0
b 0 a 0 b 0
b b b b b 0
b b a b b 0
0 a 0 a 0 0
0 a c a 0 0
0 c 0 c 0 0
0 c c c 0 0
b a b a b 0
b a a a b 0
b c b c b 0
b c a c b 0
a 0 a 0 a 0
a 0 b 0 a 0
a b a b a 0
a b b b a 0
c 0 c 0 c 0
c 0 0 0 c 0
c b c b c 0
c b 0 b c 0
a a a a a 0
a a b a a 0
a c a c a 0
a c b c a 0
c a c a c 0
c a 0 a c 0
c c c c c 0
c c 0 c c 0

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 4x2 + 8x3 + 3x4 + 15x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)4 (X_b)2 + (X_0)3 (X_b)2 (X_c)1 + (X_0)3 (X_b)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)1 (X_b)5 + (X_0)1 (X_a)1 (X_b)4 + (X_0)4 (X_a)2 + (X_0)3 (X_a)2 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)2 (X_b)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)5 + (X_0)1 (X_a)4 (X_b)1 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c

Is it a nice code?: No

Generator Matrix-1186

a 0 a 0 a 0
0 a 0 a 0 0
b 0 b 0 b 0
0 b 0 b 0 0
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b 0 b 0 0
0 b c b 0 c
b 0 b 0 b 0
b 0 a 0 b c
b b b b b 0
b b a b b c
0 a 0 a 0 0
0 a c a 0 c
0 c 0 c 0 0
0 c c c 0 c
b a b a b 0
b a a a b c
b c b c b 0
b c a c b c
a 0 a 0 a 0
a 0 b 0 a c
a b a b a 0
a b b b a c
c 0 c 0 c 0
c 0 0 0 c c
c b c b c 0
c b 0 b c c
a a a a a 0
a a b a a c
a c a c a 0
a c b c a c
c a c a c 0
c a 0 a c c
c c c c c 0
c c 0 c c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 4x3 + 5x4 + 12x5 + 6x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_b)5 + (X_a)1 (X_b)4 (X_c)1 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_a)2 (X_b)3 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_b)3 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_a)2 (X_b)3 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_b)2 (X_c)3 + (X_0)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)5 + (X_a)4 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)2 (X_c)3 + (X_0)1 (X_a)2 (X_c)3 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c

Is it a nice code?: No

Generator Matrix-1187

a 0 a 0 a 0
0 a 0 a 0 0
b 0 b 0 b 0
0 b 0 b 0 0
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b 0 b 0 0
0 b c b c 0
b 0 b 0 b 0
b 0 a 0 a 0
b b b b b 0
b b a b a 0
0 a 0 a 0 0
0 a c a c 0
0 c 0 c 0 0
0 c c c c 0
b a b a b 0
b a a a a 0
b c b c b 0
b c a c a 0
a 0 a 0 a 0
a 0 b 0 b 0
a b a b a 0
a b b b b 0
c 0 c 0 c 0
c 0 0 0 0 0
c b c b c 0
c b 0 b 0 0
a a a a a 0
a a b a b 0
a c a c a 0
a c b c b 0
c a c a c 0
c a 0 a 0 0
c c c c c 0
c c 0 c 0 0

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 4x2 + 8x3 + 3x4 + 15x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)3 (X_b)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)1 (X_b)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)4 (X_b)1 + (X_0)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)1 (X_b)4 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)1 (X_b)2 (X_c)3 + (X_0)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)3 (X_a)2 (X_c)1 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c

Is it a nice code?: No

Generator Matrix-1188

a 0 a 0 a 0
0 a 0 a 0 0
b 0 b 0 b 0
0 b 0 b 0 0
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b 0 b 0 0
0 b c b c c
b 0 b 0 b 0
b 0 a 0 a c
b b b b b 0
b b a b a c
0 a 0 a 0 0
0 a c a c c
0 c 0 c 0 0
0 c c c c c
b a b a b 0
b a a a a c
b c b c b 0
b c a c a c
a 0 a 0 a 0
a 0 b 0 b c
a b a b a 0
a b b b b c
c 0 c 0 c 0
c 0 0 0 0 c
c b c b c 0
c b 0 b 0 c
a a a a a 0
a a b a b c
a c a c a 0
a c b c b c
c a c a c 0
c a 0 a 0 c
c c c c c 0
c c 0 c 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 4x3 + 5x4 + 12x5 + 6x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)4 (X_b)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_b)5 + (X_a)2 (X_b)3 (X_c)1 + (X_0)4 (X_a)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5 + (X_0)1 (X_a)2 (X_b)3 + (X_a)4 (X_b)1 (X_c)1 + (X_0)1 (X_b)3 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_a)1 (X_b)4 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)5 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)2 (X_c)3 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c

Is it a nice code?: No

Generator Matrix-1189

a 0 a 0 a 0
0 a 0 a 0 0
b 0 b 0 b 0
0 b 0 b 0 0
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b 0 b 0 0
0 b c a 0 0
b 0 b 0 b 0
b 0 a c b 0
b b b b b 0
b b a a b 0
0 a 0 a 0 0
0 a c b 0 0
0 c 0 c 0 0
0 c c 0 0 0
b a b a b 0
b a a b b 0
b c b c b 0
b c a 0 b 0
a 0 a 0 a 0
a 0 b c a 0
a b a b a 0
a b b a a 0
c 0 c 0 c 0
c 0 0 c c 0
c b c b c 0
c b 0 a c 0
a a a a a 0
a a b b a 0
a c a c a 0
a c b 0 a 0
c a c a c 0
c a 0 b c 0
c c c c c 0
c c 0 0 c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 5x2 + 7x3 + 6x4 + 13x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_b)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_b)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)4 (X_a)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)3 (X_b)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)3 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c

Is it a nice code?: No

Generator Matrix-1190

a 0 a 0 a 0
0 a 0 a 0 0
b 0 b 0 b 0
0 b 0 b 0 0
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b 0 b 0 0
0 b c a 0 c
b 0 b 0 b 0
b 0 a c b c
b b b b b 0
b b a a b c
0 a 0 a 0 0
0 a c b 0 c
0 c 0 c 0 0
0 c c 0 0 c
b a b a b 0
b a a b b c
b c b c b 0
b c a 0 b c
a 0 a 0 a 0
a 0 b c a c
a b a b a 0
a b b a a c
c 0 c 0 c 0
c 0 0 c c c
c b c b c 0
c b 0 a c c
a a a a a 0
a a b b a c
a c a c a 0
a c b 0 a c
c a c a c 0
c a 0 b c c
c c c c c 0
c c 0 0 c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 5x3 + 4x4 + 15x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_b)5 + (X_a)2 (X_b)3 (X_c)1 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)3 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_b)2 + (X_a)3 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)5 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c

Is it a nice code?: No

Generator Matrix-1191

a 0 a 0 a 0
0 a 0 a 0 0
b 0 b 0 b 0
0 b 0 b 0 0
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b 0 b 0 0
0 b c a c 0
b 0 b 0 b 0
b 0 a c a 0
b b b b b 0
b b a a a 0
0 a 0 a 0 0
0 a c b c 0
0 c 0 c 0 0
0 c c 0 c 0
b a b a b 0
b a a b a 0
b c b c b 0
b c a 0 a 0
a 0 a 0 a 0
a 0 b c b 0
a b a b a 0
a b b a b 0
c 0 c 0 c 0
c 0 0 c 0 0
c b c b c 0
c b 0 a 0 0
a a a a a 0
a a b b b 0
a c a c a 0
a c b 0 b 0
c a c a c 0
c a 0 b 0 0
c c c c c 0
c c 0 0 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 5x2 + 7x3 + 6x4 + 13x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_b)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)2 (X_b)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_c)3 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c

Is it a nice code?: No

Generator Matrix-1192

a 0 a 0 a 0
0 a 0 a 0 0
b 0 b 0 b 0
0 b 0 b 0 0
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b 0 b 0 0
0 b c a c c
b 0 b 0 b 0
b 0 a c a c
b b b b b 0
b b a a a c
0 a 0 a 0 0
0 a c b c c
0 c 0 c 0 0
0 c c 0 c c
b a b a b 0
b a a b a c
b c b c b 0
b c a 0 a c
a 0 a 0 a 0
a 0 b c b c
a b a b a 0
a b b a b c
c 0 c 0 c 0
c 0 0 c 0 c
c b c b c 0
c b 0 a 0 c
a a a a a 0
a a b b b c
a c a c a 0
a c b 0 b c
c a c a c 0
c a 0 b 0 c
c c c c c 0
c c 0 0 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 5x3 + 4x4 + 15x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)4 (X_b)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_b)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_b)5 + (X_a)3 (X_b)2 (X_c)1 + (X_0)4 (X_a)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_a)2 (X_b)3 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)3 (X_b)2 + (X_a)2 (X_b)3 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)5 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c

Is it a nice code?: No

Generator Matrix-1193

a 0 a 0 a 0
0 a 0 a 0 a
b 0 b 0 b 0
0 b 0 b 0 b
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b 0 b 0 b
0 b c b 0 b
b 0 b 0 b 0
b 0 a 0 b 0
b b b b b b
b b a b b b
0 a 0 a 0 a
0 a c a 0 a
0 c 0 c 0 c
0 c c c 0 c
b a b a b a
b a a a b a
b c b c b c
b c a c b c
a 0 a 0 a 0
a 0 b 0 a 0
a b a b a b
a b b b a b
c 0 c 0 c 0
c 0 0 0 c 0
c b c b c b
c b 0 b c b
a a a a a a
a a b a a a
a c a c a c
a c b c a c
c a c a c a
c a 0 a c a
c c c c c c
c c 0 c c c

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 1x2 + 8x3 + 3x4 + 3x5 + 15x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_b)3 (X_c)1 + (X_0)3 (X_b)3 + (X_0)3 (X_a)1 (X_b)2 + (X_b)6 + (X_a)1 (X_b)5 + (X_0)3 (X_a)3 + (X_0)2 (X_a)3 (X_c)1 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_a)3 (X_b)3 + (X_a)4 (X_b)2 + (X_b)3 (X_c)3 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)3 + (X_0)3 (X_a)2 (X_b)1 + (X_a)3 (X_b)3 + (X_a)2 (X_b)4 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_b)3 (X_c)3 + (X_0)1 (X_b)3 (X_c)2 + (X_a)6 + (X_a)5 (X_b)1 + (X_a)3 (X_c)3 + (X_a)2 (X_b)1 (X_c)3 + (X_a)3 (X_c)3 + (X_0)1 (X_a)3 (X_c)2 + (X_c)6 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1194

a 0 a 0 a 0
0 a 0 a 0 a
b 0 b 0 b 0
0 b 0 b 0 b
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b 0 b 0 b
0 b c b 0 a
b 0 b 0 b 0
b 0 a 0 b c
b b b b b b
b b a b b a
0 a 0 a 0 a
0 a c a 0 b
0 c 0 c 0 c
0 c c c 0 0
b a b a b a
b a a a b b
b c b c b c
b c a c b 0
a 0 a 0 a 0
a 0 b 0 a c
a b a b a b
a b b b a a
c 0 c 0 c 0
c 0 0 0 c c
c b c b c b
c b 0 b c a
a a a a a a
a a b a a b
a c a c a c
a c b c a 0
c a c a c a
c a 0 a c b
c c c c c c
c c 0 c c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 8x3 + 5x4 + 4x5 + 13x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_b)6 + (X_a)2 (X_b)4 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_a)3 (X_b)3 + (X_a)3 (X_b)3 + (X_b)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)3 (X_b)3 + (X_a)3 (X_b)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_b)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)6 + (X_a)4 (X_b)2 + (X_a)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_c)6 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1195

a 0 a 0 a 0
0 a 0 a 0 a
b 0 b 0 b 0
0 b 0 b 0 b
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b 0 b 0 b
0 b c b c b
b 0 b 0 b 0
b 0 a 0 a 0
b b b b b b
b b a b a b
0 a 0 a 0 a
0 a c a c a
0 c 0 c 0 c
0 c c c c c
b a b a b a
b a a a a a
b c b c b c
b c a c a c
a 0 a 0 a 0
a 0 b 0 b 0
a b a b a b
a b b b b b
c 0 c 0 c 0
c 0 0 0 0 0
c b c b c b
c b 0 b 0 b
a a a a a a
a a b a b a
a c a c a c
a c b c b c
c a c a c a
c a 0 a 0 a
c c c c c c
c c 0 c 0 c

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 1x2 + 8x3 + 3x4 + 3x5 + 15x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)3 (X_b)3 + (X_0)3 (X_a)2 (X_b)1 + (X_b)6 + (X_a)2 (X_b)4 + (X_0)3 (X_a)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_a)3 (X_b)3 + (X_a)5 (X_b)1 + (X_b)3 (X_c)3 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_a)3 + (X_0)3 (X_a)1 (X_b)2 + (X_a)3 (X_b)3 + (X_a)1 (X_b)5 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_b)3 (X_c)3 + (X_0)2 (X_b)3 (X_c)1 + (X_a)6 + (X_a)4 (X_b)2 + (X_a)3 (X_c)3 + (X_a)1 (X_b)2 (X_c)3 + (X_a)3 (X_c)3 + (X_0)2 (X_a)3 (X_c)1 + (X_c)6 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1196

a 0 a 0 a 0
0 a 0 a 0 a
b 0 b 0 b 0
0 b 0 b 0 b
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b 0 b 0 b
0 b c b c a
b 0 b 0 b 0
b 0 a 0 a c
b b b b b b
b b a b a a
0 a 0 a 0 a
0 a c a c b
0 c 0 c 0 c
0 c c c c 0
b a b a b a
b a a a a b
b c b c b c
b c a c a 0
a 0 a 0 a 0
a 0 b 0 b c
a b a b a b
a b b b b a
c 0 c 0 c 0
c 0 0 0 0 c
c b c b c b
c b 0 b 0 a
a a a a a a
a a b a b b
a c a c a c
a c b c b 0
c a c a c a
c a 0 a 0 b
c c c c c c
c c 0 c 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 8x3 + 5x4 + 4x5 + 13x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_b)6 + (X_a)3 (X_b)3 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_a)3 (X_b)3 + (X_a)4 (X_b)2 + (X_b)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)3 (X_b)3 + (X_a)2 (X_b)4 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_b)3 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)6 + (X_a)3 (X_b)3 + (X_a)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)3 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_c)6 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1197

a 0 a 0 a 0
0 a 0 a 0 a
b 0 b 0 b 0
0 b 0 b 0 b
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b 0 b 0 b
0 b c a 0 b
b 0 b 0 b 0
b 0 a c b 0
b b b b b b
b b a a b b
0 a 0 a 0 a
0 a c b 0 a
0 c 0 c 0 c
0 c c 0 0 c
b a b a b a
b a a b b a
b c b c b c
b c a 0 b c
a 0 a 0 a 0
a 0 b c a 0
a b a b a b
a b b a a b
c 0 c 0 c 0
c 0 0 c c 0
c b c b c b
c b 0 a c b
a a a a a a
a a b b a a
a c a c a c
a c b 0 a c
c a c a c a
c a 0 b c a
c c c c c c
c c 0 0 c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 8x3 + 5x4 + 4x5 + 13x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_b)6 + (X_a)2 (X_b)4 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_a)3 (X_b)3 + (X_a)3 (X_b)3 + (X_b)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)3 (X_b)3 + (X_a)3 (X_b)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_b)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)6 + (X_a)4 (X_b)2 + (X_a)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_c)6 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1198

a 0 a 0 a 0
0 a 0 a 0 a
b 0 b 0 b 0
0 b 0 b 0 b
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b 0 b 0 b
0 b c a 0 a
b 0 b 0 b 0
b 0 a c b c
b b b b b b
b b a a b a
0 a 0 a 0 a
0 a c b 0 b
0 c 0 c 0 c
0 c c 0 0 0
b a b a b a
b a a b b b
b c b c b c
b c a 0 b 0
a 0 a 0 a 0
a 0 b c a c
a b a b a b
a b b a a a
c 0 c 0 c 0
c 0 0 c c c
c b c b c b
c b 0 a c a
a a a a a a
a a b b a b
a c a c a c
a c b 0 a 0
c a c a c a
c a 0 b c b
c c c c c c
c c 0 0 c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 8x3 + 5x4 + 4x5 + 13x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_b)6 + (X_a)3 (X_b)3 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_a)3 (X_b)3 + (X_a)2 (X_b)4 + (X_b)3 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)3 (X_b)3 + (X_a)4 (X_b)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_b)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)6 + (X_a)3 (X_b)3 + (X_a)3 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_c)6 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1199

a 0 a 0 a 0
0 a 0 a 0 a
b 0 b 0 b 0
0 b 0 b 0 b
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b 0 b 0 b
0 b c a c b
b 0 b 0 b 0
b 0 a c a 0
b b b b b b
b b a a a b
0 a 0 a 0 a
0 a c b c a
0 c 0 c 0 c
0 c c 0 c c
b a b a b a
b a a b a a
b c b c b c
b c a 0 a c
a 0 a 0 a 0
a 0 b c b 0
a b a b a b
a b b a b b
c 0 c 0 c 0
c 0 0 c 0 0
c b c b c b
c b 0 a 0 b
a a a a a a
a a b b b a
a c a c a c
a c b 0 b c
c a c a c a
c a 0 b 0 a
c c c c c c
c c 0 0 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 8x3 + 5x4 + 4x5 + 13x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_b)6 + (X_a)3 (X_b)3 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_a)3 (X_b)3 + (X_a)4 (X_b)2 + (X_b)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)3 (X_b)3 + (X_a)2 (X_b)4 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_b)3 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)6 + (X_a)3 (X_b)3 + (X_a)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)3 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_c)6 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1200

a 0 a 0 a 0
0 a 0 a 0 a
b 0 b 0 b 0
0 b 0 b 0 b
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b 0 b 0 b
0 b c a c a
b 0 b 0 b 0
b 0 a c a c
b b b b b b
b b a a a a
0 a 0 a 0 a
0 a c b c b
0 c 0 c 0 c
0 c c 0 c 0
b a b a b a
b a a b a b
b c b c b c
b c a 0 a 0
a 0 a 0 a 0
a 0 b c b c
a b a b a b
a b b a b a
c 0 c 0 c 0
c 0 0 c 0 c
c b c b c b
c b 0 a 0 a
a a a a a a
a a b b b b
a c a c a c
a c b 0 b 0
c a c a c a
c a 0 b 0 b
c c c c c c
c c 0 0 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 8x3 + 5x4 + 4x5 + 13x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)3 (X_b)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_b)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_b)6 + (X_a)4 (X_b)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_a)3 (X_b)3 + (X_a)3 (X_b)3 + (X_b)3 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_a)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)3 (X_b)3 + (X_a)3 (X_b)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_b)3 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)6 + (X_a)2 (X_b)4 + (X_a)3 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)3 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_c)6 + (X_0)4 (X_c)2

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1201

a 0 a 0 a 0
0 a 0 a a 0
b 0 b 0 b 0
0 b 0 b b 0
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b 0 b b 0
0 b c b b 0
b 0 b 0 b 0
b 0 a 0 b 0
b b b b 0 0
b b a b 0 0
0 a 0 a a 0
0 a c a a 0
0 c 0 c c 0
0 c c c c 0
b a b a c 0
b a a a c 0
b c b c a 0
b c a c a 0
a 0 a 0 a 0
a 0 b 0 a 0
a b a b c 0
a b b b c 0
c 0 c 0 c 0
c 0 0 0 c 0
c b c b a 0
c b 0 b a 0
a a a a 0 0
a a b a 0 0
a c a c b 0
a c b c b 0
c a c a b 0
c a 0 a b 0
c c c c 0 0
c c 0 c 0 0

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 1x2 + 9x3 + 10x4 + 10x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_b)3 (X_c)1 + (X_0)3 (X_b)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)2 (X_b)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)3 (X_a)3 + (X_0)2 (X_a)3 (X_c)1 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c

Is it a nice code?: No

Generator Matrix-1202

a 0 a 0 a 0
0 a 0 a a 0
b 0 b 0 b 0
0 b 0 b b 0
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b 0 b b 0
0 b c b b c
b 0 b 0 b 0
b 0 a 0 b c
b b b b 0 0
b b a b 0 c
0 a 0 a a 0
0 a c a a c
0 c 0 c c 0
0 c c c c c
b a b a c 0
b a a a c c
b c b c a 0
b c a c a c
a 0 a 0 a 0
a 0 b 0 a c
a b a b c 0
a b b b c c
c 0 c 0 c 0
c 0 0 0 c c
c b c b a 0
c b 0 b a c
a a a a 0 0
a a b a 0 c
a c a c b 0
a c b c b c
c a c a b 0
c a 0 a b c
c c c c 0 0
c c 0 c 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 7x3 + 6x4 + 13x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)3 (X_a)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c

Is it a nice code?: No

Generator Matrix-1203

a 0 a 0 a 0
0 a 0 a a 0
b 0 b 0 b 0
0 b 0 b b 0
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b 0 b b 0
0 b c b a 0
b 0 b 0 b 0
b 0 a 0 a 0
b b b b 0 0
b b a b c 0
0 a 0 a a 0
0 a c a b 0
0 c 0 c c 0
0 c c c 0 0
b a b a c 0
b a a a 0 0
b c b c a 0
b c a c b 0
a 0 a 0 a 0
a 0 b 0 b 0
a b a b c 0
a b b b 0 0
c 0 c 0 c 0
c 0 0 0 0 0
c b c b a 0
c b 0 b b 0
a a a a 0 0
a a b a c 0
a c a c b 0
a c b c a 0
c a c a b 0
c a 0 a a 0
c c c c 0 0
c c 0 c c 0

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 1x2 + 9x3 + 10x4 + 10x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_b)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)3 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)3 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c

Is it a nice code?: No

Generator Matrix-1204

a 0 a 0 a 0
0 a 0 a a 0
b 0 b 0 b 0
0 b 0 b b 0
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b 0 b b 0
0 b c b a c
b 0 b 0 b 0
b 0 a 0 a c
b b b b 0 0
b b a b c c
0 a 0 a a 0
0 a c a b c
0 c 0 c c 0
0 c c c 0 c
b a b a c 0
b a a a 0 c
b c b c a 0
b c a c b c
a 0 a 0 a 0
a 0 b 0 b c
a b a b c 0
a b b b 0 c
c 0 c 0 c 0
c 0 0 0 0 c
c b c b a 0
c b 0 b b c
a a a a 0 0
a a b a c c
a c a c b 0
a c b c a c
c a c a b 0
c a 0 a a c
c c c c 0 0
c c 0 c c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 7x3 + 6x4 + 13x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_b)4 + (X_a)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)4 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c

Is it a nice code?: No

Generator Matrix-1205

a 0 a 0 a 0
0 a 0 a a 0
b 0 b 0 b 0
0 b 0 b b 0
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b 0 b b 0
0 b c a b 0
b 0 b 0 b 0
b 0 a c b 0
b b b b 0 0
b b a a 0 0
0 a 0 a a 0
0 a c b a 0
0 c 0 c c 0
0 c c 0 c 0
b a b a c 0
b a a b c 0
b c b c a 0
b c a 0 a 0
a 0 a 0 a 0
a 0 b c a 0
a b a b c 0
a b b a c 0
c 0 c 0 c 0
c 0 0 c c 0
c b c b a 0
c b 0 a a 0
a a a a 0 0
a a b b 0 0
a c a c b 0
a c b 0 b 0
c a c a b 0
c a 0 b b 0
c c c c 0 0
c c 0 0 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 2x2 + 8x3 + 13x4 + 8x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c

Is it a nice code?: No

Generator Matrix-1206

a 0 a 0 a 0
0 a 0 a a 0
b 0 b 0 b 0
0 b 0 b b 0
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b 0 b b 0
0 b c a b c
b 0 b 0 b 0
b 0 a c b c
b b b b 0 0
b b a a 0 c
0 a 0 a a 0
0 a c b a c
0 c 0 c c 0
0 c c 0 c c
b a b a c 0
b a a b c c
b c b c a 0
b c a 0 a c
a 0 a 0 a 0
a 0 b c a c
a b a b c 0
a b b a c c
c 0 c 0 c 0
c 0 0 c c c
c b c b a 0
c b 0 a a c
a a a a 0 0
a a b b 0 c
a c a c b 0
a c b 0 b c
c a c a b 0
c a 0 b b c
c c c c 0 0
c c 0 0 0 c

dmin: 3
Weight Enumerator: 1x0 + 0x1 + 0x2 + 8x3 + 5x4 + 16x5 + 2x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c

Is it a nice code?: No

Generator Matrix-1207

a 0 a 0 a 0
0 a 0 a a 0
b 0 b 0 b 0
0 b 0 b b 0
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b 0 b b 0
0 b c a a 0
b 0 b 0 b 0
b 0 a c a 0
b b b b 0 0
b b a a c 0
0 a 0 a a 0
0 a c b b 0
0 c 0 c c 0
0 c c 0 0 0
b a b a c 0
b a a b 0 0
b c b c a 0
b c a 0 b 0
a 0 a 0 a 0
a 0 b c b 0
a b a b c 0
a b b a 0 0
c 0 c 0 c 0
c 0 0 c 0 0
c b c b a 0
c b 0 a b 0
a a a a 0 0
a a b b c 0
a c a c b 0
a c b 0 a 0
c a c a b 0
c a 0 b a 0
c c c c 0 0
c c 0 0 c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 2x2 + 8x3 + 13x4 + 8x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c

Is it a nice code?: No

Generator Matrix-1208

a 0 a 0 a 0
0 a 0 a a 0
b 0 b 0 b 0
0 b 0 b b 0
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b 0 b b 0
0 b c a a c
b 0 b 0 b 0
b 0 a c a c
b b b b 0 0
b b a a c c
0 a 0 a a 0
0 a c b b c
0 c 0 c c 0
0 c c 0 0 c
b a b a c 0
b a a b 0 c
b c b c a 0
b c a 0 b c
a 0 a 0 a 0
a 0 b c b c
a b a b c 0
a b b a 0 c
c 0 c 0 c 0
c 0 0 c 0 c
c b c b a 0
c b 0 a b c
a a a a 0 0
a a b b c c
a c a c b 0
a c b 0 a c
c a c a b 0
c a 0 b a c
c c c c 0 0
c c 0 0 c c

dmin: 3
Weight Enumerator: 1x0 + 0x1 + 0x2 + 8x3 + 5x4 + 16x5 + 2x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)3 (X_b)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_b)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_b)4 + (X_a)2 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c

Is it a nice code?: No

Generator Matrix-1209

a 0 a 0 a 0
0 a 0 a a a
b 0 b 0 b 0
0 b 0 b b b
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b 0 b b b
0 b c b b b
b 0 b 0 b 0
b 0 a 0 b 0
b b b b 0 b
b b a b 0 b
0 a 0 a a a
0 a c a a a
0 c 0 c c c
0 c c c c c
b a b a c a
b a a a c a
b c b c a c
b c a c a c
a 0 a 0 a 0
a 0 b 0 a 0
a b a b c b
a b b b c b
c 0 c 0 c 0
c 0 0 0 c 0
c b c b a b
c b 0 b a b
a a a a 0 a
a a b a 0 a
a c a c b c
a c b c b c
c a c a b a
c a 0 a b a
c c c c 0 c
c c 0 c 0 c

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 1x2 + 5x3 + 4x4 + 10x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_b)4 (X_c)1 + (X_0)3 (X_b)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)1 (X_b)5 + (X_0)1 (X_a)1 (X_b)4 + (X_0)2 (X_a)4 + (X_0)1 (X_a)4 (X_c)1 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_a)3 (X_b)2 (X_c)1 + (X_a)4 (X_b)1 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_a)3 + (X_0)3 (X_a)2 (X_b)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)1 (X_b)4 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)4 (X_b)1 + (X_a)2 (X_b)1 (X_c)3 + (X_a)1 (X_b)2 (X_c)3 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1210

a 0 a 0 a 0
0 a 0 a a a
b 0 b 0 b 0
0 b 0 b b b
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b 0 b b b
0 b c b b a
b 0 b 0 b 0
b 0 a 0 b c
b b b b 0 b
b b a b 0 a
0 a 0 a a a
0 a c a a b
0 c 0 c c c
0 c c c c 0
b a b a c a
b a a a c b
b c b c a c
b c a c a 0
a 0 a 0 a 0
a 0 b 0 a c
a b a b c b
a b b b c a
c 0 c 0 c 0
c 0 0 0 c c
c b c b a b
c b 0 b a a
a a a a 0 a
a a b a 0 b
a c a c b c
a c b c b 0
c a c a b a
c a 0 a b b
c c c c 0 c
c c 0 c 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 5x3 + 6x4 + 11x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_b)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_a)3 (X_b)2 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)3 (X_b)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1211

a 0 a 0 a 0
0 a 0 a a a
b 0 b 0 b 0
0 b 0 b b b
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b 0 b b b
0 b c b a b
b 0 b 0 b 0
b 0 a 0 a 0
b b b b 0 b
b b a b c b
0 a 0 a a a
0 a c a b a
0 c 0 c c c
0 c c c 0 c
b a b a c a
b a a a 0 a
b c b c a c
b c a c b c
a 0 a 0 a 0
a 0 b 0 b 0
a b a b c b
a b b b 0 b
c 0 c 0 c 0
c 0 0 0 0 0
c b c b a b
c b 0 b b b
a a a a 0 a
a a b a c a
a c a c b c
a c b c a c
c a c a b a
c a 0 a a a
c c c c 0 c
c c 0 c c c

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 1x2 + 5x3 + 4x4 + 10x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)3 (X_b)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)1 (X_b)5 + (X_a)1 (X_b)4 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)4 (X_b)1 + (X_a)1 (X_b)2 (X_c)3 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)3 + (X_0)3 (X_a)1 (X_b)2 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)4 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_b)4 (X_c)1 + (X_0)1 (X_a)5 + (X_a)4 (X_b)1 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_a)2 (X_b)1 (X_c)3 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)4 (X_c)1 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1212

a 0 a 0 a 0
0 a 0 a a a
b 0 b 0 b 0
0 b 0 b b b
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b 0 b b b
0 b c b a a
b 0 b 0 b 0
b 0 a 0 a c
b b b b 0 b
b b a b c a
0 a 0 a a a
0 a c a b b
0 c 0 c c c
0 c c c 0 0
b a b a c a
b a a a 0 b
b c b c a c
b c a c b 0
a 0 a 0 a 0
a 0 b 0 b c
a b a b c b
a b b b 0 a
c 0 c 0 c 0
c 0 0 0 0 c
c b c b a b
c b 0 b b a
a a a a 0 a
a a b a c b
a c a c b c
a c b c a 0
c a c a b a
c a 0 a a b
c c c c 0 c
c c 0 c c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 5x3 + 6x4 + 11x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_b)5 + (X_a)2 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)5 + (X_a)3 (X_b)2 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1213

a 0 a 0 a 0
0 a 0 a a a
b 0 b 0 b 0
0 b 0 b b b
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b 0 b b b
0 b c a b b
b 0 b 0 b 0
b 0 a c b 0
b b b b 0 b
b b a a 0 b
0 a 0 a a a
0 a c b a a
0 c 0 c c c
0 c c 0 c c
b a b a c a
b a a b c a
b c b c a c
b c a 0 a c
a 0 a 0 a 0
a 0 b c a 0
a b a b c b
a b b a c b
c 0 c 0 c 0
c 0 0 c c 0
c b c b a b
c b 0 a a b
a a a a 0 a
a a b b 0 a
a c a c b c
a c b 0 b c
c a c a b a
c a 0 b b a
c c c c 0 c
c c 0 0 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 5x3 + 6x4 + 11x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_b)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_a)3 (X_b)2 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)3 (X_b)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1214

a 0 a 0 a 0
0 a 0 a a a
b 0 b 0 b 0
0 b 0 b b b
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b 0 b b b
0 b c a b a
b 0 b 0 b 0
b 0 a c b c
b b b b 0 b
b b a a 0 a
0 a 0 a a a
0 a c b a b
0 c 0 c c c
0 c c 0 c 0
b a b a c a
b a a b c b
b c b c a c
b c a 0 a 0
a 0 a 0 a 0
a 0 b c a c
a b a b c b
a b b a c a
c 0 c 0 c 0
c 0 0 c c c
c b c b a b
c b 0 a a a
a a a a 0 a
a a b b 0 b
a c a c b c
a c b 0 b 0
c a c a b a
c a 0 b b b
c c c c 0 c
c c 0 0 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 5x3 + 6x4 + 11x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_b)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_a)3 (X_b)2 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)2 (X_b)3 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)2 (X_b)3 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1215

a 0 a 0 a 0
0 a 0 a a a
b 0 b 0 b 0
0 b 0 b b b
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b 0 b b b
0 b c a a b
b 0 b 0 b 0
b 0 a c a 0
b b b b 0 b
b b a a c b
0 a 0 a a a
0 a c b b a
0 c 0 c c c
0 c c 0 0 c
b a b a c a
b a a b 0 a
b c b c a c
b c a 0 b c
a 0 a 0 a 0
a 0 b c b 0
a b a b c b
a b b a 0 b
c 0 c 0 c 0
c 0 0 c 0 0
c b c b a b
c b 0 a b b
a a a a 0 a
a a b b c a
a c a c b c
a c b 0 a c
c a c a b a
c a 0 b a a
c c c c 0 c
c c 0 0 c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 5x3 + 6x4 + 11x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_b)5 + (X_a)2 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)5 + (X_a)3 (X_b)2 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1216

a 0 a 0 a 0
0 a 0 a a a
b 0 b 0 b 0
0 b 0 b b b
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b 0 b b b
0 b c a a a
b 0 b 0 b 0
b 0 a c a c
b b b b 0 b
b b a a c a
0 a 0 a a a
0 a c b b b
0 c 0 c c c
0 c c 0 0 0
b a b a c a
b a a b 0 b
b c b c a c
b c a 0 b 0
a 0 a 0 a 0
a 0 b c b c
a b a b c b
a b b a 0 a
c 0 c 0 c 0
c 0 0 c 0 c
c b c b a b
c b 0 a b a
a a a a 0 a
a a b b c b
a c a c b c
a c b 0 a 0
c a c a b a
c a 0 b a b
c c c c 0 c
c c 0 0 c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 5x3 + 6x4 + 11x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)2 (X_b)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)3 (X_b)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_b)5 + (X_a)3 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)5 + (X_a)2 (X_b)3 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1217

a 0 a 0 a a
0 a 0 0 0 0
b 0 b 0 b b
0 b 0 0 0 0
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b 0 0 0 0
0 b c 0 0 0
b 0 b 0 b b
b 0 a 0 b b
b b b 0 b b
b b a 0 b b
0 a 0 0 0 0
0 a c 0 0 0
0 c 0 0 0 0
0 c c 0 0 0
b a b 0 b b
b a a 0 b b
b c b 0 b b
b c a 0 b b
a 0 a 0 a a
a 0 b 0 a a
a b a 0 a a
a b b 0 a a
c 0 c 0 c c
c 0 0 0 c c
c b c 0 c c
c b 0 0 c c
a a a 0 a a
a a b 0 a a
a c a 0 a a
a c b 0 a a
c a c 0 c c
c a 0 0 c c
c c c 0 c c
c c 0 0 c c

dmin: 1
Weight Enumerator: 1x0 + 4x1 + 3x2 + 1x3 + 8x4 + 15x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)5 (X_b)1 + (X_0)4 (X_b)1 (X_c)1 + (X_0)2 (X_b)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_b)5 + (X_0)1 (X_a)1 (X_b)4 + (X_0)5 (X_a)1 + (X_0)4 (X_a)1 (X_c)1 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)1 (X_a)1 (X_b)4 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_b)4 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)4 (X_b)1 + (X_0)1 (X_a)3 (X_b)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_b)1 (X_c)4 + (X_0)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)5 + (X_0)1 (X_a)4 (X_b)1 + (X_0)1 (X_a)4 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_c)4 + (X_0)2 (X_a)1 (X_c)3 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0

Is it a nice code?: No

Generator Matrix-1218

a 0 a 0 a a
0 a 0 0 0 0
b 0 b 0 b b
0 b 0 0 0 0
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b 0 0 0 0
0 b c 0 0 c
b 0 b 0 b b
b 0 a 0 b a
b b b 0 b b
b b a 0 b a
0 a 0 0 0 0
0 a c 0 0 c
0 c 0 0 0 0
0 c c 0 0 c
b a b 0 b b
b a a 0 b a
b c b 0 b b
b c a 0 b a
a 0 a 0 a a
a 0 b 0 a b
a b a 0 a a
a b b 0 a b
c 0 c 0 c c
c 0 0 0 c 0
c b c 0 c c
c b 0 0 c 0
a a a 0 a a
a a b 0 a b
a c a 0 a a
a c b 0 a b
c a c 0 c c
c a 0 0 c 0
c c c 0 c c
c c 0 0 c 0

dmin: 1
Weight Enumerator: 1x0 + 3x1 + 2x2 + 6x3 + 5x4 + 15x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)5 (X_b)1 + (X_0)3 (X_b)1 (X_c)2 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_b)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)5 (X_a)1 + (X_0)3 (X_a)1 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)4 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_b)4 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)4 (X_b)1 + (X_0)1 (X_a)2 (X_b)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)1 (X_b)1 (X_c)4 + (X_0)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)4 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_c)4 + (X_0)3 (X_a)1 (X_c)2 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0

Is it a nice code?: No

Generator Matrix-1219

a 0 a 0 a a
0 a 0 0 0 0
b 0 b 0 b b
0 b 0 0 0 0
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b 0 0 0 0
0 b c 0 c 0
b 0 b 0 b b
b 0 a 0 a b
b b b 0 b b
b b a 0 a b
0 a 0 0 0 0
0 a c 0 c 0
0 c 0 0 0 0
0 c c 0 c 0
b a b 0 b b
b a a 0 a b
b c b 0 b b
b c a 0 a b
a 0 a 0 a a
a 0 b 0 b a
a b a 0 a a
a b b 0 b a
c 0 c 0 c c
c 0 0 0 0 c
c b c 0 c c
c b 0 0 0 c
a a a 0 a a
a a b 0 b a
a c a 0 a a
a c b 0 b a
c a c 0 c c
c a 0 0 0 c
c c c 0 c c
c c 0 0 0 c

dmin: 1
Weight Enumerator: 1x0 + 3x1 + 2x2 + 6x3 + 5x4 + 15x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)5 (X_b)1 + (X_0)3 (X_b)1 (X_c)2 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_b)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)5 (X_a)1 + (X_0)3 (X_a)1 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)4 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_b)4 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)4 (X_b)1 + (X_0)1 (X_a)2 (X_b)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)1 (X_b)1 (X_c)4 + (X_0)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)4 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_c)4 + (X_0)3 (X_a)1 (X_c)2 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0

Is it a nice code?: No

Generator Matrix-1220

a 0 a 0 a a
0 a 0 0 0 0
b 0 b 0 b b
0 b 0 0 0 0
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b 0 0 0 0
0 b c 0 c c
b 0 b 0 b b
b 0 a 0 a a
b b b 0 b b
b b a 0 a a
0 a 0 0 0 0
0 a c 0 c c
0 c 0 0 0 0
0 c c 0 c c
b a b 0 b b
b a a 0 a a
b c b 0 b b
b c a 0 a a
a 0 a 0 a a
a 0 b 0 b b
a b a 0 a a
a b b 0 b b
c 0 c 0 c c
c 0 0 0 0 0
c b c 0 c c
c b 0 0 0 0
a a a 0 a a
a a b 0 b b
a c a 0 a a
a c b 0 b b
c a c 0 c c
c a 0 0 0 0
c c c 0 c c
c c 0 0 0 0

dmin: 1
Weight Enumerator: 1x0 + 4x1 + 3x2 + 1x3 + 8x4 + 15x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)5 (X_b)1 + (X_0)2 (X_b)1 (X_c)3 + (X_0)2 (X_b)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_b)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)5 (X_a)1 + (X_0)2 (X_a)1 (X_c)3 + (X_0)5 (X_c)1 + (X_0)2 (X_c)4 + (X_0)1 (X_a)1 (X_b)4 + (X_0)1 (X_a)4 (X_b)1 + (X_0)1 (X_b)4 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)4 (X_b)1 + (X_0)1 (X_a)1 (X_b)4 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_0)1 (X_b)1 (X_c)4 + (X_0)4 (X_b)1 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)4 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_c)4 + (X_0)4 (X_a)1 (X_c)1 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0

Is it a nice code?: No

Generator Matrix-1221

a 0 a 0 a a
0 a 0 0 0 0
b 0 b 0 b b
0 b 0 0 0 0
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b 0 0 0 0
0 b c c 0 0
b 0 b 0 b b
b 0 a c b b
b b b 0 b b
b b a c b b
0 a 0 0 0 0
0 a c c 0 0
0 c 0 0 0 0
0 c c c 0 0
b a b 0 b b
b a a c b b
b c b 0 b b
b c a c b b
a 0 a 0 a a
a 0 b c a a
a b a 0 a a
a b b c a a
c 0 c 0 c c
c 0 0 c c c
c b c 0 c c
c b 0 c c c
a a a 0 a a
a a b c a a
a c a 0 a a
a c b c a a
c a c 0 c c
c a 0 c c c
c c c 0 c c
c c 0 c c c

dmin: 1
Weight Enumerator: 1x0 + 3x1 + 1x2 + 3x3 + 4x4 + 14x5 + 6x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)5 (X_b)1 + (X_0)3 (X_b)1 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_b)5 + (X_a)1 (X_b)4 (X_c)1 + (X_0)5 (X_a)1 + (X_0)3 (X_a)1 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)4 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_b)4 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)4 (X_b)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_b)1 (X_c)4 + (X_0)1 (X_b)1 (X_c)4 + (X_0)1 (X_a)5 + (X_a)4 (X_b)1 (X_c)1 + (X_0)1 (X_a)4 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_c)4 + (X_0)1 (X_a)1 (X_c)4 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0

Is it a nice code?: No

Generator Matrix-1222

a 0 a 0 a a
0 a 0 0 0 0
b 0 b 0 b b
0 b 0 0 0 0
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b 0 0 0 0
0 b c c 0 c
b 0 b 0 b b
b 0 a c b a
b b b 0 b b
b b a c b a
0 a 0 0 0 0
0 a c c 0 c
0 c 0 0 0 0
0 c c c 0 c
b a b 0 b b
b a a c b a
b c b 0 b b
b c a c b a
a 0 a 0 a a
a 0 b c a b
a b a 0 a a
a b b c a b
c 0 c 0 c c
c 0 0 c c 0
c b c 0 c c
c b 0 c c 0
a a a 0 a a
a a b c a b
a c a 0 a a
a c b c a b
c a c 0 c c
c a 0 c c 0
c c c 0 c c
c c 0 c c 0

dmin: 1
Weight Enumerator: 1x0 + 3x1 + 0x2 + 2x3 + 9x4 + 11x5 + 6x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)5 (X_b)1 + (X_0)2 (X_b)1 (X_c)3 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_b)5 + (X_a)2 (X_b)3 (X_c)1 + (X_0)5 (X_a)1 + (X_0)2 (X_a)1 (X_c)3 + (X_0)5 (X_c)1 + (X_0)2 (X_c)4 + (X_0)1 (X_a)1 (X_b)4 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_b)4 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)4 (X_b)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_b)1 (X_c)4 + (X_0)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)5 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)4 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_c)4 + (X_0)2 (X_a)1 (X_c)3 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0

Is it a nice code?: No

Generator Matrix-1223

a 0 a 0 a a
0 a 0 0 0 0
b 0 b 0 b b
0 b 0 0 0 0
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b 0 0 0 0
0 b c c c 0
b 0 b 0 b b
b 0 a c a b
b b b 0 b b
b b a c a b
0 a 0 0 0 0
0 a c c c 0
0 c 0 0 0 0
0 c c c c 0
b a b 0 b b
b a a c a b
b c b 0 b b
b c a c a b
a 0 a 0 a a
a 0 b c b a
a b a 0 a a
a b b c b a
c 0 c 0 c c
c 0 0 c 0 c
c b c 0 c c
c b 0 c 0 c
a a a 0 a a
a a b c b a
a c a 0 a a
a c b c b a
c a c 0 c c
c a 0 c 0 c
c c c 0 c c
c c 0 c 0 c

dmin: 1
Weight Enumerator: 1x0 + 3x1 + 0x2 + 2x3 + 9x4 + 11x5 + 6x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)5 (X_b)1 + (X_0)2 (X_b)1 (X_c)3 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_b)5 + (X_a)2 (X_b)3 (X_c)1 + (X_0)5 (X_a)1 + (X_0)2 (X_a)1 (X_c)3 + (X_0)5 (X_c)1 + (X_0)2 (X_c)4 + (X_0)1 (X_a)1 (X_b)4 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_b)4 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)4 (X_b)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_b)1 (X_c)4 + (X_0)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)5 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)4 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_c)4 + (X_0)2 (X_a)1 (X_c)3 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0

Is it a nice code?: No

Generator Matrix-1224

a 0 a 0 a a
0 a 0 0 0 0
b 0 b 0 b b
0 b 0 0 0 0
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b 0 0 0 0
0 b c c c c
b 0 b 0 b b
b 0 a c a a
b b b 0 b b
b b a c a a
0 a 0 0 0 0
0 a c c c c
0 c 0 0 0 0
0 c c c c c
b a b 0 b b
b a a c a a
b c b 0 b b
b c a c a a
a 0 a 0 a a
a 0 b c b b
a b a 0 a a
a b b c b b
c 0 c 0 c c
c 0 0 c 0 0
c b c 0 c c
c b 0 c 0 0
a a a 0 a a
a a b c b b
a c a 0 a a
a c b c b b
c a c 0 c c
c a 0 c 0 0
c c c 0 c c
c c 0 c 0 0

dmin: 1
Weight Enumerator: 1x0 + 3x1 + 1x2 + 3x3 + 4x4 + 14x5 + 6x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)5 (X_b)1 + (X_0)1 (X_b)1 (X_c)4 + (X_0)2 (X_b)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_b)5 + (X_a)3 (X_b)2 (X_c)1 + (X_0)5 (X_a)1 + (X_0)1 (X_a)1 (X_c)4 + (X_0)5 (X_c)1 + (X_0)1 (X_c)5 + (X_0)1 (X_a)1 (X_b)4 + (X_a)4 (X_b)1 (X_c)1 + (X_0)1 (X_b)4 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)4 (X_b)1 + (X_a)1 (X_b)4 (X_c)1 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)1 (X_b)1 (X_c)4 + (X_0)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)5 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)4 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)1 (X_c)4 + (X_0)3 (X_a)1 (X_c)2 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0

Is it a nice code?: No

Generator Matrix-1225

a 0 a 0 a a
0 a 0 0 0 a
b 0 b 0 b b
0 b 0 0 0 b
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b 0 0 0 b
0 b c 0 0 b
b 0 b 0 b b
b 0 a 0 b b
b b b 0 b 0
b b a 0 b 0
0 a 0 0 0 a
0 a c 0 0 a
0 c 0 0 0 c
0 c c 0 0 c
b a b 0 b c
b a a 0 b c
b c b 0 b a
b c a 0 b a
a 0 a 0 a a
a 0 b 0 a a
a b a 0 a c
a b b 0 a c
c 0 c 0 c c
c 0 0 0 c c
c b c 0 c a
c b 0 0 c a
a a a 0 a 0
a a b 0 a 0
a c a 0 a b
a c b 0 a b
c a c 0 c b
c a 0 0 c b
c c c 0 c 0
c c 0 0 c 0

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 3x2 + 5x3 + 12x4 + 10x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)4 (X_b)2 + (X_0)3 (X_b)2 (X_c)1 + (X_0)2 (X_b)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)2 (X_b)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)4 (X_a)2 + (X_0)3 (X_a)2 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0

Is it a nice code?: No

Generator Matrix-1226

a 0 a 0 a a
0 a 0 0 0 a
b 0 b 0 b b
0 b 0 0 0 b
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b 0 0 0 b
0 b c 0 0 a
b 0 b 0 b b
b 0 a 0 b a
b b b 0 b 0
b b a 0 b c
0 a 0 0 0 a
0 a c 0 0 b
0 c 0 0 0 c
0 c c 0 0 0
b a b 0 b c
b a a 0 b 0
b c b 0 b a
b c a 0 b b
a 0 a 0 a a
a 0 b 0 a b
a b a 0 a c
a b b 0 a 0
c 0 c 0 c c
c 0 0 0 c 0
c b c 0 c a
c b 0 0 c b
a a a 0 a 0
a a b 0 a c
a c a 0 a b
a c b 0 a a
c a c 0 c b
c a 0 0 c a
c c c 0 c 0
c c 0 0 c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 6x2 + 2x3 + 13x4 + 10x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_b)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)4 (X_a)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0

Is it a nice code?: No

Generator Matrix-1227

a 0 a 0 a a
0 a 0 0 0 a
b 0 b 0 b b
0 b 0 0 0 b
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b 0 0 0 b
0 b c 0 c b
b 0 b 0 b b
b 0 a 0 a b
b b b 0 b 0
b b a 0 a 0
0 a 0 0 0 a
0 a c 0 c a
0 c 0 0 0 c
0 c c 0 c c
b a b 0 b c
b a a 0 a c
b c b 0 b a
b c a 0 a a
a 0 a 0 a a
a 0 b 0 b a
a b a 0 a c
a b b 0 b c
c 0 c 0 c c
c 0 0 0 0 c
c b c 0 c a
c b 0 0 0 a
a a a 0 a 0
a a b 0 b 0
a c a 0 a b
a c b 0 b b
c a c 0 c b
c a 0 0 0 b
c c c 0 c 0
c c 0 0 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 6x2 + 2x3 + 13x4 + 10x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0

Is it a nice code?: No

Generator Matrix-1228

a 0 a 0 a a
0 a 0 0 0 a
b 0 b 0 b b
0 b 0 0 0 b
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b 0 0 0 b
0 b c 0 c a
b 0 b 0 b b
b 0 a 0 a a
b b b 0 b 0
b b a 0 a c
0 a 0 0 0 a
0 a c 0 c b
0 c 0 0 0 c
0 c c 0 c 0
b a b 0 b c
b a a 0 a 0
b c b 0 b a
b c a 0 a b
a 0 a 0 a a
a 0 b 0 b b
a b a 0 a c
a b b 0 b 0
c 0 c 0 c c
c 0 0 0 0 0
c b c 0 c a
c b 0 0 0 b
a a a 0 a 0
a a b 0 b c
a c a 0 a b
a c b 0 b a
c a c 0 c b
c a 0 0 0 a
c c c 0 c 0
c c 0 0 0 c

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 3x2 + 5x3 + 12x4 + 10x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_b)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)3 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_a)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0

Is it a nice code?: No

Generator Matrix-1229

a 0 a 0 a a
0 a 0 0 0 a
b 0 b 0 b b
0 b 0 0 0 b
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b 0 0 0 b
0 b c c 0 b
b 0 b 0 b b
b 0 a c b b
b b b 0 b 0
b b a c b 0
0 a 0 0 0 a
0 a c c 0 a
0 c 0 0 0 c
0 c c c 0 c
b a b 0 b c
b a a c b c
b c b 0 b a
b c a c b a
a 0 a 0 a a
a 0 b c a a
a b a 0 a c
a b b c a c
c 0 c 0 c c
c 0 0 c c c
c b c 0 c a
c b 0 c c a
a a a 0 a 0
a a b c a 0
a c a 0 a b
a c b c a b
c a c 0 c b
c a 0 c c b
c c c 0 c 0
c c 0 c c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 0x3 + 11x4 + 12x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0

Is it a nice code?: No

Generator Matrix-1230

a 0 a 0 a a
0 a 0 0 0 a
b 0 b 0 b b
0 b 0 0 0 b
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b 0 0 0 b
0 b c c 0 a
b 0 b 0 b b
b 0 a c b a
b b b 0 b 0
b b a c b c
0 a 0 0 0 a
0 a c c 0 b
0 c 0 0 0 c
0 c c c 0 0
b a b 0 b c
b a a c b 0
b c b 0 b a
b c a c b b
a 0 a 0 a a
a 0 b c a b
a b a 0 a c
a b b c a 0
c 0 c 0 c c
c 0 0 c c 0
c b c 0 c a
c b 0 c c b
a a a 0 a 0
a a b c a c
a c a 0 a b
a c b c a a
c a c 0 c b
c a 0 c c a
c c c 0 c 0
c c 0 c c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 3x3 + 8x4 + 13x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_b)4 + (X_a)1 (X_b)3 (X_c)2 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)4 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)2 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0

Is it a nice code?: No

Generator Matrix-1231

a 0 a 0 a a
0 a 0 0 0 a
b 0 b 0 b b
0 b 0 0 0 b
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b 0 0 0 b
0 b c c c b
b 0 b 0 b b
b 0 a c a b
b b b 0 b 0
b b a c a 0
0 a 0 0 0 a
0 a c c c a
0 c 0 0 0 c
0 c c c c c
b a b 0 b c
b a a c a c
b c b 0 b a
b c a c a a
a 0 a 0 a a
a 0 b c b a
a b a 0 a c
a b b c b c
c 0 c 0 c c
c 0 0 c 0 c
c b c 0 c a
c b 0 c 0 a
a a a 0 a 0
a a b c b 0
a c a 0 a b
a c b c b b
c a c 0 c b
c a 0 c 0 b
c c c 0 c 0
c c 0 c 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 3x3 + 8x4 + 13x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)4 (X_b)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)4 (X_a)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0

Is it a nice code?: No

Generator Matrix-1232

a 0 a 0 a a
0 a 0 0 0 a
b 0 b 0 b b
0 b 0 0 0 b
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b 0 0 0 b
0 b c c c a
b 0 b 0 b b
b 0 a c a a
b b b 0 b 0
b b a c a c
0 a 0 0 0 a
0 a c c c b
0 c 0 0 0 c
0 c c c c 0
b a b 0 b c
b a a c a 0
b c b 0 b a
b c a c a b
a 0 a 0 a a
a 0 b c b b
a b a 0 a c
a b b c b 0
c 0 c 0 c c
c 0 0 c 0 0
c b c 0 c a
c b 0 c 0 b
a a a 0 a 0
a a b c b c
a c a 0 a b
a c b c b a
c a c 0 c b
c a 0 c 0 a
c c c 0 c 0
c c 0 c 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 0x3 + 11x4 + 12x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)4 (X_b)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_b)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_b)4 + (X_a)2 (X_b)2 (X_c)2 + (X_0)4 (X_a)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0

Is it a nice code?: No

Generator Matrix-1233

a 0 a 0 a a
0 a 0 0 a 0
b 0 b 0 b b
0 b 0 0 b 0
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b 0 0 b 0
0 b c 0 b 0
b 0 b 0 b b
b 0 a 0 b b
b b b 0 0 b
b b a 0 0 b
0 a 0 0 a 0
0 a c 0 a 0
0 c 0 0 c 0
0 c c 0 c 0
b a b 0 c b
b a a 0 c b
b c b 0 a b
b c a 0 a b
a 0 a 0 a a
a 0 b 0 a a
a b a 0 c a
a b b 0 c a
c 0 c 0 c c
c 0 0 0 c c
c b c 0 a c
c b 0 0 a c
a a a 0 0 a
a a b 0 0 a
a c a 0 b a
a c b 0 b a
c a c 0 b c
c a 0 0 b c
c c c 0 0 c
c c 0 0 0 c

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 3x2 + 5x3 + 12x4 + 10x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)4 (X_b)2 + (X_0)3 (X_b)2 (X_c)1 + (X_0)2 (X_b)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)2 (X_b)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)4 (X_a)2 + (X_0)3 (X_a)2 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0

Is it a nice code?: No

Generator Matrix-1234

a 0 a 0 a a
0 a 0 0 a 0
b 0 b 0 b b
0 b 0 0 b 0
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b 0 0 b 0
0 b c 0 b c
b 0 b 0 b b
b 0 a 0 b a
b b b 0 0 b
b b a 0 0 a
0 a 0 0 a 0
0 a c 0 a c
0 c 0 0 c 0
0 c c 0 c c
b a b 0 c b
b a a 0 c a
b c b 0 a b
b c a 0 a a
a 0 a 0 a a
a 0 b 0 a b
a b a 0 c a
a b b 0 c b
c 0 c 0 c c
c 0 0 0 c 0
c b c 0 a c
c b 0 0 a 0
a a a 0 0 a
a a b 0 0 b
a c a 0 b a
a c b 0 b b
c a c 0 b c
c a 0 0 b 0
c c c 0 0 c
c c 0 0 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 6x2 + 2x3 + 13x4 + 10x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0

Is it a nice code?: No

Generator Matrix-1235

a 0 a 0 a a
0 a 0 0 a 0
b 0 b 0 b b
0 b 0 0 b 0
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b 0 0 b 0
0 b c 0 a 0
b 0 b 0 b b
b 0 a 0 a b
b b b 0 0 b
b b a 0 c b
0 a 0 0 a 0
0 a c 0 b 0
0 c 0 0 c 0
0 c c 0 0 0
b a b 0 c b
b a a 0 0 b
b c b 0 a b
b c a 0 b b
a 0 a 0 a a
a 0 b 0 b a
a b a 0 c a
a b b 0 0 a
c 0 c 0 c c
c 0 0 0 0 c
c b c 0 a c
c b 0 0 b c
a a a 0 0 a
a a b 0 c a
a c a 0 b a
a c b 0 a a
c a c 0 b c
c a 0 0 a c
c c c 0 0 c
c c 0 0 c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 6x2 + 2x3 + 13x4 + 10x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_b)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)4 (X_a)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0

Is it a nice code?: No

Generator Matrix-1236

a 0 a 0 a a
0 a 0 0 a 0
b 0 b 0 b b
0 b 0 0 b 0
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b 0 0 b 0
0 b c 0 a c
b 0 b 0 b b
b 0 a 0 a a
b b b 0 0 b
b b a 0 c a
0 a 0 0 a 0
0 a c 0 b c
0 c 0 0 c 0
0 c c 0 0 c
b a b 0 c b
b a a 0 0 a
b c b 0 a b
b c a 0 b a
a 0 a 0 a a
a 0 b 0 b b
a b a 0 c a
a b b 0 0 b
c 0 c 0 c c
c 0 0 0 0 0
c b c 0 a c
c b 0 0 b 0
a a a 0 0 a
a a b 0 c b
a c a 0 b a
a c b 0 a b
c a c 0 b c
c a 0 0 a 0
c c c 0 0 c
c c 0 0 c 0

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 3x2 + 5x3 + 12x4 + 10x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_b)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)3 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_a)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0

Is it a nice code?: No

Generator Matrix-1237

a 0 a 0 a a
0 a 0 0 a 0
b 0 b 0 b b
0 b 0 0 b 0
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b 0 0 b 0
0 b c c b 0
b 0 b 0 b b
b 0 a c b b
b b b 0 0 b
b b a c 0 b
0 a 0 0 a 0
0 a c c a 0
0 c 0 0 c 0
0 c c c c 0
b a b 0 c b
b a a c c b
b c b 0 a b
b c a c a b
a 0 a 0 a a
a 0 b c a a
a b a 0 c a
a b b c c a
c 0 c 0 c c
c 0 0 c c c
c b c 0 a c
c b 0 c a c
a a a 0 0 a
a a b c 0 a
a c a 0 b a
a c b c b a
c a c 0 b c
c a 0 c b c
c c c 0 0 c
c c 0 c 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 0x3 + 11x4 + 12x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0

Is it a nice code?: No

Generator Matrix-1238

a 0 a 0 a a
0 a 0 0 a 0
b 0 b 0 b b
0 b 0 0 b 0
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b 0 0 b 0
0 b c c b c
b 0 b 0 b b
b 0 a c b a
b b b 0 0 b
b b a c 0 a
0 a 0 0 a 0
0 a c c a c
0 c 0 0 c 0
0 c c c c c
b a b 0 c b
b a a c c a
b c b 0 a b
b c a c a a
a 0 a 0 a a
a 0 b c a b
a b a 0 c a
a b b c c b
c 0 c 0 c c
c 0 0 c c 0
c b c 0 a c
c b 0 c a 0
a a a 0 0 a
a a b c 0 b
a c a 0 b a
a c b c b b
c a c 0 b c
c a 0 c b 0
c c c 0 0 c
c c 0 c 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 3x3 + 8x4 + 13x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)4 (X_b)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)4 (X_a)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0

Is it a nice code?: No

Generator Matrix-1239

a 0 a 0 a a
0 a 0 0 a 0
b 0 b 0 b b
0 b 0 0 b 0
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b 0 0 b 0
0 b c c a 0
b 0 b 0 b b
b 0 a c a b
b b b 0 0 b
b b a c c b
0 a 0 0 a 0
0 a c c b 0
0 c 0 0 c 0
0 c c c 0 0
b a b 0 c b
b a a c 0 b
b c b 0 a b
b c a c b b
a 0 a 0 a a
a 0 b c b a
a b a 0 c a
a b b c 0 a
c 0 c 0 c c
c 0 0 c 0 c
c b c 0 a c
c b 0 c b c
a a a 0 0 a
a a b c c a
a c a 0 b a
a c b c a a
c a c 0 b c
c a 0 c a c
c c c 0 0 c
c c 0 c c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 3x3 + 8x4 + 13x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_b)4 + (X_a)1 (X_b)3 (X_c)2 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)4 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)2 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0

Is it a nice code?: No

Generator Matrix-1240

a 0 a 0 a a
0 a 0 0 a 0
b 0 b 0 b b
0 b 0 0 b 0
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b 0 0 b 0
0 b c c a c
b 0 b 0 b b
b 0 a c a a
b b b 0 0 b
b b a c c a
0 a 0 0 a 0
0 a c c b c
0 c 0 0 c 0
0 c c c 0 c
b a b 0 c b
b a a c 0 a
b c b 0 a b
b c a c b a
a 0 a 0 a a
a 0 b c b b
a b a 0 c a
a b b c 0 b
c 0 c 0 c c
c 0 0 c 0 0
c b c 0 a c
c b 0 c b 0
a a a 0 0 a
a a b c c b
a c a 0 b a
a c b c a b
c a c 0 b c
c a 0 c a 0
c c c 0 0 c
c c 0 c c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 0x3 + 11x4 + 12x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)4 (X_b)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_b)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_b)4 + (X_a)2 (X_b)2 (X_c)2 + (X_0)4 (X_a)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0

Is it a nice code?: No

Generator Matrix-1241

a 0 a 0 a a
0 a 0 0 a a
b 0 b 0 b b
0 b 0 0 b b
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b 0 0 b b
0 b c 0 b b
b 0 b 0 b b
b 0 a 0 b b
b b b 0 0 0
b b a 0 0 0
0 a 0 0 a a
0 a c 0 a a
0 c 0 0 c c
0 c c 0 c c
b a b 0 c c
b a a 0 c c
b c b 0 a a
b c a 0 a a
a 0 a 0 a a
a 0 b 0 a a
a b a 0 c c
a b b 0 c c
c 0 c 0 c c
c 0 0 0 c c
c b c 0 a a
c b 0 0 a a
a a a 0 0 0
a a b 0 0 0
a c a 0 b b
a c b 0 b b
c a c 0 b b
c a 0 0 b b
c c c 0 0 0
c c 0 0 0 0

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 1x2 + 9x3 + 10x4 + 10x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_b)3 (X_c)1 + (X_0)2 (X_b)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)3 (X_b)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)3 (X_c)1 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_a)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0

Is it a nice code?: No

Generator Matrix-1242

a 0 a 0 a a
0 a 0 0 a a
b 0 b 0 b b
0 b 0 0 b b
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b 0 0 b b
0 b c 0 b a
b 0 b 0 b b
b 0 a 0 b a
b b b 0 0 0
b b a 0 0 c
0 a 0 0 a a
0 a c 0 a b
0 c 0 0 c c
0 c c 0 c 0
b a b 0 c c
b a a 0 c 0
b c b 0 a a
b c a 0 a b
a 0 a 0 a a
a 0 b 0 a b
a b a 0 c c
a b b 0 c 0
c 0 c 0 c c
c 0 0 0 c 0
c b c 0 a a
c b 0 0 a b
a a a 0 0 0
a a b 0 0 c
a c a 0 b b
a c b 0 b a
c a c 0 b b
c a 0 0 b a
c c c 0 0 0
c c 0 0 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 2x2 + 8x3 + 13x4 + 8x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0

Is it a nice code?: No

Generator Matrix-1243

a 0 a 0 a a
0 a 0 0 a a
b 0 b 0 b b
0 b 0 0 b b
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b 0 0 b b
0 b c 0 a b
b 0 b 0 b b
b 0 a 0 a b
b b b 0 0 0
b b a 0 c 0
0 a 0 0 a a
0 a c 0 b a
0 c 0 0 c c
0 c c 0 0 c
b a b 0 c c
b a a 0 0 c
b c b 0 a a
b c a 0 b a
a 0 a 0 a a
a 0 b 0 b a
a b a 0 c c
a b b 0 0 c
c 0 c 0 c c
c 0 0 0 0 c
c b c 0 a a
c b 0 0 b a
a a a 0 0 0
a a b 0 c 0
a c a 0 b b
a c b 0 a b
c a c 0 b b
c a 0 0 a b
c c c 0 0 0
c c 0 0 c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 2x2 + 8x3 + 13x4 + 8x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0

Is it a nice code?: No

Generator Matrix-1244

a 0 a 0 a a
0 a 0 0 a a
b 0 b 0 b b
0 b 0 0 b b
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b 0 0 b b
0 b c 0 a a
b 0 b 0 b b
b 0 a 0 a a
b b b 0 0 0
b b a 0 c c
0 a 0 0 a a
0 a c 0 b b
0 c 0 0 c c
0 c c 0 0 0
b a b 0 c c
b a a 0 0 0
b c b 0 a a
b c a 0 b b
a 0 a 0 a a
a 0 b 0 b b
a b a 0 c c
a b b 0 0 0
c 0 c 0 c c
c 0 0 0 0 0
c b c 0 a a
c b 0 0 b b
a a a 0 0 0
a a b 0 c c
a c a 0 b b
a c b 0 a a
c a c 0 b b
c a 0 0 a a
c c c 0 0 0
c c 0 0 c c

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 1x2 + 9x3 + 10x4 + 10x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_b)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)2 (X_b)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)1 (X_b)2 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_b)3 (X_c)1 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)3 (X_c)1 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0

Is it a nice code?: No

Generator Matrix-1245

a 0 a 0 a a
0 a 0 0 a a
b 0 b 0 b b
0 b 0 0 b b
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b 0 0 b b
0 b c c b b
b 0 b 0 b b
b 0 a c b b
b b b 0 0 0
b b a c 0 0
0 a 0 0 a a
0 a c c a a
0 c 0 0 c c
0 c c c c c
b a b 0 c c
b a a c c c
b c b 0 a a
b c a c a a
a 0 a 0 a a
a 0 b c a a
a b a 0 c c
a b b c c c
c 0 c 0 c c
c 0 0 c c c
c b c 0 a a
c b 0 c a a
a a a 0 0 0
a a b c 0 0
a c a 0 b b
a c b c b b
c a c 0 b b
c a 0 c b b
c c c 0 0 0
c c 0 c 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 7x3 + 6x4 + 13x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0

Is it a nice code?: No

Generator Matrix-1246

a 0 a 0 a a
0 a 0 0 a a
b 0 b 0 b b
0 b 0 0 b b
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b 0 0 b b
0 b c c b a
b 0 b 0 b b
b 0 a c b a
b b b 0 0 0
b b a c 0 c
0 a 0 0 a a
0 a c c a b
0 c 0 0 c c
0 c c c c 0
b a b 0 c c
b a a c c 0
b c b 0 a a
b c a c a b
a 0 a 0 a a
a 0 b c a b
a b a 0 c c
a b b c c 0
c 0 c 0 c c
c 0 0 c c 0
c b c 0 a a
c b 0 c a b
a a a 0 0 0
a a b c 0 c
a c a 0 b b
a c b c b a
c a c 0 b b
c a 0 c b a
c c c 0 0 0
c c 0 c 0 c

dmin: 3
Weight Enumerator: 1x0 + 0x1 + 0x2 + 8x3 + 5x4 + 16x5 + 2x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0

Is it a nice code?: No

Generator Matrix-1247

a 0 a 0 a a
0 a 0 0 a a
b 0 b 0 b b
0 b 0 0 b b
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b 0 0 b b
0 b c c a b
b 0 b 0 b b
b 0 a c a b
b b b 0 0 0
b b a c c 0
0 a 0 0 a a
0 a c c b a
0 c 0 0 c c
0 c c c 0 c
b a b 0 c c
b a a c 0 c
b c b 0 a a
b c a c b a
a 0 a 0 a a
a 0 b c b a
a b a 0 c c
a b b c 0 c
c 0 c 0 c c
c 0 0 c 0 c
c b c 0 a a
c b 0 c b a
a a a 0 0 0
a a b c c 0
a c a 0 b b
a c b c a b
c a c 0 b b
c a 0 c a b
c c c 0 0 0
c c 0 c c 0

dmin: 3
Weight Enumerator: 1x0 + 0x1 + 0x2 + 8x3 + 5x4 + 16x5 + 2x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0

Is it a nice code?: No

Generator Matrix-1248

a 0 a 0 a a
0 a 0 0 a a
b 0 b 0 b b
0 b 0 0 b b
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b 0 0 b b
0 b c c a a
b 0 b 0 b b
b 0 a c a a
b b b 0 0 0
b b a c c c
0 a 0 0 a a
0 a c c b b
0 c 0 0 c c
0 c c c 0 0
b a b 0 c c
b a a c 0 0
b c b 0 a a
b c a c b b
a 0 a 0 a a
a 0 b c b b
a b a 0 c c
a b b c 0 0
c 0 c 0 c c
c 0 0 c 0 0
c b c 0 a a
c b 0 c b b
a a a 0 0 0
a a b c c c
a c a 0 b b
a c b c a a
c a c 0 b b
c a 0 c a a
c c c 0 0 0
c c 0 c c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 7x3 + 6x4 + 13x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)3 (X_b)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)3 (X_b)3 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)3 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0

Is it a nice code?: No

Generator Matrix-1249

a 0 a 0 a a
0 a 0 a 0 0
b 0 b 0 b b
0 b 0 b 0 0
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b 0 b 0 0
0 b c b 0 0
b 0 b 0 b b
b 0 a 0 b b
b b b b b b
b b a b b b
0 a 0 a 0 0
0 a c a 0 0
0 c 0 c 0 0
0 c c c 0 0
b a b a b b
b a a a b b
b c b c b b
b c a c b b
a 0 a 0 a a
a 0 b 0 a a
a b a b a a
a b b b a a
c 0 c 0 c c
c 0 0 0 c c
c b c b c c
c b 0 b c c
a a a a a a
a a b a a a
a c a c a a
a c b c a a
c a c a c c
c a 0 a c c
c c c c c c
c c 0 c c c

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 3x2 + 4x3 + 5x4 + 3x5 + 15x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)4 (X_b)2 + (X_0)3 (X_b)2 (X_c)1 + (X_0)2 (X_b)4 + (X_0)2 (X_a)1 (X_b)3 + (X_b)6 + (X_a)1 (X_b)5 + (X_0)4 (X_a)2 + (X_0)3 (X_a)2 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_a)2 (X_b)4 + (X_a)3 (X_b)3 + (X_b)4 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)4 + (X_0)2 (X_a)3 (X_b)1 + (X_a)4 (X_b)2 + (X_a)3 (X_b)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_b)2 (X_c)4 + (X_0)1 (X_b)2 (X_c)3 + (X_a)6 + (X_a)5 (X_b)1 + (X_a)4 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_a)2 (X_c)4 + (X_0)1 (X_a)2 (X_c)3 + (X_c)6 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1250

a 0 a 0 a a
0 a 0 a 0 0
b 0 b 0 b b
0 b 0 b 0 0
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b 0 b 0 0
0 b c b 0 c
b 0 b 0 b b
b 0 a 0 b a
b b b b b b
b b a b b a
0 a 0 a 0 0
0 a c a 0 c
0 c 0 c 0 0
0 c c c 0 c
b a b a b b
b a a a b a
b c b c b b
b c a c b a
a 0 a 0 a a
a 0 b 0 a b
a b a b a a
a b b b a b
c 0 c 0 c c
c 0 0 0 c 0
c b c b c c
c b 0 b c 0
a a a a a a
a a b a a b
a c a c a a
a c b c a b
c a c a c c
c a 0 a c 0
c c c c c c
c c 0 c c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 5x2 + 0x3 + 11x4 + 0x5 + 15x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_b)6 + (X_a)2 (X_b)4 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_a)2 (X_b)4 + (X_a)4 (X_b)2 + (X_b)4 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_a)4 (X_b)2 + (X_a)2 (X_b)4 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_b)2 (X_c)4 + (X_0)2 (X_b)2 (X_c)2 + (X_a)6 + (X_a)4 (X_b)2 + (X_a)4 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_a)2 (X_c)4 + (X_0)2 (X_a)2 (X_c)2 + (X_c)6 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1251

a 0 a 0 a a
0 a 0 a 0 0
b 0 b 0 b b
0 b 0 b 0 0
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b 0 b 0 0
0 b c b c 0
b 0 b 0 b b
b 0 a 0 a b
b b b b b b
b b a b a b
0 a 0 a 0 0
0 a c a c 0
0 c 0 c 0 0
0 c c c c 0
b a b a b b
b a a a a b
b c b c b b
b c a c a b
a 0 a 0 a a
a 0 b 0 b a
a b a b a a
a b b b b a
c 0 c 0 c c
c 0 0 0 0 c
c b c b c c
c b 0 b 0 c
a a a a a a
a a b a b a
a c a c a a
a c b c b a
c a c a c c
c a 0 a 0 c
c c c c c c
c c 0 c 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 5x2 + 0x3 + 11x4 + 0x5 + 15x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_b)6 + (X_a)2 (X_b)4 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_a)2 (X_b)4 + (X_a)4 (X_b)2 + (X_b)4 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_a)4 (X_b)2 + (X_a)2 (X_b)4 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_b)2 (X_c)4 + (X_0)2 (X_b)2 (X_c)2 + (X_a)6 + (X_a)4 (X_b)2 + (X_a)4 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_a)2 (X_c)4 + (X_0)2 (X_a)2 (X_c)2 + (X_c)6 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1252

a 0 a 0 a a
0 a 0 a 0 0
b 0 b 0 b b
0 b 0 b 0 0
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b 0 b 0 0
0 b c b c c
b 0 b 0 b b
b 0 a 0 a a
b b b b b b
b b a b a a
0 a 0 a 0 0
0 a c a c c
0 c 0 c 0 0
0 c c c c c
b a b a b b
b a a a a a
b c b c b b
b c a c a a
a 0 a 0 a a
a 0 b 0 b b
a b a b a a
a b b b b b
c 0 c 0 c c
c 0 0 0 0 0
c b c b c c
c b 0 b 0 0
a a a a a a
a a b a b b
a c a c a a
a c b c b b
c a c a c c
c a 0 a 0 0
c c c c c c
c c 0 c 0 0

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 3x2 + 4x3 + 5x4 + 3x5 + 15x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)4 (X_b)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)2 (X_b)4 + (X_0)2 (X_a)3 (X_b)1 + (X_b)6 + (X_a)3 (X_b)3 + (X_0)4 (X_a)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5 + (X_a)2 (X_b)4 + (X_a)5 (X_b)1 + (X_b)4 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)4 + (X_0)2 (X_a)1 (X_b)3 + (X_a)4 (X_b)2 + (X_a)1 (X_b)5 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_b)2 (X_c)4 + (X_0)3 (X_b)2 (X_c)1 + (X_a)6 + (X_a)3 (X_b)3 + (X_a)4 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_a)2 (X_c)4 + (X_0)3 (X_a)2 (X_c)1 + (X_c)6 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1253

a 0 a 0 a a
0 a 0 a 0 0
b 0 b 0 b b
0 b 0 b 0 0
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b 0 b 0 0
0 b c a 0 0
b 0 b 0 b b
b 0 a c b b
b b b b b b
b b a a b b
0 a 0 a 0 0
0 a c b 0 0
0 c 0 c 0 0
0 c c 0 0 0
b a b a b b
b a a b b b
b c b c b b
b c a 0 b b
a 0 a 0 a a
a 0 b c a a
a b a b a a
a b b a a a
c 0 c 0 c c
c 0 0 c c c
c b c b c c
c b 0 a c c
a a a a a a
a a b b a a
a c a c a a
a c b 0 a a
c a c a c c
c a 0 b c c
c c c c c c
c c 0 0 c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 5x2 + 2x3 + 5x4 + 6x5 + 13x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_b)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_b)6 + (X_a)2 (X_b)4 + (X_0)4 (X_a)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_a)2 (X_b)4 + (X_a)2 (X_b)4 + (X_b)4 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)4 (X_b)2 + (X_a)4 (X_b)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_b)2 (X_c)4 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_a)6 + (X_a)4 (X_b)2 + (X_a)4 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_c)4 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_c)6 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1254

a 0 a 0 a a
0 a 0 a 0 0
b 0 b 0 b b
0 b 0 b 0 0
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b 0 b 0 0
0 b c a 0 c
b 0 b 0 b b
b 0 a c b a
b b b b b b
b b a a b a
0 a 0 a 0 0
0 a c b 0 c
0 c 0 c 0 0
0 c c 0 0 c
b a b a b b
b a a b b a
b c b c b b
b c a 0 b a
a 0 a 0 a a
a 0 b c a b
a b a b a a
a b b a a b
c 0 c 0 c c
c 0 0 c c 0
c b c b c c
c b 0 a c 0
a a a a a a
a a b b a b
a c a c a a
a c b 0 a b
c a c a c c
c a 0 b c 0
c c c c c c
c c 0 0 c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 4x3 + 7x4 + 4x5 + 13x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_b)6 + (X_a)3 (X_b)3 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_a)2 (X_b)4 + (X_a)3 (X_b)3 + (X_b)4 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)4 (X_b)2 + (X_a)3 (X_b)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_b)2 (X_c)4 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_a)6 + (X_a)3 (X_b)3 + (X_a)4 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_c)4 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_c)6 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1255

a 0 a 0 a a
0 a 0 a 0 0
b 0 b 0 b b
0 b 0 b 0 0
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b 0 b 0 0
0 b c a c 0
b 0 b 0 b b
b 0 a c a b
b b b b b b
b b a a a b
0 a 0 a 0 0
0 a c b c 0
0 c 0 c 0 0
0 c c 0 c 0
b a b a b b
b a a b a b
b c b c b b
b c a 0 a b
a 0 a 0 a a
a 0 b c b a
a b a b a a
a b b a b a
c 0 c 0 c c
c 0 0 c 0 c
c b c b c c
c b 0 a 0 c
a a a a a a
a a b b b a
a c a c a a
a c b 0 b a
c a c a c c
c a 0 b 0 c
c c c c c c
c c 0 0 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 4x3 + 7x4 + 4x5 + 13x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_b)6 + (X_a)3 (X_b)3 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_a)2 (X_b)4 + (X_a)3 (X_b)3 + (X_b)4 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)4 (X_b)2 + (X_a)3 (X_b)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_b)2 (X_c)4 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_a)6 + (X_a)3 (X_b)3 + (X_a)4 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_c)4 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_c)6 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1256

a 0 a 0 a a
0 a 0 a 0 0
b 0 b 0 b b
0 b 0 b 0 0
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b 0 b 0 0
0 b c a c c
b 0 b 0 b b
b 0 a c a a
b b b b b b
b b a a a a
0 a 0 a 0 0
0 a c b c c
0 c 0 c 0 0
0 c c 0 c c
b a b a b b
b a a b a a
b c b c b b
b c a 0 a a
a 0 a 0 a a
a 0 b c b b
a b a b a a
a b b a b b
c 0 c 0 c c
c 0 0 c 0 0
c b c b c c
c b 0 a 0 0
a a a a a a
a a b b b b
a c a c a a
a c b 0 b b
c a c a c c
c a 0 b 0 0
c c c c c c
c c 0 0 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 5x2 + 2x3 + 5x4 + 6x5 + 13x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)4 (X_b)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_b)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_b)6 + (X_a)4 (X_b)2 + (X_0)4 (X_a)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_a)2 (X_b)4 + (X_a)4 (X_b)2 + (X_b)4 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)4 (X_b)2 + (X_a)2 (X_b)4 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_b)2 (X_c)4 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_a)6 + (X_a)2 (X_b)4 + (X_a)4 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)2 (X_c)4 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_c)6 + (X_0)4 (X_c)2

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1257

a 0 a 0 a a
0 a 0 a 0 a
b 0 b 0 b b
0 b 0 b 0 b
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b 0 b 0 b
0 b c b 0 b
b 0 b 0 b b
b 0 a 0 b b
b b b b b 0
b b a b b 0
0 a 0 a 0 a
0 a c a 0 a
0 c 0 c 0 c
0 c c c 0 c
b a b a b c
b a a a b c
b c b c b a
b c a c b a
a 0 a 0 a a
a 0 b 0 a a
a b a b a c
a b b b a c
c 0 c 0 c c
c 0 0 0 c c
c b c b c a
c b 0 b c a
a a a a a 0
a a b a a 0
a c a c a b
a c b c a b
c a c a c b
c a 0 a c b
c c c c c 0
c c 0 c c 0

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 0x2 + 4x3 + 9x4 + 7x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_b)3 (X_c)1 + (X_0)2 (X_b)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_b)5 + (X_0)1 (X_a)1 (X_b)4 + (X_0)3 (X_a)3 + (X_0)2 (X_a)3 (X_c)1 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_a)2 (X_b)3 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)2 (X_a)3 (X_b)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)5 + (X_0)1 (X_a)4 (X_b)1 + (X_a)3 (X_b)1 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1258

a 0 a 0 a a
0 a 0 a 0 a
b 0 b 0 b b
0 b 0 b 0 b
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b 0 b 0 b
0 b c b 0 a
b 0 b 0 b b
b 0 a 0 b a
b b b b b 0
b b a b b c
0 a 0 a 0 a
0 a c a 0 b
0 c 0 c 0 c
0 c c c 0 0
b a b a b c
b a a a b 0
b c b c b a
b c a c b b
a 0 a 0 a a
a 0 b 0 a b
a b a b a c
a b b b a 0
c 0 c 0 c c
c 0 0 0 c 0
c b c b c a
c b 0 b c b
a a a a a 0
a a b a a c
a c a c a b
a c b c a a
c a c a c b
c a 0 a c a
c c c c c 0
c c 0 c c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 2x2 + 4x3 + 7x4 + 8x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_b)5 + (X_a)1 (X_b)4 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_a)1 (X_b)3 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)5 + (X_a)4 (X_b)1 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1259

a 0 a 0 a a
0 a 0 a 0 a
b 0 b 0 b b
0 b 0 b 0 b
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b 0 b 0 b
0 b c b c b
b 0 b 0 b b
b 0 a 0 a b
b b b b b 0
b b a b a 0
0 a 0 a 0 a
0 a c a c a
0 c 0 c 0 c
0 c c c c c
b a b a b c
b a a a a c
b c b c b a
b c a c a a
a 0 a 0 a a
a 0 b 0 b a
a b a b a c
a b b b b c
c 0 c 0 c c
c 0 0 0 0 c
c b c b c a
c b 0 b 0 a
a a a a a 0
a a b a b 0
a c a c a b
a c b c b b
c a c a c b
c a 0 a 0 b
c c c c c 0
c c 0 c 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 2x2 + 4x3 + 7x4 + 8x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_b)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)3 (X_a)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_a)2 (X_b)3 (X_c)1 + (X_a)4 (X_b)1 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_a)3 (X_b)2 (X_c)1 + (X_a)1 (X_b)4 (X_c)1 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)3 (X_b)2 + (X_a)3 (X_b)1 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1260

a 0 a 0 a a
0 a 0 a 0 a
b 0 b 0 b b
0 b 0 b 0 b
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b 0 b 0 b
0 b c b c a
b 0 b 0 b b
b 0 a 0 a a
b b b b b 0
b b a b a c
0 a 0 a 0 a
0 a c a c b
0 c 0 c 0 c
0 c c c c 0
b a b a b c
b a a a a 0
b c b c b a
b c a c a b
a 0 a 0 a a
a 0 b 0 b b
a b a b a c
a b b b b 0
c 0 c 0 c c
c 0 0 0 0 0
c b c b c a
c b 0 b 0 b
a a a a a 0
a a b a b c
a c a c a b
a c b c b a
c a c a c b
c a 0 a 0 a
c c c c c 0
c c 0 c 0 c

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 0x2 + 4x3 + 9x4 + 7x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_b)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_b)5 + (X_a)2 (X_b)3 (X_c)1 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)4 (X_b)1 + (X_a)1 (X_b)3 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)2 (X_a)1 (X_b)3 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)4 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)5 + (X_a)3 (X_b)2 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)3 (X_c)1 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1261

a 0 a 0 a a
0 a 0 a 0 a
b 0 b 0 b b
0 b 0 b 0 b
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b 0 b 0 b
0 b c a 0 b
b 0 b 0 b b
b 0 a c b b
b b b b b 0
b b a a b 0
0 a 0 a 0 a
0 a c b 0 a
0 c 0 c 0 c
0 c c 0 0 c
b a b a b c
b a a b b c
b c b c b a
b c a 0 b a
a 0 a 0 a a
a 0 b c a a
a b a b a c
a b b a a c
c 0 c 0 c c
c 0 0 c c c
c b c b c a
c b 0 a c a
a a a a a 0
a a b b a 0
a c a c a b
a c b 0 a b
c a c a c b
c a 0 b c b
c c c c c 0
c c 0 0 c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 5x3 + 6x4 + 11x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_b)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_a)2 (X_b)3 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)5 + (X_0)1 (X_a)3 (X_b)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1262

a 0 a 0 a a
0 a 0 a 0 a
b 0 b 0 b b
0 b 0 b 0 b
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b 0 b 0 b
0 b c a 0 a
b 0 b 0 b b
b 0 a c b a
b b b b b 0
b b a a b c
0 a 0 a 0 a
0 a c b 0 b
0 c 0 c 0 c
0 c c 0 0 0
b a b a b c
b a a b b 0
b c b c b a
b c a 0 b b
a 0 a 0 a a
a 0 b c a b
a b a b a c
a b b a a 0
c 0 c 0 c c
c 0 0 c c 0
c b c b c a
c b 0 a c b
a a a a a 0
a a b b a c
a c a c a b
a c b 0 a a
c a c a c b
c a 0 b c a
c c c c c 0
c c 0 0 c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 5x3 + 6x4 + 11x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_b)5 + (X_a)2 (X_b)3 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)5 + (X_a)3 (X_b)2 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1263

a 0 a 0 a a
0 a 0 a 0 a
b 0 b 0 b b
0 b 0 b 0 b
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b 0 b 0 b
0 b c a c b
b 0 b 0 b b
b 0 a c a b
b b b b b 0
b b a a a 0
0 a 0 a 0 a
0 a c b c a
0 c 0 c 0 c
0 c c 0 c c
b a b a b c
b a a b a c
b c b c b a
b c a 0 a a
a 0 a 0 a a
a 0 b c b a
a b a b a c
a b b a b c
c 0 c 0 c c
c 0 0 c 0 c
c b c b c a
c b 0 a 0 a
a a a a a 0
a a b b b 0
a c a c a b
a c b 0 b b
c a c a c b
c a 0 b 0 b
c c c c c 0
c c 0 0 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 5x3 + 6x4 + 11x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_b)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_a)2 (X_b)3 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)2 (X_b)3 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1264

a 0 a 0 a a
0 a 0 a 0 a
b 0 b 0 b b
0 b 0 b 0 b
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b 0 b 0 b
0 b c a c a
b 0 b 0 b b
b 0 a c a a
b b b b b 0
b b a a a c
0 a 0 a 0 a
0 a c b c b
0 c 0 c 0 c
0 c c 0 c 0
b a b a b c
b a a b a 0
b c b c b a
b c a 0 a b
a 0 a 0 a a
a 0 b c b b
a b a b a c
a b b a b 0
c 0 c 0 c c
c 0 0 c 0 0
c b c b c a
c b 0 a 0 b
a a a a a 0
a a b b b c
a c a c a b
a c b 0 b a
c a c a c b
c a 0 b 0 a
c c c c c 0
c c 0 0 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 5x3 + 6x4 + 11x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)3 (X_b)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_b)5 + (X_a)3 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)5 + (X_a)2 (X_b)3 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1265

a 0 a 0 a a
0 a 0 a a 0
b 0 b 0 b b
0 b 0 b b 0
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b 0 b b 0
0 b c b b 0
b 0 b 0 b b
b 0 a 0 b b
b b b b 0 b
b b a b 0 b
0 a 0 a a 0
0 a c a a 0
0 c 0 c c 0
0 c c c c 0
b a b a c b
b a a a c b
b c b c a b
b c a c a b
a 0 a 0 a a
a 0 b 0 a a
a b a b c a
a b b b c a
c 0 c 0 c c
c 0 0 0 c c
c b c b a c
c b 0 b a c
a a a a 0 a
a a b a 0 a
a c a c b a
a c b c b a
c a c a b c
c a 0 a b c
c c c c 0 c
c c 0 c 0 c

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 0x2 + 4x3 + 9x4 + 7x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_b)3 (X_c)1 + (X_0)2 (X_b)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_b)5 + (X_0)1 (X_a)1 (X_b)4 + (X_0)3 (X_a)3 + (X_0)2 (X_a)3 (X_c)1 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_a)2 (X_b)3 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)2 (X_a)3 (X_b)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)5 + (X_0)1 (X_a)4 (X_b)1 + (X_a)3 (X_b)1 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1266

a 0 a 0 a a
0 a 0 a a 0
b 0 b 0 b b
0 b 0 b b 0
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b 0 b b 0
0 b c b b c
b 0 b 0 b b
b 0 a 0 b a
b b b b 0 b
b b a b 0 a
0 a 0 a a 0
0 a c a a c
0 c 0 c c 0
0 c c c c c
b a b a c b
b a a a c a
b c b c a b
b c a c a a
a 0 a 0 a a
a 0 b 0 a b
a b a b c a
a b b b c b
c 0 c 0 c c
c 0 0 0 c 0
c b c b a c
c b 0 b a 0
a a a a 0 a
a a b a 0 b
a c a c b a
a c b c b b
c a c a b c
c a 0 a b 0
c c c c 0 c
c c 0 c 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 2x2 + 4x3 + 7x4 + 8x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_b)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)3 (X_a)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_a)2 (X_b)3 (X_c)1 + (X_a)4 (X_b)1 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_a)3 (X_b)2 (X_c)1 + (X_a)1 (X_b)4 (X_c)1 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)3 (X_b)2 + (X_a)3 (X_b)1 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1267

a 0 a 0 a a
0 a 0 a a 0
b 0 b 0 b b
0 b 0 b b 0
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b 0 b b 0
0 b c b a 0
b 0 b 0 b b
b 0 a 0 a b
b b b b 0 b
b b a b c b
0 a 0 a a 0
0 a c a b 0
0 c 0 c c 0
0 c c c 0 0
b a b a c b
b a a a 0 b
b c b c a b
b c a c b b
a 0 a 0 a a
a 0 b 0 b a
a b a b c a
a b b b 0 a
c 0 c 0 c c
c 0 0 0 0 c
c b c b a c
c b 0 b b c
a a a a 0 a
a a b a c a
a c a c b a
a c b c a a
c a c a b c
c a 0 a a c
c c c c 0 c
c c 0 c c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 2x2 + 4x3 + 7x4 + 8x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_b)5 + (X_a)1 (X_b)4 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_a)1 (X_b)3 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)5 + (X_a)4 (X_b)1 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1268

a 0 a 0 a a
0 a 0 a a 0
b 0 b 0 b b
0 b 0 b b 0
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b 0 b b 0
0 b c b a c
b 0 b 0 b b
b 0 a 0 a a
b b b b 0 b
b b a b c a
0 a 0 a a 0
0 a c a b c
0 c 0 c c 0
0 c c c 0 c
b a b a c b
b a a a 0 a
b c b c a b
b c a c b a
a 0 a 0 a a
a 0 b 0 b b
a b a b c a
a b b b 0 b
c 0 c 0 c c
c 0 0 0 0 0
c b c b a c
c b 0 b b 0
a a a a 0 a
a a b a c b
a c a c b a
a c b c a b
c a c a b c
c a 0 a a 0
c c c c 0 c
c c 0 c c 0

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 0x2 + 4x3 + 9x4 + 7x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_b)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_b)5 + (X_a)2 (X_b)3 (X_c)1 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)4 (X_b)1 + (X_a)1 (X_b)3 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)2 (X_a)1 (X_b)3 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)4 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)5 + (X_a)3 (X_b)2 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)3 (X_c)1 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1269

a 0 a 0 a a
0 a 0 a a 0
b 0 b 0 b b
0 b 0 b b 0
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b 0 b b 0
0 b c a b 0
b 0 b 0 b b
b 0 a c b b
b b b b 0 b
b b a a 0 b
0 a 0 a a 0
0 a c b a 0
0 c 0 c c 0
0 c c 0 c 0
b a b a c b
b a a b c b
b c b c a b
b c a 0 a b
a 0 a 0 a a
a 0 b c a a
a b a b c a
a b b a c a
c 0 c 0 c c
c 0 0 c c c
c b c b a c
c b 0 a a c
a a a a 0 a
a a b b 0 a
a c a c b a
a c b 0 b a
c a c a b c
c a 0 b b c
c c c c 0 c
c c 0 0 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 5x3 + 6x4 + 11x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_b)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_a)2 (X_b)3 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)5 + (X_0)1 (X_a)3 (X_b)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1270

a 0 a 0 a a
0 a 0 a a 0
b 0 b 0 b b
0 b 0 b b 0
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b 0 b b 0
0 b c a b c
b 0 b 0 b b
b 0 a c b a
b b b b 0 b
b b a a 0 a
0 a 0 a a 0
0 a c b a c
0 c 0 c c 0
0 c c 0 c c
b a b a c b
b a a b c a
b c b c a b
b c a 0 a a
a 0 a 0 a a
a 0 b c a b
a b a b c a
a b b a c b
c 0 c 0 c c
c 0 0 c c 0
c b c b a c
c b 0 a a 0
a a a a 0 a
a a b b 0 b
a c a c b a
a c b 0 b b
c a c a b c
c a 0 b b 0
c c c c 0 c
c c 0 0 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 5x3 + 6x4 + 11x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_b)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_a)2 (X_b)3 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)2 (X_b)3 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1271

a 0 a 0 a a
0 a 0 a a 0
b 0 b 0 b b
0 b 0 b b 0
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b 0 b b 0
0 b c a a 0
b 0 b 0 b b
b 0 a c a b
b b b b 0 b
b b a a c b
0 a 0 a a 0
0 a c b b 0
0 c 0 c c 0
0 c c 0 0 0
b a b a c b
b a a b 0 b
b c b c a b
b c a 0 b b
a 0 a 0 a a
a 0 b c b a
a b a b c a
a b b a 0 a
c 0 c 0 c c
c 0 0 c 0 c
c b c b a c
c b 0 a b c
a a a a 0 a
a a b b c a
a c a c b a
a c b 0 a a
c a c a b c
c a 0 b a c
c c c c 0 c
c c 0 0 c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 5x3 + 6x4 + 11x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_b)5 + (X_a)2 (X_b)3 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)5 + (X_a)3 (X_b)2 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1272

a 0 a 0 a a
0 a 0 a a 0
b 0 b 0 b b
0 b 0 b b 0
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b 0 b b 0
0 b c a a c
b 0 b 0 b b
b 0 a c a a
b b b b 0 b
b b a a c a
0 a 0 a a 0
0 a c b b c
0 c 0 c c 0
0 c c 0 0 c
b a b a c b
b a a b 0 a
b c b c a b
b c a 0 b a
a 0 a 0 a a
a 0 b c b b
a b a b c a
a b b a 0 b
c 0 c 0 c c
c 0 0 c 0 0
c b c b a c
c b 0 a b 0
a a a a 0 a
a a b b c b
a c a c b a
a c b 0 a b
c a c a b c
c a 0 b a 0
c c c c 0 c
c c 0 0 c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 5x3 + 6x4 + 11x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)3 (X_b)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_b)5 + (X_a)3 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)5 + (X_a)2 (X_b)3 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1273

a 0 a 0 a a
0 a 0 a a a
b 0 b 0 b b
0 b 0 b b b
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b 0 b b b
0 b c b b b
b 0 b 0 b b
b 0 a 0 b b
b b b b 0 0
b b a b 0 0
0 a 0 a a a
0 a c a a a
0 c 0 c c c
0 c c c c c
b a b a c c
b a a a c c
b c b c a a
b c a c a a
a 0 a 0 a a
a 0 b 0 a a
a b a b c c
a b b b c c
c 0 c 0 c c
c 0 0 0 c c
c b c b a a
c b 0 b a a
a a a a 0 0
a a b a 0 0
a c a c b b
a c b c b b
c a c a b b
c a 0 a b b
c c c c 0 0
c c 0 c 0 0

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 0x2 + 2x3 + 13x4 + 5x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_b)4 (X_c)1 + (X_0)2 (X_b)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)2 (X_b)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)2 (X_a)4 + (X_0)1 (X_a)4 (X_c)1 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_a)2 (X_b)2 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)4 + (X_0)2 (X_a)3 (X_b)1 + (X_a)2 (X_b)2 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)3 (X_b)1 + (X_a)2 (X_b)2 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1274

a 0 a 0 a a
0 a 0 a a a
b 0 b 0 b b
0 b 0 b b b
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b 0 b b b
0 b c b b a
b 0 b 0 b b
b 0 a 0 b a
b b b b 0 0
b b a b 0 c
0 a 0 a a a
0 a c a a b
0 c 0 c c c
0 c c c c 0
b a b a c c
b a a a c 0
b c b c a a
b c a c a b
a 0 a 0 a a
a 0 b 0 a b
a b a b c c
a b b b c 0
c 0 c 0 c c
c 0 0 0 c 0
c b c b a a
c b 0 b a b
a a a a 0 0
a a b a 0 c
a c a c b b
a c b c b a
c a c a b b
c a 0 a b a
c c c c 0 0
c c 0 c 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 2x2 + 0x3 + 13x4 + 8x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1275

a 0 a 0 a a
0 a 0 a a a
b 0 b 0 b b
0 b 0 b b b
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b 0 b b b
0 b c b a b
b 0 b 0 b b
b 0 a 0 a b
b b b b 0 0
b b a b c 0
0 a 0 a a a
0 a c a b a
0 c 0 c c c
0 c c c 0 c
b a b a c c
b a a a 0 c
b c b c a a
b c a c b a
a 0 a 0 a a
a 0 b 0 b a
a b a b c c
a b b b 0 c
c 0 c 0 c c
c 0 0 0 0 c
c b c b a a
c b 0 b b a
a a a a 0 0
a a b a c 0
a c a c b b
a c b c a b
c a c a b b
c a 0 a a b
c c c c 0 0
c c 0 c c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 2x2 + 0x3 + 13x4 + 8x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1276

a 0 a 0 a a
0 a 0 a a a
b 0 b 0 b b
0 b 0 b b b
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b 0 b b b
0 b c b a a
b 0 b 0 b b
b 0 a 0 a a
b b b b 0 0
b b a b c c
0 a 0 a a a
0 a c a b b
0 c 0 c c c
0 c c c 0 0
b a b a c c
b a a a 0 0
b c b c a a
b c a c b b
a 0 a 0 a a
a 0 b 0 b b
a b a b c c
a b b b 0 0
c 0 c 0 c c
c 0 0 0 0 0
c b c b a a
c b 0 b b b
a a a a 0 0
a a b a c c
a c a c b b
a c b c a a
c a c a b b
c a 0 a a a
c c c c 0 0
c c 0 c c c

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 0x2 + 2x3 + 13x4 + 5x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_b)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)2 (X_b)4 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)3 (X_b)1 + (X_a)2 (X_b)2 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)4 + (X_0)2 (X_a)1 (X_b)3 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)3 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_b)4 (X_c)1 + (X_0)2 (X_a)4 + (X_a)3 (X_b)1 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)4 (X_c)1 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1277

a 0 a 0 a a
0 a 0 a a a
b 0 b 0 b b
0 b 0 b b b
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b 0 b b b
0 b c a b b
b 0 b 0 b b
b 0 a c b b
b b b b 0 0
b b a a 0 0
0 a 0 a a a
0 a c b a a
0 c 0 c c c
0 c c 0 c c
b a b a c c
b a a b c c
b c b c a a
b c a 0 a a
a 0 a 0 a a
a 0 b c a a
a b a b c c
a b b a c c
c 0 c 0 c c
c 0 0 c c c
c b c b a a
c b 0 a a a
a a a a 0 0
a a b b 0 0
a c a c b b
a c b 0 b b
c a c a b b
c a 0 b b b
c c c c 0 0
c c 0 0 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 2x2 + 0x3 + 13x4 + 8x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_a)2 (X_b)2 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1278

a 0 a 0 a a
0 a 0 a a a
b 0 b 0 b b
0 b 0 b b b
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b 0 b b b
0 b c a b a
b 0 b 0 b b
b 0 a c b a
b b b b 0 0
b b a a 0 c
0 a 0 a a a
0 a c b a b
0 c 0 c c c
0 c c 0 c 0
b a b a c c
b a a b c 0
b c b c a a
b c a 0 a b
a 0 a 0 a a
a 0 b c a b
a b a b c c
a b b a c 0
c 0 c 0 c c
c 0 0 c c 0
c b c b a a
c b 0 a a b
a a a a 0 0
a a b b 0 c
a c a c b b
a c b 0 b a
c a c a b b
c a 0 b b a
c c c c 0 0
c c 0 0 0 c

dmin: 3
Weight Enumerator: 1x0 + 0x1 + 0x2 + 4x3 + 9x4 + 12x5 + 6x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1279

a 0 a 0 a a
0 a 0 a a a
b 0 b 0 b b
0 b 0 b b b
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b 0 b b b
0 b c a a b
b 0 b 0 b b
b 0 a c a b
b b b b 0 0
b b a a c 0
0 a 0 a a a
0 a c b b a
0 c 0 c c c
0 c c 0 0 c
b a b a c c
b a a b 0 c
b c b c a a
b c a 0 b a
a 0 a 0 a a
a 0 b c b a
a b a b c c
a b b a 0 c
c 0 c 0 c c
c 0 0 c 0 c
c b c b a a
c b 0 a b a
a a a a 0 0
a a b b c 0
a c a c b b
a c b 0 a b
c a c a b b
c a 0 b a b
c c c c 0 0
c c 0 0 c 0

dmin: 3
Weight Enumerator: 1x0 + 0x1 + 0x2 + 4x3 + 9x4 + 12x5 + 6x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1280

a 0 a 0 a a
0 a 0 a a a
b 0 b 0 b b
0 b 0 b b b
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b 0 b b b
0 b c a a a
b 0 b 0 b b
b 0 a c a a
b b b b 0 0
b b a a c c
0 a 0 a a a
0 a c b b b
0 c 0 c c c
0 c c 0 0 0
b a b a c c
b a a b 0 0
b c b c a a
b c a 0 b b
a 0 a 0 a a
a 0 b c b b
a b a b c c
a b b a 0 0
c 0 c 0 c c
c 0 0 c 0 0
c b c b a a
c b 0 a b b
a a a a 0 0
a a b b c c
a c a c b b
a c b 0 a a
c a c a b b
c a 0 b a a
c c c c 0 0
c c 0 0 c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 2x2 + 0x3 + 13x4 + 8x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)2 (X_b)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_b)4 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_a)2 (X_b)2 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1281

a 0 a a 0 0
0 a 0 0 0 0
b 0 b b 0 0
0 b 0 0 0 0
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b 0 0 0 0
0 b c 0 0 0
b 0 b b 0 0
b 0 a b 0 0
b b b b 0 0
b b a b 0 0
0 a 0 0 0 0
0 a c 0 0 0
0 c 0 0 0 0
0 c c 0 0 0
b a b b 0 0
b a a b 0 0
b c b b 0 0
b c a b 0 0
a 0 a a 0 0
a 0 b a 0 0
a b a a 0 0
a b b a 0 0
c 0 c c 0 0
c 0 0 c 0 0
c b c c 0 0
c b 0 c 0 0
a a a a 0 0
a a b a 0 0
a c a a 0 0
a c b a 0 0
c a c c 0 0
c a 0 c 0 0
c c c c 0 0
c c 0 c 0 0

dmin: 1
Weight Enumerator: 1x0 + 4x1 + 4x2 + 8x3 + 15x4 + 0x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)5 (X_b)1 + (X_0)4 (X_b)1 (X_c)1 + (X_0)3 (X_b)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)2 (X_b)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)5 (X_a)1 + (X_0)4 (X_a)1 (X_c)1 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)2 (X_a)1 (X_b)3 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_b)3 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)2 (X_a)3 (X_b)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_b)1 (X_c)3 + (X_0)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)2 (X_a)3 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_c)3 + (X_0)3 (X_a)1 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c

Is it a nice code?: No

Generator Matrix-1282

a 0 a a 0 0
0 a 0 0 0 0
b 0 b b 0 0
0 b 0 0 0 0
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b 0 0 0 0
0 b c 0 0 c
b 0 b b 0 0
b 0 a b 0 c
b b b b 0 0
b b a b 0 c
0 a 0 0 0 0
0 a c 0 0 c
0 c 0 0 0 0
0 c c 0 0 c
b a b b 0 0
b a a b 0 c
b c b b 0 0
b c a b 0 c
a 0 a a 0 0
a 0 b a 0 c
a b a a 0 0
a b b a 0 c
c 0 c c 0 0
c 0 0 c 0 c
c b c c 0 0
c b 0 c 0 c
a a a a 0 0
a a b a 0 c
a c a a 0 0
a c b a 0 c
c a c c 0 0
c a 0 c 0 c
c c c c 0 0
c c 0 c 0 c

dmin: 1
Weight Enumerator: 1x0 + 3x1 + 1x2 + 7x3 + 14x4 + 6x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)5 (X_b)1 + (X_0)3 (X_b)1 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)5 (X_a)1 + (X_0)3 (X_a)1 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_b)1 (X_c)3 + (X_0)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_c)3 + (X_0)2 (X_a)1 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c

Is it a nice code?: No

Generator Matrix-1283

a 0 a a 0 0
0 a 0 0 0 0
b 0 b b 0 0
0 b 0 0 0 0
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b 0 0 0 0
0 b c 0 c 0
b 0 b b 0 0
b 0 a b c 0
b b b b 0 0
b b a b c 0
0 a 0 0 0 0
0 a c 0 c 0
0 c 0 0 0 0
0 c c 0 c 0
b a b b 0 0
b a a b c 0
b c b b 0 0
b c a b c 0
a 0 a a 0 0
a 0 b a c 0
a b a a 0 0
a b b a c 0
c 0 c c 0 0
c 0 0 c c 0
c b c c 0 0
c b 0 c c 0
a a a a 0 0
a a b a c 0
a c a a 0 0
a c b a c 0
c a c c 0 0
c a 0 c c 0
c c c c 0 0
c c 0 c c 0

dmin: 1
Weight Enumerator: 1x0 + 3x1 + 1x2 + 7x3 + 14x4 + 6x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)5 (X_b)1 + (X_0)3 (X_b)1 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)5 (X_a)1 + (X_0)3 (X_a)1 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_b)1 (X_c)3 + (X_0)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_c)3 + (X_0)2 (X_a)1 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c

Is it a nice code?: No

Generator Matrix-1284

a 0 a a 0 0
0 a 0 0 0 0
b 0 b b 0 0
0 b 0 0 0 0
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b 0 0 0 0
0 b c 0 c c
b 0 b b 0 0
b 0 a b c c
b b b b 0 0
b b a b c c
0 a 0 0 0 0
0 a c 0 c c
0 c 0 0 0 0
0 c c 0 c c
b a b b 0 0
b a a b c c
b c b b 0 0
b c a b c c
a 0 a a 0 0
a 0 b a c c
a b a a 0 0
a b b a c c
c 0 c c 0 0
c 0 0 c c c
c b c c 0 0
c b 0 c c c
a a a a 0 0
a a b a c c
a c a a 0 0
a c b a c c
c a c c 0 0
c a 0 c c c
c c c c 0 0
c c 0 c c c

dmin: 1
Weight Enumerator: 1x0 + 3x1 + 0x2 + 4x3 + 13x4 + 5x5 + 6x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)5 (X_b)1 + (X_0)2 (X_b)1 (X_c)3 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_b)4 + (X_a)1 (X_b)3 (X_c)2 + (X_0)5 (X_a)1 + (X_0)2 (X_a)1 (X_c)3 + (X_0)5 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_a)1 (X_b)3 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_b)3 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)3 (X_b)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_b)1 (X_c)3 + (X_0)1 (X_b)1 (X_c)4 + (X_0)2 (X_a)4 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)3 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_c)3 + (X_0)1 (X_a)1 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c

Is it a nice code?: No

Generator Matrix-1285

a 0 a a 0 0
0 a 0 0 0 0
b 0 b b 0 0
0 b 0 0 0 0
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b 0 0 0 0
0 b c c 0 0
b 0 b b 0 0
b 0 a a 0 0
b b b b 0 0
b b a a 0 0
0 a 0 0 0 0
0 a c c 0 0
0 c 0 0 0 0
0 c c c 0 0
b a b b 0 0
b a a a 0 0
b c b b 0 0
b c a a 0 0
a 0 a a 0 0
a 0 b b 0 0
a b a a 0 0
a b b b 0 0
c 0 c c 0 0
c 0 0 0 0 0
c b c c 0 0
c b 0 0 0 0
a a a a 0 0
a a b b 0 0
a c a a 0 0
a c b b 0 0
c a c c 0 0
c a 0 0 0 0
c c c c 0 0
c c 0 0 0 0

dmin: 1
Weight Enumerator: 1x0 + 4x1 + 4x2 + 8x3 + 15x4 + 0x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)5 (X_b)1 + (X_0)3 (X_b)1 (X_c)2 + (X_0)3 (X_b)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)5 (X_a)1 + (X_0)3 (X_a)1 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)2 (X_a)1 (X_b)3 + (X_0)2 (X_a)3 (X_b)1 + (X_0)2 (X_b)3 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_a)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)2 (X_a)3 (X_b)1 + (X_0)2 (X_a)1 (X_b)3 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)2 (X_b)1 (X_c)3 + (X_0)4 (X_b)1 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_a)3 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_c)3 + (X_0)4 (X_a)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c

Is it a nice code?: No

Generator Matrix-1286

a 0 a a 0 0
0 a 0 0 0 0
b 0 b b 0 0
0 b 0 0 0 0
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b 0 0 0 0
0 b c c 0 c
b 0 b b 0 0
b 0 a a 0 c
b b b b 0 0
b b a a 0 c
0 a 0 0 0 0
0 a c c 0 c
0 c 0 0 0 0
0 c c c 0 c
b a b b 0 0
b a a a 0 c
b c b b 0 0
b c a a 0 c
a 0 a a 0 0
a 0 b b 0 c
a b a a 0 0
a b b b 0 c
c 0 c c 0 0
c 0 0 0 0 c
c b c c 0 0
c b 0 0 0 c
a a a a 0 0
a a b b 0 c
a c a a 0 0
a c b b 0 c
c a c c 0 0
c a 0 0 0 c
c c c c 0 0
c c 0 0 0 c

dmin: 1
Weight Enumerator: 1x0 + 3x1 + 1x2 + 7x3 + 14x4 + 6x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)5 (X_b)1 + (X_0)2 (X_b)1 (X_c)3 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)5 (X_a)1 + (X_0)2 (X_a)1 (X_c)3 + (X_0)5 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_b)1 (X_c)3 + (X_0)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_c)3 + (X_0)3 (X_a)1 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c

Is it a nice code?: No

Generator Matrix-1287

a 0 a a 0 0
0 a 0 0 0 0
b 0 b b 0 0
0 b 0 0 0 0
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b 0 0 0 0
0 b c c c 0
b 0 b b 0 0
b 0 a a c 0
b b b b 0 0
b b a a c 0
0 a 0 0 0 0
0 a c c c 0
0 c 0 0 0 0
0 c c c c 0
b a b b 0 0
b a a a c 0
b c b b 0 0
b c a a c 0
a 0 a a 0 0
a 0 b b c 0
a b a a 0 0
a b b b c 0
c 0 c c 0 0
c 0 0 0 c 0
c b c c 0 0
c b 0 0 c 0
a a a a 0 0
a a b b c 0
a c a a 0 0
a c b b c 0
c a c c 0 0
c a 0 0 c 0
c c c c 0 0
c c 0 0 c 0

dmin: 1
Weight Enumerator: 1x0 + 3x1 + 1x2 + 7x3 + 14x4 + 6x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)5 (X_b)1 + (X_0)2 (X_b)1 (X_c)3 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)5 (X_a)1 + (X_0)2 (X_a)1 (X_c)3 + (X_0)5 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_b)1 (X_c)3 + (X_0)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_c)3 + (X_0)3 (X_a)1 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c

Is it a nice code?: No

Generator Matrix-1288

a 0 a a 0 0
0 a 0 0 0 0
b 0 b b 0 0
0 b 0 0 0 0
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b 0 0 0 0
0 b c c c c
b 0 b b 0 0
b 0 a a c c
b b b b 0 0
b b a a c c
0 a 0 0 0 0
0 a c c c c
0 c 0 0 0 0
0 c c c c c
b a b b 0 0
b a a a c c
b c b b 0 0
b c a a c c
a 0 a a 0 0
a 0 b b c c
a b a a 0 0
a b b b c c
c 0 c c 0 0
c 0 0 0 c c
c b c c 0 0
c b 0 0 c c
a a a a 0 0
a a b b c c
a c a a 0 0
a c b b c c
c a c c 0 0
c a 0 0 c c
c c c c 0 0
c c 0 0 c c

dmin: 1
Weight Enumerator: 1x0 + 3x1 + 0x2 + 4x3 + 13x4 + 5x5 + 6x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)5 (X_b)1 + (X_0)1 (X_b)1 (X_c)4 + (X_0)3 (X_b)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_b)4 + (X_a)2 (X_b)2 (X_c)2 + (X_0)5 (X_a)1 + (X_0)1 (X_a)1 (X_c)4 + (X_0)5 (X_c)1 + (X_0)1 (X_c)5 + (X_0)2 (X_a)1 (X_b)3 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_b)3 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_a)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)3 (X_b)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_b)1 (X_c)3 + (X_0)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)4 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)3 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)1 (X_c)3 + (X_0)2 (X_a)1 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c

Is it a nice code?: No

Generator Matrix-1289

a 0 a a 0 0
0 a 0 0 0 a
b 0 b b 0 0
0 b 0 0 0 b
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b 0 0 0 b
0 b c 0 0 b
b 0 b b 0 0
b 0 a b 0 0
b b b b 0 b
b b a b 0 b
0 a 0 0 0 a
0 a c 0 0 a
0 c 0 0 0 c
0 c c 0 0 c
b a b b 0 a
b a a b 0 a
b c b b 0 c
b c a b 0 c
a 0 a a 0 0
a 0 b a 0 0
a b a a 0 b
a b b a 0 b
c 0 c c 0 0
c 0 0 c 0 0
c b c c 0 b
c b 0 c 0 b
a a a a 0 a
a a b a 0 a
a c a a 0 c
a c b a 0 c
c a c c 0 a
c a 0 c 0 a
c c c c 0 c
c c 0 c 0 c

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 4x2 + 8x3 + 3x4 + 15x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)4 (X_b)2 + (X_0)3 (X_b)2 (X_c)1 + (X_0)3 (X_b)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)1 (X_b)5 + (X_0)1 (X_a)1 (X_b)4 + (X_0)4 (X_a)2 + (X_0)3 (X_a)2 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)2 (X_b)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)5 + (X_0)1 (X_a)4 (X_b)1 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0

Is it a nice code?: No

Generator Matrix-1290

a 0 a a 0 0
0 a 0 0 0 a
b 0 b b 0 0
0 b 0 0 0 b
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b 0 0 0 b
0 b c 0 0 a
b 0 b b 0 0
b 0 a b 0 c
b b b b 0 b
b b a b 0 a
0 a 0 0 0 a
0 a c 0 0 b
0 c 0 0 0 c
0 c c 0 0 0
b a b b 0 a
b a a b 0 b
b c b b 0 c
b c a b 0 0
a 0 a a 0 0
a 0 b a 0 c
a b a a 0 b
a b b a 0 a
c 0 c c 0 0
c 0 0 c 0 c
c b c c 0 b
c b 0 c 0 a
a a a a 0 a
a a b a 0 b
a c a a 0 c
a c b a 0 0
c a c c 0 a
c a 0 c 0 b
c c c c 0 c
c c 0 c 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 5x2 + 7x3 + 6x4 + 13x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_b)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_b)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)4 (X_a)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)3 (X_b)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)3 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0

Is it a nice code?: No

Generator Matrix-1291

a 0 a a 0 0
0 a 0 0 0 a
b 0 b b 0 0
0 b 0 0 0 b
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b 0 0 0 b
0 b c 0 c b
b 0 b b 0 0
b 0 a b c 0
b b b b 0 b
b b a b c b
0 a 0 0 0 a
0 a c 0 c a
0 c 0 0 0 c
0 c c 0 c c
b a b b 0 a
b a a b c a
b c b b 0 c
b c a b c c
a 0 a a 0 0
a 0 b a c 0
a b a a 0 b
a b b a c b
c 0 c c 0 0
c 0 0 c c 0
c b c c 0 b
c b 0 c c b
a a a a 0 a
a a b a c a
a c a a 0 c
a c b a c c
c a c c 0 a
c a 0 c c a
c c c c 0 c
c c 0 c c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 4x3 + 5x4 + 12x5 + 6x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_b)5 + (X_a)1 (X_b)4 (X_c)1 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_a)2 (X_b)3 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_b)3 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_a)2 (X_b)3 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_b)2 (X_c)3 + (X_0)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)5 + (X_a)4 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)2 (X_c)3 + (X_0)1 (X_a)2 (X_c)3 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0

Is it a nice code?: No

Generator Matrix-1292

a 0 a a 0 0
0 a 0 0 0 a
b 0 b b 0 0
0 b 0 0 0 b
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b 0 0 0 b
0 b c 0 c a
b 0 b b 0 0
b 0 a b c c
b b b b 0 b
b b a b c a
0 a 0 0 0 a
0 a c 0 c b
0 c 0 0 0 c
0 c c 0 c 0
b a b b 0 a
b a a b c b
b c b b 0 c
b c a b c 0
a 0 a a 0 0
a 0 b a c c
a b a a 0 b
a b b a c a
c 0 c c 0 0
c 0 0 c c c
c b c c 0 b
c b 0 c c a
a a a a 0 a
a a b a c b
a c a a 0 c
a c b a c 0
c a c c 0 a
c a 0 c c b
c c c c 0 c
c c 0 c c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 5x3 + 4x4 + 15x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_b)5 + (X_a)2 (X_b)3 (X_c)1 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)3 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_b)2 + (X_a)3 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)5 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0

Is it a nice code?: No

Generator Matrix-1293

a 0 a a 0 0
0 a 0 0 0 a
b 0 b b 0 0
0 b 0 0 0 b
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b 0 0 0 b
0 b c c 0 b
b 0 b b 0 0
b 0 a a 0 0
b b b b 0 b
b b a a 0 b
0 a 0 0 0 a
0 a c c 0 a
0 c 0 0 0 c
0 c c c 0 c
b a b b 0 a
b a a a 0 a
b c b b 0 c
b c a a 0 c
a 0 a a 0 0
a 0 b b 0 0
a b a a 0 b
a b b b 0 b
c 0 c c 0 0
c 0 0 0 0 0
c b c c 0 b
c b 0 0 0 b
a a a a 0 a
a a b b 0 a
a c a a 0 c
a c b b 0 c
c a c c 0 a
c a 0 0 0 a
c c c c 0 c
c c 0 0 0 c

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 4x2 + 8x3 + 3x4 + 15x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)3 (X_b)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)1 (X_b)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)4 (X_b)1 + (X_0)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)1 (X_b)4 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)1 (X_b)2 (X_c)3 + (X_0)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)3 (X_a)2 (X_c)1 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0

Is it a nice code?: No

Generator Matrix-1294

a 0 a a 0 0
0 a 0 0 0 a
b 0 b b 0 0
0 b 0 0 0 b
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b 0 0 0 b
0 b c c 0 a
b 0 b b 0 0
b 0 a a 0 c
b b b b 0 b
b b a a 0 a
0 a 0 0 0 a
0 a c c 0 b
0 c 0 0 0 c
0 c c c 0 0
b a b b 0 a
b a a a 0 b
b c b b 0 c
b c a a 0 0
a 0 a a 0 0
a 0 b b 0 c
a b a a 0 b
a b b b 0 a
c 0 c c 0 0
c 0 0 0 0 c
c b c c 0 b
c b 0 0 0 a
a a a a 0 a
a a b b 0 b
a c a a 0 c
a c b b 0 0
c a c c 0 a
c a 0 0 0 b
c c c c 0 c
c c 0 0 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 5x2 + 7x3 + 6x4 + 13x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_b)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)2 (X_b)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_c)3 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0

Is it a nice code?: No

Generator Matrix-1295

a 0 a a 0 0
0 a 0 0 0 a
b 0 b b 0 0
0 b 0 0 0 b
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b 0 0 0 b
0 b c c c b
b 0 b b 0 0
b 0 a a c 0
b b b b 0 b
b b a a c b
0 a 0 0 0 a
0 a c c c a
0 c 0 0 0 c
0 c c c c c
b a b b 0 a
b a a a c a
b c b b 0 c
b c a a c c
a 0 a a 0 0
a 0 b b c 0
a b a a 0 b
a b b b c b
c 0 c c 0 0
c 0 0 0 c 0
c b c c 0 b
c b 0 0 c b
a a a a 0 a
a a b b c a
a c a a 0 c
a c b b c c
c a c c 0 a
c a 0 0 c a
c c c c 0 c
c c 0 0 c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 4x3 + 5x4 + 12x5 + 6x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)4 (X_b)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_b)5 + (X_a)2 (X_b)3 (X_c)1 + (X_0)4 (X_a)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5 + (X_0)1 (X_a)2 (X_b)3 + (X_a)4 (X_b)1 (X_c)1 + (X_0)1 (X_b)3 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_a)1 (X_b)4 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)5 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)2 (X_c)3 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0

Is it a nice code?: No

Generator Matrix-1296

a 0 a a 0 0
0 a 0 0 0 a
b 0 b b 0 0
0 b 0 0 0 b
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b 0 0 0 b
0 b c c c a
b 0 b b 0 0
b 0 a a c c
b b b b 0 b
b b a a c a
0 a 0 0 0 a
0 a c c c b
0 c 0 0 0 c
0 c c c c 0
b a b b 0 a
b a a a c b
b c b b 0 c
b c a a c 0
a 0 a a 0 0
a 0 b b c c
a b a a 0 b
a b b b c a
c 0 c c 0 0
c 0 0 0 c c
c b c c 0 b
c b 0 0 c a
a a a a 0 a
a a b b c b
a c a a 0 c
a c b b c 0
c a c c 0 a
c a 0 0 c b
c c c c 0 c
c c 0 0 c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 5x3 + 4x4 + 15x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)4 (X_b)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_b)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_b)5 + (X_a)3 (X_b)2 (X_c)1 + (X_0)4 (X_a)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_a)2 (X_b)3 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)3 (X_b)2 + (X_a)2 (X_b)3 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)5 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0

Is it a nice code?: No

Generator Matrix-1297

a 0 a a 0 0
0 a 0 0 a 0
b 0 b b 0 0
0 b 0 0 b 0
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b 0 0 b 0
0 b c 0 b 0
b 0 b b 0 0
b 0 a b 0 0
b b b b b 0
b b a b b 0
0 a 0 0 a 0
0 a c 0 a 0
0 c 0 0 c 0
0 c c 0 c 0
b a b b a 0
b a a b a 0
b c b b c 0
b c a b c 0
a 0 a a 0 0
a 0 b a 0 0
a b a a b 0
a b b a b 0
c 0 c c 0 0
c 0 0 c 0 0
c b c c b 0
c b 0 c b 0
a a a a a 0
a a b a a 0
a c a a c 0
a c b a c 0
c a c c a 0
c a 0 c a 0
c c c c c 0
c c 0 c c 0

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 4x2 + 8x3 + 3x4 + 15x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)4 (X_b)2 + (X_0)3 (X_b)2 (X_c)1 + (X_0)3 (X_b)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)1 (X_b)5 + (X_0)1 (X_a)1 (X_b)4 + (X_0)4 (X_a)2 + (X_0)3 (X_a)2 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)2 (X_b)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)5 + (X_0)1 (X_a)4 (X_b)1 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c

Is it a nice code?: No

Generator Matrix-1298

a 0 a a 0 0
0 a 0 0 a 0
b 0 b b 0 0
0 b 0 0 b 0
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b 0 0 b 0
0 b c 0 b c
b 0 b b 0 0
b 0 a b 0 c
b b b b b 0
b b a b b c
0 a 0 0 a 0
0 a c 0 a c
0 c 0 0 c 0
0 c c 0 c c
b a b b a 0
b a a b a c
b c b b c 0
b c a b c c
a 0 a a 0 0
a 0 b a 0 c
a b a a b 0
a b b a b c
c 0 c c 0 0
c 0 0 c 0 c
c b c c b 0
c b 0 c b c
a a a a a 0
a a b a a c
a c a a c 0
a c b a c c
c a c c a 0
c a 0 c a c
c c c c c 0
c c 0 c c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 4x3 + 5x4 + 12x5 + 6x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_b)5 + (X_a)1 (X_b)4 (X_c)1 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_a)2 (X_b)3 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_b)3 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_a)2 (X_b)3 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_b)2 (X_c)3 + (X_0)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)5 + (X_a)4 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)2 (X_c)3 + (X_0)1 (X_a)2 (X_c)3 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c

Is it a nice code?: No

Generator Matrix-1299

a 0 a a 0 0
0 a 0 0 a 0
b 0 b b 0 0
0 b 0 0 b 0
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b 0 0 b 0
0 b c 0 a 0
b 0 b b 0 0
b 0 a b c 0
b b b b b 0
b b a b a 0
0 a 0 0 a 0
0 a c 0 b 0
0 c 0 0 c 0
0 c c 0 0 0
b a b b a 0
b a a b b 0
b c b b c 0
b c a b 0 0
a 0 a a 0 0
a 0 b a c 0
a b a a b 0
a b b a a 0
c 0 c c 0 0
c 0 0 c c 0
c b c c b 0
c b 0 c a 0
a a a a a 0
a a b a b 0
a c a a c 0
a c b a 0 0
c a c c a 0
c a 0 c b 0
c c c c c 0
c c 0 c 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 5x2 + 7x3 + 6x4 + 13x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_b)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_b)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)4 (X_a)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)3 (X_b)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)3 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c

Is it a nice code?: No

Generator Matrix-1300

a 0 a a 0 0
0 a 0 0 a 0
b 0 b b 0 0
0 b 0 0 b 0
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b 0 0 b 0
0 b c 0 a c
b 0 b b 0 0
b 0 a b c c
b b b b b 0
b b a b a c
0 a 0 0 a 0
0 a c 0 b c
0 c 0 0 c 0
0 c c 0 0 c
b a b b a 0
b a a b b c
b c b b c 0
b c a b 0 c
a 0 a a 0 0
a 0 b a c c
a b a a b 0
a b b a a c
c 0 c c 0 0
c 0 0 c c c
c b c c b 0
c b 0 c a c
a a a a a 0
a a b a b c
a c a a c 0
a c b a 0 c
c a c c a 0
c a 0 c b c
c c c c c 0
c c 0 c 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 5x3 + 4x4 + 15x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_b)5 + (X_a)2 (X_b)3 (X_c)1 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)3 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_b)2 + (X_a)3 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)5 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c

Is it a nice code?: No

Generator Matrix-1301

a 0 a a 0 0
0 a 0 0 a 0
b 0 b b 0 0
0 b 0 0 b 0
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b 0 0 b 0
0 b c c b 0
b 0 b b 0 0
b 0 a a 0 0
b b b b b 0
b b a a b 0
0 a 0 0 a 0
0 a c c a 0
0 c 0 0 c 0
0 c c c c 0
b a b b a 0
b a a a a 0
b c b b c 0
b c a a c 0
a 0 a a 0 0
a 0 b b 0 0
a b a a b 0
a b b b b 0
c 0 c c 0 0
c 0 0 0 0 0
c b c c b 0
c b 0 0 b 0
a a a a a 0
a a b b a 0
a c a a c 0
a c b b c 0
c a c c a 0
c a 0 0 a 0
c c c c c 0
c c 0 0 c 0

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 4x2 + 8x3 + 3x4 + 15x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)3 (X_b)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)1 (X_b)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)4 (X_b)1 + (X_0)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)1 (X_b)4 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)1 (X_b)2 (X_c)3 + (X_0)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)3 (X_a)2 (X_c)1 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c

Is it a nice code?: No

Generator Matrix-1302

a 0 a a 0 0
0 a 0 0 a 0
b 0 b b 0 0
0 b 0 0 b 0
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b 0 0 b 0
0 b c c b c
b 0 b b 0 0
b 0 a a 0 c
b b b b b 0
b b a a b c
0 a 0 0 a 0
0 a c c a c
0 c 0 0 c 0
0 c c c c c
b a b b a 0
b a a a a c
b c b b c 0
b c a a c c
a 0 a a 0 0
a 0 b b 0 c
a b a a b 0
a b b b b c
c 0 c c 0 0
c 0 0 0 0 c
c b c c b 0
c b 0 0 b c
a a a a a 0
a a b b a c
a c a a c 0
a c b b c c
c a c c a 0
c a 0 0 a c
c c c c c 0
c c 0 0 c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 4x3 + 5x4 + 12x5 + 6x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)4 (X_b)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_b)5 + (X_a)2 (X_b)3 (X_c)1 + (X_0)4 (X_a)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5 + (X_0)1 (X_a)2 (X_b)3 + (X_a)4 (X_b)1 (X_c)1 + (X_0)1 (X_b)3 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_a)1 (X_b)4 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)5 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)2 (X_c)3 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c

Is it a nice code?: No

Generator Matrix-1303

a 0 a a 0 0
0 a 0 0 a 0
b 0 b b 0 0
0 b 0 0 b 0
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b 0 0 b 0
0 b c c a 0
b 0 b b 0 0
b 0 a a c 0
b b b b b 0
b b a a a 0
0 a 0 0 a 0
0 a c c b 0
0 c 0 0 c 0
0 c c c 0 0
b a b b a 0
b a a a b 0
b c b b c 0
b c a a 0 0
a 0 a a 0 0
a 0 b b c 0
a b a a b 0
a b b b a 0
c 0 c c 0 0
c 0 0 0 c 0
c b c c b 0
c b 0 0 a 0
a a a a a 0
a a b b b 0
a c a a c 0
a c b b 0 0
c a c c a 0
c a 0 0 b 0
c c c c c 0
c c 0 0 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 5x2 + 7x3 + 6x4 + 13x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_b)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)2 (X_b)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_c)3 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c

Is it a nice code?: No

Generator Matrix-1304

a 0 a a 0 0
0 a 0 0 a 0
b 0 b b 0 0
0 b 0 0 b 0
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b 0 0 b 0
0 b c c a c
b 0 b b 0 0
b 0 a a c c
b b b b b 0
b b a a a c
0 a 0 0 a 0
0 a c c b c
0 c 0 0 c 0
0 c c c 0 c
b a b b a 0
b a a a b c
b c b b c 0
b c a a 0 c
a 0 a a 0 0
a 0 b b c c
a b a a b 0
a b b b a c
c 0 c c 0 0
c 0 0 0 c c
c b c c b 0
c b 0 0 a c
a a a a a 0
a a b b b c
a c a a c 0
a c b b 0 c
c a c c a 0
c a 0 0 b c
c c c c c 0
c c 0 0 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 5x3 + 4x4 + 15x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)4 (X_b)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_b)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_b)5 + (X_a)3 (X_b)2 (X_c)1 + (X_0)4 (X_a)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_a)2 (X_b)3 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)3 (X_b)2 + (X_a)2 (X_b)3 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)5 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c

Is it a nice code?: No

Generator Matrix-1305

a 0 a a 0 0
0 a 0 0 a a
b 0 b b 0 0
0 b 0 0 b b
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b 0 0 b b
0 b c 0 b b
b 0 b b 0 0
b 0 a b 0 0
b b b b b b
b b a b b b
0 a 0 0 a a
0 a c 0 a a
0 c 0 0 c c
0 c c 0 c c
b a b b a a
b a a b a a
b c b b c c
b c a b c c
a 0 a a 0 0
a 0 b a 0 0
a b a a b b
a b b a b b
c 0 c c 0 0
c 0 0 c 0 0
c b c c b b
c b 0 c b b
a a a a a a
a a b a a a
a c a a c c
a c b a c c
c a c c a a
c a 0 c a a
c c c c c c
c c 0 c c c

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 1x2 + 8x3 + 3x4 + 3x5 + 15x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_b)3 (X_c)1 + (X_0)3 (X_b)3 + (X_0)3 (X_a)1 (X_b)2 + (X_b)6 + (X_a)1 (X_b)5 + (X_0)3 (X_a)3 + (X_0)2 (X_a)3 (X_c)1 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_a)3 (X_b)3 + (X_a)4 (X_b)2 + (X_b)3 (X_c)3 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)3 + (X_0)3 (X_a)2 (X_b)1 + (X_a)3 (X_b)3 + (X_a)2 (X_b)4 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_b)3 (X_c)3 + (X_0)1 (X_b)3 (X_c)2 + (X_a)6 + (X_a)5 (X_b)1 + (X_a)3 (X_c)3 + (X_a)2 (X_b)1 (X_c)3 + (X_a)3 (X_c)3 + (X_0)1 (X_a)3 (X_c)2 + (X_c)6 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1306

a 0 a a 0 0
0 a 0 0 a a
b 0 b b 0 0
0 b 0 0 b b
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b 0 0 b b
0 b c 0 b a
b 0 b b 0 0
b 0 a b 0 c
b b b b b b
b b a b b a
0 a 0 0 a a
0 a c 0 a b
0 c 0 0 c c
0 c c 0 c 0
b a b b a a
b a a b a b
b c b b c c
b c a b c 0
a 0 a a 0 0
a 0 b a 0 c
a b a a b b
a b b a b a
c 0 c c 0 0
c 0 0 c 0 c
c b c c b b
c b 0 c b a
a a a a a a
a a b a a b
a c a a c c
a c b a c 0
c a c c a a
c a 0 c a b
c c c c c c
c c 0 c c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 8x3 + 5x4 + 4x5 + 13x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_b)6 + (X_a)2 (X_b)4 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_a)3 (X_b)3 + (X_a)3 (X_b)3 + (X_b)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)3 (X_b)3 + (X_a)3 (X_b)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_b)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)6 + (X_a)4 (X_b)2 + (X_a)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_c)6 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1307

a 0 a a 0 0
0 a 0 0 a a
b 0 b b 0 0
0 b 0 0 b b
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b 0 0 b b
0 b c 0 a b
b 0 b b 0 0
b 0 a b c 0
b b b b b b
b b a b a b
0 a 0 0 a a
0 a c 0 b a
0 c 0 0 c c
0 c c 0 0 c
b a b b a a
b a a b b a
b c b b c c
b c a b 0 c
a 0 a a 0 0
a 0 b a c 0
a b a a b b
a b b a a b
c 0 c c 0 0
c 0 0 c c 0
c b c c b b
c b 0 c a b
a a a a a a
a a b a b a
a c a a c c
a c b a 0 c
c a c c a a
c a 0 c b a
c c c c c c
c c 0 c 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 8x3 + 5x4 + 4x5 + 13x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_b)6 + (X_a)2 (X_b)4 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_a)3 (X_b)3 + (X_a)3 (X_b)3 + (X_b)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)3 (X_b)3 + (X_a)3 (X_b)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_b)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)6 + (X_a)4 (X_b)2 + (X_a)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_c)6 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1308

a 0 a a 0 0
0 a 0 0 a a
b 0 b b 0 0
0 b 0 0 b b
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b 0 0 b b
0 b c 0 a a
b 0 b b 0 0
b 0 a b c c
b b b b b b
b b a b a a
0 a 0 0 a a
0 a c 0 b b
0 c 0 0 c c
0 c c 0 0 0
b a b b a a
b a a b b b
b c b b c c
b c a b 0 0
a 0 a a 0 0
a 0 b a c c
a b a a b b
a b b a a a
c 0 c c 0 0
c 0 0 c c c
c b c c b b
c b 0 c a a
a a a a a a
a a b a b b
a c a a c c
a c b a 0 0
c a c c a a
c a 0 c b b
c c c c c c
c c 0 c 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 8x3 + 5x4 + 4x5 + 13x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_b)6 + (X_a)3 (X_b)3 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_a)3 (X_b)3 + (X_a)2 (X_b)4 + (X_b)3 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)3 (X_b)3 + (X_a)4 (X_b)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_b)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)6 + (X_a)3 (X_b)3 + (X_a)3 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_c)6 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1309

a 0 a a 0 0
0 a 0 0 a a
b 0 b b 0 0
0 b 0 0 b b
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b 0 0 b b
0 b c c b b
b 0 b b 0 0
b 0 a a 0 0
b b b b b b
b b a a b b
0 a 0 0 a a
0 a c c a a
0 c 0 0 c c
0 c c c c c
b a b b a a
b a a a a a
b c b b c c
b c a a c c
a 0 a a 0 0
a 0 b b 0 0
a b a a b b
a b b b b b
c 0 c c 0 0
c 0 0 0 0 0
c b c c b b
c b 0 0 b b
a a a a a a
a a b b a a
a c a a c c
a c b b c c
c a c c a a
c a 0 0 a a
c c c c c c
c c 0 0 c c

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 1x2 + 8x3 + 3x4 + 3x5 + 15x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)3 (X_b)3 + (X_0)3 (X_a)2 (X_b)1 + (X_b)6 + (X_a)2 (X_b)4 + (X_0)3 (X_a)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_a)3 (X_b)3 + (X_a)5 (X_b)1 + (X_b)3 (X_c)3 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_a)3 + (X_0)3 (X_a)1 (X_b)2 + (X_a)3 (X_b)3 + (X_a)1 (X_b)5 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_b)3 (X_c)3 + (X_0)2 (X_b)3 (X_c)1 + (X_a)6 + (X_a)4 (X_b)2 + (X_a)3 (X_c)3 + (X_a)1 (X_b)2 (X_c)3 + (X_a)3 (X_c)3 + (X_0)2 (X_a)3 (X_c)1 + (X_c)6 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1310

a 0 a a 0 0
0 a 0 0 a a
b 0 b b 0 0
0 b 0 0 b b
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b 0 0 b b
0 b c c b a
b 0 b b 0 0
b 0 a a 0 c
b b b b b b
b b a a b a
0 a 0 0 a a
0 a c c a b
0 c 0 0 c c
0 c c c c 0
b a b b a a
b a a a a b
b c b b c c
b c a a c 0
a 0 a a 0 0
a 0 b b 0 c
a b a a b b
a b b b b a
c 0 c c 0 0
c 0 0 0 0 c
c b c c b b
c b 0 0 b a
a a a a a a
a a b b a b
a c a a c c
a c b b c 0
c a c c a a
c a 0 0 a b
c c c c c c
c c 0 0 c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 8x3 + 5x4 + 4x5 + 13x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_b)6 + (X_a)3 (X_b)3 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_a)3 (X_b)3 + (X_a)4 (X_b)2 + (X_b)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)3 (X_b)3 + (X_a)2 (X_b)4 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_b)3 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)6 + (X_a)3 (X_b)3 + (X_a)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)3 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_c)6 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1311

a 0 a a 0 0
0 a 0 0 a a
b 0 b b 0 0
0 b 0 0 b b
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b 0 0 b b
0 b c c a b
b 0 b b 0 0
b 0 a a c 0
b b b b b b
b b a a a b
0 a 0 0 a a
0 a c c b a
0 c 0 0 c c
0 c c c 0 c
b a b b a a
b a a a b a
b c b b c c
b c a a 0 c
a 0 a a 0 0
a 0 b b c 0
a b a a b b
a b b b a b
c 0 c c 0 0
c 0 0 0 c 0
c b c c b b
c b 0 0 a b
a a a a a a
a a b b b a
a c a a c c
a c b b 0 c
c a c c a a
c a 0 0 b a
c c c c c c
c c 0 0 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 8x3 + 5x4 + 4x5 + 13x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_b)6 + (X_a)3 (X_b)3 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_a)3 (X_b)3 + (X_a)4 (X_b)2 + (X_b)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)3 (X_b)3 + (X_a)2 (X_b)4 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_b)3 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)6 + (X_a)3 (X_b)3 + (X_a)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)3 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_c)6 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1312

a 0 a a 0 0
0 a 0 0 a a
b 0 b b 0 0
0 b 0 0 b b
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b 0 0 b b
0 b c c a a
b 0 b b 0 0
b 0 a a c c
b b b b b b
b b a a a a
0 a 0 0 a a
0 a c c b b
0 c 0 0 c c
0 c c c 0 0
b a b b a a
b a a a b b
b c b b c c
b c a a 0 0
a 0 a a 0 0
a 0 b b c c
a b a a b b
a b b b a a
c 0 c c 0 0
c 0 0 0 c c
c b c c b b
c b 0 0 a a
a a a a a a
a a b b b b
a c a a c c
a c b b 0 0
c a c c a a
c a 0 0 b b
c c c c c c
c c 0 0 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 8x3 + 5x4 + 4x5 + 13x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)3 (X_b)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_b)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_b)6 + (X_a)4 (X_b)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_a)3 (X_b)3 + (X_a)3 (X_b)3 + (X_b)3 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_a)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)3 (X_b)3 + (X_a)3 (X_b)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_b)3 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)6 + (X_a)2 (X_b)4 + (X_a)3 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)3 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_c)6 + (X_0)4 (X_c)2

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1313

a 0 a a 0 0
0 a 0 a 0 0
b 0 b b 0 0
0 b 0 b 0 0
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b 0 b 0 0
0 b c b 0 0
b 0 b b 0 0
b 0 a b 0 0
b b b 0 0 0
b b a 0 0 0
0 a 0 a 0 0
0 a c a 0 0
0 c 0 c 0 0
0 c c c 0 0
b a b c 0 0
b a a c 0 0
b c b a 0 0
b c a a 0 0
a 0 a a 0 0
a 0 b a 0 0
a b a c 0 0
a b b c 0 0
c 0 c c 0 0
c 0 0 c 0 0
c b c a 0 0
c b 0 a 0 0
a a a 0 0 0
a a b 0 0 0
a c a b 0 0
a c b b 0 0
c a c b 0 0
c a 0 b 0 0
c c c 0 0 0
c c 0 0 0 0

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 5x2 + 15x3 + 10x4 + 0x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)4 (X_b)2 + (X_0)3 (X_b)2 (X_c)1 + (X_0)3 (X_b)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)3 (X_b)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)4 (X_a)2 + (X_0)3 (X_a)2 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_a)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)3 (X_a)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c

Is it a nice code?: No

Generator Matrix-1314

a 0 a a 0 0
0 a 0 a 0 0
b 0 b b 0 0
0 b 0 b 0 0
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b 0 b 0 0
0 b c b 0 c
b 0 b b 0 0
b 0 a b 0 c
b b b 0 0 0
b b a 0 0 c
0 a 0 a 0 0
0 a c a 0 c
0 c 0 c 0 0
0 c c c 0 c
b a b c 0 0
b a a c 0 c
b c b a 0 0
b c a a 0 c
a 0 a a 0 0
a 0 b a 0 c
a b a c 0 0
a b b c 0 c
c 0 c c 0 0
c 0 0 c 0 c
c b c a 0 0
c b 0 a 0 c
a a a 0 0 0
a a b 0 0 c
a c a b 0 0
a c b b 0 c
c a c b 0 0
c a 0 b 0 c
c c c 0 0 0
c c 0 0 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 8x3 + 15x4 + 4x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c

Is it a nice code?: No

Generator Matrix-1315

a 0 a a 0 0
0 a 0 a 0 0
b 0 b b 0 0
0 b 0 b 0 0
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b 0 b 0 0
0 b c b c 0
b 0 b b 0 0
b 0 a b c 0
b b b 0 0 0
b b a 0 c 0
0 a 0 a 0 0
0 a c a c 0
0 c 0 c 0 0
0 c c c c 0
b a b c 0 0
b a a c c 0
b c b a 0 0
b c a a c 0
a 0 a a 0 0
a 0 b a c 0
a b a c 0 0
a b b c c 0
c 0 c c 0 0
c 0 0 c c 0
c b c a 0 0
c b 0 a c 0
a a a 0 0 0
a a b 0 c 0
a c a b 0 0
a c b b c 0
c a c b 0 0
c a 0 b c 0
c c c 0 0 0
c c 0 0 c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 8x3 + 15x4 + 4x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c

Is it a nice code?: No

Generator Matrix-1316

a 0 a a 0 0
0 a 0 a 0 0
b 0 b b 0 0
0 b 0 b 0 0
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b 0 b 0 0
0 b c b c c
b 0 b b 0 0
b 0 a b c c
b b b 0 0 0
b b a 0 c c
0 a 0 a 0 0
0 a c a c c
0 c 0 c 0 0
0 c c c c c
b a b c 0 0
b a a c c c
b c b a 0 0
b c a a c c
a 0 a a 0 0
a 0 b a c c
a b a c 0 0
a b b c c c
c 0 c c 0 0
c 0 0 c c c
c b c a 0 0
c b 0 a c c
a a a 0 0 0
a a b 0 c c
a c a b 0 0
a c b b c c
c a c b 0 0
c a 0 b c c
c c c 0 0 0
c c 0 0 c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 7x3 + 8x4 + 9x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)4 (X_b)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)4 (X_a)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c

Is it a nice code?: No

Generator Matrix-1317

a 0 a a 0 0
0 a 0 a 0 0
b 0 b b 0 0
0 b 0 b 0 0
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b 0 b 0 0
0 b c a 0 0
b 0 b b 0 0
b 0 a a 0 0
b b b 0 0 0
b b a c 0 0
0 a 0 a 0 0
0 a c b 0 0
0 c 0 c 0 0
0 c c 0 0 0
b a b c 0 0
b a a 0 0 0
b c b a 0 0
b c a b 0 0
a 0 a a 0 0
a 0 b b 0 0
a b a c 0 0
a b b 0 0 0
c 0 c c 0 0
c 0 0 0 0 0
c b c a 0 0
c b 0 b 0 0
a a a 0 0 0
a a b c 0 0
a c a b 0 0
a c b a 0 0
c a c b 0 0
c a 0 a 0 0
c c c 0 0 0
c c 0 c 0 0

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 5x2 + 15x3 + 10x4 + 0x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_b)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)3 (X_b)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)4 (X_a)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_a)2 (X_b)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_a)1 (X_b)2 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_a)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c

Is it a nice code?: No

Generator Matrix-1318

a 0 a a 0 0
0 a 0 a 0 0
b 0 b b 0 0
0 b 0 b 0 0
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b 0 b 0 0
0 b c a 0 c
b 0 b b 0 0
b 0 a a 0 c
b b b 0 0 0
b b a c 0 c
0 a 0 a 0 0
0 a c b 0 c
0 c 0 c 0 0
0 c c 0 0 c
b a b c 0 0
b a a 0 0 c
b c b a 0 0
b c a b 0 c
a 0 a a 0 0
a 0 b b 0 c
a b a c 0 0
a b b 0 0 c
c 0 c c 0 0
c 0 0 0 0 c
c b c a 0 0
c b 0 b 0 c
a a a 0 0 0
a a b c 0 c
a c a b 0 0
a c b a 0 c
c a c b 0 0
c a 0 a 0 c
c c c 0 0 0
c c 0 c 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 8x3 + 15x4 + 4x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c

Is it a nice code?: No

Generator Matrix-1319

a 0 a a 0 0
0 a 0 a 0 0
b 0 b b 0 0
0 b 0 b 0 0
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b 0 b 0 0
0 b c a c 0
b 0 b b 0 0
b 0 a a c 0
b b b 0 0 0
b b a c c 0
0 a 0 a 0 0
0 a c b c 0
0 c 0 c 0 0
0 c c 0 c 0
b a b c 0 0
b a a 0 c 0
b c b a 0 0
b c a b c 0
a 0 a a 0 0
a 0 b b c 0
a b a c 0 0
a b b 0 c 0
c 0 c c 0 0
c 0 0 0 c 0
c b c a 0 0
c b 0 b c 0
a a a 0 0 0
a a b c c 0
a c a b 0 0
a c b a c 0
c a c b 0 0
c a 0 a c 0
c c c 0 0 0
c c 0 c c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 8x3 + 15x4 + 4x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c

Is it a nice code?: No

Generator Matrix-1320

a 0 a a 0 0
0 a 0 a 0 0
b 0 b b 0 0
0 b 0 b 0 0
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b 0 b 0 0
0 b c a c c
b 0 b b 0 0
b 0 a a c c
b b b 0 0 0
b b a c c c
0 a 0 a 0 0
0 a c b c c
0 c 0 c 0 0
0 c c 0 c c
b a b c 0 0
b a a 0 c c
b c b a 0 0
b c a b c c
a 0 a a 0 0
a 0 b b c c
a b a c 0 0
a b b 0 c c
c 0 c c 0 0
c 0 0 0 c c
c b c a 0 0
c b 0 b c c
a a a 0 0 0
a a b c c c
a c a b 0 0
a c b a c c
c a c b 0 0
c a 0 a c c
c c c 0 0 0
c c 0 c c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 7x3 + 8x4 + 9x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)4 (X_b)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_b)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_b)3 + (X_a)1 (X_b)2 (X_c)3 + (X_0)4 (X_a)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)3 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c

Is it a nice code?: No

Generator Matrix-1321

a 0 a a 0 0
0 a 0 a 0 a
b 0 b b 0 0
0 b 0 b 0 b
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b 0 b 0 b
0 b c b 0 b
b 0 b b 0 0
b 0 a b 0 0
b b b 0 0 b
b b a 0 0 b
0 a 0 a 0 a
0 a c a 0 a
0 c 0 c 0 c
0 c c c 0 c
b a b c 0 a
b a a c 0 a
b c b a 0 c
b c a a 0 c
a 0 a a 0 0
a 0 b a 0 0
a b a c 0 b
a b b c 0 b
c 0 c c 0 0
c 0 0 c 0 0
c b c a 0 b
c b 0 a 0 b
a a a 0 0 a
a a b 0 0 a
a c a b 0 c
a c b b 0 c
c a c b 0 a
c a 0 b 0 a
c c c 0 0 c
c c 0 0 0 c

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 1x2 + 9x3 + 10x4 + 10x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_b)3 (X_c)1 + (X_0)3 (X_b)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)2 (X_b)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)3 (X_a)3 + (X_0)2 (X_a)3 (X_c)1 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0

Is it a nice code?: No

Generator Matrix-1322

a 0 a a 0 0
0 a 0 a 0 a
b 0 b b 0 0
0 b 0 b 0 b
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b 0 b 0 b
0 b c b 0 a
b 0 b b 0 0
b 0 a b 0 c
b b b 0 0 b
b b a 0 0 a
0 a 0 a 0 a
0 a c a 0 b
0 c 0 c 0 c
0 c c c 0 0
b a b c 0 a
b a a c 0 b
b c b a 0 c
b c a a 0 0
a 0 a a 0 0
a 0 b a 0 c
a b a c 0 b
a b b c 0 a
c 0 c c 0 0
c 0 0 c 0 c
c b c a 0 b
c b 0 a 0 a
a a a 0 0 a
a a b 0 0 b
a c a b 0 c
a c b b 0 0
c a c b 0 a
c a 0 b 0 b
c c c 0 0 c
c c 0 0 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 2x2 + 8x3 + 13x4 + 8x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0

Is it a nice code?: No

Generator Matrix-1323

a 0 a a 0 0
0 a 0 a 0 a
b 0 b b 0 0
0 b 0 b 0 b
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b 0 b 0 b
0 b c b c b
b 0 b b 0 0
b 0 a b c 0
b b b 0 0 b
b b a 0 c b
0 a 0 a 0 a
0 a c a c a
0 c 0 c 0 c
0 c c c c c
b a b c 0 a
b a a c c a
b c b a 0 c
b c a a c c
a 0 a a 0 0
a 0 b a c 0
a b a c 0 b
a b b c c b
c 0 c c 0 0
c 0 0 c c 0
c b c a 0 b
c b 0 a c b
a a a 0 0 a
a a b 0 c a
a c a b 0 c
a c b b c c
c a c b 0 a
c a 0 b c a
c c c 0 0 c
c c 0 0 c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 7x3 + 6x4 + 13x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)3 (X_a)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0

Is it a nice code?: No

Generator Matrix-1324

a 0 a a 0 0
0 a 0 a 0 a
b 0 b b 0 0
0 b 0 b 0 b
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b 0 b 0 b
0 b c b c a
b 0 b b 0 0
b 0 a b c c
b b b 0 0 b
b b a 0 c a
0 a 0 a 0 a
0 a c a c b
0 c 0 c 0 c
0 c c c c 0
b a b c 0 a
b a a c c b
b c b a 0 c
b c a a c 0
a 0 a a 0 0
a 0 b a c c
a b a c 0 b
a b b c c a
c 0 c c 0 0
c 0 0 c c c
c b c a 0 b
c b 0 a c a
a a a 0 0 a
a a b 0 c b
a c a b 0 c
a c b b c 0
c a c b 0 a
c a 0 b c b
c c c 0 0 c
c c 0 0 c 0

dmin: 3
Weight Enumerator: 1x0 + 0x1 + 0x2 + 8x3 + 5x4 + 16x5 + 2x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0

Is it a nice code?: No

Generator Matrix-1325

a 0 a a 0 0
0 a 0 a 0 a
b 0 b b 0 0
0 b 0 b 0 b
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b 0 b 0 b
0 b c a 0 b
b 0 b b 0 0
b 0 a a 0 0
b b b 0 0 b
b b a c 0 b
0 a 0 a 0 a
0 a c b 0 a
0 c 0 c 0 c
0 c c 0 0 c
b a b c 0 a
b a a 0 0 a
b c b a 0 c
b c a b 0 c
a 0 a a 0 0
a 0 b b 0 0
a b a c 0 b
a b b 0 0 b
c 0 c c 0 0
c 0 0 0 0 0
c b c a 0 b
c b 0 b 0 b
a a a 0 0 a
a a b c 0 a
a c a b 0 c
a c b a 0 c
c a c b 0 a
c a 0 a 0 a
c c c 0 0 c
c c 0 c 0 c

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 1x2 + 9x3 + 10x4 + 10x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_b)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)3 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)3 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0

Is it a nice code?: No

Generator Matrix-1326

a 0 a a 0 0
0 a 0 a 0 a
b 0 b b 0 0
0 b 0 b 0 b
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b 0 b 0 b
0 b c a 0 a
b 0 b b 0 0
b 0 a a 0 c
b b b 0 0 b
b b a c 0 a
0 a 0 a 0 a
0 a c b 0 b
0 c 0 c 0 c
0 c c 0 0 0
b a b c 0 a
b a a 0 0 b
b c b a 0 c
b c a b 0 0
a 0 a a 0 0
a 0 b b 0 c
a b a c 0 b
a b b 0 0 a
c 0 c c 0 0
c 0 0 0 0 c
c b c a 0 b
c b 0 b 0 a
a a a 0 0 a
a a b c 0 b
a c a b 0 c
a c b a 0 0
c a c b 0 a
c a 0 a 0 b
c c c 0 0 c
c c 0 c 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 2x2 + 8x3 + 13x4 + 8x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0

Is it a nice code?: No

Generator Matrix-1327

a 0 a a 0 0
0 a 0 a 0 a
b 0 b b 0 0
0 b 0 b 0 b
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b 0 b 0 b
0 b c a c b
b 0 b b 0 0
b 0 a a c 0
b b b 0 0 b
b b a c c b
0 a 0 a 0 a
0 a c b c a
0 c 0 c 0 c
0 c c 0 c c
b a b c 0 a
b a a 0 c a
b c b a 0 c
b c a b c c
a 0 a a 0 0
a 0 b b c 0
a b a c 0 b
a b b 0 c b
c 0 c c 0 0
c 0 0 0 c 0
c b c a 0 b
c b 0 b c b
a a a 0 0 a
a a b c c a
a c a b 0 c
a c b a c c
c a c b 0 a
c a 0 a c a
c c c 0 0 c
c c 0 c c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 7x3 + 6x4 + 13x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_b)4 + (X_a)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)4 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0

Is it a nice code?: No

Generator Matrix-1328

a 0 a a 0 0
0 a 0 a 0 a
b 0 b b 0 0
0 b 0 b 0 b
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b 0 b 0 b
0 b c a c a
b 0 b b 0 0
b 0 a a c c
b b b 0 0 b
b b a c c a
0 a 0 a 0 a
0 a c b c b
0 c 0 c 0 c
0 c c 0 c 0
b a b c 0 a
b a a 0 c b
b c b a 0 c
b c a b c 0
a 0 a a 0 0
a 0 b b c c
a b a c 0 b
a b b 0 c a
c 0 c c 0 0
c 0 0 0 c c
c b c a 0 b
c b 0 b c a
a a a 0 0 a
a a b c c b
a c a b 0 c
a c b a c 0
c a c b 0 a
c a 0 a c b
c c c 0 0 c
c c 0 c c 0

dmin: 3
Weight Enumerator: 1x0 + 0x1 + 0x2 + 8x3 + 5x4 + 16x5 + 2x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)3 (X_b)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_b)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_b)4 + (X_a)2 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0

Is it a nice code?: No

Generator Matrix-1329

a 0 a a 0 0
0 a 0 a a 0
b 0 b b 0 0
0 b 0 b b 0
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b 0 b b 0
0 b c b b 0
b 0 b b 0 0
b 0 a b 0 0
b b b 0 b 0
b b a 0 b 0
0 a 0 a a 0
0 a c a a 0
0 c 0 c c 0
0 c c c c 0
b a b c a 0
b a a c a 0
b c b a c 0
b c a a c 0
a 0 a a 0 0
a 0 b a 0 0
a b a c b 0
a b b c b 0
c 0 c c 0 0
c 0 0 c 0 0
c b c a b 0
c b 0 a b 0
a a a 0 a 0
a a b 0 a 0
a c a b c 0
a c b b c 0
c a c b a 0
c a 0 b a 0
c c c 0 c 0
c c 0 0 c 0

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 1x2 + 9x3 + 10x4 + 10x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_b)3 (X_c)1 + (X_0)3 (X_b)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)2 (X_b)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)3 (X_a)3 + (X_0)2 (X_a)3 (X_c)1 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c

Is it a nice code?: No

Generator Matrix-1330

a 0 a a 0 0
0 a 0 a a 0
b 0 b b 0 0
0 b 0 b b 0
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b 0 b b 0
0 b c b b c
b 0 b b 0 0
b 0 a b 0 c
b b b 0 b 0
b b a 0 b c
0 a 0 a a 0
0 a c a a c
0 c 0 c c 0
0 c c c c c
b a b c a 0
b a a c a c
b c b a c 0
b c a a c c
a 0 a a 0 0
a 0 b a 0 c
a b a c b 0
a b b c b c
c 0 c c 0 0
c 0 0 c 0 c
c b c a b 0
c b 0 a b c
a a a 0 a 0
a a b 0 a c
a c a b c 0
a c b b c c
c a c b a 0
c a 0 b a c
c c c 0 c 0
c c 0 0 c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 7x3 + 6x4 + 13x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)3 (X_a)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c

Is it a nice code?: No

Generator Matrix-1331

a 0 a a 0 0
0 a 0 a a 0
b 0 b b 0 0
0 b 0 b b 0
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b 0 b b 0
0 b c b a 0
b 0 b b 0 0
b 0 a b c 0
b b b 0 b 0
b b a 0 a 0
0 a 0 a a 0
0 a c a b 0
0 c 0 c c 0
0 c c c 0 0
b a b c a 0
b a a c b 0
b c b a c 0
b c a a 0 0
a 0 a a 0 0
a 0 b a c 0
a b a c b 0
a b b c a 0
c 0 c c 0 0
c 0 0 c c 0
c b c a b 0
c b 0 a a 0
a a a 0 a 0
a a b 0 b 0
a c a b c 0
a c b b 0 0
c a c b a 0
c a 0 b b 0
c c c 0 c 0
c c 0 0 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 2x2 + 8x3 + 13x4 + 8x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c

Is it a nice code?: No

Generator Matrix-1332

a 0 a a 0 0
0 a 0 a a 0
b 0 b b 0 0
0 b 0 b b 0
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b 0 b b 0
0 b c b a c
b 0 b b 0 0
b 0 a b c c
b b b 0 b 0
b b a 0 a c
0 a 0 a a 0
0 a c a b c
0 c 0 c c 0
0 c c c 0 c
b a b c a 0
b a a c b c
b c b a c 0
b c a a 0 c
a 0 a a 0 0
a 0 b a c c
a b a c b 0
a b b c a c
c 0 c c 0 0
c 0 0 c c c
c b c a b 0
c b 0 a a c
a a a 0 a 0
a a b 0 b c
a c a b c 0
a c b b 0 c
c a c b a 0
c a 0 b b c
c c c 0 c 0
c c 0 0 0 c

dmin: 3
Weight Enumerator: 1x0 + 0x1 + 0x2 + 8x3 + 5x4 + 16x5 + 2x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c

Is it a nice code?: No

Generator Matrix-1333

a 0 a a 0 0
0 a 0 a a 0
b 0 b b 0 0
0 b 0 b b 0
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b 0 b b 0
0 b c a b 0
b 0 b b 0 0
b 0 a a 0 0
b b b 0 b 0
b b a c b 0
0 a 0 a a 0
0 a c b a 0
0 c 0 c c 0
0 c c 0 c 0
b a b c a 0
b a a 0 a 0
b c b a c 0
b c a b c 0
a 0 a a 0 0
a 0 b b 0 0
a b a c b 0
a b b 0 b 0
c 0 c c 0 0
c 0 0 0 0 0
c b c a b 0
c b 0 b b 0
a a a 0 a 0
a a b c a 0
a c a b c 0
a c b a c 0
c a c b a 0
c a 0 a a 0
c c c 0 c 0
c c 0 c c 0

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 1x2 + 9x3 + 10x4 + 10x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_b)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)3 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)3 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c

Is it a nice code?: No

Generator Matrix-1334

a 0 a a 0 0
0 a 0 a a 0
b 0 b b 0 0
0 b 0 b b 0
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b 0 b b 0
0 b c a b c
b 0 b b 0 0
b 0 a a 0 c
b b b 0 b 0
b b a c b c
0 a 0 a a 0
0 a c b a c
0 c 0 c c 0
0 c c 0 c c
b a b c a 0
b a a 0 a c
b c b a c 0
b c a b c c
a 0 a a 0 0
a 0 b b 0 c
a b a c b 0
a b b 0 b c
c 0 c c 0 0
c 0 0 0 0 c
c b c a b 0
c b 0 b b c
a a a 0 a 0
a a b c a c
a c a b c 0
a c b a c c
c a c b a 0
c a 0 a a c
c c c 0 c 0
c c 0 c c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 7x3 + 6x4 + 13x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_b)4 + (X_a)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)4 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c

Is it a nice code?: No

Generator Matrix-1335

a 0 a a 0 0
0 a 0 a a 0
b 0 b b 0 0
0 b 0 b b 0
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b 0 b b 0
0 b c a a 0
b 0 b b 0 0
b 0 a a c 0
b b b 0 b 0
b b a c a 0
0 a 0 a a 0
0 a c b b 0
0 c 0 c c 0
0 c c 0 0 0
b a b c a 0
b a a 0 b 0
b c b a c 0
b c a b 0 0
a 0 a a 0 0
a 0 b b c 0
a b a c b 0
a b b 0 a 0
c 0 c c 0 0
c 0 0 0 c 0
c b c a b 0
c b 0 b a 0
a a a 0 a 0
a a b c b 0
a c a b c 0
a c b a 0 0
c a c b a 0
c a 0 a b 0
c c c 0 c 0
c c 0 c 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 2x2 + 8x3 + 13x4 + 8x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c

Is it a nice code?: No

Generator Matrix-1336

a 0 a a 0 0
0 a 0 a a 0
b 0 b b 0 0
0 b 0 b b 0
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b 0 b b 0
0 b c a a c
b 0 b b 0 0
b 0 a a c c
b b b 0 b 0
b b a c a c
0 a 0 a a 0
0 a c b b c
0 c 0 c c 0
0 c c 0 0 c
b a b c a 0
b a a 0 b c
b c b a c 0
b c a b 0 c
a 0 a a 0 0
a 0 b b c c
a b a c b 0
a b b 0 a c
c 0 c c 0 0
c 0 0 0 c c
c b c a b 0
c b 0 b a c
a a a 0 a 0
a a b c b c
a c a b c 0
a c b a 0 c
c a c b a 0
c a 0 a b c
c c c 0 c 0
c c 0 c 0 c

dmin: 3
Weight Enumerator: 1x0 + 0x1 + 0x2 + 8x3 + 5x4 + 16x5 + 2x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)3 (X_b)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_b)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_b)4 + (X_a)2 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c

Is it a nice code?: No

Generator Matrix-1337

a 0 a a 0 0
0 a 0 a a a
b 0 b b 0 0
0 b 0 b b b
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b 0 b b b
0 b c b b b
b 0 b b 0 0
b 0 a b 0 0
b b b 0 b b
b b a 0 b b
0 a 0 a a a
0 a c a a a
0 c 0 c c c
0 c c c c c
b a b c a a
b a a c a a
b c b a c c
b c a a c c
a 0 a a 0 0
a 0 b a 0 0
a b a c b b
a b b c b b
c 0 c c 0 0
c 0 0 c 0 0
c b c a b b
c b 0 a b b
a a a 0 a a
a a b 0 a a
a c a b c c
a c b b c c
c a c b a a
c a 0 b a a
c c c 0 c c
c c 0 0 c c

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 1x2 + 5x3 + 4x4 + 10x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_b)4 (X_c)1 + (X_0)3 (X_b)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)1 (X_b)5 + (X_0)1 (X_a)1 (X_b)4 + (X_0)2 (X_a)4 + (X_0)1 (X_a)4 (X_c)1 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_a)3 (X_b)2 (X_c)1 + (X_a)4 (X_b)1 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_a)3 + (X_0)3 (X_a)2 (X_b)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)1 (X_b)4 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)4 (X_b)1 + (X_a)2 (X_b)1 (X_c)3 + (X_a)1 (X_b)2 (X_c)3 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1338

a 0 a a 0 0
0 a 0 a a a
b 0 b b 0 0
0 b 0 b b b
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b 0 b b b
0 b c b b a
b 0 b b 0 0
b 0 a b 0 c
b b b 0 b b
b b a 0 b a
0 a 0 a a a
0 a c a a b
0 c 0 c c c
0 c c c c 0
b a b c a a
b a a c a b
b c b a c c
b c a a c 0
a 0 a a 0 0
a 0 b a 0 c
a b a c b b
a b b c b a
c 0 c c 0 0
c 0 0 c 0 c
c b c a b b
c b 0 a b a
a a a 0 a a
a a b 0 a b
a c a b c c
a c b b c 0
c a c b a a
c a 0 b a b
c c c 0 c c
c c 0 0 c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 5x3 + 6x4 + 11x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_b)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_a)3 (X_b)2 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)3 (X_b)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1339

a 0 a a 0 0
0 a 0 a a a
b 0 b b 0 0
0 b 0 b b b
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b 0 b b b
0 b c b a b
b 0 b b 0 0
b 0 a b c 0
b b b 0 b b
b b a 0 a b
0 a 0 a a a
0 a c a b a
0 c 0 c c c
0 c c c 0 c
b a b c a a
b a a c b a
b c b a c c
b c a a 0 c
a 0 a a 0 0
a 0 b a c 0
a b a c b b
a b b c a b
c 0 c c 0 0
c 0 0 c c 0
c b c a b b
c b 0 a a b
a a a 0 a a
a a b 0 b a
a c a b c c
a c b b 0 c
c a c b a a
c a 0 b b a
c c c 0 c c
c c 0 0 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 5x3 + 6x4 + 11x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_b)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_a)3 (X_b)2 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)3 (X_b)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1340

a 0 a a 0 0
0 a 0 a a a
b 0 b b 0 0
0 b 0 b b b
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b 0 b b b
0 b c b a a
b 0 b b 0 0
b 0 a b c c
b b b 0 b b
b b a 0 a a
0 a 0 a a a
0 a c a b b
0 c 0 c c c
0 c c c 0 0
b a b c a a
b a a c b b
b c b a c c
b c a a 0 0
a 0 a a 0 0
a 0 b a c c
a b a c b b
a b b c a a
c 0 c c 0 0
c 0 0 c c c
c b c a b b
c b 0 a a a
a a a 0 a a
a a b 0 b b
a c a b c c
a c b b 0 0
c a c b a a
c a 0 b b b
c c c 0 c c
c c 0 0 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 5x3 + 6x4 + 11x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_b)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_a)3 (X_b)2 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)2 (X_b)3 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)2 (X_b)3 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1341

a 0 a a 0 0
0 a 0 a a a
b 0 b b 0 0
0 b 0 b b b
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b 0 b b b
0 b c a b b
b 0 b b 0 0
b 0 a a 0 0
b b b 0 b b
b b a c b b
0 a 0 a a a
0 a c b a a
0 c 0 c c c
0 c c 0 c c
b a b c a a
b a a 0 a a
b c b a c c
b c a b c c
a 0 a a 0 0
a 0 b b 0 0
a b a c b b
a b b 0 b b
c 0 c c 0 0
c 0 0 0 0 0
c b c a b b
c b 0 b b b
a a a 0 a a
a a b c a a
a c a b c c
a c b a c c
c a c b a a
c a 0 a a a
c c c 0 c c
c c 0 c c c

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 1x2 + 5x3 + 4x4 + 10x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)3 (X_b)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)1 (X_b)5 + (X_a)1 (X_b)4 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)4 (X_b)1 + (X_a)1 (X_b)2 (X_c)3 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)3 + (X_0)3 (X_a)1 (X_b)2 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)4 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_b)4 (X_c)1 + (X_0)1 (X_a)5 + (X_a)4 (X_b)1 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_a)2 (X_b)1 (X_c)3 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)4 (X_c)1 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1342

a 0 a a 0 0
0 a 0 a a a
b 0 b b 0 0
0 b 0 b b b
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b 0 b b b
0 b c a b a
b 0 b b 0 0
b 0 a a 0 c
b b b 0 b b
b b a c b a
0 a 0 a a a
0 a c b a b
0 c 0 c c c
0 c c 0 c 0
b a b c a a
b a a 0 a b
b c b a c c
b c a b c 0
a 0 a a 0 0
a 0 b b 0 c
a b a c b b
a b b 0 b a
c 0 c c 0 0
c 0 0 0 0 c
c b c a b b
c b 0 b b a
a a a 0 a a
a a b c a b
a c a b c c
a c b a c 0
c a c b a a
c a 0 a a b
c c c 0 c c
c c 0 c c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 5x3 + 6x4 + 11x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_b)5 + (X_a)2 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)5 + (X_a)3 (X_b)2 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1343

a 0 a a 0 0
0 a 0 a a a
b 0 b b 0 0
0 b 0 b b b
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b 0 b b b
0 b c a a b
b 0 b b 0 0
b 0 a a c 0
b b b 0 b b
b b a c a b
0 a 0 a a a
0 a c b b a
0 c 0 c c c
0 c c 0 0 c
b a b c a a
b a a 0 b a
b c b a c c
b c a b 0 c
a 0 a a 0 0
a 0 b b c 0
a b a c b b
a b b 0 a b
c 0 c c 0 0
c 0 0 0 c 0
c b c a b b
c b 0 b a b
a a a 0 a a
a a b c b a
a c a b c c
a c b a 0 c
c a c b a a
c a 0 a b a
c c c 0 c c
c c 0 c 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 5x3 + 6x4 + 11x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_b)5 + (X_a)2 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)5 + (X_a)3 (X_b)2 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1344

a 0 a a 0 0
0 a 0 a a a
b 0 b b 0 0
0 b 0 b b b
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b 0 b b b
0 b c a a a
b 0 b b 0 0
b 0 a a c c
b b b 0 b b
b b a c a a
0 a 0 a a a
0 a c b b b
0 c 0 c c c
0 c c 0 0 0
b a b c a a
b a a 0 b b
b c b a c c
b c a b 0 0
a 0 a a 0 0
a 0 b b c c
a b a c b b
a b b 0 a a
c 0 c c 0 0
c 0 0 0 c c
c b c a b b
c b 0 b a a
a a a 0 a a
a a b c b b
a c a b c c
a c b a 0 0
c a c b a a
c a 0 a b b
c c c 0 c c
c c 0 c 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 5x3 + 6x4 + 11x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)2 (X_b)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)3 (X_b)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_b)5 + (X_a)3 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)5 + (X_a)2 (X_b)3 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1345

a 0 a a 0 a
0 a 0 0 0 0
b 0 b b 0 b
0 b 0 0 0 0
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b 0 0 0 0
0 b c 0 0 0
b 0 b b 0 b
b 0 a b 0 b
b b b b 0 b
b b a b 0 b
0 a 0 0 0 0
0 a c 0 0 0
0 c 0 0 0 0
0 c c 0 0 0
b a b b 0 b
b a a b 0 b
b c b b 0 b
b c a b 0 b
a 0 a a 0 a
a 0 b a 0 a
a b a a 0 a
a b b a 0 a
c 0 c c 0 c
c 0 0 c 0 c
c b c c 0 c
c b 0 c 0 c
a a a a 0 a
a a b a 0 a
a c a a 0 a
a c b a 0 a
c a c c 0 c
c a 0 c 0 c
c c c c 0 c
c c 0 c 0 c

dmin: 1
Weight Enumerator: 1x0 + 4x1 + 3x2 + 1x3 + 8x4 + 15x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)5 (X_b)1 + (X_0)4 (X_b)1 (X_c)1 + (X_0)2 (X_b)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_b)5 + (X_0)1 (X_a)1 (X_b)4 + (X_0)5 (X_a)1 + (X_0)4 (X_a)1 (X_c)1 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)1 (X_a)1 (X_b)4 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_b)4 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)4 (X_b)1 + (X_0)1 (X_a)3 (X_b)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_b)1 (X_c)4 + (X_0)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)5 + (X_0)1 (X_a)4 (X_b)1 + (X_0)1 (X_a)4 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_c)4 + (X_0)2 (X_a)1 (X_c)3 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0

Is it a nice code?: No

Generator Matrix-1346

a 0 a a 0 a
0 a 0 0 0 0
b 0 b b 0 b
0 b 0 0 0 0
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b 0 0 0 0
0 b c 0 0 c
b 0 b b 0 b
b 0 a b 0 a
b b b b 0 b
b b a b 0 a
0 a 0 0 0 0
0 a c 0 0 c
0 c 0 0 0 0
0 c c 0 0 c
b a b b 0 b
b a a b 0 a
b c b b 0 b
b c a b 0 a
a 0 a a 0 a
a 0 b a 0 b
a b a a 0 a
a b b a 0 b
c 0 c c 0 c
c 0 0 c 0 0
c b c c 0 c
c b 0 c 0 0
a a a a 0 a
a a b a 0 b
a c a a 0 a
a c b a 0 b
c a c c 0 c
c a 0 c 0 0
c c c c 0 c
c c 0 c 0 0

dmin: 1
Weight Enumerator: 1x0 + 3x1 + 2x2 + 6x3 + 5x4 + 15x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)5 (X_b)1 + (X_0)3 (X_b)1 (X_c)2 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_b)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)5 (X_a)1 + (X_0)3 (X_a)1 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)4 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_b)4 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)4 (X_b)1 + (X_0)1 (X_a)2 (X_b)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)1 (X_b)1 (X_c)4 + (X_0)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)4 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_c)4 + (X_0)3 (X_a)1 (X_c)2 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0

Is it a nice code?: No

Generator Matrix-1347

a 0 a a 0 a
0 a 0 0 0 0
b 0 b b 0 b
0 b 0 0 0 0
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b 0 0 0 0
0 b c 0 c 0
b 0 b b 0 b
b 0 a b c b
b b b b 0 b
b b a b c b
0 a 0 0 0 0
0 a c 0 c 0
0 c 0 0 0 0
0 c c 0 c 0
b a b b 0 b
b a a b c b
b c b b 0 b
b c a b c b
a 0 a a 0 a
a 0 b a c a
a b a a 0 a
a b b a c a
c 0 c c 0 c
c 0 0 c c c
c b c c 0 c
c b 0 c c c
a a a a 0 a
a a b a c a
a c a a 0 a
a c b a c a
c a c c 0 c
c a 0 c c c
c c c c 0 c
c c 0 c c c

dmin: 1
Weight Enumerator: 1x0 + 3x1 + 1x2 + 3x3 + 4x4 + 14x5 + 6x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)5 (X_b)1 + (X_0)3 (X_b)1 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_b)5 + (X_a)1 (X_b)4 (X_c)1 + (X_0)5 (X_a)1 + (X_0)3 (X_a)1 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)4 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_b)4 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)4 (X_b)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_b)1 (X_c)4 + (X_0)1 (X_b)1 (X_c)4 + (X_0)1 (X_a)5 + (X_a)4 (X_b)1 (X_c)1 + (X_0)1 (X_a)4 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_c)4 + (X_0)1 (X_a)1 (X_c)4 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0

Is it a nice code?: No

Generator Matrix-1348

a 0 a a 0 a
0 a 0 0 0 0
b 0 b b 0 b
0 b 0 0 0 0
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b 0 0 0 0
0 b c 0 c c
b 0 b b 0 b
b 0 a b c a
b b b b 0 b
b b a b c a
0 a 0 0 0 0
0 a c 0 c c
0 c 0 0 0 0
0 c c 0 c c
b a b b 0 b
b a a b c a
b c b b 0 b
b c a b c a
a 0 a a 0 a
a 0 b a c b
a b a a 0 a
a b b a c b
c 0 c c 0 c
c 0 0 c c 0
c b c c 0 c
c b 0 c c 0
a a a a 0 a
a a b a c b
a c a a 0 a
a c b a c b
c a c c 0 c
c a 0 c c 0
c c c c 0 c
c c 0 c c 0

dmin: 1
Weight Enumerator: 1x0 + 3x1 + 0x2 + 2x3 + 9x4 + 11x5 + 6x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)5 (X_b)1 + (X_0)2 (X_b)1 (X_c)3 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_b)5 + (X_a)2 (X_b)3 (X_c)1 + (X_0)5 (X_a)1 + (X_0)2 (X_a)1 (X_c)3 + (X_0)5 (X_c)1 + (X_0)2 (X_c)4 + (X_0)1 (X_a)1 (X_b)4 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_b)4 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)4 (X_b)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_b)1 (X_c)4 + (X_0)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)5 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)4 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_c)4 + (X_0)2 (X_a)1 (X_c)3 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0

Is it a nice code?: No

Generator Matrix-1349

a 0 a a 0 a
0 a 0 0 0 0
b 0 b b 0 b
0 b 0 0 0 0
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b 0 0 0 0
0 b c c 0 0
b 0 b b 0 b
b 0 a a 0 b
b b b b 0 b
b b a a 0 b
0 a 0 0 0 0
0 a c c 0 0
0 c 0 0 0 0
0 c c c 0 0
b a b b 0 b
b a a a 0 b
b c b b 0 b
b c a a 0 b
a 0 a a 0 a
a 0 b b 0 a
a b a a 0 a
a b b b 0 a
c 0 c c 0 c
c 0 0 0 0 c
c b c c 0 c
c b 0 0 0 c
a a a a 0 a
a a b b 0 a
a c a a 0 a
a c b b 0 a
c a c c 0 c
c a 0 0 0 c
c c c c 0 c
c c 0 0 0 c

dmin: 1
Weight Enumerator: 1x0 + 3x1 + 2x2 + 6x3 + 5x4 + 15x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)5 (X_b)1 + (X_0)3 (X_b)1 (X_c)2 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_b)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)5 (X_a)1 + (X_0)3 (X_a)1 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)4 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_b)4 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)4 (X_b)1 + (X_0)1 (X_a)2 (X_b)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)1 (X_b)1 (X_c)4 + (X_0)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)4 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_c)4 + (X_0)3 (X_a)1 (X_c)2 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0

Is it a nice code?: No

Generator Matrix-1350

a 0 a a 0 a
0 a 0 0 0 0
b 0 b b 0 b
0 b 0 0 0 0
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b 0 0 0 0
0 b c c 0 c
b 0 b b 0 b
b 0 a a 0 a
b b b b 0 b
b b a a 0 a
0 a 0 0 0 0
0 a c c 0 c
0 c 0 0 0 0
0 c c c 0 c
b a b b 0 b
b a a a 0 a
b c b b 0 b
b c a a 0 a
a 0 a a 0 a
a 0 b b 0 b
a b a a 0 a
a b b b 0 b
c 0 c c 0 c
c 0 0 0 0 0
c b c c 0 c
c b 0 0 0 0
a a a a 0 a
a a b b 0 b
a c a a 0 a
a c b b 0 b
c a c c 0 c
c a 0 0 0 0
c c c c 0 c
c c 0 0 0 0

dmin: 1
Weight Enumerator: 1x0 + 4x1 + 3x2 + 1x3 + 8x4 + 15x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)5 (X_b)1 + (X_0)2 (X_b)1 (X_c)3 + (X_0)2 (X_b)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_b)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)5 (X_a)1 + (X_0)2 (X_a)1 (X_c)3 + (X_0)5 (X_c)1 + (X_0)2 (X_c)4 + (X_0)1 (X_a)1 (X_b)4 + (X_0)1 (X_a)4 (X_b)1 + (X_0)1 (X_b)4 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)4 (X_b)1 + (X_0)1 (X_a)1 (X_b)4 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_0)1 (X_b)1 (X_c)4 + (X_0)4 (X_b)1 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)4 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_c)4 + (X_0)4 (X_a)1 (X_c)1 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0

Is it a nice code?: No

Generator Matrix-1351

a 0 a a 0 a
0 a 0 0 0 0
b 0 b b 0 b
0 b 0 0 0 0
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b 0 0 0 0
0 b c c c 0
b 0 b b 0 b
b 0 a a c b
b b b b 0 b
b b a a c b
0 a 0 0 0 0
0 a c c c 0
0 c 0 0 0 0
0 c c c c 0
b a b b 0 b
b a a a c b
b c b b 0 b
b c a a c b
a 0 a a 0 a
a 0 b b c a
a b a a 0 a
a b b b c a
c 0 c c 0 c
c 0 0 0 c c
c b c c 0 c
c b 0 0 c c
a a a a 0 a
a a b b c a
a c a a 0 a
a c b b c a
c a c c 0 c
c a 0 0 c c
c c c c 0 c
c c 0 0 c c

dmin: 1
Weight Enumerator: 1x0 + 3x1 + 0x2 + 2x3 + 9x4 + 11x5 + 6x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)5 (X_b)1 + (X_0)2 (X_b)1 (X_c)3 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_b)5 + (X_a)2 (X_b)3 (X_c)1 + (X_0)5 (X_a)1 + (X_0)2 (X_a)1 (X_c)3 + (X_0)5 (X_c)1 + (X_0)2 (X_c)4 + (X_0)1 (X_a)1 (X_b)4 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_b)4 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)4 (X_b)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_b)1 (X_c)4 + (X_0)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)5 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)4 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_c)4 + (X_0)2 (X_a)1 (X_c)3 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0

Is it a nice code?: No

Generator Matrix-1352

a 0 a a 0 a
0 a 0 0 0 0
b 0 b b 0 b
0 b 0 0 0 0
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b 0 0 0 0
0 b c c c c
b 0 b b 0 b
b 0 a a c a
b b b b 0 b
b b a a c a
0 a 0 0 0 0
0 a c c c c
0 c 0 0 0 0
0 c c c c c
b a b b 0 b
b a a a c a
b c b b 0 b
b c a a c a
a 0 a a 0 a
a 0 b b c b
a b a a 0 a
a b b b c b
c 0 c c 0 c
c 0 0 0 c 0
c b c c 0 c
c b 0 0 c 0
a a a a 0 a
a a b b c b
a c a a 0 a
a c b b c b
c a c c 0 c
c a 0 0 c 0
c c c c 0 c
c c 0 0 c 0

dmin: 1
Weight Enumerator: 1x0 + 3x1 + 1x2 + 3x3 + 4x4 + 14x5 + 6x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)5 (X_b)1 + (X_0)1 (X_b)1 (X_c)4 + (X_0)2 (X_b)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_b)5 + (X_a)3 (X_b)2 (X_c)1 + (X_0)5 (X_a)1 + (X_0)1 (X_a)1 (X_c)4 + (X_0)5 (X_c)1 + (X_0)1 (X_c)5 + (X_0)1 (X_a)1 (X_b)4 + (X_a)4 (X_b)1 (X_c)1 + (X_0)1 (X_b)4 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)4 (X_b)1 + (X_a)1 (X_b)4 (X_c)1 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)1 (X_b)1 (X_c)4 + (X_0)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)5 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)4 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)1 (X_c)4 + (X_0)3 (X_a)1 (X_c)2 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0

Is it a nice code?: No

Generator Matrix-1353

a 0 a a 0 a
0 a 0 0 0 a
b 0 b b 0 b
0 b 0 0 0 b
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b 0 0 0 b
0 b c 0 0 b
b 0 b b 0 b
b 0 a b 0 b
b b b b 0 0
b b a b 0 0
0 a 0 0 0 a
0 a c 0 0 a
0 c 0 0 0 c
0 c c 0 0 c
b a b b 0 c
b a a b 0 c
b c b b 0 a
b c a b 0 a
a 0 a a 0 a
a 0 b a 0 a
a b a a 0 c
a b b a 0 c
c 0 c c 0 c
c 0 0 c 0 c
c b c c 0 a
c b 0 c 0 a
a a a a 0 0
a a b a 0 0
a c a a 0 b
a c b a 0 b
c a c c 0 b
c a 0 c 0 b
c c c c 0 0
c c 0 c 0 0

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 3x2 + 5x3 + 12x4 + 10x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)4 (X_b)2 + (X_0)3 (X_b)2 (X_c)1 + (X_0)2 (X_b)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)2 (X_b)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)4 (X_a)2 + (X_0)3 (X_a)2 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0

Is it a nice code?: No

Generator Matrix-1354

a 0 a a 0 a
0 a 0 0 0 a
b 0 b b 0 b
0 b 0 0 0 b
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b 0 0 0 b
0 b c 0 0 a
b 0 b b 0 b
b 0 a b 0 a
b b b b 0 0
b b a b 0 c
0 a 0 0 0 a
0 a c 0 0 b
0 c 0 0 0 c
0 c c 0 0 0
b a b b 0 c
b a a b 0 0
b c b b 0 a
b c a b 0 b
a 0 a a 0 a
a 0 b a 0 b
a b a a 0 c
a b b a 0 0
c 0 c c 0 c
c 0 0 c 0 0
c b c c 0 a
c b 0 c 0 b
a a a a 0 0
a a b a 0 c
a c a a 0 b
a c b a 0 a
c a c c 0 b
c a 0 c 0 a
c c c c 0 0
c c 0 c 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 6x2 + 2x3 + 13x4 + 10x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_b)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)4 (X_a)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0

Is it a nice code?: No

Generator Matrix-1355

a 0 a a 0 a
0 a 0 0 0 a
b 0 b b 0 b
0 b 0 0 0 b
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b 0 0 0 b
0 b c 0 c b
b 0 b b 0 b
b 0 a b c b
b b b b 0 0
b b a b c 0
0 a 0 0 0 a
0 a c 0 c a
0 c 0 0 0 c
0 c c 0 c c
b a b b 0 c
b a a b c c
b c b b 0 a
b c a b c a
a 0 a a 0 a
a 0 b a c a
a b a a 0 c
a b b a c c
c 0 c c 0 c
c 0 0 c c c
c b c c 0 a
c b 0 c c a
a a a a 0 0
a a b a c 0
a c a a 0 b
a c b a c b
c a c c 0 b
c a 0 c c b
c c c c 0 0
c c 0 c c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 0x3 + 11x4 + 12x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0

Is it a nice code?: No

Generator Matrix-1356

a 0 a a 0 a
0 a 0 0 0 a
b 0 b b 0 b
0 b 0 0 0 b
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b 0 0 0 b
0 b c 0 c a
b 0 b b 0 b
b 0 a b c a
b b b b 0 0
b b a b c c
0 a 0 0 0 a
0 a c 0 c b
0 c 0 0 0 c
0 c c 0 c 0
b a b b 0 c
b a a b c 0
b c b b 0 a
b c a b c b
a 0 a a 0 a
a 0 b a c b
a b a a 0 c
a b b a c 0
c 0 c c 0 c
c 0 0 c c 0
c b c c 0 a
c b 0 c c b
a a a a 0 0
a a b a c c
a c a a 0 b
a c b a c a
c a c c 0 b
c a 0 c c a
c c c c 0 0
c c 0 c c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 3x3 + 8x4 + 13x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_b)4 + (X_a)1 (X_b)3 (X_c)2 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)4 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)2 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0

Is it a nice code?: No

Generator Matrix-1357

a 0 a a 0 a
0 a 0 0 0 a
b 0 b b 0 b
0 b 0 0 0 b
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b 0 0 0 b
0 b c c 0 b
b 0 b b 0 b
b 0 a a 0 b
b b b b 0 0
b b a a 0 0
0 a 0 0 0 a
0 a c c 0 a
0 c 0 0 0 c
0 c c c 0 c
b a b b 0 c
b a a a 0 c
b c b b 0 a
b c a a 0 a
a 0 a a 0 a
a 0 b b 0 a
a b a a 0 c
a b b b 0 c
c 0 c c 0 c
c 0 0 0 0 c
c b c c 0 a
c b 0 0 0 a
a a a a 0 0
a a b b 0 0
a c a a 0 b
a c b b 0 b
c a c c 0 b
c a 0 0 0 b
c c c c 0 0
c c 0 0 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 6x2 + 2x3 + 13x4 + 10x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0

Is it a nice code?: No

Generator Matrix-1358

a 0 a a 0 a
0 a 0 0 0 a
b 0 b b 0 b
0 b 0 0 0 b
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b 0 0 0 b
0 b c c 0 a
b 0 b b 0 b
b 0 a a 0 a
b b b b 0 0
b b a a 0 c
0 a 0 0 0 a
0 a c c 0 b
0 c 0 0 0 c
0 c c c 0 0
b a b b 0 c
b a a a 0 0
b c b b 0 a
b c a a 0 b
a 0 a a 0 a
a 0 b b 0 b
a b a a 0 c
a b b b 0 0
c 0 c c 0 c
c 0 0 0 0 0
c b c c 0 a
c b 0 0 0 b
a a a a 0 0
a a b b 0 c
a c a a 0 b
a c b b 0 a
c a c c 0 b
c a 0 0 0 a
c c c c 0 0
c c 0 0 0 c

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 3x2 + 5x3 + 12x4 + 10x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_b)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)3 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_a)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0

Is it a nice code?: No

Generator Matrix-1359

a 0 a a 0 a
0 a 0 0 0 a
b 0 b b 0 b
0 b 0 0 0 b
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b 0 0 0 b
0 b c c c b
b 0 b b 0 b
b 0 a a c b
b b b b 0 0
b b a a c 0
0 a 0 0 0 a
0 a c c c a
0 c 0 0 0 c
0 c c c c c
b a b b 0 c
b a a a c c
b c b b 0 a
b c a a c a
a 0 a a 0 a
a 0 b b c a
a b a a 0 c
a b b b c c
c 0 c c 0 c
c 0 0 0 c c
c b c c 0 a
c b 0 0 c a
a a a a 0 0
a a b b c 0
a c a a 0 b
a c b b c b
c a c c 0 b
c a 0 0 c b
c c c c 0 0
c c 0 0 c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 3x3 + 8x4 + 13x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)4 (X_b)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)4 (X_a)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0

Is it a nice code?: No

Generator Matrix-1360

a 0 a a 0 a
0 a 0 0 0 a
b 0 b b 0 b
0 b 0 0 0 b
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b 0 0 0 b
0 b c c c a
b 0 b b 0 b
b 0 a a c a
b b b b 0 0
b b a a c c
0 a 0 0 0 a
0 a c c c b
0 c 0 0 0 c
0 c c c c 0
b a b b 0 c
b a a a c 0
b c b b 0 a
b c a a c b
a 0 a a 0 a
a 0 b b c b
a b a a 0 c
a b b b c 0
c 0 c c 0 c
c 0 0 0 c 0
c b c c 0 a
c b 0 0 c b
a a a a 0 0
a a b b c c
a c a a 0 b
a c b b c a
c a c c 0 b
c a 0 0 c a
c c c c 0 0
c c 0 0 c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 0x3 + 11x4 + 12x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)4 (X_b)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_b)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_b)4 + (X_a)2 (X_b)2 (X_c)2 + (X_0)4 (X_a)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0

Is it a nice code?: No

Generator Matrix-1361

a 0 a a 0 a
0 a 0 0 a 0
b 0 b b 0 b
0 b 0 0 b 0
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b 0 0 b 0
0 b c 0 b 0
b 0 b b 0 b
b 0 a b 0 b
b b b b b b
b b a b b b
0 a 0 0 a 0
0 a c 0 a 0
0 c 0 0 c 0
0 c c 0 c 0
b a b b a b
b a a b a b
b c b b c b
b c a b c b
a 0 a a 0 a
a 0 b a 0 a
a b a a b a
a b b a b a
c 0 c c 0 c
c 0 0 c 0 c
c b c c b c
c b 0 c b c
a a a a a a
a a b a a a
a c a a c a
a c b a c a
c a c c a c
c a 0 c a c
c c c c c c
c c 0 c c c

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 3x2 + 4x3 + 5x4 + 3x5 + 15x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)4 (X_b)2 + (X_0)3 (X_b)2 (X_c)1 + (X_0)2 (X_b)4 + (X_0)2 (X_a)1 (X_b)3 + (X_b)6 + (X_a)1 (X_b)5 + (X_0)4 (X_a)2 + (X_0)3 (X_a)2 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_a)2 (X_b)4 + (X_a)3 (X_b)3 + (X_b)4 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)4 + (X_0)2 (X_a)3 (X_b)1 + (X_a)4 (X_b)2 + (X_a)3 (X_b)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_b)2 (X_c)4 + (X_0)1 (X_b)2 (X_c)3 + (X_a)6 + (X_a)5 (X_b)1 + (X_a)4 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_a)2 (X_c)4 + (X_0)1 (X_a)2 (X_c)3 + (X_c)6 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1362

a 0 a a 0 a
0 a 0 0 a 0
b 0 b b 0 b
0 b 0 0 b 0
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b 0 0 b 0
0 b c 0 b c
b 0 b b 0 b
b 0 a b 0 a
b b b b b b
b b a b b a
0 a 0 0 a 0
0 a c 0 a c
0 c 0 0 c 0
0 c c 0 c c
b a b b a b
b a a b a a
b c b b c b
b c a b c a
a 0 a a 0 a
a 0 b a 0 b
a b a a b a
a b b a b b
c 0 c c 0 c
c 0 0 c 0 0
c b c c b c
c b 0 c b 0
a a a a a a
a a b a a b
a c a a c a
a c b a c b
c a c c a c
c a 0 c a 0
c c c c c c
c c 0 c c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 5x2 + 0x3 + 11x4 + 0x5 + 15x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_b)6 + (X_a)2 (X_b)4 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_a)2 (X_b)4 + (X_a)4 (X_b)2 + (X_b)4 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_a)4 (X_b)2 + (X_a)2 (X_b)4 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_b)2 (X_c)4 + (X_0)2 (X_b)2 (X_c)2 + (X_a)6 + (X_a)4 (X_b)2 + (X_a)4 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_a)2 (X_c)4 + (X_0)2 (X_a)2 (X_c)2 + (X_c)6 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1363

a 0 a a 0 a
0 a 0 0 a 0
b 0 b b 0 b
0 b 0 0 b 0
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b 0 0 b 0
0 b c 0 a 0
b 0 b b 0 b
b 0 a b c b
b b b b b b
b b a b a b
0 a 0 0 a 0
0 a c 0 b 0
0 c 0 0 c 0
0 c c 0 0 0
b a b b a b
b a a b b b
b c b b c b
b c a b 0 b
a 0 a a 0 a
a 0 b a c a
a b a a b a
a b b a a a
c 0 c c 0 c
c 0 0 c c c
c b c c b c
c b 0 c a c
a a a a a a
a a b a b a
a c a a c a
a c b a 0 a
c a c c a c
c a 0 c b c
c c c c c c
c c 0 c 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 5x2 + 2x3 + 5x4 + 6x5 + 13x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_b)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_b)6 + (X_a)2 (X_b)4 + (X_0)4 (X_a)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_a)2 (X_b)4 + (X_a)2 (X_b)4 + (X_b)4 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)4 (X_b)2 + (X_a)4 (X_b)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_b)2 (X_c)4 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_a)6 + (X_a)4 (X_b)2 + (X_a)4 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_c)4 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_c)6 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1364

a 0 a a 0 a
0 a 0 0 a 0
b 0 b b 0 b
0 b 0 0 b 0
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b 0 0 b 0
0 b c 0 a c
b 0 b b 0 b
b 0 a b c a
b b b b b b
b b a b a a
0 a 0 0 a 0
0 a c 0 b c
0 c 0 0 c 0
0 c c 0 0 c
b a b b a b
b a a b b a
b c b b c b
b c a b 0 a
a 0 a a 0 a
a 0 b a c b
a b a a b a
a b b a a b
c 0 c c 0 c
c 0 0 c c 0
c b c c b c
c b 0 c a 0
a a a a a a
a a b a b b
a c a a c a
a c b a 0 b
c a c c a c
c a 0 c b 0
c c c c c c
c c 0 c 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 4x3 + 7x4 + 4x5 + 13x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_b)6 + (X_a)3 (X_b)3 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_a)2 (X_b)4 + (X_a)3 (X_b)3 + (X_b)4 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)4 (X_b)2 + (X_a)3 (X_b)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_b)2 (X_c)4 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_a)6 + (X_a)3 (X_b)3 + (X_a)4 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_c)4 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_c)6 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1365

a 0 a a 0 a
0 a 0 0 a 0
b 0 b b 0 b
0 b 0 0 b 0
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b 0 0 b 0
0 b c c b 0
b 0 b b 0 b
b 0 a a 0 b
b b b b b b
b b a a b b
0 a 0 0 a 0
0 a c c a 0
0 c 0 0 c 0
0 c c c c 0
b a b b a b
b a a a a b
b c b b c b
b c a a c b
a 0 a a 0 a
a 0 b b 0 a
a b a a b a
a b b b b a
c 0 c c 0 c
c 0 0 0 0 c
c b c c b c
c b 0 0 b c
a a a a a a
a a b b a a
a c a a c a
a c b b c a
c a c c a c
c a 0 0 a c
c c c c c c
c c 0 0 c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 5x2 + 0x3 + 11x4 + 0x5 + 15x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_b)6 + (X_a)2 (X_b)4 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_a)2 (X_b)4 + (X_a)4 (X_b)2 + (X_b)4 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_a)4 (X_b)2 + (X_a)2 (X_b)4 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_b)2 (X_c)4 + (X_0)2 (X_b)2 (X_c)2 + (X_a)6 + (X_a)4 (X_b)2 + (X_a)4 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_a)2 (X_c)4 + (X_0)2 (X_a)2 (X_c)2 + (X_c)6 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1366

a 0 a a 0 a
0 a 0 0 a 0
b 0 b b 0 b
0 b 0 0 b 0
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b 0 0 b 0
0 b c c b c
b 0 b b 0 b
b 0 a a 0 a
b b b b b b
b b a a b a
0 a 0 0 a 0
0 a c c a c
0 c 0 0 c 0
0 c c c c c
b a b b a b
b a a a a a
b c b b c b
b c a a c a
a 0 a a 0 a
a 0 b b 0 b
a b a a b a
a b b b b b
c 0 c c 0 c
c 0 0 0 0 0
c b c c b c
c b 0 0 b 0
a a a a a a
a a b b a b
a c a a c a
a c b b c b
c a c c a c
c a 0 0 a 0
c c c c c c
c c 0 0 c 0

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 3x2 + 4x3 + 5x4 + 3x5 + 15x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)4 (X_b)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)2 (X_b)4 + (X_0)2 (X_a)3 (X_b)1 + (X_b)6 + (X_a)3 (X_b)3 + (X_0)4 (X_a)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5 + (X_a)2 (X_b)4 + (X_a)5 (X_b)1 + (X_b)4 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)4 + (X_0)2 (X_a)1 (X_b)3 + (X_a)4 (X_b)2 + (X_a)1 (X_b)5 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_b)2 (X_c)4 + (X_0)3 (X_b)2 (X_c)1 + (X_a)6 + (X_a)3 (X_b)3 + (X_a)4 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_a)2 (X_c)4 + (X_0)3 (X_a)2 (X_c)1 + (X_c)6 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1367

a 0 a a 0 a
0 a 0 0 a 0
b 0 b b 0 b
0 b 0 0 b 0
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b 0 0 b 0
0 b c c a 0
b 0 b b 0 b
b 0 a a c b
b b b b b b
b b a a a b
0 a 0 0 a 0
0 a c c b 0
0 c 0 0 c 0
0 c c c 0 0
b a b b a b
b a a a b b
b c b b c b
b c a a 0 b
a 0 a a 0 a
a 0 b b c a
a b a a b a
a b b b a a
c 0 c c 0 c
c 0 0 0 c c
c b c c b c
c b 0 0 a c
a a a a a a
a a b b b a
a c a a c a
a c b b 0 a
c a c c a c
c a 0 0 b c
c c c c c c
c c 0 0 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 4x3 + 7x4 + 4x5 + 13x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_b)6 + (X_a)3 (X_b)3 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_a)2 (X_b)4 + (X_a)3 (X_b)3 + (X_b)4 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)4 (X_b)2 + (X_a)3 (X_b)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_b)2 (X_c)4 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_a)6 + (X_a)3 (X_b)3 + (X_a)4 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_c)4 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_c)6 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1368

a 0 a a 0 a
0 a 0 0 a 0
b 0 b b 0 b
0 b 0 0 b 0
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b 0 0 b 0
0 b c c a c
b 0 b b 0 b
b 0 a a c a
b b b b b b
b b a a a a
0 a 0 0 a 0
0 a c c b c
0 c 0 0 c 0
0 c c c 0 c
b a b b a b
b a a a b a
b c b b c b
b c a a 0 a
a 0 a a 0 a
a 0 b b c b
a b a a b a
a b b b a b
c 0 c c 0 c
c 0 0 0 c 0
c b c c b c
c b 0 0 a 0
a a a a a a
a a b b b b
a c a a c a
a c b b 0 b
c a c c a c
c a 0 0 b 0
c c c c c c
c c 0 0 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 5x2 + 2x3 + 5x4 + 6x5 + 13x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)4 (X_b)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_b)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_b)6 + (X_a)4 (X_b)2 + (X_0)4 (X_a)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_a)2 (X_b)4 + (X_a)4 (X_b)2 + (X_b)4 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)4 (X_b)2 + (X_a)2 (X_b)4 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_b)2 (X_c)4 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_a)6 + (X_a)2 (X_b)4 + (X_a)4 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)2 (X_c)4 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_c)6 + (X_0)4 (X_c)2

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1369

a 0 a a 0 a
0 a 0 0 a a
b 0 b b 0 b
0 b 0 0 b b
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b 0 0 b b
0 b c 0 b b
b 0 b b 0 b
b 0 a b 0 b
b b b b b 0
b b a b b 0
0 a 0 0 a a
0 a c 0 a a
0 c 0 0 c c
0 c c 0 c c
b a b b a c
b a a b a c
b c b b c a
b c a b c a
a 0 a a 0 a
a 0 b a 0 a
a b a a b c
a b b a b c
c 0 c c 0 c
c 0 0 c 0 c
c b c c b a
c b 0 c b a
a a a a a 0
a a b a a 0
a c a a c b
a c b a c b
c a c c a b
c a 0 c a b
c c c c c 0
c c 0 c c 0

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 0x2 + 4x3 + 9x4 + 7x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_b)3 (X_c)1 + (X_0)2 (X_b)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_b)5 + (X_0)1 (X_a)1 (X_b)4 + (X_0)3 (X_a)3 + (X_0)2 (X_a)3 (X_c)1 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_a)2 (X_b)3 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)2 (X_a)3 (X_b)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)5 + (X_0)1 (X_a)4 (X_b)1 + (X_a)3 (X_b)1 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1370

a 0 a a 0 a
0 a 0 0 a a
b 0 b b 0 b
0 b 0 0 b b
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b 0 0 b b
0 b c 0 b a
b 0 b b 0 b
b 0 a b 0 a
b b b b b 0
b b a b b c
0 a 0 0 a a
0 a c 0 a b
0 c 0 0 c c
0 c c 0 c 0
b a b b a c
b a a b a 0
b c b b c a
b c a b c b
a 0 a a 0 a
a 0 b a 0 b
a b a a b c
a b b a b 0
c 0 c c 0 c
c 0 0 c 0 0
c b c c b a
c b 0 c b b
a a a a a 0
a a b a a c
a c a a c b
a c b a c a
c a c c a b
c a 0 c a a
c c c c c 0
c c 0 c c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 2x2 + 4x3 + 7x4 + 8x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_b)5 + (X_a)1 (X_b)4 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_a)1 (X_b)3 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)5 + (X_a)4 (X_b)1 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1371

a 0 a a 0 a
0 a 0 0 a a
b 0 b b 0 b
0 b 0 0 b b
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b 0 0 b b
0 b c 0 a b
b 0 b b 0 b
b 0 a b c b
b b b b b 0
b b a b a 0
0 a 0 0 a a
0 a c 0 b a
0 c 0 0 c c
0 c c 0 0 c
b a b b a c
b a a b b c
b c b b c a
b c a b 0 a
a 0 a a 0 a
a 0 b a c a
a b a a b c
a b b a a c
c 0 c c 0 c
c 0 0 c c c
c b c c b a
c b 0 c a a
a a a a a 0
a a b a b 0
a c a a c b
a c b a 0 b
c a c c a b
c a 0 c b b
c c c c c 0
c c 0 c 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 5x3 + 6x4 + 11x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_b)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_a)2 (X_b)3 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)5 + (X_0)1 (X_a)3 (X_b)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1372

a 0 a a 0 a
0 a 0 0 a a
b 0 b b 0 b
0 b 0 0 b b
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b 0 0 b b
0 b c 0 a a
b 0 b b 0 b
b 0 a b c a
b b b b b 0
b b a b a c
0 a 0 0 a a
0 a c 0 b b
0 c 0 0 c c
0 c c 0 0 0
b a b b a c
b a a b b 0
b c b b c a
b c a b 0 b
a 0 a a 0 a
a 0 b a c b
a b a a b c
a b b a a 0
c 0 c c 0 c
c 0 0 c c 0
c b c c b a
c b 0 c a b
a a a a a 0
a a b a b c
a c a a c b
a c b a 0 a
c a c c a b
c a 0 c b a
c c c c c 0
c c 0 c 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 5x3 + 6x4 + 11x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_b)5 + (X_a)2 (X_b)3 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)5 + (X_a)3 (X_b)2 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1373

a 0 a a 0 a
0 a 0 0 a a
b 0 b b 0 b
0 b 0 0 b b
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b 0 0 b b
0 b c c b b
b 0 b b 0 b
b 0 a a 0 b
b b b b b 0
b b a a b 0
0 a 0 0 a a
0 a c c a a
0 c 0 0 c c
0 c c c c c
b a b b a c
b a a a a c
b c b b c a
b c a a c a
a 0 a a 0 a
a 0 b b 0 a
a b a a b c
a b b b b c
c 0 c c 0 c
c 0 0 0 0 c
c b c c b a
c b 0 0 b a
a a a a a 0
a a b b a 0
a c a a c b
a c b b c b
c a c c a b
c a 0 0 a b
c c c c c 0
c c 0 0 c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 2x2 + 4x3 + 7x4 + 8x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_b)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)3 (X_a)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_a)2 (X_b)3 (X_c)1 + (X_a)4 (X_b)1 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_a)3 (X_b)2 (X_c)1 + (X_a)1 (X_b)4 (X_c)1 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)3 (X_b)2 + (X_a)3 (X_b)1 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1374

a 0 a a 0 a
0 a 0 0 a a
b 0 b b 0 b
0 b 0 0 b b
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b 0 0 b b
0 b c c b a
b 0 b b 0 b
b 0 a a 0 a
b b b b b 0
b b a a b c
0 a 0 0 a a
0 a c c a b
0 c 0 0 c c
0 c c c c 0
b a b b a c
b a a a a 0
b c b b c a
b c a a c b
a 0 a a 0 a
a 0 b b 0 b
a b a a b c
a b b b b 0
c 0 c c 0 c
c 0 0 0 0 0
c b c c b a
c b 0 0 b b
a a a a a 0
a a b b a c
a c a a c b
a c b b c a
c a c c a b
c a 0 0 a a
c c c c c 0
c c 0 0 c c

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 0x2 + 4x3 + 9x4 + 7x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_b)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_b)5 + (X_a)2 (X_b)3 (X_c)1 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)4 (X_b)1 + (X_a)1 (X_b)3 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)2 (X_a)1 (X_b)3 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)4 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)5 + (X_a)3 (X_b)2 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)3 (X_c)1 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1375

a 0 a a 0 a
0 a 0 0 a a
b 0 b b 0 b
0 b 0 0 b b
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b 0 0 b b
0 b c c a b
b 0 b b 0 b
b 0 a a c b
b b b b b 0
b b a a a 0
0 a 0 0 a a
0 a c c b a
0 c 0 0 c c
0 c c c 0 c
b a b b a c
b a a a b c
b c b b c a
b c a a 0 a
a 0 a a 0 a
a 0 b b c a
a b a a b c
a b b b a c
c 0 c c 0 c
c 0 0 0 c c
c b c c b a
c b 0 0 a a
a a a a a 0
a a b b b 0
a c a a c b
a c b b 0 b
c a c c a b
c a 0 0 b b
c c c c c 0
c c 0 0 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 5x3 + 6x4 + 11x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_b)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_a)2 (X_b)3 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)2 (X_b)3 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1376

a 0 a a 0 a
0 a 0 0 a a
b 0 b b 0 b
0 b 0 0 b b
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b 0 0 b b
0 b c c a a
b 0 b b 0 b
b 0 a a c a
b b b b b 0
b b a a a c
0 a 0 0 a a
0 a c c b b
0 c 0 0 c c
0 c c c 0 0
b a b b a c
b a a a b 0
b c b b c a
b c a a 0 b
a 0 a a 0 a
a 0 b b c b
a b a a b c
a b b b a 0
c 0 c c 0 c
c 0 0 0 c 0
c b c c b a
c b 0 0 a b
a a a a a 0
a a b b b c
a c a a c b
a c b b 0 a
c a c c a b
c a 0 0 b a
c c c c c 0
c c 0 0 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 5x3 + 6x4 + 11x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)3 (X_b)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_b)5 + (X_a)3 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)5 + (X_a)2 (X_b)3 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1377

a 0 a a 0 a
0 a 0 a 0 0
b 0 b b 0 b
0 b 0 b 0 0
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b 0 b 0 0
0 b c b 0 0
b 0 b b 0 b
b 0 a b 0 b
b b b 0 0 b
b b a 0 0 b
0 a 0 a 0 0
0 a c a 0 0
0 c 0 c 0 0
0 c c c 0 0
b a b c 0 b
b a a c 0 b
b c b a 0 b
b c a a 0 b
a 0 a a 0 a
a 0 b a 0 a
a b a c 0 a
a b b c 0 a
c 0 c c 0 c
c 0 0 c 0 c
c b c a 0 c
c b 0 a 0 c
a a a 0 0 a
a a b 0 0 a
a c a b 0 a
a c b b 0 a
c a c b 0 c
c a 0 b 0 c
c c c 0 0 c
c c 0 0 0 c

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 3x2 + 5x3 + 12x4 + 10x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)4 (X_b)2 + (X_0)3 (X_b)2 (X_c)1 + (X_0)2 (X_b)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)2 (X_b)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)4 (X_a)2 + (X_0)3 (X_a)2 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0

Is it a nice code?: No

Generator Matrix-1378

a 0 a a 0 a
0 a 0 a 0 0
b 0 b b 0 b
0 b 0 b 0 0
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b 0 b 0 0
0 b c b 0 c
b 0 b b 0 b
b 0 a b 0 a
b b b 0 0 b
b b a 0 0 a
0 a 0 a 0 0
0 a c a 0 c
0 c 0 c 0 0
0 c c c 0 c
b a b c 0 b
b a a c 0 a
b c b a 0 b
b c a a 0 a
a 0 a a 0 a
a 0 b a 0 b
a b a c 0 a
a b b c 0 b
c 0 c c 0 c
c 0 0 c 0 0
c b c a 0 c
c b 0 a 0 0
a a a 0 0 a
a a b 0 0 b
a c a b 0 a
a c b b 0 b
c a c b 0 c
c a 0 b 0 0
c c c 0 0 c
c c 0 0 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 6x2 + 2x3 + 13x4 + 10x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0

Is it a nice code?: No

Generator Matrix-1379

a 0 a a 0 a
0 a 0 a 0 0
b 0 b b 0 b
0 b 0 b 0 0
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b 0 b 0 0
0 b c b c 0
b 0 b b 0 b
b 0 a b c b
b b b 0 0 b
b b a 0 c b
0 a 0 a 0 0
0 a c a c 0
0 c 0 c 0 0
0 c c c c 0
b a b c 0 b
b a a c c b
b c b a 0 b
b c a a c b
a 0 a a 0 a
a 0 b a c a
a b a c 0 a
a b b c c a
c 0 c c 0 c
c 0 0 c c c
c b c a 0 c
c b 0 a c c
a a a 0 0 a
a a b 0 c a
a c a b 0 a
a c b b c a
c a c b 0 c
c a 0 b c c
c c c 0 0 c
c c 0 0 c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 0x3 + 11x4 + 12x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0

Is it a nice code?: No

Generator Matrix-1380

a 0 a a 0 a
0 a 0 a 0 0
b 0 b b 0 b
0 b 0 b 0 0
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b 0 b 0 0
0 b c b c c
b 0 b b 0 b
b 0 a b c a
b b b 0 0 b
b b a 0 c a
0 a 0 a 0 0
0 a c a c c
0 c 0 c 0 0
0 c c c c c
b a b c 0 b
b a a c c a
b c b a 0 b
b c a a c a
a 0 a a 0 a
a 0 b a c b
a b a c 0 a
a b b c c b
c 0 c c 0 c
c 0 0 c c 0
c b c a 0 c
c b 0 a c 0
a a a 0 0 a
a a b 0 c b
a c a b 0 a
a c b b c b
c a c b 0 c
c a 0 b c 0
c c c 0 0 c
c c 0 0 c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 3x3 + 8x4 + 13x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)4 (X_b)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)4 (X_a)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0

Is it a nice code?: No

Generator Matrix-1381

a 0 a a 0 a
0 a 0 a 0 0
b 0 b b 0 b
0 b 0 b 0 0
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b 0 b 0 0
0 b c a 0 0
b 0 b b 0 b
b 0 a a 0 b
b b b 0 0 b
b b a c 0 b
0 a 0 a 0 0
0 a c b 0 0
0 c 0 c 0 0
0 c c 0 0 0
b a b c 0 b
b a a 0 0 b
b c b a 0 b
b c a b 0 b
a 0 a a 0 a
a 0 b b 0 a
a b a c 0 a
a b b 0 0 a
c 0 c c 0 c
c 0 0 0 0 c
c b c a 0 c
c b 0 b 0 c
a a a 0 0 a
a a b c 0 a
a c a b 0 a
a c b a 0 a
c a c b 0 c
c a 0 a 0 c
c c c 0 0 c
c c 0 c 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 6x2 + 2x3 + 13x4 + 10x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_b)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)4 (X_a)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0

Is it a nice code?: No

Generator Matrix-1382

a 0 a a 0 a
0 a 0 a 0 0
b 0 b b 0 b
0 b 0 b 0 0
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b 0 b 0 0
0 b c a 0 c
b 0 b b 0 b
b 0 a a 0 a
b b b 0 0 b
b b a c 0 a
0 a 0 a 0 0
0 a c b 0 c
0 c 0 c 0 0
0 c c 0 0 c
b a b c 0 b
b a a 0 0 a
b c b a 0 b
b c a b 0 a
a 0 a a 0 a
a 0 b b 0 b
a b a c 0 a
a b b 0 0 b
c 0 c c 0 c
c 0 0 0 0 0
c b c a 0 c
c b 0 b 0 0
a a a 0 0 a
a a b c 0 b
a c a b 0 a
a c b a 0 b
c a c b 0 c
c a 0 a 0 0
c c c 0 0 c
c c 0 c 0 0

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 3x2 + 5x3 + 12x4 + 10x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_b)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)3 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_a)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0

Is it a nice code?: No

Generator Matrix-1383

a 0 a a 0 a
0 a 0 a 0 0
b 0 b b 0 b
0 b 0 b 0 0
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b 0 b 0 0
0 b c a c 0
b 0 b b 0 b
b 0 a a c b
b b b 0 0 b
b b a c c b
0 a 0 a 0 0
0 a c b c 0
0 c 0 c 0 0
0 c c 0 c 0
b a b c 0 b
b a a 0 c b
b c b a 0 b
b c a b c b
a 0 a a 0 a
a 0 b b c a
a b a c 0 a
a b b 0 c a
c 0 c c 0 c
c 0 0 0 c c
c b c a 0 c
c b 0 b c c
a a a 0 0 a
a a b c c a
a c a b 0 a
a c b a c a
c a c b 0 c
c a 0 a c c
c c c 0 0 c
c c 0 c c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 3x3 + 8x4 + 13x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_b)4 + (X_a)1 (X_b)3 (X_c)2 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)4 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)2 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0

Is it a nice code?: No

Generator Matrix-1384

a 0 a a 0 a
0 a 0 a 0 0
b 0 b b 0 b
0 b 0 b 0 0
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b 0 b 0 0
0 b c a c c
b 0 b b 0 b
b 0 a a c a
b b b 0 0 b
b b a c c a
0 a 0 a 0 0
0 a c b c c
0 c 0 c 0 0
0 c c 0 c c
b a b c 0 b
b a a 0 c a
b c b a 0 b
b c a b c a
a 0 a a 0 a
a 0 b b c b
a b a c 0 a
a b b 0 c b
c 0 c c 0 c
c 0 0 0 c 0
c b c a 0 c
c b 0 b c 0
a a a 0 0 a
a a b c c b
a c a b 0 a
a c b a c b
c a c b 0 c
c a 0 a c 0
c c c 0 0 c
c c 0 c c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 0x3 + 11x4 + 12x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)4 (X_b)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_b)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_b)4 + (X_a)2 (X_b)2 (X_c)2 + (X_0)4 (X_a)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0

Is it a nice code?: No

Generator Matrix-1385

a 0 a a 0 a
0 a 0 a 0 a
b 0 b b 0 b
0 b 0 b 0 b
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b 0 b 0 b
0 b c b 0 b
b 0 b b 0 b
b 0 a b 0 b
b b b 0 0 0
b b a 0 0 0
0 a 0 a 0 a
0 a c a 0 a
0 c 0 c 0 c
0 c c c 0 c
b a b c 0 c
b a a c 0 c
b c b a 0 a
b c a a 0 a
a 0 a a 0 a
a 0 b a 0 a
a b a c 0 c
a b b c 0 c
c 0 c c 0 c
c 0 0 c 0 c
c b c a 0 a
c b 0 a 0 a
a a a 0 0 0
a a b 0 0 0
a c a b 0 b
a c b b 0 b
c a c b 0 b
c a 0 b 0 b
c c c 0 0 0
c c 0 0 0 0

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 1x2 + 9x3 + 10x4 + 10x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_b)3 (X_c)1 + (X_0)2 (X_b)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)3 (X_b)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)3 (X_c)1 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_a)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0

Is it a nice code?: No

Generator Matrix-1386

a 0 a a 0 a
0 a 0 a 0 a
b 0 b b 0 b
0 b 0 b 0 b
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b 0 b 0 b
0 b c b 0 a
b 0 b b 0 b
b 0 a b 0 a
b b b 0 0 0
b b a 0 0 c
0 a 0 a 0 a
0 a c a 0 b
0 c 0 c 0 c
0 c c c 0 0
b a b c 0 c
b a a c 0 0
b c b a 0 a
b c a a 0 b
a 0 a a 0 a
a 0 b a 0 b
a b a c 0 c
a b b c 0 0
c 0 c c 0 c
c 0 0 c 0 0
c b c a 0 a
c b 0 a 0 b
a a a 0 0 0
a a b 0 0 c
a c a b 0 b
a c b b 0 a
c a c b 0 b
c a 0 b 0 a
c c c 0 0 0
c c 0 0 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 2x2 + 8x3 + 13x4 + 8x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0

Is it a nice code?: No

Generator Matrix-1387

a 0 a a 0 a
0 a 0 a 0 a
b 0 b b 0 b
0 b 0 b 0 b
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b 0 b 0 b
0 b c b c b
b 0 b b 0 b
b 0 a b c b
b b b 0 0 0
b b a 0 c 0
0 a 0 a 0 a
0 a c a c a
0 c 0 c 0 c
0 c c c c c
b a b c 0 c
b a a c c c
b c b a 0 a
b c a a c a
a 0 a a 0 a
a 0 b a c a
a b a c 0 c
a b b c c c
c 0 c c 0 c
c 0 0 c c c
c b c a 0 a
c b 0 a c a
a a a 0 0 0
a a b 0 c 0
a c a b 0 b
a c b b c b
c a c b 0 b
c a 0 b c b
c c c 0 0 0
c c 0 0 c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 7x3 + 6x4 + 13x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0

Is it a nice code?: No

Generator Matrix-1388

a 0 a a 0 a
0 a 0 a 0 a
b 0 b b 0 b
0 b 0 b 0 b
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b 0 b 0 b
0 b c b c a
b 0 b b 0 b
b 0 a b c a
b b b 0 0 0
b b a 0 c c
0 a 0 a 0 a
0 a c a c b
0 c 0 c 0 c
0 c c c c 0
b a b c 0 c
b a a c c 0
b c b a 0 a
b c a a c b
a 0 a a 0 a
a 0 b a c b
a b a c 0 c
a b b c c 0
c 0 c c 0 c
c 0 0 c c 0
c b c a 0 a
c b 0 a c b
a a a 0 0 0
a a b 0 c c
a c a b 0 b
a c b b c a
c a c b 0 b
c a 0 b c a
c c c 0 0 0
c c 0 0 c c

dmin: 3
Weight Enumerator: 1x0 + 0x1 + 0x2 + 8x3 + 5x4 + 16x5 + 2x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0

Is it a nice code?: No

Generator Matrix-1389

a 0 a a 0 a
0 a 0 a 0 a
b 0 b b 0 b
0 b 0 b 0 b
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b 0 b 0 b
0 b c a 0 b
b 0 b b 0 b
b 0 a a 0 b
b b b 0 0 0
b b a c 0 0
0 a 0 a 0 a
0 a c b 0 a
0 c 0 c 0 c
0 c c 0 0 c
b a b c 0 c
b a a 0 0 c
b c b a 0 a
b c a b 0 a
a 0 a a 0 a
a 0 b b 0 a
a b a c 0 c
a b b 0 0 c
c 0 c c 0 c
c 0 0 0 0 c
c b c a 0 a
c b 0 b 0 a
a a a 0 0 0
a a b c 0 0
a c a b 0 b
a c b a 0 b
c a c b 0 b
c a 0 a 0 b
c c c 0 0 0
c c 0 c 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 2x2 + 8x3 + 13x4 + 8x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0

Is it a nice code?: No

Generator Matrix-1390

a 0 a a 0 a
0 a 0 a 0 a
b 0 b b 0 b
0 b 0 b 0 b
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b 0 b 0 b
0 b c a 0 a
b 0 b b 0 b
b 0 a a 0 a
b b b 0 0 0
b b a c 0 c
0 a 0 a 0 a
0 a c b 0 b
0 c 0 c 0 c
0 c c 0 0 0
b a b c 0 c
b a a 0 0 0
b c b a 0 a
b c a b 0 b
a 0 a a 0 a
a 0 b b 0 b
a b a c 0 c
a b b 0 0 0
c 0 c c 0 c
c 0 0 0 0 0
c b c a 0 a
c b 0 b 0 b
a a a 0 0 0
a a b c 0 c
a c a b 0 b
a c b a 0 a
c a c b 0 b
c a 0 a 0 a
c c c 0 0 0
c c 0 c 0 c

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 1x2 + 9x3 + 10x4 + 10x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_b)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)2 (X_b)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)1 (X_b)2 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_b)3 (X_c)1 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)3 (X_c)1 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0

Is it a nice code?: No

Generator Matrix-1391

a 0 a a 0 a
0 a 0 a 0 a
b 0 b b 0 b
0 b 0 b 0 b
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b 0 b 0 b
0 b c a c b
b 0 b b 0 b
b 0 a a c b
b b b 0 0 0
b b a c c 0
0 a 0 a 0 a
0 a c b c a
0 c 0 c 0 c
0 c c 0 c c
b a b c 0 c
b a a 0 c c
b c b a 0 a
b c a b c a
a 0 a a 0 a
a 0 b b c a
a b a c 0 c
a b b 0 c c
c 0 c c 0 c
c 0 0 0 c c
c b c a 0 a
c b 0 b c a
a a a 0 0 0
a a b c c 0
a c a b 0 b
a c b a c b
c a c b 0 b
c a 0 a c b
c c c 0 0 0
c c 0 c c 0

dmin: 3
Weight Enumerator: 1x0 + 0x1 + 0x2 + 8x3 + 5x4 + 16x5 + 2x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0

Is it a nice code?: No

Generator Matrix-1392

a 0 a a 0 a
0 a 0 a 0 a
b 0 b b 0 b
0 b 0 b 0 b
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b 0 b 0 b
0 b c a c a
b 0 b b 0 b
b 0 a a c a
b b b 0 0 0
b b a c c c
0 a 0 a 0 a
0 a c b c b
0 c 0 c 0 c
0 c c 0 c 0
b a b c 0 c
b a a 0 c 0
b c b a 0 a
b c a b c b
a 0 a a 0 a
a 0 b b c b
a b a c 0 c
a b b 0 c 0
c 0 c c 0 c
c 0 0 0 c 0
c b c a 0 a
c b 0 b c b
a a a 0 0 0
a a b c c c
a c a b 0 b
a c b a c a
c a c b 0 b
c a 0 a c a
c c c 0 0 0
c c 0 c c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 7x3 + 6x4 + 13x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)3 (X_b)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)3 (X_b)3 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)3 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0

Is it a nice code?: No

Generator Matrix-1393

a 0 a a 0 a
0 a 0 a a 0
b 0 b b 0 b
0 b 0 b b 0
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b 0 b b 0
0 b c b b 0
b 0 b b 0 b
b 0 a b 0 b
b b b 0 b b
b b a 0 b b
0 a 0 a a 0
0 a c a a 0
0 c 0 c c 0
0 c c c c 0
b a b c a b
b a a c a b
b c b a c b
b c a a c b
a 0 a a 0 a
a 0 b a 0 a
a b a c b a
a b b c b a
c 0 c c 0 c
c 0 0 c 0 c
c b c a b c
c b 0 a b c
a a a 0 a a
a a b 0 a a
a c a b c a
a c b b c a
c a c b a c
c a 0 b a c
c c c 0 c c
c c 0 0 c c

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 0x2 + 4x3 + 9x4 + 7x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_b)3 (X_c)1 + (X_0)2 (X_b)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_b)5 + (X_0)1 (X_a)1 (X_b)4 + (X_0)3 (X_a)3 + (X_0)2 (X_a)3 (X_c)1 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_a)2 (X_b)3 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)2 (X_a)3 (X_b)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)5 + (X_0)1 (X_a)4 (X_b)1 + (X_a)3 (X_b)1 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1394

a 0 a a 0 a
0 a 0 a a 0
b 0 b b 0 b
0 b 0 b b 0
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b 0 b b 0
0 b c b b c
b 0 b b 0 b
b 0 a b 0 a
b b b 0 b b
b b a 0 b a
0 a 0 a a 0
0 a c a a c
0 c 0 c c 0
0 c c c c c
b a b c a b
b a a c a a
b c b a c b
b c a a c a
a 0 a a 0 a
a 0 b a 0 b
a b a c b a
a b b c b b
c 0 c c 0 c
c 0 0 c 0 0
c b c a b c
c b 0 a b 0
a a a 0 a a
a a b 0 a b
a c a b c a
a c b b c b
c a c b a c
c a 0 b a 0
c c c 0 c c
c c 0 0 c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 2x2 + 4x3 + 7x4 + 8x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_b)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)3 (X_a)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_a)2 (X_b)3 (X_c)1 + (X_a)4 (X_b)1 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_a)3 (X_b)2 (X_c)1 + (X_a)1 (X_b)4 (X_c)1 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)3 (X_b)2 + (X_a)3 (X_b)1 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1395

a 0 a a 0 a
0 a 0 a a 0
b 0 b b 0 b
0 b 0 b b 0
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b 0 b b 0
0 b c b a 0
b 0 b b 0 b
b 0 a b c b
b b b 0 b b
b b a 0 a b
0 a 0 a a 0
0 a c a b 0
0 c 0 c c 0
0 c c c 0 0
b a b c a b
b a a c b b
b c b a c b
b c a a 0 b
a 0 a a 0 a
a 0 b a c a
a b a c b a
a b b c a a
c 0 c c 0 c
c 0 0 c c c
c b c a b c
c b 0 a a c
a a a 0 a a
a a b 0 b a
a c a b c a
a c b b 0 a
c a c b a c
c a 0 b b c
c c c 0 c c
c c 0 0 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 5x3 + 6x4 + 11x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_b)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_a)2 (X_b)3 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)5 + (X_0)1 (X_a)3 (X_b)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1396

a 0 a a 0 a
0 a 0 a a 0
b 0 b b 0 b
0 b 0 b b 0
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b 0 b b 0
0 b c b a c
b 0 b b 0 b
b 0 a b c a
b b b 0 b b
b b a 0 a a
0 a 0 a a 0
0 a c a b c
0 c 0 c c 0
0 c c c 0 c
b a b c a b
b a a c b a
b c b a c b
b c a a 0 a
a 0 a a 0 a
a 0 b a c b
a b a c b a
a b b c a b
c 0 c c 0 c
c 0 0 c c 0
c b c a b c
c b 0 a a 0
a a a 0 a a
a a b 0 b b
a c a b c a
a c b b 0 b
c a c b a c
c a 0 b b 0
c c c 0 c c
c c 0 0 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 5x3 + 6x4 + 11x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_b)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_a)2 (X_b)3 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)2 (X_b)3 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1397

a 0 a a 0 a
0 a 0 a a 0
b 0 b b 0 b
0 b 0 b b 0
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b 0 b b 0
0 b c a b 0
b 0 b b 0 b
b 0 a a 0 b
b b b 0 b b
b b a c b b
0 a 0 a a 0
0 a c b a 0
0 c 0 c c 0
0 c c 0 c 0
b a b c a b
b a a 0 a b
b c b a c b
b c a b c b
a 0 a a 0 a
a 0 b b 0 a
a b a c b a
a b b 0 b a
c 0 c c 0 c
c 0 0 0 0 c
c b c a b c
c b 0 b b c
a a a 0 a a
a a b c a a
a c a b c a
a c b a c a
c a c b a c
c a 0 a a c
c c c 0 c c
c c 0 c c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 2x2 + 4x3 + 7x4 + 8x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_b)5 + (X_a)1 (X_b)4 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_a)1 (X_b)3 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)5 + (X_a)4 (X_b)1 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1398

a 0 a a 0 a
0 a 0 a a 0
b 0 b b 0 b
0 b 0 b b 0
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b 0 b b 0
0 b c a b c
b 0 b b 0 b
b 0 a a 0 a
b b b 0 b b
b b a c b a
0 a 0 a a 0
0 a c b a c
0 c 0 c c 0
0 c c 0 c c
b a b c a b
b a a 0 a a
b c b a c b
b c a b c a
a 0 a a 0 a
a 0 b b 0 b
a b a c b a
a b b 0 b b
c 0 c c 0 c
c 0 0 0 0 0
c b c a b c
c b 0 b b 0
a a a 0 a a
a a b c a b
a c a b c a
a c b a c b
c a c b a c
c a 0 a a 0
c c c 0 c c
c c 0 c c 0

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 0x2 + 4x3 + 9x4 + 7x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_b)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_b)5 + (X_a)2 (X_b)3 (X_c)1 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)4 (X_b)1 + (X_a)1 (X_b)3 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)2 (X_a)1 (X_b)3 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)4 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)5 + (X_a)3 (X_b)2 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)3 (X_c)1 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1399

a 0 a a 0 a
0 a 0 a a 0
b 0 b b 0 b
0 b 0 b b 0
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b 0 b b 0
0 b c a a 0
b 0 b b 0 b
b 0 a a c b
b b b 0 b b
b b a c a b
0 a 0 a a 0
0 a c b b 0
0 c 0 c c 0
0 c c 0 0 0
b a b c a b
b a a 0 b b
b c b a c b
b c a b 0 b
a 0 a a 0 a
a 0 b b c a
a b a c b a
a b b 0 a a
c 0 c c 0 c
c 0 0 0 c c
c b c a b c
c b 0 b a c
a a a 0 a a
a a b c b a
a c a b c a
a c b a 0 a
c a c b a c
c a 0 a b c
c c c 0 c c
c c 0 c 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 5x3 + 6x4 + 11x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_b)5 + (X_a)2 (X_b)3 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)5 + (X_a)3 (X_b)2 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1400

a 0 a a 0 a
0 a 0 a a 0
b 0 b b 0 b
0 b 0 b b 0
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b 0 b b 0
0 b c a a c
b 0 b b 0 b
b 0 a a c a
b b b 0 b b
b b a c a a
0 a 0 a a 0
0 a c b b c
0 c 0 c c 0
0 c c 0 0 c
b a b c a b
b a a 0 b a
b c b a c b
b c a b 0 a
a 0 a a 0 a
a 0 b b c b
a b a c b a
a b b 0 a b
c 0 c c 0 c
c 0 0 0 c 0
c b c a b c
c b 0 b a 0
a a a 0 a a
a a b c b b
a c a b c a
a c b a 0 b
c a c b a c
c a 0 a b 0
c c c 0 c c
c c 0 c 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 5x3 + 6x4 + 11x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)3 (X_b)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_b)5 + (X_a)3 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)5 + (X_a)2 (X_b)3 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1401

a 0 a a 0 a
0 a 0 a a a
b 0 b b 0 b
0 b 0 b b b
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b 0 b b b
0 b c b b b
b 0 b b 0 b
b 0 a b 0 b
b b b 0 b 0
b b a 0 b 0
0 a 0 a a a
0 a c a a a
0 c 0 c c c
0 c c c c c
b a b c a c
b a a c a c
b c b a c a
b c a a c a
a 0 a a 0 a
a 0 b a 0 a
a b a c b c
a b b c b c
c 0 c c 0 c
c 0 0 c 0 c
c b c a b a
c b 0 a b a
a a a 0 a 0
a a b 0 a 0
a c a b c b
a c b b c b
c a c b a b
c a 0 b a b
c c c 0 c 0
c c 0 0 c 0

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 0x2 + 2x3 + 13x4 + 5x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_b)4 (X_c)1 + (X_0)2 (X_b)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)2 (X_b)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)2 (X_a)4 + (X_0)1 (X_a)4 (X_c)1 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_a)2 (X_b)2 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)4 + (X_0)2 (X_a)3 (X_b)1 + (X_a)2 (X_b)2 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)3 (X_b)1 + (X_a)2 (X_b)2 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1402

a 0 a a 0 a
0 a 0 a a a
b 0 b b 0 b
0 b 0 b b b
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b 0 b b b
0 b c b b a
b 0 b b 0 b
b 0 a b 0 a
b b b 0 b 0
b b a 0 b c
0 a 0 a a a
0 a c a a b
0 c 0 c c c
0 c c c c 0
b a b c a c
b a a c a 0
b c b a c a
b c a a c b
a 0 a a 0 a
a 0 b a 0 b
a b a c b c
a b b c b 0
c 0 c c 0 c
c 0 0 c 0 0
c b c a b a
c b 0 a b b
a a a 0 a 0
a a b 0 a c
a c a b c b
a c b b c a
c a c b a b
c a 0 b a a
c c c 0 c 0
c c 0 0 c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 2x2 + 0x3 + 13x4 + 8x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1403

a 0 a a 0 a
0 a 0 a a a
b 0 b b 0 b
0 b 0 b b b
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b 0 b b b
0 b c b a b
b 0 b b 0 b
b 0 a b c b
b b b 0 b 0
b b a 0 a 0
0 a 0 a a a
0 a c a b a
0 c 0 c c c
0 c c c 0 c
b a b c a c
b a a c b c
b c b a c a
b c a a 0 a
a 0 a a 0 a
a 0 b a c a
a b a c b c
a b b c a c
c 0 c c 0 c
c 0 0 c c c
c b c a b a
c b 0 a a a
a a a 0 a 0
a a b 0 b 0
a c a b c b
a c b b 0 b
c a c b a b
c a 0 b b b
c c c 0 c 0
c c 0 0 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 2x2 + 0x3 + 13x4 + 8x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_a)2 (X_b)2 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1404

a 0 a a 0 a
0 a 0 a a a
b 0 b b 0 b
0 b 0 b b b
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b 0 b b b
0 b c b a a
b 0 b b 0 b
b 0 a b c a
b b b 0 b 0
b b a 0 a c
0 a 0 a a a
0 a c a b b
0 c 0 c c c
0 c c c 0 0
b a b c a c
b a a c b 0
b c b a c a
b c a a 0 b
a 0 a a 0 a
a 0 b a c b
a b a c b c
a b b c a 0
c 0 c c 0 c
c 0 0 c c 0
c b c a b a
c b 0 a a b
a a a 0 a 0
a a b 0 b c
a c a b c b
a c b b 0 a
c a c b a b
c a 0 b b a
c c c 0 c 0
c c 0 0 0 c

dmin: 3
Weight Enumerator: 1x0 + 0x1 + 0x2 + 4x3 + 9x4 + 12x5 + 6x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1405

a 0 a a 0 a
0 a 0 a a a
b 0 b b 0 b
0 b 0 b b b
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b 0 b b b
0 b c a b b
b 0 b b 0 b
b 0 a a 0 b
b b b 0 b 0
b b a c b 0
0 a 0 a a a
0 a c b a a
0 c 0 c c c
0 c c 0 c c
b a b c a c
b a a 0 a c
b c b a c a
b c a b c a
a 0 a a 0 a
a 0 b b 0 a
a b a c b c
a b b 0 b c
c 0 c c 0 c
c 0 0 0 0 c
c b c a b a
c b 0 b b a
a a a 0 a 0
a a b c a 0
a c a b c b
a c b a c b
c a c b a b
c a 0 a a b
c c c 0 c 0
c c 0 c c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 2x2 + 0x3 + 13x4 + 8x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1406

a 0 a a 0 a
0 a 0 a a a
b 0 b b 0 b
0 b 0 b b b
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b 0 b b b
0 b c a b a
b 0 b b 0 b
b 0 a a 0 a
b b b 0 b 0
b b a c b c
0 a 0 a a a
0 a c b a b
0 c 0 c c c
0 c c 0 c 0
b a b c a c
b a a 0 a 0
b c b a c a
b c a b c b
a 0 a a 0 a
a 0 b b 0 b
a b a c b c
a b b 0 b 0
c 0 c c 0 c
c 0 0 0 0 0
c b c a b a
c b 0 b b b
a a a 0 a 0
a a b c a c
a c a b c b
a c b a c a
c a c b a b
c a 0 a a a
c c c 0 c 0
c c 0 c c c

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 0x2 + 2x3 + 13x4 + 5x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_b)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)2 (X_b)4 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)3 (X_b)1 + (X_a)2 (X_b)2 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)4 + (X_0)2 (X_a)1 (X_b)3 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)3 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_b)4 (X_c)1 + (X_0)2 (X_a)4 + (X_a)3 (X_b)1 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)4 (X_c)1 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1407

a 0 a a 0 a
0 a 0 a a a
b 0 b b 0 b
0 b 0 b b b
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b 0 b b b
0 b c a a b
b 0 b b 0 b
b 0 a a c b
b b b 0 b 0
b b a c a 0
0 a 0 a a a
0 a c b b a
0 c 0 c c c
0 c c 0 0 c
b a b c a c
b a a 0 b c
b c b a c a
b c a b 0 a
a 0 a a 0 a
a 0 b b c a
a b a c b c
a b b 0 a c
c 0 c c 0 c
c 0 0 0 c c
c b c a b a
c b 0 b a a
a a a 0 a 0
a a b c b 0
a c a b c b
a c b a 0 b
c a c b a b
c a 0 a b b
c c c 0 c 0
c c 0 c 0 0

dmin: 3
Weight Enumerator: 1x0 + 0x1 + 0x2 + 4x3 + 9x4 + 12x5 + 6x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1408

a 0 a a 0 a
0 a 0 a a a
b 0 b b 0 b
0 b 0 b b b
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b 0 b b b
0 b c a a a
b 0 b b 0 b
b 0 a a c a
b b b 0 b 0
b b a c a c
0 a 0 a a a
0 a c b b b
0 c 0 c c c
0 c c 0 0 0
b a b c a c
b a a 0 b 0
b c b a c a
b c a b 0 b
a 0 a a 0 a
a 0 b b c b
a b a c b c
a b b 0 a 0
c 0 c c 0 c
c 0 0 0 c 0
c b c a b a
c b 0 b a b
a a a 0 a 0
a a b c b c
a c a b c b
a c b a 0 a
c a c b a b
c a 0 a b a
c c c 0 c 0
c c 0 c 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 2x2 + 0x3 + 13x4 + 8x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)2 (X_b)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_b)4 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_a)2 (X_b)2 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1409

a 0 a a a 0
0 a 0 0 0 0
b 0 b b b 0
0 b 0 0 0 0
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b 0 0 0 0
0 b c 0 0 0
b 0 b b b 0
b 0 a b b 0
b b b b b 0
b b a b b 0
0 a 0 0 0 0
0 a c 0 0 0
0 c 0 0 0 0
0 c c 0 0 0
b a b b b 0
b a a b b 0
b c b b b 0
b c a b b 0
a 0 a a a 0
a 0 b a a 0
a b a a a 0
a b b a a 0
c 0 c c c 0
c 0 0 c c 0
c b c c c 0
c b 0 c c 0
a a a a a 0
a a b a a 0
a c a a a 0
a c b a a 0
c a c c c 0
c a 0 c c 0
c c c c c 0
c c 0 c c 0

dmin: 1
Weight Enumerator: 1x0 + 4x1 + 3x2 + 1x3 + 8x4 + 15x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)5 (X_b)1 + (X_0)4 (X_b)1 (X_c)1 + (X_0)2 (X_b)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_b)5 + (X_0)1 (X_a)1 (X_b)4 + (X_0)5 (X_a)1 + (X_0)4 (X_a)1 (X_c)1 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)1 (X_a)1 (X_b)4 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_b)4 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)4 (X_b)1 + (X_0)1 (X_a)3 (X_b)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_b)1 (X_c)4 + (X_0)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)5 + (X_0)1 (X_a)4 (X_b)1 + (X_0)1 (X_a)4 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_c)4 + (X_0)2 (X_a)1 (X_c)3 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c

Is it a nice code?: No

Generator Matrix-1410

a 0 a a a 0
0 a 0 0 0 0
b 0 b b b 0
0 b 0 0 0 0
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b 0 0 0 0
0 b c 0 0 c
b 0 b b b 0
b 0 a b b c
b b b b b 0
b b a b b c
0 a 0 0 0 0
0 a c 0 0 c
0 c 0 0 0 0
0 c c 0 0 c
b a b b b 0
b a a b b c
b c b b b 0
b c a b b c
a 0 a a a 0
a 0 b a a c
a b a a a 0
a b b a a c
c 0 c c c 0
c 0 0 c c c
c b c c c 0
c b 0 c c c
a a a a a 0
a a b a a c
a c a a a 0
a c b a a c
c a c c c 0
c a 0 c c c
c c c c c 0
c c 0 c c c

dmin: 1
Weight Enumerator: 1x0 + 3x1 + 1x2 + 3x3 + 4x4 + 14x5 + 6x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)5 (X_b)1 + (X_0)3 (X_b)1 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_b)5 + (X_a)1 (X_b)4 (X_c)1 + (X_0)5 (X_a)1 + (X_0)3 (X_a)1 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)4 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_b)4 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)4 (X_b)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_b)1 (X_c)4 + (X_0)1 (X_b)1 (X_c)4 + (X_0)1 (X_a)5 + (X_a)4 (X_b)1 (X_c)1 + (X_0)1 (X_a)4 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_c)4 + (X_0)1 (X_a)1 (X_c)4 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c

Is it a nice code?: No

Generator Matrix-1411

a 0 a a a 0
0 a 0 0 0 0
b 0 b b b 0
0 b 0 0 0 0
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b 0 0 0 0
0 b c 0 c 0
b 0 b b b 0
b 0 a b a 0
b b b b b 0
b b a b a 0
0 a 0 0 0 0
0 a c 0 c 0
0 c 0 0 0 0
0 c c 0 c 0
b a b b b 0
b a a b a 0
b c b b b 0
b c a b a 0
a 0 a a a 0
a 0 b a b 0
a b a a a 0
a b b a b 0
c 0 c c c 0
c 0 0 c 0 0
c b c c c 0
c b 0 c 0 0
a a a a a 0
a a b a b 0
a c a a a 0
a c b a b 0
c a c c c 0
c a 0 c 0 0
c c c c c 0
c c 0 c 0 0

dmin: 1
Weight Enumerator: 1x0 + 3x1 + 2x2 + 6x3 + 5x4 + 15x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)5 (X_b)1 + (X_0)3 (X_b)1 (X_c)2 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_b)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)5 (X_a)1 + (X_0)3 (X_a)1 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)4 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_b)4 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)4 (X_b)1 + (X_0)1 (X_a)2 (X_b)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)1 (X_b)1 (X_c)4 + (X_0)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)4 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_c)4 + (X_0)3 (X_a)1 (X_c)2 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c

Is it a nice code?: No

Generator Matrix-1412

a 0 a a a 0
0 a 0 0 0 0
b 0 b b b 0
0 b 0 0 0 0
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b 0 0 0 0
0 b c 0 c c
b 0 b b b 0
b 0 a b a c
b b b b b 0
b b a b a c
0 a 0 0 0 0
0 a c 0 c c
0 c 0 0 0 0
0 c c 0 c c
b a b b b 0
b a a b a c
b c b b b 0
b c a b a c
a 0 a a a 0
a 0 b a b c
a b a a a 0
a b b a b c
c 0 c c c 0
c 0 0 c 0 c
c b c c c 0
c b 0 c 0 c
a a a a a 0
a a b a b c
a c a a a 0
a c b a b c
c a c c c 0
c a 0 c 0 c
c c c c c 0
c c 0 c 0 c

dmin: 1
Weight Enumerator: 1x0 + 3x1 + 0x2 + 2x3 + 9x4 + 11x5 + 6x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)5 (X_b)1 + (X_0)2 (X_b)1 (X_c)3 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_b)5 + (X_a)2 (X_b)3 (X_c)1 + (X_0)5 (X_a)1 + (X_0)2 (X_a)1 (X_c)3 + (X_0)5 (X_c)1 + (X_0)2 (X_c)4 + (X_0)1 (X_a)1 (X_b)4 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_b)4 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)4 (X_b)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_b)1 (X_c)4 + (X_0)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)5 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)4 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_c)4 + (X_0)2 (X_a)1 (X_c)3 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c

Is it a nice code?: No

Generator Matrix-1413

a 0 a a a 0
0 a 0 0 0 0
b 0 b b b 0
0 b 0 0 0 0
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b 0 0 0 0
0 b c c 0 0
b 0 b b b 0
b 0 a a b 0
b b b b b 0
b b a a b 0
0 a 0 0 0 0
0 a c c 0 0
0 c 0 0 0 0
0 c c c 0 0
b a b b b 0
b a a a b 0
b c b b b 0
b c a a b 0
a 0 a a a 0
a 0 b b a 0
a b a a a 0
a b b b a 0
c 0 c c c 0
c 0 0 0 c 0
c b c c c 0
c b 0 0 c 0
a a a a a 0
a a b b a 0
a c a a a 0
a c b b a 0
c a c c c 0
c a 0 0 c 0
c c c c c 0
c c 0 0 c 0

dmin: 1
Weight Enumerator: 1x0 + 3x1 + 2x2 + 6x3 + 5x4 + 15x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)5 (X_b)1 + (X_0)3 (X_b)1 (X_c)2 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_b)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)5 (X_a)1 + (X_0)3 (X_a)1 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)4 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_b)4 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)4 (X_b)1 + (X_0)1 (X_a)2 (X_b)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)1 (X_b)1 (X_c)4 + (X_0)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)4 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_c)4 + (X_0)3 (X_a)1 (X_c)2 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c

Is it a nice code?: No

Generator Matrix-1414

a 0 a a a 0
0 a 0 0 0 0
b 0 b b b 0
0 b 0 0 0 0
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b 0 0 0 0
0 b c c 0 c
b 0 b b b 0
b 0 a a b c
b b b b b 0
b b a a b c
0 a 0 0 0 0
0 a c c 0 c
0 c 0 0 0 0
0 c c c 0 c
b a b b b 0
b a a a b c
b c b b b 0
b c a a b c
a 0 a a a 0
a 0 b b a c
a b a a a 0
a b b b a c
c 0 c c c 0
c 0 0 0 c c
c b c c c 0
c b 0 0 c c
a a a a a 0
a a b b a c
a c a a a 0
a c b b a c
c a c c c 0
c a 0 0 c c
c c c c c 0
c c 0 0 c c

dmin: 1
Weight Enumerator: 1x0 + 3x1 + 0x2 + 2x3 + 9x4 + 11x5 + 6x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)5 (X_b)1 + (X_0)2 (X_b)1 (X_c)3 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_b)5 + (X_a)2 (X_b)3 (X_c)1 + (X_0)5 (X_a)1 + (X_0)2 (X_a)1 (X_c)3 + (X_0)5 (X_c)1 + (X_0)2 (X_c)4 + (X_0)1 (X_a)1 (X_b)4 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_b)4 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)4 (X_b)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_b)1 (X_c)4 + (X_0)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)5 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)4 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_c)4 + (X_0)2 (X_a)1 (X_c)3 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c

Is it a nice code?: No

Generator Matrix-1415

a 0 a a a 0
0 a 0 0 0 0
b 0 b b b 0
0 b 0 0 0 0
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b 0 0 0 0
0 b c c c 0
b 0 b b b 0
b 0 a a a 0
b b b b b 0
b b a a a 0
0 a 0 0 0 0
0 a c c c 0
0 c 0 0 0 0
0 c c c c 0
b a b b b 0
b a a a a 0
b c b b b 0
b c a a a 0
a 0 a a a 0
a 0 b b b 0
a b a a a 0
a b b b b 0
c 0 c c c 0
c 0 0 0 0 0
c b c c c 0
c b 0 0 0 0
a a a a a 0
a a b b b 0
a c a a a 0
a c b b b 0
c a c c c 0
c a 0 0 0 0
c c c c c 0
c c 0 0 0 0

dmin: 1
Weight Enumerator: 1x0 + 4x1 + 3x2 + 1x3 + 8x4 + 15x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)5 (X_b)1 + (X_0)2 (X_b)1 (X_c)3 + (X_0)2 (X_b)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_b)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)5 (X_a)1 + (X_0)2 (X_a)1 (X_c)3 + (X_0)5 (X_c)1 + (X_0)2 (X_c)4 + (X_0)1 (X_a)1 (X_b)4 + (X_0)1 (X_a)4 (X_b)1 + (X_0)1 (X_b)4 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)4 (X_b)1 + (X_0)1 (X_a)1 (X_b)4 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_0)1 (X_b)1 (X_c)4 + (X_0)4 (X_b)1 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)4 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_c)4 + (X_0)4 (X_a)1 (X_c)1 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c

Is it a nice code?: No

Generator Matrix-1416

a 0 a a a 0
0 a 0 0 0 0
b 0 b b b 0
0 b 0 0 0 0
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b 0 0 0 0
0 b c c c c
b 0 b b b 0
b 0 a a a c
b b b b b 0
b b a a a c
0 a 0 0 0 0
0 a c c c c
0 c 0 0 0 0
0 c c c c c
b a b b b 0
b a a a a c
b c b b b 0
b c a a a c
a 0 a a a 0
a 0 b b b c
a b a a a 0
a b b b b c
c 0 c c c 0
c 0 0 0 0 c
c b c c c 0
c b 0 0 0 c
a a a a a 0
a a b b b c
a c a a a 0
a c b b b c
c a c c c 0
c a 0 0 0 c
c c c c c 0
c c 0 0 0 c

dmin: 1
Weight Enumerator: 1x0 + 3x1 + 1x2 + 3x3 + 4x4 + 14x5 + 6x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)5 (X_b)1 + (X_0)1 (X_b)1 (X_c)4 + (X_0)2 (X_b)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_b)5 + (X_a)3 (X_b)2 (X_c)1 + (X_0)5 (X_a)1 + (X_0)1 (X_a)1 (X_c)4 + (X_0)5 (X_c)1 + (X_0)1 (X_c)5 + (X_0)1 (X_a)1 (X_b)4 + (X_a)4 (X_b)1 (X_c)1 + (X_0)1 (X_b)4 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)4 (X_b)1 + (X_a)1 (X_b)4 (X_c)1 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)1 (X_b)1 (X_c)4 + (X_0)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)5 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)4 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)1 (X_c)4 + (X_0)3 (X_a)1 (X_c)2 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c

Is it a nice code?: No

Generator Matrix-1417

a 0 a a a 0
0 a 0 0 0 a
b 0 b b b 0
0 b 0 0 0 b
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b 0 0 0 b
0 b c 0 0 b
b 0 b b b 0
b 0 a b b 0
b b b b b b
b b a b b b
0 a 0 0 0 a
0 a c 0 0 a
0 c 0 0 0 c
0 c c 0 0 c
b a b b b a
b a a b b a
b c b b b c
b c a b b c
a 0 a a a 0
a 0 b a a 0
a b a a a b
a b b a a b
c 0 c c c 0
c 0 0 c c 0
c b c c c b
c b 0 c c b
a a a a a a
a a b a a a
a c a a a c
a c b a a c
c a c c c a
c a 0 c c a
c c c c c c
c c 0 c c c

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 3x2 + 4x3 + 5x4 + 3x5 + 15x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)4 (X_b)2 + (X_0)3 (X_b)2 (X_c)1 + (X_0)2 (X_b)4 + (X_0)2 (X_a)1 (X_b)3 + (X_b)6 + (X_a)1 (X_b)5 + (X_0)4 (X_a)2 + (X_0)3 (X_a)2 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_a)2 (X_b)4 + (X_a)3 (X_b)3 + (X_b)4 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)4 + (X_0)2 (X_a)3 (X_b)1 + (X_a)4 (X_b)2 + (X_a)3 (X_b)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_b)2 (X_c)4 + (X_0)1 (X_b)2 (X_c)3 + (X_a)6 + (X_a)5 (X_b)1 + (X_a)4 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_a)2 (X_c)4 + (X_0)1 (X_a)2 (X_c)3 + (X_c)6 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1418

a 0 a a a 0
0 a 0 0 0 a
b 0 b b b 0
0 b 0 0 0 b
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b 0 0 0 b
0 b c 0 0 a
b 0 b b b 0
b 0 a b b c
b b b b b b
b b a b b a
0 a 0 0 0 a
0 a c 0 0 b
0 c 0 0 0 c
0 c c 0 0 0
b a b b b a
b a a b b b
b c b b b c
b c a b b 0
a 0 a a a 0
a 0 b a a c
a b a a a b
a b b a a a
c 0 c c c 0
c 0 0 c c c
c b c c c b
c b 0 c c a
a a a a a a
a a b a a b
a c a a a c
a c b a a 0
c a c c c a
c a 0 c c b
c c c c c c
c c 0 c c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 5x2 + 2x3 + 5x4 + 6x5 + 13x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_b)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_b)6 + (X_a)2 (X_b)4 + (X_0)4 (X_a)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_a)2 (X_b)4 + (X_a)2 (X_b)4 + (X_b)4 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)4 (X_b)2 + (X_a)4 (X_b)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_b)2 (X_c)4 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_a)6 + (X_a)4 (X_b)2 + (X_a)4 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_c)4 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_c)6 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1419

a 0 a a a 0
0 a 0 0 0 a
b 0 b b b 0
0 b 0 0 0 b
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b 0 0 0 b
0 b c 0 c b
b 0 b b b 0
b 0 a b a 0
b b b b b b
b b a b a b
0 a 0 0 0 a
0 a c 0 c a
0 c 0 0 0 c
0 c c 0 c c
b a b b b a
b a a b a a
b c b b b c
b c a b a c
a 0 a a a 0
a 0 b a b 0
a b a a a b
a b b a b b
c 0 c c c 0
c 0 0 c 0 0
c b c c c b
c b 0 c 0 b
a a a a a a
a a b a b a
a c a a a c
a c b a b c
c a c c c a
c a 0 c 0 a
c c c c c c
c c 0 c 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 5x2 + 0x3 + 11x4 + 0x5 + 15x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_b)6 + (X_a)2 (X_b)4 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_a)2 (X_b)4 + (X_a)4 (X_b)2 + (X_b)4 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_a)4 (X_b)2 + (X_a)2 (X_b)4 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_b)2 (X_c)4 + (X_0)2 (X_b)2 (X_c)2 + (X_a)6 + (X_a)4 (X_b)2 + (X_a)4 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_a)2 (X_c)4 + (X_0)2 (X_a)2 (X_c)2 + (X_c)6 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1420

a 0 a a a 0
0 a 0 0 0 a
b 0 b b b 0
0 b 0 0 0 b
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b 0 0 0 b
0 b c 0 c a
b 0 b b b 0
b 0 a b a c
b b b b b b
b b a b a a
0 a 0 0 0 a
0 a c 0 c b
0 c 0 0 0 c
0 c c 0 c 0
b a b b b a
b a a b a b
b c b b b c
b c a b a 0
a 0 a a a 0
a 0 b a b c
a b a a a b
a b b a b a
c 0 c c c 0
c 0 0 c 0 c
c b c c c b
c b 0 c 0 a
a a a a a a
a a b a b b
a c a a a c
a c b a b 0
c a c c c a
c a 0 c 0 b
c c c c c c
c c 0 c 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 4x3 + 7x4 + 4x5 + 13x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_b)6 + (X_a)3 (X_b)3 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_a)2 (X_b)4 + (X_a)3 (X_b)3 + (X_b)4 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)4 (X_b)2 + (X_a)3 (X_b)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_b)2 (X_c)4 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_a)6 + (X_a)3 (X_b)3 + (X_a)4 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_c)4 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_c)6 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1421

a 0 a a a 0
0 a 0 0 0 a
b 0 b b b 0
0 b 0 0 0 b
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b 0 0 0 b
0 b c c 0 b
b 0 b b b 0
b 0 a a b 0
b b b b b b
b b a a b b
0 a 0 0 0 a
0 a c c 0 a
0 c 0 0 0 c
0 c c c 0 c
b a b b b a
b a a a b a
b c b b b c
b c a a b c
a 0 a a a 0
a 0 b b a 0
a b a a a b
a b b b a b
c 0 c c c 0
c 0 0 0 c 0
c b c c c b
c b 0 0 c b
a a a a a a
a a b b a a
a c a a a c
a c b b a c
c a c c c a
c a 0 0 c a
c c c c c c
c c 0 0 c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 5x2 + 0x3 + 11x4 + 0x5 + 15x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_b)6 + (X_a)2 (X_b)4 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_a)2 (X_b)4 + (X_a)4 (X_b)2 + (X_b)4 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_a)4 (X_b)2 + (X_a)2 (X_b)4 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_b)2 (X_c)4 + (X_0)2 (X_b)2 (X_c)2 + (X_a)6 + (X_a)4 (X_b)2 + (X_a)4 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_a)2 (X_c)4 + (X_0)2 (X_a)2 (X_c)2 + (X_c)6 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1422

a 0 a a a 0
0 a 0 0 0 a
b 0 b b b 0
0 b 0 0 0 b
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b 0 0 0 b
0 b c c 0 a
b 0 b b b 0
b 0 a a b c
b b b b b b
b b a a b a
0 a 0 0 0 a
0 a c c 0 b
0 c 0 0 0 c
0 c c c 0 0
b a b b b a
b a a a b b
b c b b b c
b c a a b 0
a 0 a a a 0
a 0 b b a c
a b a a a b
a b b b a a
c 0 c c c 0
c 0 0 0 c c
c b c c c b
c b 0 0 c a
a a a a a a
a a b b a b
a c a a a c
a c b b a 0
c a c c c a
c a 0 0 c b
c c c c c c
c c 0 0 c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 4x3 + 7x4 + 4x5 + 13x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_b)6 + (X_a)3 (X_b)3 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_a)2 (X_b)4 + (X_a)3 (X_b)3 + (X_b)4 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)4 (X_b)2 + (X_a)3 (X_b)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_b)2 (X_c)4 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_a)6 + (X_a)3 (X_b)3 + (X_a)4 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_c)4 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_c)6 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1423

a 0 a a a 0
0 a 0 0 0 a
b 0 b b b 0
0 b 0 0 0 b
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b 0 0 0 b
0 b c c c b
b 0 b b b 0
b 0 a a a 0
b b b b b b
b b a a a b
0 a 0 0 0 a
0 a c c c a
0 c 0 0 0 c
0 c c c c c
b a b b b a
b a a a a a
b c b b b c
b c a a a c
a 0 a a a 0
a 0 b b b 0
a b a a a b
a b b b b b
c 0 c c c 0
c 0 0 0 0 0
c b c c c b
c b 0 0 0 b
a a a a a a
a a b b b a
a c a a a c
a c b b b c
c a c c c a
c a 0 0 0 a
c c c c c c
c c 0 0 0 c

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 3x2 + 4x3 + 5x4 + 3x5 + 15x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)4 (X_b)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)2 (X_b)4 + (X_0)2 (X_a)3 (X_b)1 + (X_b)6 + (X_a)3 (X_b)3 + (X_0)4 (X_a)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5 + (X_a)2 (X_b)4 + (X_a)5 (X_b)1 + (X_b)4 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)4 + (X_0)2 (X_a)1 (X_b)3 + (X_a)4 (X_b)2 + (X_a)1 (X_b)5 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_b)2 (X_c)4 + (X_0)3 (X_b)2 (X_c)1 + (X_a)6 + (X_a)3 (X_b)3 + (X_a)4 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_a)2 (X_c)4 + (X_0)3 (X_a)2 (X_c)1 + (X_c)6 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1424

a 0 a a a 0
0 a 0 0 0 a
b 0 b b b 0
0 b 0 0 0 b
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b 0 0 0 b
0 b c c c a
b 0 b b b 0
b 0 a a a c
b b b b b b
b b a a a a
0 a 0 0 0 a
0 a c c c b
0 c 0 0 0 c
0 c c c c 0
b a b b b a
b a a a a b
b c b b b c
b c a a a 0
a 0 a a a 0
a 0 b b b c
a b a a a b
a b b b b a
c 0 c c c 0
c 0 0 0 0 c
c b c c c b
c b 0 0 0 a
a a a a a a
a a b b b b
a c a a a c
a c b b b 0
c a c c c a
c a 0 0 0 b
c c c c c c
c c 0 0 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 5x2 + 2x3 + 5x4 + 6x5 + 13x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)4 (X_b)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_b)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_b)6 + (X_a)4 (X_b)2 + (X_0)4 (X_a)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_a)2 (X_b)4 + (X_a)4 (X_b)2 + (X_b)4 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)4 (X_b)2 + (X_a)2 (X_b)4 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_b)2 (X_c)4 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_a)6 + (X_a)2 (X_b)4 + (X_a)4 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)2 (X_c)4 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_c)6 + (X_0)4 (X_c)2

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1425

a 0 a a a 0
0 a 0 0 a 0
b 0 b b b 0
0 b 0 0 b 0
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b 0 0 b 0
0 b c 0 b 0
b 0 b b b 0
b 0 a b b 0
b b b b 0 0
b b a b 0 0
0 a 0 0 a 0
0 a c 0 a 0
0 c 0 0 c 0
0 c c 0 c 0
b a b b c 0
b a a b c 0
b c b b a 0
b c a b a 0
a 0 a a a 0
a 0 b a a 0
a b a a c 0
a b b a c 0
c 0 c c c 0
c 0 0 c c 0
c b c c a 0
c b 0 c a 0
a a a a 0 0
a a b a 0 0
a c a a b 0
a c b a b 0
c a c c b 0
c a 0 c b 0
c c c c 0 0
c c 0 c 0 0

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 3x2 + 5x3 + 12x4 + 10x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)4 (X_b)2 + (X_0)3 (X_b)2 (X_c)1 + (X_0)2 (X_b)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)2 (X_b)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)4 (X_a)2 + (X_0)3 (X_a)2 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c

Is it a nice code?: No

Generator Matrix-1426

a 0 a a a 0
0 a 0 0 a 0
b 0 b b b 0
0 b 0 0 b 0
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b 0 0 b 0
0 b c 0 b c
b 0 b b b 0
b 0 a b b c
b b b b 0 0
b b a b 0 c
0 a 0 0 a 0
0 a c 0 a c
0 c 0 0 c 0
0 c c 0 c c
b a b b c 0
b a a b c c
b c b b a 0
b c a b a c
a 0 a a a 0
a 0 b a a c
a b a a c 0
a b b a c c
c 0 c c c 0
c 0 0 c c c
c b c c a 0
c b 0 c a c
a a a a 0 0
a a b a 0 c
a c a a b 0
a c b a b c
c a c c b 0
c a 0 c b c
c c c c 0 0
c c 0 c 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 0x3 + 11x4 + 12x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c

Is it a nice code?: No

Generator Matrix-1427

a 0 a a a 0
0 a 0 0 a 0
b 0 b b b 0
0 b 0 0 b 0
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b 0 0 b 0
0 b c 0 a 0
b 0 b b b 0
b 0 a b a 0
b b b b 0 0
b b a b c 0
0 a 0 0 a 0
0 a c 0 b 0
0 c 0 0 c 0
0 c c 0 0 0
b a b b c 0
b a a b 0 0
b c b b a 0
b c a b b 0
a 0 a a a 0
a 0 b a b 0
a b a a c 0
a b b a 0 0
c 0 c c c 0
c 0 0 c 0 0
c b c c a 0
c b 0 c b 0
a a a a 0 0
a a b a c 0
a c a a b 0
a c b a a 0
c a c c b 0
c a 0 c a 0
c c c c 0 0
c c 0 c c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 6x2 + 2x3 + 13x4 + 10x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_b)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)4 (X_a)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c

Is it a nice code?: No

Generator Matrix-1428

a 0 a a a 0
0 a 0 0 a 0
b 0 b b b 0
0 b 0 0 b 0
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b 0 0 b 0
0 b c 0 a c
b 0 b b b 0
b 0 a b a c
b b b b 0 0
b b a b c c
0 a 0 0 a 0
0 a c 0 b c
0 c 0 0 c 0
0 c c 0 0 c
b a b b c 0
b a a b 0 c
b c b b a 0
b c a b b c
a 0 a a a 0
a 0 b a b c
a b a a c 0
a b b a 0 c
c 0 c c c 0
c 0 0 c 0 c
c b c c a 0
c b 0 c b c
a a a a 0 0
a a b a c c
a c a a b 0
a c b a a c
c a c c b 0
c a 0 c a c
c c c c 0 0
c c 0 c c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 3x3 + 8x4 + 13x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_b)4 + (X_a)1 (X_b)3 (X_c)2 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)4 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)2 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c

Is it a nice code?: No

Generator Matrix-1429

a 0 a a a 0
0 a 0 0 a 0
b 0 b b b 0
0 b 0 0 b 0
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b 0 0 b 0
0 b c c b 0
b 0 b b b 0
b 0 a a b 0
b b b b 0 0
b b a a 0 0
0 a 0 0 a 0
0 a c c a 0
0 c 0 0 c 0
0 c c c c 0
b a b b c 0
b a a a c 0
b c b b a 0
b c a a a 0
a 0 a a a 0
a 0 b b a 0
a b a a c 0
a b b b c 0
c 0 c c c 0
c 0 0 0 c 0
c b c c a 0
c b 0 0 a 0
a a a a 0 0
a a b b 0 0
a c a a b 0
a c b b b 0
c a c c b 0
c a 0 0 b 0
c c c c 0 0
c c 0 0 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 6x2 + 2x3 + 13x4 + 10x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c

Is it a nice code?: No

Generator Matrix-1430

a 0 a a a 0
0 a 0 0 a 0
b 0 b b b 0
0 b 0 0 b 0
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b 0 0 b 0
0 b c c b c
b 0 b b b 0
b 0 a a b c
b b b b 0 0
b b a a 0 c
0 a 0 0 a 0
0 a c c a c
0 c 0 0 c 0
0 c c c c c
b a b b c 0
b a a a c c
b c b b a 0
b c a a a c
a 0 a a a 0
a 0 b b a c
a b a a c 0
a b b b c c
c 0 c c c 0
c 0 0 0 c c
c b c c a 0
c b 0 0 a c
a a a a 0 0
a a b b 0 c
a c a a b 0
a c b b b c
c a c c b 0
c a 0 0 b c
c c c c 0 0
c c 0 0 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 3x3 + 8x4 + 13x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)4 (X_b)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)4 (X_a)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c

Is it a nice code?: No

Generator Matrix-1431

a 0 a a a 0
0 a 0 0 a 0
b 0 b b b 0
0 b 0 0 b 0
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b 0 0 b 0
0 b c c a 0
b 0 b b b 0
b 0 a a a 0
b b b b 0 0
b b a a c 0
0 a 0 0 a 0
0 a c c b 0
0 c 0 0 c 0
0 c c c 0 0
b a b b c 0
b a a a 0 0
b c b b a 0
b c a a b 0
a 0 a a a 0
a 0 b b b 0
a b a a c 0
a b b b 0 0
c 0 c c c 0
c 0 0 0 0 0
c b c c a 0
c b 0 0 b 0
a a a a 0 0
a a b b c 0
a c a a b 0
a c b b a 0
c a c c b 0
c a 0 0 a 0
c c c c 0 0
c c 0 0 c 0

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 3x2 + 5x3 + 12x4 + 10x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_b)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)3 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_a)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c

Is it a nice code?: No

Generator Matrix-1432

a 0 a a a 0
0 a 0 0 a 0
b 0 b b b 0
0 b 0 0 b 0
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b 0 0 b 0
0 b c c a c
b 0 b b b 0
b 0 a a a c
b b b b 0 0
b b a a c c
0 a 0 0 a 0
0 a c c b c
0 c 0 0 c 0
0 c c c 0 c
b a b b c 0
b a a a 0 c
b c b b a 0
b c a a b c
a 0 a a a 0
a 0 b b b c
a b a a c 0
a b b b 0 c
c 0 c c c 0
c 0 0 0 0 c
c b c c a 0
c b 0 0 b c
a a a a 0 0
a a b b c c
a c a a b 0
a c b b a c
c a c c b 0
c a 0 0 a c
c c c c 0 0
c c 0 0 c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 0x3 + 11x4 + 12x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)4 (X_b)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_b)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_b)4 + (X_a)2 (X_b)2 (X_c)2 + (X_0)4 (X_a)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c

Is it a nice code?: No

Generator Matrix-1433

a 0 a a a 0
0 a 0 0 a a
b 0 b b b 0
0 b 0 0 b b
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b 0 0 b b
0 b c 0 b b
b 0 b b b 0
b 0 a b b 0
b b b b 0 b
b b a b 0 b
0 a 0 0 a a
0 a c 0 a a
0 c 0 0 c c
0 c c 0 c c
b a b b c a
b a a b c a
b c b b a c
b c a b a c
a 0 a a a 0
a 0 b a a 0
a b a a c b
a b b a c b
c 0 c c c 0
c 0 0 c c 0
c b c c a b
c b 0 c a b
a a a a 0 a
a a b a 0 a
a c a a b c
a c b a b c
c a c c b a
c a 0 c b a
c c c c 0 c
c c 0 c 0 c

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 0x2 + 4x3 + 9x4 + 7x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_b)3 (X_c)1 + (X_0)2 (X_b)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_b)5 + (X_0)1 (X_a)1 (X_b)4 + (X_0)3 (X_a)3 + (X_0)2 (X_a)3 (X_c)1 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_a)2 (X_b)3 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)2 (X_a)3 (X_b)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)5 + (X_0)1 (X_a)4 (X_b)1 + (X_a)3 (X_b)1 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1434

a 0 a a a 0
0 a 0 0 a a
b 0 b b b 0
0 b 0 0 b b
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b 0 0 b b
0 b c 0 b a
b 0 b b b 0
b 0 a b b c
b b b b 0 b
b b a b 0 a
0 a 0 0 a a
0 a c 0 a b
0 c 0 0 c c
0 c c 0 c 0
b a b b c a
b a a b c b
b c b b a c
b c a b a 0
a 0 a a a 0
a 0 b a a c
a b a a c b
a b b a c a
c 0 c c c 0
c 0 0 c c c
c b c c a b
c b 0 c a a
a a a a 0 a
a a b a 0 b
a c a a b c
a c b a b 0
c a c c b a
c a 0 c b b
c c c c 0 c
c c 0 c 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 5x3 + 6x4 + 11x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_b)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_a)2 (X_b)3 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)5 + (X_0)1 (X_a)3 (X_b)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1435

a 0 a a a 0
0 a 0 0 a a
b 0 b b b 0
0 b 0 0 b b
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b 0 0 b b
0 b c 0 a b
b 0 b b b 0
b 0 a b a 0
b b b b 0 b
b b a b c b
0 a 0 0 a a
0 a c 0 b a
0 c 0 0 c c
0 c c 0 0 c
b a b b c a
b a a b 0 a
b c b b a c
b c a b b c
a 0 a a a 0
a 0 b a b 0
a b a a c b
a b b a 0 b
c 0 c c c 0
c 0 0 c 0 0
c b c c a b
c b 0 c b b
a a a a 0 a
a a b a c a
a c a a b c
a c b a a c
c a c c b a
c a 0 c a a
c c c c 0 c
c c 0 c c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 2x2 + 4x3 + 7x4 + 8x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_b)5 + (X_a)1 (X_b)4 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_a)1 (X_b)3 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)5 + (X_a)4 (X_b)1 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1436

a 0 a a a 0
0 a 0 0 a a
b 0 b b b 0
0 b 0 0 b b
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b 0 0 b b
0 b c 0 a a
b 0 b b b 0
b 0 a b a c
b b b b 0 b
b b a b c a
0 a 0 0 a a
0 a c 0 b b
0 c 0 0 c c
0 c c 0 0 0
b a b b c a
b a a b 0 b
b c b b a c
b c a b b 0
a 0 a a a 0
a 0 b a b c
a b a a c b
a b b a 0 a
c 0 c c c 0
c 0 0 c 0 c
c b c c a b
c b 0 c b a
a a a a 0 a
a a b a c b
a c a a b c
a c b a a 0
c a c c b a
c a 0 c a b
c c c c 0 c
c c 0 c c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 5x3 + 6x4 + 11x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_b)5 + (X_a)2 (X_b)3 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)5 + (X_a)3 (X_b)2 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1437

a 0 a a a 0
0 a 0 0 a a
b 0 b b b 0
0 b 0 0 b b
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b 0 0 b b
0 b c c b b
b 0 b b b 0
b 0 a a b 0
b b b b 0 b
b b a a 0 b
0 a 0 0 a a
0 a c c a a
0 c 0 0 c c
0 c c c c c
b a b b c a
b a a a c a
b c b b a c
b c a a a c
a 0 a a a 0
a 0 b b a 0
a b a a c b
a b b b c b
c 0 c c c 0
c 0 0 0 c 0
c b c c a b
c b 0 0 a b
a a a a 0 a
a a b b 0 a
a c a a b c
a c b b b c
c a c c b a
c a 0 0 b a
c c c c 0 c
c c 0 0 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 2x2 + 4x3 + 7x4 + 8x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_b)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)3 (X_a)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_a)2 (X_b)3 (X_c)1 + (X_a)4 (X_b)1 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_a)3 (X_b)2 (X_c)1 + (X_a)1 (X_b)4 (X_c)1 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)3 (X_b)2 + (X_a)3 (X_b)1 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1438

a 0 a a a 0
0 a 0 0 a a
b 0 b b b 0
0 b 0 0 b b
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b 0 0 b b
0 b c c b a
b 0 b b b 0
b 0 a a b c
b b b b 0 b
b b a a 0 a
0 a 0 0 a a
0 a c c a b
0 c 0 0 c c
0 c c c c 0
b a b b c a
b a a a c b
b c b b a c
b c a a a 0
a 0 a a a 0
a 0 b b a c
a b a a c b
a b b b c a
c 0 c c c 0
c 0 0 0 c c
c b c c a b
c b 0 0 a a
a a a a 0 a
a a b b 0 b
a c a a b c
a c b b b 0
c a c c b a
c a 0 0 b b
c c c c 0 c
c c 0 0 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 5x3 + 6x4 + 11x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_b)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_a)2 (X_b)3 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)2 (X_b)3 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1439

a 0 a a a 0
0 a 0 0 a a
b 0 b b b 0
0 b 0 0 b b
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b 0 0 b b
0 b c c a b
b 0 b b b 0
b 0 a a a 0
b b b b 0 b
b b a a c b
0 a 0 0 a a
0 a c c b a
0 c 0 0 c c
0 c c c 0 c
b a b b c a
b a a a 0 a
b c b b a c
b c a a b c
a 0 a a a 0
a 0 b b b 0
a b a a c b
a b b b 0 b
c 0 c c c 0
c 0 0 0 0 0
c b c c a b
c b 0 0 b b
a a a a 0 a
a a b b c a
a c a a b c
a c b b a c
c a c c b a
c a 0 0 a a
c c c c 0 c
c c 0 0 c c

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 0x2 + 4x3 + 9x4 + 7x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_b)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_b)5 + (X_a)2 (X_b)3 (X_c)1 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)4 (X_b)1 + (X_a)1 (X_b)3 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)2 (X_a)1 (X_b)3 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)4 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)5 + (X_a)3 (X_b)2 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)3 (X_c)1 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1440

a 0 a a a 0
0 a 0 0 a a
b 0 b b b 0
0 b 0 0 b b
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b 0 0 b b
0 b c c a a
b 0 b b b 0
b 0 a a a c
b b b b 0 b
b b a a c a
0 a 0 0 a a
0 a c c b b
0 c 0 0 c c
0 c c c 0 0
b a b b c a
b a a a 0 b
b c b b a c
b c a a b 0
a 0 a a a 0
a 0 b b b c
a b a a c b
a b b b 0 a
c 0 c c c 0
c 0 0 0 0 c
c b c c a b
c b 0 0 b a
a a a a 0 a
a a b b c b
a c a a b c
a c b b a 0
c a c c b a
c a 0 0 a b
c c c c 0 c
c c 0 0 c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 5x3 + 6x4 + 11x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)3 (X_b)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_b)5 + (X_a)3 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)5 + (X_a)2 (X_b)3 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1441

a 0 a a a 0
0 a 0 a 0 0
b 0 b b b 0
0 b 0 b 0 0
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b 0 b 0 0
0 b c b 0 0
b 0 b b b 0
b 0 a b b 0
b b b 0 b 0
b b a 0 b 0
0 a 0 a 0 0
0 a c a 0 0
0 c 0 c 0 0
0 c c c 0 0
b a b c b 0
b a a c b 0
b c b a b 0
b c a a b 0
a 0 a a a 0
a 0 b a a 0
a b a c a 0
a b b c a 0
c 0 c c c 0
c 0 0 c c 0
c b c a c 0
c b 0 a c 0
a a a 0 a 0
a a b 0 a 0
a c a b a 0
a c b b a 0
c a c b c 0
c a 0 b c 0
c c c 0 c 0
c c 0 0 c 0

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 3x2 + 5x3 + 12x4 + 10x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)4 (X_b)2 + (X_0)3 (X_b)2 (X_c)1 + (X_0)2 (X_b)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)2 (X_b)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)4 (X_a)2 + (X_0)3 (X_a)2 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c

Is it a nice code?: No

Generator Matrix-1442

a 0 a a a 0
0 a 0 a 0 0
b 0 b b b 0
0 b 0 b 0 0
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b 0 b 0 0
0 b c b 0 c
b 0 b b b 0
b 0 a b b c
b b b 0 b 0
b b a 0 b c
0 a 0 a 0 0
0 a c a 0 c
0 c 0 c 0 0
0 c c c 0 c
b a b c b 0
b a a c b c
b c b a b 0
b c a a b c
a 0 a a a 0
a 0 b a a c
a b a c a 0
a b b c a c
c 0 c c c 0
c 0 0 c c c
c b c a c 0
c b 0 a c c
a a a 0 a 0
a a b 0 a c
a c a b a 0
a c b b a c
c a c b c 0
c a 0 b c c
c c c 0 c 0
c c 0 0 c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 0x3 + 11x4 + 12x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c

Is it a nice code?: No

Generator Matrix-1443

a 0 a a a 0
0 a 0 a 0 0
b 0 b b b 0
0 b 0 b 0 0
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b 0 b 0 0
0 b c b c 0
b 0 b b b 0
b 0 a b a 0
b b b 0 b 0
b b a 0 a 0
0 a 0 a 0 0
0 a c a c 0
0 c 0 c 0 0
0 c c c c 0
b a b c b 0
b a a c a 0
b c b a b 0
b c a a a 0
a 0 a a a 0
a 0 b a b 0
a b a c a 0
a b b c b 0
c 0 c c c 0
c 0 0 c 0 0
c b c a c 0
c b 0 a 0 0
a a a 0 a 0
a a b 0 b 0
a c a b a 0
a c b b b 0
c a c b c 0
c a 0 b 0 0
c c c 0 c 0
c c 0 0 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 6x2 + 2x3 + 13x4 + 10x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c

Is it a nice code?: No

Generator Matrix-1444

a 0 a a a 0
0 a 0 a 0 0
b 0 b b b 0
0 b 0 b 0 0
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b 0 b 0 0
0 b c b c c
b 0 b b b 0
b 0 a b a c
b b b 0 b 0
b b a 0 a c
0 a 0 a 0 0
0 a c a c c
0 c 0 c 0 0
0 c c c c c
b a b c b 0
b a a c a c
b c b a b 0
b c a a a c
a 0 a a a 0
a 0 b a b c
a b a c a 0
a b b c b c
c 0 c c c 0
c 0 0 c 0 c
c b c a c 0
c b 0 a 0 c
a a a 0 a 0
a a b 0 b c
a c a b a 0
a c b b b c
c a c b c 0
c a 0 b 0 c
c c c 0 c 0
c c 0 0 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 3x3 + 8x4 + 13x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)4 (X_b)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)4 (X_a)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c

Is it a nice code?: No

Generator Matrix-1445

a 0 a a a 0
0 a 0 a 0 0
b 0 b b b 0
0 b 0 b 0 0
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b 0 b 0 0
0 b c a 0 0
b 0 b b b 0
b 0 a a b 0
b b b 0 b 0
b b a c b 0
0 a 0 a 0 0
0 a c b 0 0
0 c 0 c 0 0
0 c c 0 0 0
b a b c b 0
b a a 0 b 0
b c b a b 0
b c a b b 0
a 0 a a a 0
a 0 b b a 0
a b a c a 0
a b b 0 a 0
c 0 c c c 0
c 0 0 0 c 0
c b c a c 0
c b 0 b c 0
a a a 0 a 0
a a b c a 0
a c a b a 0
a c b a a 0
c a c b c 0
c a 0 a c 0
c c c 0 c 0
c c 0 c c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 6x2 + 2x3 + 13x4 + 10x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_b)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)4 (X_a)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c

Is it a nice code?: No

Generator Matrix-1446

a 0 a a a 0
0 a 0 a 0 0
b 0 b b b 0
0 b 0 b 0 0
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b 0 b 0 0
0 b c a 0 c
b 0 b b b 0
b 0 a a b c
b b b 0 b 0
b b a c b c
0 a 0 a 0 0
0 a c b 0 c
0 c 0 c 0 0
0 c c 0 0 c
b a b c b 0
b a a 0 b c
b c b a b 0
b c a b b c
a 0 a a a 0
a 0 b b a c
a b a c a 0
a b b 0 a c
c 0 c c c 0
c 0 0 0 c c
c b c a c 0
c b 0 b c c
a a a 0 a 0
a a b c a c
a c a b a 0
a c b a a c
c a c b c 0
c a 0 a c c
c c c 0 c 0
c c 0 c c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 3x3 + 8x4 + 13x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_b)4 + (X_a)1 (X_b)3 (X_c)2 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)4 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)2 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c

Is it a nice code?: No

Generator Matrix-1447

a 0 a a a 0
0 a 0 a 0 0
b 0 b b b 0
0 b 0 b 0 0
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b 0 b 0 0
0 b c a c 0
b 0 b b b 0
b 0 a a a 0
b b b 0 b 0
b b a c a 0
0 a 0 a 0 0
0 a c b c 0
0 c 0 c 0 0
0 c c 0 c 0
b a b c b 0
b a a 0 a 0
b c b a b 0
b c a b a 0
a 0 a a a 0
a 0 b b b 0
a b a c a 0
a b b 0 b 0
c 0 c c c 0
c 0 0 0 0 0
c b c a c 0
c b 0 b 0 0
a a a 0 a 0
a a b c b 0
a c a b a 0
a c b a b 0
c a c b c 0
c a 0 a 0 0
c c c 0 c 0
c c 0 c 0 0

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 3x2 + 5x3 + 12x4 + 10x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_b)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)3 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_a)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c

Is it a nice code?: No

Generator Matrix-1448

a 0 a a a 0
0 a 0 a 0 0
b 0 b b b 0
0 b 0 b 0 0
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b 0 b 0 0
0 b c a c c
b 0 b b b 0
b 0 a a a c
b b b 0 b 0
b b a c a c
0 a 0 a 0 0
0 a c b c c
0 c 0 c 0 0
0 c c 0 c c
b a b c b 0
b a a 0 a c
b c b a b 0
b c a b a c
a 0 a a a 0
a 0 b b b c
a b a c a 0
a b b 0 b c
c 0 c c c 0
c 0 0 0 0 c
c b c a c 0
c b 0 b 0 c
a a a 0 a 0
a a b c b c
a c a b a 0
a c b a b c
c a c b c 0
c a 0 a 0 c
c c c 0 c 0
c c 0 c 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 0x3 + 11x4 + 12x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)4 (X_b)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_b)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_b)4 + (X_a)2 (X_b)2 (X_c)2 + (X_0)4 (X_a)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c

Is it a nice code?: No

Generator Matrix-1449

a 0 a a a 0
0 a 0 a 0 a
b 0 b b b 0
0 b 0 b 0 b
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b 0 b 0 b
0 b c b 0 b
b 0 b b b 0
b 0 a b b 0
b b b 0 b b
b b a 0 b b
0 a 0 a 0 a
0 a c a 0 a
0 c 0 c 0 c
0 c c c 0 c
b a b c b a
b a a c b a
b c b a b c
b c a a b c
a 0 a a a 0
a 0 b a a 0
a b a c a b
a b b c a b
c 0 c c c 0
c 0 0 c c 0
c b c a c b
c b 0 a c b
a a a 0 a a
a a b 0 a a
a c a b a c
a c b b a c
c a c b c a
c a 0 b c a
c c c 0 c c
c c 0 0 c c

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 0x2 + 4x3 + 9x4 + 7x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_b)3 (X_c)1 + (X_0)2 (X_b)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_b)5 + (X_0)1 (X_a)1 (X_b)4 + (X_0)3 (X_a)3 + (X_0)2 (X_a)3 (X_c)1 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_a)2 (X_b)3 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)2 (X_a)3 (X_b)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)5 + (X_0)1 (X_a)4 (X_b)1 + (X_a)3 (X_b)1 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1450

a 0 a a a 0
0 a 0 a 0 a
b 0 b b b 0
0 b 0 b 0 b
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b 0 b 0 b
0 b c b 0 a
b 0 b b b 0
b 0 a b b c
b b b 0 b b
b b a 0 b a
0 a 0 a 0 a
0 a c a 0 b
0 c 0 c 0 c
0 c c c 0 0
b a b c b a
b a a c b b
b c b a b c
b c a a b 0
a 0 a a a 0
a 0 b a a c
a b a c a b
a b b c a a
c 0 c c c 0
c 0 0 c c c
c b c a c b
c b 0 a c a
a a a 0 a a
a a b 0 a b
a c a b a c
a c b b a 0
c a c b c a
c a 0 b c b
c c c 0 c c
c c 0 0 c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 5x3 + 6x4 + 11x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_b)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_a)2 (X_b)3 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)5 + (X_0)1 (X_a)3 (X_b)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1451

a 0 a a a 0
0 a 0 a 0 a
b 0 b b b 0
0 b 0 b 0 b
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b 0 b 0 b
0 b c b c b
b 0 b b b 0
b 0 a b a 0
b b b 0 b b
b b a 0 a b
0 a 0 a 0 a
0 a c a c a
0 c 0 c 0 c
0 c c c c c
b a b c b a
b a a c a a
b c b a b c
b c a a a c
a 0 a a a 0
a 0 b a b 0
a b a c a b
a b b c b b
c 0 c c c 0
c 0 0 c 0 0
c b c a c b
c b 0 a 0 b
a a a 0 a a
a a b 0 b a
a c a b a c
a c b b b c
c a c b c a
c a 0 b 0 a
c c c 0 c c
c c 0 0 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 2x2 + 4x3 + 7x4 + 8x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_b)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)3 (X_a)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_a)2 (X_b)3 (X_c)1 + (X_a)4 (X_b)1 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_a)3 (X_b)2 (X_c)1 + (X_a)1 (X_b)4 (X_c)1 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)3 (X_b)2 + (X_a)3 (X_b)1 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1452

a 0 a a a 0
0 a 0 a 0 a
b 0 b b b 0
0 b 0 b 0 b
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b 0 b 0 b
0 b c b c a
b 0 b b b 0
b 0 a b a c
b b b 0 b b
b b a 0 a a
0 a 0 a 0 a
0 a c a c b
0 c 0 c 0 c
0 c c c c 0
b a b c b a
b a a c a b
b c b a b c
b c a a a 0
a 0 a a a 0
a 0 b a b c
a b a c a b
a b b c b a
c 0 c c c 0
c 0 0 c 0 c
c b c a c b
c b 0 a 0 a
a a a 0 a a
a a b 0 b b
a c a b a c
a c b b b 0
c a c b c a
c a 0 b 0 b
c c c 0 c c
c c 0 0 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 5x3 + 6x4 + 11x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_b)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_a)2 (X_b)3 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)2 (X_b)3 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1453

a 0 a a a 0
0 a 0 a 0 a
b 0 b b b 0
0 b 0 b 0 b
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b 0 b 0 b
0 b c a 0 b
b 0 b b b 0
b 0 a a b 0
b b b 0 b b
b b a c b b
0 a 0 a 0 a
0 a c b 0 a
0 c 0 c 0 c
0 c c 0 0 c
b a b c b a
b a a 0 b a
b c b a b c
b c a b b c
a 0 a a a 0
a 0 b b a 0
a b a c a b
a b b 0 a b
c 0 c c c 0
c 0 0 0 c 0
c b c a c b
c b 0 b c b
a a a 0 a a
a a b c a a
a c a b a c
a c b a a c
c a c b c a
c a 0 a c a
c c c 0 c c
c c 0 c c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 2x2 + 4x3 + 7x4 + 8x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_b)5 + (X_a)1 (X_b)4 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_a)1 (X_b)3 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)5 + (X_a)4 (X_b)1 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1454

a 0 a a a 0
0 a 0 a 0 a
b 0 b b b 0
0 b 0 b 0 b
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b 0 b 0 b
0 b c a 0 a
b 0 b b b 0
b 0 a a b c
b b b 0 b b
b b a c b a
0 a 0 a 0 a
0 a c b 0 b
0 c 0 c 0 c
0 c c 0 0 0
b a b c b a
b a a 0 b b
b c b a b c
b c a b b 0
a 0 a a a 0
a 0 b b a c
a b a c a b
a b b 0 a a
c 0 c c c 0
c 0 0 0 c c
c b c a c b
c b 0 b c a
a a a 0 a a
a a b c a b
a c a b a c
a c b a a 0
c a c b c a
c a 0 a c b
c c c 0 c c
c c 0 c c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 5x3 + 6x4 + 11x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_b)5 + (X_a)2 (X_b)3 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)5 + (X_a)3 (X_b)2 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1455

a 0 a a a 0
0 a 0 a 0 a
b 0 b b b 0
0 b 0 b 0 b
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b 0 b 0 b
0 b c a c b
b 0 b b b 0
b 0 a a a 0
b b b 0 b b
b b a c a b
0 a 0 a 0 a
0 a c b c a
0 c 0 c 0 c
0 c c 0 c c
b a b c b a
b a a 0 a a
b c b a b c
b c a b a c
a 0 a a a 0
a 0 b b b 0
a b a c a b
a b b 0 b b
c 0 c c c 0
c 0 0 0 0 0
c b c a c b
c b 0 b 0 b
a a a 0 a a
a a b c b a
a c a b a c
a c b a b c
c a c b c a
c a 0 a 0 a
c c c 0 c c
c c 0 c 0 c

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 0x2 + 4x3 + 9x4 + 7x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_b)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_b)5 + (X_a)2 (X_b)3 (X_c)1 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)4 (X_b)1 + (X_a)1 (X_b)3 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)2 (X_a)1 (X_b)3 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)4 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)5 + (X_a)3 (X_b)2 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)3 (X_c)1 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1456

a 0 a a a 0
0 a 0 a 0 a
b 0 b b b 0
0 b 0 b 0 b
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b 0 b 0 b
0 b c a c a
b 0 b b b 0
b 0 a a a c
b b b 0 b b
b b a c a a
0 a 0 a 0 a
0 a c b c b
0 c 0 c 0 c
0 c c 0 c 0
b a b c b a
b a a 0 a b
b c b a b c
b c a b a 0
a 0 a a a 0
a 0 b b b c
a b a c a b
a b b 0 b a
c 0 c c c 0
c 0 0 0 0 c
c b c a c b
c b 0 b 0 a
a a a 0 a a
a a b c b b
a c a b a c
a c b a b 0
c a c b c a
c a 0 a 0 b
c c c 0 c c
c c 0 c 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 5x3 + 6x4 + 11x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)3 (X_b)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_b)5 + (X_a)3 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)5 + (X_a)2 (X_b)3 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1457

a 0 a a a 0
0 a 0 a a 0
b 0 b b b 0
0 b 0 b b 0
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b 0 b b 0
0 b c b b 0
b 0 b b b 0
b 0 a b b 0
b b b 0 0 0
b b a 0 0 0
0 a 0 a a 0
0 a c a a 0
0 c 0 c c 0
0 c c c c 0
b a b c c 0
b a a c c 0
b c b a a 0
b c a a a 0
a 0 a a a 0
a 0 b a a 0
a b a c c 0
a b b c c 0
c 0 c c c 0
c 0 0 c c 0
c b c a a 0
c b 0 a a 0
a a a 0 0 0
a a b 0 0 0
a c a b b 0
a c b b b 0
c a c b b 0
c a 0 b b 0
c c c 0 0 0
c c 0 0 0 0

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 1x2 + 9x3 + 10x4 + 10x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_b)3 (X_c)1 + (X_0)2 (X_b)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)3 (X_b)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)3 (X_c)1 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_a)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c

Is it a nice code?: No

Generator Matrix-1458

a 0 a a a 0
0 a 0 a a 0
b 0 b b b 0
0 b 0 b b 0
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b 0 b b 0
0 b c b b c
b 0 b b b 0
b 0 a b b c
b b b 0 0 0
b b a 0 0 c
0 a 0 a a 0
0 a c a a c
0 c 0 c c 0
0 c c c c c
b a b c c 0
b a a c c c
b c b a a 0
b c a a a c
a 0 a a a 0
a 0 b a a c
a b a c c 0
a b b c c c
c 0 c c c 0
c 0 0 c c c
c b c a a 0
c b 0 a a c
a a a 0 0 0
a a b 0 0 c
a c a b b 0
a c b b b c
c a c b b 0
c a 0 b b c
c c c 0 0 0
c c 0 0 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 7x3 + 6x4 + 13x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c

Is it a nice code?: No

Generator Matrix-1459

a 0 a a a 0
0 a 0 a a 0
b 0 b b b 0
0 b 0 b b 0
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b 0 b b 0
0 b c b a 0
b 0 b b b 0
b 0 a b a 0
b b b 0 0 0
b b a 0 c 0
0 a 0 a a 0
0 a c a b 0
0 c 0 c c 0
0 c c c 0 0
b a b c c 0
b a a c 0 0
b c b a a 0
b c a a b 0
a 0 a a a 0
a 0 b a b 0
a b a c c 0
a b b c 0 0
c 0 c c c 0
c 0 0 c 0 0
c b c a a 0
c b 0 a b 0
a a a 0 0 0
a a b 0 c 0
a c a b b 0
a c b b a 0
c a c b b 0
c a 0 b a 0
c c c 0 0 0
c c 0 0 c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 2x2 + 8x3 + 13x4 + 8x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c

Is it a nice code?: No

Generator Matrix-1460

a 0 a a a 0
0 a 0 a a 0
b 0 b b b 0
0 b 0 b b 0
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b 0 b b 0
0 b c b a c
b 0 b b b 0
b 0 a b a c
b b b 0 0 0
b b a 0 c c
0 a 0 a a 0
0 a c a b c
0 c 0 c c 0
0 c c c 0 c
b a b c c 0
b a a c 0 c
b c b a a 0
b c a a b c
a 0 a a a 0
a 0 b a b c
a b a c c 0
a b b c 0 c
c 0 c c c 0
c 0 0 c 0 c
c b c a a 0
c b 0 a b c
a a a 0 0 0
a a b 0 c c
a c a b b 0
a c b b a c
c a c b b 0
c a 0 b a c
c c c 0 0 0
c c 0 0 c c

dmin: 3
Weight Enumerator: 1x0 + 0x1 + 0x2 + 8x3 + 5x4 + 16x5 + 2x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c

Is it a nice code?: No

Generator Matrix-1461

a 0 a a a 0
0 a 0 a a 0
b 0 b b b 0
0 b 0 b b 0
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b 0 b b 0
0 b c a b 0
b 0 b b b 0
b 0 a a b 0
b b b 0 0 0
b b a c 0 0
0 a 0 a a 0
0 a c b a 0
0 c 0 c c 0
0 c c 0 c 0
b a b c c 0
b a a 0 c 0
b c b a a 0
b c a b a 0
a 0 a a a 0
a 0 b b a 0
a b a c c 0
a b b 0 c 0
c 0 c c c 0
c 0 0 0 c 0
c b c a a 0
c b 0 b a 0
a a a 0 0 0
a a b c 0 0
a c a b b 0
a c b a b 0
c a c b b 0
c a 0 a b 0
c c c 0 0 0
c c 0 c 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 2x2 + 8x3 + 13x4 + 8x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c

Is it a nice code?: No

Generator Matrix-1462

a 0 a a a 0
0 a 0 a a 0
b 0 b b b 0
0 b 0 b b 0
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b 0 b b 0
0 b c a b c
b 0 b b b 0
b 0 a a b c
b b b 0 0 0
b b a c 0 c
0 a 0 a a 0
0 a c b a c
0 c 0 c c 0
0 c c 0 c c
b a b c c 0
b a a 0 c c
b c b a a 0
b c a b a c
a 0 a a a 0
a 0 b b a c
a b a c c 0
a b b 0 c c
c 0 c c c 0
c 0 0 0 c c
c b c a a 0
c b 0 b a c
a a a 0 0 0
a a b c 0 c
a c a b b 0
a c b a b c
c a c b b 0
c a 0 a b c
c c c 0 0 0
c c 0 c 0 c

dmin: 3
Weight Enumerator: 1x0 + 0x1 + 0x2 + 8x3 + 5x4 + 16x5 + 2x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c

Is it a nice code?: No

Generator Matrix-1463

a 0 a a a 0
0 a 0 a a 0
b 0 b b b 0
0 b 0 b b 0
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b 0 b b 0
0 b c a a 0
b 0 b b b 0
b 0 a a a 0
b b b 0 0 0
b b a c c 0
0 a 0 a a 0
0 a c b b 0
0 c 0 c c 0
0 c c 0 0 0
b a b c c 0
b a a 0 0 0
b c b a a 0
b c a b b 0
a 0 a a a 0
a 0 b b b 0
a b a c c 0
a b b 0 0 0
c 0 c c c 0
c 0 0 0 0 0
c b c a a 0
c b 0 b b 0
a a a 0 0 0
a a b c c 0
a c a b b 0
a c b a a 0
c a c b b 0
c a 0 a a 0
c c c 0 0 0
c c 0 c c 0

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 1x2 + 9x3 + 10x4 + 10x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_b)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)2 (X_b)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)1 (X_b)2 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_b)3 (X_c)1 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)3 (X_c)1 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c

Is it a nice code?: No

Generator Matrix-1464

a 0 a a a 0
0 a 0 a a 0
b 0 b b b 0
0 b 0 b b 0
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b 0 b b 0
0 b c a a c
b 0 b b b 0
b 0 a a a c
b b b 0 0 0
b b a c c c
0 a 0 a a 0
0 a c b b c
0 c 0 c c 0
0 c c 0 0 c
b a b c c 0
b a a 0 0 c
b c b a a 0
b c a b b c
a 0 a a a 0
a 0 b b b c
a b a c c 0
a b b 0 0 c
c 0 c c c 0
c 0 0 0 0 c
c b c a a 0
c b 0 b b c
a a a 0 0 0
a a b c c c
a c a b b 0
a c b a a c
c a c b b 0
c a 0 a a c
c c c 0 0 0
c c 0 c c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 7x3 + 6x4 + 13x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)3 (X_b)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)3 (X_b)3 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)3 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c

Is it a nice code?: No

Generator Matrix-1465

a 0 a a a 0
0 a 0 a a a
b 0 b b b 0
0 b 0 b b b
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b 0 b b b
0 b c b b b
b 0 b b b 0
b 0 a b b 0
b b b 0 0 b
b b a 0 0 b
0 a 0 a a a
0 a c a a a
0 c 0 c c c
0 c c c c c
b a b c c a
b a a c c a
b c b a a c
b c a a a c
a 0 a a a 0
a 0 b a a 0
a b a c c b
a b b c c b
c 0 c c c 0
c 0 0 c c 0
c b c a a b
c b 0 a a b
a a a 0 0 a
a a b 0 0 a
a c a b b c
a c b b b c
c a c b b a
c a 0 b b a
c c c 0 0 c
c c 0 0 0 c

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 0x2 + 2x3 + 13x4 + 5x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_b)4 (X_c)1 + (X_0)2 (X_b)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)2 (X_b)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)2 (X_a)4 + (X_0)1 (X_a)4 (X_c)1 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_a)2 (X_b)2 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)4 + (X_0)2 (X_a)3 (X_b)1 + (X_a)2 (X_b)2 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)3 (X_b)1 + (X_a)2 (X_b)2 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1466

a 0 a a a 0
0 a 0 a a a
b 0 b b b 0
0 b 0 b b b
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b 0 b b b
0 b c b b a
b 0 b b b 0
b 0 a b b c
b b b 0 0 b
b b a 0 0 a
0 a 0 a a a
0 a c a a b
0 c 0 c c c
0 c c c c 0
b a b c c a
b a a c c b
b c b a a c
b c a a a 0
a 0 a a a 0
a 0 b a a c
a b a c c b
a b b c c a
c 0 c c c 0
c 0 0 c c c
c b c a a b
c b 0 a a a
a a a 0 0 a
a a b 0 0 b
a c a b b c
a c b b b 0
c a c b b a
c a 0 b b b
c c c 0 0 c
c c 0 0 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 2x2 + 0x3 + 13x4 + 8x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_a)2 (X_b)2 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1467

a 0 a a a 0
0 a 0 a a a
b 0 b b b 0
0 b 0 b b b
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b 0 b b b
0 b c b a b
b 0 b b b 0
b 0 a b a 0
b b b 0 0 b
b b a 0 c b
0 a 0 a a a
0 a c a b a
0 c 0 c c c
0 c c c 0 c
b a b c c a
b a a c 0 a
b c b a a c
b c a a b c
a 0 a a a 0
a 0 b a b 0
a b a c c b
a b b c 0 b
c 0 c c c 0
c 0 0 c 0 0
c b c a a b
c b 0 a b b
a a a 0 0 a
a a b 0 c a
a c a b b c
a c b b a c
c a c b b a
c a 0 b a a
c c c 0 0 c
c c 0 0 c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 2x2 + 0x3 + 13x4 + 8x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1468

a 0 a a a 0
0 a 0 a a a
b 0 b b b 0
0 b 0 b b b
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b 0 b b b
0 b c b a a
b 0 b b b 0
b 0 a b a c
b b b 0 0 b
b b a 0 c a
0 a 0 a a a
0 a c a b b
0 c 0 c c c
0 c c c 0 0
b a b c c a
b a a c 0 b
b c b a a c
b c a a b 0
a 0 a a a 0
a 0 b a b c
a b a c c b
a b b c 0 a
c 0 c c c 0
c 0 0 c 0 c
c b c a a b
c b 0 a b a
a a a 0 0 a
a a b 0 c b
a c a b b c
a c b b a 0
c a c b b a
c a 0 b a b
c c c 0 0 c
c c 0 0 c 0

dmin: 3
Weight Enumerator: 1x0 + 0x1 + 0x2 + 4x3 + 9x4 + 12x5 + 6x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1469

a 0 a a a 0
0 a 0 a a a
b 0 b b b 0
0 b 0 b b b
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b 0 b b b
0 b c a b b
b 0 b b b 0
b 0 a a b 0
b b b 0 0 b
b b a c 0 b
0 a 0 a a a
0 a c b a a
0 c 0 c c c
0 c c 0 c c
b a b c c a
b a a 0 c a
b c b a a c
b c a b a c
a 0 a a a 0
a 0 b b a 0
a b a c c b
a b b 0 c b
c 0 c c c 0
c 0 0 0 c 0
c b c a a b
c b 0 b a b
a a a 0 0 a
a a b c 0 a
a c a b b c
a c b a b c
c a c b b a
c a 0 a b a
c c c 0 0 c
c c 0 c 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 2x2 + 0x3 + 13x4 + 8x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1470

a 0 a a a 0
0 a 0 a a a
b 0 b b b 0
0 b 0 b b b
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b 0 b b b
0 b c a b a
b 0 b b b 0
b 0 a a b c
b b b 0 0 b
b b a c 0 a
0 a 0 a a a
0 a c b a b
0 c 0 c c c
0 c c 0 c 0
b a b c c a
b a a 0 c b
b c b a a c
b c a b a 0
a 0 a a a 0
a 0 b b a c
a b a c c b
a b b 0 c a
c 0 c c c 0
c 0 0 0 c c
c b c a a b
c b 0 b a a
a a a 0 0 a
a a b c 0 b
a c a b b c
a c b a b 0
c a c b b a
c a 0 a b b
c c c 0 0 c
c c 0 c 0 0

dmin: 3
Weight Enumerator: 1x0 + 0x1 + 0x2 + 4x3 + 9x4 + 12x5 + 6x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1471

a 0 a a a 0
0 a 0 a a a
b 0 b b b 0
0 b 0 b b b
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b 0 b b b
0 b c a a b
b 0 b b b 0
b 0 a a a 0
b b b 0 0 b
b b a c c b
0 a 0 a a a
0 a c b b a
0 c 0 c c c
0 c c 0 0 c
b a b c c a
b a a 0 0 a
b c b a a c
b c a b b c
a 0 a a a 0
a 0 b b b 0
a b a c c b
a b b 0 0 b
c 0 c c c 0
c 0 0 0 0 0
c b c a a b
c b 0 b b b
a a a 0 0 a
a a b c c a
a c a b b c
a c b a a c
c a c b b a
c a 0 a a a
c c c 0 0 c
c c 0 c c c

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 0x2 + 2x3 + 13x4 + 5x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_b)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)2 (X_b)4 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)3 (X_b)1 + (X_a)2 (X_b)2 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)4 + (X_0)2 (X_a)1 (X_b)3 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)3 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_b)4 (X_c)1 + (X_0)2 (X_a)4 + (X_a)3 (X_b)1 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)4 (X_c)1 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1472

a 0 a a a 0
0 a 0 a a a
b 0 b b b 0
0 b 0 b b b
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b 0 b b b
0 b c a a a
b 0 b b b 0
b 0 a a a c
b b b 0 0 b
b b a c c a
0 a 0 a a a
0 a c b b b
0 c 0 c c c
0 c c 0 0 0
b a b c c a
b a a 0 0 b
b c b a a c
b c a b b 0
a 0 a a a 0
a 0 b b b c
a b a c c b
a b b 0 0 a
c 0 c c c 0
c 0 0 0 0 c
c b c a a b
c b 0 b b a
a a a 0 0 a
a a b c c b
a c a b b c
a c b a a 0
c a c b b a
c a 0 a a b
c c c 0 0 c
c c 0 c c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 2x2 + 0x3 + 13x4 + 8x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)2 (X_b)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_b)4 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_a)2 (X_b)2 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1473

a 0 a a a a
0 a 0 0 0 0
b 0 b b b b
0 b 0 0 0 0
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b 0 0 0 0
0 b c 0 0 0
b 0 b b b b
b 0 a b b b
b b b b b b
b b a b b b
0 a 0 0 0 0
0 a c 0 0 0
0 c 0 0 0 0
0 c c 0 0 0
b a b b b b
b a a b b b
b c b b b b
b c a b b b
a 0 a a a a
a 0 b a a a
a b a a a a
a b b a a a
c 0 c c c c
c 0 0 c c c
c b c c c c
c b 0 c c c
a a a a a a
a a b a a a
a c a a a a
a c b a a a
c a c c c c
c a 0 c c c
c c c c c c
c c 0 c c c

dmin: 1
Weight Enumerator: 1x0 + 4x1 + 3x2 + 0x3 + 1x4 + 8x5 + 15x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)5 (X_b)1 + (X_0)4 (X_b)1 (X_c)1 + (X_0)1 (X_b)5 + (X_0)1 (X_a)1 (X_b)4 + (X_b)6 + (X_a)1 (X_b)5 + (X_0)5 (X_a)1 + (X_0)4 (X_a)1 (X_c)1 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_a)1 (X_b)5 + (X_a)2 (X_b)4 + (X_b)5 (X_c)1 + (X_a)1 (X_b)4 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)4 (X_b)1 + (X_a)5 (X_b)1 + (X_a)4 (X_b)2 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_b)1 (X_c)5 + (X_0)1 (X_b)1 (X_c)4 + (X_a)6 + (X_a)5 (X_b)1 + (X_a)5 (X_c)1 + (X_a)4 (X_b)1 (X_c)1 + (X_a)1 (X_c)5 + (X_0)1 (X_a)1 (X_c)4 + (X_c)6 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1474

a 0 a a a a
0 a 0 0 0 0
b 0 b b b b
0 b 0 0 0 0
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b 0 0 0 0
0 b c 0 0 c
b 0 b b b b
b 0 a b b a
b b b b b b
b b a b b a
0 a 0 0 0 0
0 a c 0 0 c
0 c 0 0 0 0
0 c c 0 0 c
b a b b b b
b a a b b a
b c b b b b
b c a b b a
a 0 a a a a
a 0 b a a b
a b a a a a
a b b a a b
c 0 c c c c
c 0 0 c c 0
c b c c c c
c b 0 c c 0
a a a a a a
a a b a a b
a c a a a a
a c b a a b
c a c c c c
c a 0 c c 0
c c c c c c
c c 0 c c 0

dmin: 1
Weight Enumerator: 1x0 + 3x1 + 1x2 + 4x3 + 3x4 + 5x5 + 15x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)5 (X_b)1 + (X_0)3 (X_b)1 (X_c)2 + (X_0)1 (X_b)5 + (X_0)1 (X_a)2 (X_b)3 + (X_b)6 + (X_a)2 (X_b)4 + (X_0)5 (X_a)1 + (X_0)3 (X_a)1 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_a)1 (X_b)5 + (X_a)3 (X_b)3 + (X_b)5 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)3 (X_b)2 + (X_a)5 (X_b)1 + (X_a)3 (X_b)3 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_b)1 (X_c)5 + (X_0)2 (X_b)1 (X_c)3 + (X_a)6 + (X_a)4 (X_b)2 + (X_a)5 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)1 (X_c)5 + (X_0)2 (X_a)1 (X_c)3 + (X_c)6 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1475

a 0 a a a a
0 a 0 0 0 0
b 0 b b b b
0 b 0 0 0 0
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b 0 0 0 0
0 b c 0 c 0
b 0 b b b b
b 0 a b a b
b b b b b b
b b a b a b
0 a 0 0 0 0
0 a c 0 c 0
0 c 0 0 0 0
0 c c 0 c 0
b a b b b b
b a a b a b
b c b b b b
b c a b a b
a 0 a a a a
a 0 b a b a
a b a a a a
a b b a b a
c 0 c c c c
c 0 0 c 0 c
c b c c c c
c b 0 c 0 c
a a a a a a
a a b a b a
a c a a a a
a c b a b a
c a c c c c
c a 0 c 0 c
c c c c c c
c c 0 c 0 c

dmin: 1
Weight Enumerator: 1x0 + 3x1 + 1x2 + 4x3 + 3x4 + 5x5 + 15x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)5 (X_b)1 + (X_0)3 (X_b)1 (X_c)2 + (X_0)1 (X_b)5 + (X_0)1 (X_a)2 (X_b)3 + (X_b)6 + (X_a)2 (X_b)4 + (X_0)5 (X_a)1 + (X_0)3 (X_a)1 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_a)1 (X_b)5 + (X_a)3 (X_b)3 + (X_b)5 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)3 (X_b)2 + (X_a)5 (X_b)1 + (X_a)3 (X_b)3 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_b)1 (X_c)5 + (X_0)2 (X_b)1 (X_c)3 + (X_a)6 + (X_a)4 (X_b)2 + (X_a)5 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)1 (X_c)5 + (X_0)2 (X_a)1 (X_c)3 + (X_c)6 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1476

a 0 a a a a
0 a 0 0 0 0
b 0 b b b b
0 b 0 0 0 0
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b 0 0 0 0
0 b c 0 c c
b 0 b b b b
b 0 a b a a
b b b b b b
b b a b a a
0 a 0 0 0 0
0 a c 0 c c
0 c 0 0 0 0
0 c c 0 c c
b a b b b b
b a a b a a
b c b b b b
b c a b a a
a 0 a a a a
a 0 b a b b
a b a a a a
a b b a b b
c 0 c c c c
c 0 0 c 0 0
c b c c c c
c b 0 c 0 0
a a a a a a
a a b a b b
a c a a a a
a c b a b b
c a c c c c
c a 0 c 0 0
c c c c c c
c c 0 c 0 0

dmin: 1
Weight Enumerator: 1x0 + 3x1 + 1x2 + 4x3 + 3x4 + 5x5 + 15x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)5 (X_b)1 + (X_0)2 (X_b)1 (X_c)3 + (X_0)1 (X_b)5 + (X_0)1 (X_a)3 (X_b)2 + (X_b)6 + (X_a)3 (X_b)3 + (X_0)5 (X_a)1 + (X_0)2 (X_a)1 (X_c)3 + (X_0)5 (X_c)1 + (X_0)2 (X_c)4 + (X_a)1 (X_b)5 + (X_a)4 (X_b)2 + (X_b)5 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)2 (X_b)3 + (X_a)5 (X_b)1 + (X_a)2 (X_b)4 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2 + (X_b)1 (X_c)5 + (X_0)3 (X_b)1 (X_c)2 + (X_a)6 + (X_a)3 (X_b)3 + (X_a)5 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)1 (X_c)5 + (X_0)3 (X_a)1 (X_c)2 + (X_c)6 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1477

a 0 a a a a
0 a 0 0 0 0
b 0 b b b b
0 b 0 0 0 0
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b 0 0 0 0
0 b c c 0 0
b 0 b b b b
b 0 a a b b
b b b b b b
b b a a b b
0 a 0 0 0 0
0 a c c 0 0
0 c 0 0 0 0
0 c c c 0 0
b a b b b b
b a a a b b
b c b b b b
b c a a b b
a 0 a a a a
a 0 b b a a
a b a a a a
a b b b a a
c 0 c c c c
c 0 0 0 c c
c b c c c c
c b 0 0 c c
a a a a a a
a a b b a a
a c a a a a
a c b b a a
c a c c c c
c a 0 0 c c
c c c c c c
c c 0 0 c c

dmin: 1
Weight Enumerator: 1x0 + 3x1 + 1x2 + 4x3 + 3x4 + 5x5 + 15x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)5 (X_b)1 + (X_0)3 (X_b)1 (X_c)2 + (X_0)1 (X_b)5 + (X_0)1 (X_a)2 (X_b)3 + (X_b)6 + (X_a)2 (X_b)4 + (X_0)5 (X_a)1 + (X_0)3 (X_a)1 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_a)1 (X_b)5 + (X_a)3 (X_b)3 + (X_b)5 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)3 (X_b)2 + (X_a)5 (X_b)1 + (X_a)3 (X_b)3 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_b)1 (X_c)5 + (X_0)2 (X_b)1 (X_c)3 + (X_a)6 + (X_a)4 (X_b)2 + (X_a)5 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)1 (X_c)5 + (X_0)2 (X_a)1 (X_c)3 + (X_c)6 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1478

a 0 a a a a
0 a 0 0 0 0
b 0 b b b b
0 b 0 0 0 0
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b 0 0 0 0
0 b c c 0 c
b 0 b b b b
b 0 a a b a
b b b b b b
b b a a b a
0 a 0 0 0 0
0 a c c 0 c
0 c 0 0 0 0
0 c c c 0 c
b a b b b b
b a a a b a
b c b b b b
b c a a b a
a 0 a a a a
a 0 b b a b
a b a a a a
a b b b a b
c 0 c c c c
c 0 0 0 c 0
c b c c c c
c b 0 0 c 0
a a a a a a
a a b b a b
a c a a a a
a c b b a b
c a c c c c
c a 0 0 c 0
c c c c c c
c c 0 0 c 0

dmin: 1
Weight Enumerator: 1x0 + 3x1 + 1x2 + 4x3 + 3x4 + 5x5 + 15x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)5 (X_b)1 + (X_0)2 (X_b)1 (X_c)3 + (X_0)1 (X_b)5 + (X_0)1 (X_a)3 (X_b)2 + (X_b)6 + (X_a)3 (X_b)3 + (X_0)5 (X_a)1 + (X_0)2 (X_a)1 (X_c)3 + (X_0)5 (X_c)1 + (X_0)2 (X_c)4 + (X_a)1 (X_b)5 + (X_a)4 (X_b)2 + (X_b)5 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)2 (X_b)3 + (X_a)5 (X_b)1 + (X_a)2 (X_b)4 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2 + (X_b)1 (X_c)5 + (X_0)3 (X_b)1 (X_c)2 + (X_a)6 + (X_a)3 (X_b)3 + (X_a)5 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)1 (X_c)5 + (X_0)3 (X_a)1 (X_c)2 + (X_c)6 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1479

a 0 a a a a
0 a 0 0 0 0
b 0 b b b b
0 b 0 0 0 0
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b 0 0 0 0
0 b c c c 0
b 0 b b b b
b 0 a a a b
b b b b b b
b b a a a b
0 a 0 0 0 0
0 a c c c 0
0 c 0 0 0 0
0 c c c c 0
b a b b b b
b a a a a b
b c b b b b
b c a a a b
a 0 a a a a
a 0 b b b a
a b a a a a
a b b b b a
c 0 c c c c
c 0 0 0 0 c
c b c c c c
c b 0 0 0 c
a a a a a a
a a b b b a
a c a a a a
a c b b b a
c a c c c c
c a 0 0 0 c
c c c c c c
c c 0 0 0 c

dmin: 1
Weight Enumerator: 1x0 + 3x1 + 1x2 + 4x3 + 3x4 + 5x5 + 15x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)5 (X_b)1 + (X_0)2 (X_b)1 (X_c)3 + (X_0)1 (X_b)5 + (X_0)1 (X_a)3 (X_b)2 + (X_b)6 + (X_a)3 (X_b)3 + (X_0)5 (X_a)1 + (X_0)2 (X_a)1 (X_c)3 + (X_0)5 (X_c)1 + (X_0)2 (X_c)4 + (X_a)1 (X_b)5 + (X_a)4 (X_b)2 + (X_b)5 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)2 (X_b)3 + (X_a)5 (X_b)1 + (X_a)2 (X_b)4 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2 + (X_b)1 (X_c)5 + (X_0)3 (X_b)1 (X_c)2 + (X_a)6 + (X_a)3 (X_b)3 + (X_a)5 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)1 (X_c)5 + (X_0)3 (X_a)1 (X_c)2 + (X_c)6 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1480

a 0 a a a a
0 a 0 0 0 0
b 0 b b b b
0 b 0 0 0 0
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b 0 0 0 0
0 b c c c c
b 0 b b b b
b 0 a a a a
b b b b b b
b b a a a a
0 a 0 0 0 0
0 a c c c c
0 c 0 0 0 0
0 c c c c c
b a b b b b
b a a a a a
b c b b b b
b c a a a a
a 0 a a a a
a 0 b b b b
a b a a a a
a b b b b b
c 0 c c c c
c 0 0 0 0 0
c b c c c c
c b 0 0 0 0
a a a a a a
a a b b b b
a c a a a a
a c b b b b
c a c c c c
c a 0 0 0 0
c c c c c c
c c 0 0 0 0

dmin: 1
Weight Enumerator: 1x0 + 4x1 + 3x2 + 0x3 + 1x4 + 8x5 + 15x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)5 (X_b)1 + (X_0)1 (X_b)1 (X_c)4 + (X_0)1 (X_b)5 + (X_0)1 (X_a)4 (X_b)1 + (X_b)6 + (X_a)4 (X_b)2 + (X_0)5 (X_a)1 + (X_0)1 (X_a)1 (X_c)4 + (X_0)5 (X_c)1 + (X_0)1 (X_c)5 + (X_a)1 (X_b)5 + (X_a)5 (X_b)1 + (X_b)5 (X_c)1 + (X_a)4 (X_b)1 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)1 (X_b)4 + (X_a)5 (X_b)1 + (X_a)1 (X_b)5 + (X_0)1 (X_c)5 + (X_0)5 (X_c)1 + (X_b)1 (X_c)5 + (X_0)4 (X_b)1 (X_c)1 + (X_a)6 + (X_a)2 (X_b)4 + (X_a)5 (X_c)1 + (X_a)1 (X_b)4 (X_c)1 + (X_a)1 (X_c)5 + (X_0)4 (X_a)1 (X_c)1 + (X_c)6 + (X_0)4 (X_c)2

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1481

a 0 a a a a
0 a 0 0 0 a
b 0 b b b b
0 b 0 0 0 b
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b 0 0 0 b
0 b c 0 0 b
b 0 b b b b
b 0 a b b b
b b b b b 0
b b a b b 0
0 a 0 0 0 a
0 a c 0 0 a
0 c 0 0 0 c
0 c c 0 0 c
b a b b b c
b a a b b c
b c b b b a
b c a b b a
a 0 a a a a
a 0 b a a a
a b a a a c
a b b a a c
c 0 c c c c
c 0 0 c c c
c b c c c a
c b 0 c c a
a a a a a 0
a a b a a 0
a c a a a b
a c b a a b
c a c c c b
c a 0 c c b
c c c c c 0
c c 0 c c 0

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 3x2 + 3x3 + 2x4 + 12x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)4 (X_b)2 + (X_0)3 (X_b)2 (X_c)1 + (X_0)1 (X_b)5 + (X_0)1 (X_a)1 (X_b)4 + (X_0)1 (X_b)5 + (X_0)1 (X_a)1 (X_b)4 + (X_0)4 (X_a)2 + (X_0)3 (X_a)2 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_a)1 (X_b)4 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)1 (X_b)4 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)4 (X_b)1 + (X_a)4 (X_b)1 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_a)1 (X_b)1 (X_c)4 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)5 + (X_0)1 (X_a)4 (X_b)1 + (X_a)4 (X_b)1 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)1 (X_b)1 (X_c)4 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1482

a 0 a a a a
0 a 0 0 0 a
b 0 b b b b
0 b 0 0 0 b
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b 0 0 0 b
0 b c 0 0 a
b 0 b b b b
b 0 a b b a
b b b b b 0
b b a b b c
0 a 0 0 0 a
0 a c 0 0 b
0 c 0 0 0 c
0 c c 0 0 0
b a b b b c
b a a b b 0
b c b b b a
b c a b b b
a 0 a a a a
a 0 b a a b
a b a a a c
a b b a a 0
c 0 c c c c
c 0 0 c c 0
c b c c c a
c b 0 c c b
a a a a a 0
a a b a a c
a c a a a b
a c b a a a
c a c c c b
c a 0 c c a
c c c c c 0
c c 0 c c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 5x2 + 3x3 + 0x4 + 13x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_b)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_b)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_b)5 + (X_a)1 (X_b)4 (X_c)1 + (X_0)4 (X_a)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_a)1 (X_b)4 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_a)1 (X_b)4 (X_c)1 + (X_a)1 (X_b)4 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)3 (X_b)2 + (X_a)4 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_a)1 (X_b)1 (X_c)4 + (X_0)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)5 + (X_a)4 (X_b)1 (X_c)1 + (X_a)4 (X_b)1 (X_c)1 + (X_a)4 (X_b)1 (X_c)1 + (X_a)1 (X_b)1 (X_c)4 + (X_0)1 (X_a)2 (X_c)3 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1483

a 0 a a a a
0 a 0 0 0 a
b 0 b b b b
0 b 0 0 0 b
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b 0 0 0 b
0 b c 0 c b
b 0 b b b b
b 0 a b a b
b b b b b 0
b b a b a 0
0 a 0 0 0 a
0 a c 0 c a
0 c 0 0 0 c
0 c c 0 c c
b a b b b c
b a a b a c
b c b b b a
b c a b a a
a 0 a a a a
a 0 b a b a
a b a a a c
a b b a b c
c 0 c c c c
c 0 0 c 0 c
c b c c c a
c b 0 c 0 a
a a a a a 0
a a b a b 0
a c a a a b
a c b a b b
c a c c c b
c a 0 c 0 b
c c c c c 0
c c 0 c 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 2x3 + 5x4 + 10x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)1 (X_b)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_b)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_a)1 (X_b)4 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)1 (X_b)4 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)3 (X_b)2 + (X_a)4 (X_b)1 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_a)1 (X_b)1 (X_c)4 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)5 + (X_0)1 (X_a)3 (X_b)2 + (X_a)4 (X_b)1 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)1 (X_b)1 (X_c)4 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1484

a 0 a a a a
0 a 0 0 0 a
b 0 b b b b
0 b 0 0 0 b
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b 0 0 0 b
0 b c 0 c a
b 0 b b b b
b 0 a b a a
b b b b b 0
b b a b a c
0 a 0 0 0 a
0 a c 0 c b
0 c 0 0 0 c
0 c c 0 c 0
b a b b b c
b a a b a 0
b c b b b a
b c a b a b
a 0 a a a a
a 0 b a b b
a b a a a c
a b b a b 0
c 0 c c c c
c 0 0 c 0 0
c b c c c a
c b 0 c 0 b
a a a a a 0
a a b a b c
a c a a a b
a c b a b a
c a c c c b
c a 0 c 0 a
c c c c c 0
c c 0 c 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 2x3 + 5x4 + 10x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_b)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_b)5 + (X_a)2 (X_b)3 (X_c)1 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_a)1 (X_b)4 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_a)1 (X_b)4 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)2 (X_b)3 + (X_a)4 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2 + (X_a)1 (X_b)1 (X_c)4 + (X_0)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)5 + (X_a)3 (X_b)2 (X_c)1 + (X_a)4 (X_b)1 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)1 (X_b)1 (X_c)4 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1485

a 0 a a a a
0 a 0 0 0 a
b 0 b b b b
0 b 0 0 0 b
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b 0 0 0 b
0 b c c 0 b
b 0 b b b b
b 0 a a b b
b b b b b 0
b b a a b 0
0 a 0 0 0 a
0 a c c 0 a
0 c 0 0 0 c
0 c c c 0 c
b a b b b c
b a a a b c
b c b b b a
b c a a b a
a 0 a a a a
a 0 b b a a
a b a a a c
a b b b a c
c 0 c c c c
c 0 0 0 c c
c b c c c a
c b 0 0 c a
a a a a a 0
a a b b a 0
a c a a a b
a c b b a b
c a c c c b
c a 0 0 c b
c c c c c 0
c c 0 0 c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 2x3 + 5x4 + 10x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)1 (X_b)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_b)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_a)1 (X_b)4 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)1 (X_b)4 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)3 (X_b)2 + (X_a)4 (X_b)1 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_a)1 (X_b)1 (X_c)4 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)5 + (X_0)1 (X_a)3 (X_b)2 + (X_a)4 (X_b)1 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)1 (X_b)1 (X_c)4 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1486

a 0 a a a a
0 a 0 0 0 a
b 0 b b b b
0 b 0 0 0 b
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b 0 0 0 b
0 b c c 0 a
b 0 b b b b
b 0 a a b a
b b b b b 0
b b a a b c
0 a 0 0 0 a
0 a c c 0 b
0 c 0 0 0 c
0 c c c 0 0
b a b b b c
b a a a b 0
b c b b b a
b c a a b b
a 0 a a a a
a 0 b b a b
a b a a a c
a b b b a 0
c 0 c c c c
c 0 0 0 c 0
c b c c c a
c b 0 0 c b
a a a a a 0
a a b b a c
a c a a a b
a c b b a a
c a c c c b
c a 0 0 c a
c c c c c 0
c c 0 0 c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 2x3 + 5x4 + 10x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_b)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_b)5 + (X_a)2 (X_b)3 (X_c)1 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_a)1 (X_b)4 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_a)1 (X_b)4 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)2 (X_b)3 + (X_a)4 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2 + (X_a)1 (X_b)1 (X_c)4 + (X_0)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)5 + (X_a)3 (X_b)2 (X_c)1 + (X_a)4 (X_b)1 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)1 (X_b)1 (X_c)4 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1487

a 0 a a a a
0 a 0 0 0 a
b 0 b b b b
0 b 0 0 0 b
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b 0 0 0 b
0 b c c c b
b 0 b b b b
b 0 a a a b
b b b b b 0
b b a a a 0
0 a 0 0 0 a
0 a c c c a
0 c 0 0 0 c
0 c c c c c
b a b b b c
b a a a a c
b c b b b a
b c a a a a
a 0 a a a a
a 0 b b b a
a b a a a c
a b b b b c
c 0 c c c c
c 0 0 0 0 c
c b c c c a
c b 0 0 0 a
a a a a a 0
a a b b b 0
a c a a a b
a c b b b b
c a c c c b
c a 0 0 0 b
c c c c c 0
c c 0 0 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 5x2 + 3x3 + 0x4 + 13x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)4 (X_b)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)1 (X_b)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_b)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)4 (X_a)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5 + (X_a)1 (X_b)4 (X_c)1 + (X_a)4 (X_b)1 (X_c)1 + (X_a)1 (X_b)4 (X_c)1 + (X_a)4 (X_b)1 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)2 (X_b)3 + (X_a)4 (X_b)1 (X_c)1 + (X_a)1 (X_b)4 (X_c)1 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2 + (X_a)1 (X_b)1 (X_c)4 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)2 (X_b)3 + (X_a)4 (X_b)1 (X_c)1 + (X_a)1 (X_b)4 (X_c)1 + (X_a)1 (X_b)1 (X_c)4 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1488

a 0 a a a a
0 a 0 0 0 a
b 0 b b b b
0 b 0 0 0 b
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b 0 0 0 b
0 b c c c a
b 0 b b b b
b 0 a a a a
b b b b b 0
b b a a a c
0 a 0 0 0 a
0 a c c c b
0 c 0 0 0 c
0 c c c c 0
b a b b b c
b a a a a 0
b c b b b a
b c a a a b
a 0 a a a a
a 0 b b b b
a b a a a c
a b b b b 0
c 0 c c c c
c 0 0 0 0 0
c b c c c a
c b 0 0 0 b
a a a a a 0
a a b b b c
a c a a a b
a c b b b a
c a c c c b
c a 0 0 0 a
c c c c c 0
c c 0 0 0 c

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 3x2 + 3x3 + 2x4 + 12x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)4 (X_b)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_b)5 + (X_0)1 (X_a)4 (X_b)1 + (X_0)1 (X_b)5 + (X_a)3 (X_b)2 (X_c)1 + (X_0)4 (X_a)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_a)1 (X_b)4 (X_c)1 + (X_0)1 (X_a)4 (X_b)1 + (X_a)1 (X_b)4 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)1 (X_b)4 + (X_a)4 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)4 + (X_0)1 (X_c)5 + (X_0)5 (X_c)1 + (X_a)1 (X_b)1 (X_c)4 + (X_0)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)5 + (X_a)2 (X_b)3 (X_c)1 + (X_a)4 (X_b)1 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)1 (X_b)1 (X_c)4 + (X_0)3 (X_a)2 (X_c)1 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1489

a 0 a a a a
0 a 0 0 a 0
b 0 b b b b
0 b 0 0 b 0
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b 0 0 b 0
0 b c 0 b 0
b 0 b b b b
b 0 a b b b
b b b b 0 b
b b a b 0 b
0 a 0 0 a 0
0 a c 0 a 0
0 c 0 0 c 0
0 c c 0 c 0
b a b b c b
b a a b c b
b c b b a b
b c a b a b
a 0 a a a a
a 0 b a a a
a b a a c a
a b b a c a
c 0 c c c c
c 0 0 c c c
c b c c a c
c b 0 c a c
a a a a 0 a
a a b a 0 a
a c a a b a
a c b a b a
c a c c b c
c a 0 c b c
c c c c 0 c
c c 0 c 0 c

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 3x2 + 3x3 + 2x4 + 12x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)4 (X_b)2 + (X_0)3 (X_b)2 (X_c)1 + (X_0)1 (X_b)5 + (X_0)1 (X_a)1 (X_b)4 + (X_0)1 (X_b)5 + (X_0)1 (X_a)1 (X_b)4 + (X_0)4 (X_a)2 + (X_0)3 (X_a)2 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_a)1 (X_b)4 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)1 (X_b)4 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)4 (X_b)1 + (X_a)4 (X_b)1 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_a)1 (X_b)1 (X_c)4 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)5 + (X_0)1 (X_a)4 (X_b)1 + (X_a)4 (X_b)1 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)1 (X_b)1 (X_c)4 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1490

a 0 a a a a
0 a 0 0 a 0
b 0 b b b b
0 b 0 0 b 0
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b 0 0 b 0
0 b c 0 b c
b 0 b b b b
b 0 a b b a
b b b b 0 b
b b a b 0 a
0 a 0 0 a 0
0 a c 0 a c
0 c 0 0 c 0
0 c c 0 c c
b a b b c b
b a a b c a
b c b b a b
b c a b a a
a 0 a a a a
a 0 b a a b
a b a a c a
a b b a c b
c 0 c c c c
c 0 0 c c 0
c b c c a c
c b 0 c a 0
a a a a 0 a
a a b a 0 b
a c a a b a
a c b a b b
c a c c b c
c a 0 c b 0
c c c c 0 c
c c 0 c 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 2x3 + 5x4 + 10x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)1 (X_b)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_b)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_a)1 (X_b)4 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)1 (X_b)4 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)3 (X_b)2 + (X_a)4 (X_b)1 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_a)1 (X_b)1 (X_c)4 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)5 + (X_0)1 (X_a)3 (X_b)2 + (X_a)4 (X_b)1 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)1 (X_b)1 (X_c)4 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1491

a 0 a a a a
0 a 0 0 a 0
b 0 b b b b
0 b 0 0 b 0
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b 0 0 b 0
0 b c 0 a 0
b 0 b b b b
b 0 a b a b
b b b b 0 b
b b a b c b
0 a 0 0 a 0
0 a c 0 b 0
0 c 0 0 c 0
0 c c 0 0 0
b a b b c b
b a a b 0 b
b c b b a b
b c a b b b
a 0 a a a a
a 0 b a b a
a b a a c a
a b b a 0 a
c 0 c c c c
c 0 0 c 0 c
c b c c a c
c b 0 c b c
a a a a 0 a
a a b a c a
a c a a b a
a c b a a a
c a c c b c
c a 0 c a c
c c c c 0 c
c c 0 c c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 5x2 + 3x3 + 0x4 + 13x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_b)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_b)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_b)5 + (X_a)1 (X_b)4 (X_c)1 + (X_0)4 (X_a)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_a)1 (X_b)4 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_a)1 (X_b)4 (X_c)1 + (X_a)1 (X_b)4 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)3 (X_b)2 + (X_a)4 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_a)1 (X_b)1 (X_c)4 + (X_0)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)5 + (X_a)4 (X_b)1 (X_c)1 + (X_a)4 (X_b)1 (X_c)1 + (X_a)4 (X_b)1 (X_c)1 + (X_a)1 (X_b)1 (X_c)4 + (X_0)1 (X_a)2 (X_c)3 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1492

a 0 a a a a
0 a 0 0 a 0
b 0 b b b b
0 b 0 0 b 0
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b 0 0 b 0
0 b c 0 a c
b 0 b b b b
b 0 a b a a
b b b b 0 b
b b a b c a
0 a 0 0 a 0
0 a c 0 b c
0 c 0 0 c 0
0 c c 0 0 c
b a b b c b
b a a b 0 a
b c b b a b
b c a b b a
a 0 a a a a
a 0 b a b b
a b a a c a
a b b a 0 b
c 0 c c c c
c 0 0 c 0 0
c b c c a c
c b 0 c b 0
a a a a 0 a
a a b a c b
a c a a b a
a c b a a b
c a c c b c
c a 0 c a 0
c c c c 0 c
c c 0 c c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 2x3 + 5x4 + 10x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_b)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_b)5 + (X_a)2 (X_b)3 (X_c)1 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_a)1 (X_b)4 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_a)1 (X_b)4 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)2 (X_b)3 + (X_a)4 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2 + (X_a)1 (X_b)1 (X_c)4 + (X_0)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)5 + (X_a)3 (X_b)2 (X_c)1 + (X_a)4 (X_b)1 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)1 (X_b)1 (X_c)4 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1493

a 0 a a a a
0 a 0 0 a 0
b 0 b b b b
0 b 0 0 b 0
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b 0 0 b 0
0 b c c b 0
b 0 b b b b
b 0 a a b b
b b b b 0 b
b b a a 0 b
0 a 0 0 a 0
0 a c c a 0
0 c 0 0 c 0
0 c c c c 0
b a b b c b
b a a a c b
b c b b a b
b c a a a b
a 0 a a a a
a 0 b b a a
a b a a c a
a b b b c a
c 0 c c c c
c 0 0 0 c c
c b c c a c
c b 0 0 a c
a a a a 0 a
a a b b 0 a
a c a a b a
a c b b b a
c a c c b c
c a 0 0 b c
c c c c 0 c
c c 0 0 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 2x3 + 5x4 + 10x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)1 (X_b)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_b)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_a)1 (X_b)4 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)1 (X_b)4 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)3 (X_b)2 + (X_a)4 (X_b)1 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_a)1 (X_b)1 (X_c)4 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)5 + (X_0)1 (X_a)3 (X_b)2 + (X_a)4 (X_b)1 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)1 (X_b)1 (X_c)4 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1494

a 0 a a a a
0 a 0 0 a 0
b 0 b b b b
0 b 0 0 b 0
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b 0 0 b 0
0 b c c b c
b 0 b b b b
b 0 a a b a
b b b b 0 b
b b a a 0 a
0 a 0 0 a 0
0 a c c a c
0 c 0 0 c 0
0 c c c c c
b a b b c b
b a a a c a
b c b b a b
b c a a a a
a 0 a a a a
a 0 b b a b
a b a a c a
a b b b c b
c 0 c c c c
c 0 0 0 c 0
c b c c a c
c b 0 0 a 0
a a a a 0 a
a a b b 0 b
a c a a b a
a c b b b b
c a c c b c
c a 0 0 b 0
c c c c 0 c
c c 0 0 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 5x2 + 3x3 + 0x4 + 13x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)4 (X_b)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)1 (X_b)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_b)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)4 (X_a)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5 + (X_a)1 (X_b)4 (X_c)1 + (X_a)4 (X_b)1 (X_c)1 + (X_a)1 (X_b)4 (X_c)1 + (X_a)4 (X_b)1 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)2 (X_b)3 + (X_a)4 (X_b)1 (X_c)1 + (X_a)1 (X_b)4 (X_c)1 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2 + (X_a)1 (X_b)1 (X_c)4 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)2 (X_b)3 + (X_a)4 (X_b)1 (X_c)1 + (X_a)1 (X_b)4 (X_c)1 + (X_a)1 (X_b)1 (X_c)4 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1495

a 0 a a a a
0 a 0 0 a 0
b 0 b b b b
0 b 0 0 b 0
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b 0 0 b 0
0 b c c a 0
b 0 b b b b
b 0 a a a b
b b b b 0 b
b b a a c b
0 a 0 0 a 0
0 a c c b 0
0 c 0 0 c 0
0 c c c 0 0
b a b b c b
b a a a 0 b
b c b b a b
b c a a b b
a 0 a a a a
a 0 b b b a
a b a a c a
a b b b 0 a
c 0 c c c c
c 0 0 0 0 c
c b c c a c
c b 0 0 b c
a a a a 0 a
a a b b c a
a c a a b a
a c b b a a
c a c c b c
c a 0 0 a c
c c c c 0 c
c c 0 0 c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 2x3 + 5x4 + 10x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_b)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_b)5 + (X_a)2 (X_b)3 (X_c)1 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_a)1 (X_b)4 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_a)1 (X_b)4 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)2 (X_b)3 + (X_a)4 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2 + (X_a)1 (X_b)1 (X_c)4 + (X_0)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)5 + (X_a)3 (X_b)2 (X_c)1 + (X_a)4 (X_b)1 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)1 (X_b)1 (X_c)4 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1496

a 0 a a a a
0 a 0 0 a 0
b 0 b b b b
0 b 0 0 b 0
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b 0 0 b 0
0 b c c a c
b 0 b b b b
b 0 a a a a
b b b b 0 b
b b a a c a
0 a 0 0 a 0
0 a c c b c
0 c 0 0 c 0
0 c c c 0 c
b a b b c b
b a a a 0 a
b c b b a b
b c a a b a
a 0 a a a a
a 0 b b b b
a b a a c a
a b b b 0 b
c 0 c c c c
c 0 0 0 0 0
c b c c a c
c b 0 0 b 0
a a a a 0 a
a a b b c b
a c a a b a
a c b b a b
c a c c b c
c a 0 0 a 0
c c c c 0 c
c c 0 0 c 0

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 3x2 + 3x3 + 2x4 + 12x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)4 (X_b)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_b)5 + (X_0)1 (X_a)4 (X_b)1 + (X_0)1 (X_b)5 + (X_a)3 (X_b)2 (X_c)1 + (X_0)4 (X_a)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_a)1 (X_b)4 (X_c)1 + (X_0)1 (X_a)4 (X_b)1 + (X_a)1 (X_b)4 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)1 (X_b)4 + (X_a)4 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)4 + (X_0)1 (X_c)5 + (X_0)5 (X_c)1 + (X_a)1 (X_b)1 (X_c)4 + (X_0)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)5 + (X_a)2 (X_b)3 (X_c)1 + (X_a)4 (X_b)1 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)1 (X_b)1 (X_c)4 + (X_0)3 (X_a)2 (X_c)1 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1497

a 0 a a a a
0 a 0 0 a a
b 0 b b b b
0 b 0 0 b b
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b 0 0 b b
0 b c 0 b b
b 0 b b b b
b 0 a b b b
b b b b 0 0
b b a b 0 0
0 a 0 0 a a
0 a c 0 a a
0 c 0 0 c c
0 c c 0 c c
b a b b c c
b a a b c c
b c b b a a
b c a b a a
a 0 a a a a
a 0 b a a a
a b a a c c
a b b a c c
c 0 c c c c
c 0 0 c c c
c b c c a a
c b 0 c a a
a a a a 0 0
a a b a 0 0
a c a a b b
a c b a b b
c a c c b b
c a 0 c b b
c c c c 0 0
c c 0 c 0 0

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 0x2 + 4x3 + 9x4 + 7x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_b)3 (X_c)1 + (X_0)1 (X_b)5 + (X_0)1 (X_a)1 (X_b)4 + (X_0)2 (X_b)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)3 (X_a)3 + (X_0)2 (X_a)3 (X_c)1 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_a)1 (X_b)3 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_a)2 (X_b)3 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)4 (X_b)1 + (X_a)3 (X_b)1 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)4 + (X_0)2 (X_a)3 (X_b)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1498

a 0 a a a a
0 a 0 0 a a
b 0 b b b b
0 b 0 0 b b
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b 0 0 b b
0 b c 0 b a
b 0 b b b b
b 0 a b b a
b b b b 0 0
b b a b 0 c
0 a 0 0 a a
0 a c 0 a b
0 c 0 0 c c
0 c c 0 c 0
b a b b c c
b a a b c 0
b c b b a a
b c a b a b
a 0 a a a a
a 0 b a a b
a b a a c c
a b b a c 0
c 0 c c c c
c 0 0 c c 0
c b c c a a
c b 0 c a b
a a a a 0 0
a a b a 0 c
a c a a b b
a c b a b a
c a c c b b
c a 0 c b a
c c c c 0 0
c c 0 c 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 5x3 + 6x4 + 11x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_b)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)3 (X_b)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1499

a 0 a a a a
0 a 0 0 a a
b 0 b b b b
0 b 0 0 b b
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b 0 0 b b
0 b c 0 a b
b 0 b b b b
b 0 a b a b
b b b b 0 0
b b a b c 0
0 a 0 0 a a
0 a c 0 b a
0 c 0 0 c c
0 c c 0 0 c
b a b b c c
b a a b 0 c
b c b b a a
b c a b b a
a 0 a a a a
a 0 b a b a
a b a a c c
a b b a 0 c
c 0 c c c c
c 0 0 c 0 c
c b c c a a
c b 0 c b a
a a a a 0 0
a a b a c 0
a c a a b b
a c b a a b
c a c c b b
c a 0 c a b
c c c c 0 0
c c 0 c c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 5x3 + 6x4 + 11x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_b)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)3 (X_b)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1500

a 0 a a a a
0 a 0 0 a a
b 0 b b b b
0 b 0 0 b b
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b 0 0 b b
0 b c 0 a a
b 0 b b b b
b 0 a b a a
b b b b 0 0
b b a b c c
0 a 0 0 a a
0 a c 0 b b
0 c 0 0 c c
0 c c 0 0 0
b a b b c c
b a a b 0 0
b c b b a a
b c a b b b
a 0 a a a a
a 0 b a b b
a b a a c c
a b b a 0 0
c 0 c c c c
c 0 0 c 0 0
c b c c a a
c b 0 c b b
a a a a 0 0
a a b a c c
a c a a b b
a c b a a a
c a c c b b
c a 0 c a a
c c c c 0 0
c c 0 c c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 2x2 + 4x3 + 7x4 + 8x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_b)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)2 (X_b)4 + (X_a)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_a)2 (X_b)3 (X_c)1 + (X_a)1 (X_b)4 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)2 (X_b)3 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)4 + (X_a)3 (X_b)1 (X_c)2 + (X_a)3 (X_b)2 (X_c)1 + (X_a)4 (X_b)1 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1501

a 0 a a a a
0 a 0 0 a a
b 0 b b b b
0 b 0 0 b b
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b 0 0 b b
0 b c c b b
b 0 b b b b
b 0 a a b b
b b b b 0 0
b b a a 0 0
0 a 0 0 a a
0 a c c a a
0 c 0 0 c c
0 c c c c c
b a b b c c
b a a a c c
b c b b a a
b c a a a a
a 0 a a a a
a 0 b b a a
a b a a c c
a b b b c c
c 0 c c c c
c 0 0 0 c c
c b c c a a
c b 0 0 a a
a a a a 0 0
a a b b 0 0
a c a a b b
a c b b b b
c a c c b b
c a 0 0 b b
c c c c 0 0
c c 0 0 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 2x2 + 4x3 + 7x4 + 8x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)1 (X_b)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_a)1 (X_b)3 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_a)2 (X_b)3 (X_c)1 + (X_a)4 (X_b)1 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)3 (X_b)2 + (X_a)3 (X_b)1 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_a)3 (X_b)2 (X_c)1 + (X_a)1 (X_b)4 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1502

a 0 a a a a
0 a 0 0 a a
b 0 b b b b
0 b 0 0 b b
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b 0 0 b b
0 b c c b a
b 0 b b b b
b 0 a a b a
b b b b 0 0
b b a a 0 c
0 a 0 0 a a
0 a c c a b
0 c 0 0 c c
0 c c c c 0
b a b b c c
b a a a c 0
b c b b a a
b c a a a b
a 0 a a a a
a 0 b b a b
a b a a c c
a b b b c 0
c 0 c c c c
c 0 0 0 c 0
c b c c a a
c b 0 0 a b
a a a a 0 0
a a b b 0 c
a c a a b b
a c b b b a
c a c c b b
c a 0 0 b a
c c c c 0 0
c c 0 0 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 5x3 + 6x4 + 11x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_b)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)2 (X_b)3 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1503

a 0 a a a a
0 a 0 0 a a
b 0 b b b b
0 b 0 0 b b
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b 0 0 b b
0 b c c a b
b 0 b b b b
b 0 a a a b
b b b b 0 0
b b a a c 0
0 a 0 0 a a
0 a c c b a
0 c 0 0 c c
0 c c c 0 c
b a b b c c
b a a a 0 c
b c b b a a
b c a a b a
a 0 a a a a
a 0 b b b a
a b a a c c
a b b b 0 c
c 0 c c c c
c 0 0 0 0 c
c b c c a a
c b 0 0 b a
a a a a 0 0
a a b b c 0
a c a a b b
a c b b a b
c a c c b b
c a 0 0 a b
c c c c 0 0
c c 0 0 c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 5x3 + 6x4 + 11x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_b)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)2 (X_b)3 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1504

a 0 a a a a
0 a 0 0 a a
b 0 b b b b
0 b 0 0 b b
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b 0 0 b b
0 b c c a a
b 0 b b b b
b 0 a a a a
b b b b 0 0
b b a a c c
0 a 0 0 a a
0 a c c b b
0 c 0 0 c c
0 c c c 0 0
b a b b c c
b a a a 0 0
b c b b a a
b c a a b b
a 0 a a a a
a 0 b b b b
a b a a c c
a b b b 0 0
c 0 c c c c
c 0 0 0 0 0
c b c c a a
c b 0 0 b b
a a a a 0 0
a a b b c c
a c a a b b
a c b b a a
c a c c b b
c a 0 0 a a
c c c c 0 0
c c 0 0 c c

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 0x2 + 4x3 + 9x4 + 7x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)3 (X_b)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_b)5 + (X_0)1 (X_a)4 (X_b)1 + (X_0)2 (X_b)4 + (X_a)2 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)3 (X_b)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)1 (X_b)4 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_c)5 + (X_0)5 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_a)2 (X_b)2 (X_c)2 + (X_a)3 (X_b)2 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)3 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1505

a 0 a a a a
0 a 0 a 0 0
b 0 b b b b
0 b 0 b 0 0
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b 0 b 0 0
0 b c b 0 0
b 0 b b b b
b 0 a b b b
b b b 0 b b
b b a 0 b b
0 a 0 a 0 0
0 a c a 0 0
0 c 0 c 0 0
0 c c c 0 0
b a b c b b
b a a c b b
b c b a b b
b c a a b b
a 0 a a a a
a 0 b a a a
a b a c a a
a b b c a a
c 0 c c c c
c 0 0 c c c
c b c a c c
c b 0 a c c
a a a 0 a a
a a b 0 a a
a c a b a a
a c b b a a
c a c b c c
c a 0 b c c
c c c 0 c c
c c 0 0 c c

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 3x2 + 3x3 + 2x4 + 12x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)4 (X_b)2 + (X_0)3 (X_b)2 (X_c)1 + (X_0)1 (X_b)5 + (X_0)1 (X_a)1 (X_b)4 + (X_0)1 (X_b)5 + (X_0)1 (X_a)1 (X_b)4 + (X_0)4 (X_a)2 + (X_0)3 (X_a)2 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_a)1 (X_b)4 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)1 (X_b)4 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)4 (X_b)1 + (X_a)4 (X_b)1 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_a)1 (X_b)1 (X_c)4 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)5 + (X_0)1 (X_a)4 (X_b)1 + (X_a)4 (X_b)1 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)1 (X_b)1 (X_c)4 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1506

a 0 a a a a
0 a 0 a 0 0
b 0 b b b b
0 b 0 b 0 0
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b 0 b 0 0
0 b c b 0 c
b 0 b b b b
b 0 a b b a
b b b 0 b b
b b a 0 b a
0 a 0 a 0 0
0 a c a 0 c
0 c 0 c 0 0
0 c c c 0 c
b a b c b b
b a a c b a
b c b a b b
b c a a b a
a 0 a a a a
a 0 b a a b
a b a c a a
a b b c a b
c 0 c c c c
c 0 0 c c 0
c b c a c c
c b 0 a c 0
a a a 0 a a
a a b 0 a b
a c a b a a
a c b b a b
c a c b c c
c a 0 b c 0
c c c 0 c c
c c 0 0 c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 2x3 + 5x4 + 10x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)1 (X_b)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_b)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_a)1 (X_b)4 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)1 (X_b)4 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)3 (X_b)2 + (X_a)4 (X_b)1 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_a)1 (X_b)1 (X_c)4 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)5 + (X_0)1 (X_a)3 (X_b)2 + (X_a)4 (X_b)1 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)1 (X_b)1 (X_c)4 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1507

a 0 a a a a
0 a 0 a 0 0
b 0 b b b b
0 b 0 b 0 0
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b 0 b 0 0
0 b c b c 0
b 0 b b b b
b 0 a b a b
b b b 0 b b
b b a 0 a b
0 a 0 a 0 0
0 a c a c 0
0 c 0 c 0 0
0 c c c c 0
b a b c b b
b a a c a b
b c b a b b
b c a a a b
a 0 a a a a
a 0 b a b a
a b a c a a
a b b c b a
c 0 c c c c
c 0 0 c 0 c
c b c a c c
c b 0 a 0 c
a a a 0 a a
a a b 0 b a
a c a b a a
a c b b b a
c a c b c c
c a 0 b 0 c
c c c 0 c c
c c 0 0 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 2x3 + 5x4 + 10x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)1 (X_b)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_b)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_a)1 (X_b)4 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)1 (X_b)4 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)3 (X_b)2 + (X_a)4 (X_b)1 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_a)1 (X_b)1 (X_c)4 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)5 + (X_0)1 (X_a)3 (X_b)2 + (X_a)4 (X_b)1 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)1 (X_b)1 (X_c)4 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1508

a 0 a a a a
0 a 0 a 0 0
b 0 b b b b
0 b 0 b 0 0
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b 0 b 0 0
0 b c b c c
b 0 b b b b
b 0 a b a a
b b b 0 b b
b b a 0 a a
0 a 0 a 0 0
0 a c a c c
0 c 0 c 0 0
0 c c c c c
b a b c b b
b a a c a a
b c b a b b
b c a a a a
a 0 a a a a
a 0 b a b b
a b a c a a
a b b c b b
c 0 c c c c
c 0 0 c 0 0
c b c a c c
c b 0 a 0 0
a a a 0 a a
a a b 0 b b
a c a b a a
a c b b b b
c a c b c c
c a 0 b 0 0
c c c 0 c c
c c 0 0 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 5x2 + 3x3 + 0x4 + 13x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)4 (X_b)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)1 (X_b)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_b)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)4 (X_a)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5 + (X_a)1 (X_b)4 (X_c)1 + (X_a)4 (X_b)1 (X_c)1 + (X_a)1 (X_b)4 (X_c)1 + (X_a)4 (X_b)1 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)2 (X_b)3 + (X_a)4 (X_b)1 (X_c)1 + (X_a)1 (X_b)4 (X_c)1 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2 + (X_a)1 (X_b)1 (X_c)4 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)2 (X_b)3 + (X_a)4 (X_b)1 (X_c)1 + (X_a)1 (X_b)4 (X_c)1 + (X_a)1 (X_b)1 (X_c)4 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1509

a 0 a a a a
0 a 0 a 0 0
b 0 b b b b
0 b 0 b 0 0
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b 0 b 0 0
0 b c a 0 0
b 0 b b b b
b 0 a a b b
b b b 0 b b
b b a c b b
0 a 0 a 0 0
0 a c b 0 0
0 c 0 c 0 0
0 c c 0 0 0
b a b c b b
b a a 0 b b
b c b a b b
b c a b b b
a 0 a a a a
a 0 b b a a
a b a c a a
a b b 0 a a
c 0 c c c c
c 0 0 0 c c
c b c a c c
c b 0 b c c
a a a 0 a a
a a b c a a
a c a b a a
a c b a a a
c a c b c c
c a 0 a c c
c c c 0 c c
c c 0 c c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 5x2 + 3x3 + 0x4 + 13x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_b)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_b)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_b)5 + (X_a)1 (X_b)4 (X_c)1 + (X_0)4 (X_a)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_a)1 (X_b)4 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_a)1 (X_b)4 (X_c)1 + (X_a)1 (X_b)4 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)3 (X_b)2 + (X_a)4 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_a)1 (X_b)1 (X_c)4 + (X_0)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)5 + (X_a)4 (X_b)1 (X_c)1 + (X_a)4 (X_b)1 (X_c)1 + (X_a)4 (X_b)1 (X_c)1 + (X_a)1 (X_b)1 (X_c)4 + (X_0)1 (X_a)2 (X_c)3 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1510

a 0 a a a a
0 a 0 a 0 0
b 0 b b b b
0 b 0 b 0 0
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b 0 b 0 0
0 b c a 0 c
b 0 b b b b
b 0 a a b a
b b b 0 b b
b b a c b a
0 a 0 a 0 0
0 a c b 0 c
0 c 0 c 0 0
0 c c 0 0 c
b a b c b b
b a a 0 b a
b c b a b b
b c a b b a
a 0 a a a a
a 0 b b a b
a b a c a a
a b b 0 a b
c 0 c c c c
c 0 0 0 c 0
c b c a c c
c b 0 b c 0
a a a 0 a a
a a b c a b
a c a b a a
a c b a a b
c a c b c c
c a 0 a c 0
c c c 0 c c
c c 0 c c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 2x3 + 5x4 + 10x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_b)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_b)5 + (X_a)2 (X_b)3 (X_c)1 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_a)1 (X_b)4 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_a)1 (X_b)4 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)2 (X_b)3 + (X_a)4 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2 + (X_a)1 (X_b)1 (X_c)4 + (X_0)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)5 + (X_a)3 (X_b)2 (X_c)1 + (X_a)4 (X_b)1 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)1 (X_b)1 (X_c)4 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1511

a 0 a a a a
0 a 0 a 0 0
b 0 b b b b
0 b 0 b 0 0
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b 0 b 0 0
0 b c a c 0
b 0 b b b b
b 0 a a a b
b b b 0 b b
b b a c a b
0 a 0 a 0 0
0 a c b c 0
0 c 0 c 0 0
0 c c 0 c 0
b a b c b b
b a a 0 a b
b c b a b b
b c a b a b
a 0 a a a a
a 0 b b b a
a b a c a a
a b b 0 b a
c 0 c c c c
c 0 0 0 0 c
c b c a c c
c b 0 b 0 c
a a a 0 a a
a a b c b a
a c a b a a
a c b a b a
c a c b c c
c a 0 a 0 c
c c c 0 c c
c c 0 c 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 2x3 + 5x4 + 10x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_b)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_b)5 + (X_a)2 (X_b)3 (X_c)1 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_a)1 (X_b)4 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_a)1 (X_b)4 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)2 (X_b)3 + (X_a)4 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2 + (X_a)1 (X_b)1 (X_c)4 + (X_0)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)5 + (X_a)3 (X_b)2 (X_c)1 + (X_a)4 (X_b)1 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)1 (X_b)1 (X_c)4 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1512

a 0 a a a a
0 a 0 a 0 0
b 0 b b b b
0 b 0 b 0 0
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b 0 b 0 0
0 b c a c c
b 0 b b b b
b 0 a a a a
b b b 0 b b
b b a c a a
0 a 0 a 0 0
0 a c b c c
0 c 0 c 0 0
0 c c 0 c c
b a b c b b
b a a 0 a a
b c b a b b
b c a b a a
a 0 a a a a
a 0 b b b b
a b a c a a
a b b 0 b b
c 0 c c c c
c 0 0 0 0 0
c b c a c c
c b 0 b 0 0
a a a 0 a a
a a b c b b
a c a b a a
a c b a b b
c a c b c c
c a 0 a 0 0
c c c 0 c c
c c 0 c 0 0

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 3x2 + 3x3 + 2x4 + 12x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)4 (X_b)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_b)5 + (X_0)1 (X_a)4 (X_b)1 + (X_0)1 (X_b)5 + (X_a)3 (X_b)2 (X_c)1 + (X_0)4 (X_a)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_a)1 (X_b)4 (X_c)1 + (X_0)1 (X_a)4 (X_b)1 + (X_a)1 (X_b)4 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)1 (X_b)4 + (X_a)4 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)4 + (X_0)1 (X_c)5 + (X_0)5 (X_c)1 + (X_a)1 (X_b)1 (X_c)4 + (X_0)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)5 + (X_a)2 (X_b)3 (X_c)1 + (X_a)4 (X_b)1 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)1 (X_b)1 (X_c)4 + (X_0)3 (X_a)2 (X_c)1 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1513

a 0 a a a a
0 a 0 a 0 a
b 0 b b b b
0 b 0 b 0 b
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b 0 b 0 b
0 b c b 0 b
b 0 b b b b
b 0 a b b b
b b b 0 b 0
b b a 0 b 0
0 a 0 a 0 a
0 a c a 0 a
0 c 0 c 0 c
0 c c c 0 c
b a b c b c
b a a c b c
b c b a b a
b c a a b a
a 0 a a a a
a 0 b a a a
a b a c a c
a b b c a c
c 0 c c c c
c 0 0 c c c
c b c a c a
c b 0 a c a
a a a 0 a 0
a a b 0 a 0
a c a b a b
a c b b a b
c a c b c b
c a 0 b c b
c c c 0 c 0
c c 0 0 c 0

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 0x2 + 4x3 + 9x4 + 7x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_b)3 (X_c)1 + (X_0)1 (X_b)5 + (X_0)1 (X_a)1 (X_b)4 + (X_0)2 (X_b)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)3 (X_a)3 + (X_0)2 (X_a)3 (X_c)1 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_a)1 (X_b)3 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_a)2 (X_b)3 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)4 (X_b)1 + (X_a)3 (X_b)1 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)4 + (X_0)2 (X_a)3 (X_b)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1514

a 0 a a a a
0 a 0 a 0 a
b 0 b b b b
0 b 0 b 0 b
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b 0 b 0 b
0 b c b 0 a
b 0 b b b b
b 0 a b b a
b b b 0 b 0
b b a 0 b c
0 a 0 a 0 a
0 a c a 0 b
0 c 0 c 0 c
0 c c c 0 0
b a b c b c
b a a c b 0
b c b a b a
b c a a b b
a 0 a a a a
a 0 b a a b
a b a c a c
a b b c a 0
c 0 c c c c
c 0 0 c c 0
c b c a c a
c b 0 a c b
a a a 0 a 0
a a b 0 a c
a c a b a b
a c b b a a
c a c b c b
c a 0 b c a
c c c 0 c 0
c c 0 0 c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 5x3 + 6x4 + 11x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_b)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)3 (X_b)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1515

a 0 a a a a
0 a 0 a 0 a
b 0 b b b b
0 b 0 b 0 b
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b 0 b 0 b
0 b c b c b
b 0 b b b b
b 0 a b a b
b b b 0 b 0
b b a 0 a 0
0 a 0 a 0 a
0 a c a c a
0 c 0 c 0 c
0 c c c c c
b a b c b c
b a a c a c
b c b a b a
b c a a a a
a 0 a a a a
a 0 b a b a
a b a c a c
a b b c b c
c 0 c c c c
c 0 0 c 0 c
c b c a c a
c b 0 a 0 a
a a a 0 a 0
a a b 0 b 0
a c a b a b
a c b b b b
c a c b c b
c a 0 b 0 b
c c c 0 c 0
c c 0 0 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 2x2 + 4x3 + 7x4 + 8x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)1 (X_b)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_a)1 (X_b)3 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_a)2 (X_b)3 (X_c)1 + (X_a)4 (X_b)1 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)3 (X_b)2 + (X_a)3 (X_b)1 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_a)3 (X_b)2 (X_c)1 + (X_a)1 (X_b)4 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1516

a 0 a a a a
0 a 0 a 0 a
b 0 b b b b
0 b 0 b 0 b
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b 0 b 0 b
0 b c b c a
b 0 b b b b
b 0 a b a a
b b b 0 b 0
b b a 0 a c
0 a 0 a 0 a
0 a c a c b
0 c 0 c 0 c
0 c c c c 0
b a b c b c
b a a c a 0
b c b a b a
b c a a a b
a 0 a a a a
a 0 b a b b
a b a c a c
a b b c b 0
c 0 c c c c
c 0 0 c 0 0
c b c a c a
c b 0 a 0 b
a a a 0 a 0
a a b 0 b c
a c a b a b
a c b b b a
c a c b c b
c a 0 b 0 a
c c c 0 c 0
c c 0 0 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 5x3 + 6x4 + 11x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_b)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)2 (X_b)3 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1517

a 0 a a a a
0 a 0 a 0 a
b 0 b b b b
0 b 0 b 0 b
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b 0 b 0 b
0 b c a 0 b
b 0 b b b b
b 0 a a b b
b b b 0 b 0
b b a c b 0
0 a 0 a 0 a
0 a c b 0 a
0 c 0 c 0 c
0 c c 0 0 c
b a b c b c
b a a 0 b c
b c b a b a
b c a b b a
a 0 a a a a
a 0 b b a a
a b a c a c
a b b 0 a c
c 0 c c c c
c 0 0 0 c c
c b c a c a
c b 0 b c a
a a a 0 a 0
a a b c a 0
a c a b a b
a c b a a b
c a c b c b
c a 0 a c b
c c c 0 c 0
c c 0 c c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 5x3 + 6x4 + 11x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_b)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)3 (X_b)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1518

a 0 a a a a
0 a 0 a 0 a
b 0 b b b b
0 b 0 b 0 b
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b 0 b 0 b
0 b c a 0 a
b 0 b b b b
b 0 a a b a
b b b 0 b 0
b b a c b c
0 a 0 a 0 a
0 a c b 0 b
0 c 0 c 0 c
0 c c 0 0 0
b a b c b c
b a a 0 b 0
b c b a b a
b c a b b b
a 0 a a a a
a 0 b b a b
a b a c a c
a b b 0 a 0
c 0 c c c c
c 0 0 0 c 0
c b c a c a
c b 0 b c b
a a a 0 a 0
a a b c a c
a c a b a b
a c b a a a
c a c b c b
c a 0 a c a
c c c 0 c 0
c c 0 c c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 2x2 + 4x3 + 7x4 + 8x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_b)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)2 (X_b)4 + (X_a)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_a)2 (X_b)3 (X_c)1 + (X_a)1 (X_b)4 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)2 (X_b)3 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)4 + (X_a)3 (X_b)1 (X_c)2 + (X_a)3 (X_b)2 (X_c)1 + (X_a)4 (X_b)1 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1519

a 0 a a a a
0 a 0 a 0 a
b 0 b b b b
0 b 0 b 0 b
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b 0 b 0 b
0 b c a c b
b 0 b b b b
b 0 a a a b
b b b 0 b 0
b b a c a 0
0 a 0 a 0 a
0 a c b c a
0 c 0 c 0 c
0 c c 0 c c
b a b c b c
b a a 0 a c
b c b a b a
b c a b a a
a 0 a a a a
a 0 b b b a
a b a c a c
a b b 0 b c
c 0 c c c c
c 0 0 0 0 c
c b c a c a
c b 0 b 0 a
a a a 0 a 0
a a b c b 0
a c a b a b
a c b a b b
c a c b c b
c a 0 a 0 b
c c c 0 c 0
c c 0 c 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 5x3 + 6x4 + 11x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_b)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)2 (X_b)3 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1520

a 0 a a a a
0 a 0 a 0 a
b 0 b b b b
0 b 0 b 0 b
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b 0 b 0 b
0 b c a c a
b 0 b b b b
b 0 a a a a
b b b 0 b 0
b b a c a c
0 a 0 a 0 a
0 a c b c b
0 c 0 c 0 c
0 c c 0 c 0
b a b c b c
b a a 0 a 0
b c b a b a
b c a b a b
a 0 a a a a
a 0 b b b b
a b a c a c
a b b 0 b 0
c 0 c c c c
c 0 0 0 0 0
c b c a c a
c b 0 b 0 b
a a a 0 a 0
a a b c b c
a c a b a b
a c b a b a
c a c b c b
c a 0 a 0 a
c c c 0 c 0
c c 0 c 0 c

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 0x2 + 4x3 + 9x4 + 7x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)3 (X_b)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_b)5 + (X_0)1 (X_a)4 (X_b)1 + (X_0)2 (X_b)4 + (X_a)2 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)3 (X_b)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)1 (X_b)4 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_c)5 + (X_0)5 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_a)2 (X_b)2 (X_c)2 + (X_a)3 (X_b)2 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)3 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1521

a 0 a a a a
0 a 0 a a 0
b 0 b b b b
0 b 0 b b 0
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b 0 b b 0
0 b c b b 0
b 0 b b b b
b 0 a b b b
b b b 0 0 b
b b a 0 0 b
0 a 0 a a 0
0 a c a a 0
0 c 0 c c 0
0 c c c c 0
b a b c c b
b a a c c b
b c b a a b
b c a a a b
a 0 a a a a
a 0 b a a a
a b a c c a
a b b c c a
c 0 c c c c
c 0 0 c c c
c b c a a c
c b 0 a a c
a a a 0 0 a
a a b 0 0 a
a c a b b a
a c b b b a
c a c b b c
c a 0 b b c
c c c 0 0 c
c c 0 0 0 c

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 0x2 + 4x3 + 9x4 + 7x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_b)3 (X_c)1 + (X_0)1 (X_b)5 + (X_0)1 (X_a)1 (X_b)4 + (X_0)2 (X_b)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)3 (X_a)3 + (X_0)2 (X_a)3 (X_c)1 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_a)1 (X_b)3 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_a)2 (X_b)3 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)4 (X_b)1 + (X_a)3 (X_b)1 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)4 + (X_0)2 (X_a)3 (X_b)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1522

a 0 a a a a
0 a 0 a a 0
b 0 b b b b
0 b 0 b b 0
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b 0 b b 0
0 b c b b c
b 0 b b b b
b 0 a b b a
b b b 0 0 b
b b a 0 0 a
0 a 0 a a 0
0 a c a a c
0 c 0 c c 0
0 c c c c c
b a b c c b
b a a c c a
b c b a a b
b c a a a a
a 0 a a a a
a 0 b a a b
a b a c c a
a b b c c b
c 0 c c c c
c 0 0 c c 0
c b c a a c
c b 0 a a 0
a a a 0 0 a
a a b 0 0 b
a c a b b a
a c b b b b
c a c b b c
c a 0 b b 0
c c c 0 0 c
c c 0 0 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 2x2 + 4x3 + 7x4 + 8x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)1 (X_b)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_a)1 (X_b)3 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_a)2 (X_b)3 (X_c)1 + (X_a)4 (X_b)1 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)3 (X_b)2 + (X_a)3 (X_b)1 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_a)3 (X_b)2 (X_c)1 + (X_a)1 (X_b)4 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1523

a 0 a a a a
0 a 0 a a 0
b 0 b b b b
0 b 0 b b 0
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b 0 b b 0
0 b c b a 0
b 0 b b b b
b 0 a b a b
b b b 0 0 b
b b a 0 c b
0 a 0 a a 0
0 a c a b 0
0 c 0 c c 0
0 c c c 0 0
b a b c c b
b a a c 0 b
b c b a a b
b c a a b b
a 0 a a a a
a 0 b a b a
a b a c c a
a b b c 0 a
c 0 c c c c
c 0 0 c 0 c
c b c a a c
c b 0 a b c
a a a 0 0 a
a a b 0 c a
a c a b b a
a c b b a a
c a c b b c
c a 0 b a c
c c c 0 0 c
c c 0 0 c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 5x3 + 6x4 + 11x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_b)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)3 (X_b)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1524

a 0 a a a a
0 a 0 a a 0
b 0 b b b b
0 b 0 b b 0
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b 0 b b 0
0 b c b a c
b 0 b b b b
b 0 a b a a
b b b 0 0 b
b b a 0 c a
0 a 0 a a 0
0 a c a b c
0 c 0 c c 0
0 c c c 0 c
b a b c c b
b a a c 0 a
b c b a a b
b c a a b a
a 0 a a a a
a 0 b a b b
a b a c c a
a b b c 0 b
c 0 c c c c
c 0 0 c 0 0
c b c a a c
c b 0 a b 0
a a a 0 0 a
a a b 0 c b
a c a b b a
a c b b a b
c a c b b c
c a 0 b a 0
c c c 0 0 c
c c 0 0 c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 5x3 + 6x4 + 11x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_b)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)2 (X_b)3 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1525

a 0 a a a a
0 a 0 a a 0
b 0 b b b b
0 b 0 b b 0
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b 0 b b 0
0 b c a b 0
b 0 b b b b
b 0 a a b b
b b b 0 0 b
b b a c 0 b
0 a 0 a a 0
0 a c b a 0
0 c 0 c c 0
0 c c 0 c 0
b a b c c b
b a a 0 c b
b c b a a b
b c a b a b
a 0 a a a a
a 0 b b a a
a b a c c a
a b b 0 c a
c 0 c c c c
c 0 0 0 c c
c b c a a c
c b 0 b a c
a a a 0 0 a
a a b c 0 a
a c a b b a
a c b a b a
c a c b b c
c a 0 a b c
c c c 0 0 c
c c 0 c 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 5x3 + 6x4 + 11x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_b)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)3 (X_b)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1526

a 0 a a a a
0 a 0 a a 0
b 0 b b b b
0 b 0 b b 0
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b 0 b b 0
0 b c a b c
b 0 b b b b
b 0 a a b a
b b b 0 0 b
b b a c 0 a
0 a 0 a a 0
0 a c b a c
0 c 0 c c 0
0 c c 0 c c
b a b c c b
b a a 0 c a
b c b a a b
b c a b a a
a 0 a a a a
a 0 b b a b
a b a c c a
a b b 0 c b
c 0 c c c c
c 0 0 0 c 0
c b c a a c
c b 0 b a 0
a a a 0 0 a
a a b c 0 b
a c a b b a
a c b a b b
c a c b b c
c a 0 a b 0
c c c 0 0 c
c c 0 c 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 5x3 + 6x4 + 11x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_b)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)2 (X_b)3 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1527

a 0 a a a a
0 a 0 a a 0
b 0 b b b b
0 b 0 b b 0
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b 0 b b 0
0 b c a a 0
b 0 b b b b
b 0 a a a b
b b b 0 0 b
b b a c c b
0 a 0 a a 0
0 a c b b 0
0 c 0 c c 0
0 c c 0 0 0
b a b c c b
b a a 0 0 b
b c b a a b
b c a b b b
a 0 a a a a
a 0 b b b a
a b a c c a
a b b 0 0 a
c 0 c c c c
c 0 0 0 0 c
c b c a a c
c b 0 b b c
a a a 0 0 a
a a b c c a
a c a b b a
a c b a a a
c a c b b c
c a 0 a a c
c c c 0 0 c
c c 0 c c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 2x2 + 4x3 + 7x4 + 8x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_b)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)2 (X_b)4 + (X_a)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_a)2 (X_b)3 (X_c)1 + (X_a)1 (X_b)4 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)2 (X_b)3 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)4 + (X_a)3 (X_b)1 (X_c)2 + (X_a)3 (X_b)2 (X_c)1 + (X_a)4 (X_b)1 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1528

a 0 a a a a
0 a 0 a a 0
b 0 b b b b
0 b 0 b b 0
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b 0 b b 0
0 b c a a c
b 0 b b b b
b 0 a a a a
b b b 0 0 b
b b a c c a
0 a 0 a a 0
0 a c b b c
0 c 0 c c 0
0 c c 0 0 c
b a b c c b
b a a 0 0 a
b c b a a b
b c a b b a
a 0 a a a a
a 0 b b b b
a b a c c a
a b b 0 0 b
c 0 c c c c
c 0 0 0 0 0
c b c a a c
c b 0 b b 0
a a a 0 0 a
a a b c c b
a c a b b a
a c b a a b
c a c b b c
c a 0 a a 0
c c c 0 0 c
c c 0 c c 0

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 0x2 + 4x3 + 9x4 + 7x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)3 (X_b)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_b)5 + (X_0)1 (X_a)4 (X_b)1 + (X_0)2 (X_b)4 + (X_a)2 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)3 (X_b)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)1 (X_b)4 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_c)5 + (X_0)5 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_a)2 (X_b)2 (X_c)2 + (X_a)3 (X_b)2 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)3 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1529

a 0 a a a a
0 a 0 a a a
b 0 b b b b
0 b 0 b b b
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b 0 b b b
0 b c b b b
b 0 b b b b
b 0 a b b b
b b b 0 0 0
b b a 0 0 0
0 a 0 a a a
0 a c a a a
0 c 0 c c c
0 c c c c c
b a b c c c
b a a c c c
b c b a a a
b c a a a a
a 0 a a a a
a 0 b a a a
a b a c c c
a b b c c c
c 0 c c c c
c 0 0 c c c
c b c a a a
c b 0 a a a
a a a 0 0 0
a a b 0 0 0
a c a b b b
a c b b b b
c a c b b b
c a 0 b b b
c c c 0 0 0
c c 0 0 0 0

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 1x2 + 5x3 + 4x4 + 10x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_b)4 (X_c)1 + (X_0)1 (X_b)5 + (X_0)1 (X_a)1 (X_b)4 + (X_0)3 (X_b)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)4 (X_c)1 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_a)1 (X_b)2 (X_c)3 + (X_a)2 (X_b)1 (X_c)3 + (X_a)3 (X_b)2 (X_c)1 + (X_a)4 (X_b)1 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)4 (X_b)1 + (X_a)2 (X_b)1 (X_c)3 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)3 (X_a)3 + (X_0)3 (X_a)2 (X_b)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)1 (X_b)4 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1530

a 0 a a a a
0 a 0 a a a
b 0 b b b b
0 b 0 b b b
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b 0 b b b
0 b c b b a
b 0 b b b b
b 0 a b b a
b b b 0 0 0
b b a 0 0 c
0 a 0 a a a
0 a c a a b
0 c 0 c c c
0 c c c c 0
b a b c c c
b a a c c 0
b c b a a a
b c a a a b
a 0 a a a a
a 0 b a a b
a b a c c c
a b b c c 0
c 0 c c c c
c 0 0 c c 0
c b c a a a
c b 0 a a b
a a a 0 0 0
a a b 0 0 c
a c a b b b
a c b b b a
c a c b b b
c a 0 b b a
c c c 0 0 0
c c 0 0 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 5x3 + 6x4 + 11x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_b)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)3 (X_b)2 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)3 (X_b)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1531

a 0 a a a a
0 a 0 a a a
b 0 b b b b
0 b 0 b b b
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b 0 b b b
0 b c b a b
b 0 b b b b
b 0 a b a b
b b b 0 0 0
b b a 0 c 0
0 a 0 a a a
0 a c a b a
0 c 0 c c c
0 c c c 0 c
b a b c c c
b a a c 0 c
b c b a a a
b c a a b a
a 0 a a a a
a 0 b a b a
a b a c c c
a b b c 0 c
c 0 c c c c
c 0 0 c 0 c
c b c a a a
c b 0 a b a
a a a 0 0 0
a a b 0 c 0
a c a b b b
a c b b a b
c a c b b b
c a 0 b a b
c c c 0 0 0
c c 0 0 c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 5x3 + 6x4 + 11x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_b)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)3 (X_b)2 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)3 (X_b)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1532

a 0 a a a a
0 a 0 a a a
b 0 b b b b
0 b 0 b b b
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b 0 b b b
0 b c b a a
b 0 b b b b
b 0 a b a a
b b b 0 0 0
b b a 0 c c
0 a 0 a a a
0 a c a b b
0 c 0 c c c
0 c c c 0 0
b a b c c c
b a a c 0 0
b c b a a a
b c a a b b
a 0 a a a a
a 0 b a b b
a b a c c c
a b b c 0 0
c 0 c c c c
c 0 0 c 0 0
c b c a a a
c b 0 a b b
a a a 0 0 0
a a b 0 c c
a c a b b b
a c b b a a
c a c b b b
c a 0 b a a
c c c 0 0 0
c c 0 0 c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 5x3 + 6x4 + 11x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_b)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)2 (X_b)3 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)2 (X_b)3 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1533

a 0 a a a a
0 a 0 a a a
b 0 b b b b
0 b 0 b b b
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b 0 b b b
0 b c a b b
b 0 b b b b
b 0 a a b b
b b b 0 0 0
b b a c 0 0
0 a 0 a a a
0 a c b a a
0 c 0 c c c
0 c c 0 c c
b a b c c c
b a a 0 c c
b c b a a a
b c a b a a
a 0 a a a a
a 0 b b a a
a b a c c c
a b b 0 c c
c 0 c c c c
c 0 0 0 c c
c b c a a a
c b 0 b a a
a a a 0 0 0
a a b c 0 0
a c a b b b
a c b a b b
c a c b b b
c a 0 a b b
c c c 0 0 0
c c 0 c 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 5x3 + 6x4 + 11x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_b)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)3 (X_b)2 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)3 (X_b)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1534

a 0 a a a a
0 a 0 a a a
b 0 b b b b
0 b 0 b b b
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b 0 b b b
0 b c a b a
b 0 b b b b
b 0 a a b a
b b b 0 0 0
b b a c 0 c
0 a 0 a a a
0 a c b a b
0 c 0 c c c
0 c c 0 c 0
b a b c c c
b a a 0 c 0
b c b a a a
b c a b a b
a 0 a a a a
a 0 b b a b
a b a c c c
a b b 0 c 0
c 0 c c c c
c 0 0 0 c 0
c b c a a a
c b 0 b a b
a a a 0 0 0
a a b c 0 c
a c a b b b
a c b a b a
c a c b b b
c a 0 a b a
c c c 0 0 0
c c 0 c 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 5x3 + 6x4 + 11x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_b)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)2 (X_b)3 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)2 (X_b)3 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1535

a 0 a a a a
0 a 0 a a a
b 0 b b b b
0 b 0 b b b
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b 0 b b b
0 b c a a b
b 0 b b b b
b 0 a a a b
b b b 0 0 0
b b a c c 0
0 a 0 a a a
0 a c b b a
0 c 0 c c c
0 c c 0 0 c
b a b c c c
b a a 0 0 c
b c b a a a
b c a b b a
a 0 a a a a
a 0 b b b a
a b a c c c
a b b 0 0 c
c 0 c c c c
c 0 0 0 0 c
c b c a a a
c b 0 b b a
a a a 0 0 0
a a b c c 0
a c a b b b
a c b a a b
c a c b b b
c a 0 a a b
c c c 0 0 0
c c 0 c c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 5x3 + 6x4 + 11x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_b)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)2 (X_b)3 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)2 (X_b)3 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1536

a 0 a a a a
0 a 0 a a a
b 0 b b b b
0 b 0 b b b
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b 0 b b b
0 b c a a a
b 0 b b b b
b 0 a a a a
b b b 0 0 0
b b a c c c
0 a 0 a a a
0 a c b b b
0 c 0 c c c
0 c c 0 0 0
b a b c c c
b a a 0 0 0
b c b a a a
b c a b b b
a 0 a a a a
a 0 b b b b
a b a c c c
a b b 0 0 0
c 0 c c c c
c 0 0 0 0 0
c b c a a a
c b 0 b b b
a a a 0 0 0
a a b c c c
a c a b b b
a c b a a a
c a c b b b
c a 0 a a a
c c c 0 0 0
c c 0 c c c

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 1x2 + 5x3 + 4x4 + 10x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)2 (X_b)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_b)5 + (X_0)1 (X_a)4 (X_b)1 + (X_0)3 (X_b)3 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)2 (X_b)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)1 (X_b)4 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)1 (X_b)4 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)1 (X_c)5 + (X_0)5 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_b)4 (X_c)1 + (X_0)3 (X_a)3 + (X_a)2 (X_b)1 (X_c)3 + (X_a)2 (X_b)3 (X_c)1 + (X_a)4 (X_b)1 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)4 (X_c)1 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1537

a 0 a 0 0 0
0 a a 0 0 0
b 0 b 0 0 0
0 b b 0 0 0
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b b 0 0 0
0 b a 0 0 0
b 0 b 0 0 0
b 0 a 0 0 0
b b 0 0 0 0
b b c 0 0 0
0 a a 0 0 0
0 a b 0 0 0
0 c c 0 0 0
0 c 0 0 0 0
b a c 0 0 0
b a 0 0 0 0
b c a 0 0 0
b c b 0 0 0
a 0 a 0 0 0
a 0 b 0 0 0
a b c 0 0 0
a b 0 0 0 0
c 0 c 0 0 0
c 0 0 0 0 0
c b a 0 0 0
c b b 0 0 0
a a 0 0 0 0
a a c 0 0 0
a c b 0 0 0
a c a 0 0 0
c a b 0 0 0
c a a 0 0 0
c c 0 0 0 0
c c c 0 0 0

dmin: 1
Weight Enumerator: 1x0 + 3x1 + 15x2 + 13x3 + 0x4 + 0x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)4 (X_b)2 + (X_0)4 (X_a)1 (X_b)1 + (X_0)4 (X_b)2 + (X_0)4 (X_a)1 (X_b)1 + (X_0)4 (X_b)2 + (X_0)3 (X_b)2 (X_c)1 + (X_0)4 (X_a)2 + (X_0)4 (X_a)1 (X_b)1 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)4 (X_a)1 (X_b)1 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)3 (X_b)2 (X_c)1 + (X_0)4 (X_a)2 + (X_0)4 (X_a)1 (X_b)1 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)4 (X_a)1 (X_b)1 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)3 (X_b)2 (X_c)1 + (X_0)4 (X_a)2 + (X_0)3 (X_a)2 (X_c)1 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)3 (X_a)2 (X_c)1 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)3 (X_a)2 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 a a 0
0 0 0 a a a
0 0 0 a a b
0 0 0 a a c
0 0 0 a b 0
0 0 0 a b a
0 0 0 a b b
0 0 0 a b c
0 0 0 a c 0
0 0 0 a c a
0 0 0 a c b
0 0 0 a c c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 b a 0
0 0 0 b a a
0 0 0 b a b
0 0 0 b a c
0 0 0 b b 0
0 0 0 b b a
0 0 0 b b b
0 0 0 b b c
0 0 0 b c 0
0 0 0 b c a
0 0 0 b c b
0 0 0 b c c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c
0 0 0 c a 0
0 0 0 c a a
0 0 0 c a b
0 0 0 c a c
0 0 0 c b 0
0 0 0 c b a
0 0 0 c b b
0 0 0 c b c
0 0 0 c c 0
0 0 0 c c a
0 0 0 c c b
0 0 0 c c c

Is it a nice code?: No

Generator Matrix-1538

a 0 a 0 0 0
0 a a 0 0 0
b 0 b 0 0 0
0 b b 0 0 0
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b b 0 0 0
0 b a 0 0 c
b 0 b 0 0 0
b 0 a 0 0 c
b b 0 0 0 0
b b c 0 0 c
0 a a 0 0 0
0 a b 0 0 c
0 c c 0 0 0
0 c 0 0 0 c
b a c 0 0 0
b a 0 0 0 c
b c a 0 0 0
b c b 0 0 c
a 0 a 0 0 0
a 0 b 0 0 c
a b c 0 0 0
a b 0 0 0 c
c 0 c 0 0 0
c 0 0 0 0 c
c b a 0 0 0
c b b 0 0 c
a a 0 0 0 0
a a c 0 0 c
a c b 0 0 0
a c a 0 0 c
c a b 0 0 0
c a a 0 0 c
c c 0 0 0 0
c c c 0 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 12x2 + 12x3 + 7x4 + 0x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_b)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)4 (X_b)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)4 (X_a)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_b)2 (X_c)2 + (X_0)4 (X_a)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_b)2 (X_c)2 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_c)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 a a 0
0 0 0 a a a
0 0 0 a a b
0 0 0 a a c
0 0 0 a b 0
0 0 0 a b a
0 0 0 a b b
0 0 0 a b c
0 0 0 a c 0
0 0 0 a c a
0 0 0 a c b
0 0 0 a c c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 b a 0
0 0 0 b a a
0 0 0 b a b
0 0 0 b a c
0 0 0 b b 0
0 0 0 b b a
0 0 0 b b b
0 0 0 b b c
0 0 0 b c 0
0 0 0 b c a
0 0 0 b c b
0 0 0 b c c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c
0 0 0 c a 0
0 0 0 c a a
0 0 0 c a b
0 0 0 c a c
0 0 0 c b 0
0 0 0 c b a
0 0 0 c b b
0 0 0 c b c
0 0 0 c c 0
0 0 0 c c a
0 0 0 c c b
0 0 0 c c c

Is it a nice code?: No

Generator Matrix-1539

a 0 a 0 0 0
0 a a 0 0 0
b 0 b 0 0 0
0 b b 0 0 0
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b b 0 0 0
0 b a 0 c 0
b 0 b 0 0 0
b 0 a 0 c 0
b b 0 0 0 0
b b c 0 c 0
0 a a 0 0 0
0 a b 0 c 0
0 c c 0 0 0
0 c 0 0 c 0
b a c 0 0 0
b a 0 0 c 0
b c a 0 0 0
b c b 0 c 0
a 0 a 0 0 0
a 0 b 0 c 0
a b c 0 0 0
a b 0 0 c 0
c 0 c 0 0 0
c 0 0 0 c 0
c b a 0 0 0
c b b 0 c 0
a a 0 0 0 0
a a c 0 c 0
a c b 0 0 0
a c a 0 c 0
c a b 0 0 0
c a a 0 c 0
c c 0 0 0 0
c c c 0 c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 12x2 + 12x3 + 7x4 + 0x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_b)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)4 (X_b)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)4 (X_a)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_b)2 (X_c)2 + (X_0)4 (X_a)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_b)2 (X_c)2 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_c)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 a a 0
0 0 0 a a a
0 0 0 a a b
0 0 0 a a c
0 0 0 a b 0
0 0 0 a b a
0 0 0 a b b
0 0 0 a b c
0 0 0 a c 0
0 0 0 a c a
0 0 0 a c b
0 0 0 a c c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 b a 0
0 0 0 b a a
0 0 0 b a b
0 0 0 b a c
0 0 0 b b 0
0 0 0 b b a
0 0 0 b b b
0 0 0 b b c
0 0 0 b c 0
0 0 0 b c a
0 0 0 b c b
0 0 0 b c c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c
0 0 0 c a 0
0 0 0 c a a
0 0 0 c a b
0 0 0 c a c
0 0 0 c b 0
0 0 0 c b a
0 0 0 c b b
0 0 0 c b c
0 0 0 c c 0
0 0 0 c c a
0 0 0 c c b
0 0 0 c c c

Is it a nice code?: No

Generator Matrix-1540

a 0 a 0 0 0
0 a a 0 0 0
b 0 b 0 0 0
0 b b 0 0 0
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b b 0 0 0
0 b a 0 c c
b 0 b 0 0 0
b 0 a 0 c c
b b 0 0 0 0
b b c 0 c c
0 a a 0 0 0
0 a b 0 c c
0 c c 0 0 0
0 c 0 0 c c
b a c 0 0 0
b a 0 0 c c
b c a 0 0 0
b c b 0 c c
a 0 a 0 0 0
a 0 b 0 c c
a b c 0 0 0
a b 0 0 c c
c 0 c 0 0 0
c 0 0 0 c c
c b a 0 0 0
c b b 0 c c
a a 0 0 0 0
a a c 0 c c
a c b 0 0 0
a c a 0 c c
c a b 0 0 0
c a a 0 c c
c c 0 0 0 0
c c c 0 c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 9x2 + 9x3 + 6x4 + 7x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_b)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_b)2 (X_c)3 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_b)2 (X_c)3 + (X_0)4 (X_a)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_c)3 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 a a 0
0 0 0 a a a
0 0 0 a a b
0 0 0 a a c
0 0 0 a b 0
0 0 0 a b a
0 0 0 a b b
0 0 0 a b c
0 0 0 a c 0
0 0 0 a c a
0 0 0 a c b
0 0 0 a c c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 b a 0
0 0 0 b a a
0 0 0 b a b
0 0 0 b a c
0 0 0 b b 0
0 0 0 b b a
0 0 0 b b b
0 0 0 b b c
0 0 0 b c 0
0 0 0 b c a
0 0 0 b c b
0 0 0 b c c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c
0 0 0 c a 0
0 0 0 c a a
0 0 0 c a b
0 0 0 c a c
0 0 0 c b 0
0 0 0 c b a
0 0 0 c b b
0 0 0 c b c
0 0 0 c c 0
0 0 0 c c a
0 0 0 c c b
0 0 0 c c c

Is it a nice code?: No

Generator Matrix-1541

a 0 a 0 0 0
0 a a 0 0 0
b 0 b 0 0 0
0 b b 0 0 0
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b b 0 0 0
0 b a c 0 0
b 0 b 0 0 0
b 0 a c 0 0
b b 0 0 0 0
b b c c 0 0
0 a a 0 0 0
0 a b c 0 0
0 c c 0 0 0
0 c 0 c 0 0
b a c 0 0 0
b a 0 c 0 0
b c a 0 0 0
b c b c 0 0
a 0 a 0 0 0
a 0 b c 0 0
a b c 0 0 0
a b 0 c 0 0
c 0 c 0 0 0
c 0 0 c 0 0
c b a 0 0 0
c b b c 0 0
a a 0 0 0 0
a a c c 0 0
a c b 0 0 0
a c a c 0 0
c a b 0 0 0
c a a c 0 0
c c 0 0 0 0
c c c c 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 12x2 + 12x3 + 7x4 + 0x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_b)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)4 (X_b)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)4 (X_a)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_b)2 (X_c)2 + (X_0)4 (X_a)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_b)2 (X_c)2 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_c)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 a a 0
0 0 0 a a a
0 0 0 a a b
0 0 0 a a c
0 0 0 a b 0
0 0 0 a b a
0 0 0 a b b
0 0 0 a b c
0 0 0 a c 0
0 0 0 a c a
0 0 0 a c b
0 0 0 a c c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 b a 0
0 0 0 b a a
0 0 0 b a b
0 0 0 b a c
0 0 0 b b 0
0 0 0 b b a
0 0 0 b b b
0 0 0 b b c
0 0 0 b c 0
0 0 0 b c a
0 0 0 b c b
0 0 0 b c c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c
0 0 0 c a 0
0 0 0 c a a
0 0 0 c a b
0 0 0 c a c
0 0 0 c b 0
0 0 0 c b a
0 0 0 c b b
0 0 0 c b c
0 0 0 c c 0
0 0 0 c c a
0 0 0 c c b
0 0 0 c c c

Is it a nice code?: No

Generator Matrix-1542

a 0 a 0 0 0
0 a a 0 0 0
b 0 b 0 0 0
0 b b 0 0 0
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b b 0 0 0
0 b a c 0 c
b 0 b 0 0 0
b 0 a c 0 c
b b 0 0 0 0
b b c c 0 c
0 a a 0 0 0
0 a b c 0 c
0 c c 0 0 0
0 c 0 c 0 c
b a c 0 0 0
b a 0 c 0 c
b c a 0 0 0
b c b c 0 c
a 0 a 0 0 0
a 0 b c 0 c
a b c 0 0 0
a b 0 c 0 c
c 0 c 0 0 0
c 0 0 c 0 c
c b a 0 0 0
c b b c 0 c
a a 0 0 0 0
a a c c 0 c
a c b 0 0 0
a c a c 0 c
c a b 0 0 0
c a a c 0 c
c c 0 0 0 0
c c c c 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 9x2 + 9x3 + 6x4 + 7x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_b)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_b)2 (X_c)3 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_b)2 (X_c)3 + (X_0)4 (X_a)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_c)3 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 a a 0
0 0 0 a a a
0 0 0 a a b
0 0 0 a a c
0 0 0 a b 0
0 0 0 a b a
0 0 0 a b b
0 0 0 a b c
0 0 0 a c 0
0 0 0 a c a
0 0 0 a c b
0 0 0 a c c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 b a 0
0 0 0 b a a
0 0 0 b a b
0 0 0 b a c
0 0 0 b b 0
0 0 0 b b a
0 0 0 b b b
0 0 0 b b c
0 0 0 b c 0
0 0 0 b c a
0 0 0 b c b
0 0 0 b c c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c
0 0 0 c a 0
0 0 0 c a a
0 0 0 c a b
0 0 0 c a c
0 0 0 c b 0
0 0 0 c b a
0 0 0 c b b
0 0 0 c b c
0 0 0 c c 0
0 0 0 c c a
0 0 0 c c b
0 0 0 c c c

Is it a nice code?: No

Generator Matrix-1543

a 0 a 0 0 0
0 a a 0 0 0
b 0 b 0 0 0
0 b b 0 0 0
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b b 0 0 0
0 b a c c 0
b 0 b 0 0 0
b 0 a c c 0
b b 0 0 0 0
b b c c c 0
0 a a 0 0 0
0 a b c c 0
0 c c 0 0 0
0 c 0 c c 0
b a c 0 0 0
b a 0 c c 0
b c a 0 0 0
b c b c c 0
a 0 a 0 0 0
a 0 b c c 0
a b c 0 0 0
a b 0 c c 0
c 0 c 0 0 0
c 0 0 c c 0
c b a 0 0 0
c b b c c 0
a a 0 0 0 0
a a c c c 0
a c b 0 0 0
a c a c c 0
c a b 0 0 0
c a a c c 0
c c 0 0 0 0
c c c c c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 9x2 + 9x3 + 6x4 + 7x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_b)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_b)2 (X_c)3 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_b)2 (X_c)3 + (X_0)4 (X_a)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_c)3 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 a a 0
0 0 0 a a a
0 0 0 a a b
0 0 0 a a c
0 0 0 a b 0
0 0 0 a b a
0 0 0 a b b
0 0 0 a b c
0 0 0 a c 0
0 0 0 a c a
0 0 0 a c b
0 0 0 a c c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 b a 0
0 0 0 b a a
0 0 0 b a b
0 0 0 b a c
0 0 0 b b 0
0 0 0 b b a
0 0 0 b b b
0 0 0 b b c
0 0 0 b c 0
0 0 0 b c a
0 0 0 b c b
0 0 0 b c c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c
0 0 0 c a 0
0 0 0 c a a
0 0 0 c a b
0 0 0 c a c
0 0 0 c b 0
0 0 0 c b a
0 0 0 c b b
0 0 0 c b c
0 0 0 c c 0
0 0 0 c c a
0 0 0 c c b
0 0 0 c c c

Is it a nice code?: No

Generator Matrix-1544

a 0 a 0 0 0
0 a a 0 0 0
b 0 b 0 0 0
0 b b 0 0 0
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b b 0 0 0
0 b a c c c
b 0 b 0 0 0
b 0 a c c c
b b 0 0 0 0
b b c c c c
0 a a 0 0 0
0 a b c c c
0 c c 0 0 0
0 c 0 c c c
b a c 0 0 0
b a 0 c c c
b c a 0 0 0
b c b c c c
a 0 a 0 0 0
a 0 b c c c
a b c 0 0 0
a b 0 c c c
c 0 c 0 0 0
c 0 0 c c c
c b a 0 0 0
c b b c c c
a a 0 0 0 0
a a c c c c
a c b 0 0 0
a c a c c c
c a b 0 0 0
c a a c c c
c c 0 0 0 0
c c c c c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 9x2 + 6x3 + 3x4 + 6x5 + 7x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)4 (X_b)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_b)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_b)2 + (X_b)2 (X_c)4 + (X_0)4 (X_a)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_b)2 (X_c)4 + (X_0)4 (X_a)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_b)2 (X_c)4 + (X_0)4 (X_a)2 + (X_a)2 (X_c)4 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_a)2 (X_c)4 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_a)2 (X_c)4 + (X_0)4 (X_c)2 + (X_c)6

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 a a 0
0 0 0 a a a
0 0 0 a a b
0 0 0 a a c
0 0 0 a b 0
0 0 0 a b a
0 0 0 a b b
0 0 0 a b c
0 0 0 a c 0
0 0 0 a c a
0 0 0 a c b
0 0 0 a c c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 b a 0
0 0 0 b a a
0 0 0 b a b
0 0 0 b a c
0 0 0 b b 0
0 0 0 b b a
0 0 0 b b b
0 0 0 b b c
0 0 0 b c 0
0 0 0 b c a
0 0 0 b c b
0 0 0 b c c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c
0 0 0 c a 0
0 0 0 c a a
0 0 0 c a b
0 0 0 c a c
0 0 0 c b 0
0 0 0 c b a
0 0 0 c b b
0 0 0 c b c
0 0 0 c c 0
0 0 0 c c a
0 0 0 c c b
0 0 0 c c c

Is it a nice code?: No

Generator Matrix-1545

a 0 a 0 0 0
0 a a 0 0 a
b 0 b 0 0 0
0 b b 0 0 b
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b b 0 0 b
0 b a 0 0 b
b 0 b 0 0 0
b 0 a 0 0 0
b b 0 0 0 b
b b c 0 0 b
0 a a 0 0 a
0 a b 0 0 a
0 c c 0 0 c
0 c 0 0 0 c
b a c 0 0 a
b a 0 0 0 a
b c a 0 0 c
b c b 0 0 c
a 0 a 0 0 0
a 0 b 0 0 0
a b c 0 0 b
a b 0 0 0 b
c 0 c 0 0 0
c 0 0 0 0 0
c b a 0 0 b
c b b 0 0 b
a a 0 0 0 a
a a c 0 0 a
a c b 0 0 c
a c a 0 0 c
c a b 0 0 a
c a a 0 0 a
c c 0 0 0 c
c c c 0 0 c

dmin: 1
Weight Enumerator: 1x0 + 2x1 + 6x2 + 10x3 + 13x4 + 0x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)3 (X_b)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)4 (X_b)2 + (X_0)4 (X_a)1 (X_b)1 + (X_0)3 (X_b)3 + (X_0)2 (X_b)3 (X_c)1 + (X_0)3 (X_a)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_a)2 (X_b)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)4 (X_a)2 + (X_0)4 (X_a)1 (X_b)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_a)1 (X_b)2 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_b)3 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)3 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)3 (X_c)1 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 0 a 0 0
0 0 0 a a 0
0 0 0 a b 0
0 0 0 a c 0
0 0 0 b 0 0
0 0 0 b a 0
0 0 0 b b 0
0 0 0 b c 0
0 0 0 c 0 0
0 0 0 c a 0
0 0 0 c b 0
0 0 0 c c 0

Is it a nice code?: No

Generator Matrix-1546

a 0 a 0 0 0
0 a a 0 0 a
b 0 b 0 0 0
0 b b 0 0 b
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b b 0 0 b
0 b a 0 0 a
b 0 b 0 0 0
b 0 a 0 0 c
b b 0 0 0 b
b b c 0 0 a
0 a a 0 0 a
0 a b 0 0 b
0 c c 0 0 c
0 c 0 0 0 0
b a c 0 0 a
b a 0 0 0 b
b c a 0 0 c
b c b 0 0 0
a 0 a 0 0 0
a 0 b 0 0 c
a b c 0 0 b
a b 0 0 0 a
c 0 c 0 0 0
c 0 0 0 0 c
c b a 0 0 b
c b b 0 0 a
a a 0 0 0 a
a a c 0 0 b
a c b 0 0 c
a c a 0 0 0
c a b 0 0 a
c a a 0 0 b
c c 0 0 0 c
c c c 0 0 0

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 5x2 + 15x3 + 10x4 + 0x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)4 (X_b)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_a)1 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_b)2 (X_c)1 + (X_0)4 (X_a)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_a)2 (X_b)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_a)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 0 a 0 0
0 0 0 a a 0
0 0 0 a b 0
0 0 0 a c 0
0 0 0 b 0 0
0 0 0 b a 0
0 0 0 b b 0
0 0 0 b c 0
0 0 0 c 0 0
0 0 0 c a 0
0 0 0 c b 0
0 0 0 c c 0

Is it a nice code?: No

Generator Matrix-1547

a 0 a 0 0 0
0 a a 0 0 a
b 0 b 0 0 0
0 b b 0 0 b
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b b 0 0 b
0 b a 0 c b
b 0 b 0 0 0
b 0 a 0 c 0
b b 0 0 0 b
b b c 0 c b
0 a a 0 0 a
0 a b 0 c a
0 c c 0 0 c
0 c 0 0 c c
b a c 0 0 a
b a 0 0 c a
b c a 0 0 c
b c b 0 c c
a 0 a 0 0 0
a 0 b 0 c 0
a b c 0 0 b
a b 0 0 c b
c 0 c 0 0 0
c 0 0 0 c 0
c b a 0 0 b
c b b 0 c b
a a 0 0 0 a
a a c 0 c a
a c b 0 0 c
a c a 0 c c
c a b 0 0 a
c a a 0 c a
c c 0 0 0 c
c c c 0 c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 5x2 + 9x3 + 10x4 + 7x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)4 (X_b)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)3 (X_b)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)4 (X_a)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 0 a 0 0
0 0 0 a a 0
0 0 0 a b 0
0 0 0 a c 0
0 0 0 b 0 0
0 0 0 b a 0
0 0 0 b b 0
0 0 0 b c 0
0 0 0 c 0 0
0 0 0 c a 0
0 0 0 c b 0
0 0 0 c c 0

Is it a nice code?: No

Generator Matrix-1548

a 0 a 0 0 0
0 a a 0 0 a
b 0 b 0 0 0
0 b b 0 0 b
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b b 0 0 b
0 b a 0 c a
b 0 b 0 0 0
b 0 a 0 c c
b b 0 0 0 b
b b c 0 c a
0 a a 0 0 a
0 a b 0 c b
0 c c 0 0 c
0 c 0 0 c 0
b a c 0 0 a
b a 0 0 c b
b c a 0 0 c
b c b 0 c 0
a 0 a 0 0 0
a 0 b 0 c c
a b c 0 0 b
a b 0 0 c a
c 0 c 0 0 0
c 0 0 0 c c
c b a 0 0 b
c b b 0 c a
a a 0 0 0 a
a a c 0 c b
a c b 0 0 c
a c a 0 c 0
c a b 0 0 a
c a a 0 c b
c c 0 0 0 c
c c c 0 c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 8x3 + 15x4 + 4x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 0 a 0 0
0 0 0 a a 0
0 0 0 a b 0
0 0 0 a c 0
0 0 0 b 0 0
0 0 0 b a 0
0 0 0 b b 0
0 0 0 b c 0
0 0 0 c 0 0
0 0 0 c a 0
0 0 0 c b 0
0 0 0 c c 0

Is it a nice code?: No

Generator Matrix-1549

a 0 a 0 0 0
0 a a 0 0 a
b 0 b 0 0 0
0 b b 0 0 b
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b b 0 0 b
0 b a c 0 b
b 0 b 0 0 0
b 0 a c 0 0
b b 0 0 0 b
b b c c 0 b
0 a a 0 0 a
0 a b c 0 a
0 c c 0 0 c
0 c 0 c 0 c
b a c 0 0 a
b a 0 c 0 a
b c a 0 0 c
b c b c 0 c
a 0 a 0 0 0
a 0 b c 0 0
a b c 0 0 b
a b 0 c 0 b
c 0 c 0 0 0
c 0 0 c 0 0
c b a 0 0 b
c b b c 0 b
a a 0 0 0 a
a a c c 0 a
a c b 0 0 c
a c a c 0 c
c a b 0 0 a
c a a c 0 a
c c 0 0 0 c
c c c c 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 5x2 + 9x3 + 10x4 + 7x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)4 (X_b)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)3 (X_b)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)4 (X_a)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 0 a 0 0
0 0 0 a a 0
0 0 0 a b 0
0 0 0 a c 0
0 0 0 b 0 0
0 0 0 b a 0
0 0 0 b b 0
0 0 0 b c 0
0 0 0 c 0 0
0 0 0 c a 0
0 0 0 c b 0
0 0 0 c c 0

Is it a nice code?: No

Generator Matrix-1550

a 0 a 0 0 0
0 a a 0 0 a
b 0 b 0 0 0
0 b b 0 0 b
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b b 0 0 b
0 b a c 0 a
b 0 b 0 0 0
b 0 a c 0 c
b b 0 0 0 b
b b c c 0 a
0 a a 0 0 a
0 a b c 0 b
0 c c 0 0 c
0 c 0 c 0 0
b a c 0 0 a
b a 0 c 0 b
b c a 0 0 c
b c b c 0 0
a 0 a 0 0 0
a 0 b c 0 c
a b c 0 0 b
a b 0 c 0 a
c 0 c 0 0 0
c 0 0 c 0 c
c b a 0 0 b
c b b c 0 a
a a 0 0 0 a
a a c c 0 b
a c b 0 0 c
a c a c 0 0
c a b 0 0 a
c a a c 0 b
c c 0 0 0 c
c c c c 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 8x3 + 15x4 + 4x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 0 a 0 0
0 0 0 a a 0
0 0 0 a b 0
0 0 0 a c 0
0 0 0 b 0 0
0 0 0 b a 0
0 0 0 b b 0
0 0 0 b c 0
0 0 0 c 0 0
0 0 0 c a 0
0 0 0 c b 0
0 0 0 c c 0

Is it a nice code?: No

Generator Matrix-1551

a 0 a 0 0 0
0 a a 0 0 a
b 0 b 0 0 0
0 b b 0 0 b
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b b 0 0 b
0 b a c c b
b 0 b 0 0 0
b 0 a c c 0
b b 0 0 0 b
b b c c c b
0 a a 0 0 a
0 a b c c a
0 c c 0 0 c
0 c 0 c c c
b a c 0 0 a
b a 0 c c a
b c a 0 0 c
b c b c c c
a 0 a 0 0 0
a 0 b c c 0
a b c 0 0 b
a b 0 c c b
c 0 c 0 0 0
c 0 0 c c 0
c b a 0 0 b
c b b c c b
a a 0 0 0 a
a a c c c a
a c b 0 0 c
a c a c c c
c a b 0 0 a
c a a c c a
c c 0 0 0 c
c c c c c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 8x3 + 9x4 + 4x5 + 7x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_b)3 + (X_b)3 (X_c)3 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_b)2 (X_c)4 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_b)3 (X_c)3 + (X_0)3 (X_a)3 + (X_a)3 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_a)2 (X_c)4 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)3 (X_c)3 + (X_0)3 (X_c)3 + (X_c)6

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 0 a 0 0
0 0 0 a a 0
0 0 0 a b 0
0 0 0 a c 0
0 0 0 b 0 0
0 0 0 b a 0
0 0 0 b b 0
0 0 0 b c 0
0 0 0 c 0 0
0 0 0 c a 0
0 0 0 c b 0
0 0 0 c c 0

Is it a nice code?: No

Generator Matrix-1552

a 0 a 0 0 0
0 a a 0 0 a
b 0 b 0 0 0
0 b b 0 0 b
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b b 0 0 b
0 b a c c a
b 0 b 0 0 0
b 0 a c c c
b b 0 0 0 b
b b c c c a
0 a a 0 0 a
0 a b c c b
0 c c 0 0 c
0 c 0 c c 0
b a c 0 0 a
b a 0 c c b
b c a 0 0 c
b c b c c 0
a 0 a 0 0 0
a 0 b c c c
a b c 0 0 b
a b 0 c c a
c 0 c 0 0 0
c 0 0 c c c
c b a 0 0 b
c b b c c a
a a 0 0 0 a
a a c c c b
a c b 0 0 c
a c a c c 0
c a b 0 0 a
c a a c c b
c c 0 0 0 c
c c c c c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 7x3 + 8x4 + 9x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)3 (X_b)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)4 (X_b)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_b)3 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)4 (X_a)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)3 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 0 a 0 0
0 0 0 a a 0
0 0 0 a b 0
0 0 0 a c 0
0 0 0 b 0 0
0 0 0 b a 0
0 0 0 b b 0
0 0 0 b c 0
0 0 0 c 0 0
0 0 0 c a 0
0 0 0 c b 0
0 0 0 c c 0

Is it a nice code?: No

Generator Matrix-1553

a 0 a 0 0 0
0 a a 0 a 0
b 0 b 0 0 0
0 b b 0 b 0
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b b 0 b 0
0 b a 0 b 0
b 0 b 0 0 0
b 0 a 0 0 0
b b 0 0 b 0
b b c 0 b 0
0 a a 0 a 0
0 a b 0 a 0
0 c c 0 c 0
0 c 0 0 c 0
b a c 0 a 0
b a 0 0 a 0
b c a 0 c 0
b c b 0 c 0
a 0 a 0 0 0
a 0 b 0 0 0
a b c 0 b 0
a b 0 0 b 0
c 0 c 0 0 0
c 0 0 0 0 0
c b a 0 b 0
c b b 0 b 0
a a 0 0 a 0
a a c 0 a 0
a c b 0 c 0
a c a 0 c 0
c a b 0 a 0
c a a 0 a 0
c c 0 0 c 0
c c c 0 c 0

dmin: 1
Weight Enumerator: 1x0 + 2x1 + 6x2 + 10x3 + 13x4 + 0x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)3 (X_b)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)4 (X_b)2 + (X_0)4 (X_a)1 (X_b)1 + (X_0)3 (X_b)3 + (X_0)2 (X_b)3 (X_c)1 + (X_0)3 (X_a)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_a)2 (X_b)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)4 (X_a)2 + (X_0)4 (X_a)1 (X_b)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_a)1 (X_b)2 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_b)3 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)3 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)3 (X_c)1 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c

Is it a nice code?: No

Generator Matrix-1554

a 0 a 0 0 0
0 a a 0 a 0
b 0 b 0 0 0
0 b b 0 b 0
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b b 0 b 0
0 b a 0 b c
b 0 b 0 0 0
b 0 a 0 0 c
b b 0 0 b 0
b b c 0 b c
0 a a 0 a 0
0 a b 0 a c
0 c c 0 c 0
0 c 0 0 c c
b a c 0 a 0
b a 0 0 a c
b c a 0 c 0
b c b 0 c c
a 0 a 0 0 0
a 0 b 0 0 c
a b c 0 b 0
a b 0 0 b c
c 0 c 0 0 0
c 0 0 0 0 c
c b a 0 b 0
c b b 0 b c
a a 0 0 a 0
a a c 0 a c
a c b 0 c 0
a c a 0 c c
c a b 0 a 0
c a a 0 a c
c c 0 0 c 0
c c c 0 c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 5x2 + 9x3 + 10x4 + 7x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)4 (X_b)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)3 (X_b)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)4 (X_a)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c

Is it a nice code?: No

Generator Matrix-1555

a 0 a 0 0 0
0 a a 0 a 0
b 0 b 0 0 0
0 b b 0 b 0
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b b 0 b 0
0 b a 0 a 0
b 0 b 0 0 0
b 0 a 0 c 0
b b 0 0 b 0
b b c 0 a 0
0 a a 0 a 0
0 a b 0 b 0
0 c c 0 c 0
0 c 0 0 0 0
b a c 0 a 0
b a 0 0 b 0
b c a 0 c 0
b c b 0 0 0
a 0 a 0 0 0
a 0 b 0 c 0
a b c 0 b 0
a b 0 0 a 0
c 0 c 0 0 0
c 0 0 0 c 0
c b a 0 b 0
c b b 0 a 0
a a 0 0 a 0
a a c 0 b 0
a c b 0 c 0
a c a 0 0 0
c a b 0 a 0
c a a 0 b 0
c c 0 0 c 0
c c c 0 0 0

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 5x2 + 15x3 + 10x4 + 0x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)4 (X_b)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_a)1 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_b)2 (X_c)1 + (X_0)4 (X_a)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_a)2 (X_b)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_a)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c

Is it a nice code?: No

Generator Matrix-1556

a 0 a 0 0 0
0 a a 0 a 0
b 0 b 0 0 0
0 b b 0 b 0
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b b 0 b 0
0 b a 0 a c
b 0 b 0 0 0
b 0 a 0 c c
b b 0 0 b 0
b b c 0 a c
0 a a 0 a 0
0 a b 0 b c
0 c c 0 c 0
0 c 0 0 0 c
b a c 0 a 0
b a 0 0 b c
b c a 0 c 0
b c b 0 0 c
a 0 a 0 0 0
a 0 b 0 c c
a b c 0 b 0
a b 0 0 a c
c 0 c 0 0 0
c 0 0 0 c c
c b a 0 b 0
c b b 0 a c
a a 0 0 a 0
a a c 0 b c
a c b 0 c 0
a c a 0 0 c
c a b 0 a 0
c a a 0 b c
c c 0 0 c 0
c c c 0 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 8x3 + 15x4 + 4x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c

Is it a nice code?: No

Generator Matrix-1557

a 0 a 0 0 0
0 a a 0 a 0
b 0 b 0 0 0
0 b b 0 b 0
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b b 0 b 0
0 b a c b 0
b 0 b 0 0 0
b 0 a c 0 0
b b 0 0 b 0
b b c c b 0
0 a a 0 a 0
0 a b c a 0
0 c c 0 c 0
0 c 0 c c 0
b a c 0 a 0
b a 0 c a 0
b c a 0 c 0
b c b c c 0
a 0 a 0 0 0
a 0 b c 0 0
a b c 0 b 0
a b 0 c b 0
c 0 c 0 0 0
c 0 0 c 0 0
c b a 0 b 0
c b b c b 0
a a 0 0 a 0
a a c c a 0
a c b 0 c 0
a c a c c 0
c a b 0 a 0
c a a c a 0
c c 0 0 c 0
c c c c c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 5x2 + 9x3 + 10x4 + 7x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)4 (X_b)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)3 (X_b)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)4 (X_a)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c

Is it a nice code?: No

Generator Matrix-1558

a 0 a 0 0 0
0 a a 0 a 0
b 0 b 0 0 0
0 b b 0 b 0
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b b 0 b 0
0 b a c b c
b 0 b 0 0 0
b 0 a c 0 c
b b 0 0 b 0
b b c c b c
0 a a 0 a 0
0 a b c a c
0 c c 0 c 0
0 c 0 c c c
b a c 0 a 0
b a 0 c a c
b c a 0 c 0
b c b c c c
a 0 a 0 0 0
a 0 b c 0 c
a b c 0 b 0
a b 0 c b c
c 0 c 0 0 0
c 0 0 c 0 c
c b a 0 b 0
c b b c b c
a a 0 0 a 0
a a c c a c
a c b 0 c 0
a c a c c c
c a b 0 a 0
c a a c a c
c c 0 0 c 0
c c c c c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 8x3 + 9x4 + 4x5 + 7x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_b)3 + (X_b)3 (X_c)3 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_b)2 (X_c)4 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_b)3 (X_c)3 + (X_0)3 (X_a)3 + (X_a)3 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_a)2 (X_c)4 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)3 (X_c)3 + (X_0)3 (X_c)3 + (X_c)6

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c

Is it a nice code?: No

Generator Matrix-1559

a 0 a 0 0 0
0 a a 0 a 0
b 0 b 0 0 0
0 b b 0 b 0
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b b 0 b 0
0 b a c a 0
b 0 b 0 0 0
b 0 a c c 0
b b 0 0 b 0
b b c c a 0
0 a a 0 a 0
0 a b c b 0
0 c c 0 c 0
0 c 0 c 0 0
b a c 0 a 0
b a 0 c b 0
b c a 0 c 0
b c b c 0 0
a 0 a 0 0 0
a 0 b c c 0
a b c 0 b 0
a b 0 c a 0
c 0 c 0 0 0
c 0 0 c c 0
c b a 0 b 0
c b b c a 0
a a 0 0 a 0
a a c c b 0
a c b 0 c 0
a c a c 0 0
c a b 0 a 0
c a a c b 0
c c 0 0 c 0
c c c c 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 8x3 + 15x4 + 4x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c

Is it a nice code?: No

Generator Matrix-1560

a 0 a 0 0 0
0 a a 0 a 0
b 0 b 0 0 0
0 b b 0 b 0
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b b 0 b 0
0 b a c a c
b 0 b 0 0 0
b 0 a c c c
b b 0 0 b 0
b b c c a c
0 a a 0 a 0
0 a b c b c
0 c c 0 c 0
0 c 0 c 0 c
b a c 0 a 0
b a 0 c b c
b c a 0 c 0
b c b c 0 c
a 0 a 0 0 0
a 0 b c c c
a b c 0 b 0
a b 0 c a c
c 0 c 0 0 0
c 0 0 c c c
c b a 0 b 0
c b b c a c
a a 0 0 a 0
a a c c b c
a c b 0 c 0
a c a c 0 c
c a b 0 a 0
c a a c b c
c c 0 0 c 0
c c c c 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 7x3 + 8x4 + 9x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)3 (X_b)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)4 (X_b)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_b)3 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)4 (X_a)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)3 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c

Is it a nice code?: No

Generator Matrix-1561

a 0 a 0 0 0
0 a a 0 a a
b 0 b 0 0 0
0 b b 0 b b
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b b 0 b b
0 b a 0 b b
b 0 b 0 0 0
b 0 a 0 0 0
b b 0 0 b b
b b c 0 b b
0 a a 0 a a
0 a b 0 a a
0 c c 0 c c
0 c 0 0 c c
b a c 0 a a
b a 0 0 a a
b c a 0 c c
b c b 0 c c
a 0 a 0 0 0
a 0 b 0 0 0
a b c 0 b b
a b 0 0 b b
c 0 c 0 0 0
c 0 0 0 0 0
c b a 0 b b
c b b 0 b b
a a 0 0 a a
a a c 0 a a
a c b 0 c c
a c a 0 c c
c a b 0 a a
c a a 0 a a
c c 0 0 c c
c c c 0 c c

dmin: 1
Weight Enumerator: 1x0 + 2x1 + 5x2 + 1x3 + 10x4 + 13x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)2 (X_b)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)4 (X_b)2 + (X_0)4 (X_a)1 (X_b)1 + (X_0)2 (X_b)4 + (X_0)1 (X_b)4 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_b)2 (X_c)3 + (X_0)4 (X_a)2 + (X_0)4 (X_a)1 (X_b)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)1 (X_b)3 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_b)4 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)4 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)2 (X_c)3 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)4 (X_c)1 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0

Is it a nice code?: No

Generator Matrix-1562

a 0 a 0 0 0
0 a a 0 a a
b 0 b 0 0 0
0 b b 0 b b
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b b 0 b b
0 b a 0 b a
b 0 b 0 0 0
b 0 a 0 0 c
b b 0 0 b b
b b c 0 b a
0 a a 0 a a
0 a b 0 a b
0 c c 0 c c
0 c 0 0 c 0
b a c 0 a a
b a 0 0 a b
b c a 0 c c
b c b 0 c 0
a 0 a 0 0 0
a 0 b 0 0 c
a b c 0 b b
a b 0 0 b a
c 0 c 0 0 0
c 0 0 0 0 c
c b a 0 b b
c b b 0 b a
a a 0 0 a a
a a c 0 a b
a c b 0 c c
a c a 0 c 0
c a b 0 a a
c a a 0 a b
c c 0 0 c c
c c c 0 c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 6x2 + 2x3 + 13x4 + 10x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)4 (X_b)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_b)2 (X_c)2 + (X_0)4 (X_a)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0

Is it a nice code?: No

Generator Matrix-1563

a 0 a 0 0 0
0 a a 0 a a
b 0 b 0 0 0
0 b b 0 b b
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b b 0 b b
0 b a 0 a b
b 0 b 0 0 0
b 0 a 0 c 0
b b 0 0 b b
b b c 0 a b
0 a a 0 a a
0 a b 0 b a
0 c c 0 c c
0 c 0 0 0 c
b a c 0 a a
b a 0 0 b a
b c a 0 c c
b c b 0 0 c
a 0 a 0 0 0
a 0 b 0 c 0
a b c 0 b b
a b 0 0 a b
c 0 c 0 0 0
c 0 0 0 c 0
c b a 0 b b
c b b 0 a b
a a 0 0 a a
a a c 0 b a
a c b 0 c c
a c a 0 0 c
c a b 0 a a
c a a 0 b a
c c 0 0 c c
c c c 0 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 6x2 + 2x3 + 13x4 + 10x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)4 (X_b)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_b)2 (X_c)2 + (X_0)4 (X_a)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0

Is it a nice code?: No

Generator Matrix-1564

a 0 a 0 0 0
0 a a 0 a a
b 0 b 0 0 0
0 b b 0 b b
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b b 0 b b
0 b a 0 a a
b 0 b 0 0 0
b 0 a 0 c c
b b 0 0 b b
b b c 0 a a
0 a a 0 a a
0 a b 0 b b
0 c c 0 c c
0 c 0 0 0 0
b a c 0 a a
b a 0 0 b b
b c a 0 c c
b c b 0 0 0
a 0 a 0 0 0
a 0 b 0 c c
a b c 0 b b
a b 0 0 a a
c 0 c 0 0 0
c 0 0 0 c c
c b a 0 b b
c b b 0 a a
a a 0 0 a a
a a c 0 b b
a c b 0 c c
a c a 0 0 0
c a b 0 a a
c a a 0 b b
c c 0 0 c c
c c c 0 0 0

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 3x2 + 5x3 + 12x4 + 10x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)2 (X_b)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_b)2 (X_c)1 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)3 (X_b)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_a)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0

Is it a nice code?: No

Generator Matrix-1565

a 0 a 0 0 0
0 a a 0 a a
b 0 b 0 0 0
0 b b 0 b b
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b b 0 b b
0 b a c b b
b 0 b 0 0 0
b 0 a c 0 0
b b 0 0 b b
b b c c b b
0 a a 0 a a
0 a b c a a
0 c c 0 c c
0 c 0 c c c
b a c 0 a a
b a 0 c a a
b c a 0 c c
b c b c c c
a 0 a 0 0 0
a 0 b c 0 0
a b c 0 b b
a b 0 c b b
c 0 c 0 0 0
c 0 0 c 0 0
c b a 0 b b
c b b c b b
a a 0 0 a a
a a c c a a
a c b 0 c c
a c a c c c
c a b 0 a a
c a a c a a
c c 0 0 c c
c c c c c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 5x2 + 2x3 + 7x4 + 10x5 + 7x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)4 (X_b)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_b)4 + (X_b)4 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_b)2 (X_c)4 + (X_0)4 (X_a)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_b)4 (X_c)2 + (X_0)2 (X_a)4 + (X_a)4 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_a)2 (X_c)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)4 (X_c)2 + (X_0)2 (X_c)4 + (X_c)6

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0

Is it a nice code?: No

Generator Matrix-1566

a 0 a 0 0 0
0 a a 0 a a
b 0 b 0 0 0
0 b b 0 b b
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b b 0 b b
0 b a c b a
b 0 b 0 0 0
b 0 a c 0 c
b b 0 0 b b
b b c c b a
0 a a 0 a a
0 a b c a b
0 c c 0 c c
0 c 0 c c 0
b a c 0 a a
b a 0 c a b
b c a 0 c c
b c b c c 0
a 0 a 0 0 0
a 0 b c 0 c
a b c 0 b b
a b 0 c b a
c 0 c 0 0 0
c 0 0 c 0 c
c b a 0 b b
c b b c b a
a a 0 0 a a
a a c c a b
a c b 0 c c
a c a c c 0
c a b 0 a a
c a a c a b
c c 0 0 c c
c c c c c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 3x3 + 8x4 + 13x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_b)4 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_b)2 (X_c)3 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)4 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)2 (X_c)3 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0

Is it a nice code?: No

Generator Matrix-1567

a 0 a 0 0 0
0 a a 0 a a
b 0 b 0 0 0
0 b b 0 b b
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b b 0 b b
0 b a c a b
b 0 b 0 0 0
b 0 a c c 0
b b 0 0 b b
b b c c a b
0 a a 0 a a
0 a b c b a
0 c c 0 c c
0 c 0 c 0 c
b a c 0 a a
b a 0 c b a
b c a 0 c c
b c b c 0 c
a 0 a 0 0 0
a 0 b c c 0
a b c 0 b b
a b 0 c a b
c 0 c 0 0 0
c 0 0 c c 0
c b a 0 b b
c b b c a b
a a 0 0 a a
a a c c b a
a c b 0 c c
a c a c 0 c
c a b 0 a a
c a a c b a
c c 0 0 c c
c c c c 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 3x3 + 8x4 + 13x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_b)4 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_b)2 (X_c)3 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)4 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)2 (X_c)3 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0

Is it a nice code?: No

Generator Matrix-1568

a 0 a 0 0 0
0 a a 0 a a
b 0 b 0 0 0
0 b b 0 b b
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b b 0 b b
0 b a c a a
b 0 b 0 0 0
b 0 a c c c
b b 0 0 b b
b b c c a a
0 a a 0 a a
0 a b c b b
0 c c 0 c c
0 c 0 c 0 0
b a c 0 a a
b a 0 c b b
b c a 0 c c
b c b c 0 0
a 0 a 0 0 0
a 0 b c c c
a b c 0 b b
a b 0 c a a
c 0 c 0 0 0
c 0 0 c c c
c b a 0 b b
c b b c a a
a a 0 0 a a
a a c c b b
a c b 0 c c
a c a c 0 0
c a b 0 a a
c a a c b b
c c 0 0 c c
c c c c 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 0x3 + 11x4 + 12x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)2 (X_b)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)4 (X_b)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_b)4 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_b)2 (X_c)2 + (X_0)4 (X_a)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0

Is it a nice code?: No

Generator Matrix-1569

a 0 a 0 0 0
0 a a a 0 0
b 0 b 0 0 0
0 b b b 0 0
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b b b 0 0
0 b a b 0 0
b 0 b 0 0 0
b 0 a 0 0 0
b b 0 b 0 0
b b c b 0 0
0 a a a 0 0
0 a b a 0 0
0 c c c 0 0
0 c 0 c 0 0
b a c a 0 0
b a 0 a 0 0
b c a c 0 0
b c b c 0 0
a 0 a 0 0 0
a 0 b 0 0 0
a b c b 0 0
a b 0 b 0 0
c 0 c 0 0 0
c 0 0 0 0 0
c b a b 0 0
c b b b 0 0
a a 0 a 0 0
a a c a 0 0
a c b c 0 0
a c a c 0 0
c a b a 0 0
c a a a 0 0
c c 0 c 0 0
c c c c 0 0

dmin: 1
Weight Enumerator: 1x0 + 2x1 + 6x2 + 10x3 + 13x4 + 0x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)3 (X_b)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)4 (X_b)2 + (X_0)4 (X_a)1 (X_b)1 + (X_0)3 (X_b)3 + (X_0)2 (X_b)3 (X_c)1 + (X_0)3 (X_a)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_a)2 (X_b)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)4 (X_a)2 + (X_0)4 (X_a)1 (X_b)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_a)1 (X_b)2 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_b)3 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)3 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)3 (X_c)1 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c

Is it a nice code?: No

Generator Matrix-1570

a 0 a 0 0 0
0 a a a 0 0
b 0 b 0 0 0
0 b b b 0 0
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b b b 0 0
0 b a b 0 c
b 0 b 0 0 0
b 0 a 0 0 c
b b 0 b 0 0
b b c b 0 c
0 a a a 0 0
0 a b a 0 c
0 c c c 0 0
0 c 0 c 0 c
b a c a 0 0
b a 0 a 0 c
b c a c 0 0
b c b c 0 c
a 0 a 0 0 0
a 0 b 0 0 c
a b c b 0 0
a b 0 b 0 c
c 0 c 0 0 0
c 0 0 0 0 c
c b a b 0 0
c b b b 0 c
a a 0 a 0 0
a a c a 0 c
a c b c 0 0
a c a c 0 c
c a b a 0 0
c a a a 0 c
c c 0 c 0 0
c c c c 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 5x2 + 9x3 + 10x4 + 7x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)4 (X_b)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)3 (X_b)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)4 (X_a)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c

Is it a nice code?: No

Generator Matrix-1571

a 0 a 0 0 0
0 a a a 0 0
b 0 b 0 0 0
0 b b b 0 0
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b b b 0 0
0 b a b c 0
b 0 b 0 0 0
b 0 a 0 c 0
b b 0 b 0 0
b b c b c 0
0 a a a 0 0
0 a b a c 0
0 c c c 0 0
0 c 0 c c 0
b a c a 0 0
b a 0 a c 0
b c a c 0 0
b c b c c 0
a 0 a 0 0 0
a 0 b 0 c 0
a b c b 0 0
a b 0 b c 0
c 0 c 0 0 0
c 0 0 0 c 0
c b a b 0 0
c b b b c 0
a a 0 a 0 0
a a c a c 0
a c b c 0 0
a c a c c 0
c a b a 0 0
c a a a c 0
c c 0 c 0 0
c c c c c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 5x2 + 9x3 + 10x4 + 7x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)4 (X_b)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)3 (X_b)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)4 (X_a)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c

Is it a nice code?: No

Generator Matrix-1572

a 0 a 0 0 0
0 a a a 0 0
b 0 b 0 0 0
0 b b b 0 0
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b b b 0 0
0 b a b c c
b 0 b 0 0 0
b 0 a 0 c c
b b 0 b 0 0
b b c b c c
0 a a a 0 0
0 a b a c c
0 c c c 0 0
0 c 0 c c c
b a c a 0 0
b a 0 a c c
b c a c 0 0
b c b c c c
a 0 a 0 0 0
a 0 b 0 c c
a b c b 0 0
a b 0 b c c
c 0 c 0 0 0
c 0 0 0 c c
c b a b 0 0
c b b b c c
a a 0 a 0 0
a a c a c c
a c b c 0 0
a c a c c c
c a b a 0 0
c a a a c c
c c 0 c 0 0
c c c c c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 8x3 + 9x4 + 4x5 + 7x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_b)3 + (X_b)3 (X_c)3 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_b)2 (X_c)4 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_b)3 (X_c)3 + (X_0)3 (X_a)3 + (X_a)3 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_a)2 (X_c)4 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)3 (X_c)3 + (X_0)3 (X_c)3 + (X_c)6

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c

Is it a nice code?: No

Generator Matrix-1573

a 0 a 0 0 0
0 a a a 0 0
b 0 b 0 0 0
0 b b b 0 0
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b b b 0 0
0 b a a 0 0
b 0 b 0 0 0
b 0 a c 0 0
b b 0 b 0 0
b b c a 0 0
0 a a a 0 0
0 a b b 0 0
0 c c c 0 0
0 c 0 0 0 0
b a c a 0 0
b a 0 b 0 0
b c a c 0 0
b c b 0 0 0
a 0 a 0 0 0
a 0 b c 0 0
a b c b 0 0
a b 0 a 0 0
c 0 c 0 0 0
c 0 0 c 0 0
c b a b 0 0
c b b a 0 0
a a 0 a 0 0
a a c b 0 0
a c b c 0 0
a c a 0 0 0
c a b a 0 0
c a a b 0 0
c c 0 c 0 0
c c c 0 0 0

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 5x2 + 15x3 + 10x4 + 0x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)4 (X_b)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_a)1 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_b)2 (X_c)1 + (X_0)4 (X_a)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_a)2 (X_b)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_a)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c

Is it a nice code?: No

Generator Matrix-1574

a 0 a 0 0 0
0 a a a 0 0
b 0 b 0 0 0
0 b b b 0 0
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b b b 0 0
0 b a a 0 c
b 0 b 0 0 0
b 0 a c 0 c
b b 0 b 0 0
b b c a 0 c
0 a a a 0 0
0 a b b 0 c
0 c c c 0 0
0 c 0 0 0 c
b a c a 0 0
b a 0 b 0 c
b c a c 0 0
b c b 0 0 c
a 0 a 0 0 0
a 0 b c 0 c
a b c b 0 0
a b 0 a 0 c
c 0 c 0 0 0
c 0 0 c 0 c
c b a b 0 0
c b b a 0 c
a a 0 a 0 0
a a c b 0 c
a c b c 0 0
a c a 0 0 c
c a b a 0 0
c a a b 0 c
c c 0 c 0 0
c c c 0 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 8x3 + 15x4 + 4x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c

Is it a nice code?: No

Generator Matrix-1575

a 0 a 0 0 0
0 a a a 0 0
b 0 b 0 0 0
0 b b b 0 0
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b b b 0 0
0 b a a c 0
b 0 b 0 0 0
b 0 a c c 0
b b 0 b 0 0
b b c a c 0
0 a a a 0 0
0 a b b c 0
0 c c c 0 0
0 c 0 0 c 0
b a c a 0 0
b a 0 b c 0
b c a c 0 0
b c b 0 c 0
a 0 a 0 0 0
a 0 b c c 0
a b c b 0 0
a b 0 a c 0
c 0 c 0 0 0
c 0 0 c c 0
c b a b 0 0
c b b a c 0
a a 0 a 0 0
a a c b c 0
a c b c 0 0
a c a 0 c 0
c a b a 0 0
c a a b c 0
c c 0 c 0 0
c c c 0 c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 8x3 + 15x4 + 4x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c

Is it a nice code?: No

Generator Matrix-1576

a 0 a 0 0 0
0 a a a 0 0
b 0 b 0 0 0
0 b b b 0 0
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b b b 0 0
0 b a a c c
b 0 b 0 0 0
b 0 a c c c
b b 0 b 0 0
b b c a c c
0 a a a 0 0
0 a b b c c
0 c c c 0 0
0 c 0 0 c c
b a c a 0 0
b a 0 b c c
b c a c 0 0
b c b 0 c c
a 0 a 0 0 0
a 0 b c c c
a b c b 0 0
a b 0 a c c
c 0 c 0 0 0
c 0 0 c c c
c b a b 0 0
c b b a c c
a a 0 a 0 0
a a c b c c
a c b c 0 0
a c a 0 c c
c a b a 0 0
c a a b c c
c c 0 c 0 0
c c c 0 c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 7x3 + 8x4 + 9x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)3 (X_b)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)4 (X_b)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_b)3 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)4 (X_a)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)3 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c

Is it a nice code?: No

Generator Matrix-1577

a 0 a 0 0 0
0 a a a 0 a
b 0 b 0 0 0
0 b b b 0 b
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b b b 0 b
0 b a b 0 b
b 0 b 0 0 0
b 0 a 0 0 0
b b 0 b 0 b
b b c b 0 b
0 a a a 0 a
0 a b a 0 a
0 c c c 0 c
0 c 0 c 0 c
b a c a 0 a
b a 0 a 0 a
b c a c 0 c
b c b c 0 c
a 0 a 0 0 0
a 0 b 0 0 0
a b c b 0 b
a b 0 b 0 b
c 0 c 0 0 0
c 0 0 0 0 0
c b a b 0 b
c b b b 0 b
a a 0 a 0 a
a a c a 0 a
a c b c 0 c
a c a c 0 c
c a b a 0 a
c a a a 0 a
c c 0 c 0 c
c c c c 0 c

dmin: 1
Weight Enumerator: 1x0 + 2x1 + 5x2 + 1x3 + 10x4 + 13x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)2 (X_b)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)4 (X_b)2 + (X_0)4 (X_a)1 (X_b)1 + (X_0)2 (X_b)4 + (X_0)1 (X_b)4 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_b)2 (X_c)3 + (X_0)4 (X_a)2 + (X_0)4 (X_a)1 (X_b)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)1 (X_b)3 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_b)4 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)4 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)2 (X_c)3 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)4 (X_c)1 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0

Is it a nice code?: No

Generator Matrix-1578

a 0 a 0 0 0
0 a a a 0 a
b 0 b 0 0 0
0 b b b 0 b
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b b b 0 b
0 b a b 0 a
b 0 b 0 0 0
b 0 a 0 0 c
b b 0 b 0 b
b b c b 0 a
0 a a a 0 a
0 a b a 0 b
0 c c c 0 c
0 c 0 c 0 0
b a c a 0 a
b a 0 a 0 b
b c a c 0 c
b c b c 0 0
a 0 a 0 0 0
a 0 b 0 0 c
a b c b 0 b
a b 0 b 0 a
c 0 c 0 0 0
c 0 0 0 0 c
c b a b 0 b
c b b b 0 a
a a 0 a 0 a
a a c a 0 b
a c b c 0 c
a c a c 0 0
c a b a 0 a
c a a a 0 b
c c 0 c 0 c
c c c c 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 6x2 + 2x3 + 13x4 + 10x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)4 (X_b)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_b)2 (X_c)2 + (X_0)4 (X_a)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0

Is it a nice code?: No

Generator Matrix-1579

a 0 a 0 0 0
0 a a a 0 a
b 0 b 0 0 0
0 b b b 0 b
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b b b 0 b
0 b a b c b
b 0 b 0 0 0
b 0 a 0 c 0
b b 0 b 0 b
b b c b c b
0 a a a 0 a
0 a b a c a
0 c c c 0 c
0 c 0 c c c
b a c a 0 a
b a 0 a c a
b c a c 0 c
b c b c c c
a 0 a 0 0 0
a 0 b 0 c 0
a b c b 0 b
a b 0 b c b
c 0 c 0 0 0
c 0 0 0 c 0
c b a b 0 b
c b b b c b
a a 0 a 0 a
a a c a c a
a c b c 0 c
a c a c c c
c a b a 0 a
c a a a c a
c c 0 c 0 c
c c c c c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 5x2 + 2x3 + 7x4 + 10x5 + 7x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)4 (X_b)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_b)4 + (X_b)4 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_b)2 (X_c)4 + (X_0)4 (X_a)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_b)4 (X_c)2 + (X_0)2 (X_a)4 + (X_a)4 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_a)2 (X_c)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)4 (X_c)2 + (X_0)2 (X_c)4 + (X_c)6

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0

Is it a nice code?: No

Generator Matrix-1580

a 0 a 0 0 0
0 a a a 0 a
b 0 b 0 0 0
0 b b b 0 b
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b b b 0 b
0 b a b c a
b 0 b 0 0 0
b 0 a 0 c c
b b 0 b 0 b
b b c b c a
0 a a a 0 a
0 a b a c b
0 c c c 0 c
0 c 0 c c 0
b a c a 0 a
b a 0 a c b
b c a c 0 c
b c b c c 0
a 0 a 0 0 0
a 0 b 0 c c
a b c b 0 b
a b 0 b c a
c 0 c 0 0 0
c 0 0 0 c c
c b a b 0 b
c b b b c a
a a 0 a 0 a
a a c a c b
a c b c 0 c
a c a c c 0
c a b a 0 a
c a a a c b
c c 0 c 0 c
c c c c c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 3x3 + 8x4 + 13x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_b)4 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_b)2 (X_c)3 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)4 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)2 (X_c)3 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0

Is it a nice code?: No

Generator Matrix-1581

a 0 a 0 0 0
0 a a a 0 a
b 0 b 0 0 0
0 b b b 0 b
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b b b 0 b
0 b a a 0 b
b 0 b 0 0 0
b 0 a c 0 0
b b 0 b 0 b
b b c a 0 b
0 a a a 0 a
0 a b b 0 a
0 c c c 0 c
0 c 0 0 0 c
b a c a 0 a
b a 0 b 0 a
b c a c 0 c
b c b 0 0 c
a 0 a 0 0 0
a 0 b c 0 0
a b c b 0 b
a b 0 a 0 b
c 0 c 0 0 0
c 0 0 c 0 0
c b a b 0 b
c b b a 0 b
a a 0 a 0 a
a a c b 0 a
a c b c 0 c
a c a 0 0 c
c a b a 0 a
c a a b 0 a
c c 0 c 0 c
c c c 0 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 6x2 + 2x3 + 13x4 + 10x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)4 (X_b)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_b)2 (X_c)2 + (X_0)4 (X_a)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0

Is it a nice code?: No

Generator Matrix-1582

a 0 a 0 0 0
0 a a a 0 a
b 0 b 0 0 0
0 b b b 0 b
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b b b 0 b
0 b a a 0 a
b 0 b 0 0 0
b 0 a c 0 c
b b 0 b 0 b
b b c a 0 a
0 a a a 0 a
0 a b b 0 b
0 c c c 0 c
0 c 0 0 0 0
b a c a 0 a
b a 0 b 0 b
b c a c 0 c
b c b 0 0 0
a 0 a 0 0 0
a 0 b c 0 c
a b c b 0 b
a b 0 a 0 a
c 0 c 0 0 0
c 0 0 c 0 c
c b a b 0 b
c b b a 0 a
a a 0 a 0 a
a a c b 0 b
a c b c 0 c
a c a 0 0 0
c a b a 0 a
c a a b 0 b
c c 0 c 0 c
c c c 0 0 0

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 3x2 + 5x3 + 12x4 + 10x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)2 (X_b)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_b)2 (X_c)1 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)3 (X_b)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_a)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0

Is it a nice code?: No

Generator Matrix-1583

a 0 a 0 0 0
0 a a a 0 a
b 0 b 0 0 0
0 b b b 0 b
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b b b 0 b
0 b a a c b
b 0 b 0 0 0
b 0 a c c 0
b b 0 b 0 b
b b c a c b
0 a a a 0 a
0 a b b c a
0 c c c 0 c
0 c 0 0 c c
b a c a 0 a
b a 0 b c a
b c a c 0 c
b c b 0 c c
a 0 a 0 0 0
a 0 b c c 0
a b c b 0 b
a b 0 a c b
c 0 c 0 0 0
c 0 0 c c 0
c b a b 0 b
c b b a c b
a a 0 a 0 a
a a c b c a
a c b c 0 c
a c a 0 c c
c a b a 0 a
c a a b c a
c c 0 c 0 c
c c c 0 c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 3x3 + 8x4 + 13x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_b)4 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_b)2 (X_c)3 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)4 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)2 (X_c)3 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0

Is it a nice code?: No

Generator Matrix-1584

a 0 a 0 0 0
0 a a a 0 a
b 0 b 0 0 0
0 b b b 0 b
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b b b 0 b
0 b a a c a
b 0 b 0 0 0
b 0 a c c c
b b 0 b 0 b
b b c a c a
0 a a a 0 a
0 a b b c b
0 c c c 0 c
0 c 0 0 c 0
b a c a 0 a
b a 0 b c b
b c a c 0 c
b c b 0 c 0
a 0 a 0 0 0
a 0 b c c c
a b c b 0 b
a b 0 a c a
c 0 c 0 0 0
c 0 0 c c c
c b a b 0 b
c b b a c a
a a 0 a 0 a
a a c b c b
a c b c 0 c
a c a 0 c 0
c a b a 0 a
c a a b c b
c c 0 c 0 c
c c c 0 c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 0x3 + 11x4 + 12x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)2 (X_b)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)4 (X_b)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_b)4 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_b)2 (X_c)2 + (X_0)4 (X_a)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0

Is it a nice code?: No

Generator Matrix-1585

a 0 a 0 0 0
0 a a a a 0
b 0 b 0 0 0
0 b b b b 0
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b b b b 0
0 b a b b 0
b 0 b 0 0 0
b 0 a 0 0 0
b b 0 b b 0
b b c b b 0
0 a a a a 0
0 a b a a 0
0 c c c c 0
0 c 0 c c 0
b a c a a 0
b a 0 a a 0
b c a c c 0
b c b c c 0
a 0 a 0 0 0
a 0 b 0 0 0
a b c b b 0
a b 0 b b 0
c 0 c 0 0 0
c 0 0 0 0 0
c b a b b 0
c b b b b 0
a a 0 a a 0
a a c a a 0
a c b c c 0
a c a c c 0
c a b a a 0
c a a a a 0
c c 0 c c 0
c c c c c 0

dmin: 1
Weight Enumerator: 1x0 + 2x1 + 5x2 + 1x3 + 10x4 + 13x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)2 (X_b)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)4 (X_b)2 + (X_0)4 (X_a)1 (X_b)1 + (X_0)2 (X_b)4 + (X_0)1 (X_b)4 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_b)2 (X_c)3 + (X_0)4 (X_a)2 + (X_0)4 (X_a)1 (X_b)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)1 (X_b)3 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_b)4 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)4 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)2 (X_c)3 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)4 (X_c)1 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c

Is it a nice code?: No

Generator Matrix-1586

a 0 a 0 0 0
0 a a a a 0
b 0 b 0 0 0
0 b b b b 0
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b b b b 0
0 b a b b c
b 0 b 0 0 0
b 0 a 0 0 c
b b 0 b b 0
b b c b b c
0 a a a a 0
0 a b a a c
0 c c c c 0
0 c 0 c c c
b a c a a 0
b a 0 a a c
b c a c c 0
b c b c c c
a 0 a 0 0 0
a 0 b 0 0 c
a b c b b 0
a b 0 b b c
c 0 c 0 0 0
c 0 0 0 0 c
c b a b b 0
c b b b b c
a a 0 a a 0
a a c a a c
a c b c c 0
a c a c c c
c a b a a 0
c a a a a c
c c 0 c c 0
c c c c c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 5x2 + 2x3 + 7x4 + 10x5 + 7x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)4 (X_b)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_b)4 + (X_b)4 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_b)2 (X_c)4 + (X_0)4 (X_a)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_b)4 (X_c)2 + (X_0)2 (X_a)4 + (X_a)4 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_a)2 (X_c)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)4 (X_c)2 + (X_0)2 (X_c)4 + (X_c)6

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c

Is it a nice code?: No

Generator Matrix-1587

a 0 a 0 0 0
0 a a a a 0
b 0 b 0 0 0
0 b b b b 0
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b b b b 0
0 b a b a 0
b 0 b 0 0 0
b 0 a 0 c 0
b b 0 b b 0
b b c b a 0
0 a a a a 0
0 a b a b 0
0 c c c c 0
0 c 0 c 0 0
b a c a a 0
b a 0 a b 0
b c a c c 0
b c b c 0 0
a 0 a 0 0 0
a 0 b 0 c 0
a b c b b 0
a b 0 b a 0
c 0 c 0 0 0
c 0 0 0 c 0
c b a b b 0
c b b b a 0
a a 0 a a 0
a a c a b 0
a c b c c 0
a c a c 0 0
c a b a a 0
c a a a b 0
c c 0 c c 0
c c c c 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 6x2 + 2x3 + 13x4 + 10x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)4 (X_b)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_b)2 (X_c)2 + (X_0)4 (X_a)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c

Is it a nice code?: No

Generator Matrix-1588

a 0 a 0 0 0
0 a a a a 0
b 0 b 0 0 0
0 b b b b 0
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b b b b 0
0 b a b a c
b 0 b 0 0 0
b 0 a 0 c c
b b 0 b b 0
b b c b a c
0 a a a a 0
0 a b a b c
0 c c c c 0
0 c 0 c 0 c
b a c a a 0
b a 0 a b c
b c a c c 0
b c b c 0 c
a 0 a 0 0 0
a 0 b 0 c c
a b c b b 0
a b 0 b a c
c 0 c 0 0 0
c 0 0 0 c c
c b a b b 0
c b b b a c
a a 0 a a 0
a a c a b c
a c b c c 0
a c a c 0 c
c a b a a 0
c a a a b c
c c 0 c c 0
c c c c 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 3x3 + 8x4 + 13x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_b)4 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_b)2 (X_c)3 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)4 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)2 (X_c)3 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c

Is it a nice code?: No

Generator Matrix-1589

a 0 a 0 0 0
0 a a a a 0
b 0 b 0 0 0
0 b b b b 0
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b b b b 0
0 b a a b 0
b 0 b 0 0 0
b 0 a c 0 0
b b 0 b b 0
b b c a b 0
0 a a a a 0
0 a b b a 0
0 c c c c 0
0 c 0 0 c 0
b a c a a 0
b a 0 b a 0
b c a c c 0
b c b 0 c 0
a 0 a 0 0 0
a 0 b c 0 0
a b c b b 0
a b 0 a b 0
c 0 c 0 0 0
c 0 0 c 0 0
c b a b b 0
c b b a b 0
a a 0 a a 0
a a c b a 0
a c b c c 0
a c a 0 c 0
c a b a a 0
c a a b a 0
c c 0 c c 0
c c c 0 c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 6x2 + 2x3 + 13x4 + 10x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)4 (X_b)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_b)2 (X_c)2 + (X_0)4 (X_a)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c

Is it a nice code?: No

Generator Matrix-1590

a 0 a 0 0 0
0 a a a a 0
b 0 b 0 0 0
0 b b b b 0
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b b b b 0
0 b a a b c
b 0 b 0 0 0
b 0 a c 0 c
b b 0 b b 0
b b c a b c
0 a a a a 0
0 a b b a c
0 c c c c 0
0 c 0 0 c c
b a c a a 0
b a 0 b a c
b c a c c 0
b c b 0 c c
a 0 a 0 0 0
a 0 b c 0 c
a b c b b 0
a b 0 a b c
c 0 c 0 0 0
c 0 0 c 0 c
c b a b b 0
c b b a b c
a a 0 a a 0
a a c b a c
a c b c c 0
a c a 0 c c
c a b a a 0
c a a b a c
c c 0 c c 0
c c c 0 c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 3x3 + 8x4 + 13x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_b)4 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_b)2 (X_c)3 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)4 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)2 (X_c)3 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c

Is it a nice code?: No

Generator Matrix-1591

a 0 a 0 0 0
0 a a a a 0
b 0 b 0 0 0
0 b b b b 0
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b b b b 0
0 b a a a 0
b 0 b 0 0 0
b 0 a c c 0
b b 0 b b 0
b b c a a 0
0 a a a a 0
0 a b b b 0
0 c c c c 0
0 c 0 0 0 0
b a c a a 0
b a 0 b b 0
b c a c c 0
b c b 0 0 0
a 0 a 0 0 0
a 0 b c c 0
a b c b b 0
a b 0 a a 0
c 0 c 0 0 0
c 0 0 c c 0
c b a b b 0
c b b a a 0
a a 0 a a 0
a a c b b 0
a c b c c 0
a c a 0 0 0
c a b a a 0
c a a b b 0
c c 0 c c 0
c c c 0 0 0

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 3x2 + 5x3 + 12x4 + 10x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)2 (X_b)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_b)2 (X_c)1 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)3 (X_b)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_a)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c

Is it a nice code?: No

Generator Matrix-1592

a 0 a 0 0 0
0 a a a a 0
b 0 b 0 0 0
0 b b b b 0
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b b b b 0
0 b a a a c
b 0 b 0 0 0
b 0 a c c c
b b 0 b b 0
b b c a a c
0 a a a a 0
0 a b b b c
0 c c c c 0
0 c 0 0 0 c
b a c a a 0
b a 0 b b c
b c a c c 0
b c b 0 0 c
a 0 a 0 0 0
a 0 b c c c
a b c b b 0
a b 0 a a c
c 0 c 0 0 0
c 0 0 c c c
c b a b b 0
c b b a a c
a a 0 a a 0
a a c b b c
a c b c c 0
a c a 0 0 c
c a b a a 0
c a a b b c
c c 0 c c 0
c c c 0 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 0x3 + 11x4 + 12x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)2 (X_b)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)4 (X_b)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_b)4 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_b)2 (X_c)2 + (X_0)4 (X_a)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c

Is it a nice code?: No

Generator Matrix-1593

a 0 a 0 0 0
0 a a a a a
b 0 b 0 0 0
0 b b b b b
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b b b b b
0 b a b b b
b 0 b 0 0 0
b 0 a 0 0 0
b b 0 b b b
b b c b b b
0 a a a a a
0 a b a a a
0 c c c c c
0 c 0 c c c
b a c a a a
b a 0 a a a
b c a c c c
b c b c c c
a 0 a 0 0 0
a 0 b 0 0 0
a b c b b b
a b 0 b b b
c 0 c 0 0 0
c 0 0 0 0 0
c b a b b b
c b b b b b
a a 0 a a a
a a c a a a
a c b c c c
a c a c c c
c a b a a a
c a a a a a
c c 0 c c c
c c c c c c

dmin: 1
Weight Enumerator: 1x0 + 2x1 + 5x2 + 0x3 + 1x4 + 10x5 + 13x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)1 (X_b)5 + (X_0)1 (X_a)1 (X_b)4 + (X_0)4 (X_b)2 + (X_0)4 (X_a)1 (X_b)1 + (X_0)1 (X_b)5 + (X_b)5 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)4 (X_b)1 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_a)4 (X_b)1 (X_c)1 + (X_0)1 (X_a)4 (X_b)1 + (X_a)1 (X_b)1 (X_c)4 + (X_b)2 (X_c)4 + (X_0)4 (X_a)2 + (X_0)4 (X_a)1 (X_b)1 + (X_a)1 (X_b)4 (X_c)1 + (X_0)1 (X_a)1 (X_b)4 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_a)1 (X_b)4 (X_c)1 + (X_b)5 (X_c)1 + (X_0)1 (X_a)5 + (X_a)5 (X_c)1 + (X_a)1 (X_b)1 (X_c)4 + (X_a)2 (X_c)4 + (X_a)4 (X_b)1 (X_c)1 + (X_a)5 (X_c)1 + (X_0)1 (X_c)5 + (X_c)6

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1594

a 0 a 0 0 0
0 a a a a a
b 0 b 0 0 0
0 b b b b b
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b b b b b
0 b a b b a
b 0 b 0 0 0
b 0 a 0 0 c
b b 0 b b b
b b c b b a
0 a a a a a
0 a b a a b
0 c c c c c
0 c 0 c c 0
b a c a a a
b a 0 a a b
b c a c c c
b c b c c 0
a 0 a 0 0 0
a 0 b 0 0 c
a b c b b b
a b 0 b b a
c 0 c 0 0 0
c 0 0 0 0 c
c b a b b b
c b b b b a
a a 0 a a a
a a c a a b
a c b c c c
a c a c c 0
c a b a a a
c a a a a b
c c 0 c c c
c c c c c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 5x2 + 3x3 + 0x4 + 13x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)1 (X_b)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)4 (X_b)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_b)5 + (X_a)1 (X_b)4 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_a)4 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_a)1 (X_b)1 (X_c)4 + (X_0)1 (X_b)2 (X_c)3 + (X_0)4 (X_a)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_a)1 (X_b)4 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_a)1 (X_b)4 (X_c)1 + (X_a)1 (X_b)4 (X_c)1 + (X_0)1 (X_a)5 + (X_a)4 (X_b)1 (X_c)1 + (X_a)1 (X_b)1 (X_c)4 + (X_0)1 (X_a)2 (X_c)3 + (X_a)4 (X_b)1 (X_c)1 + (X_a)4 (X_b)1 (X_c)1 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1595

a 0 a 0 0 0
0 a a a a a
b 0 b 0 0 0
0 b b b b b
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b b b b b
0 b a b a b
b 0 b 0 0 0
b 0 a 0 c 0
b b 0 b b b
b b c b a b
0 a a a a a
0 a b a b a
0 c c c c c
0 c 0 c 0 c
b a c a a a
b a 0 a b a
b c a c c c
b c b c 0 c
a 0 a 0 0 0
a 0 b 0 c 0
a b c b b b
a b 0 b a b
c 0 c 0 0 0
c 0 0 0 c 0
c b a b b b
c b b b a b
a a 0 a a a
a a c a b a
a c b c c c
a c a c 0 c
c a b a a a
c a a a b a
c c 0 c c c
c c c c 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 5x2 + 3x3 + 0x4 + 13x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)1 (X_b)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)4 (X_b)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_b)5 + (X_a)1 (X_b)4 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_a)4 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_a)1 (X_b)1 (X_c)4 + (X_0)1 (X_b)2 (X_c)3 + (X_0)4 (X_a)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_a)1 (X_b)4 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_a)1 (X_b)4 (X_c)1 + (X_a)1 (X_b)4 (X_c)1 + (X_0)1 (X_a)5 + (X_a)4 (X_b)1 (X_c)1 + (X_a)1 (X_b)1 (X_c)4 + (X_0)1 (X_a)2 (X_c)3 + (X_a)4 (X_b)1 (X_c)1 + (X_a)4 (X_b)1 (X_c)1 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1596

a 0 a 0 0 0
0 a a a a a
b 0 b 0 0 0
0 b b b b b
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b b b b b
0 b a b a a
b 0 b 0 0 0
b 0 a 0 c c
b b 0 b b b
b b c b a a
0 a a a a a
0 a b a b b
0 c c c c c
0 c 0 c 0 0
b a c a a a
b a 0 a b b
b c a c c c
b c b c 0 0
a 0 a 0 0 0
a 0 b 0 c c
a b c b b b
a b 0 b a a
c 0 c 0 0 0
c 0 0 0 c c
c b a b b b
c b b b a a
a a 0 a a a
a a c a b b
a c b c c c
a c a c 0 0
c a b a a a
c a a a b b
c c 0 c c c
c c c c 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 2x3 + 5x4 + 10x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)1 (X_b)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_b)5 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2 + (X_a)4 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_a)1 (X_b)1 (X_c)4 + (X_0)2 (X_b)2 (X_c)2 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_a)1 (X_b)4 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_a)1 (X_b)4 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)5 + (X_a)3 (X_b)2 (X_c)1 + (X_a)1 (X_b)1 (X_c)4 + (X_0)2 (X_a)2 (X_c)2 + (X_a)4 (X_b)1 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1597

a 0 a 0 0 0
0 a a a a a
b 0 b 0 0 0
0 b b b b b
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b b b b b
0 b a a b b
b 0 b 0 0 0
b 0 a c 0 0
b b 0 b b b
b b c a b b
0 a a a a a
0 a b b a a
0 c c c c c
0 c 0 0 c c
b a c a a a
b a 0 b a a
b c a c c c
b c b 0 c c
a 0 a 0 0 0
a 0 b c 0 0
a b c b b b
a b 0 a b b
c 0 c 0 0 0
c 0 0 c 0 0
c b a b b b
c b b a b b
a a 0 a a a
a a c b a a
a c b c c c
a c a 0 c c
c a b a a a
c a a b a a
c c 0 c c c
c c c 0 c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 5x2 + 3x3 + 0x4 + 13x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)1 (X_b)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)4 (X_b)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_b)5 + (X_a)1 (X_b)4 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_a)4 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_a)1 (X_b)1 (X_c)4 + (X_0)1 (X_b)2 (X_c)3 + (X_0)4 (X_a)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_a)1 (X_b)4 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_a)1 (X_b)4 (X_c)1 + (X_a)1 (X_b)4 (X_c)1 + (X_0)1 (X_a)5 + (X_a)4 (X_b)1 (X_c)1 + (X_a)1 (X_b)1 (X_c)4 + (X_0)1 (X_a)2 (X_c)3 + (X_a)4 (X_b)1 (X_c)1 + (X_a)4 (X_b)1 (X_c)1 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1598

a 0 a 0 0 0
0 a a a a a
b 0 b 0 0 0
0 b b b b b
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b b b b b
0 b a a b a
b 0 b 0 0 0
b 0 a c 0 c
b b 0 b b b
b b c a b a
0 a a a a a
0 a b b a b
0 c c c c c
0 c 0 0 c 0
b a c a a a
b a 0 b a b
b c a c c c
b c b 0 c 0
a 0 a 0 0 0
a 0 b c 0 c
a b c b b b
a b 0 a b a
c 0 c 0 0 0
c 0 0 c 0 c
c b a b b b
c b b a b a
a a 0 a a a
a a c b a b
a c b c c c
a c a 0 c 0
c a b a a a
c a a b a b
c c 0 c c c
c c c 0 c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 2x3 + 5x4 + 10x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)1 (X_b)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_b)5 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2 + (X_a)4 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_a)1 (X_b)1 (X_c)4 + (X_0)2 (X_b)2 (X_c)2 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_a)1 (X_b)4 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_a)1 (X_b)4 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)5 + (X_a)3 (X_b)2 (X_c)1 + (X_a)1 (X_b)1 (X_c)4 + (X_0)2 (X_a)2 (X_c)2 + (X_a)4 (X_b)1 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1599

a 0 a 0 0 0
0 a a a a a
b 0 b 0 0 0
0 b b b b b
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b b b b b
0 b a a a b
b 0 b 0 0 0
b 0 a c c 0
b b 0 b b b
b b c a a b
0 a a a a a
0 a b b b a
0 c c c c c
0 c 0 0 0 c
b a c a a a
b a 0 b b a
b c a c c c
b c b 0 0 c
a 0 a 0 0 0
a 0 b c c 0
a b c b b b
a b 0 a a b
c 0 c 0 0 0
c 0 0 c c 0
c b a b b b
c b b a a b
a a 0 a a a
a a c b b a
a c b c c c
a c a 0 0 c
c a b a a a
c a a b b a
c c 0 c c c
c c c 0 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 2x3 + 5x4 + 10x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)1 (X_b)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_b)5 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2 + (X_a)4 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_a)1 (X_b)1 (X_c)4 + (X_0)2 (X_b)2 (X_c)2 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_a)1 (X_b)4 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_a)1 (X_b)4 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)5 + (X_a)3 (X_b)2 (X_c)1 + (X_a)1 (X_b)1 (X_c)4 + (X_0)2 (X_a)2 (X_c)2 + (X_a)4 (X_b)1 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1600

a 0 a 0 0 0
0 a a a a a
b 0 b 0 0 0
0 b b b b b
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b b b b b
0 b a a a a
b 0 b 0 0 0
b 0 a c c c
b b 0 b b b
b b c a a a
0 a a a a a
0 a b b b b
0 c c c c c
0 c 0 0 0 0
b a c a a a
b a 0 b b b
b c a c c c
b c b 0 0 0
a 0 a 0 0 0
a 0 b c c c
a b c b b b
a b 0 a a a
c 0 c 0 0 0
c 0 0 c c c
c b a b b b
c b b a a a
a a 0 a a a
a a c b b b
a c b c c c
a c a 0 0 0
c a b a a a
c a a b b b
c c 0 c c c
c c c 0 0 0

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 3x2 + 3x3 + 2x4 + 12x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)1 (X_b)5 + (X_0)1 (X_a)4 (X_b)1 + (X_0)4 (X_b)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_b)5 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)1 (X_b)4 + (X_0)1 (X_c)5 + (X_0)5 (X_c)1 + (X_a)4 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)4 + (X_a)1 (X_b)1 (X_c)4 + (X_0)3 (X_b)2 (X_c)1 + (X_0)4 (X_a)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_a)1 (X_b)4 (X_c)1 + (X_0)1 (X_a)4 (X_b)1 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_a)1 (X_b)4 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)5 + (X_a)2 (X_b)3 (X_c)1 + (X_a)1 (X_b)1 (X_c)4 + (X_0)3 (X_a)2 (X_c)1 + (X_a)4 (X_b)1 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1601

a 0 a 0 0 a
0 a a 0 0 0
b 0 b 0 0 b
0 b b 0 0 0
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b b 0 0 0
0 b a 0 0 0
b 0 b 0 0 b
b 0 a 0 0 b
b b 0 0 0 b
b b c 0 0 b
0 a a 0 0 0
0 a b 0 0 0
0 c c 0 0 0
0 c 0 0 0 0
b a c 0 0 b
b a 0 0 0 b
b c a 0 0 b
b c b 0 0 b
a 0 a 0 0 a
a 0 b 0 0 a
a b c 0 0 a
a b 0 0 0 a
c 0 c 0 0 c
c 0 0 0 0 c
c b a 0 0 c
c b b 0 0 c
a a 0 0 0 a
a a c 0 0 a
a c b 0 0 a
a c a 0 0 a
c a b 0 0 c
c a a 0 0 c
c c 0 0 0 c
c c c 0 0 c

dmin: 1
Weight Enumerator: 1x0 + 2x1 + 6x2 + 10x3 + 13x4 + 0x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)4 (X_b)2 + (X_0)4 (X_a)1 (X_b)1 + (X_0)3 (X_b)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)3 (X_b)3 + (X_0)2 (X_b)3 (X_c)1 + (X_0)4 (X_a)2 + (X_0)4 (X_a)1 (X_b)1 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_a)1 (X_b)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_b)3 (X_c)1 + (X_0)3 (X_a)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_a)2 (X_b)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)3 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)3 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 0 a 0 0
0 0 0 a a 0
0 0 0 a b 0
0 0 0 a c 0
0 0 0 b 0 0
0 0 0 b a 0
0 0 0 b b 0
0 0 0 b c 0
0 0 0 c 0 0
0 0 0 c a 0
0 0 0 c b 0
0 0 0 c c 0

Is it a nice code?: No

Generator Matrix-1602

a 0 a 0 0 a
0 a a 0 0 0
b 0 b 0 0 b
0 b b 0 0 0
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b b 0 0 0
0 b a 0 0 c
b 0 b 0 0 b
b 0 a 0 0 a
b b 0 0 0 b
b b c 0 0 a
0 a a 0 0 0
0 a b 0 0 c
0 c c 0 0 0
0 c 0 0 0 c
b a c 0 0 b
b a 0 0 0 a
b c a 0 0 b
b c b 0 0 a
a 0 a 0 0 a
a 0 b 0 0 b
a b c 0 0 a
a b 0 0 0 b
c 0 c 0 0 c
c 0 0 0 0 0
c b a 0 0 c
c b b 0 0 0
a a 0 0 0 a
a a c 0 0 b
a c b 0 0 a
a c a 0 0 b
c a b 0 0 c
c a a 0 0 0
c c 0 0 0 c
c c c 0 0 0

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 5x2 + 15x3 + 10x4 + 0x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_b)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)3 (X_b)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)4 (X_a)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_a)2 (X_b)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_a)1 (X_b)2 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_a)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 0 a 0 0
0 0 0 a a 0
0 0 0 a b 0
0 0 0 a c 0
0 0 0 b 0 0
0 0 0 b a 0
0 0 0 b b 0
0 0 0 b c 0
0 0 0 c 0 0
0 0 0 c a 0
0 0 0 c b 0
0 0 0 c c 0

Is it a nice code?: No

Generator Matrix-1603

a 0 a 0 0 a
0 a a 0 0 0
b 0 b 0 0 b
0 b b 0 0 0
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b b 0 0 0
0 b a 0 c 0
b 0 b 0 0 b
b 0 a 0 c b
b b 0 0 0 b
b b c 0 c b
0 a a 0 0 0
0 a b 0 c 0
0 c c 0 0 0
0 c 0 0 c 0
b a c 0 0 b
b a 0 0 c b
b c a 0 0 b
b c b 0 c b
a 0 a 0 0 a
a 0 b 0 c a
a b c 0 0 a
a b 0 0 c a
c 0 c 0 0 c
c 0 0 0 c c
c b a 0 0 c
c b b 0 c c
a a 0 0 0 a
a a c 0 c a
a c b 0 0 a
a c a 0 c a
c a b 0 0 c
c a a 0 c c
c c 0 0 0 c
c c c 0 c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 5x2 + 9x3 + 10x4 + 7x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_b)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_b)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)4 (X_a)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 0 a 0 0
0 0 0 a a 0
0 0 0 a b 0
0 0 0 a c 0
0 0 0 b 0 0
0 0 0 b a 0
0 0 0 b b 0
0 0 0 b c 0
0 0 0 c 0 0
0 0 0 c a 0
0 0 0 c b 0
0 0 0 c c 0

Is it a nice code?: No

Generator Matrix-1604

a 0 a 0 0 a
0 a a 0 0 0
b 0 b 0 0 b
0 b b 0 0 0
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b b 0 0 0
0 b a 0 c c
b 0 b 0 0 b
b 0 a 0 c a
b b 0 0 0 b
b b c 0 c a
0 a a 0 0 0
0 a b 0 c c
0 c c 0 0 0
0 c 0 0 c c
b a c 0 0 b
b a 0 0 c a
b c a 0 0 b
b c b 0 c a
a 0 a 0 0 a
a 0 b 0 c b
a b c 0 0 a
a b 0 0 c b
c 0 c 0 0 c
c 0 0 0 c 0
c b a 0 0 c
c b b 0 c 0
a a 0 0 0 a
a a c 0 c b
a c b 0 0 a
a c a 0 c b
c a b 0 0 c
c a a 0 c 0
c c 0 0 0 c
c c c 0 c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 8x3 + 15x4 + 4x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 0 a 0 0
0 0 0 a a 0
0 0 0 a b 0
0 0 0 a c 0
0 0 0 b 0 0
0 0 0 b a 0
0 0 0 b b 0
0 0 0 b c 0
0 0 0 c 0 0
0 0 0 c a 0
0 0 0 c b 0
0 0 0 c c 0

Is it a nice code?: No

Generator Matrix-1605

a 0 a 0 0 a
0 a a 0 0 0
b 0 b 0 0 b
0 b b 0 0 0
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b b 0 0 0
0 b a c 0 0
b 0 b 0 0 b
b 0 a c 0 b
b b 0 0 0 b
b b c c 0 b
0 a a 0 0 0
0 a b c 0 0
0 c c 0 0 0
0 c 0 c 0 0
b a c 0 0 b
b a 0 c 0 b
b c a 0 0 b
b c b c 0 b
a 0 a 0 0 a
a 0 b c 0 a
a b c 0 0 a
a b 0 c 0 a
c 0 c 0 0 c
c 0 0 c 0 c
c b a 0 0 c
c b b c 0 c
a a 0 0 0 a
a a c c 0 a
a c b 0 0 a
a c a c 0 a
c a b 0 0 c
c a a c 0 c
c c 0 0 0 c
c c c c 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 5x2 + 9x3 + 10x4 + 7x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_b)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_b)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)4 (X_a)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 0 a 0 0
0 0 0 a a 0
0 0 0 a b 0
0 0 0 a c 0
0 0 0 b 0 0
0 0 0 b a 0
0 0 0 b b 0
0 0 0 b c 0
0 0 0 c 0 0
0 0 0 c a 0
0 0 0 c b 0
0 0 0 c c 0

Is it a nice code?: No

Generator Matrix-1606

a 0 a 0 0 a
0 a a 0 0 0
b 0 b 0 0 b
0 b b 0 0 0
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b b 0 0 0
0 b a c 0 c
b 0 b 0 0 b
b 0 a c 0 a
b b 0 0 0 b
b b c c 0 a
0 a a 0 0 0
0 a b c 0 c
0 c c 0 0 0
0 c 0 c 0 c
b a c 0 0 b
b a 0 c 0 a
b c a 0 0 b
b c b c 0 a
a 0 a 0 0 a
a 0 b c 0 b
a b c 0 0 a
a b 0 c 0 b
c 0 c 0 0 c
c 0 0 c 0 0
c b a 0 0 c
c b b c 0 0
a a 0 0 0 a
a a c c 0 b
a c b 0 0 a
a c a c 0 b
c a b 0 0 c
c a a c 0 0
c c 0 0 0 c
c c c c 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 8x3 + 15x4 + 4x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 0 a 0 0
0 0 0 a a 0
0 0 0 a b 0
0 0 0 a c 0
0 0 0 b 0 0
0 0 0 b a 0
0 0 0 b b 0
0 0 0 b c 0
0 0 0 c 0 0
0 0 0 c a 0
0 0 0 c b 0
0 0 0 c c 0

Is it a nice code?: No

Generator Matrix-1607

a 0 a 0 0 a
0 a a 0 0 0
b 0 b 0 0 b
0 b b 0 0 0
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b b 0 0 0
0 b a c c 0
b 0 b 0 0 b
b 0 a c c b
b b 0 0 0 b
b b c c c b
0 a a 0 0 0
0 a b c c 0
0 c c 0 0 0
0 c 0 c c 0
b a c 0 0 b
b a 0 c c b
b c a 0 0 b
b c b c c b
a 0 a 0 0 a
a 0 b c c a
a b c 0 0 a
a b 0 c c a
c 0 c 0 0 c
c 0 0 c c c
c b a 0 0 c
c b b c c c
a a 0 0 0 a
a a c c c a
a c b 0 0 a
a c a c c a
c a b 0 0 c
c a a c c c
c c 0 0 0 c
c c c c c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 8x3 + 9x4 + 4x5 + 7x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_b)3 + (X_b)3 (X_c)3 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_b)3 (X_c)3 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_b)2 (X_c)4 + (X_0)3 (X_a)3 + (X_a)3 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)3 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_a)2 (X_c)4 + (X_0)3 (X_c)3 + (X_c)6

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 0 a 0 0
0 0 0 a a 0
0 0 0 a b 0
0 0 0 a c 0
0 0 0 b 0 0
0 0 0 b a 0
0 0 0 b b 0
0 0 0 b c 0
0 0 0 c 0 0
0 0 0 c a 0
0 0 0 c b 0
0 0 0 c c 0

Is it a nice code?: No

Generator Matrix-1608

a 0 a 0 0 a
0 a a 0 0 0
b 0 b 0 0 b
0 b b 0 0 0
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b b 0 0 0
0 b a c c c
b 0 b 0 0 b
b 0 a c c a
b b 0 0 0 b
b b c c c a
0 a a 0 0 0
0 a b c c c
0 c c 0 0 0
0 c 0 c c c
b a c 0 0 b
b a 0 c c a
b c a 0 0 b
b c b c c a
a 0 a 0 0 a
a 0 b c c b
a b c 0 0 a
a b 0 c c b
c 0 c 0 0 c
c 0 0 c c 0
c b a 0 0 c
c b b c c 0
a a 0 0 0 a
a a c c c b
a c b 0 0 a
a c a c c b
c a b 0 0 c
c a a c c 0
c c 0 0 0 c
c c c c c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 7x3 + 8x4 + 9x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)4 (X_b)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_b)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_b)3 + (X_a)1 (X_b)2 (X_c)3 + (X_0)4 (X_a)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)3 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 0 a 0 0
0 0 0 a a 0
0 0 0 a b 0
0 0 0 a c 0
0 0 0 b 0 0
0 0 0 b a 0
0 0 0 b b 0
0 0 0 b c 0
0 0 0 c 0 0
0 0 0 c a 0
0 0 0 c b 0
0 0 0 c c 0

Is it a nice code?: No

Generator Matrix-1609

a 0 a 0 0 a
0 a a 0 0 a
b 0 b 0 0 b
0 b b 0 0 b
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b b 0 0 b
0 b a 0 0 b
b 0 b 0 0 b
b 0 a 0 0 b
b b 0 0 0 0
b b c 0 0 0
0 a a 0 0 a
0 a b 0 0 a
0 c c 0 0 c
0 c 0 0 0 c
b a c 0 0 c
b a 0 0 0 c
b c a 0 0 a
b c b 0 0 a
a 0 a 0 0 a
a 0 b 0 0 a
a b c 0 0 c
a b 0 0 0 c
c 0 c 0 0 c
c 0 0 0 0 c
c b a 0 0 a
c b b 0 0 a
a a 0 0 0 0
a a c 0 0 0
a c b 0 0 b
a c a 0 0 b
c a b 0 0 b
c a a 0 0 b
c c 0 0 0 0
c c c 0 0 0

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 5x2 + 15x3 + 10x4 + 0x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)3 (X_b)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)3 (X_b)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)4 (X_b)2 + (X_0)3 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)4 (X_a)2 + (X_0)3 (X_a)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 0 a 0 0
0 0 0 a a 0
0 0 0 a b 0
0 0 0 a c 0
0 0 0 b 0 0
0 0 0 b a 0
0 0 0 b b 0
0 0 0 b c 0
0 0 0 c 0 0
0 0 0 c a 0
0 0 0 c b 0
0 0 0 c c 0

Is it a nice code?: No

Generator Matrix-1610

a 0 a 0 0 a
0 a a 0 0 a
b 0 b 0 0 b
0 b b 0 0 b
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b b 0 0 b
0 b a 0 0 a
b 0 b 0 0 b
b 0 a 0 0 a
b b 0 0 0 0
b b c 0 0 c
0 a a 0 0 a
0 a b 0 0 b
0 c c 0 0 c
0 c 0 0 0 0
b a c 0 0 c
b a 0 0 0 0
b c a 0 0 a
b c b 0 0 b
a 0 a 0 0 a
a 0 b 0 0 b
a b c 0 0 c
a b 0 0 0 0
c 0 c 0 0 c
c 0 0 0 0 0
c b a 0 0 a
c b b 0 0 b
a a 0 0 0 0
a a c 0 0 c
a c b 0 0 b
a c a 0 0 a
c a b 0 0 b
c a a 0 0 a
c c 0 0 0 0
c c c 0 0 c

dmin: 1
Weight Enumerator: 1x0 + 2x1 + 6x2 + 10x3 + 13x4 + 0x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)3 (X_b)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_a)1 (X_b)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_b)3 (X_c)1 + (X_0)3 (X_a)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_a)1 (X_b)1 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_b)3 (X_c)1 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)3 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)3 (X_c)1 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 0 a 0 0
0 0 0 a a 0
0 0 0 a b 0
0 0 0 a c 0
0 0 0 b 0 0
0 0 0 b a 0
0 0 0 b b 0
0 0 0 b c 0
0 0 0 c 0 0
0 0 0 c a 0
0 0 0 c b 0
0 0 0 c c 0

Is it a nice code?: No

Generator Matrix-1611

a 0 a 0 0 a
0 a a 0 0 a
b 0 b 0 0 b
0 b b 0 0 b
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b b 0 0 b
0 b a 0 c b
b 0 b 0 0 b
b 0 a 0 c b
b b 0 0 0 0
b b c 0 c 0
0 a a 0 0 a
0 a b 0 c a
0 c c 0 0 c
0 c 0 0 c c
b a c 0 0 c
b a 0 0 c c
b c a 0 0 a
b c b 0 c a
a 0 a 0 0 a
a 0 b 0 c a
a b c 0 0 c
a b 0 0 c c
c 0 c 0 0 c
c 0 0 0 c c
c b a 0 0 a
c b b 0 c a
a a 0 0 0 0
a a c 0 c 0
a c b 0 0 b
a c a 0 c b
c a b 0 0 b
c a a 0 c b
c c 0 0 0 0
c c c 0 c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 8x3 + 15x4 + 4x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 0 a 0 0
0 0 0 a a 0
0 0 0 a b 0
0 0 0 a c 0
0 0 0 b 0 0
0 0 0 b a 0
0 0 0 b b 0
0 0 0 b c 0
0 0 0 c 0 0
0 0 0 c a 0
0 0 0 c b 0
0 0 0 c c 0

Is it a nice code?: No

Generator Matrix-1612

a 0 a 0 0 a
0 a a 0 0 a
b 0 b 0 0 b
0 b b 0 0 b
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b b 0 0 b
0 b a 0 c a
b 0 b 0 0 b
b 0 a 0 c a
b b 0 0 0 0
b b c 0 c c
0 a a 0 0 a
0 a b 0 c b
0 c c 0 0 c
0 c 0 0 c 0
b a c 0 0 c
b a 0 0 c 0
b c a 0 0 a
b c b 0 c b
a 0 a 0 0 a
a 0 b 0 c b
a b c 0 0 c
a b 0 0 c 0
c 0 c 0 0 c
c 0 0 0 c 0
c b a 0 0 a
c b b 0 c b
a a 0 0 0 0
a a c 0 c c
a c b 0 0 b
a c a 0 c a
c a b 0 0 b
c a a 0 c a
c c 0 0 0 0
c c c 0 c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 5x2 + 9x3 + 10x4 + 7x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)4 (X_b)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_b)3 (X_c)2 + (X_0)4 (X_a)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 0 a 0 0
0 0 0 a a 0
0 0 0 a b 0
0 0 0 a c 0
0 0 0 b 0 0
0 0 0 b a 0
0 0 0 b b 0
0 0 0 b c 0
0 0 0 c 0 0
0 0 0 c a 0
0 0 0 c b 0
0 0 0 c c 0

Is it a nice code?: No

Generator Matrix-1613

a 0 a 0 0 a
0 a a 0 0 a
b 0 b 0 0 b
0 b b 0 0 b
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b b 0 0 b
0 b a c 0 b
b 0 b 0 0 b
b 0 a c 0 b
b b 0 0 0 0
b b c c 0 0
0 a a 0 0 a
0 a b c 0 a
0 c c 0 0 c
0 c 0 c 0 c
b a c 0 0 c
b a 0 c 0 c
b c a 0 0 a
b c b c 0 a
a 0 a 0 0 a
a 0 b c 0 a
a b c 0 0 c
a b 0 c 0 c
c 0 c 0 0 c
c 0 0 c 0 c
c b a 0 0 a
c b b c 0 a
a a 0 0 0 0
a a c c 0 0
a c b 0 0 b
a c a c 0 b
c a b 0 0 b
c a a c 0 b
c c 0 0 0 0
c c c c 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 8x3 + 15x4 + 4x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 0 a 0 0
0 0 0 a a 0
0 0 0 a b 0
0 0 0 a c 0
0 0 0 b 0 0
0 0 0 b a 0
0 0 0 b b 0
0 0 0 b c 0
0 0 0 c 0 0
0 0 0 c a 0
0 0 0 c b 0
0 0 0 c c 0

Is it a nice code?: No

Generator Matrix-1614

a 0 a 0 0 a
0 a a 0 0 a
b 0 b 0 0 b
0 b b 0 0 b
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b b 0 0 b
0 b a c 0 a
b 0 b 0 0 b
b 0 a c 0 a
b b 0 0 0 0
b b c c 0 c
0 a a 0 0 a
0 a b c 0 b
0 c c 0 0 c
0 c 0 c 0 0
b a c 0 0 c
b a 0 c 0 0
b c a 0 0 a
b c b c 0 b
a 0 a 0 0 a
a 0 b c 0 b
a b c 0 0 c
a b 0 c 0 0
c 0 c 0 0 c
c 0 0 c 0 0
c b a 0 0 a
c b b c 0 b
a a 0 0 0 0
a a c c 0 c
a c b 0 0 b
a c a c 0 a
c a b 0 0 b
c a a c 0 a
c c 0 0 0 0
c c c c 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 5x2 + 9x3 + 10x4 + 7x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)4 (X_b)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_b)3 (X_c)2 + (X_0)4 (X_a)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 0 a 0 0
0 0 0 a a 0
0 0 0 a b 0
0 0 0 a c 0
0 0 0 b 0 0
0 0 0 b a 0
0 0 0 b b 0
0 0 0 b c 0
0 0 0 c 0 0
0 0 0 c a 0
0 0 0 c b 0
0 0 0 c c 0

Is it a nice code?: No

Generator Matrix-1615

a 0 a 0 0 a
0 a a 0 0 a
b 0 b 0 0 b
0 b b 0 0 b
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b b 0 0 b
0 b a c c b
b 0 b 0 0 b
b 0 a c c b
b b 0 0 0 0
b b c c c 0
0 a a 0 0 a
0 a b c c a
0 c c 0 0 c
0 c 0 c c c
b a c 0 0 c
b a 0 c c c
b c a 0 0 a
b c b c c a
a 0 a 0 0 a
a 0 b c c a
a b c 0 0 c
a b 0 c c c
c 0 c 0 0 c
c 0 0 c c c
c b a 0 0 a
c b b c c a
a a 0 0 0 0
a a c c c 0
a c b 0 0 b
a c a c c b
c a b 0 0 b
c a a c c b
c c 0 0 0 0
c c c c c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 7x3 + 8x4 + 9x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)4 (X_b)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)4 (X_a)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 0 a 0 0
0 0 0 a a 0
0 0 0 a b 0
0 0 0 a c 0
0 0 0 b 0 0
0 0 0 b a 0
0 0 0 b b 0
0 0 0 b c 0
0 0 0 c 0 0
0 0 0 c a 0
0 0 0 c b 0
0 0 0 c c 0

Is it a nice code?: No

Generator Matrix-1616

a 0 a 0 0 a
0 a a 0 0 a
b 0 b 0 0 b
0 b b 0 0 b
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b b 0 0 b
0 b a c c a
b 0 b 0 0 b
b 0 a c c a
b b 0 0 0 0
b b c c c c
0 a a 0 0 a
0 a b c c b
0 c c 0 0 c
0 c 0 c c 0
b a c 0 0 c
b a 0 c c 0
b c a 0 0 a
b c b c c b
a 0 a 0 0 a
a 0 b c c b
a b c 0 0 c
a b 0 c c 0
c 0 c 0 0 c
c 0 0 c c 0
c b a 0 0 a
c b b c c b
a a 0 0 0 0
a a c c c c
a c b 0 0 b
a c a c c a
c a b 0 0 b
c a a c c a
c c 0 0 0 0
c c c c c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 8x3 + 9x4 + 4x5 + 7x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)3 (X_b)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_b)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)4 (X_b)2 + (X_b)2 (X_c)4 + (X_0)3 (X_a)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_b)3 (X_c)3 + (X_0)3 (X_a)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_b)3 (X_c)3 + (X_0)4 (X_a)2 + (X_a)2 (X_c)4 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)3 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)3 (X_c)3 + (X_0)4 (X_c)2 + (X_c)6

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 0 a 0 0
0 0 0 a a 0
0 0 0 a b 0
0 0 0 a c 0
0 0 0 b 0 0
0 0 0 b a 0
0 0 0 b b 0
0 0 0 b c 0
0 0 0 c 0 0
0 0 0 c a 0
0 0 0 c b 0
0 0 0 c c 0

Is it a nice code?: No

Generator Matrix-1617

a 0 a 0 0 a
0 a a 0 a 0
b 0 b 0 0 b
0 b b 0 b 0
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b b 0 b 0
0 b a 0 b 0
b 0 b 0 0 b
b 0 a 0 0 b
b b 0 0 b b
b b c 0 b b
0 a a 0 a 0
0 a b 0 a 0
0 c c 0 c 0
0 c 0 0 c 0
b a c 0 a b
b a 0 0 a b
b c a 0 c b
b c b 0 c b
a 0 a 0 0 a
a 0 b 0 0 a
a b c 0 b a
a b 0 0 b a
c 0 c 0 0 c
c 0 0 0 0 c
c b a 0 b c
c b b 0 b c
a a 0 0 a a
a a c 0 a a
a c b 0 c a
a c a 0 c a
c a b 0 a c
c a a 0 a c
c c 0 0 c c
c c c 0 c c

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 2x2 + 10x3 + 5x4 + 13x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)3 (X_b)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)3 (X_b)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)2 (X_b)4 + (X_0)1 (X_b)4 (X_c)1 + (X_0)3 (X_a)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)4 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0

Is it a nice code?: No

Generator Matrix-1618

a 0 a 0 0 a
0 a a 0 a 0
b 0 b 0 0 b
0 b b 0 b 0
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b b 0 b 0
0 b a 0 b c
b 0 b 0 0 b
b 0 a 0 0 a
b b 0 0 b b
b b c 0 b a
0 a a 0 a 0
0 a b 0 a c
0 c c 0 c 0
0 c 0 0 c c
b a c 0 a b
b a 0 0 a a
b c a 0 c b
b c b 0 c a
a 0 a 0 0 a
a 0 b 0 0 b
a b c 0 b a
a b 0 0 b b
c 0 c 0 0 c
c 0 0 0 0 0
c b a 0 b c
c b b 0 b 0
a a 0 0 a a
a a c 0 a b
a c b 0 c a
a c a 0 c b
c a b 0 a c
c a a 0 a 0
c c 0 0 c c
c c c 0 c 0

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 1x2 + 9x3 + 10x4 + 10x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_b)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)3 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)3 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0

Is it a nice code?: No

Generator Matrix-1619

a 0 a 0 0 a
0 a a 0 a 0
b 0 b 0 0 b
0 b b 0 b 0
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b b 0 b 0
0 b a 0 a 0
b 0 b 0 0 b
b 0 a 0 c b
b b 0 0 b b
b b c 0 a b
0 a a 0 a 0
0 a b 0 b 0
0 c c 0 c 0
0 c 0 0 0 0
b a c 0 a b
b a 0 0 b b
b c a 0 c b
b c b 0 0 b
a 0 a 0 0 a
a 0 b 0 c a
a b c 0 b a
a b 0 0 a a
c 0 c 0 0 c
c 0 0 0 c c
c b a 0 b c
c b b 0 a c
a a 0 0 a a
a a c 0 b a
a c b 0 c a
a c a 0 0 a
c a b 0 a c
c a a 0 b c
c c 0 0 c c
c c c 0 0 c

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 1x2 + 9x3 + 10x4 + 10x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)3 (X_a)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_b)3 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)3 (X_b)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0

Is it a nice code?: No

Generator Matrix-1620

a 0 a 0 0 a
0 a a 0 a 0
b 0 b 0 0 b
0 b b 0 b 0
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b b 0 b 0
0 b a 0 a c
b 0 b 0 0 b
b 0 a 0 c a
b b 0 0 b b
b b c 0 a a
0 a a 0 a 0
0 a b 0 b c
0 c c 0 c 0
0 c 0 0 0 c
b a c 0 a b
b a 0 0 b a
b c a 0 c b
b c b 0 0 a
a 0 a 0 0 a
a 0 b 0 c b
a b c 0 b a
a b 0 0 a b
c 0 c 0 0 c
c 0 0 0 c 0
c b a 0 b c
c b b 0 a 0
a a 0 0 a a
a a c 0 b b
a c b 0 c a
a c a 0 0 b
c a b 0 a c
c a a 0 b 0
c c 0 0 c c
c c c 0 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 2x2 + 8x3 + 13x4 + 8x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0

Is it a nice code?: No

Generator Matrix-1621

a 0 a 0 0 a
0 a a 0 a 0
b 0 b 0 0 b
0 b b 0 b 0
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b b 0 b 0
0 b a c b 0
b 0 b 0 0 b
b 0 a c 0 b
b b 0 0 b b
b b c c b b
0 a a 0 a 0
0 a b c a 0
0 c c 0 c 0
0 c 0 c c 0
b a c 0 a b
b a 0 c a b
b c a 0 c b
b c b c c b
a 0 a 0 0 a
a 0 b c 0 a
a b c 0 b a
a b 0 c b a
c 0 c 0 0 c
c 0 0 c 0 c
c b a 0 b c
c b b c b c
a a 0 0 a a
a a c c a a
a c b 0 c a
a c a c c a
c a b 0 a c
c a a c a c
c c 0 0 c c
c c c c c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 8x3 + 7x4 + 8x5 + 7x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_b)4 + (X_b)4 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_b)3 (X_c)3 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_b)3 (X_c)3 + (X_0)2 (X_a)4 + (X_a)4 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)3 (X_c)3 + (X_0)2 (X_c)4 + (X_c)6

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0

Is it a nice code?: No

Generator Matrix-1622

a 0 a 0 0 a
0 a a 0 a 0
b 0 b 0 0 b
0 b b 0 b 0
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b b 0 b 0
0 b a c b c
b 0 b 0 0 b
b 0 a c 0 a
b b 0 0 b b
b b c c b a
0 a a 0 a 0
0 a b c a c
0 c c 0 c 0
0 c 0 c c c
b a c 0 a b
b a 0 c a a
b c a 0 c b
b c b c c a
a 0 a 0 0 a
a 0 b c 0 b
a b c 0 b a
a b 0 c b b
c 0 c 0 0 c
c 0 0 c 0 0
c b a 0 b c
c b b c b 0
a a 0 0 a a
a a c c a b
a c b 0 c a
a c a c c b
c a b 0 a c
c a a c a 0
c c 0 0 c c
c c c c c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 7x3 + 6x4 + 13x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_b)4 + (X_a)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)4 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0

Is it a nice code?: No

Generator Matrix-1623

a 0 a 0 0 a
0 a a 0 a 0
b 0 b 0 0 b
0 b b 0 b 0
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b b 0 b 0
0 b a c a 0
b 0 b 0 0 b
b 0 a c c b
b b 0 0 b b
b b c c a b
0 a a 0 a 0
0 a b c b 0
0 c c 0 c 0
0 c 0 c 0 0
b a c 0 a b
b a 0 c b b
b c a 0 c b
b c b c 0 b
a 0 a 0 0 a
a 0 b c c a
a b c 0 b a
a b 0 c a a
c 0 c 0 0 c
c 0 0 c c c
c b a 0 b c
c b b c a c
a a 0 0 a a
a a c c b a
a c b 0 c a
a c a c 0 a
c a b 0 a c
c a a c b c
c c 0 0 c c
c c c c 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 7x3 + 6x4 + 13x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_b)4 + (X_a)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)4 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0

Is it a nice code?: No

Generator Matrix-1624

a 0 a 0 0 a
0 a a 0 a 0
b 0 b 0 0 b
0 b b 0 b 0
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b b 0 b 0
0 b a c a c
b 0 b 0 0 b
b 0 a c c a
b b 0 0 b b
b b c c a a
0 a a 0 a 0
0 a b c b c
0 c c 0 c 0
0 c 0 c 0 c
b a c 0 a b
b a 0 c b a
b c a 0 c b
b c b c 0 a
a 0 a 0 0 a
a 0 b c c b
a b c 0 b a
a b 0 c a b
c 0 c 0 0 c
c 0 0 c c 0
c b a 0 b c
c b b c a 0
a a 0 0 a a
a a c c b b
a c b 0 c a
a c a c 0 b
c a b 0 a c
c a a c b 0
c c 0 0 c c
c c c c 0 0

dmin: 3
Weight Enumerator: 1x0 + 0x1 + 0x2 + 8x3 + 5x4 + 16x5 + 2x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)3 (X_b)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_b)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_b)4 + (X_a)2 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0

Is it a nice code?: No

Generator Matrix-1625

a 0 a 0 0 a
0 a a 0 a a
b 0 b 0 0 b
0 b b 0 b b
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b b 0 b b
0 b a 0 b b
b 0 b 0 0 b
b 0 a 0 0 b
b b 0 0 b 0
b b c 0 b 0
0 a a 0 a a
0 a b 0 a a
0 c c 0 c c
0 c 0 0 c c
b a c 0 a c
b a 0 0 a c
b c a 0 c a
b c b 0 c a
a 0 a 0 0 a
a 0 b 0 0 a
a b c 0 b c
a b 0 0 b c
c 0 c 0 0 c
c 0 0 0 0 c
c b a 0 b a
c b b 0 b a
a a 0 0 a 0
a a c 0 a 0
a c b 0 c b
a c a 0 c b
c a b 0 a b
c a a 0 a b
c c 0 0 c 0
c c c 0 c 0

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 1x2 + 9x3 + 10x4 + 10x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)2 (X_b)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)3 (X_b)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)3 (X_b)3 + (X_0)2 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0

Is it a nice code?: No

Generator Matrix-1626

a 0 a 0 0 a
0 a a 0 a a
b 0 b 0 0 b
0 b b 0 b b
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b b 0 b b
0 b a 0 b a
b 0 b 0 0 b
b 0 a 0 0 a
b b 0 0 b 0
b b c 0 b c
0 a a 0 a a
0 a b 0 a b
0 c c 0 c c
0 c 0 0 c 0
b a c 0 a c
b a 0 0 a 0
b c a 0 c a
b c b 0 c b
a 0 a 0 0 a
a 0 b 0 0 b
a b c 0 b c
a b 0 0 b 0
c 0 c 0 0 c
c 0 0 0 0 0
c b a 0 b a
c b b 0 b b
a a 0 0 a 0
a a c 0 a c
a c b 0 c b
a c a 0 c a
c a b 0 a b
c a a 0 a a
c c 0 0 c 0
c c c 0 c c

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 2x2 + 10x3 + 5x4 + 13x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)3 (X_b)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)3 (X_b)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)2 (X_b)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)1 (X_b)2 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_b)4 (X_c)1 + (X_0)3 (X_a)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)4 (X_c)1 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0

Is it a nice code?: No

Generator Matrix-1627

a 0 a 0 0 a
0 a a 0 a a
b 0 b 0 0 b
0 b b 0 b b
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b b 0 b b
0 b a 0 a b
b 0 b 0 0 b
b 0 a 0 c b
b b 0 0 b 0
b b c 0 a 0
0 a a 0 a a
0 a b 0 b a
0 c c 0 c c
0 c 0 0 0 c
b a c 0 a c
b a 0 0 b c
b c a 0 c a
b c b 0 0 a
a 0 a 0 0 a
a 0 b 0 c a
a b c 0 b c
a b 0 0 a c
c 0 c 0 0 c
c 0 0 0 c c
c b a 0 b a
c b b 0 a a
a a 0 0 a 0
a a c 0 b 0
a c b 0 c b
a c a 0 0 b
c a b 0 a b
c a a 0 b b
c c 0 0 c 0
c c c 0 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 2x2 + 8x3 + 13x4 + 8x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0

Is it a nice code?: No

Generator Matrix-1628

a 0 a 0 0 a
0 a a 0 a a
b 0 b 0 0 b
0 b b 0 b b
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b b 0 b b
0 b a 0 a a
b 0 b 0 0 b
b 0 a 0 c a
b b 0 0 b 0
b b c 0 a c
0 a a 0 a a
0 a b 0 b b
0 c c 0 c c
0 c 0 0 0 0
b a c 0 a c
b a 0 0 b 0
b c a 0 c a
b c b 0 0 b
a 0 a 0 0 a
a 0 b 0 c b
a b c 0 b c
a b 0 0 a 0
c 0 c 0 0 c
c 0 0 0 c 0
c b a 0 b a
c b b 0 a b
a a 0 0 a 0
a a c 0 b c
a c b 0 c b
a c a 0 0 a
c a b 0 a b
c a a 0 b a
c c 0 0 c 0
c c c 0 0 c

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 1x2 + 9x3 + 10x4 + 10x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)2 (X_b)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)1 (X_b)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_b)3 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)2 (X_b)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0

Is it a nice code?: No

Generator Matrix-1629

a 0 a 0 0 a
0 a a 0 a a
b 0 b 0 0 b
0 b b 0 b b
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b b 0 b b
0 b a c b b
b 0 b 0 0 b
b 0 a c 0 b
b b 0 0 b 0
b b c c b 0
0 a a 0 a a
0 a b c a a
0 c c 0 c c
0 c 0 c c c
b a c 0 a c
b a 0 c a c
b c a 0 c a
b c b c c a
a 0 a 0 0 a
a 0 b c 0 a
a b c 0 b c
a b 0 c b c
c 0 c 0 0 c
c 0 0 c 0 c
c b a 0 b a
c b b c b a
a a 0 0 a 0
a a c c a 0
a c b 0 c b
a c a c c b
c a b 0 a b
c a a c a b
c c 0 0 c 0
c c c c c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 7x3 + 6x4 + 13x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_b)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0

Is it a nice code?: No

Generator Matrix-1630

a 0 a 0 0 a
0 a a 0 a a
b 0 b 0 0 b
0 b b 0 b b
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b b 0 b b
0 b a c b a
b 0 b 0 0 b
b 0 a c 0 a
b b 0 0 b 0
b b c c b c
0 a a 0 a a
0 a b c a b
0 c c 0 c c
0 c 0 c c 0
b a c 0 a c
b a 0 c a 0
b c a 0 c a
b c b c c b
a 0 a 0 0 a
a 0 b c 0 b
a b c 0 b c
a b 0 c b 0
c 0 c 0 0 c
c 0 0 c 0 0
c b a 0 b a
c b b c b b
a a 0 0 a 0
a a c c a c
a c b 0 c b
a c a c c a
c a b 0 a b
c a a c a a
c c 0 0 c 0
c c c c c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 8x3 + 7x4 + 8x5 + 7x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_b)3 + (X_b)3 (X_c)3 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_b)3 (X_c)3 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_b)4 (X_c)2 + (X_0)3 (X_a)3 + (X_a)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)4 (X_c)2 + (X_0)3 (X_c)3 + (X_c)6

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0

Is it a nice code?: No

Generator Matrix-1631

a 0 a 0 0 a
0 a a 0 a a
b 0 b 0 0 b
0 b b 0 b b
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b b 0 b b
0 b a c a b
b 0 b 0 0 b
b 0 a c c b
b b 0 0 b 0
b b c c a 0
0 a a 0 a a
0 a b c b a
0 c c 0 c c
0 c 0 c 0 c
b a c 0 a c
b a 0 c b c
b c a 0 c a
b c b c 0 a
a 0 a 0 0 a
a 0 b c c a
a b c 0 b c
a b 0 c a c
c 0 c 0 0 c
c 0 0 c c c
c b a 0 b a
c b b c a a
a a 0 0 a 0
a a c c b 0
a c b 0 c b
a c a c 0 b
c a b 0 a b
c a a c b b
c c 0 0 c 0
c c c c 0 0

dmin: 3
Weight Enumerator: 1x0 + 0x1 + 0x2 + 8x3 + 5x4 + 16x5 + 2x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0

Is it a nice code?: No

Generator Matrix-1632

a 0 a 0 0 a
0 a a 0 a a
b 0 b 0 0 b
0 b b 0 b b
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b b 0 b b
0 b a c a a
b 0 b 0 0 b
b 0 a c c a
b b 0 0 b 0
b b c c a c
0 a a 0 a a
0 a b c b b
0 c c 0 c c
0 c 0 c 0 0
b a c 0 a c
b a 0 c b 0
b c a 0 c a
b c b c 0 b
a 0 a 0 0 a
a 0 b c c b
a b c 0 b c
a b 0 c a 0
c 0 c 0 0 c
c 0 0 c c 0
c b a 0 b a
c b b c a b
a a 0 0 a 0
a a c c b c
a c b 0 c b
a c a c 0 a
c a b 0 a b
c a a c b a
c c 0 0 c 0
c c c c 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 7x3 + 6x4 + 13x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)2 (X_b)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)3 (X_b)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_b)3 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0

Is it a nice code?: No

Generator Matrix-1633

a 0 a 0 0 a
0 a a a 0 0
b 0 b 0 0 b
0 b b b 0 0
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b b b 0 0
0 b a b 0 0
b 0 b 0 0 b
b 0 a 0 0 b
b b 0 b 0 b
b b c b 0 b
0 a a a 0 0
0 a b a 0 0
0 c c c 0 0
0 c 0 c 0 0
b a c a 0 b
b a 0 a 0 b
b c a c 0 b
b c b c 0 b
a 0 a 0 0 a
a 0 b 0 0 a
a b c b 0 a
a b 0 b 0 a
c 0 c 0 0 c
c 0 0 0 0 c
c b a b 0 c
c b b b 0 c
a a 0 a 0 a
a a c a 0 a
a c b c 0 a
a c a c 0 a
c a b a 0 c
c a a a 0 c
c c 0 c 0 c
c c c c 0 c

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 2x2 + 10x3 + 5x4 + 13x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)3 (X_b)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)3 (X_b)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)2 (X_b)4 + (X_0)1 (X_b)4 (X_c)1 + (X_0)3 (X_a)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)4 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0

Is it a nice code?: No

Generator Matrix-1634

a 0 a 0 0 a
0 a a a 0 0
b 0 b 0 0 b
0 b b b 0 0
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b b b 0 0
0 b a b 0 c
b 0 b 0 0 b
b 0 a 0 0 a
b b 0 b 0 b
b b c b 0 a
0 a a a 0 0
0 a b a 0 c
0 c c c 0 0
0 c 0 c 0 c
b a c a 0 b
b a 0 a 0 a
b c a c 0 b
b c b c 0 a
a 0 a 0 0 a
a 0 b 0 0 b
a b c b 0 a
a b 0 b 0 b
c 0 c 0 0 c
c 0 0 0 0 0
c b a b 0 c
c b b b 0 0
a a 0 a 0 a
a a c a 0 b
a c b c 0 a
a c a c 0 b
c a b a 0 c
c a a a 0 0
c c 0 c 0 c
c c c c 0 0

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 1x2 + 9x3 + 10x4 + 10x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_b)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)3 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)3 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0

Is it a nice code?: No

Generator Matrix-1635

a 0 a 0 0 a
0 a a a 0 0
b 0 b 0 0 b
0 b b b 0 0
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b b b 0 0
0 b a b c 0
b 0 b 0 0 b
b 0 a 0 c b
b b 0 b 0 b
b b c b c b
0 a a a 0 0
0 a b a c 0
0 c c c 0 0
0 c 0 c c 0
b a c a 0 b
b a 0 a c b
b c a c 0 b
b c b c c b
a 0 a 0 0 a
a 0 b 0 c a
a b c b 0 a
a b 0 b c a
c 0 c 0 0 c
c 0 0 0 c c
c b a b 0 c
c b b b c c
a a 0 a 0 a
a a c a c a
a c b c 0 a
a c a c c a
c a b a 0 c
c a a a c c
c c 0 c 0 c
c c c c c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 8x3 + 7x4 + 8x5 + 7x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_b)4 + (X_b)4 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_b)3 (X_c)3 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_b)3 (X_c)3 + (X_0)2 (X_a)4 + (X_a)4 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)3 (X_c)3 + (X_0)2 (X_c)4 + (X_c)6

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0

Is it a nice code?: No

Generator Matrix-1636

a 0 a 0 0 a
0 a a a 0 0
b 0 b 0 0 b
0 b b b 0 0
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b b b 0 0
0 b a b c c
b 0 b 0 0 b
b 0 a 0 c a
b b 0 b 0 b
b b c b c a
0 a a a 0 0
0 a b a c c
0 c c c 0 0
0 c 0 c c c
b a c a 0 b
b a 0 a c a
b c a c 0 b
b c b c c a
a 0 a 0 0 a
a 0 b 0 c b
a b c b 0 a
a b 0 b c b
c 0 c 0 0 c
c 0 0 0 c 0
c b a b 0 c
c b b b c 0
a a 0 a 0 a
a a c a c b
a c b c 0 a
a c a c c b
c a b a 0 c
c a a a c 0
c c 0 c 0 c
c c c c c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 7x3 + 6x4 + 13x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_b)4 + (X_a)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)4 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0

Is it a nice code?: No

Generator Matrix-1637

a 0 a 0 0 a
0 a a a 0 0
b 0 b 0 0 b
0 b b b 0 0
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b b b 0 0
0 b a a 0 0
b 0 b 0 0 b
b 0 a c 0 b
b b 0 b 0 b
b b c a 0 b
0 a a a 0 0
0 a b b 0 0
0 c c c 0 0
0 c 0 0 0 0
b a c a 0 b
b a 0 b 0 b
b c a c 0 b
b c b 0 0 b
a 0 a 0 0 a
a 0 b c 0 a
a b c b 0 a
a b 0 a 0 a
c 0 c 0 0 c
c 0 0 c 0 c
c b a b 0 c
c b b a 0 c
a a 0 a 0 a
a a c b 0 a
a c b c 0 a
a c a 0 0 a
c a b a 0 c
c a a b 0 c
c c 0 c 0 c
c c c 0 0 c

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 1x2 + 9x3 + 10x4 + 10x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)3 (X_a)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_b)3 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)3 (X_b)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0

Is it a nice code?: No

Generator Matrix-1638

a 0 a 0 0 a
0 a a a 0 0
b 0 b 0 0 b
0 b b b 0 0
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b b b 0 0
0 b a a 0 c
b 0 b 0 0 b
b 0 a c 0 a
b b 0 b 0 b
b b c a 0 a
0 a a a 0 0
0 a b b 0 c
0 c c c 0 0
0 c 0 0 0 c
b a c a 0 b
b a 0 b 0 a
b c a c 0 b
b c b 0 0 a
a 0 a 0 0 a
a 0 b c 0 b
a b c b 0 a
a b 0 a 0 b
c 0 c 0 0 c
c 0 0 c 0 0
c b a b 0 c
c b b a 0 0
a a 0 a 0 a
a a c b 0 b
a c b c 0 a
a c a 0 0 b
c a b a 0 c
c a a b 0 0
c c 0 c 0 c
c c c 0 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 2x2 + 8x3 + 13x4 + 8x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0

Is it a nice code?: No

Generator Matrix-1639

a 0 a 0 0 a
0 a a a 0 0
b 0 b 0 0 b
0 b b b 0 0
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b b b 0 0
0 b a a c 0
b 0 b 0 0 b
b 0 a c c b
b b 0 b 0 b
b b c a c b
0 a a a 0 0
0 a b b c 0
0 c c c 0 0
0 c 0 0 c 0
b a c a 0 b
b a 0 b c b
b c a c 0 b
b c b 0 c b
a 0 a 0 0 a
a 0 b c c a
a b c b 0 a
a b 0 a c a
c 0 c 0 0 c
c 0 0 c c c
c b a b 0 c
c b b a c c
a a 0 a 0 a
a a c b c a
a c b c 0 a
a c a 0 c a
c a b a 0 c
c a a b c c
c c 0 c 0 c
c c c 0 c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 7x3 + 6x4 + 13x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_b)4 + (X_a)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)4 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0

Is it a nice code?: No

Generator Matrix-1640

a 0 a 0 0 a
0 a a a 0 0
b 0 b 0 0 b
0 b b b 0 0
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b b b 0 0
0 b a a c c
b 0 b 0 0 b
b 0 a c c a
b b 0 b 0 b
b b c a c a
0 a a a 0 0
0 a b b c c
0 c c c 0 0
0 c 0 0 c c
b a c a 0 b
b a 0 b c a
b c a c 0 b
b c b 0 c a
a 0 a 0 0 a
a 0 b c c b
a b c b 0 a
a b 0 a c b
c 0 c 0 0 c
c 0 0 c c 0
c b a b 0 c
c b b a c 0
a a 0 a 0 a
a a c b c b
a c b c 0 a
a c a 0 c b
c a b a 0 c
c a a b c 0
c c 0 c 0 c
c c c 0 c 0

dmin: 3
Weight Enumerator: 1x0 + 0x1 + 0x2 + 8x3 + 5x4 + 16x5 + 2x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)3 (X_b)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_b)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_b)4 + (X_a)2 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0

Is it a nice code?: No

Generator Matrix-1641

a 0 a 0 0 a
0 a a a 0 a
b 0 b 0 0 b
0 b b b 0 b
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b b b 0 b
0 b a b 0 b
b 0 b 0 0 b
b 0 a 0 0 b
b b 0 b 0 0
b b c b 0 0
0 a a a 0 a
0 a b a 0 a
0 c c c 0 c
0 c 0 c 0 c
b a c a 0 c
b a 0 a 0 c
b c a c 0 a
b c b c 0 a
a 0 a 0 0 a
a 0 b 0 0 a
a b c b 0 c
a b 0 b 0 c
c 0 c 0 0 c
c 0 0 0 0 c
c b a b 0 a
c b b b 0 a
a a 0 a 0 0
a a c a 0 0
a c b c 0 b
a c a c 0 b
c a b a 0 b
c a a a 0 b
c c 0 c 0 0
c c c c 0 0

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 1x2 + 9x3 + 10x4 + 10x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)2 (X_b)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)3 (X_b)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)3 (X_b)3 + (X_0)2 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0

Is it a nice code?: No

Generator Matrix-1642

a 0 a 0 0 a
0 a a a 0 a
b 0 b 0 0 b
0 b b b 0 b
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b b b 0 b
0 b a b 0 a
b 0 b 0 0 b
b 0 a 0 0 a
b b 0 b 0 0
b b c b 0 c
0 a a a 0 a
0 a b a 0 b
0 c c c 0 c
0 c 0 c 0 0
b a c a 0 c
b a 0 a 0 0
b c a c 0 a
b c b c 0 b
a 0 a 0 0 a
a 0 b 0 0 b
a b c b 0 c
a b 0 b 0 0
c 0 c 0 0 c
c 0 0 0 0 0
c b a b 0 a
c b b b 0 b
a a 0 a 0 0
a a c a 0 c
a c b c 0 b
a c a c 0 a
c a b a 0 b
c a a a 0 a
c c 0 c 0 0
c c c c 0 c

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 2x2 + 10x3 + 5x4 + 13x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)3 (X_b)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)3 (X_b)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)2 (X_b)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)1 (X_b)2 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_b)4 (X_c)1 + (X_0)3 (X_a)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)4 (X_c)1 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0

Is it a nice code?: No

Generator Matrix-1643

a 0 a 0 0 a
0 a a a 0 a
b 0 b 0 0 b
0 b b b 0 b
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b b b 0 b
0 b a b c b
b 0 b 0 0 b
b 0 a 0 c b
b b 0 b 0 0
b b c b c 0
0 a a a 0 a
0 a b a c a
0 c c c 0 c
0 c 0 c c c
b a c a 0 c
b a 0 a c c
b c a c 0 a
b c b c c a
a 0 a 0 0 a
a 0 b 0 c a
a b c b 0 c
a b 0 b c c
c 0 c 0 0 c
c 0 0 0 c c
c b a b 0 a
c b b b c a
a a 0 a 0 0
a a c a c 0
a c b c 0 b
a c a c c b
c a b a 0 b
c a a a c b
c c 0 c 0 0
c c c c c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 7x3 + 6x4 + 13x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_b)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0

Is it a nice code?: No

Generator Matrix-1644

a 0 a 0 0 a
0 a a a 0 a
b 0 b 0 0 b
0 b b b 0 b
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b b b 0 b
0 b a b c a
b 0 b 0 0 b
b 0 a 0 c a
b b 0 b 0 0
b b c b c c
0 a a a 0 a
0 a b a c b
0 c c c 0 c
0 c 0 c c 0
b a c a 0 c
b a 0 a c 0
b c a c 0 a
b c b c c b
a 0 a 0 0 a
a 0 b 0 c b
a b c b 0 c
a b 0 b c 0
c 0 c 0 0 c
c 0 0 0 c 0
c b a b 0 a
c b b b c b
a a 0 a 0 0
a a c a c c
a c b c 0 b
a c a c c a
c a b a 0 b
c a a a c a
c c 0 c 0 0
c c c c c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 8x3 + 7x4 + 8x5 + 7x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_b)3 + (X_b)3 (X_c)3 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_b)3 (X_c)3 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_b)4 (X_c)2 + (X_0)3 (X_a)3 + (X_a)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)4 (X_c)2 + (X_0)3 (X_c)3 + (X_c)6

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0

Is it a nice code?: No

Generator Matrix-1645

a 0 a 0 0 a
0 a a a 0 a
b 0 b 0 0 b
0 b b b 0 b
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b b b 0 b
0 b a a 0 b
b 0 b 0 0 b
b 0 a c 0 b
b b 0 b 0 0
b b c a 0 0
0 a a a 0 a
0 a b b 0 a
0 c c c 0 c
0 c 0 0 0 c
b a c a 0 c
b a 0 b 0 c
b c a c 0 a
b c b 0 0 a
a 0 a 0 0 a
a 0 b c 0 a
a b c b 0 c
a b 0 a 0 c
c 0 c 0 0 c
c 0 0 c 0 c
c b a b 0 a
c b b a 0 a
a a 0 a 0 0
a a c b 0 0
a c b c 0 b
a c a 0 0 b
c a b a 0 b
c a a b 0 b
c c 0 c 0 0
c c c 0 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 2x2 + 8x3 + 13x4 + 8x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0

Is it a nice code?: No

Generator Matrix-1646

a 0 a 0 0 a
0 a a a 0 a
b 0 b 0 0 b
0 b b b 0 b
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b b b 0 b
0 b a a 0 a
b 0 b 0 0 b
b 0 a c 0 a
b b 0 b 0 0
b b c a 0 c
0 a a a 0 a
0 a b b 0 b
0 c c c 0 c
0 c 0 0 0 0
b a c a 0 c
b a 0 b 0 0
b c a c 0 a
b c b 0 0 b
a 0 a 0 0 a
a 0 b c 0 b
a b c b 0 c
a b 0 a 0 0
c 0 c 0 0 c
c 0 0 c 0 0
c b a b 0 a
c b b a 0 b
a a 0 a 0 0
a a c b 0 c
a c b c 0 b
a c a 0 0 a
c a b a 0 b
c a a b 0 a
c c 0 c 0 0
c c c 0 0 c

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 1x2 + 9x3 + 10x4 + 10x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)2 (X_b)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)1 (X_b)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_b)3 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)2 (X_b)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0

Is it a nice code?: No

Generator Matrix-1647

a 0 a 0 0 a
0 a a a 0 a
b 0 b 0 0 b
0 b b b 0 b
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b b b 0 b
0 b a a c b
b 0 b 0 0 b
b 0 a c c b
b b 0 b 0 0
b b c a c 0
0 a a a 0 a
0 a b b c a
0 c c c 0 c
0 c 0 0 c c
b a c a 0 c
b a 0 b c c
b c a c 0 a
b c b 0 c a
a 0 a 0 0 a
a 0 b c c a
a b c b 0 c
a b 0 a c c
c 0 c 0 0 c
c 0 0 c c c
c b a b 0 a
c b b a c a
a a 0 a 0 0
a a c b c 0
a c b c 0 b
a c a 0 c b
c a b a 0 b
c a a b c b
c c 0 c 0 0
c c c 0 c 0

dmin: 3
Weight Enumerator: 1x0 + 0x1 + 0x2 + 8x3 + 5x4 + 16x5 + 2x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0

Is it a nice code?: No

Generator Matrix-1648

a 0 a 0 0 a
0 a a a 0 a
b 0 b 0 0 b
0 b b b 0 b
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b b b 0 b
0 b a a c a
b 0 b 0 0 b
b 0 a c c a
b b 0 b 0 0
b b c a c c
0 a a a 0 a
0 a b b c b
0 c c c 0 c
0 c 0 0 c 0
b a c a 0 c
b a 0 b c 0
b c a c 0 a
b c b 0 c b
a 0 a 0 0 a
a 0 b c c b
a b c b 0 c
a b 0 a c 0
c 0 c 0 0 c
c 0 0 c c 0
c b a b 0 a
c b b a c b
a a 0 a 0 0
a a c b c c
a c b c 0 b
a c a 0 c a
c a b a 0 b
c a a b c a
c c 0 c 0 0
c c c 0 c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 7x3 + 6x4 + 13x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)2 (X_b)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)3 (X_b)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_b)3 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0

Is it a nice code?: No

Generator Matrix-1649

a 0 a 0 0 a
0 a a a a 0
b 0 b 0 0 b
0 b b b b 0
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b b b b 0
0 b a b b 0
b 0 b 0 0 b
b 0 a 0 0 b
b b 0 b b b
b b c b b b
0 a a a a 0
0 a b a a 0
0 c c c c 0
0 c 0 c c 0
b a c a a b
b a 0 a a b
b c a c c b
b c b c c b
a 0 a 0 0 a
a 0 b 0 0 a
a b c b b a
a b 0 b b a
c 0 c 0 0 c
c 0 0 0 0 c
c b a b b c
c b b b b c
a a 0 a a a
a a c a a a
a c b c c a
a c a c c a
c a b a a c
c a a a a c
c c 0 c c c
c c c c c c

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 1x2 + 6x3 + 5x4 + 5x5 + 13x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)2 (X_b)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)3 (X_b)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)1 (X_b)5 + (X_b)5 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_a)1 (X_b)2 (X_c)3 + (X_b)3 (X_c)3 + (X_0)3 (X_a)3 + (X_0)3 (X_a)2 (X_b)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_b)4 (X_c)2 + (X_0)1 (X_a)5 + (X_a)5 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_a)3 (X_c)3 + (X_a)3 (X_b)1 (X_c)2 + (X_a)4 (X_c)2 + (X_0)1 (X_c)5 + (X_c)6

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1650

a 0 a 0 0 a
0 a a a a 0
b 0 b 0 0 b
0 b b b b 0
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b b b b 0
0 b a b b c
b 0 b 0 0 b
b 0 a 0 0 a
b b 0 b b b
b b c b b a
0 a a a a 0
0 a b a a c
0 c c c c 0
0 c 0 c c c
b a c a a b
b a 0 a a a
b c a c c b
b c b c c a
a 0 a 0 0 a
a 0 b 0 0 b
a b c b b a
a b 0 b b b
c 0 c 0 0 c
c 0 0 0 0 0
c b a b b c
c b b b b 0
a a 0 a a a
a a c a a b
a c b c c a
a c a c c b
c a b a a c
c a a a a 0
c c 0 c c c
c c c c c 0

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 1x2 + 5x3 + 4x4 + 10x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)3 (X_b)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)1 (X_b)5 + (X_a)1 (X_b)4 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)4 (X_b)1 + (X_a)1 (X_b)2 (X_c)3 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)3 + (X_0)3 (X_a)1 (X_b)2 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)4 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_b)4 (X_c)1 + (X_0)1 (X_a)5 + (X_a)4 (X_b)1 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_a)2 (X_b)1 (X_c)3 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)4 (X_c)1 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1651

a 0 a 0 0 a
0 a a a a 0
b 0 b 0 0 b
0 b b b b 0
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b b b b 0
0 b a b a 0
b 0 b 0 0 b
b 0 a 0 c b
b b 0 b b b
b b c b a b
0 a a a a 0
0 a b a b 0
0 c c c c 0
0 c 0 c 0 0
b a c a a b
b a 0 a b b
b c a c c b
b c b c 0 b
a 0 a 0 0 a
a 0 b 0 c a
a b c b b a
a b 0 b a a
c 0 c 0 0 c
c 0 0 0 c c
c b a b b c
c b b b a c
a a 0 a a a
a a c a b a
a c b c c a
a c a c 0 a
c a b a a c
c a a a b c
c c 0 c c c
c c c c 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 2x2 + 4x3 + 7x4 + 8x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_b)5 + (X_a)1 (X_b)4 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_a)1 (X_b)3 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)5 + (X_a)4 (X_b)1 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)3 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1652

a 0 a 0 0 a
0 a a a a 0
b 0 b 0 0 b
0 b b b b 0
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b b b b 0
0 b a b a c
b 0 b 0 0 b
b 0 a 0 c a
b b 0 b b b
b b c b a a
0 a a a a 0
0 a b a b c
0 c c c c 0
0 c 0 c 0 c
b a c a a b
b a 0 a b a
b c a c c b
b c b c 0 a
a 0 a 0 0 a
a 0 b 0 c b
a b c b b a
a b 0 b a b
c 0 c 0 0 c
c 0 0 0 c 0
c b a b b c
c b b b a 0
a a 0 a a a
a a c a b b
a c b c c a
a c a c 0 b
c a b a a c
c a a a b 0
c c 0 c c c
c c c c 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 5x3 + 6x4 + 11x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_b)5 + (X_a)2 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)5 + (X_a)3 (X_b)2 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1653

a 0 a 0 0 a
0 a a a a 0
b 0 b 0 0 b
0 b b b b 0
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b b b b 0
0 b a a b 0
b 0 b 0 0 b
b 0 a c 0 b
b b 0 b b b
b b c a b b
0 a a a a 0
0 a b b a 0
0 c c c c 0
0 c 0 0 c 0
b a c a a b
b a 0 b a b
b c a c c b
b c b 0 c b
a 0 a 0 0 a
a 0 b c 0 a
a b c b b a
a b 0 a b a
c 0 c 0 0 c
c 0 0 c 0 c
c b a b b c
c b b a b c
a a 0 a a a
a a c b a a
a c b c c a
a c a 0 c a
c a b a a c
c a a b a c
c c 0 c c c
c c c 0 c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 2x2 + 4x3 + 7x4 + 8x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_b)5 + (X_a)1 (X_b)4 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_a)1 (X_b)3 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)5 + (X_a)4 (X_b)1 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)3 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1654

a 0 a 0 0 a
0 a a a a 0
b 0 b 0 0 b
0 b b b b 0
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b b b b 0
0 b a a b c
b 0 b 0 0 b
b 0 a c 0 a
b b 0 b b b
b b c a b a
0 a a a a 0
0 a b b a c
0 c c c c 0
0 c 0 0 c c
b a c a a b
b a 0 b a a
b c a c c b
b c b 0 c a
a 0 a 0 0 a
a 0 b c 0 b
a b c b b a
a b 0 a b b
c 0 c 0 0 c
c 0 0 c 0 0
c b a b b c
c b b a b 0
a a 0 a a a
a a c b a b
a c b c c a
a c a 0 c b
c a b a a c
c a a b a 0
c c 0 c c c
c c c 0 c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 5x3 + 6x4 + 11x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_b)5 + (X_a)2 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)5 + (X_a)3 (X_b)2 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1655

a 0 a 0 0 a
0 a a a a 0
b 0 b 0 0 b
0 b b b b 0
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b b b b 0
0 b a a a 0
b 0 b 0 0 b
b 0 a c c b
b b 0 b b b
b b c a a b
0 a a a a 0
0 a b b b 0
0 c c c c 0
0 c 0 0 0 0
b a c a a b
b a 0 b b b
b c a c c b
b c b 0 0 b
a 0 a 0 0 a
a 0 b c c a
a b c b b a
a b 0 a a a
c 0 c 0 0 c
c 0 0 c c c
c b a b b c
c b b a a c
a a 0 a a a
a a c b b a
a c b c c a
a c a 0 0 a
c a b a a c
c a a b b c
c c 0 c c c
c c c 0 0 c

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 0x2 + 4x3 + 9x4 + 7x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)2 (X_b)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_b)5 + (X_a)2 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)4 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_b)3 (X_c)1 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)4 (X_b)1 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_a)1 (X_b)3 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)5 + (X_a)3 (X_b)2 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)3 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1656

a 0 a 0 0 a
0 a a a a 0
b 0 b 0 0 b
0 b b b b 0
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b b b b 0
0 b a a a c
b 0 b 0 0 b
b 0 a c c a
b b 0 b b b
b b c a a a
0 a a a a 0
0 a b b b c
0 c c c c 0
0 c 0 0 0 c
b a c a a b
b a 0 b b a
b c a c c b
b c b 0 0 a
a 0 a 0 0 a
a 0 b c c b
a b c b b a
a b 0 a a b
c 0 c 0 0 c
c 0 0 c c 0
c b a b b c
c b b a a 0
a a 0 a a a
a a c b b b
a c b c c a
a c a 0 0 b
c a b a a c
c a a b b 0
c c 0 c c c
c c c 0 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 5x3 + 6x4 + 11x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)2 (X_b)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)3 (X_b)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_b)5 + (X_a)3 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)5 + (X_a)2 (X_b)3 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1657

a 0 a 0 0 a
0 a a a a a
b 0 b 0 0 b
0 b b b b b
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b b b b b
0 b a b b b
b 0 b 0 0 b
b 0 a 0 0 b
b b 0 b b 0
b b c b b 0
0 a a a a a
0 a b a a a
0 c c c c c
0 c 0 c c c
b a c a a c
b a 0 a a c
b c a c c a
b c b c c a
a 0 a 0 0 a
a 0 b 0 0 a
a b c b b c
a b 0 b b c
c 0 c 0 0 c
c 0 0 0 0 c
c b a b b a
c b b b b a
a a 0 a a 0
a a c a a 0
a c b c c b
a c a c c b
c a b a a b
c a a a a b
c c 0 c c 0
c c c c c 0

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 1x2 + 5x3 + 4x4 + 10x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)1 (X_b)5 + (X_0)1 (X_a)1 (X_b)4 + (X_0)3 (X_b)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)2 (X_b)4 + (X_0)1 (X_b)4 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)4 (X_b)1 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)3 + (X_0)3 (X_a)2 (X_b)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_a)2 (X_b)3 (X_c)1 + (X_a)1 (X_b)4 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)4 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_a)2 (X_b)1 (X_c)3 + (X_a)3 (X_b)2 (X_c)1 + (X_a)4 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1658

a 0 a 0 0 a
0 a a a a a
b 0 b 0 0 b
0 b b b b b
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b b b b b
0 b a b b a
b 0 b 0 0 b
b 0 a 0 0 a
b b 0 b b 0
b b c b b c
0 a a a a a
0 a b a a b
0 c c c c c
0 c 0 c c 0
b a c a a c
b a 0 a a 0
b c a c c a
b c b c c b
a 0 a 0 0 a
a 0 b 0 0 b
a b c b b c
a b 0 b b 0
c 0 c 0 0 c
c 0 0 0 0 0
c b a b b a
c b b b b b
a a 0 a a 0
a a c a a c
a c b c c b
a c a c c a
c a b a a b
c a a a a a
c c 0 c c 0
c c c c c c

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 1x2 + 6x3 + 5x4 + 5x5 + 13x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)1 (X_b)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)3 (X_b)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)2 (X_b)4 + (X_b)4 (X_c)2 + (X_0)1 (X_a)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)3 (X_b)1 + (X_a)2 (X_b)1 (X_c)3 + (X_b)3 (X_c)3 + (X_0)3 (X_a)3 + (X_0)3 (X_a)1 (X_b)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)1 (X_b)3 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_b)5 (X_c)1 + (X_0)2 (X_a)4 + (X_a)4 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_a)3 (X_c)3 + (X_a)3 (X_b)2 (X_c)1 + (X_a)5 (X_c)1 + (X_0)2 (X_c)4 + (X_c)6

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1659

a 0 a 0 0 a
0 a a a a a
b 0 b 0 0 b
0 b b b b b
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b b b b b
0 b a b a b
b 0 b 0 0 b
b 0 a 0 c b
b b 0 b b 0
b b c b a 0
0 a a a a a
0 a b a b a
0 c c c c c
0 c 0 c 0 c
b a c a a c
b a 0 a b c
b c a c c a
b c b c 0 a
a 0 a 0 0 a
a 0 b 0 c a
a b c b b c
a b 0 b a c
c 0 c 0 0 c
c 0 0 0 c c
c b a b b a
c b b b a a
a a 0 a a 0
a a c a b 0
a c b c c b
a c a c 0 b
c a b a a b
c a a a b b
c c 0 c c 0
c c c c 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 5x3 + 6x4 + 11x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)1 (X_b)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_a)2 (X_b)3 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)3 (X_b)2 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1660

a 0 a 0 0 a
0 a a a a a
b 0 b 0 0 b
0 b b b b b
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b b b b b
0 b a b a a
b 0 b 0 0 b
b 0 a 0 c a
b b 0 b b 0
b b c b a c
0 a a a a a
0 a b a b b
0 c c c c c
0 c 0 c 0 0
b a c a a c
b a 0 a b 0
b c a c c a
b c b c 0 b
a 0 a 0 0 a
a 0 b 0 c b
a b c b b c
a b 0 b a 0
c 0 c 0 0 c
c 0 0 0 c 0
c b a b b a
c b b b a b
a a 0 a a 0
a a c a b c
a c b c c b
a c a c 0 a
c a b a a b
c a a a b a
c c 0 c c 0
c c c c 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 2x2 + 4x3 + 7x4 + 8x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)1 (X_b)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_b)4 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_a)2 (X_b)3 (X_c)1 + (X_a)1 (X_b)4 (X_c)1 + (X_0)2 (X_a)4 + (X_a)3 (X_b)1 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)3 (X_c)2 + (X_a)3 (X_b)2 (X_c)1 + (X_a)4 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1661

a 0 a 0 0 a
0 a a a a a
b 0 b 0 0 b
0 b b b b b
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b b b b b
0 b a a b b
b 0 b 0 0 b
b 0 a c 0 b
b b 0 b b 0
b b c a b 0
0 a a a a a
0 a b b a a
0 c c c c c
0 c 0 0 c c
b a c a a c
b a 0 b a c
b c a c c a
b c b 0 c a
a 0 a 0 0 a
a 0 b c 0 a
a b c b b c
a b 0 a b c
c 0 c 0 0 c
c 0 0 c 0 c
c b a b b a
c b b a b a
a a 0 a a 0
a a c b a 0
a c b c c b
a c a 0 c b
c a b a a b
c a a b a b
c c 0 c c 0
c c c 0 c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 5x3 + 6x4 + 11x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)1 (X_b)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_a)2 (X_b)3 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)3 (X_b)2 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1662

a 0 a 0 0 a
0 a a a a a
b 0 b 0 0 b
0 b b b b b
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b b b b b
0 b a a b a
b 0 b 0 0 b
b 0 a c 0 a
b b 0 b b 0
b b c a b c
0 a a a a a
0 a b b a b
0 c c c c c
0 c 0 0 c 0
b a c a a c
b a 0 b a 0
b c a c c a
b c b 0 c b
a 0 a 0 0 a
a 0 b c 0 b
a b c b b c
a b 0 a b 0
c 0 c 0 0 c
c 0 0 c 0 0
c b a b b a
c b b a b b
a a 0 a a 0
a a c b a c
a c b c c b
a c a 0 c a
c a b a a b
c a a b a a
c c 0 c c 0
c c c 0 c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 2x2 + 4x3 + 7x4 + 8x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)1 (X_b)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_b)4 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_a)2 (X_b)3 (X_c)1 + (X_a)1 (X_b)4 (X_c)1 + (X_0)2 (X_a)4 + (X_a)3 (X_b)1 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)3 (X_c)2 + (X_a)3 (X_b)2 (X_c)1 + (X_a)4 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1663

a 0 a 0 0 a
0 a a a a a
b 0 b 0 0 b
0 b b b b b
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b b b b b
0 b a a a b
b 0 b 0 0 b
b 0 a c c b
b b 0 b b 0
b b c a a 0
0 a a a a a
0 a b b b a
0 c c c c c
0 c 0 0 0 c
b a c a a c
b a 0 b b c
b c a c c a
b c b 0 0 a
a 0 a 0 0 a
a 0 b c c a
a b c b b c
a b 0 a a c
c 0 c 0 0 c
c 0 0 c c c
c b a b b a
c b b a a a
a a 0 a a 0
a a c b b 0
a c b c c b
a c a 0 0 b
c a b a a b
c a a b b b
c c 0 c c 0
c c c 0 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 5x3 + 6x4 + 11x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)1 (X_b)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_a)2 (X_b)3 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1664

a 0 a 0 0 a
0 a a a a a
b 0 b 0 0 b
0 b b b b b
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b b b b b
0 b a a a a
b 0 b 0 0 b
b 0 a c c a
b b 0 b b 0
b b c a a c
0 a a a a a
0 a b b b b
0 c c c c c
0 c 0 0 0 0
b a c a a c
b a 0 b b 0
b c a c c a
b c b 0 0 b
a 0 a 0 0 a
a 0 b c c b
a b c b b c
a b 0 a a 0
c 0 c 0 0 c
c 0 0 c c 0
c b a b b a
c b b a a b
a a 0 a a 0
a a c b b c
a c b c c b
a c a 0 0 a
c a b a a b
c a a b b a
c c 0 c c 0
c c c 0 0 c

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 0x2 + 4x3 + 9x4 + 7x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)1 (X_b)5 + (X_0)1 (X_a)4 (X_b)1 + (X_0)3 (X_b)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_b)4 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)5 + (X_0)1 (X_a)1 (X_b)4 + (X_0)1 (X_c)5 + (X_0)5 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)3 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_b)3 (X_c)1 + (X_0)3 (X_a)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)3 (X_b)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_a)2 (X_b)3 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_a)2 (X_b)2 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)3 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1665

a 0 a 0 a 0
0 a a 0 0 0
b 0 b 0 b 0
0 b b 0 0 0
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b b 0 0 0
0 b a 0 0 0
b 0 b 0 b 0
b 0 a 0 b 0
b b 0 0 b 0
b b c 0 b 0
0 a a 0 0 0
0 a b 0 0 0
0 c c 0 0 0
0 c 0 0 0 0
b a c 0 b 0
b a 0 0 b 0
b c a 0 b 0
b c b 0 b 0
a 0 a 0 a 0
a 0 b 0 a 0
a b c 0 a 0
a b 0 0 a 0
c 0 c 0 c 0
c 0 0 0 c 0
c b a 0 c 0
c b b 0 c 0
a a 0 0 a 0
a a c 0 a 0
a c b 0 a 0
a c a 0 a 0
c a b 0 c 0
c a a 0 c 0
c c 0 0 c 0
c c c 0 c 0

dmin: 1
Weight Enumerator: 1x0 + 2x1 + 6x2 + 10x3 + 13x4 + 0x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)4 (X_b)2 + (X_0)4 (X_a)1 (X_b)1 + (X_0)3 (X_b)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)3 (X_b)3 + (X_0)2 (X_b)3 (X_c)1 + (X_0)4 (X_a)2 + (X_0)4 (X_a)1 (X_b)1 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_a)1 (X_b)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_b)3 (X_c)1 + (X_0)3 (X_a)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_a)2 (X_b)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)3 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)3 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c

Is it a nice code?: No

Generator Matrix-1666

a 0 a 0 a 0
0 a a 0 0 0
b 0 b 0 b 0
0 b b 0 0 0
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b b 0 0 0
0 b a 0 0 c
b 0 b 0 b 0
b 0 a 0 b c
b b 0 0 b 0
b b c 0 b c
0 a a 0 0 0
0 a b 0 0 c
0 c c 0 0 0
0 c 0 0 0 c
b a c 0 b 0
b a 0 0 b c
b c a 0 b 0
b c b 0 b c
a 0 a 0 a 0
a 0 b 0 a c
a b c 0 a 0
a b 0 0 a c
c 0 c 0 c 0
c 0 0 0 c c
c b a 0 c 0
c b b 0 c c
a a 0 0 a 0
a a c 0 a c
a c b 0 a 0
a c a 0 a c
c a b 0 c 0
c a a 0 c c
c c 0 0 c 0
c c c 0 c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 5x2 + 9x3 + 10x4 + 7x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_b)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_b)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)4 (X_a)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c

Is it a nice code?: No

Generator Matrix-1667

a 0 a 0 a 0
0 a a 0 0 0
b 0 b 0 b 0
0 b b 0 0 0
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b b 0 0 0
0 b a 0 c 0
b 0 b 0 b 0
b 0 a 0 a 0
b b 0 0 b 0
b b c 0 a 0
0 a a 0 0 0
0 a b 0 c 0
0 c c 0 0 0
0 c 0 0 c 0
b a c 0 b 0
b a 0 0 a 0
b c a 0 b 0
b c b 0 a 0
a 0 a 0 a 0
a 0 b 0 b 0
a b c 0 a 0
a b 0 0 b 0
c 0 c 0 c 0
c 0 0 0 0 0
c b a 0 c 0
c b b 0 0 0
a a 0 0 a 0
a a c 0 b 0
a c b 0 a 0
a c a 0 b 0
c a b 0 c 0
c a a 0 0 0
c c 0 0 c 0
c c c 0 0 0

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 5x2 + 15x3 + 10x4 + 0x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_b)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)3 (X_b)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)4 (X_a)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_a)2 (X_b)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_a)1 (X_b)2 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_a)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c

Is it a nice code?: No

Generator Matrix-1668

a 0 a 0 a 0
0 a a 0 0 0
b 0 b 0 b 0
0 b b 0 0 0
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b b 0 0 0
0 b a 0 c c
b 0 b 0 b 0
b 0 a 0 a c
b b 0 0 b 0
b b c 0 a c
0 a a 0 0 0
0 a b 0 c c
0 c c 0 0 0
0 c 0 0 c c
b a c 0 b 0
b a 0 0 a c
b c a 0 b 0
b c b 0 a c
a 0 a 0 a 0
a 0 b 0 b c
a b c 0 a 0
a b 0 0 b c
c 0 c 0 c 0
c 0 0 0 0 c
c b a 0 c 0
c b b 0 0 c
a a 0 0 a 0
a a c 0 b c
a c b 0 a 0
a c a 0 b c
c a b 0 c 0
c a a 0 0 c
c c 0 0 c 0
c c c 0 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 8x3 + 15x4 + 4x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c

Is it a nice code?: No

Generator Matrix-1669

a 0 a 0 a 0
0 a a 0 0 0
b 0 b 0 b 0
0 b b 0 0 0
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b b 0 0 0
0 b a c 0 0
b 0 b 0 b 0
b 0 a c b 0
b b 0 0 b 0
b b c c b 0
0 a a 0 0 0
0 a b c 0 0
0 c c 0 0 0
0 c 0 c 0 0
b a c 0 b 0
b a 0 c b 0
b c a 0 b 0
b c b c b 0
a 0 a 0 a 0
a 0 b c a 0
a b c 0 a 0
a b 0 c a 0
c 0 c 0 c 0
c 0 0 c c 0
c b a 0 c 0
c b b c c 0
a a 0 0 a 0
a a c c a 0
a c b 0 a 0
a c a c a 0
c a b 0 c 0
c a a c c 0
c c 0 0 c 0
c c c c c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 5x2 + 9x3 + 10x4 + 7x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_b)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_b)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)4 (X_a)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c

Is it a nice code?: No

Generator Matrix-1670

a 0 a 0 a 0
0 a a 0 0 0
b 0 b 0 b 0
0 b b 0 0 0
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b b 0 0 0
0 b a c 0 c
b 0 b 0 b 0
b 0 a c b c
b b 0 0 b 0
b b c c b c
0 a a 0 0 0
0 a b c 0 c
0 c c 0 0 0
0 c 0 c 0 c
b a c 0 b 0
b a 0 c b c
b c a 0 b 0
b c b c b c
a 0 a 0 a 0
a 0 b c a c
a b c 0 a 0
a b 0 c a c
c 0 c 0 c 0
c 0 0 c c c
c b a 0 c 0
c b b c c c
a a 0 0 a 0
a a c c a c
a c b 0 a 0
a c a c a c
c a b 0 c 0
c a a c c c
c c 0 0 c 0
c c c c c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 8x3 + 9x4 + 4x5 + 7x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_b)3 + (X_b)3 (X_c)3 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_b)3 (X_c)3 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_b)2 (X_c)4 + (X_0)3 (X_a)3 + (X_a)3 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)3 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_a)2 (X_c)4 + (X_0)3 (X_c)3 + (X_c)6

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c

Is it a nice code?: No

Generator Matrix-1671

a 0 a 0 a 0
0 a a 0 0 0
b 0 b 0 b 0
0 b b 0 0 0
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b b 0 0 0
0 b a c c 0
b 0 b 0 b 0
b 0 a c a 0
b b 0 0 b 0
b b c c a 0
0 a a 0 0 0
0 a b c c 0
0 c c 0 0 0
0 c 0 c c 0
b a c 0 b 0
b a 0 c a 0
b c a 0 b 0
b c b c a 0
a 0 a 0 a 0
a 0 b c b 0
a b c 0 a 0
a b 0 c b 0
c 0 c 0 c 0
c 0 0 c 0 0
c b a 0 c 0
c b b c 0 0
a a 0 0 a 0
a a c c b 0
a c b 0 a 0
a c a c b 0
c a b 0 c 0
c a a c 0 0
c c 0 0 c 0
c c c c 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 8x3 + 15x4 + 4x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c

Is it a nice code?: No

Generator Matrix-1672

a 0 a 0 a 0
0 a a 0 0 0
b 0 b 0 b 0
0 b b 0 0 0
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b b 0 0 0
0 b a c c c
b 0 b 0 b 0
b 0 a c a c
b b 0 0 b 0
b b c c a c
0 a a 0 0 0
0 a b c c c
0 c c 0 0 0
0 c 0 c c c
b a c 0 b 0
b a 0 c a c
b c a 0 b 0
b c b c a c
a 0 a 0 a 0
a 0 b c b c
a b c 0 a 0
a b 0 c b c
c 0 c 0 c 0
c 0 0 c 0 c
c b a 0 c 0
c b b c 0 c
a a 0 0 a 0
a a c c b c
a c b 0 a 0
a c a c b c
c a b 0 c 0
c a a c 0 c
c c 0 0 c 0
c c c c 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 7x3 + 8x4 + 9x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)4 (X_b)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_b)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_b)3 + (X_a)1 (X_b)2 (X_c)3 + (X_0)4 (X_a)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)3 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c

Is it a nice code?: No

Generator Matrix-1673

a 0 a 0 a 0
0 a a 0 0 a
b 0 b 0 b 0
0 b b 0 0 b
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b b 0 0 b
0 b a 0 0 b
b 0 b 0 b 0
b 0 a 0 b 0
b b 0 0 b b
b b c 0 b b
0 a a 0 0 a
0 a b 0 0 a
0 c c 0 0 c
0 c 0 0 0 c
b a c 0 b a
b a 0 0 b a
b c a 0 b c
b c b 0 b c
a 0 a 0 a 0
a 0 b 0 a 0
a b c 0 a b
a b 0 0 a b
c 0 c 0 c 0
c 0 0 0 c 0
c b a 0 c b
c b b 0 c b
a a 0 0 a a
a a c 0 a a
a c b 0 a c
a c a 0 a c
c a b 0 c a
c a a 0 c a
c c 0 0 c c
c c c 0 c c

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 2x2 + 10x3 + 5x4 + 13x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)3 (X_b)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)3 (X_b)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)2 (X_b)4 + (X_0)1 (X_b)4 (X_c)1 + (X_0)3 (X_a)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)4 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0

Is it a nice code?: No

Generator Matrix-1674

a 0 a 0 a 0
0 a a 0 0 a
b 0 b 0 b 0
0 b b 0 0 b
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b b 0 0 b
0 b a 0 0 a
b 0 b 0 b 0
b 0 a 0 b c
b b 0 0 b b
b b c 0 b a
0 a a 0 0 a
0 a b 0 0 b
0 c c 0 0 c
0 c 0 0 0 0
b a c 0 b a
b a 0 0 b b
b c a 0 b c
b c b 0 b 0
a 0 a 0 a 0
a 0 b 0 a c
a b c 0 a b
a b 0 0 a a
c 0 c 0 c 0
c 0 0 0 c c
c b a 0 c b
c b b 0 c a
a a 0 0 a a
a a c 0 a b
a c b 0 a c
a c a 0 a 0
c a b 0 c a
c a a 0 c b
c c 0 0 c c
c c c 0 c 0

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 1x2 + 9x3 + 10x4 + 10x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)3 (X_a)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_b)3 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)3 (X_b)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0

Is it a nice code?: No

Generator Matrix-1675

a 0 a 0 a 0
0 a a 0 0 a
b 0 b 0 b 0
0 b b 0 0 b
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b b 0 0 b
0 b a 0 c b
b 0 b 0 b 0
b 0 a 0 a 0
b b 0 0 b b
b b c 0 a b
0 a a 0 0 a
0 a b 0 c a
0 c c 0 0 c
0 c 0 0 c c
b a c 0 b a
b a 0 0 a a
b c a 0 b c
b c b 0 a c
a 0 a 0 a 0
a 0 b 0 b 0
a b c 0 a b
a b 0 0 b b
c 0 c 0 c 0
c 0 0 0 0 0
c b a 0 c b
c b b 0 0 b
a a 0 0 a a
a a c 0 b a
a c b 0 a c
a c a 0 b c
c a b 0 c a
c a a 0 0 a
c c 0 0 c c
c c c 0 0 c

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 1x2 + 9x3 + 10x4 + 10x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_b)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)3 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)3 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0

Is it a nice code?: No

Generator Matrix-1676

a 0 a 0 a 0
0 a a 0 0 a
b 0 b 0 b 0
0 b b 0 0 b
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b b 0 0 b
0 b a 0 c a
b 0 b 0 b 0
b 0 a 0 a c
b b 0 0 b b
b b c 0 a a
0 a a 0 0 a
0 a b 0 c b
0 c c 0 0 c
0 c 0 0 c 0
b a c 0 b a
b a 0 0 a b
b c a 0 b c
b c b 0 a 0
a 0 a 0 a 0
a 0 b 0 b c
a b c 0 a b
a b 0 0 b a
c 0 c 0 c 0
c 0 0 0 0 c
c b a 0 c b
c b b 0 0 a
a a 0 0 a a
a a c 0 b b
a c b 0 a c
a c a 0 b 0
c a b 0 c a
c a a 0 0 b
c c 0 0 c c
c c c 0 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 2x2 + 8x3 + 13x4 + 8x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0

Is it a nice code?: No

Generator Matrix-1677

a 0 a 0 a 0
0 a a 0 0 a
b 0 b 0 b 0
0 b b 0 0 b
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b b 0 0 b
0 b a c 0 b
b 0 b 0 b 0
b 0 a c b 0
b b 0 0 b b
b b c c b b
0 a a 0 0 a
0 a b c 0 a
0 c c 0 0 c
0 c 0 c 0 c
b a c 0 b a
b a 0 c b a
b c a 0 b c
b c b c b c
a 0 a 0 a 0
a 0 b c a 0
a b c 0 a b
a b 0 c a b
c 0 c 0 c 0
c 0 0 c c 0
c b a 0 c b
c b b c c b
a a 0 0 a a
a a c c a a
a c b 0 a c
a c a c a c
c a b 0 c a
c a a c c a
c c 0 0 c c
c c c c c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 8x3 + 7x4 + 8x5 + 7x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_b)4 + (X_b)4 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_b)3 (X_c)3 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_b)3 (X_c)3 + (X_0)2 (X_a)4 + (X_a)4 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)3 (X_c)3 + (X_0)2 (X_c)4 + (X_c)6

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0

Is it a nice code?: No

Generator Matrix-1678

a 0 a 0 a 0
0 a a 0 0 a
b 0 b 0 b 0
0 b b 0 0 b
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b b 0 0 b
0 b a c 0 a
b 0 b 0 b 0
b 0 a c b c
b b 0 0 b b
b b c c b a
0 a a 0 0 a
0 a b c 0 b
0 c c 0 0 c
0 c 0 c 0 0
b a c 0 b a
b a 0 c b b
b c a 0 b c
b c b c b 0
a 0 a 0 a 0
a 0 b c a c
a b c 0 a b
a b 0 c a a
c 0 c 0 c 0
c 0 0 c c c
c b a 0 c b
c b b c c a
a a 0 0 a a
a a c c a b
a c b 0 a c
a c a c a 0
c a b 0 c a
c a a c c b
c c 0 0 c c
c c c c c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 7x3 + 6x4 + 13x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_b)4 + (X_a)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)4 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0

Is it a nice code?: No

Generator Matrix-1679

a 0 a 0 a 0
0 a a 0 0 a
b 0 b 0 b 0
0 b b 0 0 b
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b b 0 0 b
0 b a c c b
b 0 b 0 b 0
b 0 a c a 0
b b 0 0 b b
b b c c a b
0 a a 0 0 a
0 a b c c a
0 c c 0 0 c
0 c 0 c c c
b a c 0 b a
b a 0 c a a
b c a 0 b c
b c b c a c
a 0 a 0 a 0
a 0 b c b 0
a b c 0 a b
a b 0 c b b
c 0 c 0 c 0
c 0 0 c 0 0
c b a 0 c b
c b b c 0 b
a a 0 0 a a
a a c c b a
a c b 0 a c
a c a c b c
c a b 0 c a
c a a c 0 a
c c 0 0 c c
c c c c 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 7x3 + 6x4 + 13x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_b)4 + (X_a)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)4 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0

Is it a nice code?: No

Generator Matrix-1680

a 0 a 0 a 0
0 a a 0 0 a
b 0 b 0 b 0
0 b b 0 0 b
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b b 0 0 b
0 b a c c a
b 0 b 0 b 0
b 0 a c a c
b b 0 0 b b
b b c c a a
0 a a 0 0 a
0 a b c c b
0 c c 0 0 c
0 c 0 c c 0
b a c 0 b a
b a 0 c a b
b c a 0 b c
b c b c a 0
a 0 a 0 a 0
a 0 b c b c
a b c 0 a b
a b 0 c b a
c 0 c 0 c 0
c 0 0 c 0 c
c b a 0 c b
c b b c 0 a
a a 0 0 a a
a a c c b b
a c b 0 a c
a c a c b 0
c a b 0 c a
c a a c 0 b
c c 0 0 c c
c c c c 0 0

dmin: 3
Weight Enumerator: 1x0 + 0x1 + 0x2 + 8x3 + 5x4 + 16x5 + 2x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)3 (X_b)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_b)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_b)4 + (X_a)2 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0

Is it a nice code?: No

Generator Matrix-1681

a 0 a 0 a 0
0 a a 0 a 0
b 0 b 0 b 0
0 b b 0 b 0
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b b 0 b 0
0 b a 0 b 0
b 0 b 0 b 0
b 0 a 0 b 0
b b 0 0 0 0
b b c 0 0 0
0 a a 0 a 0
0 a b 0 a 0
0 c c 0 c 0
0 c 0 0 c 0
b a c 0 c 0
b a 0 0 c 0
b c a 0 a 0
b c b 0 a 0
a 0 a 0 a 0
a 0 b 0 a 0
a b c 0 c 0
a b 0 0 c 0
c 0 c 0 c 0
c 0 0 0 c 0
c b a 0 a 0
c b b 0 a 0
a a 0 0 0 0
a a c 0 0 0
a c b 0 b 0
a c a 0 b 0
c a b 0 b 0
c a a 0 b 0
c c 0 0 0 0
c c c 0 0 0

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 5x2 + 15x3 + 10x4 + 0x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)3 (X_b)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)3 (X_b)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)4 (X_b)2 + (X_0)3 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)4 (X_a)2 + (X_0)3 (X_a)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c

Is it a nice code?: No

Generator Matrix-1682

a 0 a 0 a 0
0 a a 0 a 0
b 0 b 0 b 0
0 b b 0 b 0
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b b 0 b 0
0 b a 0 b c
b 0 b 0 b 0
b 0 a 0 b c
b b 0 0 0 0
b b c 0 0 c
0 a a 0 a 0
0 a b 0 a c
0 c c 0 c 0
0 c 0 0 c c
b a c 0 c 0
b a 0 0 c c
b c a 0 a 0
b c b 0 a c
a 0 a 0 a 0
a 0 b 0 a c
a b c 0 c 0
a b 0 0 c c
c 0 c 0 c 0
c 0 0 0 c c
c b a 0 a 0
c b b 0 a c
a a 0 0 0 0
a a c 0 0 c
a c b 0 b 0
a c a 0 b c
c a b 0 b 0
c a a 0 b c
c c 0 0 0 0
c c c 0 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 8x3 + 15x4 + 4x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c

Is it a nice code?: No

Generator Matrix-1683

a 0 a 0 a 0
0 a a 0 a 0
b 0 b 0 b 0
0 b b 0 b 0
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b b 0 b 0
0 b a 0 a 0
b 0 b 0 b 0
b 0 a 0 a 0
b b 0 0 0 0
b b c 0 c 0
0 a a 0 a 0
0 a b 0 b 0
0 c c 0 c 0
0 c 0 0 0 0
b a c 0 c 0
b a 0 0 0 0
b c a 0 a 0
b c b 0 b 0
a 0 a 0 a 0
a 0 b 0 b 0
a b c 0 c 0
a b 0 0 0 0
c 0 c 0 c 0
c 0 0 0 0 0
c b a 0 a 0
c b b 0 b 0
a a 0 0 0 0
a a c 0 c 0
a c b 0 b 0
a c a 0 a 0
c a b 0 b 0
c a a 0 a 0
c c 0 0 0 0
c c c 0 c 0

dmin: 1
Weight Enumerator: 1x0 + 2x1 + 6x2 + 10x3 + 13x4 + 0x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)3 (X_b)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_a)1 (X_b)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_b)3 (X_c)1 + (X_0)3 (X_a)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_a)1 (X_b)1 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_b)3 (X_c)1 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)3 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)3 (X_c)1 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c

Is it a nice code?: No

Generator Matrix-1684

a 0 a 0 a 0
0 a a 0 a 0
b 0 b 0 b 0
0 b b 0 b 0
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b b 0 b 0
0 b a 0 a c
b 0 b 0 b 0
b 0 a 0 a c
b b 0 0 0 0
b b c 0 c c
0 a a 0 a 0
0 a b 0 b c
0 c c 0 c 0
0 c 0 0 0 c
b a c 0 c 0
b a 0 0 0 c
b c a 0 a 0
b c b 0 b c
a 0 a 0 a 0
a 0 b 0 b c
a b c 0 c 0
a b 0 0 0 c
c 0 c 0 c 0
c 0 0 0 0 c
c b a 0 a 0
c b b 0 b c
a a 0 0 0 0
a a c 0 c c
a c b 0 b 0
a c a 0 a c
c a b 0 b 0
c a a 0 a c
c c 0 0 0 0
c c c 0 c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 5x2 + 9x3 + 10x4 + 7x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)4 (X_b)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_b)3 (X_c)2 + (X_0)4 (X_a)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c

Is it a nice code?: No

Generator Matrix-1685

a 0 a 0 a 0
0 a a 0 a 0
b 0 b 0 b 0
0 b b 0 b 0
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b b 0 b 0
0 b a c b 0
b 0 b 0 b 0
b 0 a c b 0
b b 0 0 0 0
b b c c 0 0
0 a a 0 a 0
0 a b c a 0
0 c c 0 c 0
0 c 0 c c 0
b a c 0 c 0
b a 0 c c 0
b c a 0 a 0
b c b c a 0
a 0 a 0 a 0
a 0 b c a 0
a b c 0 c 0
a b 0 c c 0
c 0 c 0 c 0
c 0 0 c c 0
c b a 0 a 0
c b b c a 0
a a 0 0 0 0
a a c c 0 0
a c b 0 b 0
a c a c b 0
c a b 0 b 0
c a a c b 0
c c 0 0 0 0
c c c c 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 8x3 + 15x4 + 4x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c

Is it a nice code?: No

Generator Matrix-1686

a 0 a 0 a 0
0 a a 0 a 0
b 0 b 0 b 0
0 b b 0 b 0
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b b 0 b 0
0 b a c b c
b 0 b 0 b 0
b 0 a c b c
b b 0 0 0 0
b b c c 0 c
0 a a 0 a 0
0 a b c a c
0 c c 0 c 0
0 c 0 c c c
b a c 0 c 0
b a 0 c c c
b c a 0 a 0
b c b c a c
a 0 a 0 a 0
a 0 b c a c
a b c 0 c 0
a b 0 c c c
c 0 c 0 c 0
c 0 0 c c c
c b a 0 a 0
c b b c a c
a a 0 0 0 0
a a c c 0 c
a c b 0 b 0
a c a c b c
c a b 0 b 0
c a a c b c
c c 0 0 0 0
c c c c 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 7x3 + 8x4 + 9x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)4 (X_b)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)4 (X_a)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c

Is it a nice code?: No

Generator Matrix-1687

a 0 a 0 a 0
0 a a 0 a 0
b 0 b 0 b 0
0 b b 0 b 0
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b b 0 b 0
0 b a c a 0
b 0 b 0 b 0
b 0 a c a 0
b b 0 0 0 0
b b c c c 0
0 a a 0 a 0
0 a b c b 0
0 c c 0 c 0
0 c 0 c 0 0
b a c 0 c 0
b a 0 c 0 0
b c a 0 a 0
b c b c b 0
a 0 a 0 a 0
a 0 b c b 0
a b c 0 c 0
a b 0 c 0 0
c 0 c 0 c 0
c 0 0 c 0 0
c b a 0 a 0
c b b c b 0
a a 0 0 0 0
a a c c c 0
a c b 0 b 0
a c a c a 0
c a b 0 b 0
c a a c a 0
c c 0 0 0 0
c c c c c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 5x2 + 9x3 + 10x4 + 7x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)4 (X_b)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_b)3 (X_c)2 + (X_0)4 (X_a)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c

Is it a nice code?: No

Generator Matrix-1688

a 0 a 0 a 0
0 a a 0 a 0
b 0 b 0 b 0
0 b b 0 b 0
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b b 0 b 0
0 b a c a c
b 0 b 0 b 0
b 0 a c a c
b b 0 0 0 0
b b c c c c
0 a a 0 a 0
0 a b c b c
0 c c 0 c 0
0 c 0 c 0 c
b a c 0 c 0
b a 0 c 0 c
b c a 0 a 0
b c b c b c
a 0 a 0 a 0
a 0 b c b c
a b c 0 c 0
a b 0 c 0 c
c 0 c 0 c 0
c 0 0 c 0 c
c b a 0 a 0
c b b c b c
a a 0 0 0 0
a a c c c c
a c b 0 b 0
a c a c a c
c a b 0 b 0
c a a c a c
c c 0 0 0 0
c c c c c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 8x3 + 9x4 + 4x5 + 7x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)3 (X_b)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_b)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)4 (X_b)2 + (X_b)2 (X_c)4 + (X_0)3 (X_a)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_b)3 (X_c)3 + (X_0)3 (X_a)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_b)3 (X_c)3 + (X_0)4 (X_a)2 + (X_a)2 (X_c)4 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)3 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)3 (X_c)3 + (X_0)4 (X_c)2 + (X_c)6

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c

Is it a nice code?: No

Generator Matrix-1689

a 0 a 0 a 0
0 a a 0 a a
b 0 b 0 b 0
0 b b 0 b b
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b b 0 b b
0 b a 0 b b
b 0 b 0 b 0
b 0 a 0 b 0
b b 0 0 0 b
b b c 0 0 b
0 a a 0 a a
0 a b 0 a a
0 c c 0 c c
0 c 0 0 c c
b a c 0 c a
b a 0 0 c a
b c a 0 a c
b c b 0 a c
a 0 a 0 a 0
a 0 b 0 a 0
a b c 0 c b
a b 0 0 c b
c 0 c 0 c 0
c 0 0 0 c 0
c b a 0 a b
c b b 0 a b
a a 0 0 0 a
a a c 0 0 a
a c b 0 b c
a c a 0 b c
c a b 0 b a
c a a 0 b a
c c 0 0 0 c
c c c 0 0 c

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 1x2 + 9x3 + 10x4 + 10x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)2 (X_b)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)3 (X_b)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)3 (X_b)3 + (X_0)2 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0

Is it a nice code?: No

Generator Matrix-1690

a 0 a 0 a 0
0 a a 0 a a
b 0 b 0 b 0
0 b b 0 b b
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b b 0 b b
0 b a 0 b a
b 0 b 0 b 0
b 0 a 0 b c
b b 0 0 0 b
b b c 0 0 a
0 a a 0 a a
0 a b 0 a b
0 c c 0 c c
0 c 0 0 c 0
b a c 0 c a
b a 0 0 c b
b c a 0 a c
b c b 0 a 0
a 0 a 0 a 0
a 0 b 0 a c
a b c 0 c b
a b 0 0 c a
c 0 c 0 c 0
c 0 0 0 c c
c b a 0 a b
c b b 0 a a
a a 0 0 0 a
a a c 0 0 b
a c b 0 b c
a c a 0 b 0
c a b 0 b a
c a a 0 b b
c c 0 0 0 c
c c c 0 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 2x2 + 8x3 + 13x4 + 8x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0

Is it a nice code?: No

Generator Matrix-1691

a 0 a 0 a 0
0 a a 0 a a
b 0 b 0 b 0
0 b b 0 b b
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b b 0 b b
0 b a 0 a b
b 0 b 0 b 0
b 0 a 0 a 0
b b 0 0 0 b
b b c 0 c b
0 a a 0 a a
0 a b 0 b a
0 c c 0 c c
0 c 0 0 0 c
b a c 0 c a
b a 0 0 0 a
b c a 0 a c
b c b 0 b c
a 0 a 0 a 0
a 0 b 0 b 0
a b c 0 c b
a b 0 0 0 b
c 0 c 0 c 0
c 0 0 0 0 0
c b a 0 a b
c b b 0 b b
a a 0 0 0 a
a a c 0 c a
a c b 0 b c
a c a 0 a c
c a b 0 b a
c a a 0 a a
c c 0 0 0 c
c c c 0 c c

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 2x2 + 10x3 + 5x4 + 13x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)3 (X_b)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)3 (X_b)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)2 (X_b)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)1 (X_b)2 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_b)4 (X_c)1 + (X_0)3 (X_a)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)4 (X_c)1 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0

Is it a nice code?: No

Generator Matrix-1692

a 0 a 0 a 0
0 a a 0 a a
b 0 b 0 b 0
0 b b 0 b b
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b b 0 b b
0 b a 0 a a
b 0 b 0 b 0
b 0 a 0 a c
b b 0 0 0 b
b b c 0 c a
0 a a 0 a a
0 a b 0 b b
0 c c 0 c c
0 c 0 0 0 0
b a c 0 c a
b a 0 0 0 b
b c a 0 a c
b c b 0 b 0
a 0 a 0 a 0
a 0 b 0 b c
a b c 0 c b
a b 0 0 0 a
c 0 c 0 c 0
c 0 0 0 0 c
c b a 0 a b
c b b 0 b a
a a 0 0 0 a
a a c 0 c b
a c b 0 b c
a c a 0 a 0
c a b 0 b a
c a a 0 a b
c c 0 0 0 c
c c c 0 c 0

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 1x2 + 9x3 + 10x4 + 10x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)2 (X_b)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)1 (X_b)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_b)3 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)2 (X_b)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0

Is it a nice code?: No

Generator Matrix-1693

a 0 a 0 a 0
0 a a 0 a a
b 0 b 0 b 0
0 b b 0 b b
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b b 0 b b
0 b a c b b
b 0 b 0 b 0
b 0 a c b 0
b b 0 0 0 b
b b c c 0 b
0 a a 0 a a
0 a b c a a
0 c c 0 c c
0 c 0 c c c
b a c 0 c a
b a 0 c c a
b c a 0 a c
b c b c a c
a 0 a 0 a 0
a 0 b c a 0
a b c 0 c b
a b 0 c c b
c 0 c 0 c 0
c 0 0 c c 0
c b a 0 a b
c b b c a b
a a 0 0 0 a
a a c c 0 a
a c b 0 b c
a c a c b c
c a b 0 b a
c a a c b a
c c 0 0 0 c
c c c c 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 7x3 + 6x4 + 13x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_b)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0

Is it a nice code?: No

Generator Matrix-1694

a 0 a 0 a 0
0 a a 0 a a
b 0 b 0 b 0
0 b b 0 b b
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b b 0 b b
0 b a c b a
b 0 b 0 b 0
b 0 a c b c
b b 0 0 0 b
b b c c 0 a
0 a a 0 a a
0 a b c a b
0 c c 0 c c
0 c 0 c c 0
b a c 0 c a
b a 0 c c b
b c a 0 a c
b c b c a 0
a 0 a 0 a 0
a 0 b c a c
a b c 0 c b
a b 0 c c a
c 0 c 0 c 0
c 0 0 c c c
c b a 0 a b
c b b c a a
a a 0 0 0 a
a a c c 0 b
a c b 0 b c
a c a c b 0
c a b 0 b a
c a a c b b
c c 0 0 0 c
c c c c 0 0

dmin: 3
Weight Enumerator: 1x0 + 0x1 + 0x2 + 8x3 + 5x4 + 16x5 + 2x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0

Is it a nice code?: No

Generator Matrix-1695

a 0 a 0 a 0
0 a a 0 a a
b 0 b 0 b 0
0 b b 0 b b
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b b 0 b b
0 b a c a b
b 0 b 0 b 0
b 0 a c a 0
b b 0 0 0 b
b b c c c b
0 a a 0 a a
0 a b c b a
0 c c 0 c c
0 c 0 c 0 c
b a c 0 c a
b a 0 c 0 a
b c a 0 a c
b c b c b c
a 0 a 0 a 0
a 0 b c b 0
a b c 0 c b
a b 0 c 0 b
c 0 c 0 c 0
c 0 0 c 0 0
c b a 0 a b
c b b c b b
a a 0 0 0 a
a a c c c a
a c b 0 b c
a c a c a c
c a b 0 b a
c a a c a a
c c 0 0 0 c
c c c c c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 8x3 + 7x4 + 8x5 + 7x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_b)3 + (X_b)3 (X_c)3 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_b)3 (X_c)3 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_b)4 (X_c)2 + (X_0)3 (X_a)3 + (X_a)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)4 (X_c)2 + (X_0)3 (X_c)3 + (X_c)6

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0

Is it a nice code?: No

Generator Matrix-1696

a 0 a 0 a 0
0 a a 0 a a
b 0 b 0 b 0
0 b b 0 b b
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b b 0 b b
0 b a c a a
b 0 b 0 b 0
b 0 a c a c
b b 0 0 0 b
b b c c c a
0 a a 0 a a
0 a b c b b
0 c c 0 c c
0 c 0 c 0 0
b a c 0 c a
b a 0 c 0 b
b c a 0 a c
b c b c b 0
a 0 a 0 a 0
a 0 b c b c
a b c 0 c b
a b 0 c 0 a
c 0 c 0 c 0
c 0 0 c 0 c
c b a 0 a b
c b b c b a
a a 0 0 0 a
a a c c c b
a c b 0 b c
a c a c a 0
c a b 0 b a
c a a c a b
c c 0 0 0 c
c c c c c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 7x3 + 6x4 + 13x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)2 (X_b)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)3 (X_b)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_b)3 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0

Is it a nice code?: No

Generator Matrix-1697

a 0 a 0 a 0
0 a a a 0 0
b 0 b 0 b 0
0 b b b 0 0
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b b b 0 0
0 b a b 0 0
b 0 b 0 b 0
b 0 a 0 b 0
b b 0 b b 0
b b c b b 0
0 a a a 0 0
0 a b a 0 0
0 c c c 0 0
0 c 0 c 0 0
b a c a b 0
b a 0 a b 0
b c a c b 0
b c b c b 0
a 0 a 0 a 0
a 0 b 0 a 0
a b c b a 0
a b 0 b a 0
c 0 c 0 c 0
c 0 0 0 c 0
c b a b c 0
c b b b c 0
a a 0 a a 0
a a c a a 0
a c b c a 0
a c a c a 0
c a b a c 0
c a a a c 0
c c 0 c c 0
c c c c c 0

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 2x2 + 10x3 + 5x4 + 13x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)3 (X_b)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)3 (X_b)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)2 (X_b)4 + (X_0)1 (X_b)4 (X_c)1 + (X_0)3 (X_a)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)4 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c

Is it a nice code?: No

Generator Matrix-1698

a 0 a 0 a 0
0 a a a 0 0
b 0 b 0 b 0
0 b b b 0 0
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b b b 0 0
0 b a b 0 c
b 0 b 0 b 0
b 0 a 0 b c
b b 0 b b 0
b b c b b c
0 a a a 0 0
0 a b a 0 c
0 c c c 0 0
0 c 0 c 0 c
b a c a b 0
b a 0 a b c
b c a c b 0
b c b c b c
a 0 a 0 a 0
a 0 b 0 a c
a b c b a 0
a b 0 b a c
c 0 c 0 c 0
c 0 0 0 c c
c b a b c 0
c b b b c c
a a 0 a a 0
a a c a a c
a c b c a 0
a c a c a c
c a b a c 0
c a a a c c
c c 0 c c 0
c c c c c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 8x3 + 7x4 + 8x5 + 7x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_b)4 + (X_b)4 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_b)3 (X_c)3 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_b)3 (X_c)3 + (X_0)2 (X_a)4 + (X_a)4 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)3 (X_c)3 + (X_0)2 (X_c)4 + (X_c)6

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c

Is it a nice code?: No

Generator Matrix-1699

a 0 a 0 a 0
0 a a a 0 0
b 0 b 0 b 0
0 b b b 0 0
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b b b 0 0
0 b a b c 0
b 0 b 0 b 0
b 0 a 0 a 0
b b 0 b b 0
b b c b a 0
0 a a a 0 0
0 a b a c 0
0 c c c 0 0
0 c 0 c c 0
b a c a b 0
b a 0 a a 0
b c a c b 0
b c b c a 0
a 0 a 0 a 0
a 0 b 0 b 0
a b c b a 0
a b 0 b b 0
c 0 c 0 c 0
c 0 0 0 0 0
c b a b c 0
c b b b 0 0
a a 0 a a 0
a a c a b 0
a c b c a 0
a c a c b 0
c a b a c 0
c a a a 0 0
c c 0 c c 0
c c c c 0 0

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 1x2 + 9x3 + 10x4 + 10x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_b)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)3 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)3 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c

Is it a nice code?: No

Generator Matrix-1700

a 0 a 0 a 0
0 a a a 0 0
b 0 b 0 b 0
0 b b b 0 0
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b b b 0 0
0 b a b c c
b 0 b 0 b 0
b 0 a 0 a c
b b 0 b b 0
b b c b a c
0 a a a 0 0
0 a b a c c
0 c c c 0 0
0 c 0 c c c
b a c a b 0
b a 0 a a c
b c a c b 0
b c b c a c
a 0 a 0 a 0
a 0 b 0 b c
a b c b a 0
a b 0 b b c
c 0 c 0 c 0
c 0 0 0 0 c
c b a b c 0
c b b b 0 c
a a 0 a a 0
a a c a b c
a c b c a 0
a c a c b c
c a b a c 0
c a a a 0 c
c c 0 c c 0
c c c c 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 7x3 + 6x4 + 13x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_b)4 + (X_a)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)4 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c

Is it a nice code?: No

Generator Matrix-1701

a 0 a 0 a 0
0 a a a 0 0
b 0 b 0 b 0
0 b b b 0 0
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b b b 0 0
0 b a a 0 0
b 0 b 0 b 0
b 0 a c b 0
b b 0 b b 0
b b c a b 0
0 a a a 0 0
0 a b b 0 0
0 c c c 0 0
0 c 0 0 0 0
b a c a b 0
b a 0 b b 0
b c a c b 0
b c b 0 b 0
a 0 a 0 a 0
a 0 b c a 0
a b c b a 0
a b 0 a a 0
c 0 c 0 c 0
c 0 0 c c 0
c b a b c 0
c b b a c 0
a a 0 a a 0
a a c b a 0
a c b c a 0
a c a 0 a 0
c a b a c 0
c a a b c 0
c c 0 c c 0
c c c 0 c 0

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 1x2 + 9x3 + 10x4 + 10x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)3 (X_a)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_b)3 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)3 (X_b)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c

Is it a nice code?: No

Generator Matrix-1702

a 0 a 0 a 0
0 a a a 0 0
b 0 b 0 b 0
0 b b b 0 0
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b b b 0 0
0 b a a 0 c
b 0 b 0 b 0
b 0 a c b c
b b 0 b b 0
b b c a b c
0 a a a 0 0
0 a b b 0 c
0 c c c 0 0
0 c 0 0 0 c
b a c a b 0
b a 0 b b c
b c a c b 0
b c b 0 b c
a 0 a 0 a 0
a 0 b c a c
a b c b a 0
a b 0 a a c
c 0 c 0 c 0
c 0 0 c c c
c b a b c 0
c b b a c c
a a 0 a a 0
a a c b a c
a c b c a 0
a c a 0 a c
c a b a c 0
c a a b c c
c c 0 c c 0
c c c 0 c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 7x3 + 6x4 + 13x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_b)4 + (X_a)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)4 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c

Is it a nice code?: No

Generator Matrix-1703

a 0 a 0 a 0
0 a a a 0 0
b 0 b 0 b 0
0 b b b 0 0
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b b b 0 0
0 b a a c 0
b 0 b 0 b 0
b 0 a c a 0
b b 0 b b 0
b b c a a 0
0 a a a 0 0
0 a b b c 0
0 c c c 0 0
0 c 0 0 c 0
b a c a b 0
b a 0 b a 0
b c a c b 0
b c b 0 a 0
a 0 a 0 a 0
a 0 b c b 0
a b c b a 0
a b 0 a b 0
c 0 c 0 c 0
c 0 0 c 0 0
c b a b c 0
c b b a 0 0
a a 0 a a 0
a a c b b 0
a c b c a 0
a c a 0 b 0
c a b a c 0
c a a b 0 0
c c 0 c c 0
c c c 0 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 2x2 + 8x3 + 13x4 + 8x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c

Is it a nice code?: No

Generator Matrix-1704

a 0 a 0 a 0
0 a a a 0 0
b 0 b 0 b 0
0 b b b 0 0
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b b b 0 0
0 b a a c c
b 0 b 0 b 0
b 0 a c a c
b b 0 b b 0
b b c a a c
0 a a a 0 0
0 a b b c c
0 c c c 0 0
0 c 0 0 c c
b a c a b 0
b a 0 b a c
b c a c b 0
b c b 0 a c
a 0 a 0 a 0
a 0 b c b c
a b c b a 0
a b 0 a b c
c 0 c 0 c 0
c 0 0 c 0 c
c b a b c 0
c b b a 0 c
a a 0 a a 0
a a c b b c
a c b c a 0
a c a 0 b c
c a b a c 0
c a a b 0 c
c c 0 c c 0
c c c 0 0 c

dmin: 3
Weight Enumerator: 1x0 + 0x1 + 0x2 + 8x3 + 5x4 + 16x5 + 2x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)3 (X_b)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_b)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_b)4 + (X_a)2 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c

Is it a nice code?: No

Generator Matrix-1705

a 0 a 0 a 0
0 a a a 0 a
b 0 b 0 b 0
0 b b b 0 b
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b b b 0 b
0 b a b 0 b
b 0 b 0 b 0
b 0 a 0 b 0
b b 0 b b b
b b c b b b
0 a a a 0 a
0 a b a 0 a
0 c c c 0 c
0 c 0 c 0 c
b a c a b a
b a 0 a b a
b c a c b c
b c b c b c
a 0 a 0 a 0
a 0 b 0 a 0
a b c b a b
a b 0 b a b
c 0 c 0 c 0
c 0 0 0 c 0
c b a b c b
c b b b c b
a a 0 a a a
a a c a a a
a c b c a c
a c a c a c
c a b a c a
c a a a c a
c c 0 c c c
c c c c c c

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 1x2 + 6x3 + 5x4 + 5x5 + 13x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)2 (X_b)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)3 (X_b)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)1 (X_b)5 + (X_b)5 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_a)1 (X_b)2 (X_c)3 + (X_b)3 (X_c)3 + (X_0)3 (X_a)3 + (X_0)3 (X_a)2 (X_b)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_b)4 (X_c)2 + (X_0)1 (X_a)5 + (X_a)5 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_a)3 (X_c)3 + (X_a)3 (X_b)1 (X_c)2 + (X_a)4 (X_c)2 + (X_0)1 (X_c)5 + (X_c)6

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1706

a 0 a 0 a 0
0 a a a 0 a
b 0 b 0 b 0
0 b b b 0 b
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b b b 0 b
0 b a b 0 a
b 0 b 0 b 0
b 0 a 0 b c
b b 0 b b b
b b c b b a
0 a a a 0 a
0 a b a 0 b
0 c c c 0 c
0 c 0 c 0 0
b a c a b a
b a 0 a b b
b c a c b c
b c b c b 0
a 0 a 0 a 0
a 0 b 0 a c
a b c b a b
a b 0 b a a
c 0 c 0 c 0
c 0 0 0 c c
c b a b c b
c b b b c a
a a 0 a a a
a a c a a b
a c b c a c
a c a c a 0
c a b a c a
c a a a c b
c c 0 c c c
c c c c c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 2x2 + 4x3 + 7x4 + 8x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_b)5 + (X_a)1 (X_b)4 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_a)1 (X_b)3 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)5 + (X_a)4 (X_b)1 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)3 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1707

a 0 a 0 a 0
0 a a a 0 a
b 0 b 0 b 0
0 b b b 0 b
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b b b 0 b
0 b a b c b
b 0 b 0 b 0
b 0 a 0 a 0
b b 0 b b b
b b c b a b
0 a a a 0 a
0 a b a c a
0 c c c 0 c
0 c 0 c c c
b a c a b a
b a 0 a a a
b c a c b c
b c b c a c
a 0 a 0 a 0
a 0 b 0 b 0
a b c b a b
a b 0 b b b
c 0 c 0 c 0
c 0 0 0 0 0
c b a b c b
c b b b 0 b
a a 0 a a a
a a c a b a
a c b c a c
a c a c b c
c a b a c a
c a a a 0 a
c c 0 c c c
c c c c 0 c

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 1x2 + 5x3 + 4x4 + 10x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)3 (X_b)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)1 (X_b)5 + (X_a)1 (X_b)4 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)4 (X_b)1 + (X_a)1 (X_b)2 (X_c)3 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)3 + (X_0)3 (X_a)1 (X_b)2 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)4 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_b)4 (X_c)1 + (X_0)1 (X_a)5 + (X_a)4 (X_b)1 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_a)2 (X_b)1 (X_c)3 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)4 (X_c)1 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1708

a 0 a 0 a 0
0 a a a 0 a
b 0 b 0 b 0
0 b b b 0 b
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b b b 0 b
0 b a b c a
b 0 b 0 b 0
b 0 a 0 a c
b b 0 b b b
b b c b a a
0 a a a 0 a
0 a b a c b
0 c c c 0 c
0 c 0 c c 0
b a c a b a
b a 0 a a b
b c a c b c
b c b c a 0
a 0 a 0 a 0
a 0 b 0 b c
a b c b a b
a b 0 b b a
c 0 c 0 c 0
c 0 0 0 0 c
c b a b c b
c b b b 0 a
a a 0 a a a
a a c a b b
a c b c a c
a c a c b 0
c a b a c a
c a a a 0 b
c c 0 c c c
c c c c 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 5x3 + 6x4 + 11x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_b)5 + (X_a)2 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)5 + (X_a)3 (X_b)2 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1709

a 0 a 0 a 0
0 a a a 0 a
b 0 b 0 b 0
0 b b b 0 b
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b b b 0 b
0 b a a 0 b
b 0 b 0 b 0
b 0 a c b 0
b b 0 b b b
b b c a b b
0 a a a 0 a
0 a b b 0 a
0 c c c 0 c
0 c 0 0 0 c
b a c a b a
b a 0 b b a
b c a c b c
b c b 0 b c
a 0 a 0 a 0
a 0 b c a 0
a b c b a b
a b 0 a a b
c 0 c 0 c 0
c 0 0 c c 0
c b a b c b
c b b a c b
a a 0 a a a
a a c b a a
a c b c a c
a c a 0 a c
c a b a c a
c a a b c a
c c 0 c c c
c c c 0 c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 2x2 + 4x3 + 7x4 + 8x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_b)5 + (X_a)1 (X_b)4 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_a)1 (X_b)3 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)5 + (X_a)4 (X_b)1 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)3 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1710

a 0 a 0 a 0
0 a a a 0 a
b 0 b 0 b 0
0 b b b 0 b
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b b b 0 b
0 b a a 0 a
b 0 b 0 b 0
b 0 a c b c
b b 0 b b b
b b c a b a
0 a a a 0 a
0 a b b 0 b
0 c c c 0 c
0 c 0 0 0 0
b a c a b a
b a 0 b b b
b c a c b c
b c b 0 b 0
a 0 a 0 a 0
a 0 b c a c
a b c b a b
a b 0 a a a
c 0 c 0 c 0
c 0 0 c c c
c b a b c b
c b b a c a
a a 0 a a a
a a c b a b
a c b c a c
a c a 0 a 0
c a b a c a
c a a b c b
c c 0 c c c
c c c 0 c 0

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 0x2 + 4x3 + 9x4 + 7x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)2 (X_b)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_b)5 + (X_a)2 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)4 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_b)3 (X_c)1 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)4 (X_b)1 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_a)1 (X_b)3 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)5 + (X_a)3 (X_b)2 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)3 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1711

a 0 a 0 a 0
0 a a a 0 a
b 0 b 0 b 0
0 b b b 0 b
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b b b 0 b
0 b a a c b
b 0 b 0 b 0
b 0 a c a 0
b b 0 b b b
b b c a a b
0 a a a 0 a
0 a b b c a
0 c c c 0 c
0 c 0 0 c c
b a c a b a
b a 0 b a a
b c a c b c
b c b 0 a c
a 0 a 0 a 0
a 0 b c b 0
a b c b a b
a b 0 a b b
c 0 c 0 c 0
c 0 0 c 0 0
c b a b c b
c b b a 0 b
a a 0 a a a
a a c b b a
a c b c a c
a c a 0 b c
c a b a c a
c a a b 0 a
c c 0 c c c
c c c 0 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 5x3 + 6x4 + 11x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_b)5 + (X_a)2 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)5 + (X_a)3 (X_b)2 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1712

a 0 a 0 a 0
0 a a a 0 a
b 0 b 0 b 0
0 b b b 0 b
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b b b 0 b
0 b a a c a
b 0 b 0 b 0
b 0 a c a c
b b 0 b b b
b b c a a a
0 a a a 0 a
0 a b b c b
0 c c c 0 c
0 c 0 0 c 0
b a c a b a
b a 0 b a b
b c a c b c
b c b 0 a 0
a 0 a 0 a 0
a 0 b c b c
a b c b a b
a b 0 a b a
c 0 c 0 c 0
c 0 0 c 0 c
c b a b c b
c b b a 0 a
a a 0 a a a
a a c b b b
a c b c a c
a c a 0 b 0
c a b a c a
c a a b 0 b
c c 0 c c c
c c c 0 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 5x3 + 6x4 + 11x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)2 (X_b)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)3 (X_b)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_b)5 + (X_a)3 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)5 + (X_a)2 (X_b)3 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1713

a 0 a 0 a 0
0 a a a a 0
b 0 b 0 b 0
0 b b b b 0
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b b b b 0
0 b a b b 0
b 0 b 0 b 0
b 0 a 0 b 0
b b 0 b 0 0
b b c b 0 0
0 a a a a 0
0 a b a a 0
0 c c c c 0
0 c 0 c c 0
b a c a c 0
b a 0 a c 0
b c a c a 0
b c b c a 0
a 0 a 0 a 0
a 0 b 0 a 0
a b c b c 0
a b 0 b c 0
c 0 c 0 c 0
c 0 0 0 c 0
c b a b a 0
c b b b a 0
a a 0 a 0 0
a a c a 0 0
a c b c b 0
a c a c b 0
c a b a b 0
c a a a b 0
c c 0 c 0 0
c c c c 0 0

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 1x2 + 9x3 + 10x4 + 10x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)2 (X_b)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)3 (X_b)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)3 (X_b)3 + (X_0)2 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c

Is it a nice code?: No

Generator Matrix-1714

a 0 a 0 a 0
0 a a a a 0
b 0 b 0 b 0
0 b b b b 0
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b b b b 0
0 b a b b c
b 0 b 0 b 0
b 0 a 0 b c
b b 0 b 0 0
b b c b 0 c
0 a a a a 0
0 a b a a c
0 c c c c 0
0 c 0 c c c
b a c a c 0
b a 0 a c c
b c a c a 0
b c b c a c
a 0 a 0 a 0
a 0 b 0 a c
a b c b c 0
a b 0 b c c
c 0 c 0 c 0
c 0 0 0 c c
c b a b a 0
c b b b a c
a a 0 a 0 0
a a c a 0 c
a c b c b 0
a c a c b c
c a b a b 0
c a a a b c
c c 0 c 0 0
c c c c 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 7x3 + 6x4 + 13x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_b)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c

Is it a nice code?: No

Generator Matrix-1715

a 0 a 0 a 0
0 a a a a 0
b 0 b 0 b 0
0 b b b b 0
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b b b b 0
0 b a b a 0
b 0 b 0 b 0
b 0 a 0 a 0
b b 0 b 0 0
b b c b c 0
0 a a a a 0
0 a b a b 0
0 c c c c 0
0 c 0 c 0 0
b a c a c 0
b a 0 a 0 0
b c a c a 0
b c b c b 0
a 0 a 0 a 0
a 0 b 0 b 0
a b c b c 0
a b 0 b 0 0
c 0 c 0 c 0
c 0 0 0 0 0
c b a b a 0
c b b b b 0
a a 0 a 0 0
a a c a c 0
a c b c b 0
a c a c a 0
c a b a b 0
c a a a a 0
c c 0 c 0 0
c c c c c 0

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 2x2 + 10x3 + 5x4 + 13x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)3 (X_b)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)3 (X_b)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)2 (X_b)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)1 (X_b)2 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_b)4 (X_c)1 + (X_0)3 (X_a)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)4 (X_c)1 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c

Is it a nice code?: No

Generator Matrix-1716

a 0 a 0 a 0
0 a a a a 0
b 0 b 0 b 0
0 b b b b 0
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b b b b 0
0 b a b a c
b 0 b 0 b 0
b 0 a 0 a c
b b 0 b 0 0
b b c b c c
0 a a a a 0
0 a b a b c
0 c c c c 0
0 c 0 c 0 c
b a c a c 0
b a 0 a 0 c
b c a c a 0
b c b c b c
a 0 a 0 a 0
a 0 b 0 b c
a b c b c 0
a b 0 b 0 c
c 0 c 0 c 0
c 0 0 0 0 c
c b a b a 0
c b b b b c
a a 0 a 0 0
a a c a c c
a c b c b 0
a c a c a c
c a b a b 0
c a a a a c
c c 0 c 0 0
c c c c c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 8x3 + 7x4 + 8x5 + 7x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_b)3 + (X_b)3 (X_c)3 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_b)3 (X_c)3 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_b)4 (X_c)2 + (X_0)3 (X_a)3 + (X_a)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)4 (X_c)2 + (X_0)3 (X_c)3 + (X_c)6

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c

Is it a nice code?: No

Generator Matrix-1717

a 0 a 0 a 0
0 a a a a 0
b 0 b 0 b 0
0 b b b b 0
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b b b b 0
0 b a a b 0
b 0 b 0 b 0
b 0 a c b 0
b b 0 b 0 0
b b c a 0 0
0 a a a a 0
0 a b b a 0
0 c c c c 0
0 c 0 0 c 0
b a c a c 0
b a 0 b c 0
b c a c a 0
b c b 0 a 0
a 0 a 0 a 0
a 0 b c a 0
a b c b c 0
a b 0 a c 0
c 0 c 0 c 0
c 0 0 c c 0
c b a b a 0
c b b a a 0
a a 0 a 0 0
a a c b 0 0
a c b c b 0
a c a 0 b 0
c a b a b 0
c a a b b 0
c c 0 c 0 0
c c c 0 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 2x2 + 8x3 + 13x4 + 8x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c

Is it a nice code?: No

Generator Matrix-1718

a 0 a 0 a 0
0 a a a a 0
b 0 b 0 b 0
0 b b b b 0
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b b b b 0
0 b a a b c
b 0 b 0 b 0
b 0 a c b c
b b 0 b 0 0
b b c a 0 c
0 a a a a 0
0 a b b a c
0 c c c c 0
0 c 0 0 c c
b a c a c 0
b a 0 b c c
b c a c a 0
b c b 0 a c
a 0 a 0 a 0
a 0 b c a c
a b c b c 0
a b 0 a c c
c 0 c 0 c 0
c 0 0 c c c
c b a b a 0
c b b a a c
a a 0 a 0 0
a a c b 0 c
a c b c b 0
a c a 0 b c
c a b a b 0
c a a b b c
c c 0 c 0 0
c c c 0 0 c

dmin: 3
Weight Enumerator: 1x0 + 0x1 + 0x2 + 8x3 + 5x4 + 16x5 + 2x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c

Is it a nice code?: No

Generator Matrix-1719

a 0 a 0 a 0
0 a a a a 0
b 0 b 0 b 0
0 b b b b 0
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b b b b 0
0 b a a a 0
b 0 b 0 b 0
b 0 a c a 0
b b 0 b 0 0
b b c a c 0
0 a a a a 0
0 a b b b 0
0 c c c c 0
0 c 0 0 0 0
b a c a c 0
b a 0 b 0 0
b c a c a 0
b c b 0 b 0
a 0 a 0 a 0
a 0 b c b 0
a b c b c 0
a b 0 a 0 0
c 0 c 0 c 0
c 0 0 c 0 0
c b a b a 0
c b b a b 0
a a 0 a 0 0
a a c b c 0
a c b c b 0
a c a 0 a 0
c a b a b 0
c a a b a 0
c c 0 c 0 0
c c c 0 c 0

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 1x2 + 9x3 + 10x4 + 10x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)2 (X_b)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)1 (X_b)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_b)3 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)2 (X_b)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c

Is it a nice code?: No

Generator Matrix-1720

a 0 a 0 a 0
0 a a a a 0
b 0 b 0 b 0
0 b b b b 0
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b b b b 0
0 b a a a c
b 0 b 0 b 0
b 0 a c a c
b b 0 b 0 0
b b c a c c
0 a a a a 0
0 a b b b c
0 c c c c 0
0 c 0 0 0 c
b a c a c 0
b a 0 b 0 c
b c a c a 0
b c b 0 b c
a 0 a 0 a 0
a 0 b c b c
a b c b c 0
a b 0 a 0 c
c 0 c 0 c 0
c 0 0 c 0 c
c b a b a 0
c b b a b c
a a 0 a 0 0
a a c b c c
a c b c b 0
a c a 0 a c
c a b a b 0
c a a b a c
c c 0 c 0 0
c c c 0 c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 7x3 + 6x4 + 13x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)2 (X_b)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)3 (X_b)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_b)3 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c

Is it a nice code?: No

Generator Matrix-1721

a 0 a 0 a 0
0 a a a a a
b 0 b 0 b 0
0 b b b b b
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b b b b b
0 b a b b b
b 0 b 0 b 0
b 0 a 0 b 0
b b 0 b 0 b
b b c b 0 b
0 a a a a a
0 a b a a a
0 c c c c c
0 c 0 c c c
b a c a c a
b a 0 a c a
b c a c a c
b c b c a c
a 0 a 0 a 0
a 0 b 0 a 0
a b c b c b
a b 0 b c b
c 0 c 0 c 0
c 0 0 0 c 0
c b a b a b
c b b b a b
a a 0 a 0 a
a a c a 0 a
a c b c b c
a c a c b c
c a b a b a
c a a a b a
c c 0 c 0 c
c c c c 0 c

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 1x2 + 5x3 + 4x4 + 10x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)1 (X_b)5 + (X_0)1 (X_a)1 (X_b)4 + (X_0)3 (X_b)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)2 (X_b)4 + (X_0)1 (X_b)4 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)4 (X_b)1 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)3 + (X_0)3 (X_a)2 (X_b)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_a)2 (X_b)3 (X_c)1 + (X_a)1 (X_b)4 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)4 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_a)2 (X_b)1 (X_c)3 + (X_a)3 (X_b)2 (X_c)1 + (X_a)4 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1722

a 0 a 0 a 0
0 a a a a a
b 0 b 0 b 0
0 b b b b b
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b b b b b
0 b a b b a
b 0 b 0 b 0
b 0 a 0 b c
b b 0 b 0 b
b b c b 0 a
0 a a a a a
0 a b a a b
0 c c c c c
0 c 0 c c 0
b a c a c a
b a 0 a c b
b c a c a c
b c b c a 0
a 0 a 0 a 0
a 0 b 0 a c
a b c b c b
a b 0 b c a
c 0 c 0 c 0
c 0 0 0 c c
c b a b a b
c b b b a a
a a 0 a 0 a
a a c a 0 b
a c b c b c
a c a c b 0
c a b a b a
c a a a b b
c c 0 c 0 c
c c c c 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 5x3 + 6x4 + 11x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)1 (X_b)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_a)2 (X_b)3 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)3 (X_b)2 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1723

a 0 a 0 a 0
0 a a a a a
b 0 b 0 b 0
0 b b b b b
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b b b b b
0 b a b a b
b 0 b 0 b 0
b 0 a 0 a 0
b b 0 b 0 b
b b c b c b
0 a a a a a
0 a b a b a
0 c c c c c
0 c 0 c 0 c
b a c a c a
b a 0 a 0 a
b c a c a c
b c b c b c
a 0 a 0 a 0
a 0 b 0 b 0
a b c b c b
a b 0 b 0 b
c 0 c 0 c 0
c 0 0 0 0 0
c b a b a b
c b b b b b
a a 0 a 0 a
a a c a c a
a c b c b c
a c a c a c
c a b a b a
c a a a a a
c c 0 c 0 c
c c c c c c

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 1x2 + 6x3 + 5x4 + 5x5 + 13x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)1 (X_b)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)3 (X_b)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)2 (X_b)4 + (X_b)4 (X_c)2 + (X_0)1 (X_a)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)3 (X_b)1 + (X_a)2 (X_b)1 (X_c)3 + (X_b)3 (X_c)3 + (X_0)3 (X_a)3 + (X_0)3 (X_a)1 (X_b)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)1 (X_b)3 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_b)5 (X_c)1 + (X_0)2 (X_a)4 + (X_a)4 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_a)3 (X_c)3 + (X_a)3 (X_b)2 (X_c)1 + (X_a)5 (X_c)1 + (X_0)2 (X_c)4 + (X_c)6

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1724

a 0 a 0 a 0
0 a a a a a
b 0 b 0 b 0
0 b b b b b
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b b b b b
0 b a b a a
b 0 b 0 b 0
b 0 a 0 a c
b b 0 b 0 b
b b c b c a
0 a a a a a
0 a b a b b
0 c c c c c
0 c 0 c 0 0
b a c a c a
b a 0 a 0 b
b c a c a c
b c b c b 0
a 0 a 0 a 0
a 0 b 0 b c
a b c b c b
a b 0 b 0 a
c 0 c 0 c 0
c 0 0 0 0 c
c b a b a b
c b b b b a
a a 0 a 0 a
a a c a c b
a c b c b c
a c a c a 0
c a b a b a
c a a a a b
c c 0 c 0 c
c c c c c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 2x2 + 4x3 + 7x4 + 8x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)1 (X_b)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_b)4 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_a)2 (X_b)3 (X_c)1 + (X_a)1 (X_b)4 (X_c)1 + (X_0)2 (X_a)4 + (X_a)3 (X_b)1 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)3 (X_c)2 + (X_a)3 (X_b)2 (X_c)1 + (X_a)4 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1725

a 0 a 0 a 0
0 a a a a a
b 0 b 0 b 0
0 b b b b b
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b b b b b
0 b a a b b
b 0 b 0 b 0
b 0 a c b 0
b b 0 b 0 b
b b c a 0 b
0 a a a a a
0 a b b a a
0 c c c c c
0 c 0 0 c c
b a c a c a
b a 0 b c a
b c a c a c
b c b 0 a c
a 0 a 0 a 0
a 0 b c a 0
a b c b c b
a b 0 a c b
c 0 c 0 c 0
c 0 0 c c 0
c b a b a b
c b b a a b
a a 0 a 0 a
a a c b 0 a
a c b c b c
a c a 0 b c
c a b a b a
c a a b b a
c c 0 c 0 c
c c c 0 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 5x3 + 6x4 + 11x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)1 (X_b)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_a)2 (X_b)3 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)3 (X_b)2 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1726

a 0 a 0 a 0
0 a a a a a
b 0 b 0 b 0
0 b b b b b
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b b b b b
0 b a a b a
b 0 b 0 b 0
b 0 a c b c
b b 0 b 0 b
b b c a 0 a
0 a a a a a
0 a b b a b
0 c c c c c
0 c 0 0 c 0
b a c a c a
b a 0 b c b
b c a c a c
b c b 0 a 0
a 0 a 0 a 0
a 0 b c a c
a b c b c b
a b 0 a c a
c 0 c 0 c 0
c 0 0 c c c
c b a b a b
c b b a a a
a a 0 a 0 a
a a c b 0 b
a c b c b c
a c a 0 b 0
c a b a b a
c a a b b b
c c 0 c 0 c
c c c 0 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 5x3 + 6x4 + 11x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)1 (X_b)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_a)2 (X_b)3 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1727

a 0 a 0 a 0
0 a a a a a
b 0 b 0 b 0
0 b b b b b
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b b b b b
0 b a a a b
b 0 b 0 b 0
b 0 a c a 0
b b 0 b 0 b
b b c a c b
0 a a a a a
0 a b b b a
0 c c c c c
0 c 0 0 0 c
b a c a c a
b a 0 b 0 a
b c a c a c
b c b 0 b c
a 0 a 0 a 0
a 0 b c b 0
a b c b c b
a b 0 a 0 b
c 0 c 0 c 0
c 0 0 c 0 0
c b a b a b
c b b a b b
a a 0 a 0 a
a a c b c a
a c b c b c
a c a 0 a c
c a b a b a
c a a b a a
c c 0 c 0 c
c c c 0 c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 2x2 + 4x3 + 7x4 + 8x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)1 (X_b)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_b)4 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_a)2 (X_b)3 (X_c)1 + (X_a)1 (X_b)4 (X_c)1 + (X_0)2 (X_a)4 + (X_a)3 (X_b)1 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)3 (X_c)2 + (X_a)3 (X_b)2 (X_c)1 + (X_a)4 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1728

a 0 a 0 a 0
0 a a a a a
b 0 b 0 b 0
0 b b b b b
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b b b b b
0 b a a a a
b 0 b 0 b 0
b 0 a c a c
b b 0 b 0 b
b b c a c a
0 a a a a a
0 a b b b b
0 c c c c c
0 c 0 0 0 0
b a c a c a
b a 0 b 0 b
b c a c a c
b c b 0 b 0
a 0 a 0 a 0
a 0 b c b c
a b c b c b
a b 0 a 0 a
c 0 c 0 c 0
c 0 0 c 0 c
c b a b a b
c b b a b a
a a 0 a 0 a
a a c b c b
a c b c b c
a c a 0 a 0
c a b a b a
c a a b a b
c c 0 c 0 c
c c c 0 c 0

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 0x2 + 4x3 + 9x4 + 7x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)1 (X_b)5 + (X_0)1 (X_a)4 (X_b)1 + (X_0)3 (X_b)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_b)4 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)5 + (X_0)1 (X_a)1 (X_b)4 + (X_0)1 (X_c)5 + (X_0)5 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)3 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_b)3 (X_c)1 + (X_0)3 (X_a)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)3 (X_b)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_a)2 (X_b)3 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_a)2 (X_b)2 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)3 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1729

a 0 a 0 a a
0 a a 0 0 0
b 0 b 0 b b
0 b b 0 0 0
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b b 0 0 0
0 b a 0 0 0
b 0 b 0 b b
b 0 a 0 b b
b b 0 0 b b
b b c 0 b b
0 a a 0 0 0
0 a b 0 0 0
0 c c 0 0 0
0 c 0 0 0 0
b a c 0 b b
b a 0 0 b b
b c a 0 b b
b c b 0 b b
a 0 a 0 a a
a 0 b 0 a a
a b c 0 a a
a b 0 0 a a
c 0 c 0 c c
c 0 0 0 c c
c b a 0 c c
c b b 0 c c
a a 0 0 a a
a a c 0 a a
a c b 0 a a
a c a 0 a a
c a b 0 c c
c a a 0 c c
c c 0 0 c c
c c c 0 c c

dmin: 1
Weight Enumerator: 1x0 + 2x1 + 5x2 + 1x3 + 10x4 + 13x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)4 (X_b)2 + (X_0)4 (X_a)1 (X_b)1 + (X_0)2 (X_b)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)2 (X_b)4 + (X_0)1 (X_b)4 (X_c)1 + (X_0)4 (X_a)2 + (X_0)4 (X_a)1 (X_b)1 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_b)4 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)3 (X_b)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)4 + (X_0)1 (X_a)4 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)4 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)2 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0

Is it a nice code?: No

Generator Matrix-1730

a 0 a 0 a a
0 a a 0 0 0
b 0 b 0 b b
0 b b 0 0 0
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b b 0 0 0
0 b a 0 0 c
b 0 b 0 b b
b 0 a 0 b a
b b 0 0 b b
b b c 0 b a
0 a a 0 0 0
0 a b 0 0 c
0 c c 0 0 0
0 c 0 0 0 c
b a c 0 b b
b a 0 0 b a
b c a 0 b b
b c b 0 b a
a 0 a 0 a a
a 0 b 0 a b
a b c 0 a a
a b 0 0 a b
c 0 c 0 c c
c 0 0 0 c 0
c b a 0 c c
c b b 0 c 0
a a 0 0 a a
a a c 0 a b
a c b 0 a a
a c a 0 a b
c a b 0 c c
c a a 0 c 0
c c 0 0 c c
c c c 0 c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 6x2 + 2x3 + 13x4 + 10x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_b)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)4 (X_a)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0

Is it a nice code?: No

Generator Matrix-1731

a 0 a 0 a a
0 a a 0 0 0
b 0 b 0 b b
0 b b 0 0 0
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b b 0 0 0
0 b a 0 c 0
b 0 b 0 b b
b 0 a 0 a b
b b 0 0 b b
b b c 0 a b
0 a a 0 0 0
0 a b 0 c 0
0 c c 0 0 0
0 c 0 0 c 0
b a c 0 b b
b a 0 0 a b
b c a 0 b b
b c b 0 a b
a 0 a 0 a a
a 0 b 0 b a
a b c 0 a a
a b 0 0 b a
c 0 c 0 c c
c 0 0 0 0 c
c b a 0 c c
c b b 0 0 c
a a 0 0 a a
a a c 0 b a
a c b 0 a a
a c a 0 b a
c a b 0 c c
c a a 0 0 c
c c 0 0 c c
c c c 0 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 6x2 + 2x3 + 13x4 + 10x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_b)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)4 (X_a)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0

Is it a nice code?: No

Generator Matrix-1732

a 0 a 0 a a
0 a a 0 0 0
b 0 b 0 b b
0 b b 0 0 0
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b b 0 0 0
0 b a 0 c c
b 0 b 0 b b
b 0 a 0 a a
b b 0 0 b b
b b c 0 a a
0 a a 0 0 0
0 a b 0 c c
0 c c 0 0 0
0 c 0 0 c c
b a c 0 b b
b a 0 0 a a
b c a 0 b b
b c b 0 a a
a 0 a 0 a a
a 0 b 0 b b
a b c 0 a a
a b 0 0 b b
c 0 c 0 c c
c 0 0 0 0 0
c b a 0 c c
c b b 0 0 0
a a 0 0 a a
a a c 0 b b
a c b 0 a a
a c a 0 b b
c a b 0 c c
c a a 0 0 0
c c 0 0 c c
c c c 0 0 0

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 3x2 + 5x3 + 12x4 + 10x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_b)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)3 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_a)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0

Is it a nice code?: No

Generator Matrix-1733

a 0 a 0 a a
0 a a 0 0 0
b 0 b 0 b b
0 b b 0 0 0
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b b 0 0 0
0 b a c 0 0
b 0 b 0 b b
b 0 a c b b
b b 0 0 b b
b b c c b b
0 a a 0 0 0
0 a b c 0 0
0 c c 0 0 0
0 c 0 c 0 0
b a c 0 b b
b a 0 c b b
b c a 0 b b
b c b c b b
a 0 a 0 a a
a 0 b c a a
a b c 0 a a
a b 0 c a a
c 0 c 0 c c
c 0 0 c c c
c b a 0 c c
c b b c c c
a a 0 0 a a
a a c c a a
a c b 0 a a
a c a c a a
c a b 0 c c
c a a c c c
c c 0 0 c c
c c c c c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 5x2 + 2x3 + 7x4 + 10x5 + 7x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_b)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_b)4 + (X_b)4 (X_c)2 + (X_0)4 (X_a)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_b)4 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_b)2 (X_c)4 + (X_0)2 (X_a)4 + (X_a)4 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)4 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_a)2 (X_c)4 + (X_0)2 (X_c)4 + (X_c)6

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0

Is it a nice code?: No

Generator Matrix-1734

a 0 a 0 a a
0 a a 0 0 0
b 0 b 0 b b
0 b b 0 0 0
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b b 0 0 0
0 b a c 0 c
b 0 b 0 b b
b 0 a c b a
b b 0 0 b b
b b c c b a
0 a a 0 0 0
0 a b c 0 c
0 c c 0 0 0
0 c 0 c 0 c
b a c 0 b b
b a 0 c b a
b c a 0 b b
b c b c b a
a 0 a 0 a a
a 0 b c a b
a b c 0 a a
a b 0 c a b
c 0 c 0 c c
c 0 0 c c 0
c b a 0 c c
c b b c c 0
a a 0 0 a a
a a c c a b
a c b 0 a a
a c a c a b
c a b 0 c c
c a a c c 0
c c 0 0 c c
c c c c c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 3x3 + 8x4 + 13x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_b)4 + (X_a)1 (X_b)3 (X_c)2 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)4 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)2 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0

Is it a nice code?: No

Generator Matrix-1735

a 0 a 0 a a
0 a a 0 0 0
b 0 b 0 b b
0 b b 0 0 0
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b b 0 0 0
0 b a c c 0
b 0 b 0 b b
b 0 a c a b
b b 0 0 b b
b b c c a b
0 a a 0 0 0
0 a b c c 0
0 c c 0 0 0
0 c 0 c c 0
b a c 0 b b
b a 0 c a b
b c a 0 b b
b c b c a b
a 0 a 0 a a
a 0 b c b a
a b c 0 a a
a b 0 c b a
c 0 c 0 c c
c 0 0 c 0 c
c b a 0 c c
c b b c 0 c
a a 0 0 a a
a a c c b a
a c b 0 a a
a c a c b a
c a b 0 c c
c a a c 0 c
c c 0 0 c c
c c c c 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 3x3 + 8x4 + 13x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_b)4 + (X_a)1 (X_b)3 (X_c)2 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)4 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)2 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0

Is it a nice code?: No

Generator Matrix-1736

a 0 a 0 a a
0 a a 0 0 0
b 0 b 0 b b
0 b b 0 0 0
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b b 0 0 0
0 b a c c c
b 0 b 0 b b
b 0 a c a a
b b 0 0 b b
b b c c a a
0 a a 0 0 0
0 a b c c c
0 c c 0 0 0
0 c 0 c c c
b a c 0 b b
b a 0 c a a
b c a 0 b b
b c b c a a
a 0 a 0 a a
a 0 b c b b
a b c 0 a a
a b 0 c b b
c 0 c 0 c c
c 0 0 c 0 0
c b a 0 c c
c b b c 0 0
a a 0 0 a a
a a c c b b
a c b 0 a a
a c a c b b
c a b 0 c c
c a a c 0 0
c c 0 0 c c
c c c c 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 0x3 + 11x4 + 12x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)4 (X_b)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_b)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_b)4 + (X_a)2 (X_b)2 (X_c)2 + (X_0)4 (X_a)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0

Is it a nice code?: No

Generator Matrix-1737

a 0 a 0 a a
0 a a 0 0 a
b 0 b 0 b b
0 b b 0 0 b
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b b 0 0 b
0 b a 0 0 b
b 0 b 0 b b
b 0 a 0 b b
b b 0 0 b 0
b b c 0 b 0
0 a a 0 0 a
0 a b 0 0 a
0 c c 0 0 c
0 c 0 0 0 c
b a c 0 b c
b a 0 0 b c
b c a 0 b a
b c b 0 b a
a 0 a 0 a a
a 0 b 0 a a
a b c 0 a c
a b 0 0 a c
c 0 c 0 c c
c 0 0 0 c c
c b a 0 c a
c b b 0 c a
a a 0 0 a 0
a a c 0 a 0
a c b 0 a b
a c a 0 a b
c a b 0 c b
c a a 0 c b
c c 0 0 c 0
c c c 0 c 0

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 1x2 + 9x3 + 10x4 + 10x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)3 (X_b)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)2 (X_b)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)3 (X_b)3 + (X_0)2 (X_b)3 (X_c)1 + (X_0)3 (X_a)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0

Is it a nice code?: No

Generator Matrix-1738

a 0 a 0 a a
0 a a 0 0 a
b 0 b 0 b b
0 b b 0 0 b
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b b 0 0 b
0 b a 0 0 a
b 0 b 0 b b
b 0 a 0 b a
b b 0 0 b 0
b b c 0 b c
0 a a 0 0 a
0 a b 0 0 b
0 c c 0 0 c
0 c 0 0 0 0
b a c 0 b c
b a 0 0 b 0
b c a 0 b a
b c b 0 b b
a 0 a 0 a a
a 0 b 0 a b
a b c 0 a c
a b 0 0 a 0
c 0 c 0 c c
c 0 0 0 c 0
c b a 0 c a
c b b 0 c b
a a 0 0 a 0
a a c 0 a c
a c b 0 a b
a c a 0 a a
c a b 0 c b
c a a 0 c a
c c 0 0 c 0
c c c 0 c c

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 2x2 + 10x3 + 5x4 + 13x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)3 (X_b)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)1 (X_b)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_b)4 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)2 (X_b)1 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)4 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)3 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0

Is it a nice code?: No

Generator Matrix-1739

a 0 a 0 a a
0 a a 0 0 a
b 0 b 0 b b
0 b b 0 0 b
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b b 0 0 b
0 b a 0 c b
b 0 b 0 b b
b 0 a 0 a b
b b 0 0 b 0
b b c 0 a 0
0 a a 0 0 a
0 a b 0 c a
0 c c 0 0 c
0 c 0 0 c c
b a c 0 b c
b a 0 0 a c
b c a 0 b a
b c b 0 a a
a 0 a 0 a a
a 0 b 0 b a
a b c 0 a c
a b 0 0 b c
c 0 c 0 c c
c 0 0 0 0 c
c b a 0 c a
c b b 0 0 a
a a 0 0 a 0
a a c 0 b 0
a c b 0 a b
a c a 0 b b
c a b 0 c b
c a a 0 0 b
c c 0 0 c 0
c c c 0 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 2x2 + 8x3 + 13x4 + 8x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0

Is it a nice code?: No

Generator Matrix-1740

a 0 a 0 a a
0 a a 0 0 a
b 0 b 0 b b
0 b b 0 0 b
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b b 0 0 b
0 b a 0 c a
b 0 b 0 b b
b 0 a 0 a a
b b 0 0 b 0
b b c 0 a c
0 a a 0 0 a
0 a b 0 c b
0 c c 0 0 c
0 c 0 0 c 0
b a c 0 b c
b a 0 0 a 0
b c a 0 b a
b c b 0 a b
a 0 a 0 a a
a 0 b 0 b b
a b c 0 a c
a b 0 0 b 0
c 0 c 0 c c
c 0 0 0 0 0
c b a 0 c a
c b b 0 0 b
a a 0 0 a 0
a a c 0 b c
a c b 0 a b
a c a 0 b a
c a b 0 c b
c a a 0 0 a
c c 0 0 c 0
c c c 0 0 c

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 1x2 + 9x3 + 10x4 + 10x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_b)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)2 (X_b)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)1 (X_b)2 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_b)3 (X_c)1 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)3 (X_c)1 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0

Is it a nice code?: No

Generator Matrix-1741

a 0 a 0 a a
0 a a 0 0 a
b 0 b 0 b b
0 b b 0 0 b
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b b 0 0 b
0 b a c 0 b
b 0 b 0 b b
b 0 a c b b
b b 0 0 b 0
b b c c b 0
0 a a 0 0 a
0 a b c 0 a
0 c c 0 0 c
0 c 0 c 0 c
b a c 0 b c
b a 0 c b c
b c a 0 b a
b c b c b a
a 0 a 0 a a
a 0 b c a a
a b c 0 a c
a b 0 c a c
c 0 c 0 c c
c 0 0 c c c
c b a 0 c a
c b b c c a
a a 0 0 a 0
a a c c a 0
a c b 0 a b
a c a c a b
c a b 0 c b
c a a c c b
c c 0 0 c 0
c c c c c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 7x3 + 6x4 + 13x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)3 (X_b)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0

Is it a nice code?: No

Generator Matrix-1742

a 0 a 0 a a
0 a a 0 0 a
b 0 b 0 b b
0 b b 0 0 b
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b b 0 0 b
0 b a c 0 a
b 0 b 0 b b
b 0 a c b a
b b 0 0 b 0
b b c c b c
0 a a 0 0 a
0 a b c 0 b
0 c c 0 0 c
0 c 0 c 0 0
b a c 0 b c
b a 0 c b 0
b c a 0 b a
b c b c b b
a 0 a 0 a a
a 0 b c a b
a b c 0 a c
a b 0 c a 0
c 0 c 0 c c
c 0 0 c c 0
c b a 0 c a
c b b c c b
a a 0 0 a 0
a a c c a c
a c b 0 a b
a c a c a a
c a b 0 c b
c a a c c a
c c 0 0 c 0
c c c c c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 8x3 + 7x4 + 8x5 + 7x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_b)3 + (X_b)3 (X_c)3 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_b)4 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_b)3 (X_c)3 + (X_0)3 (X_a)3 + (X_a)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)4 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)3 (X_c)3 + (X_0)3 (X_c)3 + (X_c)6

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0

Is it a nice code?: No

Generator Matrix-1743

a 0 a 0 a a
0 a a 0 0 a
b 0 b 0 b b
0 b b 0 0 b
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b b 0 0 b
0 b a c c b
b 0 b 0 b b
b 0 a c a b
b b 0 0 b 0
b b c c a 0
0 a a 0 0 a
0 a b c c a
0 c c 0 0 c
0 c 0 c c c
b a c 0 b c
b a 0 c a c
b c a 0 b a
b c b c a a
a 0 a 0 a a
a 0 b c b a
a b c 0 a c
a b 0 c b c
c 0 c 0 c c
c 0 0 c 0 c
c b a 0 c a
c b b c 0 a
a a 0 0 a 0
a a c c b 0
a c b 0 a b
a c a c b b
c a b 0 c b
c a a c 0 b
c c 0 0 c 0
c c c c 0 0

dmin: 3
Weight Enumerator: 1x0 + 0x1 + 0x2 + 8x3 + 5x4 + 16x5 + 2x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0

Is it a nice code?: No

Generator Matrix-1744

a 0 a 0 a a
0 a a 0 0 a
b 0 b 0 b b
0 b b 0 0 b
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b b 0 0 b
0 b a c c a
b 0 b 0 b b
b 0 a c a a
b b 0 0 b 0
b b c c a c
0 a a 0 0 a
0 a b c c b
0 c c 0 0 c
0 c 0 c c 0
b a c 0 b c
b a 0 c a 0
b c a 0 b a
b c b c a b
a 0 a 0 a a
a 0 b c b b
a b c 0 a c
a b 0 c b 0
c 0 c 0 c c
c 0 0 c 0 0
c b a 0 c a
c b b c 0 b
a a 0 0 a 0
a a c c b c
a c b 0 a b
a c a c b a
c a b 0 c b
c a a c 0 a
c c 0 0 c 0
c c c c 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 7x3 + 6x4 + 13x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)3 (X_b)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)3 (X_b)3 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)3 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0

Is it a nice code?: No

Generator Matrix-1745

a 0 a 0 a a
0 a a 0 a 0
b 0 b 0 b b
0 b b 0 b 0
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b b 0 b 0
0 b a 0 b 0
b 0 b 0 b b
b 0 a 0 b b
b b 0 0 0 b
b b c 0 0 b
0 a a 0 a 0
0 a b 0 a 0
0 c c 0 c 0
0 c 0 0 c 0
b a c 0 c b
b a 0 0 c b
b c a 0 a b
b c b 0 a b
a 0 a 0 a a
a 0 b 0 a a
a b c 0 c a
a b 0 0 c a
c 0 c 0 c c
c 0 0 0 c c
c b a 0 a c
c b b 0 a c
a a 0 0 0 a
a a c 0 0 a
a c b 0 b a
a c a 0 b a
c a b 0 b c
c a a 0 b c
c c 0 0 0 c
c c c 0 0 c

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 1x2 + 9x3 + 10x4 + 10x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)3 (X_b)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)2 (X_b)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)3 (X_b)3 + (X_0)2 (X_b)3 (X_c)1 + (X_0)3 (X_a)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0

Is it a nice code?: No

Generator Matrix-1746

a 0 a 0 a a
0 a a 0 a 0
b 0 b 0 b b
0 b b 0 b 0
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b b 0 b 0
0 b a 0 b c
b 0 b 0 b b
b 0 a 0 b a
b b 0 0 0 b
b b c 0 0 a
0 a a 0 a 0
0 a b 0 a c
0 c c 0 c 0
0 c 0 0 c c
b a c 0 c b
b a 0 0 c a
b c a 0 a b
b c b 0 a a
a 0 a 0 a a
a 0 b 0 a b
a b c 0 c a
a b 0 0 c b
c 0 c 0 c c
c 0 0 0 c 0
c b a 0 a c
c b b 0 a 0
a a 0 0 0 a
a a c 0 0 b
a c b 0 b a
a c a 0 b b
c a b 0 b c
c a a 0 b 0
c c 0 0 0 c
c c c 0 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 2x2 + 8x3 + 13x4 + 8x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0

Is it a nice code?: No

Generator Matrix-1747

a 0 a 0 a a
0 a a 0 a 0
b 0 b 0 b b
0 b b 0 b 0
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b b 0 b 0
0 b a 0 a 0
b 0 b 0 b b
b 0 a 0 a b
b b 0 0 0 b
b b c 0 c b
0 a a 0 a 0
0 a b 0 b 0
0 c c 0 c 0
0 c 0 0 0 0
b a c 0 c b
b a 0 0 0 b
b c a 0 a b
b c b 0 b b
a 0 a 0 a a
a 0 b 0 b a
a b c 0 c a
a b 0 0 0 a
c 0 c 0 c c
c 0 0 0 0 c
c b a 0 a c
c b b 0 b c
a a 0 0 0 a
a a c 0 c a
a c b 0 b a
a c a 0 a a
c a b 0 b c
c a a 0 a c
c c 0 0 0 c
c c c 0 c c

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 2x2 + 10x3 + 5x4 + 13x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)3 (X_b)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)1 (X_b)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_b)4 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)2 (X_b)1 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)4 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)3 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0

Is it a nice code?: No

Generator Matrix-1748

a 0 a 0 a a
0 a a 0 a 0
b 0 b 0 b b
0 b b 0 b 0
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b b 0 b 0
0 b a 0 a c
b 0 b 0 b b
b 0 a 0 a a
b b 0 0 0 b
b b c 0 c a
0 a a 0 a 0
0 a b 0 b c
0 c c 0 c 0
0 c 0 0 0 c
b a c 0 c b
b a 0 0 0 a
b c a 0 a b
b c b 0 b a
a 0 a 0 a a
a 0 b 0 b b
a b c 0 c a
a b 0 0 0 b
c 0 c 0 c c
c 0 0 0 0 0
c b a 0 a c
c b b 0 b 0
a a 0 0 0 a
a a c 0 c b
a c b 0 b a
a c a 0 a b
c a b 0 b c
c a a 0 a 0
c c 0 0 0 c
c c c 0 c 0

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 1x2 + 9x3 + 10x4 + 10x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_b)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)2 (X_b)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)1 (X_b)2 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_b)3 (X_c)1 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)3 (X_c)1 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0

Is it a nice code?: No

Generator Matrix-1749

a 0 a 0 a a
0 a a 0 a 0
b 0 b 0 b b
0 b b 0 b 0
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b b 0 b 0
0 b a c b 0
b 0 b 0 b b
b 0 a c b b
b b 0 0 0 b
b b c c 0 b
0 a a 0 a 0
0 a b c a 0
0 c c 0 c 0
0 c 0 c c 0
b a c 0 c b
b a 0 c c b
b c a 0 a b
b c b c a b
a 0 a 0 a a
a 0 b c a a
a b c 0 c a
a b 0 c c a
c 0 c 0 c c
c 0 0 c c c
c b a 0 a c
c b b c a c
a a 0 0 0 a
a a c c 0 a
a c b 0 b a
a c a c b a
c a b 0 b c
c a a c b c
c c 0 0 0 c
c c c c 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 7x3 + 6x4 + 13x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)3 (X_b)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0

Is it a nice code?: No

Generator Matrix-1750

a 0 a 0 a a
0 a a 0 a 0
b 0 b 0 b b
0 b b 0 b 0
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b b 0 b 0
0 b a c b c
b 0 b 0 b b
b 0 a c b a
b b 0 0 0 b
b b c c 0 a
0 a a 0 a 0
0 a b c a c
0 c c 0 c 0
0 c 0 c c c
b a c 0 c b
b a 0 c c a
b c a 0 a b
b c b c a a
a 0 a 0 a a
a 0 b c a b
a b c 0 c a
a b 0 c c b
c 0 c 0 c c
c 0 0 c c 0
c b a 0 a c
c b b c a 0
a a 0 0 0 a
a a c c 0 b
a c b 0 b a
a c a c b b
c a b 0 b c
c a a c b 0
c c 0 0 0 c
c c c c 0 0

dmin: 3
Weight Enumerator: 1x0 + 0x1 + 0x2 + 8x3 + 5x4 + 16x5 + 2x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0

Is it a nice code?: No

Generator Matrix-1751

a 0 a 0 a a
0 a a 0 a 0
b 0 b 0 b b
0 b b 0 b 0
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b b 0 b 0
0 b a c a 0
b 0 b 0 b b
b 0 a c a b
b b 0 0 0 b
b b c c c b
0 a a 0 a 0
0 a b c b 0
0 c c 0 c 0
0 c 0 c 0 0
b a c 0 c b
b a 0 c 0 b
b c a 0 a b
b c b c b b
a 0 a 0 a a
a 0 b c b a
a b c 0 c a
a b 0 c 0 a
c 0 c 0 c c
c 0 0 c 0 c
c b a 0 a c
c b b c b c
a a 0 0 0 a
a a c c c a
a c b 0 b a
a c a c a a
c a b 0 b c
c a a c a c
c c 0 0 0 c
c c c c c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 8x3 + 7x4 + 8x5 + 7x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_b)3 + (X_b)3 (X_c)3 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_b)4 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_b)3 (X_c)3 + (X_0)3 (X_a)3 + (X_a)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)4 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)3 (X_c)3 + (X_0)3 (X_c)3 + (X_c)6

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0

Is it a nice code?: No

Generator Matrix-1752

a 0 a 0 a a
0 a a 0 a 0
b 0 b 0 b b
0 b b 0 b 0
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b b 0 b 0
0 b a c a c
b 0 b 0 b b
b 0 a c a a
b b 0 0 0 b
b b c c c a
0 a a 0 a 0
0 a b c b c
0 c c 0 c 0
0 c 0 c 0 c
b a c 0 c b
b a 0 c 0 a
b c a 0 a b
b c b c b a
a 0 a 0 a a
a 0 b c b b
a b c 0 c a
a b 0 c 0 b
c 0 c 0 c c
c 0 0 c 0 0
c b a 0 a c
c b b c b 0
a a 0 0 0 a
a a c c c b
a c b 0 b a
a c a c a b
c a b 0 b c
c a a c a 0
c c 0 0 0 c
c c c c c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 7x3 + 6x4 + 13x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)3 (X_b)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)3 (X_b)3 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)3 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0

Is it a nice code?: No

Generator Matrix-1753

a 0 a 0 a a
0 a a 0 a a
b 0 b 0 b b
0 b b 0 b b
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b b 0 b b
0 b a 0 b b
b 0 b 0 b b
b 0 a 0 b b
b b 0 0 0 0
b b c 0 0 0
0 a a 0 a a
0 a b 0 a a
0 c c 0 c c
0 c 0 0 c c
b a c 0 c c
b a 0 0 c c
b c a 0 a a
b c b 0 a a
a 0 a 0 a a
a 0 b 0 a a
a b c 0 c c
a b 0 0 c c
c 0 c 0 c c
c 0 0 0 c c
c b a 0 a a
c b b 0 a a
a a 0 0 0 0
a a c 0 0 0
a c b 0 b b
a c a 0 b b
c a b 0 b b
c a a 0 b b
c c 0 0 0 0
c c c 0 0 0

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 3x2 + 5x3 + 12x4 + 10x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)2 (X_b)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)2 (X_b)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)4 (X_b)2 + (X_0)3 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)4 (X_a)2 + (X_0)3 (X_a)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0

Is it a nice code?: No

Generator Matrix-1754

a 0 a 0 a a
0 a a 0 a a
b 0 b 0 b b
0 b b 0 b b
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b b 0 b b
0 b a 0 b a
b 0 b 0 b b
b 0 a 0 b a
b b 0 0 0 0
b b c 0 0 c
0 a a 0 a a
0 a b 0 a b
0 c c 0 c c
0 c 0 0 c 0
b a c 0 c c
b a 0 0 c 0
b c a 0 a a
b c b 0 a b
a 0 a 0 a a
a 0 b 0 a b
a b c 0 c c
a b 0 0 c 0
c 0 c 0 c c
c 0 0 0 c 0
c b a 0 a a
c b b 0 a b
a a 0 0 0 0
a a c 0 0 c
a c b 0 b b
a c a 0 b a
c a b 0 b b
c a a 0 b a
c c 0 0 0 0
c c c 0 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 6x2 + 2x3 + 13x4 + 10x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0

Is it a nice code?: No

Generator Matrix-1755

a 0 a 0 a a
0 a a 0 a a
b 0 b 0 b b
0 b b 0 b b
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b b 0 b b
0 b a 0 a b
b 0 b 0 b b
b 0 a 0 a b
b b 0 0 0 0
b b c 0 c 0
0 a a 0 a a
0 a b 0 b a
0 c c 0 c c
0 c 0 0 0 c
b a c 0 c c
b a 0 0 0 c
b c a 0 a a
b c b 0 b a
a 0 a 0 a a
a 0 b 0 b a
a b c 0 c c
a b 0 0 0 c
c 0 c 0 c c
c 0 0 0 0 c
c b a 0 a a
c b b 0 b a
a a 0 0 0 0
a a c 0 c 0
a c b 0 b b
a c a 0 a b
c a b 0 b b
c a a 0 a b
c c 0 0 0 0
c c c 0 c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 6x2 + 2x3 + 13x4 + 10x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0

Is it a nice code?: No

Generator Matrix-1756

a 0 a 0 a a
0 a a 0 a a
b 0 b 0 b b
0 b b 0 b b
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b b 0 b b
0 b a 0 a a
b 0 b 0 b b
b 0 a 0 a a
b b 0 0 0 0
b b c 0 c c
0 a a 0 a a
0 a b 0 b b
0 c c 0 c c
0 c 0 0 0 0
b a c 0 c c
b a 0 0 0 0
b c a 0 a a
b c b 0 b b
a 0 a 0 a a
a 0 b 0 b b
a b c 0 c c
a b 0 0 0 0
c 0 c 0 c c
c 0 0 0 0 0
c b a 0 a a
c b b 0 b b
a a 0 0 0 0
a a c 0 c c
a c b 0 b b
a c a 0 a a
c a b 0 b b
c a a 0 a a
c c 0 0 0 0
c c c 0 c c

dmin: 1
Weight Enumerator: 1x0 + 2x1 + 5x2 + 1x3 + 10x4 + 13x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)2 (X_b)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)2 (X_b)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)4 (X_b)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_a)1 (X_b)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_b)4 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_a)1 (X_b)1 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_b)4 (X_c)1 + (X_0)4 (X_a)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)4 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)4 (X_c)1 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0

Is it a nice code?: No

Generator Matrix-1757

a 0 a 0 a a
0 a a 0 a a
b 0 b 0 b b
0 b b 0 b b
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b b 0 b b
0 b a c b b
b 0 b 0 b b
b 0 a c b b
b b 0 0 0 0
b b c c 0 0
0 a a 0 a a
0 a b c a a
0 c c 0 c c
0 c 0 c c c
b a c 0 c c
b a 0 c c c
b c a 0 a a
b c b c a a
a 0 a 0 a a
a 0 b c a a
a b c 0 c c
a b 0 c c c
c 0 c 0 c c
c 0 0 c c c
c b a 0 a a
c b b c a a
a a 0 0 0 0
a a c c 0 0
a c b 0 b b
a c a c b b
c a b 0 b b
c a a c b b
c c 0 0 0 0
c c c c 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 0x3 + 11x4 + 12x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0

Is it a nice code?: No

Generator Matrix-1758

a 0 a 0 a a
0 a a 0 a a
b 0 b 0 b b
0 b b 0 b b
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b b 0 b b
0 b a c b a
b 0 b 0 b b
b 0 a c b a
b b 0 0 0 0
b b c c 0 c
0 a a 0 a a
0 a b c a b
0 c c 0 c c
0 c 0 c c 0
b a c 0 c c
b a 0 c c 0
b c a 0 a a
b c b c a b
a 0 a 0 a a
a 0 b c a b
a b c 0 c c
a b 0 c c 0
c 0 c 0 c c
c 0 0 c c 0
c b a 0 a a
c b b c a b
a a 0 0 0 0
a a c c 0 c
a c b 0 b b
a c a c b a
c a b 0 b b
c a a c b a
c c 0 0 0 0
c c c c 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 3x3 + 8x4 + 13x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)4 (X_b)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)4 (X_a)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0

Is it a nice code?: No

Generator Matrix-1759

a 0 a 0 a a
0 a a 0 a a
b 0 b 0 b b
0 b b 0 b b
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b b 0 b b
0 b a c a b
b 0 b 0 b b
b 0 a c a b
b b 0 0 0 0
b b c c c 0
0 a a 0 a a
0 a b c b a
0 c c 0 c c
0 c 0 c 0 c
b a c 0 c c
b a 0 c 0 c
b c a 0 a a
b c b c b a
a 0 a 0 a a
a 0 b c b a
a b c 0 c c
a b 0 c 0 c
c 0 c 0 c c
c 0 0 c 0 c
c b a 0 a a
c b b c b a
a a 0 0 0 0
a a c c c 0
a c b 0 b b
a c a c a b
c a b 0 b b
c a a c a b
c c 0 0 0 0
c c c c c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 3x3 + 8x4 + 13x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)4 (X_b)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)4 (X_a)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0

Is it a nice code?: No

Generator Matrix-1760

a 0 a 0 a a
0 a a 0 a a
b 0 b 0 b b
0 b b 0 b b
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b b 0 b b
0 b a c a a
b 0 b 0 b b
b 0 a c a a
b b 0 0 0 0
b b c c c c
0 a a 0 a a
0 a b c b b
0 c c 0 c c
0 c 0 c 0 0
b a c 0 c c
b a 0 c 0 0
b c a 0 a a
b c b c b b
a 0 a 0 a a
a 0 b c b b
a b c 0 c c
a b 0 c 0 0
c 0 c 0 c c
c 0 0 c 0 0
c b a 0 a a
c b b c b b
a a 0 0 0 0
a a c c c c
a c b 0 b b
a c a c a a
c a b 0 b b
c a a c a a
c c 0 0 0 0
c c c c c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 5x2 + 2x3 + 7x4 + 10x5 + 7x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)2 (X_b)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)4 (X_b)2 + (X_b)2 (X_c)4 + (X_0)2 (X_a)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_b)4 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_b)4 (X_c)2 + (X_0)4 (X_a)2 + (X_a)2 (X_c)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)4 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)4 (X_c)2 + (X_0)4 (X_c)2 + (X_c)6

Dual Codewords:

0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0

Is it a nice code?: No

Generator Matrix-1761

a 0 a 0 a a
0 a a a 0 0
b 0 b 0 b b
0 b b b 0 0
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b b b 0 0
0 b a b 0 0
b 0 b 0 b b
b 0 a 0 b b
b b 0 b b b
b b c b b b
0 a a a 0 0
0 a b a 0 0
0 c c c 0 0
0 c 0 c 0 0
b a c a b b
b a 0 a b b
b c a c b b
b c b c b b
a 0 a 0 a a
a 0 b 0 a a
a b c b a a
a b 0 b a a
c 0 c 0 c c
c 0 0 0 c c
c b a b c c
c b b b c c
a a 0 a a a
a a c a a a
a c b c a a
a c a c a a
c a b a c c
c a a a c c
c c 0 c c c
c c c c c c

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 1x2 + 6x3 + 5x4 + 5x5 + 13x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)3 (X_b)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)2 (X_b)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_b)5 + (X_b)5 (X_c)1 + (X_0)3 (X_a)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_a)1 (X_b)3 (X_c)2 + (X_b)4 (X_c)2 + (X_0)2 (X_a)4 + (X_0)2 (X_a)3 (X_b)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_a)1 (X_b)2 (X_c)3 + (X_b)3 (X_c)3 + (X_0)1 (X_a)5 + (X_a)5 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_a)4 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_a)3 (X_c)3 + (X_0)1 (X_c)5 + (X_c)6

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1762

a 0 a 0 a a
0 a a a 0 0
b 0 b 0 b b
0 b b b 0 0
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b b b 0 0
0 b a b 0 c
b 0 b 0 b b
b 0 a 0 b a
b b 0 b b b
b b c b b a
0 a a a 0 0
0 a b a 0 c
0 c c c 0 0
0 c 0 c 0 c
b a c a b b
b a 0 a b a
b c a c b b
b c b c b a
a 0 a 0 a a
a 0 b 0 a b
a b c b a a
a b 0 b a b
c 0 c 0 c c
c 0 0 0 c 0
c b a b c c
c b b b c 0
a a 0 a a a
a a c a a b
a c b c a a
a c a c a b
c a b a c c
c a a a c 0
c c 0 c c c
c c c c c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 2x2 + 4x3 + 7x4 + 8x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_b)5 + (X_a)1 (X_b)4 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_a)1 (X_b)3 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)5 + (X_a)4 (X_b)1 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1763

a 0 a 0 a a
0 a a a 0 0
b 0 b 0 b b
0 b b b 0 0
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b b b 0 0
0 b a b c 0
b 0 b 0 b b
b 0 a 0 a b
b b 0 b b b
b b c b a b
0 a a a 0 0
0 a b a c 0
0 c c c 0 0
0 c 0 c c 0
b a c a b b
b a 0 a a b
b c a c b b
b c b c a b
a 0 a 0 a a
a 0 b 0 b a
a b c b a a
a b 0 b b a
c 0 c 0 c c
c 0 0 0 0 c
c b a b c c
c b b b 0 c
a a 0 a a a
a a c a b a
a c b c a a
a c a c b a
c a b a c c
c a a a 0 c
c c 0 c c c
c c c c 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 2x2 + 4x3 + 7x4 + 8x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_b)5 + (X_a)1 (X_b)4 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_a)1 (X_b)3 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)5 + (X_a)4 (X_b)1 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1764

a 0 a 0 a a
0 a a a 0 0
b 0 b 0 b b
0 b b b 0 0
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b b b 0 0
0 b a b c c
b 0 b 0 b b
b 0 a 0 a a
b b 0 b b b
b b c b a a
0 a a a 0 0
0 a b a c c
0 c c c 0 0
0 c 0 c c c
b a c a b b
b a 0 a a a
b c a c b b
b c b c a a
a 0 a 0 a a
a 0 b 0 b b
a b c b a a
a b 0 b b b
c 0 c 0 c c
c 0 0 0 0 0
c b a b c c
c b b b 0 0
a a 0 a a a
a a c a b b
a c b c a a
a c a c b b
c a b a c c
c a a a 0 0
c c 0 c c c
c c c c 0 0

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 0x2 + 4x3 + 9x4 + 7x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_b)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_b)5 + (X_a)2 (X_b)3 (X_c)1 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)4 (X_b)1 + (X_a)1 (X_b)3 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)2 (X_a)1 (X_b)3 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)4 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)5 + (X_a)3 (X_b)2 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)3 (X_c)1 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1765

a 0 a 0 a a
0 a a a 0 0
b 0 b 0 b b
0 b b b 0 0
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b b b 0 0
0 b a a 0 0
b 0 b 0 b b
b 0 a c b b
b b 0 b b b
b b c a b b
0 a a a 0 0
0 a b b 0 0
0 c c c 0 0
0 c 0 0 0 0
b a c a b b
b a 0 b b b
b c a c b b
b c b 0 b b
a 0 a 0 a a
a 0 b c a a
a b c b a a
a b 0 a a a
c 0 c 0 c c
c 0 0 c c c
c b a b c c
c b b a c c
a a 0 a a a
a a c b a a
a c b c a a
a c a 0 a a
c a b a c c
c a a b c c
c c 0 c c c
c c c 0 c c

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 1x2 + 5x3 + 4x4 + 10x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_b)5 + (X_a)1 (X_b)4 (X_c)1 + (X_0)3 (X_a)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)4 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_b)4 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)4 (X_b)1 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_a)1 (X_b)2 (X_c)3 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)5 + (X_a)4 (X_b)1 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)4 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1766

a 0 a 0 a a
0 a a a 0 0
b 0 b 0 b b
0 b b b 0 0
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b b b 0 0
0 b a a 0 c
b 0 b 0 b b
b 0 a c b a
b b 0 b b b
b b c a b a
0 a a a 0 0
0 a b b 0 c
0 c c c 0 0
0 c 0 0 0 c
b a c a b b
b a 0 b b a
b c a c b b
b c b 0 b a
a 0 a 0 a a
a 0 b c a b
a b c b a a
a b 0 a a b
c 0 c 0 c c
c 0 0 c c 0
c b a b c c
c b b a c 0
a a 0 a a a
a a c b a b
a c b c a a
a c a 0 a b
c a b a c c
c a a b c 0
c c 0 c c c
c c c 0 c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 5x3 + 6x4 + 11x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_b)5 + (X_a)2 (X_b)3 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)5 + (X_a)3 (X_b)2 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1767

a 0 a 0 a a
0 a a a 0 0
b 0 b 0 b b
0 b b b 0 0
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b b b 0 0
0 b a a c 0
b 0 b 0 b b
b 0 a c a b
b b 0 b b b
b b c a a b
0 a a a 0 0
0 a b b c 0
0 c c c 0 0
0 c 0 0 c 0
b a c a b b
b a 0 b a b
b c a c b b
b c b 0 a b
a 0 a 0 a a
a 0 b c b a
a b c b a a
a b 0 a b a
c 0 c 0 c c
c 0 0 c 0 c
c b a b c c
c b b a 0 c
a a 0 a a a
a a c b b a
a c b c a a
a c a 0 b a
c a b a c c
c a a b 0 c
c c 0 c c c
c c c 0 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 5x3 + 6x4 + 11x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_b)5 + (X_a)2 (X_b)3 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)5 + (X_a)3 (X_b)2 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1768

a 0 a 0 a a
0 a a a 0 0
b 0 b 0 b b
0 b b b 0 0
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b b b 0 0
0 b a a c c
b 0 b 0 b b
b 0 a c a a
b b 0 b b b
b b c a a a
0 a a a 0 0
0 a b b c c
0 c c c 0 0
0 c 0 0 c c
b a c a b b
b a 0 b a a
b c a c b b
b c b 0 a a
a 0 a 0 a a
a 0 b c b b
a b c b a a
a b 0 a b b
c 0 c 0 c c
c 0 0 c 0 0
c b a b c c
c b b a 0 0
a a 0 a a a
a a c b b b
a c b c a a
a c a 0 b b
c a b a c c
c a a b 0 0
c c 0 c c c
c c c 0 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 5x3 + 6x4 + 11x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)3 (X_b)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_b)5 + (X_a)3 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)5 + (X_a)2 (X_b)3 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1769

a 0 a 0 a a
0 a a a 0 a
b 0 b 0 b b
0 b b b 0 b
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b b b 0 b
0 b a b 0 b
b 0 b 0 b b
b 0 a 0 b b
b b 0 b b 0
b b c b b 0
0 a a a 0 a
0 a b a 0 a
0 c c c 0 c
0 c 0 c 0 c
b a c a b c
b a 0 a b c
b c a c b a
b c b c b a
a 0 a 0 a a
a 0 b 0 a a
a b c b a c
a b 0 b a c
c 0 c 0 c c
c 0 0 0 c c
c b a b c a
c b b b c a
a a 0 a a 0
a a c a a 0
a c b c a b
a c a c a b
c a b a c b
c a a a c b
c c 0 c c 0
c c c c c 0

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 0x2 + 2x3 + 13x4 + 5x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)2 (X_b)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)2 (X_b)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)2 (X_b)4 + (X_0)1 (X_b)4 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)4 + (X_0)2 (X_a)3 (X_b)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_a)2 (X_b)2 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)4 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1770

a 0 a 0 a a
0 a a a 0 a
b 0 b 0 b b
0 b b b 0 b
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b b b 0 b
0 b a b 0 a
b 0 b 0 b b
b 0 a 0 b a
b b 0 b b 0
b b c b b c
0 a a a 0 a
0 a b a 0 b
0 c c c 0 c
0 c 0 c 0 0
b a c a b c
b a 0 a b 0
b c a c b a
b c b c b b
a 0 a 0 a a
a 0 b 0 a b
a b c b a c
a b 0 b a 0
c 0 c 0 c c
c 0 0 0 c 0
c b a b c a
c b b b c b
a a 0 a a 0
a a c a a c
a c b c a b
a c a c a a
c a b a c b
c a a a c a
c c 0 c c 0
c c c c c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 0x3 + 15x4 + 0x5 + 13x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_b)4 + (X_b)4 (X_c)2 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_a)2 (X_b)2 (X_c)2 + (X_b)4 (X_c)2 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_b)4 (X_c)2 + (X_0)2 (X_a)4 + (X_a)4 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_a)4 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_a)4 (X_c)2 + (X_0)2 (X_c)4 + (X_c)6

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1771

a 0 a 0 a a
0 a a a 0 a
b 0 b 0 b b
0 b b b 0 b
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b b b 0 b
0 b a b c b
b 0 b 0 b b
b 0 a 0 a b
b b 0 b b 0
b b c b a 0
0 a a a 0 a
0 a b a c a
0 c c c 0 c
0 c 0 c c c
b a c a b c
b a 0 a a c
b c a c b a
b c b c a a
a 0 a 0 a a
a 0 b 0 b a
a b c b a c
a b 0 b b c
c 0 c 0 c c
c 0 0 0 0 c
c b a b c a
c b b b 0 a
a a 0 a a 0
a a c a b 0
a c b c a b
a c a c b b
c a b a c b
c a a a 0 b
c c 0 c c 0
c c c c 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 2x2 + 0x3 + 13x4 + 8x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1772

a 0 a 0 a a
0 a a a 0 a
b 0 b 0 b b
0 b b b 0 b
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b b b 0 b
0 b a b c a
b 0 b 0 b b
b 0 a 0 a a
b b 0 b b 0
b b c b a c
0 a a a 0 a
0 a b a c b
0 c c c 0 c
0 c 0 c c 0
b a c a b c
b a 0 a a 0
b c a c b a
b c b c a b
a 0 a 0 a a
a 0 b 0 b b
a b c b a c
a b 0 b b 0
c 0 c 0 c c
c 0 0 0 0 0
c b a b c a
c b b b 0 b
a a 0 a a 0
a a c a b c
a c b c a b
a c a c b a
c a b a c b
c a a a 0 a
c c 0 c c 0
c c c c 0 c

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 0x2 + 2x3 + 13x4 + 5x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_b)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)2 (X_b)4 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)3 (X_b)1 + (X_a)2 (X_b)2 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)4 + (X_0)2 (X_a)1 (X_b)3 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)3 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_b)4 (X_c)1 + (X_0)2 (X_a)4 + (X_a)3 (X_b)1 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)4 (X_c)1 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1773

a 0 a 0 a a
0 a a a 0 a
b 0 b 0 b b
0 b b b 0 b
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b b b 0 b
0 b a a 0 b
b 0 b 0 b b
b 0 a c b b
b b 0 b b 0
b b c a b 0
0 a a a 0 a
0 a b b 0 a
0 c c c 0 c
0 c 0 0 0 c
b a c a b c
b a 0 b b c
b c a c b a
b c b 0 b a
a 0 a 0 a a
a 0 b c a a
a b c b a c
a b 0 a a c
c 0 c 0 c c
c 0 0 c c c
c b a b c a
c b b a c a
a a 0 a a 0
a a c b a 0
a c b c a b
a c a 0 a b
c a b a c b
c a a b c b
c c 0 c c 0
c c c 0 c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 2x2 + 0x3 + 13x4 + 8x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_a)2 (X_b)2 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1774

a 0 a 0 a a
0 a a a 0 a
b 0 b 0 b b
0 b b b 0 b
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b b b 0 b
0 b a a 0 a
b 0 b 0 b b
b 0 a c b a
b b 0 b b 0
b b c a b c
0 a a a 0 a
0 a b b 0 b
0 c c c 0 c
0 c 0 0 0 0
b a c a b c
b a 0 b b 0
b c a c b a
b c b 0 b b
a 0 a 0 a a
a 0 b c a b
a b c b a c
a b 0 a a 0
c 0 c 0 c c
c 0 0 c c 0
c b a b c a
c b b a c b
a a 0 a a 0
a a c b a c
a c b c a b
a c a 0 a a
c a b a c b
c a a b c a
c c 0 c c 0
c c c 0 c c

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 0x2 + 2x3 + 13x4 + 5x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)2 (X_b)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_b)4 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)3 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_b)4 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)3 (X_b)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_a)2 (X_b)2 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)4 + (X_a)3 (X_b)1 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)4 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1775

a 0 a 0 a a
0 a a a 0 a
b 0 b 0 b b
0 b b b 0 b
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b b b 0 b
0 b a a c b
b 0 b 0 b b
b 0 a c a b
b b 0 b b 0
b b c a a 0
0 a a a 0 a
0 a b b c a
0 c c c 0 c
0 c 0 0 c c
b a c a b c
b a 0 b a c
b c a c b a
b c b 0 a a
a 0 a 0 a a
a 0 b c b a
a b c b a c
a b 0 a b c
c 0 c 0 c c
c 0 0 c 0 c
c b a b c a
c b b a 0 a
a a 0 a a 0
a a c b b 0
a c b c a b
a c a 0 b b
c a b a c b
c a a b 0 b
c c 0 c c 0
c c c 0 0 0

dmin: 3
Weight Enumerator: 1x0 + 0x1 + 0x2 + 4x3 + 9x4 + 12x5 + 6x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1776

a 0 a 0 a a
0 a a a 0 a
b 0 b 0 b b
0 b b b 0 b
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b b b 0 b
0 b a a c a
b 0 b 0 b b
b 0 a c a a
b b 0 b b 0
b b c a a c
0 a a a 0 a
0 a b b c b
0 c c c 0 c
0 c 0 0 c 0
b a c a b c
b a 0 b a 0
b c a c b a
b c b 0 a b
a 0 a 0 a a
a 0 b c b b
a b c b a c
a b 0 a b 0
c 0 c 0 c c
c 0 0 c 0 0
c b a b c a
c b b a 0 b
a a 0 a a 0
a a c b b c
a c b c a b
a c a 0 b a
c a b a c b
c a a b 0 a
c c 0 c c 0
c c c 0 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 2x2 + 0x3 + 13x4 + 8x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)2 (X_b)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_b)4 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_a)2 (X_b)2 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1777

a 0 a 0 a a
0 a a a a 0
b 0 b 0 b b
0 b b b b 0
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b b b b 0
0 b a b b 0
b 0 b 0 b b
b 0 a 0 b b
b b 0 b 0 b
b b c b 0 b
0 a a a a 0
0 a b a a 0
0 c c c c 0
0 c 0 c c 0
b a c a c b
b a 0 a c b
b c a c a b
b c b c a b
a 0 a 0 a a
a 0 b 0 a a
a b c b c a
a b 0 b c a
c 0 c 0 c c
c 0 0 0 c c
c b a b a c
c b b b a c
a a 0 a 0 a
a a c a 0 a
a c b c b a
a c a c b a
c a b a b c
c a a a b c
c c 0 c 0 c
c c c c 0 c

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 0x2 + 2x3 + 13x4 + 5x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)2 (X_b)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)2 (X_b)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)2 (X_b)4 + (X_0)1 (X_b)4 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)4 + (X_0)2 (X_a)3 (X_b)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_a)2 (X_b)2 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)4 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1778

a 0 a 0 a a
0 a a a a 0
b 0 b 0 b b
0 b b b b 0
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b b b b 0
0 b a b b c
b 0 b 0 b b
b 0 a 0 b a
b b 0 b 0 b
b b c b 0 a
0 a a a a 0
0 a b a a c
0 c c c c 0
0 c 0 c c c
b a c a c b
b a 0 a c a
b c a c a b
b c b c a a
a 0 a 0 a a
a 0 b 0 a b
a b c b c a
a b 0 b c b
c 0 c 0 c c
c 0 0 0 c 0
c b a b a c
c b b b a 0
a a 0 a 0 a
a a c a 0 b
a c b c b a
a c a c b b
c a b a b c
c a a a b 0
c c 0 c 0 c
c c c c 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 2x2 + 0x3 + 13x4 + 8x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1779

a 0 a 0 a a
0 a a a a 0
b 0 b 0 b b
0 b b b b 0
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b b b b 0
0 b a b a 0
b 0 b 0 b b
b 0 a 0 a b
b b 0 b 0 b
b b c b c b
0 a a a a 0
0 a b a b 0
0 c c c c 0
0 c 0 c 0 0
b a c a c b
b a 0 a 0 b
b c a c a b
b c b c b b
a 0 a 0 a a
a 0 b 0 b a
a b c b c a
a b 0 b 0 a
c 0 c 0 c c
c 0 0 0 0 c
c b a b a c
c b b b b c
a a 0 a 0 a
a a c a c a
a c b c b a
a c a c a a
c a b a b c
c a a a a c
c c 0 c 0 c
c c c c c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 0x3 + 15x4 + 0x5 + 13x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_b)4 + (X_b)4 (X_c)2 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_a)2 (X_b)2 (X_c)2 + (X_b)4 (X_c)2 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_b)4 (X_c)2 + (X_0)2 (X_a)4 + (X_a)4 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_a)4 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_a)4 (X_c)2 + (X_0)2 (X_c)4 + (X_c)6

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1780

a 0 a 0 a a
0 a a a a 0
b 0 b 0 b b
0 b b b b 0
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b b b b 0
0 b a b a c
b 0 b 0 b b
b 0 a 0 a a
b b 0 b 0 b
b b c b c a
0 a a a a 0
0 a b a b c
0 c c c c 0
0 c 0 c 0 c
b a c a c b
b a 0 a 0 a
b c a c a b
b c b c b a
a 0 a 0 a a
a 0 b 0 b b
a b c b c a
a b 0 b 0 b
c 0 c 0 c c
c 0 0 0 0 0
c b a b a c
c b b b b 0
a a 0 a 0 a
a a c a c b
a c b c b a
a c a c a b
c a b a b c
c a a a a 0
c c 0 c 0 c
c c c c c 0

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 0x2 + 2x3 + 13x4 + 5x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_b)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)2 (X_b)4 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)3 (X_b)1 + (X_a)2 (X_b)2 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)4 + (X_0)2 (X_a)1 (X_b)3 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)3 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_b)4 (X_c)1 + (X_0)2 (X_a)4 + (X_a)3 (X_b)1 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)4 (X_c)1 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1781

a 0 a 0 a a
0 a a a a 0
b 0 b 0 b b
0 b b b b 0
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b b b b 0
0 b a a b 0
b 0 b 0 b b
b 0 a c b b
b b 0 b 0 b
b b c a 0 b
0 a a a a 0
0 a b b a 0
0 c c c c 0
0 c 0 0 c 0
b a c a c b
b a 0 b c b
b c a c a b
b c b 0 a b
a 0 a 0 a a
a 0 b c a a
a b c b c a
a b 0 a c a
c 0 c 0 c c
c 0 0 c c c
c b a b a c
c b b a a c
a a 0 a 0 a
a a c b 0 a
a c b c b a
a c a 0 b a
c a b a b c
c a a b b c
c c 0 c 0 c
c c c 0 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 2x2 + 0x3 + 13x4 + 8x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_a)2 (X_b)2 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1782

a 0 a 0 a a
0 a a a a 0
b 0 b 0 b b
0 b b b b 0
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b b b b 0
0 b a a b c
b 0 b 0 b b
b 0 a c b a
b b 0 b 0 b
b b c a 0 a
0 a a a a 0
0 a b b a c
0 c c c c 0
0 c 0 0 c c
b a c a c b
b a 0 b c a
b c a c a b
b c b 0 a a
a 0 a 0 a a
a 0 b c a b
a b c b c a
a b 0 a c b
c 0 c 0 c c
c 0 0 c c 0
c b a b a c
c b b a a 0
a a 0 a 0 a
a a c b 0 b
a c b c b a
a c a 0 b b
c a b a b c
c a a b b 0
c c 0 c 0 c
c c c 0 0 0

dmin: 3
Weight Enumerator: 1x0 + 0x1 + 0x2 + 4x3 + 9x4 + 12x5 + 6x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1783

a 0 a 0 a a
0 a a a a 0
b 0 b 0 b b
0 b b b b 0
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b b b b 0
0 b a a a 0
b 0 b 0 b b
b 0 a c a b
b b 0 b 0 b
b b c a c b
0 a a a a 0
0 a b b b 0
0 c c c c 0
0 c 0 0 0 0
b a c a c b
b a 0 b 0 b
b c a c a b
b c b 0 b b
a 0 a 0 a a
a 0 b c b a
a b c b c a
a b 0 a 0 a
c 0 c 0 c c
c 0 0 c 0 c
c b a b a c
c b b a b c
a a 0 a 0 a
a a c b c a
a c b c b a
a c a 0 a a
c a b a b c
c a a b a c
c c 0 c 0 c
c c c 0 c c

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 0x2 + 2x3 + 13x4 + 5x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)2 (X_b)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_b)4 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)3 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_b)4 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)3 (X_b)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_a)2 (X_b)2 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)4 + (X_a)3 (X_b)1 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)4 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1784

a 0 a 0 a a
0 a a a a 0
b 0 b 0 b b
0 b b b b 0
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b b b b 0
0 b a a a c
b 0 b 0 b b
b 0 a c a a
b b 0 b 0 b
b b c a c a
0 a a a a 0
0 a b b b c
0 c c c c 0
0 c 0 0 0 c
b a c a c b
b a 0 b 0 a
b c a c a b
b c b 0 b a
a 0 a 0 a a
a 0 b c b b
a b c b c a
a b 0 a 0 b
c 0 c 0 c c
c 0 0 c 0 0
c b a b a c
c b b a b 0
a a 0 a 0 a
a a c b c b
a c b c b a
a c a 0 a b
c a b a b c
c a a b a 0
c c 0 c 0 c
c c c 0 c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 2x2 + 0x3 + 13x4 + 8x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)2 (X_b)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_b)4 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_a)2 (X_b)2 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1785

a 0 a 0 a a
0 a a a a a
b 0 b 0 b b
0 b b b b b
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b b b b b
0 b a b b b
b 0 b 0 b b
b 0 a 0 b b
b b 0 b 0 0
b b c b 0 0
0 a a a a a
0 a b a a a
0 c c c c c
0 c 0 c c c
b a c a c c
b a 0 a c c
b c a c a a
b c b c a a
a 0 a 0 a a
a 0 b 0 a a
a b c b c c
a b 0 b c c
c 0 c 0 c c
c 0 0 0 c c
c b a b a a
c b b b a a
a a 0 a 0 0
a a c a 0 0
a c b c b b
a c a c b b
c a b a b b
c a a a b b
c c 0 c 0 0
c c c c 0 0

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 0x2 + 4x3 + 9x4 + 7x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)1 (X_b)5 + (X_0)1 (X_a)1 (X_b)4 + (X_0)2 (X_b)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)3 (X_b)3 + (X_0)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)4 (X_b)1 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)2 (X_a)3 (X_b)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_a)3 (X_b)2 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)3 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_a)2 (X_b)3 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1786

a 0 a 0 a a
0 a a a a a
b 0 b 0 b b
0 b b b b b
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b b b b b
0 b a b b a
b 0 b 0 b b
b 0 a 0 b a
b b 0 b 0 0
b b c b 0 c
0 a a a a a
0 a b a a b
0 c c c c c
0 c 0 c c 0
b a c a c c
b a 0 a c 0
b c a c a a
b c b c a b
a 0 a 0 a a
a 0 b 0 a b
a b c b c c
a b 0 b c 0
c 0 c 0 c c
c 0 0 0 c 0
c b a b a a
c b b b a b
a a 0 a 0 0
a a c a 0 c
a c b c b b
a c a c b a
c a b a b b
c a a a b a
c c 0 c 0 0
c c c c 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 2x2 + 4x3 + 7x4 + 8x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)1 (X_b)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)3 (X_b)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_a)3 (X_b)2 (X_c)1 + (X_a)1 (X_b)4 (X_c)1 + (X_0)3 (X_a)3 + (X_0)1 (X_a)3 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_a)2 (X_b)3 (X_c)1 + (X_a)4 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1787

a 0 a 0 a a
0 a a a a a
b 0 b 0 b b
0 b b b b b
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b b b b b
0 b a b a b
b 0 b 0 b b
b 0 a 0 a b
b b 0 b 0 0
b b c b c 0
0 a a a a a
0 a b a b a
0 c c c c c
0 c 0 c 0 c
b a c a c c
b a 0 a 0 c
b c a c a a
b c b c b a
a 0 a 0 a a
a 0 b 0 b a
a b c b c c
a b 0 b 0 c
c 0 c 0 c c
c 0 0 0 0 c
c b a b a a
c b b b b a
a a 0 a 0 0
a a c a c 0
a c b c b b
a c a c a b
c a b a b b
c a a a a b
c c 0 c 0 0
c c c c c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 2x2 + 4x3 + 7x4 + 8x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)1 (X_b)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)3 (X_b)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_a)3 (X_b)2 (X_c)1 + (X_a)1 (X_b)4 (X_c)1 + (X_0)3 (X_a)3 + (X_0)1 (X_a)3 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_a)2 (X_b)3 (X_c)1 + (X_a)4 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1788

a 0 a 0 a a
0 a a a a a
b 0 b 0 b b
0 b b b b b
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b b b b b
0 b a b a a
b 0 b 0 b b
b 0 a 0 a a
b b 0 b 0 0
b b c b c c
0 a a a a a
0 a b a b b
0 c c c c c
0 c 0 c 0 0
b a c a c c
b a 0 a 0 0
b c a c a a
b c b c b b
a 0 a 0 a a
a 0 b 0 b b
a b c b c c
a b 0 b 0 0
c 0 c 0 c c
c 0 0 0 0 0
c b a b a a
c b b b b b
a a 0 a 0 0
a a c a c c
a c b c b b
a c a c a a
c a b a b b
c a a a a a
c c 0 c 0 0
c c c c c c

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 1x2 + 6x3 + 5x4 + 5x5 + 13x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)1 (X_b)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)2 (X_b)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)3 (X_b)3 + (X_b)3 (X_c)3 + (X_0)1 (X_a)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_a)2 (X_b)1 + (X_a)3 (X_b)1 (X_c)2 + (X_b)4 (X_c)2 + (X_0)2 (X_a)4 + (X_0)2 (X_a)1 (X_b)3 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_b)5 (X_c)1 + (X_0)3 (X_a)3 + (X_a)3 (X_c)3 + (X_a)1 (X_b)3 (X_c)2 + (X_a)4 (X_c)2 + (X_a)2 (X_b)3 (X_c)1 + (X_a)5 (X_c)1 + (X_0)3 (X_c)3 + (X_c)6

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1789

a 0 a 0 a a
0 a a a a a
b 0 b 0 b b
0 b b b b b
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b b b b b
0 b a a b b
b 0 b 0 b b
b 0 a c b b
b b 0 b 0 0
b b c a 0 0
0 a a a a a
0 a b b a a
0 c c c c c
0 c 0 0 c c
b a c a c c
b a 0 b c c
b c a c a a
b c b 0 a a
a 0 a 0 a a
a 0 b c a a
a b c b c c
a b 0 a c c
c 0 c 0 c c
c 0 0 c c c
c b a b a a
c b b a a a
a a 0 a 0 0
a a c b 0 0
a c b c b b
a c a 0 b b
c a b a b b
c a a b b b
c c 0 c 0 0
c c c 0 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 5x3 + 6x4 + 11x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)1 (X_b)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_a)3 (X_b)2 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1790

a 0 a 0 a a
0 a a a a a
b 0 b 0 b b
0 b b b b b
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b b b b b
0 b a a b a
b 0 b 0 b b
b 0 a c b a
b b 0 b 0 0
b b c a 0 c
0 a a a a a
0 a b b a b
0 c c c c c
0 c 0 0 c 0
b a c a c c
b a 0 b c 0
b c a c a a
b c b 0 a b
a 0 a 0 a a
a 0 b c a b
a b c b c c
a b 0 a c 0
c 0 c 0 c c
c 0 0 c c 0
c b a b a a
c b b a a b
a a 0 a 0 0
a a c b 0 c
a c b c b b
a c a 0 b a
c a b a b b
c a a b b a
c c 0 c 0 0
c c c 0 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 5x3 + 6x4 + 11x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)1 (X_b)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_a)3 (X_b)2 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1791

a 0 a 0 a a
0 a a a a a
b 0 b 0 b b
0 b b b b b
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b b b b b
0 b a a a b
b 0 b 0 b b
b 0 a c a b
b b 0 b 0 0
b b c a c 0
0 a a a a a
0 a b b b a
0 c c c c c
0 c 0 0 0 c
b a c a c c
b a 0 b 0 c
b c a c a a
b c b 0 b a
a 0 a 0 a a
a 0 b c b a
a b c b c c
a b 0 a 0 c
c 0 c 0 c c
c 0 0 c 0 c
c b a b a a
c b b a b a
a a 0 a 0 0
a a c b c 0
a c b c b b
a c a 0 a b
c a b a b b
c a a b a b
c c 0 c 0 0
c c c 0 c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 5x3 + 6x4 + 11x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)1 (X_b)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_a)3 (X_b)2 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1792

a 0 a 0 a a
0 a a a a a
b 0 b 0 b b
0 b b b b b
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b b b b b
0 b a a a a
b 0 b 0 b b
b 0 a c a a
b b 0 b 0 0
b b c a c c
0 a a a a a
0 a b b b b
0 c c c c c
0 c 0 0 0 0
b a c a c c
b a 0 b 0 0
b c a c a a
b c b 0 b b
a 0 a 0 a a
a 0 b c b b
a b c b c c
a b 0 a 0 0
c 0 c 0 c c
c 0 0 c 0 0
c b a b a a
c b b a b b
a a 0 a 0 0
a a c b c c
a c b c b b
a c a 0 a a
c a b a b b
c a a b a a
c c 0 c 0 0
c c c 0 c c

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 1x2 + 5x3 + 4x4 + 10x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)1 (X_b)5 + (X_0)1 (X_a)4 (X_b)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)3 (X_b)3 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)5 + (X_0)1 (X_a)1 (X_b)4 + (X_0)1 (X_c)5 + (X_0)5 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_a)1 (X_b)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_b)4 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_a)3 (X_b)2 (X_c)1 + (X_a)1 (X_b)4 (X_c)1 + (X_0)3 (X_a)3 + (X_a)2 (X_b)1 (X_c)3 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)4 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)4 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1793

a 0 a a 0 0
0 a a 0 0 0
b 0 b b 0 0
0 b b 0 0 0
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b b 0 0 0
0 b a 0 0 0
b 0 b b 0 0
b 0 a b 0 0
b b 0 b 0 0
b b c b 0 0
0 a a 0 0 0
0 a b 0 0 0
0 c c 0 0 0
0 c 0 0 0 0
b a c b 0 0
b a 0 b 0 0
b c a b 0 0
b c b b 0 0
a 0 a a 0 0
a 0 b a 0 0
a b c a 0 0
a b 0 a 0 0
c 0 c c 0 0
c 0 0 c 0 0
c b a c 0 0
c b b c 0 0
a a 0 a 0 0
a a c a 0 0
a c b a 0 0
a c a a 0 0
c a b c 0 0
c a a c 0 0
c c 0 c 0 0
c c c c 0 0

dmin: 1
Weight Enumerator: 1x0 + 2x1 + 6x2 + 10x3 + 13x4 + 0x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)4 (X_b)2 + (X_0)4 (X_a)1 (X_b)1 + (X_0)3 (X_b)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)3 (X_b)3 + (X_0)2 (X_b)3 (X_c)1 + (X_0)4 (X_a)2 + (X_0)4 (X_a)1 (X_b)1 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_a)1 (X_b)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_b)3 (X_c)1 + (X_0)3 (X_a)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_a)2 (X_b)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)3 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)3 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c

Is it a nice code?: No

Generator Matrix-1794

a 0 a a 0 0
0 a a 0 0 0
b 0 b b 0 0
0 b b 0 0 0
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b b 0 0 0
0 b a 0 0 c
b 0 b b 0 0
b 0 a b 0 c
b b 0 b 0 0
b b c b 0 c
0 a a 0 0 0
0 a b 0 0 c
0 c c 0 0 0
0 c 0 0 0 c
b a c b 0 0
b a 0 b 0 c
b c a b 0 0
b c b b 0 c
a 0 a a 0 0
a 0 b a 0 c
a b c a 0 0
a b 0 a 0 c
c 0 c c 0 0
c 0 0 c 0 c
c b a c 0 0
c b b c 0 c
a a 0 a 0 0
a a c a 0 c
a c b a 0 0
a c a a 0 c
c a b c 0 0
c a a c 0 c
c c 0 c 0 0
c c c c 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 5x2 + 9x3 + 10x4 + 7x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_b)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_b)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)4 (X_a)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c

Is it a nice code?: No

Generator Matrix-1795

a 0 a a 0 0
0 a a 0 0 0
b 0 b b 0 0
0 b b 0 0 0
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b b 0 0 0
0 b a 0 c 0
b 0 b b 0 0
b 0 a b c 0
b b 0 b 0 0
b b c b c 0
0 a a 0 0 0
0 a b 0 c 0
0 c c 0 0 0
0 c 0 0 c 0
b a c b 0 0
b a 0 b c 0
b c a b 0 0
b c b b c 0
a 0 a a 0 0
a 0 b a c 0
a b c a 0 0
a b 0 a c 0
c 0 c c 0 0
c 0 0 c c 0
c b a c 0 0
c b b c c 0
a a 0 a 0 0
a a c a c 0
a c b a 0 0
a c a a c 0
c a b c 0 0
c a a c c 0
c c 0 c 0 0
c c c c c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 5x2 + 9x3 + 10x4 + 7x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_b)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_b)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)4 (X_a)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c

Is it a nice code?: No

Generator Matrix-1796

a 0 a a 0 0
0 a a 0 0 0
b 0 b b 0 0
0 b b 0 0 0
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b b 0 0 0
0 b a 0 c c
b 0 b b 0 0
b 0 a b c c
b b 0 b 0 0
b b c b c c
0 a a 0 0 0
0 a b 0 c c
0 c c 0 0 0
0 c 0 0 c c
b a c b 0 0
b a 0 b c c
b c a b 0 0
b c b b c c
a 0 a a 0 0
a 0 b a c c
a b c a 0 0
a b 0 a c c
c 0 c c 0 0
c 0 0 c c c
c b a c 0 0
c b b c c c
a a 0 a 0 0
a a c a c c
a c b a 0 0
a c a a c c
c a b c 0 0
c a a c c c
c c 0 c 0 0
c c c c c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 8x3 + 9x4 + 4x5 + 7x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_b)3 + (X_b)3 (X_c)3 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_b)3 (X_c)3 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_b)2 (X_c)4 + (X_0)3 (X_a)3 + (X_a)3 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)3 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_a)2 (X_c)4 + (X_0)3 (X_c)3 + (X_c)6

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c

Is it a nice code?: No

Generator Matrix-1797

a 0 a a 0 0
0 a a 0 0 0
b 0 b b 0 0
0 b b 0 0 0
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b b 0 0 0
0 b a c 0 0
b 0 b b 0 0
b 0 a a 0 0
b b 0 b 0 0
b b c a 0 0
0 a a 0 0 0
0 a b c 0 0
0 c c 0 0 0
0 c 0 c 0 0
b a c b 0 0
b a 0 a 0 0
b c a b 0 0
b c b a 0 0
a 0 a a 0 0
a 0 b b 0 0
a b c a 0 0
a b 0 b 0 0
c 0 c c 0 0
c 0 0 0 0 0
c b a c 0 0
c b b 0 0 0
a a 0 a 0 0
a a c b 0 0
a c b a 0 0
a c a b 0 0
c a b c 0 0
c a a 0 0 0
c c 0 c 0 0
c c c 0 0 0

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 5x2 + 15x3 + 10x4 + 0x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_b)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)3 (X_b)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)4 (X_a)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_a)2 (X_b)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_a)1 (X_b)2 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_a)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c

Is it a nice code?: No

Generator Matrix-1798

a 0 a a 0 0
0 a a 0 0 0
b 0 b b 0 0
0 b b 0 0 0
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b b 0 0 0
0 b a c 0 c
b 0 b b 0 0
b 0 a a 0 c
b b 0 b 0 0
b b c a 0 c
0 a a 0 0 0
0 a b c 0 c
0 c c 0 0 0
0 c 0 c 0 c
b a c b 0 0
b a 0 a 0 c
b c a b 0 0
b c b a 0 c
a 0 a a 0 0
a 0 b b 0 c
a b c a 0 0
a b 0 b 0 c
c 0 c c 0 0
c 0 0 0 0 c
c b a c 0 0
c b b 0 0 c
a a 0 a 0 0
a a c b 0 c
a c b a 0 0
a c a b 0 c
c a b c 0 0
c a a 0 0 c
c c 0 c 0 0
c c c 0 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 8x3 + 15x4 + 4x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c

Is it a nice code?: No

Generator Matrix-1799

a 0 a a 0 0
0 a a 0 0 0
b 0 b b 0 0
0 b b 0 0 0
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b b 0 0 0
0 b a c c 0
b 0 b b 0 0
b 0 a a c 0
b b 0 b 0 0
b b c a c 0
0 a a 0 0 0
0 a b c c 0
0 c c 0 0 0
0 c 0 c c 0
b a c b 0 0
b a 0 a c 0
b c a b 0 0
b c b a c 0
a 0 a a 0 0
a 0 b b c 0
a b c a 0 0
a b 0 b c 0
c 0 c c 0 0
c 0 0 0 c 0
c b a c 0 0
c b b 0 c 0
a a 0 a 0 0
a a c b c 0
a c b a 0 0
a c a b c 0
c a b c 0 0
c a a 0 c 0
c c 0 c 0 0
c c c 0 c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 8x3 + 15x4 + 4x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c

Is it a nice code?: No

Generator Matrix-1800

a 0 a a 0 0
0 a a 0 0 0
b 0 b b 0 0
0 b b 0 0 0
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b b 0 0 0
0 b a c c c
b 0 b b 0 0
b 0 a a c c
b b 0 b 0 0
b b c a c c
0 a a 0 0 0
0 a b c c c
0 c c 0 0 0
0 c 0 c c c
b a c b 0 0
b a 0 a c c
b c a b 0 0
b c b a c c
a 0 a a 0 0
a 0 b b c c
a b c a 0 0
a b 0 b c c
c 0 c c 0 0
c 0 0 0 c c
c b a c 0 0
c b b 0 c c
a a 0 a 0 0
a a c b c c
a c b a 0 0
a c a b c c
c a b c 0 0
c a a 0 c c
c c 0 c 0 0
c c c 0 c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 7x3 + 8x4 + 9x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)4 (X_b)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_b)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_b)3 + (X_a)1 (X_b)2 (X_c)3 + (X_0)4 (X_a)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)3 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c

Is it a nice code?: No

Generator Matrix-1801

a 0 a a 0 0
0 a a 0 0 a
b 0 b b 0 0
0 b b 0 0 b
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b b 0 0 b
0 b a 0 0 b
b 0 b b 0 0
b 0 a b 0 0
b b 0 b 0 b
b b c b 0 b
0 a a 0 0 a
0 a b 0 0 a
0 c c 0 0 c
0 c 0 0 0 c
b a c b 0 a
b a 0 b 0 a
b c a b 0 c
b c b b 0 c
a 0 a a 0 0
a 0 b a 0 0
a b c a 0 b
a b 0 a 0 b
c 0 c c 0 0
c 0 0 c 0 0
c b a c 0 b
c b b c 0 b
a a 0 a 0 a
a a c a 0 a
a c b a 0 c
a c a a 0 c
c a b c 0 a
c a a c 0 a
c c 0 c 0 c
c c c c 0 c

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 2x2 + 10x3 + 5x4 + 13x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)3 (X_b)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)3 (X_b)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)2 (X_b)4 + (X_0)1 (X_b)4 (X_c)1 + (X_0)3 (X_a)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)4 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0

Is it a nice code?: No

Generator Matrix-1802

a 0 a a 0 0
0 a a 0 0 a
b 0 b b 0 0
0 b b 0 0 b
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b b 0 0 b
0 b a 0 0 a
b 0 b b 0 0
b 0 a b 0 c
b b 0 b 0 b
b b c b 0 a
0 a a 0 0 a
0 a b 0 0 b
0 c c 0 0 c
0 c 0 0 0 0
b a c b 0 a
b a 0 b 0 b
b c a b 0 c
b c b b 0 0
a 0 a a 0 0
a 0 b a 0 c
a b c a 0 b
a b 0 a 0 a
c 0 c c 0 0
c 0 0 c 0 c
c b a c 0 b
c b b c 0 a
a a 0 a 0 a
a a c a 0 b
a c b a 0 c
a c a a 0 0
c a b c 0 a
c a a c 0 b
c c 0 c 0 c
c c c c 0 0

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 1x2 + 9x3 + 10x4 + 10x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)3 (X_a)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_b)3 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)3 (X_b)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0

Is it a nice code?: No

Generator Matrix-1803

a 0 a a 0 0
0 a a 0 0 a
b 0 b b 0 0
0 b b 0 0 b
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b b 0 0 b
0 b a 0 c b
b 0 b b 0 0
b 0 a b c 0
b b 0 b 0 b
b b c b c b
0 a a 0 0 a
0 a b 0 c a
0 c c 0 0 c
0 c 0 0 c c
b a c b 0 a
b a 0 b c a
b c a b 0 c
b c b b c c
a 0 a a 0 0
a 0 b a c 0
a b c a 0 b
a b 0 a c b
c 0 c c 0 0
c 0 0 c c 0
c b a c 0 b
c b b c c b
a a 0 a 0 a
a a c a c a
a c b a 0 c
a c a a c c
c a b c 0 a
c a a c c a
c c 0 c 0 c
c c c c c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 8x3 + 7x4 + 8x5 + 7x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_b)4 + (X_b)4 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_b)3 (X_c)3 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_b)3 (X_c)3 + (X_0)2 (X_a)4 + (X_a)4 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)3 (X_c)3 + (X_0)2 (X_c)4 + (X_c)6

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0

Is it a nice code?: No

Generator Matrix-1804

a 0 a a 0 0
0 a a 0 0 a
b 0 b b 0 0
0 b b 0 0 b
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b b 0 0 b
0 b a 0 c a
b 0 b b 0 0
b 0 a b c c
b b 0 b 0 b
b b c b c a
0 a a 0 0 a
0 a b 0 c b
0 c c 0 0 c
0 c 0 0 c 0
b a c b 0 a
b a 0 b c b
b c a b 0 c
b c b b c 0
a 0 a a 0 0
a 0 b a c c
a b c a 0 b
a b 0 a c a
c 0 c c 0 0
c 0 0 c c c
c b a c 0 b
c b b c c a
a a 0 a 0 a
a a c a c b
a c b a 0 c
a c a a c 0
c a b c 0 a
c a a c c b
c c 0 c 0 c
c c c c c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 7x3 + 6x4 + 13x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_b)4 + (X_a)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)4 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0

Is it a nice code?: No

Generator Matrix-1805

a 0 a a 0 0
0 a a 0 0 a
b 0 b b 0 0
0 b b 0 0 b
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b b 0 0 b
0 b a c 0 b
b 0 b b 0 0
b 0 a a 0 0
b b 0 b 0 b
b b c a 0 b
0 a a 0 0 a
0 a b c 0 a
0 c c 0 0 c
0 c 0 c 0 c
b a c b 0 a
b a 0 a 0 a
b c a b 0 c
b c b a 0 c
a 0 a a 0 0
a 0 b b 0 0
a b c a 0 b
a b 0 b 0 b
c 0 c c 0 0
c 0 0 0 0 0
c b a c 0 b
c b b 0 0 b
a a 0 a 0 a
a a c b 0 a
a c b a 0 c
a c a b 0 c
c a b c 0 a
c a a 0 0 a
c c 0 c 0 c
c c c 0 0 c

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 1x2 + 9x3 + 10x4 + 10x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_b)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)3 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)3 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0

Is it a nice code?: No

Generator Matrix-1806

a 0 a a 0 0
0 a a 0 0 a
b 0 b b 0 0
0 b b 0 0 b
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b b 0 0 b
0 b a c 0 a
b 0 b b 0 0
b 0 a a 0 c
b b 0 b 0 b
b b c a 0 a
0 a a 0 0 a
0 a b c 0 b
0 c c 0 0 c
0 c 0 c 0 0
b a c b 0 a
b a 0 a 0 b
b c a b 0 c
b c b a 0 0
a 0 a a 0 0
a 0 b b 0 c
a b c a 0 b
a b 0 b 0 a
c 0 c c 0 0
c 0 0 0 0 c
c b a c 0 b
c b b 0 0 a
a a 0 a 0 a
a a c b 0 b
a c b a 0 c
a c a b 0 0
c a b c 0 a
c a a 0 0 b
c c 0 c 0 c
c c c 0 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 2x2 + 8x3 + 13x4 + 8x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0

Is it a nice code?: No

Generator Matrix-1807

a 0 a a 0 0
0 a a 0 0 a
b 0 b b 0 0
0 b b 0 0 b
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b b 0 0 b
0 b a c c b
b 0 b b 0 0
b 0 a a c 0
b b 0 b 0 b
b b c a c b
0 a a 0 0 a
0 a b c c a
0 c c 0 0 c
0 c 0 c c c
b a c b 0 a
b a 0 a c a
b c a b 0 c
b c b a c c
a 0 a a 0 0
a 0 b b c 0
a b c a 0 b
a b 0 b c b
c 0 c c 0 0
c 0 0 0 c 0
c b a c 0 b
c b b 0 c b
a a 0 a 0 a
a a c b c a
a c b a 0 c
a c a b c c
c a b c 0 a
c a a 0 c a
c c 0 c 0 c
c c c 0 c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 7x3 + 6x4 + 13x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_b)4 + (X_a)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)4 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0

Is it a nice code?: No

Generator Matrix-1808

a 0 a a 0 0
0 a a 0 0 a
b 0 b b 0 0
0 b b 0 0 b
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b b 0 0 b
0 b a c c a
b 0 b b 0 0
b 0 a a c c
b b 0 b 0 b
b b c a c a
0 a a 0 0 a
0 a b c c b
0 c c 0 0 c
0 c 0 c c 0
b a c b 0 a
b a 0 a c b
b c a b 0 c
b c b a c 0
a 0 a a 0 0
a 0 b b c c
a b c a 0 b
a b 0 b c a
c 0 c c 0 0
c 0 0 0 c c
c b a c 0 b
c b b 0 c a
a a 0 a 0 a
a a c b c b
a c b a 0 c
a c a b c 0
c a b c 0 a
c a a 0 c b
c c 0 c 0 c
c c c 0 c 0

dmin: 3
Weight Enumerator: 1x0 + 0x1 + 0x2 + 8x3 + 5x4 + 16x5 + 2x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)3 (X_b)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_b)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_b)4 + (X_a)2 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0

Is it a nice code?: No

Generator Matrix-1809

a 0 a a 0 0
0 a a 0 a 0
b 0 b b 0 0
0 b b 0 b 0
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b b 0 b 0
0 b a 0 b 0
b 0 b b 0 0
b 0 a b 0 0
b b 0 b b 0
b b c b b 0
0 a a 0 a 0
0 a b 0 a 0
0 c c 0 c 0
0 c 0 0 c 0
b a c b a 0
b a 0 b a 0
b c a b c 0
b c b b c 0
a 0 a a 0 0
a 0 b a 0 0
a b c a b 0
a b 0 a b 0
c 0 c c 0 0
c 0 0 c 0 0
c b a c b 0
c b b c b 0
a a 0 a a 0
a a c a a 0
a c b a c 0
a c a a c 0
c a b c a 0
c a a c a 0
c c 0 c c 0
c c c c c 0

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 2x2 + 10x3 + 5x4 + 13x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)3 (X_b)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)3 (X_b)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)2 (X_b)4 + (X_0)1 (X_b)4 (X_c)1 + (X_0)3 (X_a)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)4 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c

Is it a nice code?: No

Generator Matrix-1810

a 0 a a 0 0
0 a a 0 a 0
b 0 b b 0 0
0 b b 0 b 0
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b b 0 b 0
0 b a 0 b c
b 0 b b 0 0
b 0 a b 0 c
b b 0 b b 0
b b c b b c
0 a a 0 a 0
0 a b 0 a c
0 c c 0 c 0
0 c 0 0 c c
b a c b a 0
b a 0 b a c
b c a b c 0
b c b b c c
a 0 a a 0 0
a 0 b a 0 c
a b c a b 0
a b 0 a b c
c 0 c c 0 0
c 0 0 c 0 c
c b a c b 0
c b b c b c
a a 0 a a 0
a a c a a c
a c b a c 0
a c a a c c
c a b c a 0
c a a c a c
c c 0 c c 0
c c c c c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 8x3 + 7x4 + 8x5 + 7x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_b)4 + (X_b)4 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_b)3 (X_c)3 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_b)3 (X_c)3 + (X_0)2 (X_a)4 + (X_a)4 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)3 (X_c)3 + (X_0)2 (X_c)4 + (X_c)6

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c

Is it a nice code?: No

Generator Matrix-1811

a 0 a a 0 0
0 a a 0 a 0
b 0 b b 0 0
0 b b 0 b 0
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b b 0 b 0
0 b a 0 a 0
b 0 b b 0 0
b 0 a b c 0
b b 0 b b 0
b b c b a 0
0 a a 0 a 0
0 a b 0 b 0
0 c c 0 c 0
0 c 0 0 0 0
b a c b a 0
b a 0 b b 0
b c a b c 0
b c b b 0 0
a 0 a a 0 0
a 0 b a c 0
a b c a b 0
a b 0 a a 0
c 0 c c 0 0
c 0 0 c c 0
c b a c b 0
c b b c a 0
a a 0 a a 0
a a c a b 0
a c b a c 0
a c a a 0 0
c a b c a 0
c a a c b 0
c c 0 c c 0
c c c c 0 0

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 1x2 + 9x3 + 10x4 + 10x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)3 (X_a)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_b)3 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)3 (X_b)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c

Is it a nice code?: No

Generator Matrix-1812

a 0 a a 0 0
0 a a 0 a 0
b 0 b b 0 0
0 b b 0 b 0
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b b 0 b 0
0 b a 0 a c
b 0 b b 0 0
b 0 a b c c
b b 0 b b 0
b b c b a c
0 a a 0 a 0
0 a b 0 b c
0 c c 0 c 0
0 c 0 0 0 c
b a c b a 0
b a 0 b b c
b c a b c 0
b c b b 0 c
a 0 a a 0 0
a 0 b a c c
a b c a b 0
a b 0 a a c
c 0 c c 0 0
c 0 0 c c c
c b a c b 0
c b b c a c
a a 0 a a 0
a a c a b c
a c b a c 0
a c a a 0 c
c a b c a 0
c a a c b c
c c 0 c c 0
c c c c 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 7x3 + 6x4 + 13x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_b)4 + (X_a)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)4 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c

Is it a nice code?: No

Generator Matrix-1813

a 0 a a 0 0
0 a a 0 a 0
b 0 b b 0 0
0 b b 0 b 0
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b b 0 b 0
0 b a c b 0
b 0 b b 0 0
b 0 a a 0 0
b b 0 b b 0
b b c a b 0
0 a a 0 a 0
0 a b c a 0
0 c c 0 c 0
0 c 0 c c 0
b a c b a 0
b a 0 a a 0
b c a b c 0
b c b a c 0
a 0 a a 0 0
a 0 b b 0 0
a b c a b 0
a b 0 b b 0
c 0 c c 0 0
c 0 0 0 0 0
c b a c b 0
c b b 0 b 0
a a 0 a a 0
a a c b a 0
a c b a c 0
a c a b c 0
c a b c a 0
c a a 0 a 0
c c 0 c c 0
c c c 0 c 0

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 1x2 + 9x3 + 10x4 + 10x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_b)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)3 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)3 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c

Is it a nice code?: No

Generator Matrix-1814

a 0 a a 0 0
0 a a 0 a 0
b 0 b b 0 0
0 b b 0 b 0
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b b 0 b 0
0 b a c b c
b 0 b b 0 0
b 0 a a 0 c
b b 0 b b 0
b b c a b c
0 a a 0 a 0
0 a b c a c
0 c c 0 c 0
0 c 0 c c c
b a c b a 0
b a 0 a a c
b c a b c 0
b c b a c c
a 0 a a 0 0
a 0 b b 0 c
a b c a b 0
a b 0 b b c
c 0 c c 0 0
c 0 0 0 0 c
c b a c b 0
c b b 0 b c
a a 0 a a 0
a a c b a c
a c b a c 0
a c a b c c
c a b c a 0
c a a 0 a c
c c 0 c c 0
c c c 0 c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 7x3 + 6x4 + 13x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_b)4 + (X_a)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)4 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c

Is it a nice code?: No

Generator Matrix-1815

a 0 a a 0 0
0 a a 0 a 0
b 0 b b 0 0
0 b b 0 b 0
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b b 0 b 0
0 b a c a 0
b 0 b b 0 0
b 0 a a c 0
b b 0 b b 0
b b c a a 0
0 a a 0 a 0
0 a b c b 0
0 c c 0 c 0
0 c 0 c 0 0
b a c b a 0
b a 0 a b 0
b c a b c 0
b c b a 0 0
a 0 a a 0 0
a 0 b b c 0
a b c a b 0
a b 0 b a 0
c 0 c c 0 0
c 0 0 0 c 0
c b a c b 0
c b b 0 a 0
a a 0 a a 0
a a c b b 0
a c b a c 0
a c a b 0 0
c a b c a 0
c a a 0 b 0
c c 0 c c 0
c c c 0 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 2x2 + 8x3 + 13x4 + 8x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c

Is it a nice code?: No

Generator Matrix-1816

a 0 a a 0 0
0 a a 0 a 0
b 0 b b 0 0
0 b b 0 b 0
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b b 0 b 0
0 b a c a c
b 0 b b 0 0
b 0 a a c c
b b 0 b b 0
b b c a a c
0 a a 0 a 0
0 a b c b c
0 c c 0 c 0
0 c 0 c 0 c
b a c b a 0
b a 0 a b c
b c a b c 0
b c b a 0 c
a 0 a a 0 0
a 0 b b c c
a b c a b 0
a b 0 b a c
c 0 c c 0 0
c 0 0 0 c c
c b a c b 0
c b b 0 a c
a a 0 a a 0
a a c b b c
a c b a c 0
a c a b 0 c
c a b c a 0
c a a 0 b c
c c 0 c c 0
c c c 0 0 c

dmin: 3
Weight Enumerator: 1x0 + 0x1 + 0x2 + 8x3 + 5x4 + 16x5 + 2x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)3 (X_b)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_b)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_b)4 + (X_a)2 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c

Is it a nice code?: No

Generator Matrix-1817

a 0 a a 0 0
0 a a 0 a a
b 0 b b 0 0
0 b b 0 b b
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b b 0 b b
0 b a 0 b b
b 0 b b 0 0
b 0 a b 0 0
b b 0 b b b
b b c b b b
0 a a 0 a a
0 a b 0 a a
0 c c 0 c c
0 c 0 0 c c
b a c b a a
b a 0 b a a
b c a b c c
b c b b c c
a 0 a a 0 0
a 0 b a 0 0
a b c a b b
a b 0 a b b
c 0 c c 0 0
c 0 0 c 0 0
c b a c b b
c b b c b b
a a 0 a a a
a a c a a a
a c b a c c
a c a a c c
c a b c a a
c a a c a a
c c 0 c c c
c c c c c c

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 1x2 + 6x3 + 5x4 + 5x5 + 13x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)2 (X_b)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)3 (X_b)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)1 (X_b)5 + (X_b)5 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_a)1 (X_b)2 (X_c)3 + (X_b)3 (X_c)3 + (X_0)3 (X_a)3 + (X_0)3 (X_a)2 (X_b)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_b)4 (X_c)2 + (X_0)1 (X_a)5 + (X_a)5 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_a)3 (X_c)3 + (X_a)3 (X_b)1 (X_c)2 + (X_a)4 (X_c)2 + (X_0)1 (X_c)5 + (X_c)6

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1818

a 0 a a 0 0
0 a a 0 a a
b 0 b b 0 0
0 b b 0 b b
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b b 0 b b
0 b a 0 b a
b 0 b b 0 0
b 0 a b 0 c
b b 0 b b b
b b c b b a
0 a a 0 a a
0 a b 0 a b
0 c c 0 c c
0 c 0 0 c 0
b a c b a a
b a 0 b a b
b c a b c c
b c b b c 0
a 0 a a 0 0
a 0 b a 0 c
a b c a b b
a b 0 a b a
c 0 c c 0 0
c 0 0 c 0 c
c b a c b b
c b b c b a
a a 0 a a a
a a c a a b
a c b a c c
a c a a c 0
c a b c a a
c a a c a b
c c 0 c c c
c c c c c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 2x2 + 4x3 + 7x4 + 8x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_b)5 + (X_a)1 (X_b)4 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_a)1 (X_b)3 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)5 + (X_a)4 (X_b)1 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)3 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1819

a 0 a a 0 0
0 a a 0 a a
b 0 b b 0 0
0 b b 0 b b
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b b 0 b b
0 b a 0 a b
b 0 b b 0 0
b 0 a b c 0
b b 0 b b b
b b c b a b
0 a a 0 a a
0 a b 0 b a
0 c c 0 c c
0 c 0 0 0 c
b a c b a a
b a 0 b b a
b c a b c c
b c b b 0 c
a 0 a a 0 0
a 0 b a c 0
a b c a b b
a b 0 a a b
c 0 c c 0 0
c 0 0 c c 0
c b a c b b
c b b c a b
a a 0 a a a
a a c a b a
a c b a c c
a c a a 0 c
c a b c a a
c a a c b a
c c 0 c c c
c c c c 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 2x2 + 4x3 + 7x4 + 8x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_b)5 + (X_a)1 (X_b)4 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_a)1 (X_b)3 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)5 + (X_a)4 (X_b)1 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)3 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1820

a 0 a a 0 0
0 a a 0 a a
b 0 b b 0 0
0 b b 0 b b
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b b 0 b b
0 b a 0 a a
b 0 b b 0 0
b 0 a b c c
b b 0 b b b
b b c b a a
0 a a 0 a a
0 a b 0 b b
0 c c 0 c c
0 c 0 0 0 0
b a c b a a
b a 0 b b b
b c a b c c
b c b b 0 0
a 0 a a 0 0
a 0 b a c c
a b c a b b
a b 0 a a a
c 0 c c 0 0
c 0 0 c c c
c b a c b b
c b b c a a
a a 0 a a a
a a c a b b
a c b a c c
a c a a 0 0
c a b c a a
c a a c b b
c c 0 c c c
c c c c 0 0

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 0x2 + 4x3 + 9x4 + 7x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)2 (X_b)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_b)5 + (X_a)2 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)4 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_b)3 (X_c)1 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)4 (X_b)1 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_a)1 (X_b)3 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)5 + (X_a)3 (X_b)2 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)3 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1821

a 0 a a 0 0
0 a a 0 a a
b 0 b b 0 0
0 b b 0 b b
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b b 0 b b
0 b a c b b
b 0 b b 0 0
b 0 a a 0 0
b b 0 b b b
b b c a b b
0 a a 0 a a
0 a b c a a
0 c c 0 c c
0 c 0 c c c
b a c b a a
b a 0 a a a
b c a b c c
b c b a c c
a 0 a a 0 0
a 0 b b 0 0
a b c a b b
a b 0 b b b
c 0 c c 0 0
c 0 0 0 0 0
c b a c b b
c b b 0 b b
a a 0 a a a
a a c b a a
a c b a c c
a c a b c c
c a b c a a
c a a 0 a a
c c 0 c c c
c c c 0 c c

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 1x2 + 5x3 + 4x4 + 10x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)3 (X_b)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)1 (X_b)5 + (X_a)1 (X_b)4 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)4 (X_b)1 + (X_a)1 (X_b)2 (X_c)3 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)3 + (X_0)3 (X_a)1 (X_b)2 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)4 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_b)4 (X_c)1 + (X_0)1 (X_a)5 + (X_a)4 (X_b)1 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_a)2 (X_b)1 (X_c)3 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)4 (X_c)1 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1822

a 0 a a 0 0
0 a a 0 a a
b 0 b b 0 0
0 b b 0 b b
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b b 0 b b
0 b a c b a
b 0 b b 0 0
b 0 a a 0 c
b b 0 b b b
b b c a b a
0 a a 0 a a
0 a b c a b
0 c c 0 c c
0 c 0 c c 0
b a c b a a
b a 0 a a b
b c a b c c
b c b a c 0
a 0 a a 0 0
a 0 b b 0 c
a b c a b b
a b 0 b b a
c 0 c c 0 0
c 0 0 0 0 c
c b a c b b
c b b 0 b a
a a 0 a a a
a a c b a b
a c b a c c
a c a b c 0
c a b c a a
c a a 0 a b
c c 0 c c c
c c c 0 c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 5x3 + 6x4 + 11x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_b)5 + (X_a)2 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)5 + (X_a)3 (X_b)2 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1823

a 0 a a 0 0
0 a a 0 a a
b 0 b b 0 0
0 b b 0 b b
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b b 0 b b
0 b a c a b
b 0 b b 0 0
b 0 a a c 0
b b 0 b b b
b b c a a b
0 a a 0 a a
0 a b c b a
0 c c 0 c c
0 c 0 c 0 c
b a c b a a
b a 0 a b a
b c a b c c
b c b a 0 c
a 0 a a 0 0
a 0 b b c 0
a b c a b b
a b 0 b a b
c 0 c c 0 0
c 0 0 0 c 0
c b a c b b
c b b 0 a b
a a 0 a a a
a a c b b a
a c b a c c
a c a b 0 c
c a b c a a
c a a 0 b a
c c 0 c c c
c c c 0 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 5x3 + 6x4 + 11x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_b)5 + (X_a)2 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)5 + (X_a)3 (X_b)2 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1824

a 0 a a 0 0
0 a a 0 a a
b 0 b b 0 0
0 b b 0 b b
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b b 0 b b
0 b a c a a
b 0 b b 0 0
b 0 a a c c
b b 0 b b b
b b c a a a
0 a a 0 a a
0 a b c b b
0 c c 0 c c
0 c 0 c 0 0
b a c b a a
b a 0 a b b
b c a b c c
b c b a 0 0
a 0 a a 0 0
a 0 b b c c
a b c a b b
a b 0 b a a
c 0 c c 0 0
c 0 0 0 c c
c b a c b b
c b b 0 a a
a a 0 a a a
a a c b b b
a c b a c c
a c a b 0 0
c a b c a a
c a a 0 b b
c c 0 c c c
c c c 0 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 5x3 + 6x4 + 11x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)2 (X_b)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)3 (X_b)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_b)5 + (X_a)3 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)5 + (X_a)2 (X_b)3 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1825

a 0 a a 0 0
0 a a a 0 0
b 0 b b 0 0
0 b b b 0 0
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b b b 0 0
0 b a b 0 0
b 0 b b 0 0
b 0 a b 0 0
b b 0 0 0 0
b b c 0 0 0
0 a a a 0 0
0 a b a 0 0
0 c c c 0 0
0 c 0 c 0 0
b a c c 0 0
b a 0 c 0 0
b c a a 0 0
b c b a 0 0
a 0 a a 0 0
a 0 b a 0 0
a b c c 0 0
a b 0 c 0 0
c 0 c c 0 0
c 0 0 c 0 0
c b a a 0 0
c b b a 0 0
a a 0 0 0 0
a a c 0 0 0
a c b b 0 0
a c a b 0 0
c a b b 0 0
c a a b 0 0
c c 0 0 0 0
c c c 0 0 0

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 5x2 + 15x3 + 10x4 + 0x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)3 (X_b)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)3 (X_b)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)4 (X_b)2 + (X_0)3 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)4 (X_a)2 + (X_0)3 (X_a)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c

Is it a nice code?: No

Generator Matrix-1826

a 0 a a 0 0
0 a a a 0 0
b 0 b b 0 0
0 b b b 0 0
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b b b 0 0
0 b a b 0 c
b 0 b b 0 0
b 0 a b 0 c
b b 0 0 0 0
b b c 0 0 c
0 a a a 0 0
0 a b a 0 c
0 c c c 0 0
0 c 0 c 0 c
b a c c 0 0
b a 0 c 0 c
b c a a 0 0
b c b a 0 c
a 0 a a 0 0
a 0 b a 0 c
a b c c 0 0
a b 0 c 0 c
c 0 c c 0 0
c 0 0 c 0 c
c b a a 0 0
c b b a 0 c
a a 0 0 0 0
a a c 0 0 c
a c b b 0 0
a c a b 0 c
c a b b 0 0
c a a b 0 c
c c 0 0 0 0
c c c 0 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 8x3 + 15x4 + 4x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c

Is it a nice code?: No

Generator Matrix-1827

a 0 a a 0 0
0 a a a 0 0
b 0 b b 0 0
0 b b b 0 0
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b b b 0 0
0 b a b c 0
b 0 b b 0 0
b 0 a b c 0
b b 0 0 0 0
b b c 0 c 0
0 a a a 0 0
0 a b a c 0
0 c c c 0 0
0 c 0 c c 0
b a c c 0 0
b a 0 c c 0
b c a a 0 0
b c b a c 0
a 0 a a 0 0
a 0 b a c 0
a b c c 0 0
a b 0 c c 0
c 0 c c 0 0
c 0 0 c c 0
c b a a 0 0
c b b a c 0
a a 0 0 0 0
a a c 0 c 0
a c b b 0 0
a c a b c 0
c a b b 0 0
c a a b c 0
c c 0 0 0 0
c c c 0 c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 8x3 + 15x4 + 4x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c

Is it a nice code?: No

Generator Matrix-1828

a 0 a a 0 0
0 a a a 0 0
b 0 b b 0 0
0 b b b 0 0
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b b b 0 0
0 b a b c c
b 0 b b 0 0
b 0 a b c c
b b 0 0 0 0
b b c 0 c c
0 a a a 0 0
0 a b a c c
0 c c c 0 0
0 c 0 c c c
b a c c 0 0
b a 0 c c c
b c a a 0 0
b c b a c c
a 0 a a 0 0
a 0 b a c c
a b c c 0 0
a b 0 c c c
c 0 c c 0 0
c 0 0 c c c
c b a a 0 0
c b b a c c
a a 0 0 0 0
a a c 0 c c
a c b b 0 0
a c a b c c
c a b b 0 0
c a a b c c
c c 0 0 0 0
c c c 0 c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 7x3 + 8x4 + 9x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)4 (X_b)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)4 (X_a)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c

Is it a nice code?: No

Generator Matrix-1829

a 0 a a 0 0
0 a a a 0 0
b 0 b b 0 0
0 b b b 0 0
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b b b 0 0
0 b a a 0 0
b 0 b b 0 0
b 0 a a 0 0
b b 0 0 0 0
b b c c 0 0
0 a a a 0 0
0 a b b 0 0
0 c c c 0 0
0 c 0 0 0 0
b a c c 0 0
b a 0 0 0 0
b c a a 0 0
b c b b 0 0
a 0 a a 0 0
a 0 b b 0 0
a b c c 0 0
a b 0 0 0 0
c 0 c c 0 0
c 0 0 0 0 0
c b a a 0 0
c b b b 0 0
a a 0 0 0 0
a a c c 0 0
a c b b 0 0
a c a a 0 0
c a b b 0 0
c a a a 0 0
c c 0 0 0 0
c c c c 0 0

dmin: 1
Weight Enumerator: 1x0 + 2x1 + 6x2 + 10x3 + 13x4 + 0x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)3 (X_b)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_a)1 (X_b)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_b)3 (X_c)1 + (X_0)3 (X_a)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_a)1 (X_b)1 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_b)3 (X_c)1 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)3 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)3 (X_c)1 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c

Is it a nice code?: No

Generator Matrix-1830

a 0 a a 0 0
0 a a a 0 0
b 0 b b 0 0
0 b b b 0 0
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b b b 0 0
0 b a a 0 c
b 0 b b 0 0
b 0 a a 0 c
b b 0 0 0 0
b b c c 0 c
0 a a a 0 0
0 a b b 0 c
0 c c c 0 0
0 c 0 0 0 c
b a c c 0 0
b a 0 0 0 c
b c a a 0 0
b c b b 0 c
a 0 a a 0 0
a 0 b b 0 c
a b c c 0 0
a b 0 0 0 c
c 0 c c 0 0
c 0 0 0 0 c
c b a a 0 0
c b b b 0 c
a a 0 0 0 0
a a c c 0 c
a c b b 0 0
a c a a 0 c
c a b b 0 0
c a a a 0 c
c c 0 0 0 0
c c c c 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 5x2 + 9x3 + 10x4 + 7x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)4 (X_b)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_b)3 (X_c)2 + (X_0)4 (X_a)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c

Is it a nice code?: No

Generator Matrix-1831

a 0 a a 0 0
0 a a a 0 0
b 0 b b 0 0
0 b b b 0 0
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b b b 0 0
0 b a a c 0
b 0 b b 0 0
b 0 a a c 0
b b 0 0 0 0
b b c c c 0
0 a a a 0 0
0 a b b c 0
0 c c c 0 0
0 c 0 0 c 0
b a c c 0 0
b a 0 0 c 0
b c a a 0 0
b c b b c 0
a 0 a a 0 0
a 0 b b c 0
a b c c 0 0
a b 0 0 c 0
c 0 c c 0 0
c 0 0 0 c 0
c b a a 0 0
c b b b c 0
a a 0 0 0 0
a a c c c 0
a c b b 0 0
a c a a c 0
c a b b 0 0
c a a a c 0
c c 0 0 0 0
c c c c c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 5x2 + 9x3 + 10x4 + 7x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)4 (X_b)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_b)3 (X_c)2 + (X_0)4 (X_a)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c

Is it a nice code?: No

Generator Matrix-1832

a 0 a a 0 0
0 a a a 0 0
b 0 b b 0 0
0 b b b 0 0
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b b b 0 0
0 b a a c c
b 0 b b 0 0
b 0 a a c c
b b 0 0 0 0
b b c c c c
0 a a a 0 0
0 a b b c c
0 c c c 0 0
0 c 0 0 c c
b a c c 0 0
b a 0 0 c c
b c a a 0 0
b c b b c c
a 0 a a 0 0
a 0 b b c c
a b c c 0 0
a b 0 0 c c
c 0 c c 0 0
c 0 0 0 c c
c b a a 0 0
c b b b c c
a a 0 0 0 0
a a c c c c
a c b b 0 0
a c a a c c
c a b b 0 0
c a a a c c
c c 0 0 0 0
c c c c c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 8x3 + 9x4 + 4x5 + 7x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)3 (X_b)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_b)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)4 (X_b)2 + (X_b)2 (X_c)4 + (X_0)3 (X_a)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_b)3 (X_c)3 + (X_0)3 (X_a)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_b)3 (X_c)3 + (X_0)4 (X_a)2 + (X_a)2 (X_c)4 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)3 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)3 (X_c)3 + (X_0)4 (X_c)2 + (X_c)6

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c

Is it a nice code?: No

Generator Matrix-1833

a 0 a a 0 0
0 a a a 0 a
b 0 b b 0 0
0 b b b 0 b
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b b b 0 b
0 b a b 0 b
b 0 b b 0 0
b 0 a b 0 0
b b 0 0 0 b
b b c 0 0 b
0 a a a 0 a
0 a b a 0 a
0 c c c 0 c
0 c 0 c 0 c
b a c c 0 a
b a 0 c 0 a
b c a a 0 c
b c b a 0 c
a 0 a a 0 0
a 0 b a 0 0
a b c c 0 b
a b 0 c 0 b
c 0 c c 0 0
c 0 0 c 0 0
c b a a 0 b
c b b a 0 b
a a 0 0 0 a
a a c 0 0 a
a c b b 0 c
a c a b 0 c
c a b b 0 a
c a a b 0 a
c c 0 0 0 c
c c c 0 0 c

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 1x2 + 9x3 + 10x4 + 10x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)2 (X_b)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)3 (X_b)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)3 (X_b)3 + (X_0)2 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0

Is it a nice code?: No

Generator Matrix-1834

a 0 a a 0 0
0 a a a 0 a
b 0 b b 0 0
0 b b b 0 b
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b b b 0 b
0 b a b 0 a
b 0 b b 0 0
b 0 a b 0 c
b b 0 0 0 b
b b c 0 0 a
0 a a a 0 a
0 a b a 0 b
0 c c c 0 c
0 c 0 c 0 0
b a c c 0 a
b a 0 c 0 b
b c a a 0 c
b c b a 0 0
a 0 a a 0 0
a 0 b a 0 c
a b c c 0 b
a b 0 c 0 a
c 0 c c 0 0
c 0 0 c 0 c
c b a a 0 b
c b b a 0 a
a a 0 0 0 a
a a c 0 0 b
a c b b 0 c
a c a b 0 0
c a b b 0 a
c a a b 0 b
c c 0 0 0 c
c c c 0 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 2x2 + 8x3 + 13x4 + 8x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0

Is it a nice code?: No

Generator Matrix-1835

a 0 a a 0 0
0 a a a 0 a
b 0 b b 0 0
0 b b b 0 b
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b b b 0 b
0 b a b c b
b 0 b b 0 0
b 0 a b c 0
b b 0 0 0 b
b b c 0 c b
0 a a a 0 a
0 a b a c a
0 c c c 0 c
0 c 0 c c c
b a c c 0 a
b a 0 c c a
b c a a 0 c
b c b a c c
a 0 a a 0 0
a 0 b a c 0
a b c c 0 b
a b 0 c c b
c 0 c c 0 0
c 0 0 c c 0
c b a a 0 b
c b b a c b
a a 0 0 0 a
a a c 0 c a
a c b b 0 c
a c a b c c
c a b b 0 a
c a a b c a
c c 0 0 0 c
c c c 0 c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 7x3 + 6x4 + 13x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_b)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0

Is it a nice code?: No

Generator Matrix-1836

a 0 a a 0 0
0 a a a 0 a
b 0 b b 0 0
0 b b b 0 b
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b b b 0 b
0 b a b c a
b 0 b b 0 0
b 0 a b c c
b b 0 0 0 b
b b c 0 c a
0 a a a 0 a
0 a b a c b
0 c c c 0 c
0 c 0 c c 0
b a c c 0 a
b a 0 c c b
b c a a 0 c
b c b a c 0
a 0 a a 0 0
a 0 b a c c
a b c c 0 b
a b 0 c c a
c 0 c c 0 0
c 0 0 c c c
c b a a 0 b
c b b a c a
a a 0 0 0 a
a a c 0 c b
a c b b 0 c
a c a b c 0
c a b b 0 a
c a a b c b
c c 0 0 0 c
c c c 0 c 0

dmin: 3
Weight Enumerator: 1x0 + 0x1 + 0x2 + 8x3 + 5x4 + 16x5 + 2x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0

Is it a nice code?: No

Generator Matrix-1837

a 0 a a 0 0
0 a a a 0 a
b 0 b b 0 0
0 b b b 0 b
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b b b 0 b
0 b a a 0 b
b 0 b b 0 0
b 0 a a 0 0
b b 0 0 0 b
b b c c 0 b
0 a a a 0 a
0 a b b 0 a
0 c c c 0 c
0 c 0 0 0 c
b a c c 0 a
b a 0 0 0 a
b c a a 0 c
b c b b 0 c
a 0 a a 0 0
a 0 b b 0 0
a b c c 0 b
a b 0 0 0 b
c 0 c c 0 0
c 0 0 0 0 0
c b a a 0 b
c b b b 0 b
a a 0 0 0 a
a a c c 0 a
a c b b 0 c
a c a a 0 c
c a b b 0 a
c a a a 0 a
c c 0 0 0 c
c c c c 0 c

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 2x2 + 10x3 + 5x4 + 13x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)3 (X_b)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)3 (X_b)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)2 (X_b)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)1 (X_b)2 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_b)4 (X_c)1 + (X_0)3 (X_a)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)4 (X_c)1 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0

Is it a nice code?: No

Generator Matrix-1838

a 0 a a 0 0
0 a a a 0 a
b 0 b b 0 0
0 b b b 0 b
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b b b 0 b
0 b a a 0 a
b 0 b b 0 0
b 0 a a 0 c
b b 0 0 0 b
b b c c 0 a
0 a a a 0 a
0 a b b 0 b
0 c c c 0 c
0 c 0 0 0 0
b a c c 0 a
b a 0 0 0 b
b c a a 0 c
b c b b 0 0
a 0 a a 0 0
a 0 b b 0 c
a b c c 0 b
a b 0 0 0 a
c 0 c c 0 0
c 0 0 0 0 c
c b a a 0 b
c b b b 0 a
a a 0 0 0 a
a a c c 0 b
a c b b 0 c
a c a a 0 0
c a b b 0 a
c a a a 0 b
c c 0 0 0 c
c c c c 0 0

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 1x2 + 9x3 + 10x4 + 10x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)2 (X_b)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)1 (X_b)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_b)3 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)2 (X_b)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0

Is it a nice code?: No

Generator Matrix-1839

a 0 a a 0 0
0 a a a 0 a
b 0 b b 0 0
0 b b b 0 b
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b b b 0 b
0 b a a c b
b 0 b b 0 0
b 0 a a c 0
b b 0 0 0 b
b b c c c b
0 a a a 0 a
0 a b b c a
0 c c c 0 c
0 c 0 0 c c
b a c c 0 a
b a 0 0 c a
b c a a 0 c
b c b b c c
a 0 a a 0 0
a 0 b b c 0
a b c c 0 b
a b 0 0 c b
c 0 c c 0 0
c 0 0 0 c 0
c b a a 0 b
c b b b c b
a a 0 0 0 a
a a c c c a
a c b b 0 c
a c a a c c
c a b b 0 a
c a a a c a
c c 0 0 0 c
c c c c c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 8x3 + 7x4 + 8x5 + 7x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_b)3 + (X_b)3 (X_c)3 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_b)3 (X_c)3 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_b)4 (X_c)2 + (X_0)3 (X_a)3 + (X_a)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)4 (X_c)2 + (X_0)3 (X_c)3 + (X_c)6

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0

Is it a nice code?: No

Generator Matrix-1840

a 0 a a 0 0
0 a a a 0 a
b 0 b b 0 0
0 b b b 0 b
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b b b 0 b
0 b a a c a
b 0 b b 0 0
b 0 a a c c
b b 0 0 0 b
b b c c c a
0 a a a 0 a
0 a b b c b
0 c c c 0 c
0 c 0 0 c 0
b a c c 0 a
b a 0 0 c b
b c a a 0 c
b c b b c 0
a 0 a a 0 0
a 0 b b c c
a b c c 0 b
a b 0 0 c a
c 0 c c 0 0
c 0 0 0 c c
c b a a 0 b
c b b b c a
a a 0 0 0 a
a a c c c b
a c b b 0 c
a c a a c 0
c a b b 0 a
c a a a c b
c c 0 0 0 c
c c c c c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 7x3 + 6x4 + 13x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)2 (X_b)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)3 (X_b)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_b)3 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0

Is it a nice code?: No

Generator Matrix-1841

a 0 a a 0 0
0 a a a a 0
b 0 b b 0 0
0 b b b b 0
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b b b b 0
0 b a b b 0
b 0 b b 0 0
b 0 a b 0 0
b b 0 0 b 0
b b c 0 b 0
0 a a a a 0
0 a b a a 0
0 c c c c 0
0 c 0 c c 0
b a c c a 0
b a 0 c a 0
b c a a c 0
b c b a c 0
a 0 a a 0 0
a 0 b a 0 0
a b c c b 0
a b 0 c b 0
c 0 c c 0 0
c 0 0 c 0 0
c b a a b 0
c b b a b 0
a a 0 0 a 0
a a c 0 a 0
a c b b c 0
a c a b c 0
c a b b a 0
c a a b a 0
c c 0 0 c 0
c c c 0 c 0

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 1x2 + 9x3 + 10x4 + 10x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)2 (X_b)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)3 (X_b)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)3 (X_b)3 + (X_0)2 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c

Is it a nice code?: No

Generator Matrix-1842

a 0 a a 0 0
0 a a a a 0
b 0 b b 0 0
0 b b b b 0
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b b b b 0
0 b a b b c
b 0 b b 0 0
b 0 a b 0 c
b b 0 0 b 0
b b c 0 b c
0 a a a a 0
0 a b a a c
0 c c c c 0
0 c 0 c c c
b a c c a 0
b a 0 c a c
b c a a c 0
b c b a c c
a 0 a a 0 0
a 0 b a 0 c
a b c c b 0
a b 0 c b c
c 0 c c 0 0
c 0 0 c 0 c
c b a a b 0
c b b a b c
a a 0 0 a 0
a a c 0 a c
a c b b c 0
a c a b c c
c a b b a 0
c a a b a c
c c 0 0 c 0
c c c 0 c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 7x3 + 6x4 + 13x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_b)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c

Is it a nice code?: No

Generator Matrix-1843

a 0 a a 0 0
0 a a a a 0
b 0 b b 0 0
0 b b b b 0
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b b b b 0
0 b a b a 0
b 0 b b 0 0
b 0 a b c 0
b b 0 0 b 0
b b c 0 a 0
0 a a a a 0
0 a b a b 0
0 c c c c 0
0 c 0 c 0 0
b a c c a 0
b a 0 c b 0
b c a a c 0
b c b a 0 0
a 0 a a 0 0
a 0 b a c 0
a b c c b 0
a b 0 c a 0
c 0 c c 0 0
c 0 0 c c 0
c b a a b 0
c b b a a 0
a a 0 0 a 0
a a c 0 b 0
a c b b c 0
a c a b 0 0
c a b b a 0
c a a b b 0
c c 0 0 c 0
c c c 0 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 2x2 + 8x3 + 13x4 + 8x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c

Is it a nice code?: No

Generator Matrix-1844

a 0 a a 0 0
0 a a a a 0
b 0 b b 0 0
0 b b b b 0
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b b b b 0
0 b a b a c
b 0 b b 0 0
b 0 a b c c
b b 0 0 b 0
b b c 0 a c
0 a a a a 0
0 a b a b c
0 c c c c 0
0 c 0 c 0 c
b a c c a 0
b a 0 c b c
b c a a c 0
b c b a 0 c
a 0 a a 0 0
a 0 b a c c
a b c c b 0
a b 0 c a c
c 0 c c 0 0
c 0 0 c c c
c b a a b 0
c b b a a c
a a 0 0 a 0
a a c 0 b c
a c b b c 0
a c a b 0 c
c a b b a 0
c a a b b c
c c 0 0 c 0
c c c 0 0 c

dmin: 3
Weight Enumerator: 1x0 + 0x1 + 0x2 + 8x3 + 5x4 + 16x5 + 2x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c

Is it a nice code?: No

Generator Matrix-1845

a 0 a a 0 0
0 a a a a 0
b 0 b b 0 0
0 b b b b 0
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b b b b 0
0 b a a b 0
b 0 b b 0 0
b 0 a a 0 0
b b 0 0 b 0
b b c c b 0
0 a a a a 0
0 a b b a 0
0 c c c c 0
0 c 0 0 c 0
b a c c a 0
b a 0 0 a 0
b c a a c 0
b c b b c 0
a 0 a a 0 0
a 0 b b 0 0
a b c c b 0
a b 0 0 b 0
c 0 c c 0 0
c 0 0 0 0 0
c b a a b 0
c b b b b 0
a a 0 0 a 0
a a c c a 0
a c b b c 0
a c a a c 0
c a b b a 0
c a a a a 0
c c 0 0 c 0
c c c c c 0

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 2x2 + 10x3 + 5x4 + 13x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)3 (X_b)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)3 (X_b)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)2 (X_b)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)1 (X_b)2 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_b)4 (X_c)1 + (X_0)3 (X_a)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)4 (X_c)1 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c

Is it a nice code?: No

Generator Matrix-1846

a 0 a a 0 0
0 a a a a 0
b 0 b b 0 0
0 b b b b 0
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b b b b 0
0 b a a b c
b 0 b b 0 0
b 0 a a 0 c
b b 0 0 b 0
b b c c b c
0 a a a a 0
0 a b b a c
0 c c c c 0
0 c 0 0 c c
b a c c a 0
b a 0 0 a c
b c a a c 0
b c b b c c
a 0 a a 0 0
a 0 b b 0 c
a b c c b 0
a b 0 0 b c
c 0 c c 0 0
c 0 0 0 0 c
c b a a b 0
c b b b b c
a a 0 0 a 0
a a c c a c
a c b b c 0
a c a a c c
c a b b a 0
c a a a a c
c c 0 0 c 0
c c c c c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 8x3 + 7x4 + 8x5 + 7x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_b)3 + (X_b)3 (X_c)3 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_b)3 (X_c)3 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_b)4 (X_c)2 + (X_0)3 (X_a)3 + (X_a)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)4 (X_c)2 + (X_0)3 (X_c)3 + (X_c)6

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c

Is it a nice code?: No

Generator Matrix-1847

a 0 a a 0 0
0 a a a a 0
b 0 b b 0 0
0 b b b b 0
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b b b b 0
0 b a a a 0
b 0 b b 0 0
b 0 a a c 0
b b 0 0 b 0
b b c c a 0
0 a a a a 0
0 a b b b 0
0 c c c c 0
0 c 0 0 0 0
b a c c a 0
b a 0 0 b 0
b c a a c 0
b c b b 0 0
a 0 a a 0 0
a 0 b b c 0
a b c c b 0
a b 0 0 a 0
c 0 c c 0 0
c 0 0 0 c 0
c b a a b 0
c b b b a 0
a a 0 0 a 0
a a c c b 0
a c b b c 0
a c a a 0 0
c a b b a 0
c a a a b 0
c c 0 0 c 0
c c c c 0 0

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 1x2 + 9x3 + 10x4 + 10x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)2 (X_b)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)1 (X_b)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_b)3 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)2 (X_b)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c

Is it a nice code?: No

Generator Matrix-1848

a 0 a a 0 0
0 a a a a 0
b 0 b b 0 0
0 b b b b 0
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b b b b 0
0 b a a a c
b 0 b b 0 0
b 0 a a c c
b b 0 0 b 0
b b c c a c
0 a a a a 0
0 a b b b c
0 c c c c 0
0 c 0 0 0 c
b a c c a 0
b a 0 0 b c
b c a a c 0
b c b b 0 c
a 0 a a 0 0
a 0 b b c c
a b c c b 0
a b 0 0 a c
c 0 c c 0 0
c 0 0 0 c c
c b a a b 0
c b b b a c
a a 0 0 a 0
a a c c b c
a c b b c 0
a c a a 0 c
c a b b a 0
c a a a b c
c c 0 0 c 0
c c c c 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 7x3 + 6x4 + 13x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)2 (X_b)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)3 (X_b)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_b)3 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c

Is it a nice code?: No

Generator Matrix-1849

a 0 a a 0 0
0 a a a a a
b 0 b b 0 0
0 b b b b b
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b b b b b
0 b a b b b
b 0 b b 0 0
b 0 a b 0 0
b b 0 0 b b
b b c 0 b b
0 a a a a a
0 a b a a a
0 c c c c c
0 c 0 c c c
b a c c a a
b a 0 c a a
b c a a c c
b c b a c c
a 0 a a 0 0
a 0 b a 0 0
a b c c b b
a b 0 c b b
c 0 c c 0 0
c 0 0 c 0 0
c b a a b b
c b b a b b
a a 0 0 a a
a a c 0 a a
a c b b c c
a c a b c c
c a b b a a
c a a b a a
c c 0 0 c c
c c c 0 c c

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 1x2 + 5x3 + 4x4 + 10x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)1 (X_b)5 + (X_0)1 (X_a)1 (X_b)4 + (X_0)3 (X_b)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)2 (X_b)4 + (X_0)1 (X_b)4 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)4 (X_b)1 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)3 + (X_0)3 (X_a)2 (X_b)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_a)2 (X_b)3 (X_c)1 + (X_a)1 (X_b)4 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)4 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_a)2 (X_b)1 (X_c)3 + (X_a)3 (X_b)2 (X_c)1 + (X_a)4 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1850

a 0 a a 0 0
0 a a a a a
b 0 b b 0 0
0 b b b b b
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b b b b b
0 b a b b a
b 0 b b 0 0
b 0 a b 0 c
b b 0 0 b b
b b c 0 b a
0 a a a a a
0 a b a a b
0 c c c c c
0 c 0 c c 0
b a c c a a
b a 0 c a b
b c a a c c
b c b a c 0
a 0 a a 0 0
a 0 b a 0 c
a b c c b b
a b 0 c b a
c 0 c c 0 0
c 0 0 c 0 c
c b a a b b
c b b a b a
a a 0 0 a a
a a c 0 a b
a c b b c c
a c a b c 0
c a b b a a
c a a b a b
c c 0 0 c c
c c c 0 c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 5x3 + 6x4 + 11x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)1 (X_b)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_a)2 (X_b)3 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)3 (X_b)2 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1851

a 0 a a 0 0
0 a a a a a
b 0 b b 0 0
0 b b b b b
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b b b b b
0 b a b a b
b 0 b b 0 0
b 0 a b c 0
b b 0 0 b b
b b c 0 a b
0 a a a a a
0 a b a b a
0 c c c c c
0 c 0 c 0 c
b a c c a a
b a 0 c b a
b c a a c c
b c b a 0 c
a 0 a a 0 0
a 0 b a c 0
a b c c b b
a b 0 c a b
c 0 c c 0 0
c 0 0 c c 0
c b a a b b
c b b a a b
a a 0 0 a a
a a c 0 b a
a c b b c c
a c a b 0 c
c a b b a a
c a a b b a
c c 0 0 c c
c c c 0 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 5x3 + 6x4 + 11x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)1 (X_b)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_a)2 (X_b)3 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)3 (X_b)2 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1852

a 0 a a 0 0
0 a a a a a
b 0 b b 0 0
0 b b b b b
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b b b b b
0 b a b a a
b 0 b b 0 0
b 0 a b c c
b b 0 0 b b
b b c 0 a a
0 a a a a a
0 a b a b b
0 c c c c c
0 c 0 c 0 0
b a c c a a
b a 0 c b b
b c a a c c
b c b a 0 0
a 0 a a 0 0
a 0 b a c c
a b c c b b
a b 0 c a a
c 0 c c 0 0
c 0 0 c c c
c b a a b b
c b b a a a
a a 0 0 a a
a a c 0 b b
a c b b c c
a c a b 0 0
c a b b a a
c a a b b b
c c 0 0 c c
c c c 0 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 5x3 + 6x4 + 11x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)1 (X_b)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_a)2 (X_b)3 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1853

a 0 a a 0 0
0 a a a a a
b 0 b b 0 0
0 b b b b b
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b b b b b
0 b a a b b
b 0 b b 0 0
b 0 a a 0 0
b b 0 0 b b
b b c c b b
0 a a a a a
0 a b b a a
0 c c c c c
0 c 0 0 c c
b a c c a a
b a 0 0 a a
b c a a c c
b c b b c c
a 0 a a 0 0
a 0 b b 0 0
a b c c b b
a b 0 0 b b
c 0 c c 0 0
c 0 0 0 0 0
c b a a b b
c b b b b b
a a 0 0 a a
a a c c a a
a c b b c c
a c a a c c
c a b b a a
c a a a a a
c c 0 0 c c
c c c c c c

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 1x2 + 6x3 + 5x4 + 5x5 + 13x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)1 (X_b)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)3 (X_b)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)2 (X_b)4 + (X_b)4 (X_c)2 + (X_0)1 (X_a)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)3 (X_b)1 + (X_a)2 (X_b)1 (X_c)3 + (X_b)3 (X_c)3 + (X_0)3 (X_a)3 + (X_0)3 (X_a)1 (X_b)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)1 (X_b)3 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_b)5 (X_c)1 + (X_0)2 (X_a)4 + (X_a)4 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_a)3 (X_c)3 + (X_a)3 (X_b)2 (X_c)1 + (X_a)5 (X_c)1 + (X_0)2 (X_c)4 + (X_c)6

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1854

a 0 a a 0 0
0 a a a a a
b 0 b b 0 0
0 b b b b b
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b b b b b
0 b a a b a
b 0 b b 0 0
b 0 a a 0 c
b b 0 0 b b
b b c c b a
0 a a a a a
0 a b b a b
0 c c c c c
0 c 0 0 c 0
b a c c a a
b a 0 0 a b
b c a a c c
b c b b c 0
a 0 a a 0 0
a 0 b b 0 c
a b c c b b
a b 0 0 b a
c 0 c c 0 0
c 0 0 0 0 c
c b a a b b
c b b b b a
a a 0 0 a a
a a c c a b
a c b b c c
a c a a c 0
c a b b a a
c a a a a b
c c 0 0 c c
c c c c c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 2x2 + 4x3 + 7x4 + 8x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)1 (X_b)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_b)4 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_a)2 (X_b)3 (X_c)1 + (X_a)1 (X_b)4 (X_c)1 + (X_0)2 (X_a)4 + (X_a)3 (X_b)1 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)3 (X_c)2 + (X_a)3 (X_b)2 (X_c)1 + (X_a)4 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1855

a 0 a a 0 0
0 a a a a a
b 0 b b 0 0
0 b b b b b
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b b b b b
0 b a a a b
b 0 b b 0 0
b 0 a a c 0
b b 0 0 b b
b b c c a b
0 a a a a a
0 a b b b a
0 c c c c c
0 c 0 0 0 c
b a c c a a
b a 0 0 b a
b c a a c c
b c b b 0 c
a 0 a a 0 0
a 0 b b c 0
a b c c b b
a b 0 0 a b
c 0 c c 0 0
c 0 0 0 c 0
c b a a b b
c b b b a b
a a 0 0 a a
a a c c b a
a c b b c c
a c a a 0 c
c a b b a a
c a a a b a
c c 0 0 c c
c c c c 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 2x2 + 4x3 + 7x4 + 8x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)1 (X_b)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_b)4 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_a)2 (X_b)3 (X_c)1 + (X_a)1 (X_b)4 (X_c)1 + (X_0)2 (X_a)4 + (X_a)3 (X_b)1 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)3 (X_c)2 + (X_a)3 (X_b)2 (X_c)1 + (X_a)4 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1856

a 0 a a 0 0
0 a a a a a
b 0 b b 0 0
0 b b b b b
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b b b b b
0 b a a a a
b 0 b b 0 0
b 0 a a c c
b b 0 0 b b
b b c c a a
0 a a a a a
0 a b b b b
0 c c c c c
0 c 0 0 0 0
b a c c a a
b a 0 0 b b
b c a a c c
b c b b 0 0
a 0 a a 0 0
a 0 b b c c
a b c c b b
a b 0 0 a a
c 0 c c 0 0
c 0 0 0 c c
c b a a b b
c b b b a a
a a 0 0 a a
a a c c b b
a c b b c c
a c a a 0 0
c a b b a a
c a a a b b
c c 0 0 c c
c c c c 0 0

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 0x2 + 4x3 + 9x4 + 7x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)1 (X_b)5 + (X_0)1 (X_a)4 (X_b)1 + (X_0)3 (X_b)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_b)4 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)5 + (X_0)1 (X_a)1 (X_b)4 + (X_0)1 (X_c)5 + (X_0)5 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)3 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_b)3 (X_c)1 + (X_0)3 (X_a)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)3 (X_b)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_a)2 (X_b)3 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_a)2 (X_b)2 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)3 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1857

a 0 a a 0 a
0 a a 0 0 0
b 0 b b 0 b
0 b b 0 0 0
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b b 0 0 0
0 b a 0 0 0
b 0 b b 0 b
b 0 a b 0 b
b b 0 b 0 b
b b c b 0 b
0 a a 0 0 0
0 a b 0 0 0
0 c c 0 0 0
0 c 0 0 0 0
b a c b 0 b
b a 0 b 0 b
b c a b 0 b
b c b b 0 b
a 0 a a 0 a
a 0 b a 0 a
a b c a 0 a
a b 0 a 0 a
c 0 c c 0 c
c 0 0 c 0 c
c b a c 0 c
c b b c 0 c
a a 0 a 0 a
a a c a 0 a
a c b a 0 a
a c a a 0 a
c a b c 0 c
c a a c 0 c
c c 0 c 0 c
c c c c 0 c

dmin: 1
Weight Enumerator: 1x0 + 2x1 + 5x2 + 1x3 + 10x4 + 13x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)4 (X_b)2 + (X_0)4 (X_a)1 (X_b)1 + (X_0)2 (X_b)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)2 (X_b)4 + (X_0)1 (X_b)4 (X_c)1 + (X_0)4 (X_a)2 + (X_0)4 (X_a)1 (X_b)1 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_b)4 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)3 (X_b)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)4 + (X_0)1 (X_a)4 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)4 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)2 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0

Is it a nice code?: No

Generator Matrix-1858

a 0 a a 0 a
0 a a 0 0 0
b 0 b b 0 b
0 b b 0 0 0
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b b 0 0 0
0 b a 0 0 c
b 0 b b 0 b
b 0 a b 0 a
b b 0 b 0 b
b b c b 0 a
0 a a 0 0 0
0 a b 0 0 c
0 c c 0 0 0
0 c 0 0 0 c
b a c b 0 b
b a 0 b 0 a
b c a b 0 b
b c b b 0 a
a 0 a a 0 a
a 0 b a 0 b
a b c a 0 a
a b 0 a 0 b
c 0 c c 0 c
c 0 0 c 0 0
c b a c 0 c
c b b c 0 0
a a 0 a 0 a
a a c a 0 b
a c b a 0 a
a c a a 0 b
c a b c 0 c
c a a c 0 0
c c 0 c 0 c
c c c c 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 6x2 + 2x3 + 13x4 + 10x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_b)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)4 (X_a)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0

Is it a nice code?: No

Generator Matrix-1859

a 0 a a 0 a
0 a a 0 0 0
b 0 b b 0 b
0 b b 0 0 0
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b b 0 0 0
0 b a 0 c 0
b 0 b b 0 b
b 0 a b c b
b b 0 b 0 b
b b c b c b
0 a a 0 0 0
0 a b 0 c 0
0 c c 0 0 0
0 c 0 0 c 0
b a c b 0 b
b a 0 b c b
b c a b 0 b
b c b b c b
a 0 a a 0 a
a 0 b a c a
a b c a 0 a
a b 0 a c a
c 0 c c 0 c
c 0 0 c c c
c b a c 0 c
c b b c c c
a a 0 a 0 a
a a c a c a
a c b a 0 a
a c a a c a
c a b c 0 c
c a a c c c
c c 0 c 0 c
c c c c c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 5x2 + 2x3 + 7x4 + 10x5 + 7x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_b)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_b)4 + (X_b)4 (X_c)2 + (X_0)4 (X_a)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_b)4 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_b)2 (X_c)4 + (X_0)2 (X_a)4 + (X_a)4 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)4 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_a)2 (X_c)4 + (X_0)2 (X_c)4 + (X_c)6

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0

Is it a nice code?: No

Generator Matrix-1860

a 0 a a 0 a
0 a a 0 0 0
b 0 b b 0 b
0 b b 0 0 0
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b b 0 0 0
0 b a 0 c c
b 0 b b 0 b
b 0 a b c a
b b 0 b 0 b
b b c b c a
0 a a 0 0 0
0 a b 0 c c
0 c c 0 0 0
0 c 0 0 c c
b a c b 0 b
b a 0 b c a
b c a b 0 b
b c b b c a
a 0 a a 0 a
a 0 b a c b
a b c a 0 a
a b 0 a c b
c 0 c c 0 c
c 0 0 c c 0
c b a c 0 c
c b b c c 0
a a 0 a 0 a
a a c a c b
a c b a 0 a
a c a a c b
c a b c 0 c
c a a c c 0
c c 0 c 0 c
c c c c c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 3x3 + 8x4 + 13x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_b)4 + (X_a)1 (X_b)3 (X_c)2 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)4 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)2 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0

Is it a nice code?: No

Generator Matrix-1861

a 0 a a 0 a
0 a a 0 0 0
b 0 b b 0 b
0 b b 0 0 0
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b b 0 0 0
0 b a c 0 0
b 0 b b 0 b
b 0 a a 0 b
b b 0 b 0 b
b b c a 0 b
0 a a 0 0 0
0 a b c 0 0
0 c c 0 0 0
0 c 0 c 0 0
b a c b 0 b
b a 0 a 0 b
b c a b 0 b
b c b a 0 b
a 0 a a 0 a
a 0 b b 0 a
a b c a 0 a
a b 0 b 0 a
c 0 c c 0 c
c 0 0 0 0 c
c b a c 0 c
c b b 0 0 c
a a 0 a 0 a
a a c b 0 a
a c b a 0 a
a c a b 0 a
c a b c 0 c
c a a 0 0 c
c c 0 c 0 c
c c c 0 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 6x2 + 2x3 + 13x4 + 10x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_b)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)4 (X_a)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0

Is it a nice code?: No

Generator Matrix-1862

a 0 a a 0 a
0 a a 0 0 0
b 0 b b 0 b
0 b b 0 0 0
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b b 0 0 0
0 b a c 0 c
b 0 b b 0 b
b 0 a a 0 a
b b 0 b 0 b
b b c a 0 a
0 a a 0 0 0
0 a b c 0 c
0 c c 0 0 0
0 c 0 c 0 c
b a c b 0 b
b a 0 a 0 a
b c a b 0 b
b c b a 0 a
a 0 a a 0 a
a 0 b b 0 b
a b c a 0 a
a b 0 b 0 b
c 0 c c 0 c
c 0 0 0 0 0
c b a c 0 c
c b b 0 0 0
a a 0 a 0 a
a a c b 0 b
a c b a 0 a
a c a b 0 b
c a b c 0 c
c a a 0 0 0
c c 0 c 0 c
c c c 0 0 0

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 3x2 + 5x3 + 12x4 + 10x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_b)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)3 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_a)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0

Is it a nice code?: No

Generator Matrix-1863

a 0 a a 0 a
0 a a 0 0 0
b 0 b b 0 b
0 b b 0 0 0
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b b 0 0 0
0 b a c c 0
b 0 b b 0 b
b 0 a a c b
b b 0 b 0 b
b b c a c b
0 a a 0 0 0
0 a b c c 0
0 c c 0 0 0
0 c 0 c c 0
b a c b 0 b
b a 0 a c b
b c a b 0 b
b c b a c b
a 0 a a 0 a
a 0 b b c a
a b c a 0 a
a b 0 b c a
c 0 c c 0 c
c 0 0 0 c c
c b a c 0 c
c b b 0 c c
a a 0 a 0 a
a a c b c a
a c b a 0 a
a c a b c a
c a b c 0 c
c a a 0 c c
c c 0 c 0 c
c c c 0 c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 3x3 + 8x4 + 13x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_b)4 + (X_a)1 (X_b)3 (X_c)2 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)4 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)2 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0

Is it a nice code?: No

Generator Matrix-1864

a 0 a a 0 a
0 a a 0 0 0
b 0 b b 0 b
0 b b 0 0 0
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b b 0 0 0
0 b a c c c
b 0 b b 0 b
b 0 a a c a
b b 0 b 0 b
b b c a c a
0 a a 0 0 0
0 a b c c c
0 c c 0 0 0
0 c 0 c c c
b a c b 0 b
b a 0 a c a
b c a b 0 b
b c b a c a
a 0 a a 0 a
a 0 b b c b
a b c a 0 a
a b 0 b c b
c 0 c c 0 c
c 0 0 0 c 0
c b a c 0 c
c b b 0 c 0
a a 0 a 0 a
a a c b c b
a c b a 0 a
a c a b c b
c a b c 0 c
c a a 0 c 0
c c 0 c 0 c
c c c 0 c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 0x3 + 11x4 + 12x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)4 (X_b)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_b)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_b)4 + (X_a)2 (X_b)2 (X_c)2 + (X_0)4 (X_a)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0

Is it a nice code?: No

Generator Matrix-1865

a 0 a a 0 a
0 a a 0 0 a
b 0 b b 0 b
0 b b 0 0 b
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b b 0 0 b
0 b a 0 0 b
b 0 b b 0 b
b 0 a b 0 b
b b 0 b 0 0
b b c b 0 0
0 a a 0 0 a
0 a b 0 0 a
0 c c 0 0 c
0 c 0 0 0 c
b a c b 0 c
b a 0 b 0 c
b c a b 0 a
b c b b 0 a
a 0 a a 0 a
a 0 b a 0 a
a b c a 0 c
a b 0 a 0 c
c 0 c c 0 c
c 0 0 c 0 c
c b a c 0 a
c b b c 0 a
a a 0 a 0 0
a a c a 0 0
a c b a 0 b
a c a a 0 b
c a b c 0 b
c a a c 0 b
c c 0 c 0 0
c c c c 0 0

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 1x2 + 9x3 + 10x4 + 10x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)3 (X_b)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)2 (X_b)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)3 (X_b)3 + (X_0)2 (X_b)3 (X_c)1 + (X_0)3 (X_a)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0

Is it a nice code?: No

Generator Matrix-1866

a 0 a a 0 a
0 a a 0 0 a
b 0 b b 0 b
0 b b 0 0 b
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b b 0 0 b
0 b a 0 0 a
b 0 b b 0 b
b 0 a b 0 a
b b 0 b 0 0
b b c b 0 c
0 a a 0 0 a
0 a b 0 0 b
0 c c 0 0 c
0 c 0 0 0 0
b a c b 0 c
b a 0 b 0 0
b c a b 0 a
b c b b 0 b
a 0 a a 0 a
a 0 b a 0 b
a b c a 0 c
a b 0 a 0 0
c 0 c c 0 c
c 0 0 c 0 0
c b a c 0 a
c b b c 0 b
a a 0 a 0 0
a a c a 0 c
a c b a 0 b
a c a a 0 a
c a b c 0 b
c a a c 0 a
c c 0 c 0 0
c c c c 0 c

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 2x2 + 10x3 + 5x4 + 13x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)3 (X_b)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)1 (X_b)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_b)4 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)2 (X_b)1 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)4 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)3 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0

Is it a nice code?: No

Generator Matrix-1867

a 0 a a 0 a
0 a a 0 0 a
b 0 b b 0 b
0 b b 0 0 b
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b b 0 0 b
0 b a 0 c b
b 0 b b 0 b
b 0 a b c b
b b 0 b 0 0
b b c b c 0
0 a a 0 0 a
0 a b 0 c a
0 c c 0 0 c
0 c 0 0 c c
b a c b 0 c
b a 0 b c c
b c a b 0 a
b c b b c a
a 0 a a 0 a
a 0 b a c a
a b c a 0 c
a b 0 a c c
c 0 c c 0 c
c 0 0 c c c
c b a c 0 a
c b b c c a
a a 0 a 0 0
a a c a c 0
a c b a 0 b
a c a a c b
c a b c 0 b
c a a c c b
c c 0 c 0 0
c c c c c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 7x3 + 6x4 + 13x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)3 (X_b)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0

Is it a nice code?: No

Generator Matrix-1868

a 0 a a 0 a
0 a a 0 0 a
b 0 b b 0 b
0 b b 0 0 b
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b b 0 0 b
0 b a 0 c a
b 0 b b 0 b
b 0 a b c a
b b 0 b 0 0
b b c b c c
0 a a 0 0 a
0 a b 0 c b
0 c c 0 0 c
0 c 0 0 c 0
b a c b 0 c
b a 0 b c 0
b c a b 0 a
b c b b c b
a 0 a a 0 a
a 0 b a c b
a b c a 0 c
a b 0 a c 0
c 0 c c 0 c
c 0 0 c c 0
c b a c 0 a
c b b c c b
a a 0 a 0 0
a a c a c c
a c b a 0 b
a c a a c a
c a b c 0 b
c a a c c a
c c 0 c 0 0
c c c c c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 8x3 + 7x4 + 8x5 + 7x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_b)3 + (X_b)3 (X_c)3 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_b)4 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_b)3 (X_c)3 + (X_0)3 (X_a)3 + (X_a)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)4 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)3 (X_c)3 + (X_0)3 (X_c)3 + (X_c)6

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0

Is it a nice code?: No

Generator Matrix-1869

a 0 a a 0 a
0 a a 0 0 a
b 0 b b 0 b
0 b b 0 0 b
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b b 0 0 b
0 b a c 0 b
b 0 b b 0 b
b 0 a a 0 b
b b 0 b 0 0
b b c a 0 0
0 a a 0 0 a
0 a b c 0 a
0 c c 0 0 c
0 c 0 c 0 c
b a c b 0 c
b a 0 a 0 c
b c a b 0 a
b c b a 0 a
a 0 a a 0 a
a 0 b b 0 a
a b c a 0 c
a b 0 b 0 c
c 0 c c 0 c
c 0 0 0 0 c
c b a c 0 a
c b b 0 0 a
a a 0 a 0 0
a a c b 0 0
a c b a 0 b
a c a b 0 b
c a b c 0 b
c a a 0 0 b
c c 0 c 0 0
c c c 0 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 2x2 + 8x3 + 13x4 + 8x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0

Is it a nice code?: No

Generator Matrix-1870

a 0 a a 0 a
0 a a 0 0 a
b 0 b b 0 b
0 b b 0 0 b
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b b 0 0 b
0 b a c 0 a
b 0 b b 0 b
b 0 a a 0 a
b b 0 b 0 0
b b c a 0 c
0 a a 0 0 a
0 a b c 0 b
0 c c 0 0 c
0 c 0 c 0 0
b a c b 0 c
b a 0 a 0 0
b c a b 0 a
b c b a 0 b
a 0 a a 0 a
a 0 b b 0 b
a b c a 0 c
a b 0 b 0 0
c 0 c c 0 c
c 0 0 0 0 0
c b a c 0 a
c b b 0 0 b
a a 0 a 0 0
a a c b 0 c
a c b a 0 b
a c a b 0 a
c a b c 0 b
c a a 0 0 a
c c 0 c 0 0
c c c 0 0 c

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 1x2 + 9x3 + 10x4 + 10x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_b)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)2 (X_b)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)1 (X_b)2 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_b)3 (X_c)1 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)3 (X_c)1 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0

Is it a nice code?: No

Generator Matrix-1871

a 0 a a 0 a
0 a a 0 0 a
b 0 b b 0 b
0 b b 0 0 b
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b b 0 0 b
0 b a c c b
b 0 b b 0 b
b 0 a a c b
b b 0 b 0 0
b b c a c 0
0 a a 0 0 a
0 a b c c a
0 c c 0 0 c
0 c 0 c c c
b a c b 0 c
b a 0 a c c
b c a b 0 a
b c b a c a
a 0 a a 0 a
a 0 b b c a
a b c a 0 c
a b 0 b c c
c 0 c c 0 c
c 0 0 0 c c
c b a c 0 a
c b b 0 c a
a a 0 a 0 0
a a c b c 0
a c b a 0 b
a c a b c b
c a b c 0 b
c a a 0 c b
c c 0 c 0 0
c c c 0 c 0

dmin: 3
Weight Enumerator: 1x0 + 0x1 + 0x2 + 8x3 + 5x4 + 16x5 + 2x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0

Is it a nice code?: No

Generator Matrix-1872

a 0 a a 0 a
0 a a 0 0 a
b 0 b b 0 b
0 b b 0 0 b
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b b 0 0 b
0 b a c c a
b 0 b b 0 b
b 0 a a c a
b b 0 b 0 0
b b c a c c
0 a a 0 0 a
0 a b c c b
0 c c 0 0 c
0 c 0 c c 0
b a c b 0 c
b a 0 a c 0
b c a b 0 a
b c b a c b
a 0 a a 0 a
a 0 b b c b
a b c a 0 c
a b 0 b c 0
c 0 c c 0 c
c 0 0 0 c 0
c b a c 0 a
c b b 0 c b
a a 0 a 0 0
a a c b c c
a c b a 0 b
a c a b c a
c a b c 0 b
c a a 0 c a
c c 0 c 0 0
c c c 0 c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 7x3 + 6x4 + 13x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)3 (X_b)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)3 (X_b)3 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)3 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0

Is it a nice code?: No

Generator Matrix-1873

a 0 a a 0 a
0 a a 0 a 0
b 0 b b 0 b
0 b b 0 b 0
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b b 0 b 0
0 b a 0 b 0
b 0 b b 0 b
b 0 a b 0 b
b b 0 b b b
b b c b b b
0 a a 0 a 0
0 a b 0 a 0
0 c c 0 c 0
0 c 0 0 c 0
b a c b a b
b a 0 b a b
b c a b c b
b c b b c b
a 0 a a 0 a
a 0 b a 0 a
a b c a b a
a b 0 a b a
c 0 c c 0 c
c 0 0 c 0 c
c b a c b c
c b b c b c
a a 0 a a a
a a c a a a
a c b a c a
a c a a c a
c a b c a c
c a a c a c
c c 0 c c c
c c c c c c

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 1x2 + 6x3 + 5x4 + 5x5 + 13x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)3 (X_b)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)2 (X_b)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_b)5 + (X_b)5 (X_c)1 + (X_0)3 (X_a)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_a)1 (X_b)3 (X_c)2 + (X_b)4 (X_c)2 + (X_0)2 (X_a)4 + (X_0)2 (X_a)3 (X_b)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_a)1 (X_b)2 (X_c)3 + (X_b)3 (X_c)3 + (X_0)1 (X_a)5 + (X_a)5 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_a)4 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_a)3 (X_c)3 + (X_0)1 (X_c)5 + (X_c)6

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1874

a 0 a a 0 a
0 a a 0 a 0
b 0 b b 0 b
0 b b 0 b 0
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b b 0 b 0
0 b a 0 b c
b 0 b b 0 b
b 0 a b 0 a
b b 0 b b b
b b c b b a
0 a a 0 a 0
0 a b 0 a c
0 c c 0 c 0
0 c 0 0 c c
b a c b a b
b a 0 b a a
b c a b c b
b c b b c a
a 0 a a 0 a
a 0 b a 0 b
a b c a b a
a b 0 a b b
c 0 c c 0 c
c 0 0 c 0 0
c b a c b c
c b b c b 0
a a 0 a a a
a a c a a b
a c b a c a
a c a a c b
c a b c a c
c a a c a 0
c c 0 c c c
c c c c c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 2x2 + 4x3 + 7x4 + 8x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_b)5 + (X_a)1 (X_b)4 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_a)1 (X_b)3 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)5 + (X_a)4 (X_b)1 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1875

a 0 a a 0 a
0 a a 0 a 0
b 0 b b 0 b
0 b b 0 b 0
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b b 0 b 0
0 b a 0 a 0
b 0 b b 0 b
b 0 a b c b
b b 0 b b b
b b c b a b
0 a a 0 a 0
0 a b 0 b 0
0 c c 0 c 0
0 c 0 0 0 0
b a c b a b
b a 0 b b b
b c a b c b
b c b b 0 b
a 0 a a 0 a
a 0 b a c a
a b c a b a
a b 0 a a a
c 0 c c 0 c
c 0 0 c c c
c b a c b c
c b b c a c
a a 0 a a a
a a c a b a
a c b a c a
a c a a 0 a
c a b c a c
c a a c b c
c c 0 c c c
c c c c 0 c

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 1x2 + 5x3 + 4x4 + 10x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_b)5 + (X_a)1 (X_b)4 (X_c)1 + (X_0)3 (X_a)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)4 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_b)4 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)4 (X_b)1 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_a)1 (X_b)2 (X_c)3 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)5 + (X_a)4 (X_b)1 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)4 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1876

a 0 a a 0 a
0 a a 0 a 0
b 0 b b 0 b
0 b b 0 b 0
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b b 0 b 0
0 b a 0 a c
b 0 b b 0 b
b 0 a b c a
b b 0 b b b
b b c b a a
0 a a 0 a 0
0 a b 0 b c
0 c c 0 c 0
0 c 0 0 0 c
b a c b a b
b a 0 b b a
b c a b c b
b c b b 0 a
a 0 a a 0 a
a 0 b a c b
a b c a b a
a b 0 a a b
c 0 c c 0 c
c 0 0 c c 0
c b a c b c
c b b c a 0
a a 0 a a a
a a c a b b
a c b a c a
a c a a 0 b
c a b c a c
c a a c b 0
c c 0 c c c
c c c c 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 5x3 + 6x4 + 11x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_b)5 + (X_a)2 (X_b)3 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)5 + (X_a)3 (X_b)2 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1877

a 0 a a 0 a
0 a a 0 a 0
b 0 b b 0 b
0 b b 0 b 0
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b b 0 b 0
0 b a c b 0
b 0 b b 0 b
b 0 a a 0 b
b b 0 b b b
b b c a b b
0 a a 0 a 0
0 a b c a 0
0 c c 0 c 0
0 c 0 c c 0
b a c b a b
b a 0 a a b
b c a b c b
b c b a c b
a 0 a a 0 a
a 0 b b 0 a
a b c a b a
a b 0 b b a
c 0 c c 0 c
c 0 0 0 0 c
c b a c b c
c b b 0 b c
a a 0 a a a
a a c b a a
a c b a c a
a c a b c a
c a b c a c
c a a 0 a c
c c 0 c c c
c c c 0 c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 2x2 + 4x3 + 7x4 + 8x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_b)5 + (X_a)1 (X_b)4 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_a)1 (X_b)3 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)5 + (X_a)4 (X_b)1 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1878

a 0 a a 0 a
0 a a 0 a 0
b 0 b b 0 b
0 b b 0 b 0
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b b 0 b 0
0 b a c b c
b 0 b b 0 b
b 0 a a 0 a
b b 0 b b b
b b c a b a
0 a a 0 a 0
0 a b c a c
0 c c 0 c 0
0 c 0 c c c
b a c b a b
b a 0 a a a
b c a b c b
b c b a c a
a 0 a a 0 a
a 0 b b 0 b
a b c a b a
a b 0 b b b
c 0 c c 0 c
c 0 0 0 0 0
c b a c b c
c b b 0 b 0
a a 0 a a a
a a c b a b
a c b a c a
a c a b c b
c a b c a c
c a a 0 a 0
c c 0 c c c
c c c 0 c 0

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 0x2 + 4x3 + 9x4 + 7x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_b)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_b)5 + (X_a)2 (X_b)3 (X_c)1 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)4 (X_b)1 + (X_a)1 (X_b)3 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)2 (X_a)1 (X_b)3 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)4 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)5 + (X_a)3 (X_b)2 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)3 (X_c)1 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1879

a 0 a a 0 a
0 a a 0 a 0
b 0 b b 0 b
0 b b 0 b 0
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b b 0 b 0
0 b a c a 0
b 0 b b 0 b
b 0 a a c b
b b 0 b b b
b b c a a b
0 a a 0 a 0
0 a b c b 0
0 c c 0 c 0
0 c 0 c 0 0
b a c b a b
b a 0 a b b
b c a b c b
b c b a 0 b
a 0 a a 0 a
a 0 b b c a
a b c a b a
a b 0 b a a
c 0 c c 0 c
c 0 0 0 c c
c b a c b c
c b b 0 a c
a a 0 a a a
a a c b b a
a c b a c a
a c a b 0 a
c a b c a c
c a a 0 b c
c c 0 c c c
c c c 0 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 5x3 + 6x4 + 11x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_b)5 + (X_a)2 (X_b)3 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)5 + (X_a)3 (X_b)2 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1880

a 0 a a 0 a
0 a a 0 a 0
b 0 b b 0 b
0 b b 0 b 0
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b b 0 b 0
0 b a c a c
b 0 b b 0 b
b 0 a a c a
b b 0 b b b
b b c a a a
0 a a 0 a 0
0 a b c b c
0 c c 0 c 0
0 c 0 c 0 c
b a c b a b
b a 0 a b a
b c a b c b
b c b a 0 a
a 0 a a 0 a
a 0 b b c b
a b c a b a
a b 0 b a b
c 0 c c 0 c
c 0 0 0 c 0
c b a c b c
c b b 0 a 0
a a 0 a a a
a a c b b b
a c b a c a
a c a b 0 b
c a b c a c
c a a 0 b 0
c c 0 c c c
c c c 0 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 5x3 + 6x4 + 11x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)3 (X_b)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_b)5 + (X_a)3 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)5 + (X_a)2 (X_b)3 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1881

a 0 a a 0 a
0 a a 0 a a
b 0 b b 0 b
0 b b 0 b b
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b b 0 b b
0 b a 0 b b
b 0 b b 0 b
b 0 a b 0 b
b b 0 b b 0
b b c b b 0
0 a a 0 a a
0 a b 0 a a
0 c c 0 c c
0 c 0 0 c c
b a c b a c
b a 0 b a c
b c a b c a
b c b b c a
a 0 a a 0 a
a 0 b a 0 a
a b c a b c
a b 0 a b c
c 0 c c 0 c
c 0 0 c 0 c
c b a c b a
c b b c b a
a a 0 a a 0
a a c a a 0
a c b a c b
a c a a c b
c a b c a b
c a a c a b
c c 0 c c 0
c c c c c 0

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 0x2 + 2x3 + 13x4 + 5x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)2 (X_b)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)2 (X_b)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)2 (X_b)4 + (X_0)1 (X_b)4 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)4 + (X_0)2 (X_a)3 (X_b)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_a)2 (X_b)2 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)4 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1882

a 0 a a 0 a
0 a a 0 a a
b 0 b b 0 b
0 b b 0 b b
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b b 0 b b
0 b a 0 b a
b 0 b b 0 b
b 0 a b 0 a
b b 0 b b 0
b b c b b c
0 a a 0 a a
0 a b 0 a b
0 c c 0 c c
0 c 0 0 c 0
b a c b a c
b a 0 b a 0
b c a b c a
b c b b c b
a 0 a a 0 a
a 0 b a 0 b
a b c a b c
a b 0 a b 0
c 0 c c 0 c
c 0 0 c 0 0
c b a c b a
c b b c b b
a a 0 a a 0
a a c a a c
a c b a c b
a c a a c a
c a b c a b
c a a c a a
c c 0 c c 0
c c c c c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 0x3 + 15x4 + 0x5 + 13x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_b)4 + (X_b)4 (X_c)2 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_a)2 (X_b)2 (X_c)2 + (X_b)4 (X_c)2 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_b)4 (X_c)2 + (X_0)2 (X_a)4 + (X_a)4 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_a)4 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_a)4 (X_c)2 + (X_0)2 (X_c)4 + (X_c)6

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1883

a 0 a a 0 a
0 a a 0 a a
b 0 b b 0 b
0 b b 0 b b
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b b 0 b b
0 b a 0 a b
b 0 b b 0 b
b 0 a b c b
b b 0 b b 0
b b c b a 0
0 a a 0 a a
0 a b 0 b a
0 c c 0 c c
0 c 0 0 0 c
b a c b a c
b a 0 b b c
b c a b c a
b c b b 0 a
a 0 a a 0 a
a 0 b a c a
a b c a b c
a b 0 a a c
c 0 c c 0 c
c 0 0 c c c
c b a c b a
c b b c a a
a a 0 a a 0
a a c a b 0
a c b a c b
a c a a 0 b
c a b c a b
c a a c b b
c c 0 c c 0
c c c c 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 2x2 + 0x3 + 13x4 + 8x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_a)2 (X_b)2 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1884

a 0 a a 0 a
0 a a 0 a a
b 0 b b 0 b
0 b b 0 b b
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b b 0 b b
0 b a 0 a a
b 0 b b 0 b
b 0 a b c a
b b 0 b b 0
b b c b a c
0 a a 0 a a
0 a b 0 b b
0 c c 0 c c
0 c 0 0 0 0
b a c b a c
b a 0 b b 0
b c a b c a
b c b b 0 b
a 0 a a 0 a
a 0 b a c b
a b c a b c
a b 0 a a 0
c 0 c c 0 c
c 0 0 c c 0
c b a c b a
c b b c a b
a a 0 a a 0
a a c a b c
a c b a c b
a c a a 0 a
c a b c a b
c a a c b a
c c 0 c c 0
c c c c 0 c

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 0x2 + 2x3 + 13x4 + 5x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)2 (X_b)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_b)4 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)3 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_b)4 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)3 (X_b)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_a)2 (X_b)2 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)4 + (X_a)3 (X_b)1 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)4 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1885

a 0 a a 0 a
0 a a 0 a a
b 0 b b 0 b
0 b b 0 b b
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b b 0 b b
0 b a c b b
b 0 b b 0 b
b 0 a a 0 b
b b 0 b b 0
b b c a b 0
0 a a 0 a a
0 a b c a a
0 c c 0 c c
0 c 0 c c c
b a c b a c
b a 0 a a c
b c a b c a
b c b a c a
a 0 a a 0 a
a 0 b b 0 a
a b c a b c
a b 0 b b c
c 0 c c 0 c
c 0 0 0 0 c
c b a c b a
c b b 0 b a
a a 0 a a 0
a a c b a 0
a c b a c b
a c a b c b
c a b c a b
c a a 0 a b
c c 0 c c 0
c c c 0 c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 2x2 + 0x3 + 13x4 + 8x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1886

a 0 a a 0 a
0 a a 0 a a
b 0 b b 0 b
0 b b 0 b b
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b b 0 b b
0 b a c b a
b 0 b b 0 b
b 0 a a 0 a
b b 0 b b 0
b b c a b c
0 a a 0 a a
0 a b c a b
0 c c 0 c c
0 c 0 c c 0
b a c b a c
b a 0 a a 0
b c a b c a
b c b a c b
a 0 a a 0 a
a 0 b b 0 b
a b c a b c
a b 0 b b 0
c 0 c c 0 c
c 0 0 0 0 0
c b a c b a
c b b 0 b b
a a 0 a a 0
a a c b a c
a c b a c b
a c a b c a
c a b c a b
c a a 0 a a
c c 0 c c 0
c c c 0 c c

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 0x2 + 2x3 + 13x4 + 5x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_b)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)2 (X_b)4 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)3 (X_b)1 + (X_a)2 (X_b)2 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)4 + (X_0)2 (X_a)1 (X_b)3 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)3 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_b)4 (X_c)1 + (X_0)2 (X_a)4 + (X_a)3 (X_b)1 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)4 (X_c)1 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1887

a 0 a a 0 a
0 a a 0 a a
b 0 b b 0 b
0 b b 0 b b
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b b 0 b b
0 b a c a b
b 0 b b 0 b
b 0 a a c b
b b 0 b b 0
b b c a a 0
0 a a 0 a a
0 a b c b a
0 c c 0 c c
0 c 0 c 0 c
b a c b a c
b a 0 a b c
b c a b c a
b c b a 0 a
a 0 a a 0 a
a 0 b b c a
a b c a b c
a b 0 b a c
c 0 c c 0 c
c 0 0 0 c c
c b a c b a
c b b 0 a a
a a 0 a a 0
a a c b b 0
a c b a c b
a c a b 0 b
c a b c a b
c a a 0 b b
c c 0 c c 0
c c c 0 0 0

dmin: 3
Weight Enumerator: 1x0 + 0x1 + 0x2 + 4x3 + 9x4 + 12x5 + 6x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1888

a 0 a a 0 a
0 a a 0 a a
b 0 b b 0 b
0 b b 0 b b
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b b 0 b b
0 b a c a a
b 0 b b 0 b
b 0 a a c a
b b 0 b b 0
b b c a a c
0 a a 0 a a
0 a b c b b
0 c c 0 c c
0 c 0 c 0 0
b a c b a c
b a 0 a b 0
b c a b c a
b c b a 0 b
a 0 a a 0 a
a 0 b b c b
a b c a b c
a b 0 b a 0
c 0 c c 0 c
c 0 0 0 c 0
c b a c b a
c b b 0 a b
a a 0 a a 0
a a c b b c
a c b a c b
a c a b 0 a
c a b c a b
c a a 0 b a
c c 0 c c 0
c c c 0 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 2x2 + 0x3 + 13x4 + 8x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)2 (X_b)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_b)4 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_a)2 (X_b)2 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1889

a 0 a a 0 a
0 a a a 0 0
b 0 b b 0 b
0 b b b 0 0
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b b b 0 0
0 b a b 0 0
b 0 b b 0 b
b 0 a b 0 b
b b 0 0 0 b
b b c 0 0 b
0 a a a 0 0
0 a b a 0 0
0 c c c 0 0
0 c 0 c 0 0
b a c c 0 b
b a 0 c 0 b
b c a a 0 b
b c b a 0 b
a 0 a a 0 a
a 0 b a 0 a
a b c c 0 a
a b 0 c 0 a
c 0 c c 0 c
c 0 0 c 0 c
c b a a 0 c
c b b a 0 c
a a 0 0 0 a
a a c 0 0 a
a c b b 0 a
a c a b 0 a
c a b b 0 c
c a a b 0 c
c c 0 0 0 c
c c c 0 0 c

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 1x2 + 9x3 + 10x4 + 10x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)3 (X_b)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)2 (X_b)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)3 (X_b)3 + (X_0)2 (X_b)3 (X_c)1 + (X_0)3 (X_a)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0

Is it a nice code?: No

Generator Matrix-1890

a 0 a a 0 a
0 a a a 0 0
b 0 b b 0 b
0 b b b 0 0
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b b b 0 0
0 b a b 0 c
b 0 b b 0 b
b 0 a b 0 a
b b 0 0 0 b
b b c 0 0 a
0 a a a 0 0
0 a b a 0 c
0 c c c 0 0
0 c 0 c 0 c
b a c c 0 b
b a 0 c 0 a
b c a a 0 b
b c b a 0 a
a 0 a a 0 a
a 0 b a 0 b
a b c c 0 a
a b 0 c 0 b
c 0 c c 0 c
c 0 0 c 0 0
c b a a 0 c
c b b a 0 0
a a 0 0 0 a
a a c 0 0 b
a c b b 0 a
a c a b 0 b
c a b b 0 c
c a a b 0 0
c c 0 0 0 c
c c c 0 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 2x2 + 8x3 + 13x4 + 8x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0

Is it a nice code?: No

Generator Matrix-1891

a 0 a a 0 a
0 a a a 0 0
b 0 b b 0 b
0 b b b 0 0
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b b b 0 0
0 b a b c 0
b 0 b b 0 b
b 0 a b c b
b b 0 0 0 b
b b c 0 c b
0 a a a 0 0
0 a b a c 0
0 c c c 0 0
0 c 0 c c 0
b a c c 0 b
b a 0 c c b
b c a a 0 b
b c b a c b
a 0 a a 0 a
a 0 b a c a
a b c c 0 a
a b 0 c c a
c 0 c c 0 c
c 0 0 c c c
c b a a 0 c
c b b a c c
a a 0 0 0 a
a a c 0 c a
a c b b 0 a
a c a b c a
c a b b 0 c
c a a b c c
c c 0 0 0 c
c c c 0 c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 7x3 + 6x4 + 13x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)3 (X_b)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0

Is it a nice code?: No

Generator Matrix-1892

a 0 a a 0 a
0 a a a 0 0
b 0 b b 0 b
0 b b b 0 0
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b b b 0 0
0 b a b c c
b 0 b b 0 b
b 0 a b c a
b b 0 0 0 b
b b c 0 c a
0 a a a 0 0
0 a b a c c
0 c c c 0 0
0 c 0 c c c
b a c c 0 b
b a 0 c c a
b c a a 0 b
b c b a c a
a 0 a a 0 a
a 0 b a c b
a b c c 0 a
a b 0 c c b
c 0 c c 0 c
c 0 0 c c 0
c b a a 0 c
c b b a c 0
a a 0 0 0 a
a a c 0 c b
a c b b 0 a
a c a b c b
c a b b 0 c
c a a b c 0
c c 0 0 0 c
c c c 0 c 0

dmin: 3
Weight Enumerator: 1x0 + 0x1 + 0x2 + 8x3 + 5x4 + 16x5 + 2x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0

Is it a nice code?: No

Generator Matrix-1893

a 0 a a 0 a
0 a a a 0 0
b 0 b b 0 b
0 b b b 0 0
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b b b 0 0
0 b a a 0 0
b 0 b b 0 b
b 0 a a 0 b
b b 0 0 0 b
b b c c 0 b
0 a a a 0 0
0 a b b 0 0
0 c c c 0 0
0 c 0 0 0 0
b a c c 0 b
b a 0 0 0 b
b c a a 0 b
b c b b 0 b
a 0 a a 0 a
a 0 b b 0 a
a b c c 0 a
a b 0 0 0 a
c 0 c c 0 c
c 0 0 0 0 c
c b a a 0 c
c b b b 0 c
a a 0 0 0 a
a a c c 0 a
a c b b 0 a
a c a a 0 a
c a b b 0 c
c a a a 0 c
c c 0 0 0 c
c c c c 0 c

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 2x2 + 10x3 + 5x4 + 13x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)3 (X_b)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)1 (X_b)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_b)4 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)2 (X_b)1 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)4 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)3 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0

Is it a nice code?: No

Generator Matrix-1894

a 0 a a 0 a
0 a a a 0 0
b 0 b b 0 b
0 b b b 0 0
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b b b 0 0
0 b a a 0 c
b 0 b b 0 b
b 0 a a 0 a
b b 0 0 0 b
b b c c 0 a
0 a a a 0 0
0 a b b 0 c
0 c c c 0 0
0 c 0 0 0 c
b a c c 0 b
b a 0 0 0 a
b c a a 0 b
b c b b 0 a
a 0 a a 0 a
a 0 b b 0 b
a b c c 0 a
a b 0 0 0 b
c 0 c c 0 c
c 0 0 0 0 0
c b a a 0 c
c b b b 0 0
a a 0 0 0 a
a a c c 0 b
a c b b 0 a
a c a a 0 b
c a b b 0 c
c a a a 0 0
c c 0 0 0 c
c c c c 0 0

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 1x2 + 9x3 + 10x4 + 10x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_b)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)2 (X_b)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)1 (X_b)2 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_b)3 (X_c)1 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)3 (X_c)1 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0

Is it a nice code?: No

Generator Matrix-1895

a 0 a a 0 a
0 a a a 0 0
b 0 b b 0 b
0 b b b 0 0
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b b b 0 0
0 b a a c 0
b 0 b b 0 b
b 0 a a c b
b b 0 0 0 b
b b c c c b
0 a a a 0 0
0 a b b c 0
0 c c c 0 0
0 c 0 0 c 0
b a c c 0 b
b a 0 0 c b
b c a a 0 b
b c b b c b
a 0 a a 0 a
a 0 b b c a
a b c c 0 a
a b 0 0 c a
c 0 c c 0 c
c 0 0 0 c c
c b a a 0 c
c b b b c c
a a 0 0 0 a
a a c c c a
a c b b 0 a
a c a a c a
c a b b 0 c
c a a a c c
c c 0 0 0 c
c c c c c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 8x3 + 7x4 + 8x5 + 7x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_b)3 + (X_b)3 (X_c)3 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_b)4 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_b)3 (X_c)3 + (X_0)3 (X_a)3 + (X_a)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)4 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)3 (X_c)3 + (X_0)3 (X_c)3 + (X_c)6

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0

Is it a nice code?: No

Generator Matrix-1896

a 0 a a 0 a
0 a a a 0 0
b 0 b b 0 b
0 b b b 0 0
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b b b 0 0
0 b a a c c
b 0 b b 0 b
b 0 a a c a
b b 0 0 0 b
b b c c c a
0 a a a 0 0
0 a b b c c
0 c c c 0 0
0 c 0 0 c c
b a c c 0 b
b a 0 0 c a
b c a a 0 b
b c b b c a
a 0 a a 0 a
a 0 b b c b
a b c c 0 a
a b 0 0 c b
c 0 c c 0 c
c 0 0 0 c 0
c b a a 0 c
c b b b c 0
a a 0 0 0 a
a a c c c b
a c b b 0 a
a c a a c b
c a b b 0 c
c a a a c 0
c c 0 0 0 c
c c c c c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 7x3 + 6x4 + 13x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)3 (X_b)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)3 (X_b)3 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)3 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0

Is it a nice code?: No

Generator Matrix-1897

a 0 a a 0 a
0 a a a 0 a
b 0 b b 0 b
0 b b b 0 b
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b b b 0 b
0 b a b 0 b
b 0 b b 0 b
b 0 a b 0 b
b b 0 0 0 0
b b c 0 0 0
0 a a a 0 a
0 a b a 0 a
0 c c c 0 c
0 c 0 c 0 c
b a c c 0 c
b a 0 c 0 c
b c a a 0 a
b c b a 0 a
a 0 a a 0 a
a 0 b a 0 a
a b c c 0 c
a b 0 c 0 c
c 0 c c 0 c
c 0 0 c 0 c
c b a a 0 a
c b b a 0 a
a a 0 0 0 0
a a c 0 0 0
a c b b 0 b
a c a b 0 b
c a b b 0 b
c a a b 0 b
c c 0 0 0 0
c c c 0 0 0

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 3x2 + 5x3 + 12x4 + 10x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)2 (X_b)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)2 (X_b)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)4 (X_b)2 + (X_0)3 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)4 (X_a)2 + (X_0)3 (X_a)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0

Is it a nice code?: No

Generator Matrix-1898

a 0 a a 0 a
0 a a a 0 a
b 0 b b 0 b
0 b b b 0 b
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b b b 0 b
0 b a b 0 a
b 0 b b 0 b
b 0 a b 0 a
b b 0 0 0 0
b b c 0 0 c
0 a a a 0 a
0 a b a 0 b
0 c c c 0 c
0 c 0 c 0 0
b a c c 0 c
b a 0 c 0 0
b c a a 0 a
b c b a 0 b
a 0 a a 0 a
a 0 b a 0 b
a b c c 0 c
a b 0 c 0 0
c 0 c c 0 c
c 0 0 c 0 0
c b a a 0 a
c b b a 0 b
a a 0 0 0 0
a a c 0 0 c
a c b b 0 b
a c a b 0 a
c a b b 0 b
c a a b 0 a
c c 0 0 0 0
c c c 0 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 6x2 + 2x3 + 13x4 + 10x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0

Is it a nice code?: No

Generator Matrix-1899

a 0 a a 0 a
0 a a a 0 a
b 0 b b 0 b
0 b b b 0 b
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b b b 0 b
0 b a b c b
b 0 b b 0 b
b 0 a b c b
b b 0 0 0 0
b b c 0 c 0
0 a a a 0 a
0 a b a c a
0 c c c 0 c
0 c 0 c c c
b a c c 0 c
b a 0 c c c
b c a a 0 a
b c b a c a
a 0 a a 0 a
a 0 b a c a
a b c c 0 c
a b 0 c c c
c 0 c c 0 c
c 0 0 c c c
c b a a 0 a
c b b a c a
a a 0 0 0 0
a a c 0 c 0
a c b b 0 b
a c a b c b
c a b b 0 b
c a a b c b
c c 0 0 0 0
c c c 0 c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 0x3 + 11x4 + 12x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0

Is it a nice code?: No

Generator Matrix-1900

a 0 a a 0 a
0 a a a 0 a
b 0 b b 0 b
0 b b b 0 b
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b b b 0 b
0 b a b c a
b 0 b b 0 b
b 0 a b c a
b b 0 0 0 0
b b c 0 c c
0 a a a 0 a
0 a b a c b
0 c c c 0 c
0 c 0 c c 0
b a c c 0 c
b a 0 c c 0
b c a a 0 a
b c b a c b
a 0 a a 0 a
a 0 b a c b
a b c c 0 c
a b 0 c c 0
c 0 c c 0 c
c 0 0 c c 0
c b a a 0 a
c b b a c b
a a 0 0 0 0
a a c 0 c c
a c b b 0 b
a c a b c a
c a b b 0 b
c a a b c a
c c 0 0 0 0
c c c 0 c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 3x3 + 8x4 + 13x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)4 (X_b)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)4 (X_a)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0

Is it a nice code?: No

Generator Matrix-1901

a 0 a a 0 a
0 a a a 0 a
b 0 b b 0 b
0 b b b 0 b
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b b b 0 b
0 b a a 0 b
b 0 b b 0 b
b 0 a a 0 b
b b 0 0 0 0
b b c c 0 0
0 a a a 0 a
0 a b b 0 a
0 c c c 0 c
0 c 0 0 0 c
b a c c 0 c
b a 0 0 0 c
b c a a 0 a
b c b b 0 a
a 0 a a 0 a
a 0 b b 0 a
a b c c 0 c
a b 0 0 0 c
c 0 c c 0 c
c 0 0 0 0 c
c b a a 0 a
c b b b 0 a
a a 0 0 0 0
a a c c 0 0
a c b b 0 b
a c a a 0 b
c a b b 0 b
c a a a 0 b
c c 0 0 0 0
c c c c 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 6x2 + 2x3 + 13x4 + 10x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0

Is it a nice code?: No

Generator Matrix-1902

a 0 a a 0 a
0 a a a 0 a
b 0 b b 0 b
0 b b b 0 b
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b b b 0 b
0 b a a 0 a
b 0 b b 0 b
b 0 a a 0 a
b b 0 0 0 0
b b c c 0 c
0 a a a 0 a
0 a b b 0 b
0 c c c 0 c
0 c 0 0 0 0
b a c c 0 c
b a 0 0 0 0
b c a a 0 a
b c b b 0 b
a 0 a a 0 a
a 0 b b 0 b
a b c c 0 c
a b 0 0 0 0
c 0 c c 0 c
c 0 0 0 0 0
c b a a 0 a
c b b b 0 b
a a 0 0 0 0
a a c c 0 c
a c b b 0 b
a c a a 0 a
c a b b 0 b
c a a a 0 a
c c 0 0 0 0
c c c c 0 c

dmin: 1
Weight Enumerator: 1x0 + 2x1 + 5x2 + 1x3 + 10x4 + 13x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)2 (X_b)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)2 (X_b)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)4 (X_b)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_a)1 (X_b)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_b)4 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_a)1 (X_b)1 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_b)4 (X_c)1 + (X_0)4 (X_a)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)4 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)4 (X_c)1 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0

Is it a nice code?: No

Generator Matrix-1903

a 0 a a 0 a
0 a a a 0 a
b 0 b b 0 b
0 b b b 0 b
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b b b 0 b
0 b a a c b
b 0 b b 0 b
b 0 a a c b
b b 0 0 0 0
b b c c c 0
0 a a a 0 a
0 a b b c a
0 c c c 0 c
0 c 0 0 c c
b a c c 0 c
b a 0 0 c c
b c a a 0 a
b c b b c a
a 0 a a 0 a
a 0 b b c a
a b c c 0 c
a b 0 0 c c
c 0 c c 0 c
c 0 0 0 c c
c b a a 0 a
c b b b c a
a a 0 0 0 0
a a c c c 0
a c b b 0 b
a c a a c b
c a b b 0 b
c a a a c b
c c 0 0 0 0
c c c c c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 3x3 + 8x4 + 13x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)4 (X_b)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)4 (X_a)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0

Is it a nice code?: No

Generator Matrix-1904

a 0 a a 0 a
0 a a a 0 a
b 0 b b 0 b
0 b b b 0 b
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b b b 0 b
0 b a a c a
b 0 b b 0 b
b 0 a a c a
b b 0 0 0 0
b b c c c c
0 a a a 0 a
0 a b b c b
0 c c c 0 c
0 c 0 0 c 0
b a c c 0 c
b a 0 0 c 0
b c a a 0 a
b c b b c b
a 0 a a 0 a
a 0 b b c b
a b c c 0 c
a b 0 0 c 0
c 0 c c 0 c
c 0 0 0 c 0
c b a a 0 a
c b b b c b
a a 0 0 0 0
a a c c c c
a c b b 0 b
a c a a c a
c a b b 0 b
c a a a c a
c c 0 0 0 0
c c c c c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 5x2 + 2x3 + 7x4 + 10x5 + 7x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)2 (X_b)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)4 (X_b)2 + (X_b)2 (X_c)4 + (X_0)2 (X_a)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_b)4 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_b)4 (X_c)2 + (X_0)4 (X_a)2 + (X_a)2 (X_c)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)4 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)4 (X_c)2 + (X_0)4 (X_c)2 + (X_c)6

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0

Is it a nice code?: No

Generator Matrix-1905

a 0 a a 0 a
0 a a a a 0
b 0 b b 0 b
0 b b b b 0
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b b b b 0
0 b a b b 0
b 0 b b 0 b
b 0 a b 0 b
b b 0 0 b b
b b c 0 b b
0 a a a a 0
0 a b a a 0
0 c c c c 0
0 c 0 c c 0
b a c c a b
b a 0 c a b
b c a a c b
b c b a c b
a 0 a a 0 a
a 0 b a 0 a
a b c c b a
a b 0 c b a
c 0 c c 0 c
c 0 0 c 0 c
c b a a b c
c b b a b c
a a 0 0 a a
a a c 0 a a
a c b b c a
a c a b c a
c a b b a c
c a a b a c
c c 0 0 c c
c c c 0 c c

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 0x2 + 2x3 + 13x4 + 5x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)2 (X_b)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)2 (X_b)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)2 (X_b)4 + (X_0)1 (X_b)4 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)4 + (X_0)2 (X_a)3 (X_b)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_a)2 (X_b)2 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)4 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1906

a 0 a a 0 a
0 a a a a 0
b 0 b b 0 b
0 b b b b 0
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b b b b 0
0 b a b b c
b 0 b b 0 b
b 0 a b 0 a
b b 0 0 b b
b b c 0 b a
0 a a a a 0
0 a b a a c
0 c c c c 0
0 c 0 c c c
b a c c a b
b a 0 c a a
b c a a c b
b c b a c a
a 0 a a 0 a
a 0 b a 0 b
a b c c b a
a b 0 c b b
c 0 c c 0 c
c 0 0 c 0 0
c b a a b c
c b b a b 0
a a 0 0 a a
a a c 0 a b
a c b b c a
a c a b c b
c a b b a c
c a a b a 0
c c 0 0 c c
c c c 0 c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 2x2 + 0x3 + 13x4 + 8x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1907

a 0 a a 0 a
0 a a a a 0
b 0 b b 0 b
0 b b b b 0
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b b b b 0
0 b a b a 0
b 0 b b 0 b
b 0 a b c b
b b 0 0 b b
b b c 0 a b
0 a a a a 0
0 a b a b 0
0 c c c c 0
0 c 0 c 0 0
b a c c a b
b a 0 c b b
b c a a c b
b c b a 0 b
a 0 a a 0 a
a 0 b a c a
a b c c b a
a b 0 c a a
c 0 c c 0 c
c 0 0 c c c
c b a a b c
c b b a a c
a a 0 0 a a
a a c 0 b a
a c b b c a
a c a b 0 a
c a b b a c
c a a b b c
c c 0 0 c c
c c c 0 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 2x2 + 0x3 + 13x4 + 8x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_a)2 (X_b)2 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1908

a 0 a a 0 a
0 a a a a 0
b 0 b b 0 b
0 b b b b 0
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b b b b 0
0 b a b a c
b 0 b b 0 b
b 0 a b c a
b b 0 0 b b
b b c 0 a a
0 a a a a 0
0 a b a b c
0 c c c c 0
0 c 0 c 0 c
b a c c a b
b a 0 c b a
b c a a c b
b c b a 0 a
a 0 a a 0 a
a 0 b a c b
a b c c b a
a b 0 c a b
c 0 c c 0 c
c 0 0 c c 0
c b a a b c
c b b a a 0
a a 0 0 a a
a a c 0 b b
a c b b c a
a c a b 0 b
c a b b a c
c a a b b 0
c c 0 0 c c
c c c 0 0 0

dmin: 3
Weight Enumerator: 1x0 + 0x1 + 0x2 + 4x3 + 9x4 + 12x5 + 6x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1909

a 0 a a 0 a
0 a a a a 0
b 0 b b 0 b
0 b b b b 0
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b b b b 0
0 b a a b 0
b 0 b b 0 b
b 0 a a 0 b
b b 0 0 b b
b b c c b b
0 a a a a 0
0 a b b a 0
0 c c c c 0
0 c 0 0 c 0
b a c c a b
b a 0 0 a b
b c a a c b
b c b b c b
a 0 a a 0 a
a 0 b b 0 a
a b c c b a
a b 0 0 b a
c 0 c c 0 c
c 0 0 0 0 c
c b a a b c
c b b b b c
a a 0 0 a a
a a c c a a
a c b b c a
a c a a c a
c a b b a c
c a a a a c
c c 0 0 c c
c c c c c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 0x3 + 15x4 + 0x5 + 13x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_b)4 + (X_b)4 (X_c)2 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_a)2 (X_b)2 (X_c)2 + (X_b)4 (X_c)2 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_b)4 (X_c)2 + (X_0)2 (X_a)4 + (X_a)4 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_a)4 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_a)4 (X_c)2 + (X_0)2 (X_c)4 + (X_c)6

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1910

a 0 a a 0 a
0 a a a a 0
b 0 b b 0 b
0 b b b b 0
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b b b b 0
0 b a a b c
b 0 b b 0 b
b 0 a a 0 a
b b 0 0 b b
b b c c b a
0 a a a a 0
0 a b b a c
0 c c c c 0
0 c 0 0 c c
b a c c a b
b a 0 0 a a
b c a a c b
b c b b c a
a 0 a a 0 a
a 0 b b 0 b
a b c c b a
a b 0 0 b b
c 0 c c 0 c
c 0 0 0 0 0
c b a a b c
c b b b b 0
a a 0 0 a a
a a c c a b
a c b b c a
a c a a c b
c a b b a c
c a a a a 0
c c 0 0 c c
c c c c c 0

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 0x2 + 2x3 + 13x4 + 5x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_b)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)2 (X_b)4 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)3 (X_b)1 + (X_a)2 (X_b)2 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)4 + (X_0)2 (X_a)1 (X_b)3 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)3 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_b)4 (X_c)1 + (X_0)2 (X_a)4 + (X_a)3 (X_b)1 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)4 (X_c)1 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1911

a 0 a a 0 a
0 a a a a 0
b 0 b b 0 b
0 b b b b 0
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b b b b 0
0 b a a a 0
b 0 b b 0 b
b 0 a a c b
b b 0 0 b b
b b c c a b
0 a a a a 0
0 a b b b 0
0 c c c c 0
0 c 0 0 0 0
b a c c a b
b a 0 0 b b
b c a a c b
b c b b 0 b
a 0 a a 0 a
a 0 b b c a
a b c c b a
a b 0 0 a a
c 0 c c 0 c
c 0 0 0 c c
c b a a b c
c b b b a c
a a 0 0 a a
a a c c b a
a c b b c a
a c a a 0 a
c a b b a c
c a a a b c
c c 0 0 c c
c c c c 0 c

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 0x2 + 2x3 + 13x4 + 5x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)2 (X_b)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_b)4 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)3 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_b)4 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)3 (X_b)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_a)2 (X_b)2 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)4 + (X_a)3 (X_b)1 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)4 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1912

a 0 a a 0 a
0 a a a a 0
b 0 b b 0 b
0 b b b b 0
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b b b b 0
0 b a a a c
b 0 b b 0 b
b 0 a a c a
b b 0 0 b b
b b c c a a
0 a a a a 0
0 a b b b c
0 c c c c 0
0 c 0 0 0 c
b a c c a b
b a 0 0 b a
b c a a c b
b c b b 0 a
a 0 a a 0 a
a 0 b b c b
a b c c b a
a b 0 0 a b
c 0 c c 0 c
c 0 0 0 c 0
c b a a b c
c b b b a 0
a a 0 0 a a
a a c c b b
a c b b c a
a c a a 0 b
c a b b a c
c a a a b 0
c c 0 0 c c
c c c c 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 2x2 + 0x3 + 13x4 + 8x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)2 (X_b)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_b)4 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_a)2 (X_b)2 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1913

a 0 a a 0 a
0 a a a a a
b 0 b b 0 b
0 b b b b b
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b b b b b
0 b a b b b
b 0 b b 0 b
b 0 a b 0 b
b b 0 0 b 0
b b c 0 b 0
0 a a a a a
0 a b a a a
0 c c c c c
0 c 0 c c c
b a c c a c
b a 0 c a c
b c a a c a
b c b a c a
a 0 a a 0 a
a 0 b a 0 a
a b c c b c
a b 0 c b c
c 0 c c 0 c
c 0 0 c 0 c
c b a a b a
c b b a b a
a a 0 0 a 0
a a c 0 a 0
a c b b c b
a c a b c b
c a b b a b
c a a b a b
c c 0 0 c 0
c c c 0 c 0

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 0x2 + 4x3 + 9x4 + 7x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)1 (X_b)5 + (X_0)1 (X_a)1 (X_b)4 + (X_0)2 (X_b)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)3 (X_b)3 + (X_0)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)4 (X_b)1 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)2 (X_a)3 (X_b)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_a)3 (X_b)2 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)3 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_a)2 (X_b)3 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1914

a 0 a a 0 a
0 a a a a a
b 0 b b 0 b
0 b b b b b
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b b b b b
0 b a b b a
b 0 b b 0 b
b 0 a b 0 a
b b 0 0 b 0
b b c 0 b c
0 a a a a a
0 a b a a b
0 c c c c c
0 c 0 c c 0
b a c c a c
b a 0 c a 0
b c a a c a
b c b a c b
a 0 a a 0 a
a 0 b a 0 b
a b c c b c
a b 0 c b 0
c 0 c c 0 c
c 0 0 c 0 0
c b a a b a
c b b a b b
a a 0 0 a 0
a a c 0 a c
a c b b c b
a c a b c a
c a b b a b
c a a b a a
c c 0 0 c 0
c c c 0 c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 2x2 + 4x3 + 7x4 + 8x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)1 (X_b)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)3 (X_b)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_a)3 (X_b)2 (X_c)1 + (X_a)1 (X_b)4 (X_c)1 + (X_0)3 (X_a)3 + (X_0)1 (X_a)3 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_a)2 (X_b)3 (X_c)1 + (X_a)4 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1915

a 0 a a 0 a
0 a a a a a
b 0 b b 0 b
0 b b b b b
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b b b b b
0 b a b a b
b 0 b b 0 b
b 0 a b c b
b b 0 0 b 0
b b c 0 a 0
0 a a a a a
0 a b a b a
0 c c c c c
0 c 0 c 0 c
b a c c a c
b a 0 c b c
b c a a c a
b c b a 0 a
a 0 a a 0 a
a 0 b a c a
a b c c b c
a b 0 c a c
c 0 c c 0 c
c 0 0 c c c
c b a a b a
c b b a a a
a a 0 0 a 0
a a c 0 b 0
a c b b c b
a c a b 0 b
c a b b a b
c a a b b b
c c 0 0 c 0
c c c 0 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 5x3 + 6x4 + 11x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)1 (X_b)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_a)3 (X_b)2 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1916

a 0 a a 0 a
0 a a a a a
b 0 b b 0 b
0 b b b b b
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b b b b b
0 b a b a a
b 0 b b 0 b
b 0 a b c a
b b 0 0 b 0
b b c 0 a c
0 a a a a a
0 a b a b b
0 c c c c c
0 c 0 c 0 0
b a c c a c
b a 0 c b 0
b c a a c a
b c b a 0 b
a 0 a a 0 a
a 0 b a c b
a b c c b c
a b 0 c a 0
c 0 c c 0 c
c 0 0 c c 0
c b a a b a
c b b a a b
a a 0 0 a 0
a a c 0 b c
a c b b c b
a c a b 0 a
c a b b a b
c a a b b a
c c 0 0 c 0
c c c 0 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 5x3 + 6x4 + 11x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)1 (X_b)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_a)3 (X_b)2 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1917

a 0 a a 0 a
0 a a a a a
b 0 b b 0 b
0 b b b b b
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b b b b b
0 b a a b b
b 0 b b 0 b
b 0 a a 0 b
b b 0 0 b 0
b b c c b 0
0 a a a a a
0 a b b a a
0 c c c c c
0 c 0 0 c c
b a c c a c
b a 0 0 a c
b c a a c a
b c b b c a
a 0 a a 0 a
a 0 b b 0 a
a b c c b c
a b 0 0 b c
c 0 c c 0 c
c 0 0 0 0 c
c b a a b a
c b b b b a
a a 0 0 a 0
a a c c a 0
a c b b c b
a c a a c b
c a b b a b
c a a a a b
c c 0 0 c 0
c c c c c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 2x2 + 4x3 + 7x4 + 8x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)1 (X_b)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)3 (X_b)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_a)3 (X_b)2 (X_c)1 + (X_a)1 (X_b)4 (X_c)1 + (X_0)3 (X_a)3 + (X_0)1 (X_a)3 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_a)2 (X_b)3 (X_c)1 + (X_a)4 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1918

a 0 a a 0 a
0 a a a a a
b 0 b b 0 b
0 b b b b b
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b b b b b
0 b a a b a
b 0 b b 0 b
b 0 a a 0 a
b b 0 0 b 0
b b c c b c
0 a a a a a
0 a b b a b
0 c c c c c
0 c 0 0 c 0
b a c c a c
b a 0 0 a 0
b c a a c a
b c b b c b
a 0 a a 0 a
a 0 b b 0 b
a b c c b c
a b 0 0 b 0
c 0 c c 0 c
c 0 0 0 0 0
c b a a b a
c b b b b b
a a 0 0 a 0
a a c c a c
a c b b c b
a c a a c a
c a b b a b
c a a a a a
c c 0 0 c 0
c c c c c c

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 1x2 + 6x3 + 5x4 + 5x5 + 13x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)1 (X_b)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)2 (X_b)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)3 (X_b)3 + (X_b)3 (X_c)3 + (X_0)1 (X_a)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_a)2 (X_b)1 + (X_a)3 (X_b)1 (X_c)2 + (X_b)4 (X_c)2 + (X_0)2 (X_a)4 + (X_0)2 (X_a)1 (X_b)3 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_b)5 (X_c)1 + (X_0)3 (X_a)3 + (X_a)3 (X_c)3 + (X_a)1 (X_b)3 (X_c)2 + (X_a)4 (X_c)2 + (X_a)2 (X_b)3 (X_c)1 + (X_a)5 (X_c)1 + (X_0)3 (X_c)3 + (X_c)6

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1919

a 0 a a 0 a
0 a a a a a
b 0 b b 0 b
0 b b b b b
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b b b b b
0 b a a a b
b 0 b b 0 b
b 0 a a c b
b b 0 0 b 0
b b c c a 0
0 a a a a a
0 a b b b a
0 c c c c c
0 c 0 0 0 c
b a c c a c
b a 0 0 b c
b c a a c a
b c b b 0 a
a 0 a a 0 a
a 0 b b c a
a b c c b c
a b 0 0 a c
c 0 c c 0 c
c 0 0 0 c c
c b a a b a
c b b b a a
a a 0 0 a 0
a a c c b 0
a c b b c b
a c a a 0 b
c a b b a b
c a a a b b
c c 0 0 c 0
c c c c 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 5x3 + 6x4 + 11x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)1 (X_b)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_a)3 (X_b)2 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1920

a 0 a a 0 a
0 a a a a a
b 0 b b 0 b
0 b b b b b
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b b b b b
0 b a a a a
b 0 b b 0 b
b 0 a a c a
b b 0 0 b 0
b b c c a c
0 a a a a a
0 a b b b b
0 c c c c c
0 c 0 0 0 0
b a c c a c
b a 0 0 b 0
b c a a c a
b c b b 0 b
a 0 a a 0 a
a 0 b b c b
a b c c b c
a b 0 0 a 0
c 0 c c 0 c
c 0 0 0 c 0
c b a a b a
c b b b a b
a a 0 0 a 0
a a c c b c
a c b b c b
a c a a 0 a
c a b b a b
c a a a b a
c c 0 0 c 0
c c c c 0 c

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 1x2 + 5x3 + 4x4 + 10x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)1 (X_b)5 + (X_0)1 (X_a)4 (X_b)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)3 (X_b)3 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)5 + (X_0)1 (X_a)1 (X_b)4 + (X_0)1 (X_c)5 + (X_0)5 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_a)1 (X_b)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_b)4 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_a)3 (X_b)2 (X_c)1 + (X_a)1 (X_b)4 (X_c)1 + (X_0)3 (X_a)3 + (X_a)2 (X_b)1 (X_c)3 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)4 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)4 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1921

a 0 a a a 0
0 a a 0 0 0
b 0 b b b 0
0 b b 0 0 0
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b b 0 0 0
0 b a 0 0 0
b 0 b b b 0
b 0 a b b 0
b b 0 b b 0
b b c b b 0
0 a a 0 0 0
0 a b 0 0 0
0 c c 0 0 0
0 c 0 0 0 0
b a c b b 0
b a 0 b b 0
b c a b b 0
b c b b b 0
a 0 a a a 0
a 0 b a a 0
a b c a a 0
a b 0 a a 0
c 0 c c c 0
c 0 0 c c 0
c b a c c 0
c b b c c 0
a a 0 a a 0
a a c a a 0
a c b a a 0
a c a a a 0
c a b c c 0
c a a c c 0
c c 0 c c 0
c c c c c 0

dmin: 1
Weight Enumerator: 1x0 + 2x1 + 5x2 + 1x3 + 10x4 + 13x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)4 (X_b)2 + (X_0)4 (X_a)1 (X_b)1 + (X_0)2 (X_b)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)2 (X_b)4 + (X_0)1 (X_b)4 (X_c)1 + (X_0)4 (X_a)2 + (X_0)4 (X_a)1 (X_b)1 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_b)4 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)3 (X_b)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)4 + (X_0)1 (X_a)4 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)4 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)2 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c

Is it a nice code?: No

Generator Matrix-1922

a 0 a a a 0
0 a a 0 0 0
b 0 b b b 0
0 b b 0 0 0
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b b 0 0 0
0 b a 0 0 c
b 0 b b b 0
b 0 a b b c
b b 0 b b 0
b b c b b c
0 a a 0 0 0
0 a b 0 0 c
0 c c 0 0 0
0 c 0 0 0 c
b a c b b 0
b a 0 b b c
b c a b b 0
b c b b b c
a 0 a a a 0
a 0 b a a c
a b c a a 0
a b 0 a a c
c 0 c c c 0
c 0 0 c c c
c b a c c 0
c b b c c c
a a 0 a a 0
a a c a a c
a c b a a 0
a c a a a c
c a b c c 0
c a a c c c
c c 0 c c 0
c c c c c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 5x2 + 2x3 + 7x4 + 10x5 + 7x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_b)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_b)4 + (X_b)4 (X_c)2 + (X_0)4 (X_a)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_b)4 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_b)2 (X_c)4 + (X_0)2 (X_a)4 + (X_a)4 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)4 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_a)2 (X_c)4 + (X_0)2 (X_c)4 + (X_c)6

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c

Is it a nice code?: No

Generator Matrix-1923

a 0 a a a 0
0 a a 0 0 0
b 0 b b b 0
0 b b 0 0 0
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b b 0 0 0
0 b a 0 c 0
b 0 b b b 0
b 0 a b a 0
b b 0 b b 0
b b c b a 0
0 a a 0 0 0
0 a b 0 c 0
0 c c 0 0 0
0 c 0 0 c 0
b a c b b 0
b a 0 b a 0
b c a b b 0
b c b b a 0
a 0 a a a 0
a 0 b a b 0
a b c a a 0
a b 0 a b 0
c 0 c c c 0
c 0 0 c 0 0
c b a c c 0
c b b c 0 0
a a 0 a a 0
a a c a b 0
a c b a a 0
a c a a b 0
c a b c c 0
c a a c 0 0
c c 0 c c 0
c c c c 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 6x2 + 2x3 + 13x4 + 10x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_b)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)4 (X_a)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c

Is it a nice code?: No

Generator Matrix-1924

a 0 a a a 0
0 a a 0 0 0
b 0 b b b 0
0 b b 0 0 0
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b b 0 0 0
0 b a 0 c c
b 0 b b b 0
b 0 a b a c
b b 0 b b 0
b b c b a c
0 a a 0 0 0
0 a b 0 c c
0 c c 0 0 0
0 c 0 0 c c
b a c b b 0
b a 0 b a c
b c a b b 0
b c b b a c
a 0 a a a 0
a 0 b a b c
a b c a a 0
a b 0 a b c
c 0 c c c 0
c 0 0 c 0 c
c b a c c 0
c b b c 0 c
a a 0 a a 0
a a c a b c
a c b a a 0
a c a a b c
c a b c c 0
c a a c 0 c
c c 0 c c 0
c c c c 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 3x3 + 8x4 + 13x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_b)4 + (X_a)1 (X_b)3 (X_c)2 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)4 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)2 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c

Is it a nice code?: No

Generator Matrix-1925

a 0 a a a 0
0 a a 0 0 0
b 0 b b b 0
0 b b 0 0 0
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b b 0 0 0
0 b a c 0 0
b 0 b b b 0
b 0 a a b 0
b b 0 b b 0
b b c a b 0
0 a a 0 0 0
0 a b c 0 0
0 c c 0 0 0
0 c 0 c 0 0
b a c b b 0
b a 0 a b 0
b c a b b 0
b c b a b 0
a 0 a a a 0
a 0 b b a 0
a b c a a 0
a b 0 b a 0
c 0 c c c 0
c 0 0 0 c 0
c b a c c 0
c b b 0 c 0
a a 0 a a 0
a a c b a 0
a c b a a 0
a c a b a 0
c a b c c 0
c a a 0 c 0
c c 0 c c 0
c c c 0 c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 6x2 + 2x3 + 13x4 + 10x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_b)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)4 (X_a)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c

Is it a nice code?: No

Generator Matrix-1926

a 0 a a a 0
0 a a 0 0 0
b 0 b b b 0
0 b b 0 0 0
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b b 0 0 0
0 b a c 0 c
b 0 b b b 0
b 0 a a b c
b b 0 b b 0
b b c a b c
0 a a 0 0 0
0 a b c 0 c
0 c c 0 0 0
0 c 0 c 0 c
b a c b b 0
b a 0 a b c
b c a b b 0
b c b a b c
a 0 a a a 0
a 0 b b a c
a b c a a 0
a b 0 b a c
c 0 c c c 0
c 0 0 0 c c
c b a c c 0
c b b 0 c c
a a 0 a a 0
a a c b a c
a c b a a 0
a c a b a c
c a b c c 0
c a a 0 c c
c c 0 c c 0
c c c 0 c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 3x3 + 8x4 + 13x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_b)4 + (X_a)1 (X_b)3 (X_c)2 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)4 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)2 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c

Is it a nice code?: No

Generator Matrix-1927

a 0 a a a 0
0 a a 0 0 0
b 0 b b b 0
0 b b 0 0 0
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b b 0 0 0
0 b a c c 0
b 0 b b b 0
b 0 a a a 0
b b 0 b b 0
b b c a a 0
0 a a 0 0 0
0 a b c c 0
0 c c 0 0 0
0 c 0 c c 0
b a c b b 0
b a 0 a a 0
b c a b b 0
b c b a a 0
a 0 a a a 0
a 0 b b b 0
a b c a a 0
a b 0 b b 0
c 0 c c c 0
c 0 0 0 0 0
c b a c c 0
c b b 0 0 0
a a 0 a a 0
a a c b b 0
a c b a a 0
a c a b b 0
c a b c c 0
c a a 0 0 0
c c 0 c c 0
c c c 0 0 0

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 3x2 + 5x3 + 12x4 + 10x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_b)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)3 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_a)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c

Is it a nice code?: No

Generator Matrix-1928

a 0 a a a 0
0 a a 0 0 0
b 0 b b b 0
0 b b 0 0 0
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b b 0 0 0
0 b a c c c
b 0 b b b 0
b 0 a a a c
b b 0 b b 0
b b c a a c
0 a a 0 0 0
0 a b c c c
0 c c 0 0 0
0 c 0 c c c
b a c b b 0
b a 0 a a c
b c a b b 0
b c b a a c
a 0 a a a 0
a 0 b b b c
a b c a a 0
a b 0 b b c
c 0 c c c 0
c 0 0 0 0 c
c b a c c 0
c b b 0 0 c
a a 0 a a 0
a a c b b c
a c b a a 0
a c a b b c
c a b c c 0
c a a 0 0 c
c c 0 c c 0
c c c 0 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 0x3 + 11x4 + 12x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)4 (X_b)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_b)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_b)4 + (X_a)2 (X_b)2 (X_c)2 + (X_0)4 (X_a)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c

Is it a nice code?: No

Generator Matrix-1929

a 0 a a a 0
0 a a 0 0 a
b 0 b b b 0
0 b b 0 0 b
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b b 0 0 b
0 b a 0 0 b
b 0 b b b 0
b 0 a b b 0
b b 0 b b b
b b c b b b
0 a a 0 0 a
0 a b 0 0 a
0 c c 0 0 c
0 c 0 0 0 c
b a c b b a
b a 0 b b a
b c a b b c
b c b b b c
a 0 a a a 0
a 0 b a a 0
a b c a a b
a b 0 a a b
c 0 c c c 0
c 0 0 c c 0
c b a c c b
c b b c c b
a a 0 a a a
a a c a a a
a c b a a c
a c a a a c
c a b c c a
c a a c c a
c c 0 c c c
c c c c c c

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 1x2 + 6x3 + 5x4 + 5x5 + 13x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)3 (X_b)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)2 (X_b)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_b)5 + (X_b)5 (X_c)1 + (X_0)3 (X_a)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_a)1 (X_b)3 (X_c)2 + (X_b)4 (X_c)2 + (X_0)2 (X_a)4 + (X_0)2 (X_a)3 (X_b)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_a)1 (X_b)2 (X_c)3 + (X_b)3 (X_c)3 + (X_0)1 (X_a)5 + (X_a)5 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_a)4 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_a)3 (X_c)3 + (X_0)1 (X_c)5 + (X_c)6

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1930

a 0 a a a 0
0 a a 0 0 a
b 0 b b b 0
0 b b 0 0 b
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b b 0 0 b
0 b a 0 0 a
b 0 b b b 0
b 0 a b b c
b b 0 b b b
b b c b b a
0 a a 0 0 a
0 a b 0 0 b
0 c c 0 0 c
0 c 0 0 0 0
b a c b b a
b a 0 b b b
b c a b b c
b c b b b 0
a 0 a a a 0
a 0 b a a c
a b c a a b
a b 0 a a a
c 0 c c c 0
c 0 0 c c c
c b a c c b
c b b c c a
a a 0 a a a
a a c a a b
a c b a a c
a c a a a 0
c a b c c a
c a a c c b
c c 0 c c c
c c c c c 0

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 1x2 + 5x3 + 4x4 + 10x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_b)5 + (X_a)1 (X_b)4 (X_c)1 + (X_0)3 (X_a)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)4 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_b)4 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)4 (X_b)1 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_a)1 (X_b)2 (X_c)3 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)5 + (X_a)4 (X_b)1 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)4 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1931

a 0 a a a 0
0 a a 0 0 a
b 0 b b b 0
0 b b 0 0 b
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b b 0 0 b
0 b a 0 c b
b 0 b b b 0
b 0 a b a 0
b b 0 b b b
b b c b a b
0 a a 0 0 a
0 a b 0 c a
0 c c 0 0 c
0 c 0 0 c c
b a c b b a
b a 0 b a a
b c a b b c
b c b b a c
a 0 a a a 0
a 0 b a b 0
a b c a a b
a b 0 a b b
c 0 c c c 0
c 0 0 c 0 0
c b a c c b
c b b c 0 b
a a 0 a a a
a a c a b a
a c b a a c
a c a a b c
c a b c c a
c a a c 0 a
c c 0 c c c
c c c c 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 2x2 + 4x3 + 7x4 + 8x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_b)5 + (X_a)1 (X_b)4 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_a)1 (X_b)3 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)5 + (X_a)4 (X_b)1 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1932

a 0 a a a 0
0 a a 0 0 a
b 0 b b b 0
0 b b 0 0 b
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b b 0 0 b
0 b a 0 c a
b 0 b b b 0
b 0 a b a c
b b 0 b b b
b b c b a a
0 a a 0 0 a
0 a b 0 c b
0 c c 0 0 c
0 c 0 0 c 0
b a c b b a
b a 0 b a b
b c a b b c
b c b b a 0
a 0 a a a 0
a 0 b a b c
a b c a a b
a b 0 a b a
c 0 c c c 0
c 0 0 c 0 c
c b a c c b
c b b c 0 a
a a 0 a a a
a a c a b b
a c b a a c
a c a a b 0
c a b c c a
c a a c 0 b
c c 0 c c c
c c c c 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 5x3 + 6x4 + 11x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_b)5 + (X_a)2 (X_b)3 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)5 + (X_a)3 (X_b)2 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1933

a 0 a a a 0
0 a a 0 0 a
b 0 b b b 0
0 b b 0 0 b
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b b 0 0 b
0 b a c 0 b
b 0 b b b 0
b 0 a a b 0
b b 0 b b b
b b c a b b
0 a a 0 0 a
0 a b c 0 a
0 c c 0 0 c
0 c 0 c 0 c
b a c b b a
b a 0 a b a
b c a b b c
b c b a b c
a 0 a a a 0
a 0 b b a 0
a b c a a b
a b 0 b a b
c 0 c c c 0
c 0 0 0 c 0
c b a c c b
c b b 0 c b
a a 0 a a a
a a c b a a
a c b a a c
a c a b a c
c a b c c a
c a a 0 c a
c c 0 c c c
c c c 0 c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 2x2 + 4x3 + 7x4 + 8x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_b)5 + (X_a)1 (X_b)4 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_a)1 (X_b)3 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)5 + (X_a)4 (X_b)1 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1934

a 0 a a a 0
0 a a 0 0 a
b 0 b b b 0
0 b b 0 0 b
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b b 0 0 b
0 b a c 0 a
b 0 b b b 0
b 0 a a b c
b b 0 b b b
b b c a b a
0 a a 0 0 a
0 a b c 0 b
0 c c 0 0 c
0 c 0 c 0 0
b a c b b a
b a 0 a b b
b c a b b c
b c b a b 0
a 0 a a a 0
a 0 b b a c
a b c a a b
a b 0 b a a
c 0 c c c 0
c 0 0 0 c c
c b a c c b
c b b 0 c a
a a 0 a a a
a a c b a b
a c b a a c
a c a b a 0
c a b c c a
c a a 0 c b
c c 0 c c c
c c c 0 c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 5x3 + 6x4 + 11x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_b)5 + (X_a)2 (X_b)3 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)5 + (X_a)3 (X_b)2 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1935

a 0 a a a 0
0 a a 0 0 a
b 0 b b b 0
0 b b 0 0 b
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b b 0 0 b
0 b a c c b
b 0 b b b 0
b 0 a a a 0
b b 0 b b b
b b c a a b
0 a a 0 0 a
0 a b c c a
0 c c 0 0 c
0 c 0 c c c
b a c b b a
b a 0 a a a
b c a b b c
b c b a a c
a 0 a a a 0
a 0 b b b 0
a b c a a b
a b 0 b b b
c 0 c c c 0
c 0 0 0 0 0
c b a c c b
c b b 0 0 b
a a 0 a a a
a a c b b a
a c b a a c
a c a b b c
c a b c c a
c a a 0 0 a
c c 0 c c c
c c c 0 0 c

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 0x2 + 4x3 + 9x4 + 7x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_b)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_b)5 + (X_a)2 (X_b)3 (X_c)1 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)4 (X_b)1 + (X_a)1 (X_b)3 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)2 (X_a)1 (X_b)3 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)4 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)5 + (X_a)3 (X_b)2 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)3 (X_c)1 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1936

a 0 a a a 0
0 a a 0 0 a
b 0 b b b 0
0 b b 0 0 b
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b b 0 0 b
0 b a c c a
b 0 b b b 0
b 0 a a a c
b b 0 b b b
b b c a a a
0 a a 0 0 a
0 a b c c b
0 c c 0 0 c
0 c 0 c c 0
b a c b b a
b a 0 a a b
b c a b b c
b c b a a 0
a 0 a a a 0
a 0 b b b c
a b c a a b
a b 0 b b a
c 0 c c c 0
c 0 0 0 0 c
c b a c c b
c b b 0 0 a
a a 0 a a a
a a c b b b
a c b a a c
a c a b b 0
c a b c c a
c a a 0 0 b
c c 0 c c c
c c c 0 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 5x3 + 6x4 + 11x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)3 (X_b)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_b)5 + (X_a)3 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)5 + (X_a)2 (X_b)3 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1937

a 0 a a a 0
0 a a 0 a 0
b 0 b b b 0
0 b b 0 b 0
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b b 0 b 0
0 b a 0 b 0
b 0 b b b 0
b 0 a b b 0
b b 0 b 0 0
b b c b 0 0
0 a a 0 a 0
0 a b 0 a 0
0 c c 0 c 0
0 c 0 0 c 0
b a c b c 0
b a 0 b c 0
b c a b a 0
b c b b a 0
a 0 a a a 0
a 0 b a a 0
a b c a c 0
a b 0 a c 0
c 0 c c c 0
c 0 0 c c 0
c b a c a 0
c b b c a 0
a a 0 a 0 0
a a c a 0 0
a c b a b 0
a c a a b 0
c a b c b 0
c a a c b 0
c c 0 c 0 0
c c c c 0 0

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 1x2 + 9x3 + 10x4 + 10x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)3 (X_b)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)2 (X_b)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)3 (X_b)3 + (X_0)2 (X_b)3 (X_c)1 + (X_0)3 (X_a)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c

Is it a nice code?: No

Generator Matrix-1938

a 0 a a a 0
0 a a 0 a 0
b 0 b b b 0
0 b b 0 b 0
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b b 0 b 0
0 b a 0 b c
b 0 b b b 0
b 0 a b b c
b b 0 b 0 0
b b c b 0 c
0 a a 0 a 0
0 a b 0 a c
0 c c 0 c 0
0 c 0 0 c c
b a c b c 0
b a 0 b c c
b c a b a 0
b c b b a c
a 0 a a a 0
a 0 b a a c
a b c a c 0
a b 0 a c c
c 0 c c c 0
c 0 0 c c c
c b a c a 0
c b b c a c
a a 0 a 0 0
a a c a 0 c
a c b a b 0
a c a a b c
c a b c b 0
c a a c b c
c c 0 c 0 0
c c c c 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 7x3 + 6x4 + 13x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)3 (X_b)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c

Is it a nice code?: No

Generator Matrix-1939

a 0 a a a 0
0 a a 0 a 0
b 0 b b b 0
0 b b 0 b 0
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b b 0 b 0
0 b a 0 a 0
b 0 b b b 0
b 0 a b a 0
b b 0 b 0 0
b b c b c 0
0 a a 0 a 0
0 a b 0 b 0
0 c c 0 c 0
0 c 0 0 0 0
b a c b c 0
b a 0 b 0 0
b c a b a 0
b c b b b 0
a 0 a a a 0
a 0 b a b 0
a b c a c 0
a b 0 a 0 0
c 0 c c c 0
c 0 0 c 0 0
c b a c a 0
c b b c b 0
a a 0 a 0 0
a a c a c 0
a c b a b 0
a c a a a 0
c a b c b 0
c a a c a 0
c c 0 c 0 0
c c c c c 0

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 2x2 + 10x3 + 5x4 + 13x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)3 (X_b)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)1 (X_b)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_b)4 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)2 (X_b)1 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)4 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)3 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c

Is it a nice code?: No

Generator Matrix-1940

a 0 a a a 0
0 a a 0 a 0
b 0 b b b 0
0 b b 0 b 0
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b b 0 b 0
0 b a 0 a c
b 0 b b b 0
b 0 a b a c
b b 0 b 0 0
b b c b c c
0 a a 0 a 0
0 a b 0 b c
0 c c 0 c 0
0 c 0 0 0 c
b a c b c 0
b a 0 b 0 c
b c a b a 0
b c b b b c
a 0 a a a 0
a 0 b a b c
a b c a c 0
a b 0 a 0 c
c 0 c c c 0
c 0 0 c 0 c
c b a c a 0
c b b c b c
a a 0 a 0 0
a a c a c c
a c b a b 0
a c a a a c
c a b c b 0
c a a c a c
c c 0 c 0 0
c c c c c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 8x3 + 7x4 + 8x5 + 7x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_b)3 + (X_b)3 (X_c)3 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_b)4 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_b)3 (X_c)3 + (X_0)3 (X_a)3 + (X_a)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)4 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)3 (X_c)3 + (X_0)3 (X_c)3 + (X_c)6

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c

Is it a nice code?: No

Generator Matrix-1941

a 0 a a a 0
0 a a 0 a 0
b 0 b b b 0
0 b b 0 b 0
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b b 0 b 0
0 b a c b 0
b 0 b b b 0
b 0 a a b 0
b b 0 b 0 0
b b c a 0 0
0 a a 0 a 0
0 a b c a 0
0 c c 0 c 0
0 c 0 c c 0
b a c b c 0
b a 0 a c 0
b c a b a 0
b c b a a 0
a 0 a a a 0
a 0 b b a 0
a b c a c 0
a b 0 b c 0
c 0 c c c 0
c 0 0 0 c 0
c b a c a 0
c b b 0 a 0
a a 0 a 0 0
a a c b 0 0
a c b a b 0
a c a b b 0
c a b c b 0
c a a 0 b 0
c c 0 c 0 0
c c c 0 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 2x2 + 8x3 + 13x4 + 8x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c

Is it a nice code?: No

Generator Matrix-1942

a 0 a a a 0
0 a a 0 a 0
b 0 b b b 0
0 b b 0 b 0
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b b 0 b 0
0 b a c b c
b 0 b b b 0
b 0 a a b c
b b 0 b 0 0
b b c a 0 c
0 a a 0 a 0
0 a b c a c
0 c c 0 c 0
0 c 0 c c c
b a c b c 0
b a 0 a c c
b c a b a 0
b c b a a c
a 0 a a a 0
a 0 b b a c
a b c a c 0
a b 0 b c c
c 0 c c c 0
c 0 0 0 c c
c b a c a 0
c b b 0 a c
a a 0 a 0 0
a a c b 0 c
a c b a b 0
a c a b b c
c a b c b 0
c a a 0 b c
c c 0 c 0 0
c c c 0 0 c

dmin: 3
Weight Enumerator: 1x0 + 0x1 + 0x2 + 8x3 + 5x4 + 16x5 + 2x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c

Is it a nice code?: No

Generator Matrix-1943

a 0 a a a 0
0 a a 0 a 0
b 0 b b b 0
0 b b 0 b 0
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b b 0 b 0
0 b a c a 0
b 0 b b b 0
b 0 a a a 0
b b 0 b 0 0
b b c a c 0
0 a a 0 a 0
0 a b c b 0
0 c c 0 c 0
0 c 0 c 0 0
b a c b c 0
b a 0 a 0 0
b c a b a 0
b c b a b 0
a 0 a a a 0
a 0 b b b 0
a b c a c 0
a b 0 b 0 0
c 0 c c c 0
c 0 0 0 0 0
c b a c a 0
c b b 0 b 0
a a 0 a 0 0
a a c b c 0
a c b a b 0
a c a b a 0
c a b c b 0
c a a 0 a 0
c c 0 c 0 0
c c c 0 c 0

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 1x2 + 9x3 + 10x4 + 10x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_b)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)2 (X_b)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)1 (X_b)2 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_b)3 (X_c)1 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)3 (X_c)1 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c

Is it a nice code?: No

Generator Matrix-1944

a 0 a a a 0
0 a a 0 a 0
b 0 b b b 0
0 b b 0 b 0
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b b 0 b 0
0 b a c a c
b 0 b b b 0
b 0 a a a c
b b 0 b 0 0
b b c a c c
0 a a 0 a 0
0 a b c b c
0 c c 0 c 0
0 c 0 c 0 c
b a c b c 0
b a 0 a 0 c
b c a b a 0
b c b a b c
a 0 a a a 0
a 0 b b b c
a b c a c 0
a b 0 b 0 c
c 0 c c c 0
c 0 0 0 0 c
c b a c a 0
c b b 0 b c
a a 0 a 0 0
a a c b c c
a c b a b 0
a c a b a c
c a b c b 0
c a a 0 a c
c c 0 c 0 0
c c c 0 c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 7x3 + 6x4 + 13x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)3 (X_b)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)3 (X_b)3 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)3 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c

Is it a nice code?: No

Generator Matrix-1945

a 0 a a a 0
0 a a 0 a a
b 0 b b b 0
0 b b 0 b b
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b b 0 b b
0 b a 0 b b
b 0 b b b 0
b 0 a b b 0
b b 0 b 0 b
b b c b 0 b
0 a a 0 a a
0 a b 0 a a
0 c c 0 c c
0 c 0 0 c c
b a c b c a
b a 0 b c a
b c a b a c
b c b b a c
a 0 a a a 0
a 0 b a a 0
a b c a c b
a b 0 a c b
c 0 c c c 0
c 0 0 c c 0
c b a c a b
c b b c a b
a a 0 a 0 a
a a c a 0 a
a c b a b c
a c a a b c
c a b c b a
c a a c b a
c c 0 c 0 c
c c c c 0 c

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 0x2 + 2x3 + 13x4 + 5x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)2 (X_b)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)2 (X_b)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)2 (X_b)4 + (X_0)1 (X_b)4 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)4 + (X_0)2 (X_a)3 (X_b)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_a)2 (X_b)2 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)4 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1946

a 0 a a a 0
0 a a 0 a a
b 0 b b b 0
0 b b 0 b b
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b b 0 b b
0 b a 0 b a
b 0 b b b 0
b 0 a b b c
b b 0 b 0 b
b b c b 0 a
0 a a 0 a a
0 a b 0 a b
0 c c 0 c c
0 c 0 0 c 0
b a c b c a
b a 0 b c b
b c a b a c
b c b b a 0
a 0 a a a 0
a 0 b a a c
a b c a c b
a b 0 a c a
c 0 c c c 0
c 0 0 c c c
c b a c a b
c b b c a a
a a 0 a 0 a
a a c a 0 b
a c b a b c
a c a a b 0
c a b c b a
c a a c b b
c c 0 c 0 c
c c c c 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 2x2 + 0x3 + 13x4 + 8x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_a)2 (X_b)2 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1947

a 0 a a a 0
0 a a 0 a a
b 0 b b b 0
0 b b 0 b b
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b b 0 b b
0 b a 0 a b
b 0 b b b 0
b 0 a b a 0
b b 0 b 0 b
b b c b c b
0 a a 0 a a
0 a b 0 b a
0 c c 0 c c
0 c 0 0 0 c
b a c b c a
b a 0 b 0 a
b c a b a c
b c b b b c
a 0 a a a 0
a 0 b a b 0
a b c a c b
a b 0 a 0 b
c 0 c c c 0
c 0 0 c 0 0
c b a c a b
c b b c b b
a a 0 a 0 a
a a c a c a
a c b a b c
a c a a a c
c a b c b a
c a a c a a
c c 0 c 0 c
c c c c c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 0x3 + 15x4 + 0x5 + 13x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_b)4 + (X_b)4 (X_c)2 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_a)2 (X_b)2 (X_c)2 + (X_b)4 (X_c)2 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_b)4 (X_c)2 + (X_0)2 (X_a)4 + (X_a)4 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_a)4 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_a)4 (X_c)2 + (X_0)2 (X_c)4 + (X_c)6

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1948

a 0 a a a 0
0 a a 0 a a
b 0 b b b 0
0 b b 0 b b
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b b 0 b b
0 b a 0 a a
b 0 b b b 0
b 0 a b a c
b b 0 b 0 b
b b c b c a
0 a a 0 a a
0 a b 0 b b
0 c c 0 c c
0 c 0 0 0 0
b a c b c a
b a 0 b 0 b
b c a b a c
b c b b b 0
a 0 a a a 0
a 0 b a b c
a b c a c b
a b 0 a 0 a
c 0 c c c 0
c 0 0 c 0 c
c b a c a b
c b b c b a
a a 0 a 0 a
a a c a c b
a c b a b c
a c a a a 0
c a b c b a
c a a c a b
c c 0 c 0 c
c c c c c 0

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 0x2 + 2x3 + 13x4 + 5x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)2 (X_b)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_b)4 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)3 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_b)4 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)3 (X_b)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_a)2 (X_b)2 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)4 + (X_a)3 (X_b)1 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)4 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1949

a 0 a a a 0
0 a a 0 a a
b 0 b b b 0
0 b b 0 b b
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b b 0 b b
0 b a c b b
b 0 b b b 0
b 0 a a b 0
b b 0 b 0 b
b b c a 0 b
0 a a 0 a a
0 a b c a a
0 c c 0 c c
0 c 0 c c c
b a c b c a
b a 0 a c a
b c a b a c
b c b a a c
a 0 a a a 0
a 0 b b a 0
a b c a c b
a b 0 b c b
c 0 c c c 0
c 0 0 0 c 0
c b a c a b
c b b 0 a b
a a 0 a 0 a
a a c b 0 a
a c b a b c
a c a b b c
c a b c b a
c a a 0 b a
c c 0 c 0 c
c c c 0 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 2x2 + 0x3 + 13x4 + 8x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1950

a 0 a a a 0
0 a a 0 a a
b 0 b b b 0
0 b b 0 b b
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b b 0 b b
0 b a c b a
b 0 b b b 0
b 0 a a b c
b b 0 b 0 b
b b c a 0 a
0 a a 0 a a
0 a b c a b
0 c c 0 c c
0 c 0 c c 0
b a c b c a
b a 0 a c b
b c a b a c
b c b a a 0
a 0 a a a 0
a 0 b b a c
a b c a c b
a b 0 b c a
c 0 c c c 0
c 0 0 0 c c
c b a c a b
c b b 0 a a
a a 0 a 0 a
a a c b 0 b
a c b a b c
a c a b b 0
c a b c b a
c a a 0 b b
c c 0 c 0 c
c c c 0 0 0

dmin: 3
Weight Enumerator: 1x0 + 0x1 + 0x2 + 4x3 + 9x4 + 12x5 + 6x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1951

a 0 a a a 0
0 a a 0 a a
b 0 b b b 0
0 b b 0 b b
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b b 0 b b
0 b a c a b
b 0 b b b 0
b 0 a a a 0
b b 0 b 0 b
b b c a c b
0 a a 0 a a
0 a b c b a
0 c c 0 c c
0 c 0 c 0 c
b a c b c a
b a 0 a 0 a
b c a b a c
b c b a b c
a 0 a a a 0
a 0 b b b 0
a b c a c b
a b 0 b 0 b
c 0 c c c 0
c 0 0 0 0 0
c b a c a b
c b b 0 b b
a a 0 a 0 a
a a c b c a
a c b a b c
a c a b a c
c a b c b a
c a a 0 a a
c c 0 c 0 c
c c c 0 c c

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 0x2 + 2x3 + 13x4 + 5x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_b)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)2 (X_b)4 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)3 (X_b)1 + (X_a)2 (X_b)2 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)4 + (X_0)2 (X_a)1 (X_b)3 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)3 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_b)4 (X_c)1 + (X_0)2 (X_a)4 + (X_a)3 (X_b)1 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)4 (X_c)1 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1952

a 0 a a a 0
0 a a 0 a a
b 0 b b b 0
0 b b 0 b b
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b b 0 b b
0 b a c a a
b 0 b b b 0
b 0 a a a c
b b 0 b 0 b
b b c a c a
0 a a 0 a a
0 a b c b b
0 c c 0 c c
0 c 0 c 0 0
b a c b c a
b a 0 a 0 b
b c a b a c
b c b a b 0
a 0 a a a 0
a 0 b b b c
a b c a c b
a b 0 b 0 a
c 0 c c c 0
c 0 0 0 0 c
c b a c a b
c b b 0 b a
a a 0 a 0 a
a a c b c b
a c b a b c
a c a b a 0
c a b c b a
c a a 0 a b
c c 0 c 0 c
c c c 0 c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 2x2 + 0x3 + 13x4 + 8x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)2 (X_b)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_b)4 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_a)2 (X_b)2 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1953

a 0 a a a 0
0 a a a 0 0
b 0 b b b 0
0 b b b 0 0
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b b b 0 0
0 b a b 0 0
b 0 b b b 0
b 0 a b b 0
b b 0 0 b 0
b b c 0 b 0
0 a a a 0 0
0 a b a 0 0
0 c c c 0 0
0 c 0 c 0 0
b a c c b 0
b a 0 c b 0
b c a a b 0
b c b a b 0
a 0 a a a 0
a 0 b a a 0
a b c c a 0
a b 0 c a 0
c 0 c c c 0
c 0 0 c c 0
c b a a c 0
c b b a c 0
a a 0 0 a 0
a a c 0 a 0
a c b b a 0
a c a b a 0
c a b b c 0
c a a b c 0
c c 0 0 c 0
c c c 0 c 0

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 1x2 + 9x3 + 10x4 + 10x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)3 (X_b)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)2 (X_b)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)3 (X_b)3 + (X_0)2 (X_b)3 (X_c)1 + (X_0)3 (X_a)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c

Is it a nice code?: No

Generator Matrix-1954

a 0 a a a 0
0 a a a 0 0
b 0 b b b 0
0 b b b 0 0
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b b b 0 0
0 b a b 0 c
b 0 b b b 0
b 0 a b b c
b b 0 0 b 0
b b c 0 b c
0 a a a 0 0
0 a b a 0 c
0 c c c 0 0
0 c 0 c 0 c
b a c c b 0
b a 0 c b c
b c a a b 0
b c b a b c
a 0 a a a 0
a 0 b a a c
a b c c a 0
a b 0 c a c
c 0 c c c 0
c 0 0 c c c
c b a a c 0
c b b a c c
a a 0 0 a 0
a a c 0 a c
a c b b a 0
a c a b a c
c a b b c 0
c a a b c c
c c 0 0 c 0
c c c 0 c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 7x3 + 6x4 + 13x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)3 (X_b)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c

Is it a nice code?: No

Generator Matrix-1955

a 0 a a a 0
0 a a a 0 0
b 0 b b b 0
0 b b b 0 0
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b b b 0 0
0 b a b c 0
b 0 b b b 0
b 0 a b a 0
b b 0 0 b 0
b b c 0 a 0
0 a a a 0 0
0 a b a c 0
0 c c c 0 0
0 c 0 c c 0
b a c c b 0
b a 0 c a 0
b c a a b 0
b c b a a 0
a 0 a a a 0
a 0 b a b 0
a b c c a 0
a b 0 c b 0
c 0 c c c 0
c 0 0 c 0 0
c b a a c 0
c b b a 0 0
a a 0 0 a 0
a a c 0 b 0
a c b b a 0
a c a b b 0
c a b b c 0
c a a b 0 0
c c 0 0 c 0
c c c 0 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 2x2 + 8x3 + 13x4 + 8x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c

Is it a nice code?: No

Generator Matrix-1956

a 0 a a a 0
0 a a a 0 0
b 0 b b b 0
0 b b b 0 0
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b b b 0 0
0 b a b c c
b 0 b b b 0
b 0 a b a c
b b 0 0 b 0
b b c 0 a c
0 a a a 0 0
0 a b a c c
0 c c c 0 0
0 c 0 c c c
b a c c b 0
b a 0 c a c
b c a a b 0
b c b a a c
a 0 a a a 0
a 0 b a b c
a b c c a 0
a b 0 c b c
c 0 c c c 0
c 0 0 c 0 c
c b a a c 0
c b b a 0 c
a a 0 0 a 0
a a c 0 b c
a c b b a 0
a c a b b c
c a b b c 0
c a a b 0 c
c c 0 0 c 0
c c c 0 0 c

dmin: 3
Weight Enumerator: 1x0 + 0x1 + 0x2 + 8x3 + 5x4 + 16x5 + 2x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c

Is it a nice code?: No

Generator Matrix-1957

a 0 a a a 0
0 a a a 0 0
b 0 b b b 0
0 b b b 0 0
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b b b 0 0
0 b a a 0 0
b 0 b b b 0
b 0 a a b 0
b b 0 0 b 0
b b c c b 0
0 a a a 0 0
0 a b b 0 0
0 c c c 0 0
0 c 0 0 0 0
b a c c b 0
b a 0 0 b 0
b c a a b 0
b c b b b 0
a 0 a a a 0
a 0 b b a 0
a b c c a 0
a b 0 0 a 0
c 0 c c c 0
c 0 0 0 c 0
c b a a c 0
c b b b c 0
a a 0 0 a 0
a a c c a 0
a c b b a 0
a c a a a 0
c a b b c 0
c a a a c 0
c c 0 0 c 0
c c c c c 0

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 2x2 + 10x3 + 5x4 + 13x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)3 (X_b)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)1 (X_b)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_b)4 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)2 (X_b)1 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)4 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)3 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c

Is it a nice code?: No

Generator Matrix-1958

a 0 a a a 0
0 a a a 0 0
b 0 b b b 0
0 b b b 0 0
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b b b 0 0
0 b a a 0 c
b 0 b b b 0
b 0 a a b c
b b 0 0 b 0
b b c c b c
0 a a a 0 0
0 a b b 0 c
0 c c c 0 0
0 c 0 0 0 c
b a c c b 0
b a 0 0 b c
b c a a b 0
b c b b b c
a 0 a a a 0
a 0 b b a c
a b c c a 0
a b 0 0 a c
c 0 c c c 0
c 0 0 0 c c
c b a a c 0
c b b b c c
a a 0 0 a 0
a a c c a c
a c b b a 0
a c a a a c
c a b b c 0
c a a a c c
c c 0 0 c 0
c c c c c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 8x3 + 7x4 + 8x5 + 7x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_b)3 + (X_b)3 (X_c)3 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_b)4 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_b)3 (X_c)3 + (X_0)3 (X_a)3 + (X_a)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)4 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)3 (X_c)3 + (X_0)3 (X_c)3 + (X_c)6

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c

Is it a nice code?: No

Generator Matrix-1959

a 0 a a a 0
0 a a a 0 0
b 0 b b b 0
0 b b b 0 0
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b b b 0 0
0 b a a c 0
b 0 b b b 0
b 0 a a a 0
b b 0 0 b 0
b b c c a 0
0 a a a 0 0
0 a b b c 0
0 c c c 0 0
0 c 0 0 c 0
b a c c b 0
b a 0 0 a 0
b c a a b 0
b c b b a 0
a 0 a a a 0
a 0 b b b 0
a b c c a 0
a b 0 0 b 0
c 0 c c c 0
c 0 0 0 0 0
c b a a c 0
c b b b 0 0
a a 0 0 a 0
a a c c b 0
a c b b a 0
a c a a b 0
c a b b c 0
c a a a 0 0
c c 0 0 c 0
c c c c 0 0

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 1x2 + 9x3 + 10x4 + 10x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_b)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)2 (X_b)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)1 (X_b)2 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_b)3 (X_c)1 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)3 (X_c)1 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c

Is it a nice code?: No

Generator Matrix-1960

a 0 a a a 0
0 a a a 0 0
b 0 b b b 0
0 b b b 0 0
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b b b 0 0
0 b a a c c
b 0 b b b 0
b 0 a a a c
b b 0 0 b 0
b b c c a c
0 a a a 0 0
0 a b b c c
0 c c c 0 0
0 c 0 0 c c
b a c c b 0
b a 0 0 a c
b c a a b 0
b c b b a c
a 0 a a a 0
a 0 b b b c
a b c c a 0
a b 0 0 b c
c 0 c c c 0
c 0 0 0 0 c
c b a a c 0
c b b b 0 c
a a 0 0 a 0
a a c c b c
a c b b a 0
a c a a b c
c a b b c 0
c a a a 0 c
c c 0 0 c 0
c c c c 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 7x3 + 6x4 + 13x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)3 (X_b)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)3 (X_b)3 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)3 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c

Is it a nice code?: No

Generator Matrix-1961

a 0 a a a 0
0 a a a 0 a
b 0 b b b 0
0 b b b 0 b
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b b b 0 b
0 b a b 0 b
b 0 b b b 0
b 0 a b b 0
b b 0 0 b b
b b c 0 b b
0 a a a 0 a
0 a b a 0 a
0 c c c 0 c
0 c 0 c 0 c
b a c c b a
b a 0 c b a
b c a a b c
b c b a b c
a 0 a a a 0
a 0 b a a 0
a b c c a b
a b 0 c a b
c 0 c c c 0
c 0 0 c c 0
c b a a c b
c b b a c b
a a 0 0 a a
a a c 0 a a
a c b b a c
a c a b a c
c a b b c a
c a a b c a
c c 0 0 c c
c c c 0 c c

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 0x2 + 2x3 + 13x4 + 5x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)2 (X_b)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)2 (X_b)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)2 (X_b)4 + (X_0)1 (X_b)4 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)4 + (X_0)2 (X_a)3 (X_b)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_a)2 (X_b)2 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)4 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1962

a 0 a a a 0
0 a a a 0 a
b 0 b b b 0
0 b b b 0 b
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b b b 0 b
0 b a b 0 a
b 0 b b b 0
b 0 a b b c
b b 0 0 b b
b b c 0 b a
0 a a a 0 a
0 a b a 0 b
0 c c c 0 c
0 c 0 c 0 0
b a c c b a
b a 0 c b b
b c a a b c
b c b a b 0
a 0 a a a 0
a 0 b a a c
a b c c a b
a b 0 c a a
c 0 c c c 0
c 0 0 c c c
c b a a c b
c b b a c a
a a 0 0 a a
a a c 0 a b
a c b b a c
a c a b a 0
c a b b c a
c a a b c b
c c 0 0 c c
c c c 0 c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 2x2 + 0x3 + 13x4 + 8x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_a)2 (X_b)2 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1963

a 0 a a a 0
0 a a a 0 a
b 0 b b b 0
0 b b b 0 b
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b b b 0 b
0 b a b c b
b 0 b b b 0
b 0 a b a 0
b b 0 0 b b
b b c 0 a b
0 a a a 0 a
0 a b a c a
0 c c c 0 c
0 c 0 c c c
b a c c b a
b a 0 c a a
b c a a b c
b c b a a c
a 0 a a a 0
a 0 b a b 0
a b c c a b
a b 0 c b b
c 0 c c c 0
c 0 0 c 0 0
c b a a c b
c b b a 0 b
a a 0 0 a a
a a c 0 b a
a c b b a c
a c a b b c
c a b b c a
c a a b 0 a
c c 0 0 c c
c c c 0 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 2x2 + 0x3 + 13x4 + 8x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1964

a 0 a a a 0
0 a a a 0 a
b 0 b b b 0
0 b b b 0 b
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b b b 0 b
0 b a b c a
b 0 b b b 0
b 0 a b a c
b b 0 0 b b
b b c 0 a a
0 a a a 0 a
0 a b a c b
0 c c c 0 c
0 c 0 c c 0
b a c c b a
b a 0 c a b
b c a a b c
b c b a a 0
a 0 a a a 0
a 0 b a b c
a b c c a b
a b 0 c b a
c 0 c c c 0
c 0 0 c 0 c
c b a a c b
c b b a 0 a
a a 0 0 a a
a a c 0 b b
a c b b a c
a c a b b 0
c a b b c a
c a a b 0 b
c c 0 0 c c
c c c 0 0 0

dmin: 3
Weight Enumerator: 1x0 + 0x1 + 0x2 + 4x3 + 9x4 + 12x5 + 6x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1965

a 0 a a a 0
0 a a a 0 a
b 0 b b b 0
0 b b b 0 b
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b b b 0 b
0 b a a 0 b
b 0 b b b 0
b 0 a a b 0
b b 0 0 b b
b b c c b b
0 a a a 0 a
0 a b b 0 a
0 c c c 0 c
0 c 0 0 0 c
b a c c b a
b a 0 0 b a
b c a a b c
b c b b b c
a 0 a a a 0
a 0 b b a 0
a b c c a b
a b 0 0 a b
c 0 c c c 0
c 0 0 0 c 0
c b a a c b
c b b b c b
a a 0 0 a a
a a c c a a
a c b b a c
a c a a a c
c a b b c a
c a a a c a
c c 0 0 c c
c c c c c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 0x3 + 15x4 + 0x5 + 13x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_b)4 + (X_b)4 (X_c)2 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_a)2 (X_b)2 (X_c)2 + (X_b)4 (X_c)2 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_b)4 (X_c)2 + (X_0)2 (X_a)4 + (X_a)4 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_a)4 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_a)4 (X_c)2 + (X_0)2 (X_c)4 + (X_c)6

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1966

a 0 a a a 0
0 a a a 0 a
b 0 b b b 0
0 b b b 0 b
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b b b 0 b
0 b a a 0 a
b 0 b b b 0
b 0 a a b c
b b 0 0 b b
b b c c b a
0 a a a 0 a
0 a b b 0 b
0 c c c 0 c
0 c 0 0 0 0
b a c c b a
b a 0 0 b b
b c a a b c
b c b b b 0
a 0 a a a 0
a 0 b b a c
a b c c a b
a b 0 0 a a
c 0 c c c 0
c 0 0 0 c c
c b a a c b
c b b b c a
a a 0 0 a a
a a c c a b
a c b b a c
a c a a a 0
c a b b c a
c a a a c b
c c 0 0 c c
c c c c c 0

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 0x2 + 2x3 + 13x4 + 5x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)2 (X_b)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_b)4 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)3 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_b)4 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)3 (X_b)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_a)2 (X_b)2 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)4 + (X_a)3 (X_b)1 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)4 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1967

a 0 a a a 0
0 a a a 0 a
b 0 b b b 0
0 b b b 0 b
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b b b 0 b
0 b a a c b
b 0 b b b 0
b 0 a a a 0
b b 0 0 b b
b b c c a b
0 a a a 0 a
0 a b b c a
0 c c c 0 c
0 c 0 0 c c
b a c c b a
b a 0 0 a a
b c a a b c
b c b b a c
a 0 a a a 0
a 0 b b b 0
a b c c a b
a b 0 0 b b
c 0 c c c 0
c 0 0 0 0 0
c b a a c b
c b b b 0 b
a a 0 0 a a
a a c c b a
a c b b a c
a c a a b c
c a b b c a
c a a a 0 a
c c 0 0 c c
c c c c 0 c

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 0x2 + 2x3 + 13x4 + 5x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_b)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)2 (X_b)4 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)3 (X_b)1 + (X_a)2 (X_b)2 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)4 + (X_0)2 (X_a)1 (X_b)3 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)3 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_b)4 (X_c)1 + (X_0)2 (X_a)4 + (X_a)3 (X_b)1 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)4 (X_c)1 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1968

a 0 a a a 0
0 a a a 0 a
b 0 b b b 0
0 b b b 0 b
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b b b 0 b
0 b a a c a
b 0 b b b 0
b 0 a a a c
b b 0 0 b b
b b c c a a
0 a a a 0 a
0 a b b c b
0 c c c 0 c
0 c 0 0 c 0
b a c c b a
b a 0 0 a b
b c a a b c
b c b b a 0
a 0 a a a 0
a 0 b b b c
a b c c a b
a b 0 0 b a
c 0 c c c 0
c 0 0 0 0 c
c b a a c b
c b b b 0 a
a a 0 0 a a
a a c c b b
a c b b a c
a c a a b 0
c a b b c a
c a a a 0 b
c c 0 0 c c
c c c c 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 2x2 + 0x3 + 13x4 + 8x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)2 (X_b)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_b)4 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_a)2 (X_b)2 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1969

a 0 a a a 0
0 a a a a 0
b 0 b b b 0
0 b b b b 0
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b b b b 0
0 b a b b 0
b 0 b b b 0
b 0 a b b 0
b b 0 0 0 0
b b c 0 0 0
0 a a a a 0
0 a b a a 0
0 c c c c 0
0 c 0 c c 0
b a c c c 0
b a 0 c c 0
b c a a a 0
b c b a a 0
a 0 a a a 0
a 0 b a a 0
a b c c c 0
a b 0 c c 0
c 0 c c c 0
c 0 0 c c 0
c b a a a 0
c b b a a 0
a a 0 0 0 0
a a c 0 0 0
a c b b b 0
a c a b b 0
c a b b b 0
c a a b b 0
c c 0 0 0 0
c c c 0 0 0

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 3x2 + 5x3 + 12x4 + 10x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)2 (X_b)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)2 (X_b)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)4 (X_b)2 + (X_0)3 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)4 (X_a)2 + (X_0)3 (X_a)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c

Is it a nice code?: No

Generator Matrix-1970

a 0 a a a 0
0 a a a a 0
b 0 b b b 0
0 b b b b 0
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b b b b 0
0 b a b b c
b 0 b b b 0
b 0 a b b c
b b 0 0 0 0
b b c 0 0 c
0 a a a a 0
0 a b a a c
0 c c c c 0
0 c 0 c c c
b a c c c 0
b a 0 c c c
b c a a a 0
b c b a a c
a 0 a a a 0
a 0 b a a c
a b c c c 0
a b 0 c c c
c 0 c c c 0
c 0 0 c c c
c b a a a 0
c b b a a c
a a 0 0 0 0
a a c 0 0 c
a c b b b 0
a c a b b c
c a b b b 0
c a a b b c
c c 0 0 0 0
c c c 0 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 0x3 + 11x4 + 12x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c

Is it a nice code?: No

Generator Matrix-1971

a 0 a a a 0
0 a a a a 0
b 0 b b b 0
0 b b b b 0
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b b b b 0
0 b a b a 0
b 0 b b b 0
b 0 a b a 0
b b 0 0 0 0
b b c 0 c 0
0 a a a a 0
0 a b a b 0
0 c c c c 0
0 c 0 c 0 0
b a c c c 0
b a 0 c 0 0
b c a a a 0
b c b a b 0
a 0 a a a 0
a 0 b a b 0
a b c c c 0
a b 0 c 0 0
c 0 c c c 0
c 0 0 c 0 0
c b a a a 0
c b b a b 0
a a 0 0 0 0
a a c 0 c 0
a c b b b 0
a c a b a 0
c a b b b 0
c a a b a 0
c c 0 0 0 0
c c c 0 c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 6x2 + 2x3 + 13x4 + 10x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c

Is it a nice code?: No

Generator Matrix-1972

a 0 a a a 0
0 a a a a 0
b 0 b b b 0
0 b b b b 0
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b b b b 0
0 b a b a c
b 0 b b b 0
b 0 a b a c
b b 0 0 0 0
b b c 0 c c
0 a a a a 0
0 a b a b c
0 c c c c 0
0 c 0 c 0 c
b a c c c 0
b a 0 c 0 c
b c a a a 0
b c b a b c
a 0 a a a 0
a 0 b a b c
a b c c c 0
a b 0 c 0 c
c 0 c c c 0
c 0 0 c 0 c
c b a a a 0
c b b a b c
a a 0 0 0 0
a a c 0 c c
a c b b b 0
a c a b a c
c a b b b 0
c a a b a c
c c 0 0 0 0
c c c 0 c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 3x3 + 8x4 + 13x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)4 (X_b)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)4 (X_a)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c

Is it a nice code?: No

Generator Matrix-1973

a 0 a a a 0
0 a a a a 0
b 0 b b b 0
0 b b b b 0
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b b b b 0
0 b a a b 0
b 0 b b b 0
b 0 a a b 0
b b 0 0 0 0
b b c c 0 0
0 a a a a 0
0 a b b a 0
0 c c c c 0
0 c 0 0 c 0
b a c c c 0
b a 0 0 c 0
b c a a a 0
b c b b a 0
a 0 a a a 0
a 0 b b a 0
a b c c c 0
a b 0 0 c 0
c 0 c c c 0
c 0 0 0 c 0
c b a a a 0
c b b b a 0
a a 0 0 0 0
a a c c 0 0
a c b b b 0
a c a a b 0
c a b b b 0
c a a a b 0
c c 0 0 0 0
c c c c 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 6x2 + 2x3 + 13x4 + 10x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c

Is it a nice code?: No

Generator Matrix-1974

a 0 a a a 0
0 a a a a 0
b 0 b b b 0
0 b b b b 0
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b b b b 0
0 b a a b c
b 0 b b b 0
b 0 a a b c
b b 0 0 0 0
b b c c 0 c
0 a a a a 0
0 a b b a c
0 c c c c 0
0 c 0 0 c c
b a c c c 0
b a 0 0 c c
b c a a a 0
b c b b a c
a 0 a a a 0
a 0 b b a c
a b c c c 0
a b 0 0 c c
c 0 c c c 0
c 0 0 0 c c
c b a a a 0
c b b b a c
a a 0 0 0 0
a a c c 0 c
a c b b b 0
a c a a b c
c a b b b 0
c a a a b c
c c 0 0 0 0
c c c c 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 3x3 + 8x4 + 13x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)4 (X_b)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)4 (X_a)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c

Is it a nice code?: No

Generator Matrix-1975

a 0 a a a 0
0 a a a a 0
b 0 b b b 0
0 b b b b 0
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b b b b 0
0 b a a a 0
b 0 b b b 0
b 0 a a a 0
b b 0 0 0 0
b b c c c 0
0 a a a a 0
0 a b b b 0
0 c c c c 0
0 c 0 0 0 0
b a c c c 0
b a 0 0 0 0
b c a a a 0
b c b b b 0
a 0 a a a 0
a 0 b b b 0
a b c c c 0
a b 0 0 0 0
c 0 c c c 0
c 0 0 0 0 0
c b a a a 0
c b b b b 0
a a 0 0 0 0
a a c c c 0
a c b b b 0
a c a a a 0
c a b b b 0
c a a a a 0
c c 0 0 0 0
c c c c c 0

dmin: 1
Weight Enumerator: 1x0 + 2x1 + 5x2 + 1x3 + 10x4 + 13x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)2 (X_b)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)2 (X_b)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)4 (X_b)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_a)1 (X_b)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_b)4 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_a)1 (X_b)1 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_b)4 (X_c)1 + (X_0)4 (X_a)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)4 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)4 (X_c)1 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c

Is it a nice code?: No

Generator Matrix-1976

a 0 a a a 0
0 a a a a 0
b 0 b b b 0
0 b b b b 0
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b b b b 0
0 b a a a c
b 0 b b b 0
b 0 a a a c
b b 0 0 0 0
b b c c c c
0 a a a a 0
0 a b b b c
0 c c c c 0
0 c 0 0 0 c
b a c c c 0
b a 0 0 0 c
b c a a a 0
b c b b b c
a 0 a a a 0
a 0 b b b c
a b c c c 0
a b 0 0 0 c
c 0 c c c 0
c 0 0 0 0 c
c b a a a 0
c b b b b c
a a 0 0 0 0
a a c c c c
a c b b b 0
a c a a a c
c a b b b 0
c a a a a c
c c 0 0 0 0
c c c c c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 5x2 + 2x3 + 7x4 + 10x5 + 7x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)2 (X_b)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)4 (X_b)2 + (X_b)2 (X_c)4 + (X_0)2 (X_a)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_b)4 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_b)4 (X_c)2 + (X_0)4 (X_a)2 + (X_a)2 (X_c)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)4 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)4 (X_c)2 + (X_0)4 (X_c)2 + (X_c)6

Dual Codewords:

0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c

Is it a nice code?: No

Generator Matrix-1977

a 0 a a a 0
0 a a a a a
b 0 b b b 0
0 b b b b b
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b b b b b
0 b a b b b
b 0 b b b 0
b 0 a b b 0
b b 0 0 0 b
b b c 0 0 b
0 a a a a a
0 a b a a a
0 c c c c c
0 c 0 c c c
b a c c c a
b a 0 c c a
b c a a a c
b c b a a c
a 0 a a a 0
a 0 b a a 0
a b c c c b
a b 0 c c b
c 0 c c c 0
c 0 0 c c 0
c b a a a b
c b b a a b
a a 0 0 0 a
a a c 0 0 a
a c b b b c
a c a b b c
c a b b b a
c a a b b a
c c 0 0 0 c
c c c 0 0 c

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 0x2 + 4x3 + 9x4 + 7x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)1 (X_b)5 + (X_0)1 (X_a)1 (X_b)4 + (X_0)2 (X_b)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)3 (X_b)3 + (X_0)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)4 (X_b)1 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)2 (X_a)3 (X_b)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_a)3 (X_b)2 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)3 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_a)2 (X_b)3 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1978

a 0 a a a 0
0 a a a a a
b 0 b b b 0
0 b b b b b
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b b b b b
0 b a b b a
b 0 b b b 0
b 0 a b b c
b b 0 0 0 b
b b c 0 0 a
0 a a a a a
0 a b a a b
0 c c c c c
0 c 0 c c 0
b a c c c a
b a 0 c c b
b c a a a c
b c b a a 0
a 0 a a a 0
a 0 b a a c
a b c c c b
a b 0 c c a
c 0 c c c 0
c 0 0 c c c
c b a a a b
c b b a a a
a a 0 0 0 a
a a c 0 0 b
a c b b b c
a c a b b 0
c a b b b a
c a a b b b
c c 0 0 0 c
c c c 0 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 5x3 + 6x4 + 11x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)1 (X_b)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_a)3 (X_b)2 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1979

a 0 a a a 0
0 a a a a a
b 0 b b b 0
0 b b b b b
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b b b b b
0 b a b a b
b 0 b b b 0
b 0 a b a 0
b b 0 0 0 b
b b c 0 c b
0 a a a a a
0 a b a b a
0 c c c c c
0 c 0 c 0 c
b a c c c a
b a 0 c 0 a
b c a a a c
b c b a b c
a 0 a a a 0
a 0 b a b 0
a b c c c b
a b 0 c 0 b
c 0 c c c 0
c 0 0 c 0 0
c b a a a b
c b b a b b
a a 0 0 0 a
a a c 0 c a
a c b b b c
a c a b a c
c a b b b a
c a a b a a
c c 0 0 0 c
c c c 0 c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 2x2 + 4x3 + 7x4 + 8x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)1 (X_b)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)3 (X_b)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_a)3 (X_b)2 (X_c)1 + (X_a)1 (X_b)4 (X_c)1 + (X_0)3 (X_a)3 + (X_0)1 (X_a)3 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_a)2 (X_b)3 (X_c)1 + (X_a)4 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1980

a 0 a a a 0
0 a a a a a
b 0 b b b 0
0 b b b b b
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b b b b b
0 b a b a a
b 0 b b b 0
b 0 a b a c
b b 0 0 0 b
b b c 0 c a
0 a a a a a
0 a b a b b
0 c c c c c
0 c 0 c 0 0
b a c c c a
b a 0 c 0 b
b c a a a c
b c b a b 0
a 0 a a a 0
a 0 b a b c
a b c c c b
a b 0 c 0 a
c 0 c c c 0
c 0 0 c 0 c
c b a a a b
c b b a b a
a a 0 0 0 a
a a c 0 c b
a c b b b c
a c a b a 0
c a b b b a
c a a b a b
c c 0 0 0 c
c c c 0 c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 5x3 + 6x4 + 11x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)1 (X_b)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_a)3 (X_b)2 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1981

a 0 a a a 0
0 a a a a a
b 0 b b b 0
0 b b b b b
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b b b b b
0 b a a b b
b 0 b b b 0
b 0 a a b 0
b b 0 0 0 b
b b c c 0 b
0 a a a a a
0 a b b a a
0 c c c c c
0 c 0 0 c c
b a c c c a
b a 0 0 c a
b c a a a c
b c b b a c
a 0 a a a 0
a 0 b b a 0
a b c c c b
a b 0 0 c b
c 0 c c c 0
c 0 0 0 c 0
c b a a a b
c b b b a b
a a 0 0 0 a
a a c c 0 a
a c b b b c
a c a a b c
c a b b b a
c a a a b a
c c 0 0 0 c
c c c c 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 2x2 + 4x3 + 7x4 + 8x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)1 (X_b)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)3 (X_b)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_a)3 (X_b)2 (X_c)1 + (X_a)1 (X_b)4 (X_c)1 + (X_0)3 (X_a)3 + (X_0)1 (X_a)3 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_a)2 (X_b)3 (X_c)1 + (X_a)4 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1982

a 0 a a a 0
0 a a a a a
b 0 b b b 0
0 b b b b b
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b b b b b
0 b a a b a
b 0 b b b 0
b 0 a a b c
b b 0 0 0 b
b b c c 0 a
0 a a a a a
0 a b b a b
0 c c c c c
0 c 0 0 c 0
b a c c c a
b a 0 0 c b
b c a a a c
b c b b a 0
a 0 a a a 0
a 0 b b a c
a b c c c b
a b 0 0 c a
c 0 c c c 0
c 0 0 0 c c
c b a a a b
c b b b a a
a a 0 0 0 a
a a c c 0 b
a c b b b c
a c a a b 0
c a b b b a
c a a a b b
c c 0 0 0 c
c c c c 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 5x3 + 6x4 + 11x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)1 (X_b)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_a)3 (X_b)2 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1983

a 0 a a a 0
0 a a a a a
b 0 b b b 0
0 b b b b b
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b b b b b
0 b a a a b
b 0 b b b 0
b 0 a a a 0
b b 0 0 0 b
b b c c c b
0 a a a a a
0 a b b b a
0 c c c c c
0 c 0 0 0 c
b a c c c a
b a 0 0 0 a
b c a a a c
b c b b b c
a 0 a a a 0
a 0 b b b 0
a b c c c b
a b 0 0 0 b
c 0 c c c 0
c 0 0 0 0 0
c b a a a b
c b b b b b
a a 0 0 0 a
a a c c c a
a c b b b c
a c a a a c
c a b b b a
c a a a a a
c c 0 0 0 c
c c c c c c

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 1x2 + 6x3 + 5x4 + 5x5 + 13x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)1 (X_b)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)2 (X_b)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)3 (X_b)3 + (X_b)3 (X_c)3 + (X_0)1 (X_a)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_a)2 (X_b)1 + (X_a)3 (X_b)1 (X_c)2 + (X_b)4 (X_c)2 + (X_0)2 (X_a)4 + (X_0)2 (X_a)1 (X_b)3 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_b)5 (X_c)1 + (X_0)3 (X_a)3 + (X_a)3 (X_c)3 + (X_a)1 (X_b)3 (X_c)2 + (X_a)4 (X_c)2 + (X_a)2 (X_b)3 (X_c)1 + (X_a)5 (X_c)1 + (X_0)3 (X_c)3 + (X_c)6

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1984

a 0 a a a 0
0 a a a a a
b 0 b b b 0
0 b b b b b
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b b b b b
0 b a a a a
b 0 b b b 0
b 0 a a a c
b b 0 0 0 b
b b c c c a
0 a a a a a
0 a b b b b
0 c c c c c
0 c 0 0 0 0
b a c c c a
b a 0 0 0 b
b c a a a c
b c b b b 0
a 0 a a a 0
a 0 b b b c
a b c c c b
a b 0 0 0 a
c 0 c c c 0
c 0 0 0 0 c
c b a a a b
c b b b b a
a a 0 0 0 a
a a c c c b
a c b b b c
a c a a a 0
c a b b b a
c a a a a b
c c 0 0 0 c
c c c c c 0

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 1x2 + 5x3 + 4x4 + 10x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)1 (X_b)5 + (X_0)1 (X_a)4 (X_b)1 + (X_0)2 (X_b)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)3 (X_b)3 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)5 + (X_0)1 (X_a)1 (X_b)4 + (X_0)1 (X_c)5 + (X_0)5 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_a)1 (X_b)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_b)4 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_a)3 (X_b)2 (X_c)1 + (X_a)1 (X_b)4 (X_c)1 + (X_0)3 (X_a)3 + (X_a)2 (X_b)1 (X_c)3 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)4 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)4 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1985

a 0 a a a a
0 a a 0 0 0
b 0 b b b b
0 b b 0 0 0
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b b 0 0 0
0 b a 0 0 0
b 0 b b b b
b 0 a b b b
b b 0 b b b
b b c b b b
0 a a 0 0 0
0 a b 0 0 0
0 c c 0 0 0
0 c 0 0 0 0
b a c b b b
b a 0 b b b
b c a b b b
b c b b b b
a 0 a a a a
a 0 b a a a
a b c a a a
a b 0 a a a
c 0 c c c c
c 0 0 c c c
c b a c c c
c b b c c c
a a 0 a a a
a a c a a a
a c b a a a
a c a a a a
c a b c c c
c a a c c c
c c 0 c c c
c c c c c c

dmin: 1
Weight Enumerator: 1x0 + 2x1 + 5x2 + 0x3 + 1x4 + 10x5 + 13x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)4 (X_b)2 + (X_0)4 (X_a)1 (X_b)1 + (X_0)1 (X_b)5 + (X_0)1 (X_a)1 (X_b)4 + (X_0)1 (X_b)5 + (X_b)5 (X_c)1 + (X_0)4 (X_a)2 + (X_0)4 (X_a)1 (X_b)1 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_a)1 (X_b)4 (X_c)1 + (X_0)1 (X_a)1 (X_b)4 + (X_a)1 (X_b)4 (X_c)1 + (X_b)5 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)4 (X_b)1 + (X_a)4 (X_b)1 (X_c)1 + (X_0)1 (X_a)4 (X_b)1 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_a)1 (X_b)1 (X_c)4 + (X_b)2 (X_c)4 + (X_0)1 (X_a)5 + (X_a)5 (X_c)1 + (X_a)4 (X_b)1 (X_c)1 + (X_a)5 (X_c)1 + (X_a)1 (X_b)1 (X_c)4 + (X_a)2 (X_c)4 + (X_0)1 (X_c)5 + (X_c)6

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1986

a 0 a a a a
0 a a 0 0 0
b 0 b b b b
0 b b 0 0 0
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b b 0 0 0
0 b a 0 0 c
b 0 b b b b
b 0 a b b a
b b 0 b b b
b b c b b a
0 a a 0 0 0
0 a b 0 0 c
0 c c 0 0 0
0 c 0 0 0 c
b a c b b b
b a 0 b b a
b c a b b b
b c b b b a
a 0 a a a a
a 0 b a a b
a b c a a a
a b 0 a a b
c 0 c c c c
c 0 0 c c 0
c b a c c c
c b b c c 0
a a 0 a a a
a a c a a b
a c b a a a
a c a a a b
c a b c c c
c a a c c 0
c c 0 c c c
c c c c c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 5x2 + 3x3 + 0x4 + 13x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_b)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_b)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_b)5 + (X_a)1 (X_b)4 (X_c)1 + (X_0)4 (X_a)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_a)1 (X_b)4 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_a)1 (X_b)4 (X_c)1 + (X_a)1 (X_b)4 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)3 (X_b)2 + (X_a)4 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_a)1 (X_b)1 (X_c)4 + (X_0)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)5 + (X_a)4 (X_b)1 (X_c)1 + (X_a)4 (X_b)1 (X_c)1 + (X_a)4 (X_b)1 (X_c)1 + (X_a)1 (X_b)1 (X_c)4 + (X_0)1 (X_a)2 (X_c)3 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1987

a 0 a a a a
0 a a 0 0 0
b 0 b b b b
0 b b 0 0 0
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b b 0 0 0
0 b a 0 c 0
b 0 b b b b
b 0 a b a b
b b 0 b b b
b b c b a b
0 a a 0 0 0
0 a b 0 c 0
0 c c 0 0 0
0 c 0 0 c 0
b a c b b b
b a 0 b a b
b c a b b b
b c b b a b
a 0 a a a a
a 0 b a b a
a b c a a a
a b 0 a b a
c 0 c c c c
c 0 0 c 0 c
c b a c c c
c b b c 0 c
a a 0 a a a
a a c a b a
a c b a a a
a c a a b a
c a b c c c
c a a c 0 c
c c 0 c c c
c c c c 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 5x2 + 3x3 + 0x4 + 13x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_b)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_b)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_b)5 + (X_a)1 (X_b)4 (X_c)1 + (X_0)4 (X_a)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_a)1 (X_b)4 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_a)1 (X_b)4 (X_c)1 + (X_a)1 (X_b)4 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)3 (X_b)2 + (X_a)4 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_a)1 (X_b)1 (X_c)4 + (X_0)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)5 + (X_a)4 (X_b)1 (X_c)1 + (X_a)4 (X_b)1 (X_c)1 + (X_a)4 (X_b)1 (X_c)1 + (X_a)1 (X_b)1 (X_c)4 + (X_0)1 (X_a)2 (X_c)3 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1988

a 0 a a a a
0 a a 0 0 0
b 0 b b b b
0 b b 0 0 0
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b b 0 0 0
0 b a 0 c c
b 0 b b b b
b 0 a b a a
b b 0 b b b
b b c b a a
0 a a 0 0 0
0 a b 0 c c
0 c c 0 0 0
0 c 0 0 c c
b a c b b b
b a 0 b a a
b c a b b b
b c b b a a
a 0 a a a a
a 0 b a b b
a b c a a a
a b 0 a b b
c 0 c c c c
c 0 0 c 0 0
c b a c c c
c b b c 0 0
a a 0 a a a
a a c a b b
a c b a a a
a c a a b b
c a b c c c
c a a c 0 0
c c 0 c c c
c c c c 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 2x3 + 5x4 + 10x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_b)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_b)5 + (X_a)2 (X_b)3 (X_c)1 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_a)1 (X_b)4 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_a)1 (X_b)4 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)2 (X_b)3 + (X_a)4 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2 + (X_a)1 (X_b)1 (X_c)4 + (X_0)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)5 + (X_a)3 (X_b)2 (X_c)1 + (X_a)4 (X_b)1 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)1 (X_b)1 (X_c)4 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1989

a 0 a a a a
0 a a 0 0 0
b 0 b b b b
0 b b 0 0 0
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b b 0 0 0
0 b a c 0 0
b 0 b b b b
b 0 a a b b
b b 0 b b b
b b c a b b
0 a a 0 0 0
0 a b c 0 0
0 c c 0 0 0
0 c 0 c 0 0
b a c b b b
b a 0 a b b
b c a b b b
b c b a b b
a 0 a a a a
a 0 b b a a
a b c a a a
a b 0 b a a
c 0 c c c c
c 0 0 0 c c
c b a c c c
c b b 0 c c
a a 0 a a a
a a c b a a
a c b a a a
a c a b a a
c a b c c c
c a a 0 c c
c c 0 c c c
c c c 0 c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 5x2 + 3x3 + 0x4 + 13x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_b)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_b)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_b)5 + (X_a)1 (X_b)4 (X_c)1 + (X_0)4 (X_a)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_a)1 (X_b)4 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_a)1 (X_b)4 (X_c)1 + (X_a)1 (X_b)4 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)3 (X_b)2 + (X_a)4 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_a)1 (X_b)1 (X_c)4 + (X_0)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)5 + (X_a)4 (X_b)1 (X_c)1 + (X_a)4 (X_b)1 (X_c)1 + (X_a)4 (X_b)1 (X_c)1 + (X_a)1 (X_b)1 (X_c)4 + (X_0)1 (X_a)2 (X_c)3 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1990

a 0 a a a a
0 a a 0 0 0
b 0 b b b b
0 b b 0 0 0
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b b 0 0 0
0 b a c 0 c
b 0 b b b b
b 0 a a b a
b b 0 b b b
b b c a b a
0 a a 0 0 0
0 a b c 0 c
0 c c 0 0 0
0 c 0 c 0 c
b a c b b b
b a 0 a b a
b c a b b b
b c b a b a
a 0 a a a a
a 0 b b a b
a b c a a a
a b 0 b a b
c 0 c c c c
c 0 0 0 c 0
c b a c c c
c b b 0 c 0
a a 0 a a a
a a c b a b
a c b a a a
a c a b a b
c a b c c c
c a a 0 c 0
c c 0 c c c
c c c 0 c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 2x3 + 5x4 + 10x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_b)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_b)5 + (X_a)2 (X_b)3 (X_c)1 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_a)1 (X_b)4 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_a)1 (X_b)4 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)2 (X_b)3 + (X_a)4 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2 + (X_a)1 (X_b)1 (X_c)4 + (X_0)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)5 + (X_a)3 (X_b)2 (X_c)1 + (X_a)4 (X_b)1 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)1 (X_b)1 (X_c)4 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1991

a 0 a a a a
0 a a 0 0 0
b 0 b b b b
0 b b 0 0 0
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b b 0 0 0
0 b a c c 0
b 0 b b b b
b 0 a a a b
b b 0 b b b
b b c a a b
0 a a 0 0 0
0 a b c c 0
0 c c 0 0 0
0 c 0 c c 0
b a c b b b
b a 0 a a b
b c a b b b
b c b a a b
a 0 a a a a
a 0 b b b a
a b c a a a
a b 0 b b a
c 0 c c c c
c 0 0 0 0 c
c b a c c c
c b b 0 0 c
a a 0 a a a
a a c b b a
a c b a a a
a c a b b a
c a b c c c
c a a 0 0 c
c c 0 c c c
c c c 0 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 2x3 + 5x4 + 10x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)4 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_b)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_b)5 + (X_a)2 (X_b)3 (X_c)1 + (X_0)4 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_a)1 (X_b)4 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_a)1 (X_b)4 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)2 (X_b)3 + (X_a)4 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2 + (X_a)1 (X_b)1 (X_c)4 + (X_0)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)5 + (X_a)3 (X_b)2 (X_c)1 + (X_a)4 (X_b)1 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)1 (X_b)1 (X_c)4 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1992

a 0 a a a a
0 a a 0 0 0
b 0 b b b b
0 b b 0 0 0
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b b 0 0 0
0 b a c c c
b 0 b b b b
b 0 a a a a
b b 0 b b b
b b c a a a
0 a a 0 0 0
0 a b c c c
0 c c 0 0 0
0 c 0 c c c
b a c b b b
b a 0 a a a
b c a b b b
b c b a a a
a 0 a a a a
a 0 b b b b
a b c a a a
a b 0 b b b
c 0 c c c c
c 0 0 0 0 0
c b a c c c
c b b 0 0 0
a a 0 a a a
a a c b b b
a c b a a a
a c a b b b
c a b c c c
c a a 0 0 0
c c 0 c c c
c c c 0 0 0

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 3x2 + 3x3 + 2x4 + 12x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)4 (X_b)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_b)5 + (X_0)1 (X_a)4 (X_b)1 + (X_0)1 (X_b)5 + (X_a)3 (X_b)2 (X_c)1 + (X_0)4 (X_a)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_a)1 (X_b)4 (X_c)1 + (X_0)1 (X_a)4 (X_b)1 + (X_a)1 (X_b)4 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)1 (X_b)4 + (X_a)4 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)4 + (X_0)1 (X_c)5 + (X_0)5 (X_c)1 + (X_a)1 (X_b)1 (X_c)4 + (X_0)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)5 + (X_a)2 (X_b)3 (X_c)1 + (X_a)4 (X_b)1 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)1 (X_b)1 (X_c)4 + (X_0)3 (X_a)2 (X_c)1 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1993

a 0 a a a a
0 a a 0 0 a
b 0 b b b b
0 b b 0 0 b
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b b 0 0 b
0 b a 0 0 b
b 0 b b b b
b 0 a b b b
b b 0 b b 0
b b c b b 0
0 a a 0 0 a
0 a b 0 0 a
0 c c 0 0 c
0 c 0 0 0 c
b a c b b c
b a 0 b b c
b c a b b a
b c b b b a
a 0 a a a a
a 0 b a a a
a b c a a c
a b 0 a a c
c 0 c c c c
c 0 0 c c c
c b a c c a
c b b c c a
a a 0 a a 0
a a c a a 0
a c b a a b
a c a a a b
c a b c c b
c a a c c b
c c 0 c c 0
c c c c c 0

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 1x2 + 5x3 + 4x4 + 10x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)3 (X_b)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)1 (X_b)5 + (X_0)1 (X_a)1 (X_b)4 + (X_0)2 (X_b)4 + (X_0)1 (X_b)4 (X_c)1 + (X_0)3 (X_a)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)1 (X_b)4 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)4 (X_b)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_a)2 (X_b)1 (X_c)3 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)4 + (X_0)1 (X_a)4 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)4 (X_b)1 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1994

a 0 a a a a
0 a a 0 0 a
b 0 b b b b
0 b b 0 0 b
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b b 0 0 b
0 b a 0 0 a
b 0 b b b b
b 0 a b b a
b b 0 b b 0
b b c b b c
0 a a 0 0 a
0 a b 0 0 b
0 c c 0 0 c
0 c 0 0 0 0
b a c b b c
b a 0 b b 0
b c a b b a
b c b b b b
a 0 a a a a
a 0 b a a b
a b c a a c
a b 0 a a 0
c 0 c c c c
c 0 0 c c 0
c b a c c a
c b b c c b
a a 0 a a 0
a a c a a c
a c b a a b
a c a a a a
c a b c c b
c a a c c a
c c 0 c c 0
c c c c c c

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 1x2 + 6x3 + 5x4 + 5x5 + 13x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)1 (X_b)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)2 (X_b)4 + (X_b)4 (X_c)2 + (X_0)3 (X_a)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)1 (X_b)3 + (X_a)2 (X_b)3 (X_c)1 + (X_b)5 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)3 (X_b)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_a)2 (X_b)1 (X_c)3 + (X_b)3 (X_c)3 + (X_0)2 (X_a)4 + (X_a)4 (X_c)2 + (X_a)3 (X_b)2 (X_c)1 + (X_a)5 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_a)3 (X_c)3 + (X_0)2 (X_c)4 + (X_c)6

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1995

a 0 a a a a
0 a a 0 0 a
b 0 b b b b
0 b b 0 0 b
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b b 0 0 b
0 b a 0 c b
b 0 b b b b
b 0 a b a b
b b 0 b b 0
b b c b a 0
0 a a 0 0 a
0 a b 0 c a
0 c c 0 0 c
0 c 0 0 c c
b a c b b c
b a 0 b a c
b c a b b a
b c b b a a
a 0 a a a a
a 0 b a b a
a b c a a c
a b 0 a b c
c 0 c c c c
c 0 0 c 0 c
c b a c c a
c b b c 0 a
a a 0 a a 0
a a c a b 0
a c b a a b
a c a a b b
c a b c c b
c a a c 0 b
c c 0 c c 0
c c c c 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 5x3 + 6x4 + 11x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_b)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)3 (X_b)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1996

a 0 a a a a
0 a a 0 0 a
b 0 b b b b
0 b b 0 0 b
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b b 0 0 b
0 b a 0 c a
b 0 b b b b
b 0 a b a a
b b 0 b b 0
b b c b a c
0 a a 0 0 a
0 a b 0 c b
0 c c 0 0 c
0 c 0 0 c 0
b a c b b c
b a 0 b a 0
b c a b b a
b c b b a b
a 0 a a a a
a 0 b a b b
a b c a a c
a b 0 a b 0
c 0 c c c c
c 0 0 c 0 0
c b a c c a
c b b c 0 b
a a 0 a a 0
a a c a b c
a c b a a b
a c a a b a
c a b c c b
c a a c 0 a
c c 0 c c 0
c c c c 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 2x2 + 4x3 + 7x4 + 8x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_b)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)2 (X_b)4 + (X_a)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_a)2 (X_b)3 (X_c)1 + (X_a)1 (X_b)4 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)2 (X_b)3 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)4 + (X_a)3 (X_b)1 (X_c)2 + (X_a)3 (X_b)2 (X_c)1 + (X_a)4 (X_b)1 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1997

a 0 a a a a
0 a a 0 0 a
b 0 b b b b
0 b b 0 0 b
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b b 0 0 b
0 b a c 0 b
b 0 b b b b
b 0 a a b b
b b 0 b b 0
b b c a b 0
0 a a 0 0 a
0 a b c 0 a
0 c c 0 0 c
0 c 0 c 0 c
b a c b b c
b a 0 a b c
b c a b b a
b c b a b a
a 0 a a a a
a 0 b b a a
a b c a a c
a b 0 b a c
c 0 c c c c
c 0 0 0 c c
c b a c c a
c b b 0 c a
a a 0 a a 0
a a c b a 0
a c b a a b
a c a b a b
c a b c c b
c a a 0 c b
c c 0 c c 0
c c c 0 c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 5x3 + 6x4 + 11x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_b)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)3 (X_b)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1998

a 0 a a a a
0 a a 0 0 a
b 0 b b b b
0 b b 0 0 b
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b b 0 0 b
0 b a c 0 a
b 0 b b b b
b 0 a a b a
b b 0 b b 0
b b c a b c
0 a a 0 0 a
0 a b c 0 b
0 c c 0 0 c
0 c 0 c 0 0
b a c b b c
b a 0 a b 0
b c a b b a
b c b a b b
a 0 a a a a
a 0 b b a b
a b c a a c
a b 0 b a 0
c 0 c c c c
c 0 0 0 c 0
c b a c c a
c b b 0 c b
a a 0 a a 0
a a c b a c
a c b a a b
a c a b a a
c a b c c b
c a a 0 c a
c c 0 c c 0
c c c 0 c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 2x2 + 4x3 + 7x4 + 8x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_b)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)2 (X_b)4 + (X_a)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_a)2 (X_b)3 (X_c)1 + (X_a)1 (X_b)4 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)2 (X_b)3 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)4 + (X_a)3 (X_b)1 (X_c)2 + (X_a)3 (X_b)2 (X_c)1 + (X_a)4 (X_b)1 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-1999

a 0 a a a a
0 a a 0 0 a
b 0 b b b b
0 b b 0 0 b
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b b 0 0 b
0 b a c c b
b 0 b b b b
b 0 a a a b
b b 0 b b 0
b b c a a 0
0 a a 0 0 a
0 a b c c a
0 c c 0 0 c
0 c 0 c c c
b a c b b c
b a 0 a a c
b c a b b a
b c b a a a
a 0 a a a a
a 0 b b b a
a b c a a c
a b 0 b b c
c 0 c c c c
c 0 0 0 0 c
c b a c c a
c b b 0 0 a
a a 0 a a 0
a a c b b 0
a c b a a b
a c a b b b
c a b c c b
c a a 0 0 b
c c 0 c c 0
c c c 0 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 5x3 + 6x4 + 11x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_b)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)2 (X_b)3 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-2000

a 0 a a a a
0 a a 0 0 a
b 0 b b b b
0 b b 0 0 b
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b b 0 0 b
0 b a c c a
b 0 b b b b
b 0 a a a a
b b 0 b b 0
b b c a a c
0 a a 0 0 a
0 a b c c b
0 c c 0 0 c
0 c 0 c c 0
b a c b b c
b a 0 a a 0
b c a b b a
b c b a a b
a 0 a a a a
a 0 b b b b
a b c a a c
a b 0 b b 0
c 0 c c c c
c 0 0 0 0 0
c b a c c a
c b b 0 0 b
a a 0 a a 0
a a c b b c
a c b a a b
a c a b b a
c a b c c b
c a a 0 0 a
c c 0 c c 0
c c c 0 0 c

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 0x2 + 4x3 + 9x4 + 7x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)3 (X_b)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_b)5 + (X_0)1 (X_a)4 (X_b)1 + (X_0)2 (X_b)4 + (X_a)2 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)3 (X_b)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)1 (X_b)4 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_c)5 + (X_0)5 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_a)2 (X_b)2 (X_c)2 + (X_a)3 (X_b)2 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)3 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-2001

a 0 a a a a
0 a a 0 a 0
b 0 b b b b
0 b b 0 b 0
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b b 0 b 0
0 b a 0 b 0
b 0 b b b b
b 0 a b b b
b b 0 b 0 b
b b c b 0 b
0 a a 0 a 0
0 a b 0 a 0
0 c c 0 c 0
0 c 0 0 c 0
b a c b c b
b a 0 b c b
b c a b a b
b c b b a b
a 0 a a a a
a 0 b a a a
a b c a c a
a b 0 a c a
c 0 c c c c
c 0 0 c c c
c b a c a c
c b b c a c
a a 0 a 0 a
a a c a 0 a
a c b a b a
a c a a b a
c a b c b c
c a a c b c
c c 0 c 0 c
c c c c 0 c

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 1x2 + 5x3 + 4x4 + 10x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)3 (X_b)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)1 (X_b)5 + (X_0)1 (X_a)1 (X_b)4 + (X_0)2 (X_b)4 + (X_0)1 (X_b)4 (X_c)1 + (X_0)3 (X_a)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)1 (X_b)4 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)4 (X_b)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_a)2 (X_b)1 (X_c)3 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)4 + (X_0)1 (X_a)4 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)4 (X_b)1 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-2002

a 0 a a a a
0 a a 0 a 0
b 0 b b b b
0 b b 0 b 0
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b b 0 b 0
0 b a 0 b c
b 0 b b b b
b 0 a b b a
b b 0 b 0 b
b b c b 0 a
0 a a 0 a 0
0 a b 0 a c
0 c c 0 c 0
0 c 0 0 c c
b a c b c b
b a 0 b c a
b c a b a b
b c b b a a
a 0 a a a a
a 0 b a a b
a b c a c a
a b 0 a c b
c 0 c c c c
c 0 0 c c 0
c b a c a c
c b b c a 0
a a 0 a 0 a
a a c a 0 b
a c b a b a
a c a a b b
c a b c b c
c a a c b 0
c c 0 c 0 c
c c c c 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 5x3 + 6x4 + 11x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_b)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)3 (X_b)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-2003

a 0 a a a a
0 a a 0 a 0
b 0 b b b b
0 b b 0 b 0
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b b 0 b 0
0 b a 0 a 0
b 0 b b b b
b 0 a b a b
b b 0 b 0 b
b b c b c b
0 a a 0 a 0
0 a b 0 b 0
0 c c 0 c 0
0 c 0 0 0 0
b a c b c b
b a 0 b 0 b
b c a b a b
b c b b b b
a 0 a a a a
a 0 b a b a
a b c a c a
a b 0 a 0 a
c 0 c c c c
c 0 0 c 0 c
c b a c a c
c b b c b c
a a 0 a 0 a
a a c a c a
a c b a b a
a c a a a a
c a b c b c
c a a c a c
c c 0 c 0 c
c c c c c c

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 1x2 + 6x3 + 5x4 + 5x5 + 13x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)1 (X_b)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)2 (X_b)4 + (X_b)4 (X_c)2 + (X_0)3 (X_a)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)1 (X_b)3 + (X_a)2 (X_b)3 (X_c)1 + (X_b)5 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)3 (X_b)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_a)2 (X_b)1 (X_c)3 + (X_b)3 (X_c)3 + (X_0)2 (X_a)4 + (X_a)4 (X_c)2 + (X_a)3 (X_b)2 (X_c)1 + (X_a)5 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_a)3 (X_c)3 + (X_0)2 (X_c)4 + (X_c)6

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-2004

a 0 a a a a
0 a a 0 a 0
b 0 b b b b
0 b b 0 b 0
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b b 0 b 0
0 b a 0 a c
b 0 b b b b
b 0 a b a a
b b 0 b 0 b
b b c b c a
0 a a 0 a 0
0 a b 0 b c
0 c c 0 c 0
0 c 0 0 0 c
b a c b c b
b a 0 b 0 a
b c a b a b
b c b b b a
a 0 a a a a
a 0 b a b b
a b c a c a
a b 0 a 0 b
c 0 c c c c
c 0 0 c 0 0
c b a c a c
c b b c b 0
a a 0 a 0 a
a a c a c b
a c b a b a
a c a a a b
c a b c b c
c a a c a 0
c c 0 c 0 c
c c c c c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 2x2 + 4x3 + 7x4 + 8x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_b)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)2 (X_b)4 + (X_a)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_a)2 (X_b)3 (X_c)1 + (X_a)1 (X_b)4 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)2 (X_b)3 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)4 + (X_a)3 (X_b)1 (X_c)2 + (X_a)3 (X_b)2 (X_c)1 + (X_a)4 (X_b)1 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-2005

a 0 a a a a
0 a a 0 a 0
b 0 b b b b
0 b b 0 b 0
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b b 0 b 0
0 b a c b 0
b 0 b b b b
b 0 a a b b
b b 0 b 0 b
b b c a 0 b
0 a a 0 a 0
0 a b c a 0
0 c c 0 c 0
0 c 0 c c 0
b a c b c b
b a 0 a c b
b c a b a b
b c b a a b
a 0 a a a a
a 0 b b a a
a b c a c a
a b 0 b c a
c 0 c c c c
c 0 0 0 c c
c b a c a c
c b b 0 a c
a a 0 a 0 a
a a c b 0 a
a c b a b a
a c a b b a
c a b c b c
c a a 0 b c
c c 0 c 0 c
c c c 0 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 5x3 + 6x4 + 11x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_b)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)3 (X_b)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-2006

a 0 a a a a
0 a a 0 a 0
b 0 b b b b
0 b b 0 b 0
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b b 0 b 0
0 b a c b c
b 0 b b b b
b 0 a a b a
b b 0 b 0 b
b b c a 0 a
0 a a 0 a 0
0 a b c a c
0 c c 0 c 0
0 c 0 c c c
b a c b c b
b a 0 a c a
b c a b a b
b c b a a a
a 0 a a a a
a 0 b b a b
a b c a c a
a b 0 b c b
c 0 c c c c
c 0 0 0 c 0
c b a c a c
c b b 0 a 0
a a 0 a 0 a
a a c b 0 b
a c b a b a
a c a b b b
c a b c b c
c a a 0 b 0
c c 0 c 0 c
c c c 0 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 5x3 + 6x4 + 11x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_b)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)2 (X_b)3 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-2007

a 0 a a a a
0 a a 0 a 0
b 0 b b b b
0 b b 0 b 0
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b b 0 b 0
0 b a c a 0
b 0 b b b b
b 0 a a a b
b b 0 b 0 b
b b c a c b
0 a a 0 a 0
0 a b c b 0
0 c c 0 c 0
0 c 0 c 0 0
b a c b c b
b a 0 a 0 b
b c a b a b
b c b a b b
a 0 a a a a
a 0 b b b a
a b c a c a
a b 0 b 0 a
c 0 c c c c
c 0 0 0 0 c
c b a c a c
c b b 0 b c
a a 0 a 0 a
a a c b c a
a c b a b a
a c a b a a
c a b c b c
c a a 0 a c
c c 0 c 0 c
c c c 0 c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 2x2 + 4x3 + 7x4 + 8x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_b)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)2 (X_b)4 + (X_a)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_a)2 (X_b)3 (X_c)1 + (X_a)1 (X_b)4 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)2 (X_b)3 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)4 + (X_a)3 (X_b)1 (X_c)2 + (X_a)3 (X_b)2 (X_c)1 + (X_a)4 (X_b)1 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-2008

a 0 a a a a
0 a a 0 a 0
b 0 b b b b
0 b b 0 b 0
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b b 0 b 0
0 b a c a c
b 0 b b b b
b 0 a a a a
b b 0 b 0 b
b b c a c a
0 a a 0 a 0
0 a b c b c
0 c c 0 c 0
0 c 0 c 0 c
b a c b c b
b a 0 a 0 a
b c a b a b
b c b a b a
a 0 a a a a
a 0 b b b b
a b c a c a
a b 0 b 0 b
c 0 c c c c
c 0 0 0 0 0
c b a c a c
c b b 0 b 0
a a 0 a 0 a
a a c b c b
a c b a b a
a c a b a b
c a b c b c
c a a 0 a 0
c c 0 c 0 c
c c c 0 c 0

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 0x2 + 4x3 + 9x4 + 7x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)3 (X_b)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_b)5 + (X_0)1 (X_a)4 (X_b)1 + (X_0)2 (X_b)4 + (X_a)2 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)3 (X_b)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)1 (X_b)4 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_c)5 + (X_0)5 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_a)2 (X_b)2 (X_c)2 + (X_a)3 (X_b)2 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)3 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-2009

a 0 a a a a
0 a a 0 a a
b 0 b b b b
0 b b 0 b b
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b b 0 b b
0 b a 0 b b
b 0 b b b b
b 0 a b b b
b b 0 b 0 0
b b c b 0 0
0 a a 0 a a
0 a b 0 a a
0 c c 0 c c
0 c 0 0 c c
b a c b c c
b a 0 b c c
b c a b a a
b c b b a a
a 0 a a a a
a 0 b a a a
a b c a c c
a b 0 a c c
c 0 c c c c
c 0 0 c c c
c b a c a a
c b b c a a
a a 0 a 0 0
a a c a 0 0
a c b a b b
a c a a b b
c a b c b b
c a a c b b
c c 0 c 0 0
c c c c 0 0

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 0x2 + 4x3 + 9x4 + 7x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)2 (X_b)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_b)5 + (X_0)1 (X_a)1 (X_b)4 + (X_0)3 (X_b)3 + (X_0)2 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)3 (X_b)2 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)4 (X_b)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_a)3 (X_b)1 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)3 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-2010

a 0 a a a a
0 a a 0 a a
b 0 b b b b
0 b b 0 b b
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b b 0 b b
0 b a 0 b a
b 0 b b b b
b 0 a b b a
b b 0 b 0 0
b b c b 0 c
0 a a 0 a a
0 a b 0 a b
0 c c 0 c c
0 c 0 0 c 0
b a c b c c
b a 0 b c 0
b c a b a a
b c b b a b
a 0 a a a a
a 0 b a a b
a b c a c c
a b 0 a c 0
c 0 c c c c
c 0 0 c c 0
c b a c a a
c b b c a b
a a 0 a 0 0
a a c a 0 c
a c b a b b
a c a a b a
c a b c b b
c a a c b a
c c 0 c 0 0
c c c c 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 2x2 + 4x3 + 7x4 + 8x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_b)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)3 (X_b)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)1 (X_b)4 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)3 (X_b)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_a)3 (X_b)1 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)3 (X_c)2 + (X_a)2 (X_b)3 (X_c)1 + (X_a)4 (X_b)1 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-2011

a 0 a a a a
0 a a 0 a a
b 0 b b b b
0 b b 0 b b
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b b 0 b b
0 b a 0 a b
b 0 b b b b
b 0 a b a b
b b 0 b 0 0
b b c b c 0
0 a a 0 a a
0 a b 0 b a
0 c c 0 c c
0 c 0 0 0 c
b a c b c c
b a 0 b 0 c
b c a b a a
b c b b b a
a 0 a a a a
a 0 b a b a
a b c a c c
a b 0 a 0 c
c 0 c c c c
c 0 0 c 0 c
c b a c a a
c b b c b a
a a 0 a 0 0
a a c a c 0
a c b a b b
a c a a a b
c a b c b b
c a a c a b
c c 0 c 0 0
c c c c c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 2x2 + 4x3 + 7x4 + 8x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_b)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)3 (X_b)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)1 (X_b)4 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)3 (X_b)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_a)3 (X_b)1 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)3 (X_c)2 + (X_a)2 (X_b)3 (X_c)1 + (X_a)4 (X_b)1 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-2012

a 0 a a a a
0 a a 0 a a
b 0 b b b b
0 b b 0 b b
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b b 0 b b
0 b a 0 a a
b 0 b b b b
b 0 a b a a
b b 0 b 0 0
b b c b c c
0 a a 0 a a
0 a b 0 b b
0 c c 0 c c
0 c 0 0 0 0
b a c b c c
b a 0 b 0 0
b c a b a a
b c b b b b
a 0 a a a a
a 0 b a b b
a b c a c c
a b 0 a 0 0
c 0 c c c c
c 0 0 c 0 0
c b a c a a
c b b c b b
a a 0 a 0 0
a a c a c c
a c b a b b
a c a a a a
c a b c b b
c a a c a a
c c 0 c 0 0
c c c c c c

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 1x2 + 6x3 + 5x4 + 5x5 + 13x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)2 (X_b)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_b)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)3 (X_b)3 + (X_b)3 (X_c)3 + (X_0)2 (X_a)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)1 (X_b)2 + (X_a)3 (X_b)2 (X_c)1 + (X_b)5 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)2 (X_b)3 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_b)4 (X_c)2 + (X_0)3 (X_a)3 + (X_a)3 (X_c)3 + (X_a)2 (X_b)3 (X_c)1 + (X_a)5 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_a)4 (X_c)2 + (X_0)3 (X_c)3 + (X_c)6

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-2013

a 0 a a a a
0 a a 0 a a
b 0 b b b b
0 b b 0 b b
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b b 0 b b
0 b a c b b
b 0 b b b b
b 0 a a b b
b b 0 b 0 0
b b c a 0 0
0 a a 0 a a
0 a b c a a
0 c c 0 c c
0 c 0 c c c
b a c b c c
b a 0 a c c
b c a b a a
b c b a a a
a 0 a a a a
a 0 b b a a
a b c a c c
a b 0 b c c
c 0 c c c c
c 0 0 0 c c
c b a c a a
c b b 0 a a
a a 0 a 0 0
a a c b 0 0
a c b a b b
a c a b b b
c a b c b b
c a a 0 b b
c c 0 c 0 0
c c c 0 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 5x3 + 6x4 + 11x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_b)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)3 (X_b)2 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)3 (X_b)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-2014

a 0 a a a a
0 a a 0 a a
b 0 b b b b
0 b b 0 b b
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b b 0 b b
0 b a c b a
b 0 b b b b
b 0 a a b a
b b 0 b 0 0
b b c a 0 c
0 a a 0 a a
0 a b c a b
0 c c 0 c c
0 c 0 c c 0
b a c b c c
b a 0 a c 0
b c a b a a
b c b a a b
a 0 a a a a
a 0 b b a b
a b c a c c
a b 0 b c 0
c 0 c c c c
c 0 0 0 c 0
c b a c a a
c b b 0 a b
a a 0 a 0 0
a a c b 0 c
a c b a b b
a c a b b a
c a b c b b
c a a 0 b a
c c 0 c 0 0
c c c 0 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 5x3 + 6x4 + 11x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_b)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)2 (X_b)3 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)2 (X_b)3 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-2015

a 0 a a a a
0 a a 0 a a
b 0 b b b b
0 b b 0 b b
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b b 0 b b
0 b a c a b
b 0 b b b b
b 0 a a a b
b b 0 b 0 0
b b c a c 0
0 a a 0 a a
0 a b c b a
0 c c 0 c c
0 c 0 c 0 c
b a c b c c
b a 0 a 0 c
b c a b a a
b c b a b a
a 0 a a a a
a 0 b b b a
a b c a c c
a b 0 b 0 c
c 0 c c c c
c 0 0 0 0 c
c b a c a a
c b b 0 b a
a a 0 a 0 0
a a c b c 0
a c b a b b
a c a b a b
c a b c b b
c a a 0 a b
c c 0 c 0 0
c c c 0 c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 5x3 + 6x4 + 11x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_b)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)2 (X_b)3 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)2 (X_b)3 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-2016

a 0 a a a a
0 a a 0 a a
b 0 b b b b
0 b b 0 b b
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b b 0 b b
0 b a c a a
b 0 b b b b
b 0 a a a a
b b 0 b 0 0
b b c a c c
0 a a 0 a a
0 a b c b b
0 c c 0 c c
0 c 0 c 0 0
b a c b c c
b a 0 a 0 0
b c a b a a
b c b a b b
a 0 a a a a
a 0 b b b b
a b c a c c
a b 0 b 0 0
c 0 c c c c
c 0 0 0 0 0
c b a c a a
c b b 0 b b
a a 0 a 0 0
a a c b c c
a c b a b b
a c a b a a
c a b c b b
c a a 0 a a
c c 0 c 0 0
c c c 0 c c

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 1x2 + 5x3 + 4x4 + 10x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)2 (X_b)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_b)5 + (X_0)1 (X_a)4 (X_b)1 + (X_0)3 (X_b)3 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)2 (X_b)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)1 (X_b)4 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)1 (X_b)4 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)1 (X_c)5 + (X_0)5 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_b)4 (X_c)1 + (X_0)3 (X_a)3 + (X_a)2 (X_b)1 (X_c)3 + (X_a)2 (X_b)3 (X_c)1 + (X_a)4 (X_b)1 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)4 (X_c)1 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-2017

a 0 a a a a
0 a a a 0 0
b 0 b b b b
0 b b b 0 0
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b b b 0 0
0 b a b 0 0
b 0 b b b b
b 0 a b b b
b b 0 0 b b
b b c 0 b b
0 a a a 0 0
0 a b a 0 0
0 c c c 0 0
0 c 0 c 0 0
b a c c b b
b a 0 c b b
b c a a b b
b c b a b b
a 0 a a a a
a 0 b a a a
a b c c a a
a b 0 c a a
c 0 c c c c
c 0 0 c c c
c b a a c c
c b b a c c
a a 0 0 a a
a a c 0 a a
a c b b a a
a c a b a a
c a b b c c
c a a b c c
c c 0 0 c c
c c c 0 c c

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 1x2 + 5x3 + 4x4 + 10x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)3 (X_b)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)1 (X_b)5 + (X_0)1 (X_a)1 (X_b)4 + (X_0)2 (X_b)4 + (X_0)1 (X_b)4 (X_c)1 + (X_0)3 (X_a)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)1 (X_b)4 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)4 (X_b)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_a)2 (X_b)1 (X_c)3 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)4 + (X_0)1 (X_a)4 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)4 (X_b)1 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-2018

a 0 a a a a
0 a a a 0 0
b 0 b b b b
0 b b b 0 0
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b b b 0 0
0 b a b 0 c
b 0 b b b b
b 0 a b b a
b b 0 0 b b
b b c 0 b a
0 a a a 0 0
0 a b a 0 c
0 c c c 0 0
0 c 0 c 0 c
b a c c b b
b a 0 c b a
b c a a b b
b c b a b a
a 0 a a a a
a 0 b a a b
a b c c a a
a b 0 c a b
c 0 c c c c
c 0 0 c c 0
c b a a c c
c b b a c 0
a a 0 0 a a
a a c 0 a b
a c b b a a
a c a b a b
c a b b c c
c a a b c 0
c c 0 0 c c
c c c 0 c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 5x3 + 6x4 + 11x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_b)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)3 (X_b)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-2019

a 0 a a a a
0 a a a 0 0
b 0 b b b b
0 b b b 0 0
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b b b 0 0
0 b a b c 0
b 0 b b b b
b 0 a b a b
b b 0 0 b b
b b c 0 a b
0 a a a 0 0
0 a b a c 0
0 c c c 0 0
0 c 0 c c 0
b a c c b b
b a 0 c a b
b c a a b b
b c b a a b
a 0 a a a a
a 0 b a b a
a b c c a a
a b 0 c b a
c 0 c c c c
c 0 0 c 0 c
c b a a c c
c b b a 0 c
a a 0 0 a a
a a c 0 b a
a c b b a a
a c a b b a
c a b b c c
c a a b 0 c
c c 0 0 c c
c c c 0 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 5x3 + 6x4 + 11x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_b)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)3 (X_b)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-2020

a 0 a a a a
0 a a a 0 0
b 0 b b b b
0 b b b 0 0
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b b b 0 0
0 b a b c c
b 0 b b b b
b 0 a b a a
b b 0 0 b b
b b c 0 a a
0 a a a 0 0
0 a b a c c
0 c c c 0 0
0 c 0 c c c
b a c c b b
b a 0 c a a
b c a a b b
b c b a a a
a 0 a a a a
a 0 b a b b
a b c c a a
a b 0 c b b
c 0 c c c c
c 0 0 c 0 0
c b a a c c
c b b a 0 0
a a 0 0 a a
a a c 0 b b
a c b b a a
a c a b b b
c a b b c c
c a a b 0 0
c c 0 0 c c
c c c 0 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 5x3 + 6x4 + 11x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_b)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)2 (X_b)3 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-2021

a 0 a a a a
0 a a a 0 0
b 0 b b b b
0 b b b 0 0
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b b b 0 0
0 b a a 0 0
b 0 b b b b
b 0 a a b b
b b 0 0 b b
b b c c b b
0 a a a 0 0
0 a b b 0 0
0 c c c 0 0
0 c 0 0 0 0
b a c c b b
b a 0 0 b b
b c a a b b
b c b b b b
a 0 a a a a
a 0 b b a a
a b c c a a
a b 0 0 a a
c 0 c c c c
c 0 0 0 c c
c b a a c c
c b b b c c
a a 0 0 a a
a a c c a a
a c b b a a
a c a a a a
c a b b c c
c a a a c c
c c 0 0 c c
c c c c c c

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 1x2 + 6x3 + 5x4 + 5x5 + 13x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)3 (X_b)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)1 (X_b)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)2 (X_b)4 + (X_b)4 (X_c)2 + (X_0)3 (X_a)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)1 (X_b)3 + (X_a)2 (X_b)3 (X_c)1 + (X_b)5 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)3 (X_b)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_a)2 (X_b)1 (X_c)3 + (X_b)3 (X_c)3 + (X_0)2 (X_a)4 + (X_a)4 (X_c)2 + (X_a)3 (X_b)2 (X_c)1 + (X_a)5 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_a)3 (X_c)3 + (X_0)2 (X_c)4 + (X_c)6

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-2022

a 0 a a a a
0 a a a 0 0
b 0 b b b b
0 b b b 0 0
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b b b 0 0
0 b a a 0 c
b 0 b b b b
b 0 a a b a
b b 0 0 b b
b b c c b a
0 a a a 0 0
0 a b b 0 c
0 c c c 0 0
0 c 0 0 0 c
b a c c b b
b a 0 0 b a
b c a a b b
b c b b b a
a 0 a a a a
a 0 b b a b
a b c c a a
a b 0 0 a b
c 0 c c c c
c 0 0 0 c 0
c b a a c c
c b b b c 0
a a 0 0 a a
a a c c a b
a c b b a a
a c a a a b
c a b b c c
c a a a c 0
c c 0 0 c c
c c c c c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 2x2 + 4x3 + 7x4 + 8x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_b)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)2 (X_b)4 + (X_a)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_a)2 (X_b)3 (X_c)1 + (X_a)1 (X_b)4 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)2 (X_b)3 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)4 + (X_a)3 (X_b)1 (X_c)2 + (X_a)3 (X_b)2 (X_c)1 + (X_a)4 (X_b)1 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-2023

a 0 a a a a
0 a a a 0 0
b 0 b b b b
0 b b b 0 0
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b b b 0 0
0 b a a c 0
b 0 b b b b
b 0 a a a b
b b 0 0 b b
b b c c a b
0 a a a 0 0
0 a b b c 0
0 c c c 0 0
0 c 0 0 c 0
b a c c b b
b a 0 0 a b
b c a a b b
b c b b a b
a 0 a a a a
a 0 b b b a
a b c c a a
a b 0 0 b a
c 0 c c c c
c 0 0 0 0 c
c b a a c c
c b b b 0 c
a a 0 0 a a
a a c c b a
a c b b a a
a c a a b a
c a b b c c
c a a a 0 c
c c 0 0 c c
c c c c 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 2x2 + 4x3 + 7x4 + 8x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)3 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_b)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)2 (X_b)4 + (X_a)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_a)2 (X_b)3 (X_c)1 + (X_a)1 (X_b)4 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)2 (X_b)3 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)4 + (X_a)3 (X_b)1 (X_c)2 + (X_a)3 (X_b)2 (X_c)1 + (X_a)4 (X_b)1 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-2024

a 0 a a a a
0 a a a 0 0
b 0 b b b b
0 b b b 0 0
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b b b 0 0
0 b a a c c
b 0 b b b b
b 0 a a a a
b b 0 0 b b
b b c c a a
0 a a a 0 0
0 a b b c c
0 c c c 0 0
0 c 0 0 c c
b a c c b b
b a 0 0 a a
b c a a b b
b c b b a a
a 0 a a a a
a 0 b b b b
a b c c a a
a b 0 0 b b
c 0 c c c c
c 0 0 0 0 0
c b a a c c
c b b b 0 0
a a 0 0 a a
a a c c b b
a c b b a a
a c a a b b
c a b b c c
c a a a 0 0
c c 0 0 c c
c c c c 0 0

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 0x2 + 4x3 + 9x4 + 7x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)3 (X_b)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_b)5 + (X_0)1 (X_a)4 (X_b)1 + (X_0)2 (X_b)4 + (X_a)2 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)3 (X_b)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)1 (X_b)4 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_c)5 + (X_0)5 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_a)2 (X_b)2 (X_c)2 + (X_a)3 (X_b)2 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)3 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-2025

a 0 a a a a
0 a a a 0 a
b 0 b b b b
0 b b b 0 b
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b b b 0 b
0 b a b 0 b
b 0 b b b b
b 0 a b b b
b b 0 0 b 0
b b c 0 b 0
0 a a a 0 a
0 a b a 0 a
0 c c c 0 c
0 c 0 c 0 c
b a c c b c
b a 0 c b c
b c a a b a
b c b a b a
a 0 a a a a
a 0 b a a a
a b c c a c
a b 0 c a c
c 0 c c c c
c 0 0 c c c
c b a a c a
c b b a c a
a a 0 0 a 0
a a c 0 a 0
a c b b a b
a c a b a b
c a b b c b
c a a b c b
c c 0 0 c 0
c c c 0 c 0

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 0x2 + 4x3 + 9x4 + 7x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)2 (X_b)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_b)5 + (X_0)1 (X_a)1 (X_b)4 + (X_0)3 (X_b)3 + (X_0)2 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)3 (X_b)2 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)4 (X_b)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_a)3 (X_b)1 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)3 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-2026

a 0 a a a a
0 a a a 0 a
b 0 b b b b
0 b b b 0 b
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b b b 0 b
0 b a b 0 a
b 0 b b b b
b 0 a b b a
b b 0 0 b 0
b b c 0 b c
0 a a a 0 a
0 a b a 0 b
0 c c c 0 c
0 c 0 c 0 0
b a c c b c
b a 0 c b 0
b c a a b a
b c b a b b
a 0 a a a a
a 0 b a a b
a b c c a c
a b 0 c a 0
c 0 c c c c
c 0 0 c c 0
c b a a c a
c b b a c b
a a 0 0 a 0
a a c 0 a c
a c b b a b
a c a b a a
c a b b c b
c a a b c a
c c 0 0 c 0
c c c 0 c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 2x2 + 4x3 + 7x4 + 8x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_b)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)3 (X_b)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)1 (X_b)4 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)3 (X_b)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_a)3 (X_b)1 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)3 (X_c)2 + (X_a)2 (X_b)3 (X_c)1 + (X_a)4 (X_b)1 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-2027

a 0 a a a a
0 a a a 0 a
b 0 b b b b
0 b b b 0 b
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b b b 0 b
0 b a b c b
b 0 b b b b
b 0 a b a b
b b 0 0 b 0
b b c 0 a 0
0 a a a 0 a
0 a b a c a
0 c c c 0 c
0 c 0 c c c
b a c c b c
b a 0 c a c
b c a a b a
b c b a a a
a 0 a a a a
a 0 b a b a
a b c c a c
a b 0 c b c
c 0 c c c c
c 0 0 c 0 c
c b a a c a
c b b a 0 a
a a 0 0 a 0
a a c 0 b 0
a c b b a b
a c a b b b
c a b b c b
c a a b 0 b
c c 0 0 c 0
c c c 0 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 5x3 + 6x4 + 11x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_b)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)3 (X_b)2 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)3 (X_b)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-2028

a 0 a a a a
0 a a a 0 a
b 0 b b b b
0 b b b 0 b
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b b b 0 b
0 b a b c a
b 0 b b b b
b 0 a b a a
b b 0 0 b 0
b b c 0 a c
0 a a a 0 a
0 a b a c b
0 c c c 0 c
0 c 0 c c 0
b a c c b c
b a 0 c a 0
b c a a b a
b c b a a b
a 0 a a a a
a 0 b a b b
a b c c a c
a b 0 c b 0
c 0 c c c c
c 0 0 c 0 0
c b a a c a
c b b a 0 b
a a 0 0 a 0
a a c 0 b c
a c b b a b
a c a b b a
c a b b c b
c a a b 0 a
c c 0 0 c 0
c c c 0 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 5x3 + 6x4 + 11x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_b)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)2 (X_b)3 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)2 (X_b)3 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-2029

a 0 a a a a
0 a a a 0 a
b 0 b b b b
0 b b b 0 b
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b b b 0 b
0 b a a 0 b
b 0 b b b b
b 0 a a b b
b b 0 0 b 0
b b c c b 0
0 a a a 0 a
0 a b b 0 a
0 c c c 0 c
0 c 0 0 0 c
b a c c b c
b a 0 0 b c
b c a a b a
b c b b b a
a 0 a a a a
a 0 b b a a
a b c c a c
a b 0 0 a c
c 0 c c c c
c 0 0 0 c c
c b a a c a
c b b b c a
a a 0 0 a 0
a a c c a 0
a c b b a b
a c a a a b
c a b b c b
c a a a c b
c c 0 0 c 0
c c c c c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 2x2 + 4x3 + 7x4 + 8x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_b)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)3 (X_b)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)1 (X_b)4 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)3 (X_b)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_a)3 (X_b)1 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)3 (X_c)2 + (X_a)2 (X_b)3 (X_c)1 + (X_a)4 (X_b)1 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-2030

a 0 a a a a
0 a a a 0 a
b 0 b b b b
0 b b b 0 b
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b b b 0 b
0 b a a 0 a
b 0 b b b b
b 0 a a b a
b b 0 0 b 0
b b c c b c
0 a a a 0 a
0 a b b 0 b
0 c c c 0 c
0 c 0 0 0 0
b a c c b c
b a 0 0 b 0
b c a a b a
b c b b b b
a 0 a a a a
a 0 b b a b
a b c c a c
a b 0 0 a 0
c 0 c c c c
c 0 0 0 c 0
c b a a c a
c b b b c b
a a 0 0 a 0
a a c c a c
a c b b a b
a c a a a a
c a b b c b
c a a a c a
c c 0 0 c 0
c c c c c c

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 1x2 + 6x3 + 5x4 + 5x5 + 13x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)2 (X_b)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_b)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)3 (X_b)3 + (X_b)3 (X_c)3 + (X_0)2 (X_a)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)1 (X_b)2 + (X_a)3 (X_b)2 (X_c)1 + (X_b)5 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)2 (X_b)3 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_b)4 (X_c)2 + (X_0)3 (X_a)3 + (X_a)3 (X_c)3 + (X_a)2 (X_b)3 (X_c)1 + (X_a)5 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_a)4 (X_c)2 + (X_0)3 (X_c)3 + (X_c)6

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-2031

a 0 a a a a
0 a a a 0 a
b 0 b b b b
0 b b b 0 b
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b b b 0 b
0 b a a c b
b 0 b b b b
b 0 a a a b
b b 0 0 b 0
b b c c a 0
0 a a a 0 a
0 a b b c a
0 c c c 0 c
0 c 0 0 c c
b a c c b c
b a 0 0 a c
b c a a b a
b c b b a a
a 0 a a a a
a 0 b b b a
a b c c a c
a b 0 0 b c
c 0 c c c c
c 0 0 0 0 c
c b a a c a
c b b b 0 a
a a 0 0 a 0
a a c c b 0
a c b b a b
a c a a b b
c a b b c b
c a a a 0 b
c c 0 0 c 0
c c c c 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 5x3 + 6x4 + 11x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_b)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)2 (X_b)3 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)2 (X_b)3 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-2032

a 0 a a a a
0 a a a 0 a
b 0 b b b b
0 b b b 0 b
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b b b 0 b
0 b a a c a
b 0 b b b b
b 0 a a a a
b b 0 0 b 0
b b c c a c
0 a a a 0 a
0 a b b c b
0 c c c 0 c
0 c 0 0 c 0
b a c c b c
b a 0 0 a 0
b c a a b a
b c b b a b
a 0 a a a a
a 0 b b b b
a b c c a c
a b 0 0 b 0
c 0 c c c c
c 0 0 0 0 0
c b a a c a
c b b b 0 b
a a 0 0 a 0
a a c c b c
a c b b a b
a c a a b a
c a b b c b
c a a a 0 a
c c 0 0 c 0
c c c c 0 c

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 1x2 + 5x3 + 4x4 + 10x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)2 (X_b)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_b)5 + (X_0)1 (X_a)4 (X_b)1 + (X_0)3 (X_b)3 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)2 (X_b)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)1 (X_b)4 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)1 (X_b)4 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)1 (X_c)5 + (X_0)5 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_b)4 (X_c)1 + (X_0)3 (X_a)3 + (X_a)2 (X_b)1 (X_c)3 + (X_a)2 (X_b)3 (X_c)1 + (X_a)4 (X_b)1 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)4 (X_c)1 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-2033

a 0 a a a a
0 a a a a 0
b 0 b b b b
0 b b b b 0
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b b b b 0
0 b a b b 0
b 0 b b b b
b 0 a b b b
b b 0 0 0 b
b b c 0 0 b
0 a a a a 0
0 a b a a 0
0 c c c c 0
0 c 0 c c 0
b a c c c b
b a 0 c c b
b c a a a b
b c b a a b
a 0 a a a a
a 0 b a a a
a b c c c a
a b 0 c c a
c 0 c c c c
c 0 0 c c c
c b a a a c
c b b a a c
a a 0 0 0 a
a a c 0 0 a
a c b b b a
a c a b b a
c a b b b c
c a a b b c
c c 0 0 0 c
c c c 0 0 c

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 0x2 + 4x3 + 9x4 + 7x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)2 (X_b)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_b)5 + (X_0)1 (X_a)1 (X_b)4 + (X_0)3 (X_b)3 + (X_0)2 (X_b)3 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)3 (X_b)2 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)4 (X_b)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_a)3 (X_b)1 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)3 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-2034

a 0 a a a a
0 a a a a 0
b 0 b b b b
0 b b b b 0
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b b b b 0
0 b a b b c
b 0 b b b b
b 0 a b b a
b b 0 0 0 b
b b c 0 0 a
0 a a a a 0
0 a b a a c
0 c c c c 0
0 c 0 c c c
b a c c c b
b a 0 c c a
b c a a a b
b c b a a a
a 0 a a a a
a 0 b a a b
a b c c c a
a b 0 c c b
c 0 c c c c
c 0 0 c c 0
c b a a a c
c b b a a 0
a a 0 0 0 a
a a c 0 0 b
a c b b b a
a c a b b b
c a b b b c
c a a b b 0
c c 0 0 0 c
c c c 0 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 5x3 + 6x4 + 11x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_b)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)3 (X_b)2 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)3 (X_b)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-2035

a 0 a a a a
0 a a a a 0
b 0 b b b b
0 b b b b 0
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b b b b 0
0 b a b a 0
b 0 b b b b
b 0 a b a b
b b 0 0 0 b
b b c 0 c b
0 a a a a 0
0 a b a b 0
0 c c c c 0
0 c 0 c 0 0
b a c c c b
b a 0 c 0 b
b c a a a b
b c b a b b
a 0 a a a a
a 0 b a b a
a b c c c a
a b 0 c 0 a
c 0 c c c c
c 0 0 c 0 c
c b a a a c
c b b a b c
a a 0 0 0 a
a a c 0 c a
a c b b b a
a c a b a a
c a b b b c
c a a b a c
c c 0 0 0 c
c c c 0 c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 2x2 + 4x3 + 7x4 + 8x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_b)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)3 (X_b)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)1 (X_b)4 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)3 (X_b)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_a)3 (X_b)1 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)3 (X_c)2 + (X_a)2 (X_b)3 (X_c)1 + (X_a)4 (X_b)1 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-2036

a 0 a a a a
0 a a a a 0
b 0 b b b b
0 b b b b 0
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b b b b 0
0 b a b a c
b 0 b b b b
b 0 a b a a
b b 0 0 0 b
b b c 0 c a
0 a a a a 0
0 a b a b c
0 c c c c 0
0 c 0 c 0 c
b a c c c b
b a 0 c 0 a
b c a a a b
b c b a b a
a 0 a a a a
a 0 b a b b
a b c c c a
a b 0 c 0 b
c 0 c c c c
c 0 0 c 0 0
c b a a a c
c b b a b 0
a a 0 0 0 a
a a c 0 c b
a c b b b a
a c a b a b
c a b b b c
c a a b a 0
c c 0 0 0 c
c c c 0 c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 5x3 + 6x4 + 11x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_b)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)2 (X_b)3 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)2 (X_b)3 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-2037

a 0 a a a a
0 a a a a 0
b 0 b b b b
0 b b b b 0
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b b b b 0
0 b a a b 0
b 0 b b b b
b 0 a a b b
b b 0 0 0 b
b b c c 0 b
0 a a a a 0
0 a b b a 0
0 c c c c 0
0 c 0 0 c 0
b a c c c b
b a 0 0 c b
b c a a a b
b c b b a b
a 0 a a a a
a 0 b b a a
a b c c c a
a b 0 0 c a
c 0 c c c c
c 0 0 0 c c
c b a a a c
c b b b a c
a a 0 0 0 a
a a c c 0 a
a c b b b a
a c a a b a
c a b b b c
c a a a b c
c c 0 0 0 c
c c c c 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 2x2 + 4x3 + 7x4 + 8x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_b)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)3 (X_b)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)1 (X_b)4 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)3 (X_b)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_a)3 (X_b)1 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)3 (X_c)2 + (X_a)2 (X_b)3 (X_c)1 + (X_a)4 (X_b)1 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-2038

a 0 a a a a
0 a a a a 0
b 0 b b b b
0 b b b b 0
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b b b b 0
0 b a a b c
b 0 b b b b
b 0 a a b a
b b 0 0 0 b
b b c c 0 a
0 a a a a 0
0 a b b a c
0 c c c c 0
0 c 0 0 c c
b a c c c b
b a 0 0 c a
b c a a a b
b c b b a a
a 0 a a a a
a 0 b b a b
a b c c c a
a b 0 0 c b
c 0 c c c c
c 0 0 0 c 0
c b a a a c
c b b b a 0
a a 0 0 0 a
a a c c 0 b
a c b b b a
a c a a b b
c a b b b c
c a a a b 0
c c 0 0 0 c
c c c c 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 5x3 + 6x4 + 11x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)2 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_b)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)3 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)2 (X_b)3 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)3 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)2 (X_b)3 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-2039

a 0 a a a a
0 a a a a 0
b 0 b b b b
0 b b b b 0
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b b b b 0
0 b a a a 0
b 0 b b b b
b 0 a a a b
b b 0 0 0 b
b b c c c b
0 a a a a 0
0 a b b b 0
0 c c c c 0
0 c 0 0 0 0
b a c c c b
b a 0 0 0 b
b c a a a b
b c b b b b
a 0 a a a a
a 0 b b b a
a b c c c a
a b 0 0 0 a
c 0 c c c c
c 0 0 0 0 c
c b a a a c
c b b b b c
a a 0 0 0 a
a a c c c a
a c b b b a
a c a a a a
c a b b b c
c a a a a c
c c 0 0 0 c
c c c c c c

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 1x2 + 6x3 + 5x4 + 5x5 + 13x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)2 (X_b)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_b)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)3 (X_b)3 + (X_b)3 (X_c)3 + (X_0)2 (X_a)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)1 (X_b)2 + (X_a)3 (X_b)2 (X_c)1 + (X_b)5 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)2 (X_b)3 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_b)4 (X_c)2 + (X_0)3 (X_a)3 + (X_a)3 (X_c)3 + (X_a)2 (X_b)3 (X_c)1 + (X_a)5 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_a)4 (X_c)2 + (X_0)3 (X_c)3 + (X_c)6

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-2040

a 0 a a a a
0 a a a a 0
b 0 b b b b
0 b b b b 0
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b b b b 0
0 b a a a c
b 0 b b b b
b 0 a a a a
b b 0 0 0 b
b b c c c a
0 a a a a 0
0 a b b b c
0 c c c c 0
0 c 0 0 0 c
b a c c c b
b a 0 0 0 a
b c a a a b
b c b b b a
a 0 a a a a
a 0 b b b b
a b c c c a
a b 0 0 0 b
c 0 c c c c
c 0 0 0 0 0
c b a a a c
c b b b b 0
a a 0 0 0 a
a a c c c b
a c b b b a
a c a a a b
c a b b b c
c a a a a 0
c c 0 0 0 c
c c c c c 0

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 1x2 + 5x3 + 4x4 + 10x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)2 (X_b)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_b)5 + (X_0)1 (X_a)4 (X_b)1 + (X_0)3 (X_b)3 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)2 (X_b)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)1 (X_b)4 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)1 (X_b)4 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)1 (X_c)5 + (X_0)5 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_b)4 (X_c)1 + (X_0)3 (X_a)3 + (X_a)2 (X_b)1 (X_c)3 + (X_a)2 (X_b)3 (X_c)1 + (X_a)4 (X_b)1 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)4 (X_c)1 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-2041

a 0 a a a a
0 a a a a a
b 0 b b b b
0 b b b b b
0 0 c 0 0 0

Codewords:

0 0 0 0 0 0
0 0 c 0 0 0
0 b b b b b
0 b a b b b
b 0 b b b b
b 0 a b b b
b b 0 0 0 0
b b c 0 0 0
0 a a a a a
0 a b a a a
0 c c c c c
0 c 0 c c c
b a c c c c
b a 0 c c c
b c a a a a
b c b a a a
a 0 a a a a
a 0 b a a a
a b c c c c
a b 0 c c c
c 0 c c c c
c 0 0 c c c
c b a a a a
c b b a a a
a a 0 0 0 0
a a c 0 0 0
a c b b b b
a c a b b b
c a b b b b
c a a b b b
c c 0 0 0 0
c c c 0 0 0

dmin: 1
Weight Enumerator: 1x0 + 1x1 + 3x2 + 3x3 + 2x4 + 12x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)1 (X_b)5 + (X_0)1 (X_a)1 (X_b)4 + (X_0)1 (X_b)5 + (X_0)1 (X_a)1 (X_b)4 + (X_0)4 (X_b)2 + (X_0)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)4 (X_b)1 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_a)1 (X_b)1 (X_c)4 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_a)4 (X_b)1 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)4 (X_b)1 + (X_a)1 (X_b)1 (X_c)4 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_a)4 (X_b)1 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)4 (X_a)2 + (X_0)3 (X_a)2 (X_c)1 + (X_a)1 (X_b)4 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)1 (X_b)4 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-2042

a 0 a a a a
0 a a a a a
b 0 b b b b
0 b b b b b
0 0 c 0 0 c

Codewords:

0 0 0 0 0 0
0 0 c 0 0 c
0 b b b b b
0 b a b b a
b 0 b b b b
b 0 a b b a
b b 0 0 0 0
b b c 0 0 c
0 a a a a a
0 a b a a b
0 c c c c c
0 c 0 c c 0
b a c c c c
b a 0 c c 0
b c a a a a
b c b a a b
a 0 a a a a
a 0 b a a b
a b c c c c
a b 0 c c 0
c 0 c c c c
c 0 0 c c 0
c b a a a a
c b b a a b
a a 0 0 0 0
a a c 0 0 c
a c b b b b
a c a b b a
c a b b b b
c a a b b a
c c 0 0 0 0
c c c 0 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 2x3 + 5x4 + 10x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)1 (X_b)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_b)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_a)1 (X_b)1 (X_c)4 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_a)4 (X_b)1 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)3 (X_b)2 + (X_a)1 (X_b)1 (X_c)4 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_a)4 (X_b)1 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_a)1 (X_b)4 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)1 (X_b)4 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-2043

a 0 a a a a
0 a a a a a
b 0 b b b b
0 b b b b b
0 0 c 0 c 0

Codewords:

0 0 0 0 0 0
0 0 c 0 c 0
0 b b b b b
0 b a b a b
b 0 b b b b
b 0 a b a b
b b 0 0 0 0
b b c 0 c 0
0 a a a a a
0 a b a b a
0 c c c c c
0 c 0 c 0 c
b a c c c c
b a 0 c 0 c
b c a a a a
b c b a b a
a 0 a a a a
a 0 b a b a
a b c c c c
a b 0 c 0 c
c 0 c c c c
c 0 0 c 0 c
c b a a a a
c b b a b a
a a 0 0 0 0
a a c 0 c 0
a c b b b b
a c a b a b
c a b b b b
c a a b a b
c c 0 0 0 0
c c c 0 c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 2x3 + 5x4 + 10x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)1 (X_b)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_b)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_a)1 (X_b)1 (X_c)4 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_a)4 (X_b)1 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)3 (X_b)2 + (X_a)1 (X_b)1 (X_c)4 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_a)4 (X_b)1 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_a)1 (X_b)4 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)1 (X_b)4 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-2044

a 0 a a a a
0 a a a a a
b 0 b b b b
0 b b b b b
0 0 c 0 c c

Codewords:

0 0 0 0 0 0
0 0 c 0 c c
0 b b b b b
0 b a b a a
b 0 b b b b
b 0 a b a a
b b 0 0 0 0
b b c 0 c c
0 a a a a a
0 a b a b b
0 c c c c c
0 c 0 c 0 0
b a c c c c
b a 0 c 0 0
b c a a a a
b c b a b b
a 0 a a a a
a 0 b a b b
a b c c c c
a b 0 c 0 0
c 0 c c c c
c 0 0 c 0 0
c b a a a a
c b b a b b
a a 0 0 0 0
a a c 0 c c
a c b b b b
a c a b a a
c a b b b b
c a a b a a
c c 0 0 0 0
c c c 0 c c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 5x2 + 3x3 + 0x4 + 13x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)1 (X_b)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_b)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)4 (X_b)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2 + (X_a)1 (X_b)1 (X_c)4 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_a)4 (X_b)1 (X_c)1 + (X_a)1 (X_b)4 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)2 (X_b)3 + (X_a)1 (X_b)1 (X_c)4 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2 + (X_a)4 (X_b)1 (X_c)1 + (X_a)1 (X_b)4 (X_c)1 + (X_0)4 (X_a)2 + (X_0)1 (X_a)2 (X_c)3 + (X_a)1 (X_b)4 (X_c)1 + (X_a)4 (X_b)1 (X_c)1 + (X_a)1 (X_b)4 (X_c)1 + (X_a)4 (X_b)1 (X_c)1 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-2045

a 0 a a a a
0 a a a a a
b 0 b b b b
0 b b b b b
0 0 c c 0 0

Codewords:

0 0 0 0 0 0
0 0 c c 0 0
0 b b b b b
0 b a a b b
b 0 b b b b
b 0 a a b b
b b 0 0 0 0
b b c c 0 0
0 a a a a a
0 a b b a a
0 c c c c c
0 c 0 0 c c
b a c c c c
b a 0 0 c c
b c a a a a
b c b b a a
a 0 a a a a
a 0 b b a a
a b c c c c
a b 0 0 c c
c 0 c c c c
c 0 0 0 c c
c b a a a a
c b b b a a
a a 0 0 0 0
a a c c 0 0
a c b b b b
a c a a b b
c a b b b b
c a a a b b
c c 0 0 0 0
c c c c 0 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 2x3 + 5x4 + 10x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)1 (X_b)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_b)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_a)1 (X_b)1 (X_c)4 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_a)4 (X_b)1 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)3 (X_b)2 + (X_a)1 (X_b)1 (X_c)4 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_a)4 (X_b)1 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_a)1 (X_b)4 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)1 (X_b)4 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-2046

a 0 a a a a
0 a a a a a
b 0 b b b b
0 b b b b b
0 0 c c 0 c

Codewords:

0 0 0 0 0 0
0 0 c c 0 c
0 b b b b b
0 b a a b a
b 0 b b b b
b 0 a a b a
b b 0 0 0 0
b b c c 0 c
0 a a a a a
0 a b b a b
0 c c c c c
0 c 0 0 c 0
b a c c c c
b a 0 0 c 0
b c a a a a
b c b b a b
a 0 a a a a
a 0 b b a b
a b c c c c
a b 0 0 c 0
c 0 c c c c
c 0 0 0 c 0
c b a a a a
c b b b a b
a a 0 0 0 0
a a c c 0 c
a c b b b b
a c a a b a
c a b b b b
c a a a b a
c c 0 0 0 0
c c c c 0 c

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 5x2 + 3x3 + 0x4 + 13x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)1 (X_b)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_b)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)4 (X_b)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2 + (X_a)1 (X_b)1 (X_c)4 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_a)4 (X_b)1 (X_c)1 + (X_a)1 (X_b)4 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)2 (X_b)3 + (X_a)1 (X_b)1 (X_c)4 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2 + (X_a)4 (X_b)1 (X_c)1 + (X_a)1 (X_b)4 (X_c)1 + (X_0)4 (X_a)2 + (X_0)1 (X_a)2 (X_c)3 + (X_a)1 (X_b)4 (X_c)1 + (X_a)4 (X_b)1 (X_c)1 + (X_a)1 (X_b)4 (X_c)1 + (X_a)4 (X_b)1 (X_c)1 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-2047

a 0 a a a a
0 a a a a a
b 0 b b b b
0 b b b b b
0 0 c c c 0

Codewords:

0 0 0 0 0 0
0 0 c c c 0
0 b b b b b
0 b a a a b
b 0 b b b b
b 0 a a a b
b b 0 0 0 0
b b c c c 0
0 a a a a a
0 a b b b a
0 c c c c c
0 c 0 0 0 c
b a c c c c
b a 0 0 0 c
b c a a a a
b c b b b a
a 0 a a a a
a 0 b b b a
a b c c c c
a b 0 0 0 c
c 0 c c c c
c 0 0 0 0 c
c b a a a a
c b b b b a
a a 0 0 0 0
a a c c c 0
a c b b b b
a c a a a b
c a b b b b
c a a a a b
c c 0 0 0 0
c c c c c 0

dmin: 2
Weight Enumerator: 1x0 + 0x1 + 5x2 + 3x3 + 0x4 + 13x5 + 10x6
Complete Weight Enumerator: (X_0)6 + (X_0)3 (X_c)3 + (X_0)1 (X_b)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_b)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)4 (X_b)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2 + (X_a)1 (X_b)1 (X_c)4 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_a)4 (X_b)1 (X_c)1 + (X_a)1 (X_b)4 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)2 (X_b)3 + (X_a)1 (X_b)1 (X_c)4 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2 + (X_a)4 (X_b)1 (X_c)1 + (X_a)1 (X_b)4 (X_c)1 + (X_0)4 (X_a)2 + (X_0)1 (X_a)2 (X_c)3 + (X_a)1 (X_b)4 (X_c)1 + (X_a)4 (X_b)1 (X_c)1 + (X_a)1 (X_b)4 (X_c)1 + (X_a)4 (X_b)1 (X_c)1 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No

Generator Matrix-2048

a 0 a a a a
0 a a a a a
b 0 b b b b
0 b b b b b
0 0 c c c c

Codewords:

0 0 0 0 0 0
0 0 c c c c
0 b b b b b
0 b a a a a
b 0 b b b b
b 0 a a a a
b b 0 0 0 0
b b c c c c
0 a a a a a
0 a b b b b
0 c c c c c
0 c 0 0 0 0
b a c c c c
b a 0 0 0 0
b c a a a a
b c b b b b
a 0 a a a a
a 0 b b b b
a b c c c c
a b 0 0 0 0
c 0 c c c c
c 0 0 0 0 0
c b a a a a
c b b b b b
a a 0 0 0 0
a a c c c c
a c b b b b
a c a a a a
c a b b b b
c a a a a a
c c 0 0 0 0
c c c c c c

dmin: 1
Weight Enumerator: 1x0 + 2x1 + 5x2 + 0x3 + 1x4 + 10x5 + 13x6
Complete Weight Enumerator: (X_0)6 + (X_0)2 (X_c)4 + (X_0)1 (X_b)5 + (X_0)1 (X_a)4 (X_b)1 + (X_0)1 (X_b)5 + (X_0)1 (X_a)4 (X_b)1 + (X_0)4 (X_b)2 + (X_b)2 (X_c)4 + (X_0)1 (X_a)5 + (X_0)1 (X_a)1 (X_b)4 + (X_0)1 (X_c)5 + (X_0)5 (X_c)1 + (X_a)1 (X_b)1 (X_c)4 + (X_0)4 (X_a)1 (X_b)1 + (X_a)4 (X_b)1 (X_c)1 + (X_b)5 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)1 (X_b)4 + (X_a)1 (X_b)1 (X_c)4 + (X_0)4 (X_a)1 (X_b)1 + (X_0)1 (X_c)5 + (X_0)5 (X_c)1 + (X_a)4 (X_b)1 (X_c)1 + (X_b)5 (X_c)1 + (X_0)4 (X_a)2 + (X_a)2 (X_c)4 + (X_a)1 (X_b)4 (X_c)1 + (X_a)5 (X_c)1 + (X_a)1 (X_b)4 (X_c)1 + (X_a)5 (X_c)1 + (X_0)4 (X_c)2 + (X_c)6

Dual Codewords:

0 0 0 0 0 0

Is it a nice code?: No