n=5, k0=1, k1=1
Optimal Minimum Distance: 3
Generator Matrices that generate Codes having Optimal Minimum Distance: 30, 31, 32, 44, 47, 48, 52, 54, 56, 60, 62, 63, 79, 80, 86, 88, 94, 95, 100, 104, 108, 111, 116, 118,
Total No. of Codes having Optimal Minimum Distance: 24
Generator Matrices that generate Nice Codes : None
Total No. of Nice Codes: 0
Generator Matrix-1
a 0 0 0 0
b 0 0 0 0
0 c 0 0 0
Codewords:
0 0 0 0 0
0 c 0 0 0
b 0 0 0 0
b c 0 0 0
a 0 0 0 0
a c 0 0 0
c 0 0 0 0
c c 0 0 0
dmin: 1
Weight Enumerator: 1x0 + 4x1 + 3x2 + 0x3 + 0x4 + 0x5
Complete Weight Enumerator: (X_0)5 + (X_0)4 (X_c)1 + (X_0)4 (X_b)1 + (X_0)3 (X_b)1 (X_c)1 + (X_0)4 (X_a)1 + (X_0)3 (X_a)1 (X_c)1 + (X_0)4 (X_c)1 + (X_0)3 (X_c)2
Dual Codewords:
0 0 0 0 0
0 0 0 0 a
0 0 0 0 b
0 0 0 0 c
0 0 0 a 0
0 0 0 a a
0 0 0 a b
0 0 0 a c
0 0 0 b 0
0 0 0 b a
0 0 0 b b
0 0 0 b c
0 0 0 c 0
0 0 0 c a
0 0 0 c b
0 0 0 c c
0 0 a 0 0
0 0 a 0 a
0 0 a 0 b
0 0 a 0 c
0 0 a a 0
0 0 a a a
0 0 a a b
0 0 a a c
0 0 a b 0
0 0 a b a
0 0 a b b
0 0 a b c
0 0 a c 0
0 0 a c a
0 0 a c b
0 0 a c c
0 0 b 0 0
0 0 b 0 a
0 0 b 0 b
0 0 b 0 c
0 0 b a 0
0 0 b a a
0 0 b a b
0 0 b a c
0 0 b b 0
0 0 b b a
0 0 b b b
0 0 b b c
0 0 b c 0
0 0 b c a
0 0 b c b
0 0 b c c
0 0 c 0 0
0 0 c 0 a
0 0 c 0 b
0 0 c 0 c
0 0 c a 0
0 0 c a a
0 0 c a b
0 0 c a c
0 0 c b 0
0 0 c b a
0 0 c b b
0 0 c b c
0 0 c c 0
0 0 c c a
0 0 c c b
0 0 c c c
0 a 0 0 0
0 a 0 0 a
0 a 0 0 b
0 a 0 0 c
0 a 0 a 0
0 a 0 a a
0 a 0 a b
0 a 0 a c
0 a 0 b 0
0 a 0 b a
0 a 0 b b
0 a 0 b c
0 a 0 c 0
0 a 0 c a
0 a 0 c b
0 a 0 c c
0 a a 0 0
0 a a 0 a
0 a a 0 b
0 a a 0 c
0 a a a 0
0 a a a a
0 a a a b
0 a a a c
0 a a b 0
0 a a b a
0 a a b b
0 a a b c
0 a a c 0
0 a a c a
0 a a c b
0 a a c c
0 a b 0 0
0 a b 0 a
0 a b 0 b
0 a b 0 c
0 a b a 0
0 a b a a
0 a b a b
0 a b a c
0 a b b 0
0 a b b a
0 a b b b
0 a b b c
0 a b c 0
0 a b c a
0 a b c b
0 a b c c
0 a c 0 0
0 a c 0 a
0 a c 0 b
0 a c 0 c
0 a c a 0
0 a c a a
0 a c a b
0 a c a c
0 a c b 0
0 a c b a
0 a c b b
0 a c b c
0 a c c 0
0 a c c a
0 a c c b
0 a c c c
0 b 0 0 0
0 b 0 0 a
0 b 0 0 b
0 b 0 0 c
0 b 0 a 0
0 b 0 a a
0 b 0 a b
0 b 0 a c
0 b 0 b 0
0 b 0 b a
0 b 0 b b
0 b 0 b c
0 b 0 c 0
0 b 0 c a
0 b 0 c b
0 b 0 c c
0 b a 0 0
0 b a 0 a
0 b a 0 b
0 b a 0 c
0 b a a 0
0 b a a a
0 b a a b
0 b a a c
0 b a b 0
0 b a b a
0 b a b b
0 b a b c
0 b a c 0
0 b a c a
0 b a c b
0 b a c c
0 b b 0 0
0 b b 0 a
0 b b 0 b
0 b b 0 c
0 b b a 0
0 b b a a
0 b b a b
0 b b a c
0 b b b 0
0 b b b a
0 b b b b
0 b b b c
0 b b c 0
0 b b c a
0 b b c b
0 b b c c
0 b c 0 0
0 b c 0 a
0 b c 0 b
0 b c 0 c
0 b c a 0
0 b c a a
0 b c a b
0 b c a c
0 b c b 0
0 b c b a
0 b c b b
0 b c b c
0 b c c 0
0 b c c a
0 b c c b
0 b c c c
0 c 0 0 0
0 c 0 0 a
0 c 0 0 b
0 c 0 0 c
0 c 0 a 0
0 c 0 a a
0 c 0 a b
0 c 0 a c
0 c 0 b 0
0 c 0 b a
0 c 0 b b
0 c 0 b c
0 c 0 c 0
0 c 0 c a
0 c 0 c b
0 c 0 c c
0 c a 0 0
0 c a 0 a
0 c a 0 b
0 c a 0 c
0 c a a 0
0 c a a a
0 c a a b
0 c a a c
0 c a b 0
0 c a b a
0 c a b b
0 c a b c
0 c a c 0
0 c a c a
0 c a c b
0 c a c c
0 c b 0 0
0 c b 0 a
0 c b 0 b
0 c b 0 c
0 c b a 0
0 c b a a
0 c b a b
0 c b a c
0 c b b 0
0 c b b a
0 c b b b
0 c b b c
0 c b c 0
0 c b c a
0 c b c b
0 c b c c
0 c c 0 0
0 c c 0 a
0 c c 0 b
0 c c 0 c
0 c c a 0
0 c c a a
0 c c a b
0 c c a c
0 c c b 0
0 c c b a
0 c c b b
0 c c b c
0 c c c 0
0 c c c a
0 c c c b
0 c c c c
Is it a nice code?: No
Generator Matrix-2
a 0 0 0 0
b 0 0 0 0
0 c 0 0 c
Codewords:
0 0 0 0 0
0 c 0 0 c
b 0 0 0 0
b c 0 0 c
a 0 0 0 0
a c 0 0 c
c 0 0 0 0
c c 0 0 c
dmin: 1
Weight Enumerator: 1x0 + 3x1 + 1x2 + 3x3 + 0x4 + 0x5
Complete Weight Enumerator: (X_0)5 + (X_0)3 (X_c)2 + (X_0)4 (X_b)1 + (X_0)2 (X_b)1 (X_c)2 + (X_0)4 (X_a)1 + (X_0)2 (X_a)1 (X_c)2 + (X_0)4 (X_c)1 + (X_0)2 (X_c)3
Dual Codewords:
0 0 0 0 0
0 0 0 0 a
0 0 0 0 b
0 0 0 0 c
0 0 0 a 0
0 0 0 a a
0 0 0 a b
0 0 0 a c
0 0 0 b 0
0 0 0 b a
0 0 0 b b
0 0 0 b c
0 0 0 c 0
0 0 0 c a
0 0 0 c b
0 0 0 c c
0 0 a 0 0
0 0 a 0 a
0 0 a 0 b
0 0 a 0 c
0 0 a a 0
0 0 a a a
0 0 a a b
0 0 a a c
0 0 a b 0
0 0 a b a
0 0 a b b
0 0 a b c
0 0 a c 0
0 0 a c a
0 0 a c b
0 0 a c c
0 0 b 0 0
0 0 b 0 a
0 0 b 0 b
0 0 b 0 c
0 0 b a 0
0 0 b a a
0 0 b a b
0 0 b a c
0 0 b b 0
0 0 b b a
0 0 b b b
0 0 b b c
0 0 b c 0
0 0 b c a
0 0 b c b
0 0 b c c
0 0 c 0 0
0 0 c 0 a
0 0 c 0 b
0 0 c 0 c
0 0 c a 0
0 0 c a a
0 0 c a b
0 0 c a c
0 0 c b 0
0 0 c b a
0 0 c b b
0 0 c b c
0 0 c c 0
0 0 c c a
0 0 c c b
0 0 c c c
0 a 0 0 0
0 a 0 0 a
0 a 0 0 b
0 a 0 0 c
0 a 0 a 0
0 a 0 a a
0 a 0 a b
0 a 0 a c
0 a 0 b 0
0 a 0 b a
0 a 0 b b
0 a 0 b c
0 a 0 c 0
0 a 0 c a
0 a 0 c b
0 a 0 c c
0 a a 0 0
0 a a 0 a
0 a a 0 b
0 a a 0 c
0 a a a 0
0 a a a a
0 a a a b
0 a a a c
0 a a b 0
0 a a b a
0 a a b b
0 a a b c
0 a a c 0
0 a a c a
0 a a c b
0 a a c c
0 a b 0 0
0 a b 0 a
0 a b 0 b
0 a b 0 c
0 a b a 0
0 a b a a
0 a b a b
0 a b a c
0 a b b 0
0 a b b a
0 a b b b
0 a b b c
0 a b c 0
0 a b c a
0 a b c b
0 a b c c
0 a c 0 0
0 a c 0 a
0 a c 0 b
0 a c 0 c
0 a c a 0
0 a c a a
0 a c a b
0 a c a c
0 a c b 0
0 a c b a
0 a c b b
0 a c b c
0 a c c 0
0 a c c a
0 a c c b
0 a c c c
0 b 0 0 0
0 b 0 0 a
0 b 0 0 b
0 b 0 0 c
0 b 0 a 0
0 b 0 a a
0 b 0 a b
0 b 0 a c
0 b 0 b 0
0 b 0 b a
0 b 0 b b
0 b 0 b c
0 b 0 c 0
0 b 0 c a
0 b 0 c b
0 b 0 c c
0 b a 0 0
0 b a 0 a
0 b a 0 b
0 b a 0 c
0 b a a 0
0 b a a a
0 b a a b
0 b a a c
0 b a b 0
0 b a b a
0 b a b b
0 b a b c
0 b a c 0
0 b a c a
0 b a c b
0 b a c c
0 b b 0 0
0 b b 0 a
0 b b 0 b
0 b b 0 c
0 b b a 0
0 b b a a
0 b b a b
0 b b a c
0 b b b 0
0 b b b a
0 b b b b
0 b b b c
0 b b c 0
0 b b c a
0 b b c b
0 b b c c
0 b c 0 0
0 b c 0 a
0 b c 0 b
0 b c 0 c
0 b c a 0
0 b c a a
0 b c a b
0 b c a c
0 b c b 0
0 b c b a
0 b c b b
0 b c b c
0 b c c 0
0 b c c a
0 b c c b
0 b c c c
0 c 0 0 0
0 c 0 0 a
0 c 0 0 b
0 c 0 0 c
0 c 0 a 0
0 c 0 a a
0 c 0 a b
0 c 0 a c
0 c 0 b 0
0 c 0 b a
0 c 0 b b
0 c 0 b c
0 c 0 c 0
0 c 0 c a
0 c 0 c b
0 c 0 c c
0 c a 0 0
0 c a 0 a
0 c a 0 b
0 c a 0 c
0 c a a 0
0 c a a a
0 c a a b
0 c a a c
0 c a b 0
0 c a b a
0 c a b b
0 c a b c
0 c a c 0
0 c a c a
0 c a c b
0 c a c c
0 c b 0 0
0 c b 0 a
0 c b 0 b
0 c b 0 c
0 c b a 0
0 c b a a
0 c b a b
0 c b a c
0 c b b 0
0 c b b a
0 c b b b
0 c b b c
0 c b c 0
0 c b c a
0 c b c b
0 c b c c
0 c c 0 0
0 c c 0 a
0 c c 0 b
0 c c 0 c
0 c c a 0
0 c c a a
0 c c a b
0 c c a c
0 c c b 0
0 c c b a
0 c c b b
0 c c b c
0 c c c 0
0 c c c a
0 c c c b
0 c c c c
Is it a nice code?: No
Generator Matrix-3
a 0 0 0 0
b 0 0 0 0
0 c 0 c 0
Codewords:
0 0 0 0 0
0 c 0 c 0
b 0 0 0 0
b c 0 c 0
a 0 0 0 0
a c 0 c 0
c 0 0 0 0
c c 0 c 0
dmin: 1
Weight Enumerator: 1x0 + 3x1 + 1x2 + 3x3 + 0x4 + 0x5
Complete Weight Enumerator: (X_0)5 + (X_0)3 (X_c)2 + (X_0)4 (X_b)1 + (X_0)2 (X_b)1 (X_c)2 + (X_0)4 (X_a)1 + (X_0)2 (X_a)1 (X_c)2 + (X_0)4 (X_c)1 + (X_0)2 (X_c)3
Dual Codewords:
0 0 0 0 0
0 0 0 0 a
0 0 0 0 b
0 0 0 0 c
0 0 0 a 0
0 0 0 a a
0 0 0 a b
0 0 0 a c
0 0 0 b 0
0 0 0 b a
0 0 0 b b
0 0 0 b c
0 0 0 c 0
0 0 0 c a
0 0 0 c b
0 0 0 c c
0 0 a 0 0
0 0 a 0 a
0 0 a 0 b
0 0 a 0 c
0 0 a a 0
0 0 a a a
0 0 a a b
0 0 a a c
0 0 a b 0
0 0 a b a
0 0 a b b
0 0 a b c
0 0 a c 0
0 0 a c a
0 0 a c b
0 0 a c c
0 0 b 0 0
0 0 b 0 a
0 0 b 0 b
0 0 b 0 c
0 0 b a 0
0 0 b a a
0 0 b a b
0 0 b a c
0 0 b b 0
0 0 b b a
0 0 b b b
0 0 b b c
0 0 b c 0
0 0 b c a
0 0 b c b
0 0 b c c
0 0 c 0 0
0 0 c 0 a
0 0 c 0 b
0 0 c 0 c
0 0 c a 0
0 0 c a a
0 0 c a b
0 0 c a c
0 0 c b 0
0 0 c b a
0 0 c b b
0 0 c b c
0 0 c c 0
0 0 c c a
0 0 c c b
0 0 c c c
0 a 0 0 0
0 a 0 0 a
0 a 0 0 b
0 a 0 0 c
0 a 0 a 0
0 a 0 a a
0 a 0 a b
0 a 0 a c
0 a 0 b 0
0 a 0 b a
0 a 0 b b
0 a 0 b c
0 a 0 c 0
0 a 0 c a
0 a 0 c b
0 a 0 c c
0 a a 0 0
0 a a 0 a
0 a a 0 b
0 a a 0 c
0 a a a 0
0 a a a a
0 a a a b
0 a a a c
0 a a b 0
0 a a b a
0 a a b b
0 a a b c
0 a a c 0
0 a a c a
0 a a c b
0 a a c c
0 a b 0 0
0 a b 0 a
0 a b 0 b
0 a b 0 c
0 a b a 0
0 a b a a
0 a b a b
0 a b a c
0 a b b 0
0 a b b a
0 a b b b
0 a b b c
0 a b c 0
0 a b c a
0 a b c b
0 a b c c
0 a c 0 0
0 a c 0 a
0 a c 0 b
0 a c 0 c
0 a c a 0
0 a c a a
0 a c a b
0 a c a c
0 a c b 0
0 a c b a
0 a c b b
0 a c b c
0 a c c 0
0 a c c a
0 a c c b
0 a c c c
0 b 0 0 0
0 b 0 0 a
0 b 0 0 b
0 b 0 0 c
0 b 0 a 0
0 b 0 a a
0 b 0 a b
0 b 0 a c
0 b 0 b 0
0 b 0 b a
0 b 0 b b
0 b 0 b c
0 b 0 c 0
0 b 0 c a
0 b 0 c b
0 b 0 c c
0 b a 0 0
0 b a 0 a
0 b a 0 b
0 b a 0 c
0 b a a 0
0 b a a a
0 b a a b
0 b a a c
0 b a b 0
0 b a b a
0 b a b b
0 b a b c
0 b a c 0
0 b a c a
0 b a c b
0 b a c c
0 b b 0 0
0 b b 0 a
0 b b 0 b
0 b b 0 c
0 b b a 0
0 b b a a
0 b b a b
0 b b a c
0 b b b 0
0 b b b a
0 b b b b
0 b b b c
0 b b c 0
0 b b c a
0 b b c b
0 b b c c
0 b c 0 0
0 b c 0 a
0 b c 0 b
0 b c 0 c
0 b c a 0
0 b c a a
0 b c a b
0 b c a c
0 b c b 0
0 b c b a
0 b c b b
0 b c b c
0 b c c 0
0 b c c a
0 b c c b
0 b c c c
0 c 0 0 0
0 c 0 0 a
0 c 0 0 b
0 c 0 0 c
0 c 0 a 0
0 c 0 a a
0 c 0 a b
0 c 0 a c
0 c 0 b 0
0 c 0 b a
0 c 0 b b
0 c 0 b c
0 c 0 c 0
0 c 0 c a
0 c 0 c b
0 c 0 c c
0 c a 0 0
0 c a 0 a
0 c a 0 b
0 c a 0 c
0 c a a 0
0 c a a a
0 c a a b
0 c a a c
0 c a b 0
0 c a b a
0 c a b b
0 c a b c
0 c a c 0
0 c a c a
0 c a c b
0 c a c c
0 c b 0 0
0 c b 0 a
0 c b 0 b
0 c b 0 c
0 c b a 0
0 c b a a
0 c b a b
0 c b a c
0 c b b 0
0 c b b a
0 c b b b
0 c b b c
0 c b c 0
0 c b c a
0 c b c b
0 c b c c
0 c c 0 0
0 c c 0 a
0 c c 0 b
0 c c 0 c
0 c c a 0
0 c c a a
0 c c a b
0 c c a c
0 c c b 0
0 c c b a
0 c c b b
0 c c b c
0 c c c 0
0 c c c a
0 c c c b
0 c c c c
Is it a nice code?: No
Generator Matrix-4
a 0 0 0 0
b 0 0 0 0
0 c 0 c c
Codewords:
0 0 0 0 0
0 c 0 c c
b 0 0 0 0
b c 0 c c
a 0 0 0 0
a c 0 c c
c 0 0 0 0
c c 0 c c
dmin: 1
Weight Enumerator: 1x0 + 3x1 + 0x2 + 1x3 + 3x4 + 0x5
Complete Weight Enumerator: (X_0)5 + (X_0)2 (X_c)3 + (X_0)4 (X_b)1 + (X_0)1 (X_b)1 (X_c)3 + (X_0)4 (X_a)1 + (X_0)1 (X_a)1 (X_c)3 + (X_0)4 (X_c)1 + (X_0)1 (X_c)4
Dual Codewords:
0 0 0 0 0
0 0 0 0 a
0 0 0 0 b
0 0 0 0 c
0 0 0 a 0
0 0 0 a a
0 0 0 a b
0 0 0 a c
0 0 0 b 0
0 0 0 b a
0 0 0 b b
0 0 0 b c
0 0 0 c 0
0 0 0 c a
0 0 0 c b
0 0 0 c c
0 0 a 0 0
0 0 a 0 a
0 0 a 0 b
0 0 a 0 c
0 0 a a 0
0 0 a a a
0 0 a a b
0 0 a a c
0 0 a b 0
0 0 a b a
0 0 a b b
0 0 a b c
0 0 a c 0
0 0 a c a
0 0 a c b
0 0 a c c
0 0 b 0 0
0 0 b 0 a
0 0 b 0 b
0 0 b 0 c
0 0 b a 0
0 0 b a a
0 0 b a b
0 0 b a c
0 0 b b 0
0 0 b b a
0 0 b b b
0 0 b b c
0 0 b c 0
0 0 b c a
0 0 b c b
0 0 b c c
0 0 c 0 0
0 0 c 0 a
0 0 c 0 b
0 0 c 0 c
0 0 c a 0
0 0 c a a
0 0 c a b
0 0 c a c
0 0 c b 0
0 0 c b a
0 0 c b b
0 0 c b c
0 0 c c 0
0 0 c c a
0 0 c c b
0 0 c c c
0 a 0 0 0
0 a 0 0 a
0 a 0 0 b
0 a 0 0 c
0 a 0 a 0
0 a 0 a a
0 a 0 a b
0 a 0 a c
0 a 0 b 0
0 a 0 b a
0 a 0 b b
0 a 0 b c
0 a 0 c 0
0 a 0 c a
0 a 0 c b
0 a 0 c c
0 a a 0 0
0 a a 0 a
0 a a 0 b
0 a a 0 c
0 a a a 0
0 a a a a
0 a a a b
0 a a a c
0 a a b 0
0 a a b a
0 a a b b
0 a a b c
0 a a c 0
0 a a c a
0 a a c b
0 a a c c
0 a b 0 0
0 a b 0 a
0 a b 0 b
0 a b 0 c
0 a b a 0
0 a b a a
0 a b a b
0 a b a c
0 a b b 0
0 a b b a
0 a b b b
0 a b b c
0 a b c 0
0 a b c a
0 a b c b
0 a b c c
0 a c 0 0
0 a c 0 a
0 a c 0 b
0 a c 0 c
0 a c a 0
0 a c a a
0 a c a b
0 a c a c
0 a c b 0
0 a c b a
0 a c b b
0 a c b c
0 a c c 0
0 a c c a
0 a c c b
0 a c c c
0 b 0 0 0
0 b 0 0 a
0 b 0 0 b
0 b 0 0 c
0 b 0 a 0
0 b 0 a a
0 b 0 a b
0 b 0 a c
0 b 0 b 0
0 b 0 b a
0 b 0 b b
0 b 0 b c
0 b 0 c 0
0 b 0 c a
0 b 0 c b
0 b 0 c c
0 b a 0 0
0 b a 0 a
0 b a 0 b
0 b a 0 c
0 b a a 0
0 b a a a
0 b a a b
0 b a a c
0 b a b 0
0 b a b a
0 b a b b
0 b a b c
0 b a c 0
0 b a c a
0 b a c b
0 b a c c
0 b b 0 0
0 b b 0 a
0 b b 0 b
0 b b 0 c
0 b b a 0
0 b b a a
0 b b a b
0 b b a c
0 b b b 0
0 b b b a
0 b b b b
0 b b b c
0 b b c 0
0 b b c a
0 b b c b
0 b b c c
0 b c 0 0
0 b c 0 a
0 b c 0 b
0 b c 0 c
0 b c a 0
0 b c a a
0 b c a b
0 b c a c
0 b c b 0
0 b c b a
0 b c b b
0 b c b c
0 b c c 0
0 b c c a
0 b c c b
0 b c c c
0 c 0 0 0
0 c 0 0 a
0 c 0 0 b
0 c 0 0 c
0 c 0 a 0
0 c 0 a a
0 c 0 a b
0 c 0 a c
0 c 0 b 0
0 c 0 b a
0 c 0 b b
0 c 0 b c
0 c 0 c 0
0 c 0 c a
0 c 0 c b
0 c 0 c c
0 c a 0 0
0 c a 0 a
0 c a 0 b
0 c a 0 c
0 c a a 0
0 c a a a
0 c a a b
0 c a a c
0 c a b 0
0 c a b a
0 c a b b
0 c a b c
0 c a c 0
0 c a c a
0 c a c b
0 c a c c
0 c b 0 0
0 c b 0 a
0 c b 0 b
0 c b 0 c
0 c b a 0
0 c b a a
0 c b a b
0 c b a c
0 c b b 0
0 c b b a
0 c b b b
0 c b b c
0 c b c 0
0 c b c a
0 c b c b
0 c b c c
0 c c 0 0
0 c c 0 a
0 c c 0 b
0 c c 0 c
0 c c a 0
0 c c a a
0 c c a b
0 c c a c
0 c c b 0
0 c c b a
0 c c b b
0 c c b c
0 c c c 0
0 c c c a
0 c c c b
0 c c c c
Is it a nice code?: No
Generator Matrix-5
a 0 0 0 0
b 0 0 0 0
0 c c 0 0
Codewords:
0 0 0 0 0
0 c c 0 0
b 0 0 0 0
b c c 0 0
a 0 0 0 0
a c c 0 0
c 0 0 0 0
c c c 0 0
dmin: 1
Weight Enumerator: 1x0 + 3x1 + 1x2 + 3x3 + 0x4 + 0x5
Complete Weight Enumerator: (X_0)5 + (X_0)3 (X_c)2 + (X_0)4 (X_b)1 + (X_0)2 (X_b)1 (X_c)2 + (X_0)4 (X_a)1 + (X_0)2 (X_a)1 (X_c)2 + (X_0)4 (X_c)1 + (X_0)2 (X_c)3
Dual Codewords:
0 0 0 0 0
0 0 0 0 a
0 0 0 0 b
0 0 0 0 c
0 0 0 a 0
0 0 0 a a
0 0 0 a b
0 0 0 a c
0 0 0 b 0
0 0 0 b a
0 0 0 b b
0 0 0 b c
0 0 0 c 0
0 0 0 c a
0 0 0 c b
0 0 0 c c
0 0 a 0 0
0 0 a 0 a
0 0 a 0 b
0 0 a 0 c
0 0 a a 0
0 0 a a a
0 0 a a b
0 0 a a c
0 0 a b 0
0 0 a b a
0 0 a b b
0 0 a b c
0 0 a c 0
0 0 a c a
0 0 a c b
0 0 a c c
0 0 b 0 0
0 0 b 0 a
0 0 b 0 b
0 0 b 0 c
0 0 b a 0
0 0 b a a
0 0 b a b
0 0 b a c
0 0 b b 0
0 0 b b a
0 0 b b b
0 0 b b c
0 0 b c 0
0 0 b c a
0 0 b c b
0 0 b c c
0 0 c 0 0
0 0 c 0 a
0 0 c 0 b
0 0 c 0 c
0 0 c a 0
0 0 c a a
0 0 c a b
0 0 c a c
0 0 c b 0
0 0 c b a
0 0 c b b
0 0 c b c
0 0 c c 0
0 0 c c a
0 0 c c b
0 0 c c c
0 a 0 0 0
0 a 0 0 a
0 a 0 0 b
0 a 0 0 c
0 a 0 a 0
0 a 0 a a
0 a 0 a b
0 a 0 a c
0 a 0 b 0
0 a 0 b a
0 a 0 b b
0 a 0 b c
0 a 0 c 0
0 a 0 c a
0 a 0 c b
0 a 0 c c
0 a a 0 0
0 a a 0 a
0 a a 0 b
0 a a 0 c
0 a a a 0
0 a a a a
0 a a a b
0 a a a c
0 a a b 0
0 a a b a
0 a a b b
0 a a b c
0 a a c 0
0 a a c a
0 a a c b
0 a a c c
0 a b 0 0
0 a b 0 a
0 a b 0 b
0 a b 0 c
0 a b a 0
0 a b a a
0 a b a b
0 a b a c
0 a b b 0
0 a b b a
0 a b b b
0 a b b c
0 a b c 0
0 a b c a
0 a b c b
0 a b c c
0 a c 0 0
0 a c 0 a
0 a c 0 b
0 a c 0 c
0 a c a 0
0 a c a a
0 a c a b
0 a c a c
0 a c b 0
0 a c b a
0 a c b b
0 a c b c
0 a c c 0
0 a c c a
0 a c c b
0 a c c c
0 b 0 0 0
0 b 0 0 a
0 b 0 0 b
0 b 0 0 c
0 b 0 a 0
0 b 0 a a
0 b 0 a b
0 b 0 a c
0 b 0 b 0
0 b 0 b a
0 b 0 b b
0 b 0 b c
0 b 0 c 0
0 b 0 c a
0 b 0 c b
0 b 0 c c
0 b a 0 0
0 b a 0 a
0 b a 0 b
0 b a 0 c
0 b a a 0
0 b a a a
0 b a a b
0 b a a c
0 b a b 0
0 b a b a
0 b a b b
0 b a b c
0 b a c 0
0 b a c a
0 b a c b
0 b a c c
0 b b 0 0
0 b b 0 a
0 b b 0 b
0 b b 0 c
0 b b a 0
0 b b a a
0 b b a b
0 b b a c
0 b b b 0
0 b b b a
0 b b b b
0 b b b c
0 b b c 0
0 b b c a
0 b b c b
0 b b c c
0 b c 0 0
0 b c 0 a
0 b c 0 b
0 b c 0 c
0 b c a 0
0 b c a a
0 b c a b
0 b c a c
0 b c b 0
0 b c b a
0 b c b b
0 b c b c
0 b c c 0
0 b c c a
0 b c c b
0 b c c c
0 c 0 0 0
0 c 0 0 a
0 c 0 0 b
0 c 0 0 c
0 c 0 a 0
0 c 0 a a
0 c 0 a b
0 c 0 a c
0 c 0 b 0
0 c 0 b a
0 c 0 b b
0 c 0 b c
0 c 0 c 0
0 c 0 c a
0 c 0 c b
0 c 0 c c
0 c a 0 0
0 c a 0 a
0 c a 0 b
0 c a 0 c
0 c a a 0
0 c a a a
0 c a a b
0 c a a c
0 c a b 0
0 c a b a
0 c a b b
0 c a b c
0 c a c 0
0 c a c a
0 c a c b
0 c a c c
0 c b 0 0
0 c b 0 a
0 c b 0 b
0 c b 0 c
0 c b a 0
0 c b a a
0 c b a b
0 c b a c
0 c b b 0
0 c b b a
0 c b b b
0 c b b c
0 c b c 0
0 c b c a
0 c b c b
0 c b c c
0 c c 0 0
0 c c 0 a
0 c c 0 b
0 c c 0 c
0 c c a 0
0 c c a a
0 c c a b
0 c c a c
0 c c b 0
0 c c b a
0 c c b b
0 c c b c
0 c c c 0
0 c c c a
0 c c c b
0 c c c c
Is it a nice code?: No
Generator Matrix-6
a 0 0 0 0
b 0 0 0 0
0 c c 0 c
Codewords:
0 0 0 0 0
0 c c 0 c
b 0 0 0 0
b c c 0 c
a 0 0 0 0
a c c 0 c
c 0 0 0 0
c c c 0 c
dmin: 1
Weight Enumerator: 1x0 + 3x1 + 0x2 + 1x3 + 3x4 + 0x5
Complete Weight Enumerator: (X_0)5 + (X_0)2 (X_c)3 + (X_0)4 (X_b)1 + (X_0)1 (X_b)1 (X_c)3 + (X_0)4 (X_a)1 + (X_0)1 (X_a)1 (X_c)3 + (X_0)4 (X_c)1 + (X_0)1 (X_c)4
Dual Codewords:
0 0 0 0 0
0 0 0 0 a
0 0 0 0 b
0 0 0 0 c
0 0 0 a 0
0 0 0 a a
0 0 0 a b
0 0 0 a c
0 0 0 b 0
0 0 0 b a
0 0 0 b b
0 0 0 b c
0 0 0 c 0
0 0 0 c a
0 0 0 c b
0 0 0 c c
0 0 a 0 0
0 0 a 0 a
0 0 a 0 b
0 0 a 0 c
0 0 a a 0
0 0 a a a
0 0 a a b
0 0 a a c
0 0 a b 0
0 0 a b a
0 0 a b b
0 0 a b c
0 0 a c 0
0 0 a c a
0 0 a c b
0 0 a c c
0 0 b 0 0
0 0 b 0 a
0 0 b 0 b
0 0 b 0 c
0 0 b a 0
0 0 b a a
0 0 b a b
0 0 b a c
0 0 b b 0
0 0 b b a
0 0 b b b
0 0 b b c
0 0 b c 0
0 0 b c a
0 0 b c b
0 0 b c c
0 0 c 0 0
0 0 c 0 a
0 0 c 0 b
0 0 c 0 c
0 0 c a 0
0 0 c a a
0 0 c a b
0 0 c a c
0 0 c b 0
0 0 c b a
0 0 c b b
0 0 c b c
0 0 c c 0
0 0 c c a
0 0 c c b
0 0 c c c
0 a 0 0 0
0 a 0 0 a
0 a 0 0 b
0 a 0 0 c
0 a 0 a 0
0 a 0 a a
0 a 0 a b
0 a 0 a c
0 a 0 b 0
0 a 0 b a
0 a 0 b b
0 a 0 b c
0 a 0 c 0
0 a 0 c a
0 a 0 c b
0 a 0 c c
0 a a 0 0
0 a a 0 a
0 a a 0 b
0 a a 0 c
0 a a a 0
0 a a a a
0 a a a b
0 a a a c
0 a a b 0
0 a a b a
0 a a b b
0 a a b c
0 a a c 0
0 a a c a
0 a a c b
0 a a c c
0 a b 0 0
0 a b 0 a
0 a b 0 b
0 a b 0 c
0 a b a 0
0 a b a a
0 a b a b
0 a b a c
0 a b b 0
0 a b b a
0 a b b b
0 a b b c
0 a b c 0
0 a b c a
0 a b c b
0 a b c c
0 a c 0 0
0 a c 0 a
0 a c 0 b
0 a c 0 c
0 a c a 0
0 a c a a
0 a c a b
0 a c a c
0 a c b 0
0 a c b a
0 a c b b
0 a c b c
0 a c c 0
0 a c c a
0 a c c b
0 a c c c
0 b 0 0 0
0 b 0 0 a
0 b 0 0 b
0 b 0 0 c
0 b 0 a 0
0 b 0 a a
0 b 0 a b
0 b 0 a c
0 b 0 b 0
0 b 0 b a
0 b 0 b b
0 b 0 b c
0 b 0 c 0
0 b 0 c a
0 b 0 c b
0 b 0 c c
0 b a 0 0
0 b a 0 a
0 b a 0 b
0 b a 0 c
0 b a a 0
0 b a a a
0 b a a b
0 b a a c
0 b a b 0
0 b a b a
0 b a b b
0 b a b c
0 b a c 0
0 b a c a
0 b a c b
0 b a c c
0 b b 0 0
0 b b 0 a
0 b b 0 b
0 b b 0 c
0 b b a 0
0 b b a a
0 b b a b
0 b b a c
0 b b b 0
0 b b b a
0 b b b b
0 b b b c
0 b b c 0
0 b b c a
0 b b c b
0 b b c c
0 b c 0 0
0 b c 0 a
0 b c 0 b
0 b c 0 c
0 b c a 0
0 b c a a
0 b c a b
0 b c a c
0 b c b 0
0 b c b a
0 b c b b
0 b c b c
0 b c c 0
0 b c c a
0 b c c b
0 b c c c
0 c 0 0 0
0 c 0 0 a
0 c 0 0 b
0 c 0 0 c
0 c 0 a 0
0 c 0 a a
0 c 0 a b
0 c 0 a c
0 c 0 b 0
0 c 0 b a
0 c 0 b b
0 c 0 b c
0 c 0 c 0
0 c 0 c a
0 c 0 c b
0 c 0 c c
0 c a 0 0
0 c a 0 a
0 c a 0 b
0 c a 0 c
0 c a a 0
0 c a a a
0 c a a b
0 c a a c
0 c a b 0
0 c a b a
0 c a b b
0 c a b c
0 c a c 0
0 c a c a
0 c a c b
0 c a c c
0 c b 0 0
0 c b 0 a
0 c b 0 b
0 c b 0 c
0 c b a 0
0 c b a a
0 c b a b
0 c b a c
0 c b b 0
0 c b b a
0 c b b b
0 c b b c
0 c b c 0
0 c b c a
0 c b c b
0 c b c c
0 c c 0 0
0 c c 0 a
0 c c 0 b
0 c c 0 c
0 c c a 0
0 c c a a
0 c c a b
0 c c a c
0 c c b 0
0 c c b a
0 c c b b
0 c c b c
0 c c c 0
0 c c c a
0 c c c b
0 c c c c
Is it a nice code?: No
Generator Matrix-7
a 0 0 0 0
b 0 0 0 0
0 c c c 0
Codewords:
0 0 0 0 0
0 c c c 0
b 0 0 0 0
b c c c 0
a 0 0 0 0
a c c c 0
c 0 0 0 0
c c c c 0
dmin: 1
Weight Enumerator: 1x0 + 3x1 + 0x2 + 1x3 + 3x4 + 0x5
Complete Weight Enumerator: (X_0)5 + (X_0)2 (X_c)3 + (X_0)4 (X_b)1 + (X_0)1 (X_b)1 (X_c)3 + (X_0)4 (X_a)1 + (X_0)1 (X_a)1 (X_c)3 + (X_0)4 (X_c)1 + (X_0)1 (X_c)4
Dual Codewords:
0 0 0 0 0
0 0 0 0 a
0 0 0 0 b
0 0 0 0 c
0 0 0 a 0
0 0 0 a a
0 0 0 a b
0 0 0 a c
0 0 0 b 0
0 0 0 b a
0 0 0 b b
0 0 0 b c
0 0 0 c 0
0 0 0 c a
0 0 0 c b
0 0 0 c c
0 0 a 0 0
0 0 a 0 a
0 0 a 0 b
0 0 a 0 c
0 0 a a 0
0 0 a a a
0 0 a a b
0 0 a a c
0 0 a b 0
0 0 a b a
0 0 a b b
0 0 a b c
0 0 a c 0
0 0 a c a
0 0 a c b
0 0 a c c
0 0 b 0 0
0 0 b 0 a
0 0 b 0 b
0 0 b 0 c
0 0 b a 0
0 0 b a a
0 0 b a b
0 0 b a c
0 0 b b 0
0 0 b b a
0 0 b b b
0 0 b b c
0 0 b c 0
0 0 b c a
0 0 b c b
0 0 b c c
0 0 c 0 0
0 0 c 0 a
0 0 c 0 b
0 0 c 0 c
0 0 c a 0
0 0 c a a
0 0 c a b
0 0 c a c
0 0 c b 0
0 0 c b a
0 0 c b b
0 0 c b c
0 0 c c 0
0 0 c c a
0 0 c c b
0 0 c c c
0 a 0 0 0
0 a 0 0 a
0 a 0 0 b
0 a 0 0 c
0 a 0 a 0
0 a 0 a a
0 a 0 a b
0 a 0 a c
0 a 0 b 0
0 a 0 b a
0 a 0 b b
0 a 0 b c
0 a 0 c 0
0 a 0 c a
0 a 0 c b
0 a 0 c c
0 a a 0 0
0 a a 0 a
0 a a 0 b
0 a a 0 c
0 a a a 0
0 a a a a
0 a a a b
0 a a a c
0 a a b 0
0 a a b a
0 a a b b
0 a a b c
0 a a c 0
0 a a c a
0 a a c b
0 a a c c
0 a b 0 0
0 a b 0 a
0 a b 0 b
0 a b 0 c
0 a b a 0
0 a b a a
0 a b a b
0 a b a c
0 a b b 0
0 a b b a
0 a b b b
0 a b b c
0 a b c 0
0 a b c a
0 a b c b
0 a b c c
0 a c 0 0
0 a c 0 a
0 a c 0 b
0 a c 0 c
0 a c a 0
0 a c a a
0 a c a b
0 a c a c
0 a c b 0
0 a c b a
0 a c b b
0 a c b c
0 a c c 0
0 a c c a
0 a c c b
0 a c c c
0 b 0 0 0
0 b 0 0 a
0 b 0 0 b
0 b 0 0 c
0 b 0 a 0
0 b 0 a a
0 b 0 a b
0 b 0 a c
0 b 0 b 0
0 b 0 b a
0 b 0 b b
0 b 0 b c
0 b 0 c 0
0 b 0 c a
0 b 0 c b
0 b 0 c c
0 b a 0 0
0 b a 0 a
0 b a 0 b
0 b a 0 c
0 b a a 0
0 b a a a
0 b a a b
0 b a a c
0 b a b 0
0 b a b a
0 b a b b
0 b a b c
0 b a c 0
0 b a c a
0 b a c b
0 b a c c
0 b b 0 0
0 b b 0 a
0 b b 0 b
0 b b 0 c
0 b b a 0
0 b b a a
0 b b a b
0 b b a c
0 b b b 0
0 b b b a
0 b b b b
0 b b b c
0 b b c 0
0 b b c a
0 b b c b
0 b b c c
0 b c 0 0
0 b c 0 a
0 b c 0 b
0 b c 0 c
0 b c a 0
0 b c a a
0 b c a b
0 b c a c
0 b c b 0
0 b c b a
0 b c b b
0 b c b c
0 b c c 0
0 b c c a
0 b c c b
0 b c c c
0 c 0 0 0
0 c 0 0 a
0 c 0 0 b
0 c 0 0 c
0 c 0 a 0
0 c 0 a a
0 c 0 a b
0 c 0 a c
0 c 0 b 0
0 c 0 b a
0 c 0 b b
0 c 0 b c
0 c 0 c 0
0 c 0 c a
0 c 0 c b
0 c 0 c c
0 c a 0 0
0 c a 0 a
0 c a 0 b
0 c a 0 c
0 c a a 0
0 c a a a
0 c a a b
0 c a a c
0 c a b 0
0 c a b a
0 c a b b
0 c a b c
0 c a c 0
0 c a c a
0 c a c b
0 c a c c
0 c b 0 0
0 c b 0 a
0 c b 0 b
0 c b 0 c
0 c b a 0
0 c b a a
0 c b a b
0 c b a c
0 c b b 0
0 c b b a
0 c b b b
0 c b b c
0 c b c 0
0 c b c a
0 c b c b
0 c b c c
0 c c 0 0
0 c c 0 a
0 c c 0 b
0 c c 0 c
0 c c a 0
0 c c a a
0 c c a b
0 c c a c
0 c c b 0
0 c c b a
0 c c b b
0 c c b c
0 c c c 0
0 c c c a
0 c c c b
0 c c c c
Is it a nice code?: No
Generator Matrix-8
a 0 0 0 0
b 0 0 0 0
0 c c c c
Codewords:
0 0 0 0 0
0 c c c c
b 0 0 0 0
b c c c c
a 0 0 0 0
a c c c c
c 0 0 0 0
c c c c c
dmin: 1
Weight Enumerator: 1x0 + 3x1 + 0x2 + 0x3 + 1x4 + 3x5
Complete Weight Enumerator: (X_0)5 + (X_0)1 (X_c)4 + (X_0)4 (X_b)1 + (X_b)1 (X_c)4 + (X_0)4 (X_a)1 + (X_a)1 (X_c)4 + (X_0)4 (X_c)1 + (X_c)5
Dual Codewords:
0 0 0 0 0
0 0 0 0 a
0 0 0 0 b
0 0 0 0 c
0 0 0 a 0
0 0 0 a a
0 0 0 a b
0 0 0 a c
0 0 0 b 0
0 0 0 b a
0 0 0 b b
0 0 0 b c
0 0 0 c 0
0 0 0 c a
0 0 0 c b
0 0 0 c c
0 0 a 0 0
0 0 a 0 a
0 0 a 0 b
0 0 a 0 c
0 0 a a 0
0 0 a a a
0 0 a a b
0 0 a a c
0 0 a b 0
0 0 a b a
0 0 a b b
0 0 a b c
0 0 a c 0
0 0 a c a
0 0 a c b
0 0 a c c
0 0 b 0 0
0 0 b 0 a
0 0 b 0 b
0 0 b 0 c
0 0 b a 0
0 0 b a a
0 0 b a b
0 0 b a c
0 0 b b 0
0 0 b b a
0 0 b b b
0 0 b b c
0 0 b c 0
0 0 b c a
0 0 b c b
0 0 b c c
0 0 c 0 0
0 0 c 0 a
0 0 c 0 b
0 0 c 0 c
0 0 c a 0
0 0 c a a
0 0 c a b
0 0 c a c
0 0 c b 0
0 0 c b a
0 0 c b b
0 0 c b c
0 0 c c 0
0 0 c c a
0 0 c c b
0 0 c c c
0 a 0 0 0
0 a 0 0 a
0 a 0 0 b
0 a 0 0 c
0 a 0 a 0
0 a 0 a a
0 a 0 a b
0 a 0 a c
0 a 0 b 0
0 a 0 b a
0 a 0 b b
0 a 0 b c
0 a 0 c 0
0 a 0 c a
0 a 0 c b
0 a 0 c c
0 a a 0 0
0 a a 0 a
0 a a 0 b
0 a a 0 c
0 a a a 0
0 a a a a
0 a a a b
0 a a a c
0 a a b 0
0 a a b a
0 a a b b
0 a a b c
0 a a c 0
0 a a c a
0 a a c b
0 a a c c
0 a b 0 0
0 a b 0 a
0 a b 0 b
0 a b 0 c
0 a b a 0
0 a b a a
0 a b a b
0 a b a c
0 a b b 0
0 a b b a
0 a b b b
0 a b b c
0 a b c 0
0 a b c a
0 a b c b
0 a b c c
0 a c 0 0
0 a c 0 a
0 a c 0 b
0 a c 0 c
0 a c a 0
0 a c a a
0 a c a b
0 a c a c
0 a c b 0
0 a c b a
0 a c b b
0 a c b c
0 a c c 0
0 a c c a
0 a c c b
0 a c c c
0 b 0 0 0
0 b 0 0 a
0 b 0 0 b
0 b 0 0 c
0 b 0 a 0
0 b 0 a a
0 b 0 a b
0 b 0 a c
0 b 0 b 0
0 b 0 b a
0 b 0 b b
0 b 0 b c
0 b 0 c 0
0 b 0 c a
0 b 0 c b
0 b 0 c c
0 b a 0 0
0 b a 0 a
0 b a 0 b
0 b a 0 c
0 b a a 0
0 b a a a
0 b a a b
0 b a a c
0 b a b 0
0 b a b a
0 b a b b
0 b a b c
0 b a c 0
0 b a c a
0 b a c b
0 b a c c
0 b b 0 0
0 b b 0 a
0 b b 0 b
0 b b 0 c
0 b b a 0
0 b b a a
0 b b a b
0 b b a c
0 b b b 0
0 b b b a
0 b b b b
0 b b b c
0 b b c 0
0 b b c a
0 b b c b
0 b b c c
0 b c 0 0
0 b c 0 a
0 b c 0 b
0 b c 0 c
0 b c a 0
0 b c a a
0 b c a b
0 b c a c
0 b c b 0
0 b c b a
0 b c b b
0 b c b c
0 b c c 0
0 b c c a
0 b c c b
0 b c c c
0 c 0 0 0
0 c 0 0 a
0 c 0 0 b
0 c 0 0 c
0 c 0 a 0
0 c 0 a a
0 c 0 a b
0 c 0 a c
0 c 0 b 0
0 c 0 b a
0 c 0 b b
0 c 0 b c
0 c 0 c 0
0 c 0 c a
0 c 0 c b
0 c 0 c c
0 c a 0 0
0 c a 0 a
0 c a 0 b
0 c a 0 c
0 c a a 0
0 c a a a
0 c a a b
0 c a a c
0 c a b 0
0 c a b a
0 c a b b
0 c a b c
0 c a c 0
0 c a c a
0 c a c b
0 c a c c
0 c b 0 0
0 c b 0 a
0 c b 0 b
0 c b 0 c
0 c b a 0
0 c b a a
0 c b a b
0 c b a c
0 c b b 0
0 c b b a
0 c b b b
0 c b b c
0 c b c 0
0 c b c a
0 c b c b
0 c b c c
0 c c 0 0
0 c c 0 a
0 c c 0 b
0 c c 0 c
0 c c a 0
0 c c a a
0 c c a b
0 c c a c
0 c c b 0
0 c c b a
0 c c b b
0 c c b c
0 c c c 0
0 c c c a
0 c c c b
0 c c c c
Is it a nice code?: No
Generator Matrix-9
a 0 0 0 a
b 0 0 0 b
0 c 0 0 0
Codewords:
0 0 0 0 0
0 c 0 0 0
b 0 0 0 b
b c 0 0 b
a 0 0 0 a
a c 0 0 a
c 0 0 0 c
c c 0 0 c
dmin: 1
Weight Enumerator: 1x0 + 1x1 + 3x2 + 3x3 + 0x4 + 0x5
Complete Weight Enumerator: (X_0)5 + (X_0)4 (X_c)1 + (X_0)3 (X_b)2 + (X_0)2 (X_b)2 (X_c)1 + (X_0)3 (X_a)2 + (X_0)2 (X_a)2 (X_c)1 + (X_0)3 (X_c)2 + (X_0)2 (X_c)3
Dual Codewords:
0 0 0 0 0
0 0 0 a 0
0 0 0 b 0
0 0 0 c 0
0 0 a 0 0
0 0 a a 0
0 0 a b 0
0 0 a c 0
0 0 b 0 0
0 0 b a 0
0 0 b b 0
0 0 b c 0
0 0 c 0 0
0 0 c a 0
0 0 c b 0
0 0 c c 0
0 a 0 0 0
0 a 0 a 0
0 a 0 b 0
0 a 0 c 0
0 a a 0 0
0 a a a 0
0 a a b 0
0 a a c 0
0 a b 0 0
0 a b a 0
0 a b b 0
0 a b c 0
0 a c 0 0
0 a c a 0
0 a c b 0
0 a c c 0
0 b 0 0 0
0 b 0 a 0
0 b 0 b 0
0 b 0 c 0
0 b a 0 0
0 b a a 0
0 b a b 0
0 b a c 0
0 b b 0 0
0 b b a 0
0 b b b 0
0 b b c 0
0 b c 0 0
0 b c a 0
0 b c b 0
0 b c c 0
0 c 0 0 0
0 c 0 a 0
0 c 0 b 0
0 c 0 c 0
0 c a 0 0
0 c a a 0
0 c a b 0
0 c a c 0
0 c b 0 0
0 c b a 0
0 c b b 0
0 c b c 0
0 c c 0 0
0 c c a 0
0 c c b 0
0 c c c 0
Is it a nice code?: No
Generator Matrix-10
a 0 0 0 a
b 0 0 0 b
0 c 0 0 c
Codewords:
0 0 0 0 0
0 c 0 0 c
b 0 0 0 b
b c 0 0 a
a 0 0 0 a
a c 0 0 b
c 0 0 0 c
c c 0 0 0
dmin: 2
Weight Enumerator: 1x0 + 0x1 + 5x2 + 2x3 + 0x4 + 0x5
Complete Weight Enumerator: (X_0)5 + (X_0)3 (X_c)2 + (X_0)3 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)1 + (X_0)3 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)1 + (X_0)3 (X_c)2 + (X_0)3 (X_c)2
Dual Codewords:
0 0 0 0 0
0 0 0 a 0
0 0 0 b 0
0 0 0 c 0
0 0 a 0 0
0 0 a a 0
0 0 a b 0
0 0 a c 0
0 0 b 0 0
0 0 b a 0
0 0 b b 0
0 0 b c 0
0 0 c 0 0
0 0 c a 0
0 0 c b 0
0 0 c c 0
0 a 0 0 0
0 a 0 a 0
0 a 0 b 0
0 a 0 c 0
0 a a 0 0
0 a a a 0
0 a a b 0
0 a a c 0
0 a b 0 0
0 a b a 0
0 a b b 0
0 a b c 0
0 a c 0 0
0 a c a 0
0 a c b 0
0 a c c 0
0 b 0 0 0
0 b 0 a 0
0 b 0 b 0
0 b 0 c 0
0 b a 0 0
0 b a a 0
0 b a b 0
0 b a c 0
0 b b 0 0
0 b b a 0
0 b b b 0
0 b b c 0
0 b c 0 0
0 b c a 0
0 b c b 0
0 b c c 0
0 c 0 0 0
0 c 0 a 0
0 c 0 b 0
0 c 0 c 0
0 c a 0 0
0 c a a 0
0 c a b 0
0 c a c 0
0 c b 0 0
0 c b a 0
0 c b b 0
0 c b c 0
0 c c 0 0
0 c c a 0
0 c c b 0
0 c c c 0
Is it a nice code?: No
Generator Matrix-11
a 0 0 0 a
b 0 0 0 b
0 c 0 c 0
Codewords:
0 0 0 0 0
0 c 0 c 0
b 0 0 0 b
b c 0 c b
a 0 0 0 a
a c 0 c a
c 0 0 0 c
c c 0 c c
dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 0x3 + 3x4 + 0x5
Complete Weight Enumerator: (X_0)5 + (X_0)3 (X_c)2 + (X_0)3 (X_b)2 + (X_0)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)2 + (X_0)1 (X_a)2 (X_c)2 + (X_0)3 (X_c)2 + (X_0)1 (X_c)4
Dual Codewords:
0 0 0 0 0
0 0 0 a 0
0 0 0 b 0
0 0 0 c 0
0 0 a 0 0
0 0 a a 0
0 0 a b 0
0 0 a c 0
0 0 b 0 0
0 0 b a 0
0 0 b b 0
0 0 b c 0
0 0 c 0 0
0 0 c a 0
0 0 c b 0
0 0 c c 0
0 a 0 0 0
0 a 0 a 0
0 a 0 b 0
0 a 0 c 0
0 a a 0 0
0 a a a 0
0 a a b 0
0 a a c 0
0 a b 0 0
0 a b a 0
0 a b b 0
0 a b c 0
0 a c 0 0
0 a c a 0
0 a c b 0
0 a c c 0
0 b 0 0 0
0 b 0 a 0
0 b 0 b 0
0 b 0 c 0
0 b a 0 0
0 b a a 0
0 b a b 0
0 b a c 0
0 b b 0 0
0 b b a 0
0 b b b 0
0 b b c 0
0 b c 0 0
0 b c a 0
0 b c b 0
0 b c c 0
0 c 0 0 0
0 c 0 a 0
0 c 0 b 0
0 c 0 c 0
0 c a 0 0
0 c a a 0
0 c a b 0
0 c a c 0
0 c b 0 0
0 c b a 0
0 c b b 0
0 c b c 0
0 c c 0 0
0 c c a 0
0 c c b 0
0 c c c 0
Is it a nice code?: No
Generator Matrix-12
a 0 0 0 a
b 0 0 0 b
0 c 0 c c
Codewords:
0 0 0 0 0
0 c 0 c c
b 0 0 0 b
b c 0 c a
a 0 0 0 a
a c 0 c b
c 0 0 0 c
c c 0 c 0
dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 2x3 + 2x4 + 0x5
Complete Weight Enumerator: (X_0)5 + (X_0)2 (X_c)3 + (X_0)3 (X_b)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_a)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_c)2 + (X_0)2 (X_c)3
Dual Codewords:
0 0 0 0 0
0 0 0 a 0
0 0 0 b 0
0 0 0 c 0
0 0 a 0 0
0 0 a a 0
0 0 a b 0
0 0 a c 0
0 0 b 0 0
0 0 b a 0
0 0 b b 0
0 0 b c 0
0 0 c 0 0
0 0 c a 0
0 0 c b 0
0 0 c c 0
0 a 0 0 0
0 a 0 a 0
0 a 0 b 0
0 a 0 c 0
0 a a 0 0
0 a a a 0
0 a a b 0
0 a a c 0
0 a b 0 0
0 a b a 0
0 a b b 0
0 a b c 0
0 a c 0 0
0 a c a 0
0 a c b 0
0 a c c 0
0 b 0 0 0
0 b 0 a 0
0 b 0 b 0
0 b 0 c 0
0 b a 0 0
0 b a a 0
0 b a b 0
0 b a c 0
0 b b 0 0
0 b b a 0
0 b b b 0
0 b b c 0
0 b c 0 0
0 b c a 0
0 b c b 0
0 b c c 0
0 c 0 0 0
0 c 0 a 0
0 c 0 b 0
0 c 0 c 0
0 c a 0 0
0 c a a 0
0 c a b 0
0 c a c 0
0 c b 0 0
0 c b a 0
0 c b b 0
0 c b c 0
0 c c 0 0
0 c c a 0
0 c c b 0
0 c c c 0
Is it a nice code?: No
Generator Matrix-13
a 0 0 0 a
b 0 0 0 b
0 c c 0 0
Codewords:
0 0 0 0 0
0 c c 0 0
b 0 0 0 b
b c c 0 b
a 0 0 0 a
a c c 0 a
c 0 0 0 c
c c c 0 c
dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 0x3 + 3x4 + 0x5
Complete Weight Enumerator: (X_0)5 + (X_0)3 (X_c)2 + (X_0)3 (X_b)2 + (X_0)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)2 + (X_0)1 (X_a)2 (X_c)2 + (X_0)3 (X_c)2 + (X_0)1 (X_c)4
Dual Codewords:
0 0 0 0 0
0 0 0 a 0
0 0 0 b 0
0 0 0 c 0
0 0 a 0 0
0 0 a a 0
0 0 a b 0
0 0 a c 0
0 0 b 0 0
0 0 b a 0
0 0 b b 0
0 0 b c 0
0 0 c 0 0
0 0 c a 0
0 0 c b 0
0 0 c c 0
0 a 0 0 0
0 a 0 a 0
0 a 0 b 0
0 a 0 c 0
0 a a 0 0
0 a a a 0
0 a a b 0
0 a a c 0
0 a b 0 0
0 a b a 0
0 a b b 0
0 a b c 0
0 a c 0 0
0 a c a 0
0 a c b 0
0 a c c 0
0 b 0 0 0
0 b 0 a 0
0 b 0 b 0
0 b 0 c 0
0 b a 0 0
0 b a a 0
0 b a b 0
0 b a c 0
0 b b 0 0
0 b b a 0
0 b b b 0
0 b b c 0
0 b c 0 0
0 b c a 0
0 b c b 0
0 b c c 0
0 c 0 0 0
0 c 0 a 0
0 c 0 b 0
0 c 0 c 0
0 c a 0 0
0 c a a 0
0 c a b 0
0 c a c 0
0 c b 0 0
0 c b a 0
0 c b b 0
0 c b c 0
0 c c 0 0
0 c c a 0
0 c c b 0
0 c c c 0
Is it a nice code?: No
Generator Matrix-14
a 0 0 0 a
b 0 0 0 b
0 c c 0 c
Codewords:
0 0 0 0 0
0 c c 0 c
b 0 0 0 b
b c c 0 a
a 0 0 0 a
a c c 0 b
c 0 0 0 c
c c c 0 0
dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 2x3 + 2x4 + 0x5
Complete Weight Enumerator: (X_0)5 + (X_0)2 (X_c)3 + (X_0)3 (X_b)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_a)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_c)2 + (X_0)2 (X_c)3
Dual Codewords:
0 0 0 0 0
0 0 0 a 0
0 0 0 b 0
0 0 0 c 0
0 0 a 0 0
0 0 a a 0
0 0 a b 0
0 0 a c 0
0 0 b 0 0
0 0 b a 0
0 0 b b 0
0 0 b c 0
0 0 c 0 0
0 0 c a 0
0 0 c b 0
0 0 c c 0
0 a 0 0 0
0 a 0 a 0
0 a 0 b 0
0 a 0 c 0
0 a a 0 0
0 a a a 0
0 a a b 0
0 a a c 0
0 a b 0 0
0 a b a 0
0 a b b 0
0 a b c 0
0 a c 0 0
0 a c a 0
0 a c b 0
0 a c c 0
0 b 0 0 0
0 b 0 a 0
0 b 0 b 0
0 b 0 c 0
0 b a 0 0
0 b a a 0
0 b a b 0
0 b a c 0
0 b b 0 0
0 b b a 0
0 b b b 0
0 b b c 0
0 b c 0 0
0 b c a 0
0 b c b 0
0 b c c 0
0 c 0 0 0
0 c 0 a 0
0 c 0 b 0
0 c 0 c 0
0 c a 0 0
0 c a a 0
0 c a b 0
0 c a c 0
0 c b 0 0
0 c b a 0
0 c b b 0
0 c b c 0
0 c c 0 0
0 c c a 0
0 c c b 0
0 c c c 0
Is it a nice code?: No
Generator Matrix-15
a 0 0 0 a
b 0 0 0 b
0 c c c 0
Codewords:
0 0 0 0 0
0 c c c 0
b 0 0 0 b
b c c c b
a 0 0 0 a
a c c c a
c 0 0 0 c
c c c c c
dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 1x3 + 0x4 + 3x5
Complete Weight Enumerator: (X_0)5 + (X_0)2 (X_c)3 + (X_0)3 (X_b)2 + (X_b)2 (X_c)3 + (X_0)3 (X_a)2 + (X_a)2 (X_c)3 + (X_0)3 (X_c)2 + (X_c)5
Dual Codewords:
0 0 0 0 0
0 0 0 a 0
0 0 0 b 0
0 0 0 c 0
0 0 a 0 0
0 0 a a 0
0 0 a b 0
0 0 a c 0
0 0 b 0 0
0 0 b a 0
0 0 b b 0
0 0 b c 0
0 0 c 0 0
0 0 c a 0
0 0 c b 0
0 0 c c 0
0 a 0 0 0
0 a 0 a 0
0 a 0 b 0
0 a 0 c 0
0 a a 0 0
0 a a a 0
0 a a b 0
0 a a c 0
0 a b 0 0
0 a b a 0
0 a b b 0
0 a b c 0
0 a c 0 0
0 a c a 0
0 a c b 0
0 a c c 0
0 b 0 0 0
0 b 0 a 0
0 b 0 b 0
0 b 0 c 0
0 b a 0 0
0 b a a 0
0 b a b 0
0 b a c 0
0 b b 0 0
0 b b a 0
0 b b b 0
0 b b c 0
0 b c 0 0
0 b c a 0
0 b c b 0
0 b c c 0
0 c 0 0 0
0 c 0 a 0
0 c 0 b 0
0 c 0 c 0
0 c a 0 0
0 c a a 0
0 c a b 0
0 c a c 0
0 c b 0 0
0 c b a 0
0 c b b 0
0 c b c 0
0 c c 0 0
0 c c a 0
0 c c b 0
0 c c c 0
Is it a nice code?: No
Generator Matrix-16
a 0 0 0 a
b 0 0 0 b
0 c c c c
Codewords:
0 0 0 0 0
0 c c c c
b 0 0 0 b
b c c c a
a 0 0 0 a
a c c c b
c 0 0 0 c
c c c c 0
dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 0x3 + 2x4 + 2x5
Complete Weight Enumerator: (X_0)5 + (X_0)1 (X_c)4 + (X_0)3 (X_b)2 + (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_a)2 + (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_c)2 + (X_0)1 (X_c)4
Dual Codewords:
0 0 0 0 0
0 0 0 a 0
0 0 0 b 0
0 0 0 c 0
0 0 a 0 0
0 0 a a 0
0 0 a b 0
0 0 a c 0
0 0 b 0 0
0 0 b a 0
0 0 b b 0
0 0 b c 0
0 0 c 0 0
0 0 c a 0
0 0 c b 0
0 0 c c 0
0 a 0 0 0
0 a 0 a 0
0 a 0 b 0
0 a 0 c 0
0 a a 0 0
0 a a a 0
0 a a b 0
0 a a c 0
0 a b 0 0
0 a b a 0
0 a b b 0
0 a b c 0
0 a c 0 0
0 a c a 0
0 a c b 0
0 a c c 0
0 b 0 0 0
0 b 0 a 0
0 b 0 b 0
0 b 0 c 0
0 b a 0 0
0 b a a 0
0 b a b 0
0 b a c 0
0 b b 0 0
0 b b a 0
0 b b b 0
0 b b c 0
0 b c 0 0
0 b c a 0
0 b c b 0
0 b c c 0
0 c 0 0 0
0 c 0 a 0
0 c 0 b 0
0 c 0 c 0
0 c a 0 0
0 c a a 0
0 c a b 0
0 c a c 0
0 c b 0 0
0 c b a 0
0 c b b 0
0 c b c 0
0 c c 0 0
0 c c a 0
0 c c b 0
0 c c c 0
Is it a nice code?: No
Generator Matrix-17
a 0 0 a 0
b 0 0 b 0
0 c 0 0 0
Codewords:
0 0 0 0 0
0 c 0 0 0
b 0 0 b 0
b c 0 b 0
a 0 0 a 0
a c 0 a 0
c 0 0 c 0
c c 0 c 0
dmin: 1
Weight Enumerator: 1x0 + 1x1 + 3x2 + 3x3 + 0x4 + 0x5
Complete Weight Enumerator: (X_0)5 + (X_0)4 (X_c)1 + (X_0)3 (X_b)2 + (X_0)2 (X_b)2 (X_c)1 + (X_0)3 (X_a)2 + (X_0)2 (X_a)2 (X_c)1 + (X_0)3 (X_c)2 + (X_0)2 (X_c)3
Dual Codewords:
0 0 0 0 0
0 0 0 0 a
0 0 0 0 b
0 0 0 0 c
0 0 a 0 0
0 0 a 0 a
0 0 a 0 b
0 0 a 0 c
0 0 b 0 0
0 0 b 0 a
0 0 b 0 b
0 0 b 0 c
0 0 c 0 0
0 0 c 0 a
0 0 c 0 b
0 0 c 0 c
0 a 0 0 0
0 a 0 0 a
0 a 0 0 b
0 a 0 0 c
0 a a 0 0
0 a a 0 a
0 a a 0 b
0 a a 0 c
0 a b 0 0
0 a b 0 a
0 a b 0 b
0 a b 0 c
0 a c 0 0
0 a c 0 a
0 a c 0 b
0 a c 0 c
0 b 0 0 0
0 b 0 0 a
0 b 0 0 b
0 b 0 0 c
0 b a 0 0
0 b a 0 a
0 b a 0 b
0 b a 0 c
0 b b 0 0
0 b b 0 a
0 b b 0 b
0 b b 0 c
0 b c 0 0
0 b c 0 a
0 b c 0 b
0 b c 0 c
0 c 0 0 0
0 c 0 0 a
0 c 0 0 b
0 c 0 0 c
0 c a 0 0
0 c a 0 a
0 c a 0 b
0 c a 0 c
0 c b 0 0
0 c b 0 a
0 c b 0 b
0 c b 0 c
0 c c 0 0
0 c c 0 a
0 c c 0 b
0 c c 0 c
Is it a nice code?: No
Generator Matrix-18
a 0 0 a 0
b 0 0 b 0
0 c 0 0 c
Codewords:
0 0 0 0 0
0 c 0 0 c
b 0 0 b 0
b c 0 b c
a 0 0 a 0
a c 0 a c
c 0 0 c 0
c c 0 c c
dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 0x3 + 3x4 + 0x5
Complete Weight Enumerator: (X_0)5 + (X_0)3 (X_c)2 + (X_0)3 (X_b)2 + (X_0)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)2 + (X_0)1 (X_a)2 (X_c)2 + (X_0)3 (X_c)2 + (X_0)1 (X_c)4
Dual Codewords:
0 0 0 0 0
0 0 0 0 a
0 0 0 0 b
0 0 0 0 c
0 0 a 0 0
0 0 a 0 a
0 0 a 0 b
0 0 a 0 c
0 0 b 0 0
0 0 b 0 a
0 0 b 0 b
0 0 b 0 c
0 0 c 0 0
0 0 c 0 a
0 0 c 0 b
0 0 c 0 c
0 a 0 0 0
0 a 0 0 a
0 a 0 0 b
0 a 0 0 c
0 a a 0 0
0 a a 0 a
0 a a 0 b
0 a a 0 c
0 a b 0 0
0 a b 0 a
0 a b 0 b
0 a b 0 c
0 a c 0 0
0 a c 0 a
0 a c 0 b
0 a c 0 c
0 b 0 0 0
0 b 0 0 a
0 b 0 0 b
0 b 0 0 c
0 b a 0 0
0 b a 0 a
0 b a 0 b
0 b a 0 c
0 b b 0 0
0 b b 0 a
0 b b 0 b
0 b b 0 c
0 b c 0 0
0 b c 0 a
0 b c 0 b
0 b c 0 c
0 c 0 0 0
0 c 0 0 a
0 c 0 0 b
0 c 0 0 c
0 c a 0 0
0 c a 0 a
0 c a 0 b
0 c a 0 c
0 c b 0 0
0 c b 0 a
0 c b 0 b
0 c b 0 c
0 c c 0 0
0 c c 0 a
0 c c 0 b
0 c c 0 c
Is it a nice code?: No
Generator Matrix-19
a 0 0 a 0
b 0 0 b 0
0 c 0 c 0
Codewords:
0 0 0 0 0
0 c 0 c 0
b 0 0 b 0
b c 0 a 0
a 0 0 a 0
a c 0 b 0
c 0 0 c 0
c c 0 0 0
dmin: 2
Weight Enumerator: 1x0 + 0x1 + 5x2 + 2x3 + 0x4 + 0x5
Complete Weight Enumerator: (X_0)5 + (X_0)3 (X_c)2 + (X_0)3 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)1 + (X_0)3 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)1 + (X_0)3 (X_c)2 + (X_0)3 (X_c)2
Dual Codewords:
0 0 0 0 0
0 0 0 0 a
0 0 0 0 b
0 0 0 0 c
0 0 a 0 0
0 0 a 0 a
0 0 a 0 b
0 0 a 0 c
0 0 b 0 0
0 0 b 0 a
0 0 b 0 b
0 0 b 0 c
0 0 c 0 0
0 0 c 0 a
0 0 c 0 b
0 0 c 0 c
0 a 0 0 0
0 a 0 0 a
0 a 0 0 b
0 a 0 0 c
0 a a 0 0
0 a a 0 a
0 a a 0 b
0 a a 0 c
0 a b 0 0
0 a b 0 a
0 a b 0 b
0 a b 0 c
0 a c 0 0
0 a c 0 a
0 a c 0 b
0 a c 0 c
0 b 0 0 0
0 b 0 0 a
0 b 0 0 b
0 b 0 0 c
0 b a 0 0
0 b a 0 a
0 b a 0 b
0 b a 0 c
0 b b 0 0
0 b b 0 a
0 b b 0 b
0 b b 0 c
0 b c 0 0
0 b c 0 a
0 b c 0 b
0 b c 0 c
0 c 0 0 0
0 c 0 0 a
0 c 0 0 b
0 c 0 0 c
0 c a 0 0
0 c a 0 a
0 c a 0 b
0 c a 0 c
0 c b 0 0
0 c b 0 a
0 c b 0 b
0 c b 0 c
0 c c 0 0
0 c c 0 a
0 c c 0 b
0 c c 0 c
Is it a nice code?: No
Generator Matrix-20
a 0 0 a 0
b 0 0 b 0
0 c 0 c c
Codewords:
0 0 0 0 0
0 c 0 c c
b 0 0 b 0
b c 0 a c
a 0 0 a 0
a c 0 b c
c 0 0 c 0
c c 0 0 c
dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 2x3 + 2x4 + 0x5
Complete Weight Enumerator: (X_0)5 + (X_0)2 (X_c)3 + (X_0)3 (X_b)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_a)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_c)2 + (X_0)2 (X_c)3
Dual Codewords:
0 0 0 0 0
0 0 0 0 a
0 0 0 0 b
0 0 0 0 c
0 0 a 0 0
0 0 a 0 a
0 0 a 0 b
0 0 a 0 c
0 0 b 0 0
0 0 b 0 a
0 0 b 0 b
0 0 b 0 c
0 0 c 0 0
0 0 c 0 a
0 0 c 0 b
0 0 c 0 c
0 a 0 0 0
0 a 0 0 a
0 a 0 0 b
0 a 0 0 c
0 a a 0 0
0 a a 0 a
0 a a 0 b
0 a a 0 c
0 a b 0 0
0 a b 0 a
0 a b 0 b
0 a b 0 c
0 a c 0 0
0 a c 0 a
0 a c 0 b
0 a c 0 c
0 b 0 0 0
0 b 0 0 a
0 b 0 0 b
0 b 0 0 c
0 b a 0 0
0 b a 0 a
0 b a 0 b
0 b a 0 c
0 b b 0 0
0 b b 0 a
0 b b 0 b
0 b b 0 c
0 b c 0 0
0 b c 0 a
0 b c 0 b
0 b c 0 c
0 c 0 0 0
0 c 0 0 a
0 c 0 0 b
0 c 0 0 c
0 c a 0 0
0 c a 0 a
0 c a 0 b
0 c a 0 c
0 c b 0 0
0 c b 0 a
0 c b 0 b
0 c b 0 c
0 c c 0 0
0 c c 0 a
0 c c 0 b
0 c c 0 c
Is it a nice code?: No
Generator Matrix-21
a 0 0 a 0
b 0 0 b 0
0 c c 0 0
Codewords:
0 0 0 0 0
0 c c 0 0
b 0 0 b 0
b c c b 0
a 0 0 a 0
a c c a 0
c 0 0 c 0
c c c c 0
dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 0x3 + 3x4 + 0x5
Complete Weight Enumerator: (X_0)5 + (X_0)3 (X_c)2 + (X_0)3 (X_b)2 + (X_0)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)2 + (X_0)1 (X_a)2 (X_c)2 + (X_0)3 (X_c)2 + (X_0)1 (X_c)4
Dual Codewords:
0 0 0 0 0
0 0 0 0 a
0 0 0 0 b
0 0 0 0 c
0 0 a 0 0
0 0 a 0 a
0 0 a 0 b
0 0 a 0 c
0 0 b 0 0
0 0 b 0 a
0 0 b 0 b
0 0 b 0 c
0 0 c 0 0
0 0 c 0 a
0 0 c 0 b
0 0 c 0 c
0 a 0 0 0
0 a 0 0 a
0 a 0 0 b
0 a 0 0 c
0 a a 0 0
0 a a 0 a
0 a a 0 b
0 a a 0 c
0 a b 0 0
0 a b 0 a
0 a b 0 b
0 a b 0 c
0 a c 0 0
0 a c 0 a
0 a c 0 b
0 a c 0 c
0 b 0 0 0
0 b 0 0 a
0 b 0 0 b
0 b 0 0 c
0 b a 0 0
0 b a 0 a
0 b a 0 b
0 b a 0 c
0 b b 0 0
0 b b 0 a
0 b b 0 b
0 b b 0 c
0 b c 0 0
0 b c 0 a
0 b c 0 b
0 b c 0 c
0 c 0 0 0
0 c 0 0 a
0 c 0 0 b
0 c 0 0 c
0 c a 0 0
0 c a 0 a
0 c a 0 b
0 c a 0 c
0 c b 0 0
0 c b 0 a
0 c b 0 b
0 c b 0 c
0 c c 0 0
0 c c 0 a
0 c c 0 b
0 c c 0 c
Is it a nice code?: No
Generator Matrix-22
a 0 0 a 0
b 0 0 b 0
0 c c 0 c
Codewords:
0 0 0 0 0
0 c c 0 c
b 0 0 b 0
b c c b c
a 0 0 a 0
a c c a c
c 0 0 c 0
c c c c c
dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 1x3 + 0x4 + 3x5
Complete Weight Enumerator: (X_0)5 + (X_0)2 (X_c)3 + (X_0)3 (X_b)2 + (X_b)2 (X_c)3 + (X_0)3 (X_a)2 + (X_a)2 (X_c)3 + (X_0)3 (X_c)2 + (X_c)5
Dual Codewords:
0 0 0 0 0
0 0 0 0 a
0 0 0 0 b
0 0 0 0 c
0 0 a 0 0
0 0 a 0 a
0 0 a 0 b
0 0 a 0 c
0 0 b 0 0
0 0 b 0 a
0 0 b 0 b
0 0 b 0 c
0 0 c 0 0
0 0 c 0 a
0 0 c 0 b
0 0 c 0 c
0 a 0 0 0
0 a 0 0 a
0 a 0 0 b
0 a 0 0 c
0 a a 0 0
0 a a 0 a
0 a a 0 b
0 a a 0 c
0 a b 0 0
0 a b 0 a
0 a b 0 b
0 a b 0 c
0 a c 0 0
0 a c 0 a
0 a c 0 b
0 a c 0 c
0 b 0 0 0
0 b 0 0 a
0 b 0 0 b
0 b 0 0 c
0 b a 0 0
0 b a 0 a
0 b a 0 b
0 b a 0 c
0 b b 0 0
0 b b 0 a
0 b b 0 b
0 b b 0 c
0 b c 0 0
0 b c 0 a
0 b c 0 b
0 b c 0 c
0 c 0 0 0
0 c 0 0 a
0 c 0 0 b
0 c 0 0 c
0 c a 0 0
0 c a 0 a
0 c a 0 b
0 c a 0 c
0 c b 0 0
0 c b 0 a
0 c b 0 b
0 c b 0 c
0 c c 0 0
0 c c 0 a
0 c c 0 b
0 c c 0 c
Is it a nice code?: No
Generator Matrix-23
a 0 0 a 0
b 0 0 b 0
0 c c c 0
Codewords:
0 0 0 0 0
0 c c c 0
b 0 0 b 0
b c c a 0
a 0 0 a 0
a c c b 0
c 0 0 c 0
c c c 0 0
dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 2x3 + 2x4 + 0x5
Complete Weight Enumerator: (X_0)5 + (X_0)2 (X_c)3 + (X_0)3 (X_b)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_a)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_c)2 + (X_0)2 (X_c)3
Dual Codewords:
0 0 0 0 0
0 0 0 0 a
0 0 0 0 b
0 0 0 0 c
0 0 a 0 0
0 0 a 0 a
0 0 a 0 b
0 0 a 0 c
0 0 b 0 0
0 0 b 0 a
0 0 b 0 b
0 0 b 0 c
0 0 c 0 0
0 0 c 0 a
0 0 c 0 b
0 0 c 0 c
0 a 0 0 0
0 a 0 0 a
0 a 0 0 b
0 a 0 0 c
0 a a 0 0
0 a a 0 a
0 a a 0 b
0 a a 0 c
0 a b 0 0
0 a b 0 a
0 a b 0 b
0 a b 0 c
0 a c 0 0
0 a c 0 a
0 a c 0 b
0 a c 0 c
0 b 0 0 0
0 b 0 0 a
0 b 0 0 b
0 b 0 0 c
0 b a 0 0
0 b a 0 a
0 b a 0 b
0 b a 0 c
0 b b 0 0
0 b b 0 a
0 b b 0 b
0 b b 0 c
0 b c 0 0
0 b c 0 a
0 b c 0 b
0 b c 0 c
0 c 0 0 0
0 c 0 0 a
0 c 0 0 b
0 c 0 0 c
0 c a 0 0
0 c a 0 a
0 c a 0 b
0 c a 0 c
0 c b 0 0
0 c b 0 a
0 c b 0 b
0 c b 0 c
0 c c 0 0
0 c c 0 a
0 c c 0 b
0 c c 0 c
Is it a nice code?: No
Generator Matrix-24
a 0 0 a 0
b 0 0 b 0
0 c c c c
Codewords:
0 0 0 0 0
0 c c c c
b 0 0 b 0
b c c a c
a 0 0 a 0
a c c b c
c 0 0 c 0
c c c 0 c
dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 0x3 + 2x4 + 2x5
Complete Weight Enumerator: (X_0)5 + (X_0)1 (X_c)4 + (X_0)3 (X_b)2 + (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_a)2 + (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_c)2 + (X_0)1 (X_c)4
Dual Codewords:
0 0 0 0 0
0 0 0 0 a
0 0 0 0 b
0 0 0 0 c
0 0 a 0 0
0 0 a 0 a
0 0 a 0 b
0 0 a 0 c
0 0 b 0 0
0 0 b 0 a
0 0 b 0 b
0 0 b 0 c
0 0 c 0 0
0 0 c 0 a
0 0 c 0 b
0 0 c 0 c
0 a 0 0 0
0 a 0 0 a
0 a 0 0 b
0 a 0 0 c
0 a a 0 0
0 a a 0 a
0 a a 0 b
0 a a 0 c
0 a b 0 0
0 a b 0 a
0 a b 0 b
0 a b 0 c
0 a c 0 0
0 a c 0 a
0 a c 0 b
0 a c 0 c
0 b 0 0 0
0 b 0 0 a
0 b 0 0 b
0 b 0 0 c
0 b a 0 0
0 b a 0 a
0 b a 0 b
0 b a 0 c
0 b b 0 0
0 b b 0 a
0 b b 0 b
0 b b 0 c
0 b c 0 0
0 b c 0 a
0 b c 0 b
0 b c 0 c
0 c 0 0 0
0 c 0 0 a
0 c 0 0 b
0 c 0 0 c
0 c a 0 0
0 c a 0 a
0 c a 0 b
0 c a 0 c
0 c b 0 0
0 c b 0 a
0 c b 0 b
0 c b 0 c
0 c c 0 0
0 c c 0 a
0 c c 0 b
0 c c 0 c
Is it a nice code?: No
Generator Matrix-25
a 0 0 a a
b 0 0 b b
0 c 0 0 0
Codewords:
0 0 0 0 0
0 c 0 0 0
b 0 0 b b
b c 0 b b
a 0 0 a a
a c 0 a a
c 0 0 c c
c c 0 c c
dmin: 1
Weight Enumerator: 1x0 + 1x1 + 0x2 + 3x3 + 3x4 + 0x5
Complete Weight Enumerator: (X_0)5 + (X_0)4 (X_c)1 + (X_0)2 (X_b)3 + (X_0)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)3 + (X_0)1 (X_a)3 (X_c)1 + (X_0)2 (X_c)3 + (X_0)1 (X_c)4
Dual Codewords:
0 0 0 0 0
0 0 a 0 0
0 0 b 0 0
0 0 c 0 0
0 a 0 0 0
0 a a 0 0
0 a b 0 0
0 a c 0 0
0 b 0 0 0
0 b a 0 0
0 b b 0 0
0 b c 0 0
0 c 0 0 0
0 c a 0 0
0 c b 0 0
0 c c 0 0
Is it a nice code?: No
Generator Matrix-26
a 0 0 a a
b 0 0 b b
0 c 0 0 c
Codewords:
0 0 0 0 0
0 c 0 0 c
b 0 0 b b
b c 0 b a
a 0 0 a a
a c 0 a b
c 0 0 c c
c c 0 c 0
dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 4x3 + 2x4 + 0x5
Complete Weight Enumerator: (X_0)5 + (X_0)3 (X_c)2 + (X_0)2 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_c)3 + (X_0)2 (X_c)3
Dual Codewords:
0 0 0 0 0
0 0 a 0 0
0 0 b 0 0
0 0 c 0 0
0 a 0 0 0
0 a a 0 0
0 a b 0 0
0 a c 0 0
0 b 0 0 0
0 b a 0 0
0 b b 0 0
0 b c 0 0
0 c 0 0 0
0 c a 0 0
0 c b 0 0
0 c c 0 0
Is it a nice code?: No
Generator Matrix-27
a 0 0 a a
b 0 0 b b
0 c 0 c 0
Codewords:
0 0 0 0 0
0 c 0 c 0
b 0 0 b b
b c 0 a b
a 0 0 a a
a c 0 b a
c 0 0 c c
c c 0 0 c
dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 4x3 + 2x4 + 0x5
Complete Weight Enumerator: (X_0)5 + (X_0)3 (X_c)2 + (X_0)2 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_c)3 + (X_0)2 (X_c)3
Dual Codewords:
0 0 0 0 0
0 0 a 0 0
0 0 b 0 0
0 0 c 0 0
0 a 0 0 0
0 a a 0 0
0 a b 0 0
0 a c 0 0
0 b 0 0 0
0 b a 0 0
0 b b 0 0
0 b c 0 0
0 c 0 0 0
0 c a 0 0
0 c b 0 0
0 c c 0 0
Is it a nice code?: No
Generator Matrix-28
a 0 0 a a
b 0 0 b b
0 c 0 c c
Codewords:
0 0 0 0 0
0 c 0 c c
b 0 0 b b
b c 0 a a
a 0 0 a a
a c 0 b b
c 0 0 c c
c c 0 0 0
dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 4x3 + 2x4 + 0x5
Complete Weight Enumerator: (X_0)5 + (X_0)2 (X_c)3 + (X_0)2 (X_b)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_c)3 + (X_0)3 (X_c)2
Dual Codewords:
0 0 0 0 0
0 0 a 0 0
0 0 b 0 0
0 0 c 0 0
0 a 0 0 0
0 a a 0 0
0 a b 0 0
0 a c 0 0
0 b 0 0 0
0 b a 0 0
0 b b 0 0
0 b c 0 0
0 c 0 0 0
0 c a 0 0
0 c b 0 0
0 c c 0 0
Is it a nice code?: No
Generator Matrix-29
a 0 0 a a
b 0 0 b b
0 c c 0 0
Codewords:
0 0 0 0 0
0 c c 0 0
b 0 0 b b
b c c b b
a 0 0 a a
a c c a a
c 0 0 c c
c c c c c
dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 3x3 + 0x4 + 3x5
Complete Weight Enumerator: (X_0)5 + (X_0)3 (X_c)2 + (X_0)2 (X_b)3 + (X_b)3 (X_c)2 + (X_0)2 (X_a)3 + (X_a)3 (X_c)2 + (X_0)2 (X_c)3 + (X_c)5
Dual Codewords:
0 0 0 0 0
0 0 a 0 0
0 0 b 0 0
0 0 c 0 0
0 a 0 0 0
0 a a 0 0
0 a b 0 0
0 a c 0 0
0 b 0 0 0
0 b a 0 0
0 b b 0 0
0 b c 0 0
0 c 0 0 0
0 c a 0 0
0 c b 0 0
0 c c 0 0
Is it a nice code?: No
Generator Matrix-30
a 0 0 a a
b 0 0 b b
0 c c 0 c
Codewords:
0 0 0 0 0
0 c c 0 c
b 0 0 b b
b c c b a
a 0 0 a a
a c c a b
c 0 0 c c
c c c c 0
dmin: 3
Weight Enumerator: 1x0 + 0x1 + 0x2 + 4x3 + 1x4 + 2x5
Complete Weight Enumerator: (X_0)5 + (X_0)2 (X_c)3 + (X_0)2 (X_b)3 + (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)3 + (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_c)3 + (X_0)1 (X_c)4
Dual Codewords:
0 0 0 0 0
0 0 a 0 0
0 0 b 0 0
0 0 c 0 0
0 a 0 0 0
0 a a 0 0
0 a b 0 0
0 a c 0 0
0 b 0 0 0
0 b a 0 0
0 b b 0 0
0 b c 0 0
0 c 0 0 0
0 c a 0 0
0 c b 0 0
0 c c 0 0
Is it a nice code?: No
Generator Matrix-31
a 0 0 a a
b 0 0 b b
0 c c c 0
Codewords:
0 0 0 0 0
0 c c c 0
b 0 0 b b
b c c a b
a 0 0 a a
a c c b a
c 0 0 c c
c c c 0 c
dmin: 3
Weight Enumerator: 1x0 + 0x1 + 0x2 + 4x3 + 1x4 + 2x5
Complete Weight Enumerator: (X_0)5 + (X_0)2 (X_c)3 + (X_0)2 (X_b)3 + (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)3 + (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_c)3 + (X_0)1 (X_c)4
Dual Codewords:
0 0 0 0 0
0 0 a 0 0
0 0 b 0 0
0 0 c 0 0
0 a 0 0 0
0 a a 0 0
0 a b 0 0
0 a c 0 0
0 b 0 0 0
0 b a 0 0
0 b b 0 0
0 b c 0 0
0 c 0 0 0
0 c a 0 0
0 c b 0 0
0 c c 0 0
Is it a nice code?: No
Generator Matrix-32
a 0 0 a a
b 0 0 b b
0 c c c c
Codewords:
0 0 0 0 0
0 c c c c
b 0 0 b b
b c c a a
a 0 0 a a
a c c b b
c 0 0 c c
c c c 0 0
dmin: 3
Weight Enumerator: 1x0 + 0x1 + 0x2 + 4x3 + 1x4 + 2x5
Complete Weight Enumerator: (X_0)5 + (X_0)1 (X_c)4 + (X_0)2 (X_b)3 + (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)3 + (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_c)3 + (X_0)2 (X_c)3
Dual Codewords:
0 0 0 0 0
0 0 a 0 0
0 0 b 0 0
0 0 c 0 0
0 a 0 0 0
0 a a 0 0
0 a b 0 0
0 a c 0 0
0 b 0 0 0
0 b a 0 0
0 b b 0 0
0 b c 0 0
0 c 0 0 0
0 c a 0 0
0 c b 0 0
0 c c 0 0
Is it a nice code?: No
Generator Matrix-33
a 0 a 0 0
b 0 b 0 0
0 c 0 0 0
Codewords:
0 0 0 0 0
0 c 0 0 0
b 0 b 0 0
b c b 0 0
a 0 a 0 0
a c a 0 0
c 0 c 0 0
c c c 0 0
dmin: 1
Weight Enumerator: 1x0 + 1x1 + 3x2 + 3x3 + 0x4 + 0x5
Complete Weight Enumerator: (X_0)5 + (X_0)4 (X_c)1 + (X_0)3 (X_b)2 + (X_0)2 (X_b)2 (X_c)1 + (X_0)3 (X_a)2 + (X_0)2 (X_a)2 (X_c)1 + (X_0)3 (X_c)2 + (X_0)2 (X_c)3
Dual Codewords:
0 0 0 0 0
0 0 0 0 a
0 0 0 0 b
0 0 0 0 c
0 0 0 a 0
0 0 0 a a
0 0 0 a b
0 0 0 a c
0 0 0 b 0
0 0 0 b a
0 0 0 b b
0 0 0 b c
0 0 0 c 0
0 0 0 c a
0 0 0 c b
0 0 0 c c
0 a 0 0 0
0 a 0 0 a
0 a 0 0 b
0 a 0 0 c
0 a 0 a 0
0 a 0 a a
0 a 0 a b
0 a 0 a c
0 a 0 b 0
0 a 0 b a
0 a 0 b b
0 a 0 b c
0 a 0 c 0
0 a 0 c a
0 a 0 c b
0 a 0 c c
0 b 0 0 0
0 b 0 0 a
0 b 0 0 b
0 b 0 0 c
0 b 0 a 0
0 b 0 a a
0 b 0 a b
0 b 0 a c
0 b 0 b 0
0 b 0 b a
0 b 0 b b
0 b 0 b c
0 b 0 c 0
0 b 0 c a
0 b 0 c b
0 b 0 c c
0 c 0 0 0
0 c 0 0 a
0 c 0 0 b
0 c 0 0 c
0 c 0 a 0
0 c 0 a a
0 c 0 a b
0 c 0 a c
0 c 0 b 0
0 c 0 b a
0 c 0 b b
0 c 0 b c
0 c 0 c 0
0 c 0 c a
0 c 0 c b
0 c 0 c c
Is it a nice code?: No
Generator Matrix-34
a 0 a 0 0
b 0 b 0 0
0 c 0 0 c
Codewords:
0 0 0 0 0
0 c 0 0 c
b 0 b 0 0
b c b 0 c
a 0 a 0 0
a c a 0 c
c 0 c 0 0
c c c 0 c
dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 0x3 + 3x4 + 0x5
Complete Weight Enumerator: (X_0)5 + (X_0)3 (X_c)2 + (X_0)3 (X_b)2 + (X_0)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)2 + (X_0)1 (X_a)2 (X_c)2 + (X_0)3 (X_c)2 + (X_0)1 (X_c)4
Dual Codewords:
0 0 0 0 0
0 0 0 0 a
0 0 0 0 b
0 0 0 0 c
0 0 0 a 0
0 0 0 a a
0 0 0 a b
0 0 0 a c
0 0 0 b 0
0 0 0 b a
0 0 0 b b
0 0 0 b c
0 0 0 c 0
0 0 0 c a
0 0 0 c b
0 0 0 c c
0 a 0 0 0
0 a 0 0 a
0 a 0 0 b
0 a 0 0 c
0 a 0 a 0
0 a 0 a a
0 a 0 a b
0 a 0 a c
0 a 0 b 0
0 a 0 b a
0 a 0 b b
0 a 0 b c
0 a 0 c 0
0 a 0 c a
0 a 0 c b
0 a 0 c c
0 b 0 0 0
0 b 0 0 a
0 b 0 0 b
0 b 0 0 c
0 b 0 a 0
0 b 0 a a
0 b 0 a b
0 b 0 a c
0 b 0 b 0
0 b 0 b a
0 b 0 b b
0 b 0 b c
0 b 0 c 0
0 b 0 c a
0 b 0 c b
0 b 0 c c
0 c 0 0 0
0 c 0 0 a
0 c 0 0 b
0 c 0 0 c
0 c 0 a 0
0 c 0 a a
0 c 0 a b
0 c 0 a c
0 c 0 b 0
0 c 0 b a
0 c 0 b b
0 c 0 b c
0 c 0 c 0
0 c 0 c a
0 c 0 c b
0 c 0 c c
Is it a nice code?: No
Generator Matrix-35
a 0 a 0 0
b 0 b 0 0
0 c 0 c 0
Codewords:
0 0 0 0 0
0 c 0 c 0
b 0 b 0 0
b c b c 0
a 0 a 0 0
a c a c 0
c 0 c 0 0
c c c c 0
dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 0x3 + 3x4 + 0x5
Complete Weight Enumerator: (X_0)5 + (X_0)3 (X_c)2 + (X_0)3 (X_b)2 + (X_0)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)2 + (X_0)1 (X_a)2 (X_c)2 + (X_0)3 (X_c)2 + (X_0)1 (X_c)4
Dual Codewords:
0 0 0 0 0
0 0 0 0 a
0 0 0 0 b
0 0 0 0 c
0 0 0 a 0
0 0 0 a a
0 0 0 a b
0 0 0 a c
0 0 0 b 0
0 0 0 b a
0 0 0 b b
0 0 0 b c
0 0 0 c 0
0 0 0 c a
0 0 0 c b
0 0 0 c c
0 a 0 0 0
0 a 0 0 a
0 a 0 0 b
0 a 0 0 c
0 a 0 a 0
0 a 0 a a
0 a 0 a b
0 a 0 a c
0 a 0 b 0
0 a 0 b a
0 a 0 b b
0 a 0 b c
0 a 0 c 0
0 a 0 c a
0 a 0 c b
0 a 0 c c
0 b 0 0 0
0 b 0 0 a
0 b 0 0 b
0 b 0 0 c
0 b 0 a 0
0 b 0 a a
0 b 0 a b
0 b 0 a c
0 b 0 b 0
0 b 0 b a
0 b 0 b b
0 b 0 b c
0 b 0 c 0
0 b 0 c a
0 b 0 c b
0 b 0 c c
0 c 0 0 0
0 c 0 0 a
0 c 0 0 b
0 c 0 0 c
0 c 0 a 0
0 c 0 a a
0 c 0 a b
0 c 0 a c
0 c 0 b 0
0 c 0 b a
0 c 0 b b
0 c 0 b c
0 c 0 c 0
0 c 0 c a
0 c 0 c b
0 c 0 c c
Is it a nice code?: No
Generator Matrix-36
a 0 a 0 0
b 0 b 0 0
0 c 0 c c
Codewords:
0 0 0 0 0
0 c 0 c c
b 0 b 0 0
b c b c c
a 0 a 0 0
a c a c c
c 0 c 0 0
c c c c c
dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 1x3 + 0x4 + 3x5
Complete Weight Enumerator: (X_0)5 + (X_0)2 (X_c)3 + (X_0)3 (X_b)2 + (X_b)2 (X_c)3 + (X_0)3 (X_a)2 + (X_a)2 (X_c)3 + (X_0)3 (X_c)2 + (X_c)5
Dual Codewords:
0 0 0 0 0
0 0 0 0 a
0 0 0 0 b
0 0 0 0 c
0 0 0 a 0
0 0 0 a a
0 0 0 a b
0 0 0 a c
0 0 0 b 0
0 0 0 b a
0 0 0 b b
0 0 0 b c
0 0 0 c 0
0 0 0 c a
0 0 0 c b
0 0 0 c c
0 a 0 0 0
0 a 0 0 a
0 a 0 0 b
0 a 0 0 c
0 a 0 a 0
0 a 0 a a
0 a 0 a b
0 a 0 a c
0 a 0 b 0
0 a 0 b a
0 a 0 b b
0 a 0 b c
0 a 0 c 0
0 a 0 c a
0 a 0 c b
0 a 0 c c
0 b 0 0 0
0 b 0 0 a
0 b 0 0 b
0 b 0 0 c
0 b 0 a 0
0 b 0 a a
0 b 0 a b
0 b 0 a c
0 b 0 b 0
0 b 0 b a
0 b 0 b b
0 b 0 b c
0 b 0 c 0
0 b 0 c a
0 b 0 c b
0 b 0 c c
0 c 0 0 0
0 c 0 0 a
0 c 0 0 b
0 c 0 0 c
0 c 0 a 0
0 c 0 a a
0 c 0 a b
0 c 0 a c
0 c 0 b 0
0 c 0 b a
0 c 0 b b
0 c 0 b c
0 c 0 c 0
0 c 0 c a
0 c 0 c b
0 c 0 c c
Is it a nice code?: No
Generator Matrix-37
a 0 a 0 0
b 0 b 0 0
0 c c 0 0
Codewords:
0 0 0 0 0
0 c c 0 0
b 0 b 0 0
b c a 0 0
a 0 a 0 0
a c b 0 0
c 0 c 0 0
c c 0 0 0
dmin: 2
Weight Enumerator: 1x0 + 0x1 + 5x2 + 2x3 + 0x4 + 0x5
Complete Weight Enumerator: (X_0)5 + (X_0)3 (X_c)2 + (X_0)3 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)1 + (X_0)3 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)1 + (X_0)3 (X_c)2 + (X_0)3 (X_c)2
Dual Codewords:
0 0 0 0 0
0 0 0 0 a
0 0 0 0 b
0 0 0 0 c
0 0 0 a 0
0 0 0 a a
0 0 0 a b
0 0 0 a c
0 0 0 b 0
0 0 0 b a
0 0 0 b b
0 0 0 b c
0 0 0 c 0
0 0 0 c a
0 0 0 c b
0 0 0 c c
0 a 0 0 0
0 a 0 0 a
0 a 0 0 b
0 a 0 0 c
0 a 0 a 0
0 a 0 a a
0 a 0 a b
0 a 0 a c
0 a 0 b 0
0 a 0 b a
0 a 0 b b
0 a 0 b c
0 a 0 c 0
0 a 0 c a
0 a 0 c b
0 a 0 c c
0 b 0 0 0
0 b 0 0 a
0 b 0 0 b
0 b 0 0 c
0 b 0 a 0
0 b 0 a a
0 b 0 a b
0 b 0 a c
0 b 0 b 0
0 b 0 b a
0 b 0 b b
0 b 0 b c
0 b 0 c 0
0 b 0 c a
0 b 0 c b
0 b 0 c c
0 c 0 0 0
0 c 0 0 a
0 c 0 0 b
0 c 0 0 c
0 c 0 a 0
0 c 0 a a
0 c 0 a b
0 c 0 a c
0 c 0 b 0
0 c 0 b a
0 c 0 b b
0 c 0 b c
0 c 0 c 0
0 c 0 c a
0 c 0 c b
0 c 0 c c
Is it a nice code?: No
Generator Matrix-38
a 0 a 0 0
b 0 b 0 0
0 c c 0 c
Codewords:
0 0 0 0 0
0 c c 0 c
b 0 b 0 0
b c a 0 c
a 0 a 0 0
a c b 0 c
c 0 c 0 0
c c 0 0 c
dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 2x3 + 2x4 + 0x5
Complete Weight Enumerator: (X_0)5 + (X_0)2 (X_c)3 + (X_0)3 (X_b)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_a)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_c)2 + (X_0)2 (X_c)3
Dual Codewords:
0 0 0 0 0
0 0 0 0 a
0 0 0 0 b
0 0 0 0 c
0 0 0 a 0
0 0 0 a a
0 0 0 a b
0 0 0 a c
0 0 0 b 0
0 0 0 b a
0 0 0 b b
0 0 0 b c
0 0 0 c 0
0 0 0 c a
0 0 0 c b
0 0 0 c c
0 a 0 0 0
0 a 0 0 a
0 a 0 0 b
0 a 0 0 c
0 a 0 a 0
0 a 0 a a
0 a 0 a b
0 a 0 a c
0 a 0 b 0
0 a 0 b a
0 a 0 b b
0 a 0 b c
0 a 0 c 0
0 a 0 c a
0 a 0 c b
0 a 0 c c
0 b 0 0 0
0 b 0 0 a
0 b 0 0 b
0 b 0 0 c
0 b 0 a 0
0 b 0 a a
0 b 0 a b
0 b 0 a c
0 b 0 b 0
0 b 0 b a
0 b 0 b b
0 b 0 b c
0 b 0 c 0
0 b 0 c a
0 b 0 c b
0 b 0 c c
0 c 0 0 0
0 c 0 0 a
0 c 0 0 b
0 c 0 0 c
0 c 0 a 0
0 c 0 a a
0 c 0 a b
0 c 0 a c
0 c 0 b 0
0 c 0 b a
0 c 0 b b
0 c 0 b c
0 c 0 c 0
0 c 0 c a
0 c 0 c b
0 c 0 c c
Is it a nice code?: No
Generator Matrix-39
a 0 a 0 0
b 0 b 0 0
0 c c c 0
Codewords:
0 0 0 0 0
0 c c c 0
b 0 b 0 0
b c a c 0
a 0 a 0 0
a c b c 0
c 0 c 0 0
c c 0 c 0
dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 2x3 + 2x4 + 0x5
Complete Weight Enumerator: (X_0)5 + (X_0)2 (X_c)3 + (X_0)3 (X_b)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_a)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_c)2 + (X_0)2 (X_c)3
Dual Codewords:
0 0 0 0 0
0 0 0 0 a
0 0 0 0 b
0 0 0 0 c
0 0 0 a 0
0 0 0 a a
0 0 0 a b
0 0 0 a c
0 0 0 b 0
0 0 0 b a
0 0 0 b b
0 0 0 b c
0 0 0 c 0
0 0 0 c a
0 0 0 c b
0 0 0 c c
0 a 0 0 0
0 a 0 0 a
0 a 0 0 b
0 a 0 0 c
0 a 0 a 0
0 a 0 a a
0 a 0 a b
0 a 0 a c
0 a 0 b 0
0 a 0 b a
0 a 0 b b
0 a 0 b c
0 a 0 c 0
0 a 0 c a
0 a 0 c b
0 a 0 c c
0 b 0 0 0
0 b 0 0 a
0 b 0 0 b
0 b 0 0 c
0 b 0 a 0
0 b 0 a a
0 b 0 a b
0 b 0 a c
0 b 0 b 0
0 b 0 b a
0 b 0 b b
0 b 0 b c
0 b 0 c 0
0 b 0 c a
0 b 0 c b
0 b 0 c c
0 c 0 0 0
0 c 0 0 a
0 c 0 0 b
0 c 0 0 c
0 c 0 a 0
0 c 0 a a
0 c 0 a b
0 c 0 a c
0 c 0 b 0
0 c 0 b a
0 c 0 b b
0 c 0 b c
0 c 0 c 0
0 c 0 c a
0 c 0 c b
0 c 0 c c
Is it a nice code?: No
Generator Matrix-40
a 0 a 0 0
b 0 b 0 0
0 c c c c
Codewords:
0 0 0 0 0
0 c c c c
b 0 b 0 0
b c a c c
a 0 a 0 0
a c b c c
c 0 c 0 0
c c 0 c c
dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 0x3 + 2x4 + 2x5
Complete Weight Enumerator: (X_0)5 + (X_0)1 (X_c)4 + (X_0)3 (X_b)2 + (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_a)2 + (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_c)2 + (X_0)1 (X_c)4
Dual Codewords:
0 0 0 0 0
0 0 0 0 a
0 0 0 0 b
0 0 0 0 c
0 0 0 a 0
0 0 0 a a
0 0 0 a b
0 0 0 a c
0 0 0 b 0
0 0 0 b a
0 0 0 b b
0 0 0 b c
0 0 0 c 0
0 0 0 c a
0 0 0 c b
0 0 0 c c
0 a 0 0 0
0 a 0 0 a
0 a 0 0 b
0 a 0 0 c
0 a 0 a 0
0 a 0 a a
0 a 0 a b
0 a 0 a c
0 a 0 b 0
0 a 0 b a
0 a 0 b b
0 a 0 b c
0 a 0 c 0
0 a 0 c a
0 a 0 c b
0 a 0 c c
0 b 0 0 0
0 b 0 0 a
0 b 0 0 b
0 b 0 0 c
0 b 0 a 0
0 b 0 a a
0 b 0 a b
0 b 0 a c
0 b 0 b 0
0 b 0 b a
0 b 0 b b
0 b 0 b c
0 b 0 c 0
0 b 0 c a
0 b 0 c b
0 b 0 c c
0 c 0 0 0
0 c 0 0 a
0 c 0 0 b
0 c 0 0 c
0 c 0 a 0
0 c 0 a a
0 c 0 a b
0 c 0 a c
0 c 0 b 0
0 c 0 b a
0 c 0 b b
0 c 0 b c
0 c 0 c 0
0 c 0 c a
0 c 0 c b
0 c 0 c c
Is it a nice code?: No
Generator Matrix-41
a 0 a 0 a
b 0 b 0 b
0 c 0 0 0
Codewords:
0 0 0 0 0
0 c 0 0 0
b 0 b 0 b
b c b 0 b
a 0 a 0 a
a c a 0 a
c 0 c 0 c
c c c 0 c
dmin: 1
Weight Enumerator: 1x0 + 1x1 + 0x2 + 3x3 + 3x4 + 0x5
Complete Weight Enumerator: (X_0)5 + (X_0)4 (X_c)1 + (X_0)2 (X_b)3 + (X_0)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)3 + (X_0)1 (X_a)3 (X_c)1 + (X_0)2 (X_c)3 + (X_0)1 (X_c)4
Dual Codewords:
0 0 0 0 0
0 0 0 a 0
0 0 0 b 0
0 0 0 c 0
0 a 0 0 0
0 a 0 a 0
0 a 0 b 0
0 a 0 c 0
0 b 0 0 0
0 b 0 a 0
0 b 0 b 0
0 b 0 c 0
0 c 0 0 0
0 c 0 a 0
0 c 0 b 0
0 c 0 c 0
Is it a nice code?: No
Generator Matrix-42
a 0 a 0 a
b 0 b 0 b
0 c 0 0 c
Codewords:
0 0 0 0 0
0 c 0 0 c
b 0 b 0 b
b c b 0 a
a 0 a 0 a
a c a 0 b
c 0 c 0 c
c c c 0 0
dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 4x3 + 2x4 + 0x5
Complete Weight Enumerator: (X_0)5 + (X_0)3 (X_c)2 + (X_0)2 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_c)3 + (X_0)2 (X_c)3
Dual Codewords:
0 0 0 0 0
0 0 0 a 0
0 0 0 b 0
0 0 0 c 0
0 a 0 0 0
0 a 0 a 0
0 a 0 b 0
0 a 0 c 0
0 b 0 0 0
0 b 0 a 0
0 b 0 b 0
0 b 0 c 0
0 c 0 0 0
0 c 0 a 0
0 c 0 b 0
0 c 0 c 0
Is it a nice code?: No
Generator Matrix-43
a 0 a 0 a
b 0 b 0 b
0 c 0 c 0
Codewords:
0 0 0 0 0
0 c 0 c 0
b 0 b 0 b
b c b c b
a 0 a 0 a
a c a c a
c 0 c 0 c
c c c c c
dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 3x3 + 0x4 + 3x5
Complete Weight Enumerator: (X_0)5 + (X_0)3 (X_c)2 + (X_0)2 (X_b)3 + (X_b)3 (X_c)2 + (X_0)2 (X_a)3 + (X_a)3 (X_c)2 + (X_0)2 (X_c)3 + (X_c)5
Dual Codewords:
0 0 0 0 0
0 0 0 a 0
0 0 0 b 0
0 0 0 c 0
0 a 0 0 0
0 a 0 a 0
0 a 0 b 0
0 a 0 c 0
0 b 0 0 0
0 b 0 a 0
0 b 0 b 0
0 b 0 c 0
0 c 0 0 0
0 c 0 a 0
0 c 0 b 0
0 c 0 c 0
Is it a nice code?: No
Generator Matrix-44
a 0 a 0 a
b 0 b 0 b
0 c 0 c c
Codewords:
0 0 0 0 0
0 c 0 c c
b 0 b 0 b
b c b c a
a 0 a 0 a
a c a c b
c 0 c 0 c
c c c c 0
dmin: 3
Weight Enumerator: 1x0 + 0x1 + 0x2 + 4x3 + 1x4 + 2x5
Complete Weight Enumerator: (X_0)5 + (X_0)2 (X_c)3 + (X_0)2 (X_b)3 + (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)3 + (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_c)3 + (X_0)1 (X_c)4
Dual Codewords:
0 0 0 0 0
0 0 0 a 0
0 0 0 b 0
0 0 0 c 0
0 a 0 0 0
0 a 0 a 0
0 a 0 b 0
0 a 0 c 0
0 b 0 0 0
0 b 0 a 0
0 b 0 b 0
0 b 0 c 0
0 c 0 0 0
0 c 0 a 0
0 c 0 b 0
0 c 0 c 0
Is it a nice code?: No
Generator Matrix-45
a 0 a 0 a
b 0 b 0 b
0 c c 0 0
Codewords:
0 0 0 0 0
0 c c 0 0
b 0 b 0 b
b c a 0 b
a 0 a 0 a
a c b 0 a
c 0 c 0 c
c c 0 0 c
dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 4x3 + 2x4 + 0x5
Complete Weight Enumerator: (X_0)5 + (X_0)3 (X_c)2 + (X_0)2 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_c)3 + (X_0)2 (X_c)3
Dual Codewords:
0 0 0 0 0
0 0 0 a 0
0 0 0 b 0
0 0 0 c 0
0 a 0 0 0
0 a 0 a 0
0 a 0 b 0
0 a 0 c 0
0 b 0 0 0
0 b 0 a 0
0 b 0 b 0
0 b 0 c 0
0 c 0 0 0
0 c 0 a 0
0 c 0 b 0
0 c 0 c 0
Is it a nice code?: No
Generator Matrix-46
a 0 a 0 a
b 0 b 0 b
0 c c 0 c
Codewords:
0 0 0 0 0
0 c c 0 c
b 0 b 0 b
b c a 0 a
a 0 a 0 a
a c b 0 b
c 0 c 0 c
c c 0 0 0
dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 4x3 + 2x4 + 0x5
Complete Weight Enumerator: (X_0)5 + (X_0)2 (X_c)3 + (X_0)2 (X_b)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_c)3 + (X_0)3 (X_c)2
Dual Codewords:
0 0 0 0 0
0 0 0 a 0
0 0 0 b 0
0 0 0 c 0
0 a 0 0 0
0 a 0 a 0
0 a 0 b 0
0 a 0 c 0
0 b 0 0 0
0 b 0 a 0
0 b 0 b 0
0 b 0 c 0
0 c 0 0 0
0 c 0 a 0
0 c 0 b 0
0 c 0 c 0
Is it a nice code?: No
Generator Matrix-47
a 0 a 0 a
b 0 b 0 b
0 c c c 0
Codewords:
0 0 0 0 0
0 c c c 0
b 0 b 0 b
b c a c b
a 0 a 0 a
a c b c a
c 0 c 0 c
c c 0 c c
dmin: 3
Weight Enumerator: 1x0 + 0x1 + 0x2 + 4x3 + 1x4 + 2x5
Complete Weight Enumerator: (X_0)5 + (X_0)2 (X_c)3 + (X_0)2 (X_b)3 + (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)3 + (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_c)3 + (X_0)1 (X_c)4
Dual Codewords:
0 0 0 0 0
0 0 0 a 0
0 0 0 b 0
0 0 0 c 0
0 a 0 0 0
0 a 0 a 0
0 a 0 b 0
0 a 0 c 0
0 b 0 0 0
0 b 0 a 0
0 b 0 b 0
0 b 0 c 0
0 c 0 0 0
0 c 0 a 0
0 c 0 b 0
0 c 0 c 0
Is it a nice code?: No
Generator Matrix-48
a 0 a 0 a
b 0 b 0 b
0 c c c c
Codewords:
0 0 0 0 0
0 c c c c
b 0 b 0 b
b c a c a
a 0 a 0 a
a c b c b
c 0 c 0 c
c c 0 c 0
dmin: 3
Weight Enumerator: 1x0 + 0x1 + 0x2 + 4x3 + 1x4 + 2x5
Complete Weight Enumerator: (X_0)5 + (X_0)1 (X_c)4 + (X_0)2 (X_b)3 + (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)3 + (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_c)3 + (X_0)2 (X_c)3
Dual Codewords:
0 0 0 0 0
0 0 0 a 0
0 0 0 b 0
0 0 0 c 0
0 a 0 0 0
0 a 0 a 0
0 a 0 b 0
0 a 0 c 0
0 b 0 0 0
0 b 0 a 0
0 b 0 b 0
0 b 0 c 0
0 c 0 0 0
0 c 0 a 0
0 c 0 b 0
0 c 0 c 0
Is it a nice code?: No
Generator Matrix-49
a 0 a a 0
b 0 b b 0
0 c 0 0 0
Codewords:
0 0 0 0 0
0 c 0 0 0
b 0 b b 0
b c b b 0
a 0 a a 0
a c a a 0
c 0 c c 0
c c c c 0
dmin: 1
Weight Enumerator: 1x0 + 1x1 + 0x2 + 3x3 + 3x4 + 0x5
Complete Weight Enumerator: (X_0)5 + (X_0)4 (X_c)1 + (X_0)2 (X_b)3 + (X_0)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)3 + (X_0)1 (X_a)3 (X_c)1 + (X_0)2 (X_c)3 + (X_0)1 (X_c)4
Dual Codewords:
0 0 0 0 0
0 0 0 0 a
0 0 0 0 b
0 0 0 0 c
0 a 0 0 0
0 a 0 0 a
0 a 0 0 b
0 a 0 0 c
0 b 0 0 0
0 b 0 0 a
0 b 0 0 b
0 b 0 0 c
0 c 0 0 0
0 c 0 0 a
0 c 0 0 b
0 c 0 0 c
Is it a nice code?: No
Generator Matrix-50
a 0 a a 0
b 0 b b 0
0 c 0 0 c
Codewords:
0 0 0 0 0
0 c 0 0 c
b 0 b b 0
b c b b c
a 0 a a 0
a c a a c
c 0 c c 0
c c c c c
dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 3x3 + 0x4 + 3x5
Complete Weight Enumerator: (X_0)5 + (X_0)3 (X_c)2 + (X_0)2 (X_b)3 + (X_b)3 (X_c)2 + (X_0)2 (X_a)3 + (X_a)3 (X_c)2 + (X_0)2 (X_c)3 + (X_c)5
Dual Codewords:
0 0 0 0 0
0 0 0 0 a
0 0 0 0 b
0 0 0 0 c
0 a 0 0 0
0 a 0 0 a
0 a 0 0 b
0 a 0 0 c
0 b 0 0 0
0 b 0 0 a
0 b 0 0 b
0 b 0 0 c
0 c 0 0 0
0 c 0 0 a
0 c 0 0 b
0 c 0 0 c
Is it a nice code?: No
Generator Matrix-51
a 0 a a 0
b 0 b b 0
0 c 0 c 0
Codewords:
0 0 0 0 0
0 c 0 c 0
b 0 b b 0
b c b a 0
a 0 a a 0
a c a b 0
c 0 c c 0
c c c 0 0
dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 4x3 + 2x4 + 0x5
Complete Weight Enumerator: (X_0)5 + (X_0)3 (X_c)2 + (X_0)2 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_c)3 + (X_0)2 (X_c)3
Dual Codewords:
0 0 0 0 0
0 0 0 0 a
0 0 0 0 b
0 0 0 0 c
0 a 0 0 0
0 a 0 0 a
0 a 0 0 b
0 a 0 0 c
0 b 0 0 0
0 b 0 0 a
0 b 0 0 b
0 b 0 0 c
0 c 0 0 0
0 c 0 0 a
0 c 0 0 b
0 c 0 0 c
Is it a nice code?: No
Generator Matrix-52
a 0 a a 0
b 0 b b 0
0 c 0 c c
Codewords:
0 0 0 0 0
0 c 0 c c
b 0 b b 0
b c b a c
a 0 a a 0
a c a b c
c 0 c c 0
c c c 0 c
dmin: 3
Weight Enumerator: 1x0 + 0x1 + 0x2 + 4x3 + 1x4 + 2x5
Complete Weight Enumerator: (X_0)5 + (X_0)2 (X_c)3 + (X_0)2 (X_b)3 + (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)3 + (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_c)3 + (X_0)1 (X_c)4
Dual Codewords:
0 0 0 0 0
0 0 0 0 a
0 0 0 0 b
0 0 0 0 c
0 a 0 0 0
0 a 0 0 a
0 a 0 0 b
0 a 0 0 c
0 b 0 0 0
0 b 0 0 a
0 b 0 0 b
0 b 0 0 c
0 c 0 0 0
0 c 0 0 a
0 c 0 0 b
0 c 0 0 c
Is it a nice code?: No
Generator Matrix-53
a 0 a a 0
b 0 b b 0
0 c c 0 0
Codewords:
0 0 0 0 0
0 c c 0 0
b 0 b b 0
b c a b 0
a 0 a a 0
a c b a 0
c 0 c c 0
c c 0 c 0
dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 4x3 + 2x4 + 0x5
Complete Weight Enumerator: (X_0)5 + (X_0)3 (X_c)2 + (X_0)2 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_c)3 + (X_0)2 (X_c)3
Dual Codewords:
0 0 0 0 0
0 0 0 0 a
0 0 0 0 b
0 0 0 0 c
0 a 0 0 0
0 a 0 0 a
0 a 0 0 b
0 a 0 0 c
0 b 0 0 0
0 b 0 0 a
0 b 0 0 b
0 b 0 0 c
0 c 0 0 0
0 c 0 0 a
0 c 0 0 b
0 c 0 0 c
Is it a nice code?: No
Generator Matrix-54
a 0 a a 0
b 0 b b 0
0 c c 0 c
Codewords:
0 0 0 0 0
0 c c 0 c
b 0 b b 0
b c a b c
a 0 a a 0
a c b a c
c 0 c c 0
c c 0 c c
dmin: 3
Weight Enumerator: 1x0 + 0x1 + 0x2 + 4x3 + 1x4 + 2x5
Complete Weight Enumerator: (X_0)5 + (X_0)2 (X_c)3 + (X_0)2 (X_b)3 + (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)3 + (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_c)3 + (X_0)1 (X_c)4
Dual Codewords:
0 0 0 0 0
0 0 0 0 a
0 0 0 0 b
0 0 0 0 c
0 a 0 0 0
0 a 0 0 a
0 a 0 0 b
0 a 0 0 c
0 b 0 0 0
0 b 0 0 a
0 b 0 0 b
0 b 0 0 c
0 c 0 0 0
0 c 0 0 a
0 c 0 0 b
0 c 0 0 c
Is it a nice code?: No
Generator Matrix-55
a 0 a a 0
b 0 b b 0
0 c c c 0
Codewords:
0 0 0 0 0
0 c c c 0
b 0 b b 0
b c a a 0
a 0 a a 0
a c b b 0
c 0 c c 0
c c 0 0 0
dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 4x3 + 2x4 + 0x5
Complete Weight Enumerator: (X_0)5 + (X_0)2 (X_c)3 + (X_0)2 (X_b)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_c)3 + (X_0)3 (X_c)2
Dual Codewords:
0 0 0 0 0
0 0 0 0 a
0 0 0 0 b
0 0 0 0 c
0 a 0 0 0
0 a 0 0 a
0 a 0 0 b
0 a 0 0 c
0 b 0 0 0
0 b 0 0 a
0 b 0 0 b
0 b 0 0 c
0 c 0 0 0
0 c 0 0 a
0 c 0 0 b
0 c 0 0 c
Is it a nice code?: No
Generator Matrix-56
a 0 a a 0
b 0 b b 0
0 c c c c
Codewords:
0 0 0 0 0
0 c c c c
b 0 b b 0
b c a a c
a 0 a a 0
a c b b c
c 0 c c 0
c c 0 0 c
dmin: 3
Weight Enumerator: 1x0 + 0x1 + 0x2 + 4x3 + 1x4 + 2x5
Complete Weight Enumerator: (X_0)5 + (X_0)1 (X_c)4 + (X_0)2 (X_b)3 + (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)3 + (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_c)3 + (X_0)2 (X_c)3
Dual Codewords:
0 0 0 0 0
0 0 0 0 a
0 0 0 0 b
0 0 0 0 c
0 a 0 0 0
0 a 0 0 a
0 a 0 0 b
0 a 0 0 c
0 b 0 0 0
0 b 0 0 a
0 b 0 0 b
0 b 0 0 c
0 c 0 0 0
0 c 0 0 a
0 c 0 0 b
0 c 0 0 c
Is it a nice code?: No
Generator Matrix-57
a 0 a a a
b 0 b b b
0 c 0 0 0
Codewords:
0 0 0 0 0
0 c 0 0 0
b 0 b b b
b c b b b
a 0 a a a
a c a a a
c 0 c c c
c c c c c
dmin: 1
Weight Enumerator: 1x0 + 1x1 + 0x2 + 0x3 + 3x4 + 3x5
Complete Weight Enumerator: (X_0)5 + (X_0)4 (X_c)1 + (X_0)1 (X_b)4 + (X_b)4 (X_c)1 + (X_0)1 (X_a)4 + (X_a)4 (X_c)1 + (X_0)1 (X_c)4 + (X_c)5
Dual Codewords:
0 0 0 0 0
0 a 0 0 0
0 b 0 0 0
0 c 0 0 0
Is it a nice code?: No
Generator Matrix-58
a 0 a a a
b 0 b b b
0 c 0 0 c
Codewords:
0 0 0 0 0
0 c 0 0 c
b 0 b b b
b c b b a
a 0 a a a
a c a a b
c 0 c c c
c c c c 0
dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 0x3 + 4x4 + 2x5
Complete Weight Enumerator: (X_0)5 + (X_0)3 (X_c)2 + (X_0)1 (X_b)4 + (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)4 + (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_c)4 + (X_0)1 (X_c)4
Dual Codewords:
0 0 0 0 0
0 a 0 0 0
0 b 0 0 0
0 c 0 0 0
Is it a nice code?: No
Generator Matrix-59
a 0 a a a
b 0 b b b
0 c 0 c 0
Codewords:
0 0 0 0 0
0 c 0 c 0
b 0 b b b
b c b a b
a 0 a a a
a c a b a
c 0 c c c
c c c 0 c
dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 0x3 + 4x4 + 2x5
Complete Weight Enumerator: (X_0)5 + (X_0)3 (X_c)2 + (X_0)1 (X_b)4 + (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)4 + (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_c)4 + (X_0)1 (X_c)4
Dual Codewords:
0 0 0 0 0
0 a 0 0 0
0 b 0 0 0
0 c 0 0 0
Is it a nice code?: No
Generator Matrix-60
a 0 a a a
b 0 b b b
0 c 0 c c
Codewords:
0 0 0 0 0
0 c 0 c c
b 0 b b b
b c b a a
a 0 a a a
a c a b b
c 0 c c c
c c c 0 0
dmin: 3
Weight Enumerator: 1x0 + 0x1 + 0x2 + 2x3 + 3x4 + 2x5
Complete Weight Enumerator: (X_0)5 + (X_0)2 (X_c)3 + (X_0)1 (X_b)4 + (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)4 + (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_c)4 + (X_0)2 (X_c)3
Dual Codewords:
0 0 0 0 0
0 a 0 0 0
0 b 0 0 0
0 c 0 0 0
Is it a nice code?: No
Generator Matrix-61
a 0 a a a
b 0 b b b
0 c c 0 0
Codewords:
0 0 0 0 0
0 c c 0 0
b 0 b b b
b c a b b
a 0 a a a
a c b a a
c 0 c c c
c c 0 c c
dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 0x3 + 4x4 + 2x5
Complete Weight Enumerator: (X_0)5 + (X_0)3 (X_c)2 + (X_0)1 (X_b)4 + (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)4 + (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_c)4 + (X_0)1 (X_c)4
Dual Codewords:
0 0 0 0 0
0 a 0 0 0
0 b 0 0 0
0 c 0 0 0
Is it a nice code?: No
Generator Matrix-62
a 0 a a a
b 0 b b b
0 c c 0 c
Codewords:
0 0 0 0 0
0 c c 0 c
b 0 b b b
b c a b a
a 0 a a a
a c b a b
c 0 c c c
c c 0 c 0
dmin: 3
Weight Enumerator: 1x0 + 0x1 + 0x2 + 2x3 + 3x4 + 2x5
Complete Weight Enumerator: (X_0)5 + (X_0)2 (X_c)3 + (X_0)1 (X_b)4 + (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)4 + (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_c)4 + (X_0)2 (X_c)3
Dual Codewords:
0 0 0 0 0
0 a 0 0 0
0 b 0 0 0
0 c 0 0 0
Is it a nice code?: No
Generator Matrix-63
a 0 a a a
b 0 b b b
0 c c c 0
Codewords:
0 0 0 0 0
0 c c c 0
b 0 b b b
b c a a b
a 0 a a a
a c b b a
c 0 c c c
c c 0 0 c
dmin: 3
Weight Enumerator: 1x0 + 0x1 + 0x2 + 2x3 + 3x4 + 2x5
Complete Weight Enumerator: (X_0)5 + (X_0)2 (X_c)3 + (X_0)1 (X_b)4 + (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)4 + (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_c)4 + (X_0)2 (X_c)3
Dual Codewords:
0 0 0 0 0
0 a 0 0 0
0 b 0 0 0
0 c 0 0 0
Is it a nice code?: No
Generator Matrix-64
a 0 a a a
b 0 b b b
0 c c c c
Codewords:
0 0 0 0 0
0 c c c c
b 0 b b b
b c a a a
a 0 a a a
a c b b b
c 0 c c c
c c 0 0 0
dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 0x3 + 4x4 + 2x5
Complete Weight Enumerator: (X_0)5 + (X_0)1 (X_c)4 + (X_0)1 (X_b)4 + (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)4 + (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_c)4 + (X_0)3 (X_c)2
Dual Codewords:
0 0 0 0 0
0 a 0 0 0
0 b 0 0 0
0 c 0 0 0
Is it a nice code?: No
Generator Matrix-65
a a 0 0 0
b b 0 0 0
0 c 0 0 0
Codewords:
0 0 0 0 0
0 c 0 0 0
b b 0 0 0
b a 0 0 0
a a 0 0 0
a b 0 0 0
c c 0 0 0
c 0 0 0 0
dmin: 1
Weight Enumerator: 1x0 + 2x1 + 5x2 + 0x3 + 0x4 + 0x5
Complete Weight Enumerator: (X_0)5 + (X_0)4 (X_c)1 + (X_0)3 (X_b)2 + (X_0)3 (X_a)1 (X_b)1 + (X_0)3 (X_a)2 + (X_0)3 (X_a)1 (X_b)1 + (X_0)3 (X_c)2 + (X_0)4 (X_c)1
Dual Codewords:
0 0 0 0 0
0 0 0 0 a
0 0 0 0 b
0 0 0 0 c
0 0 0 a 0
0 0 0 a a
0 0 0 a b
0 0 0 a c
0 0 0 b 0
0 0 0 b a
0 0 0 b b
0 0 0 b c
0 0 0 c 0
0 0 0 c a
0 0 0 c b
0 0 0 c c
0 0 a 0 0
0 0 a 0 a
0 0 a 0 b
0 0 a 0 c
0 0 a a 0
0 0 a a a
0 0 a a b
0 0 a a c
0 0 a b 0
0 0 a b a
0 0 a b b
0 0 a b c
0 0 a c 0
0 0 a c a
0 0 a c b
0 0 a c c
0 0 b 0 0
0 0 b 0 a
0 0 b 0 b
0 0 b 0 c
0 0 b a 0
0 0 b a a
0 0 b a b
0 0 b a c
0 0 b b 0
0 0 b b a
0 0 b b b
0 0 b b c
0 0 b c 0
0 0 b c a
0 0 b c b
0 0 b c c
0 0 c 0 0
0 0 c 0 a
0 0 c 0 b
0 0 c 0 c
0 0 c a 0
0 0 c a a
0 0 c a b
0 0 c a c
0 0 c b 0
0 0 c b a
0 0 c b b
0 0 c b c
0 0 c c 0
0 0 c c a
0 0 c c b
0 0 c c c
Is it a nice code?: No
Generator Matrix-66
a a 0 0 0
b b 0 0 0
0 c 0 0 c
Codewords:
0 0 0 0 0
0 c 0 0 c
b b 0 0 0
b a 0 0 c
a a 0 0 0
a b 0 0 c
c c 0 0 0
c 0 0 0 c
dmin: 2
Weight Enumerator: 1x0 + 0x1 + 5x2 + 2x3 + 0x4 + 0x5
Complete Weight Enumerator: (X_0)5 + (X_0)3 (X_c)2 + (X_0)3 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)1 + (X_0)3 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)1 + (X_0)3 (X_c)2 + (X_0)3 (X_c)2
Dual Codewords:
0 0 0 0 0
0 0 0 0 a
0 0 0 0 b
0 0 0 0 c
0 0 0 a 0
0 0 0 a a
0 0 0 a b
0 0 0 a c
0 0 0 b 0
0 0 0 b a
0 0 0 b b
0 0 0 b c
0 0 0 c 0
0 0 0 c a
0 0 0 c b
0 0 0 c c
0 0 a 0 0
0 0 a 0 a
0 0 a 0 b
0 0 a 0 c
0 0 a a 0
0 0 a a a
0 0 a a b
0 0 a a c
0 0 a b 0
0 0 a b a
0 0 a b b
0 0 a b c
0 0 a c 0
0 0 a c a
0 0 a c b
0 0 a c c
0 0 b 0 0
0 0 b 0 a
0 0 b 0 b
0 0 b 0 c
0 0 b a 0
0 0 b a a
0 0 b a b
0 0 b a c
0 0 b b 0
0 0 b b a
0 0 b b b
0 0 b b c
0 0 b c 0
0 0 b c a
0 0 b c b
0 0 b c c
0 0 c 0 0
0 0 c 0 a
0 0 c 0 b
0 0 c 0 c
0 0 c a 0
0 0 c a a
0 0 c a b
0 0 c a c
0 0 c b 0
0 0 c b a
0 0 c b b
0 0 c b c
0 0 c c 0
0 0 c c a
0 0 c c b
0 0 c c c
Is it a nice code?: No
Generator Matrix-67
a a 0 0 0
b b 0 0 0
0 c 0 c 0
Codewords:
0 0 0 0 0
0 c 0 c 0
b b 0 0 0
b a 0 c 0
a a 0 0 0
a b 0 c 0
c c 0 0 0
c 0 0 c 0
dmin: 2
Weight Enumerator: 1x0 + 0x1 + 5x2 + 2x3 + 0x4 + 0x5
Complete Weight Enumerator: (X_0)5 + (X_0)3 (X_c)2 + (X_0)3 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)1 + (X_0)3 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)1 + (X_0)3 (X_c)2 + (X_0)3 (X_c)2
Dual Codewords:
0 0 0 0 0
0 0 0 0 a
0 0 0 0 b
0 0 0 0 c
0 0 0 a 0
0 0 0 a a
0 0 0 a b
0 0 0 a c
0 0 0 b 0
0 0 0 b a
0 0 0 b b
0 0 0 b c
0 0 0 c 0
0 0 0 c a
0 0 0 c b
0 0 0 c c
0 0 a 0 0
0 0 a 0 a
0 0 a 0 b
0 0 a 0 c
0 0 a a 0
0 0 a a a
0 0 a a b
0 0 a a c
0 0 a b 0
0 0 a b a
0 0 a b b
0 0 a b c
0 0 a c 0
0 0 a c a
0 0 a c b
0 0 a c c
0 0 b 0 0
0 0 b 0 a
0 0 b 0 b
0 0 b 0 c
0 0 b a 0
0 0 b a a
0 0 b a b
0 0 b a c
0 0 b b 0
0 0 b b a
0 0 b b b
0 0 b b c
0 0 b c 0
0 0 b c a
0 0 b c b
0 0 b c c
0 0 c 0 0
0 0 c 0 a
0 0 c 0 b
0 0 c 0 c
0 0 c a 0
0 0 c a a
0 0 c a b
0 0 c a c
0 0 c b 0
0 0 c b a
0 0 c b b
0 0 c b c
0 0 c c 0
0 0 c c a
0 0 c c b
0 0 c c c
Is it a nice code?: No
Generator Matrix-68
a a 0 0 0
b b 0 0 0
0 c 0 c c
Codewords:
0 0 0 0 0
0 c 0 c c
b b 0 0 0
b a 0 c c
a a 0 0 0
a b 0 c c
c c 0 0 0
c 0 0 c c
dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 2x3 + 2x4 + 0x5
Complete Weight Enumerator: (X_0)5 + (X_0)2 (X_c)3 + (X_0)3 (X_b)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_a)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_c)2 + (X_0)2 (X_c)3
Dual Codewords:
0 0 0 0 0
0 0 0 0 a
0 0 0 0 b
0 0 0 0 c
0 0 0 a 0
0 0 0 a a
0 0 0 a b
0 0 0 a c
0 0 0 b 0
0 0 0 b a
0 0 0 b b
0 0 0 b c
0 0 0 c 0
0 0 0 c a
0 0 0 c b
0 0 0 c c
0 0 a 0 0
0 0 a 0 a
0 0 a 0 b
0 0 a 0 c
0 0 a a 0
0 0 a a a
0 0 a a b
0 0 a a c
0 0 a b 0
0 0 a b a
0 0 a b b
0 0 a b c
0 0 a c 0
0 0 a c a
0 0 a c b
0 0 a c c
0 0 b 0 0
0 0 b 0 a
0 0 b 0 b
0 0 b 0 c
0 0 b a 0
0 0 b a a
0 0 b a b
0 0 b a c
0 0 b b 0
0 0 b b a
0 0 b b b
0 0 b b c
0 0 b c 0
0 0 b c a
0 0 b c b
0 0 b c c
0 0 c 0 0
0 0 c 0 a
0 0 c 0 b
0 0 c 0 c
0 0 c a 0
0 0 c a a
0 0 c a b
0 0 c a c
0 0 c b 0
0 0 c b a
0 0 c b b
0 0 c b c
0 0 c c 0
0 0 c c a
0 0 c c b
0 0 c c c
Is it a nice code?: No
Generator Matrix-69
a a 0 0 0
b b 0 0 0
0 c c 0 0
Codewords:
0 0 0 0 0
0 c c 0 0
b b 0 0 0
b a c 0 0
a a 0 0 0
a b c 0 0
c c 0 0 0
c 0 c 0 0
dmin: 2
Weight Enumerator: 1x0 + 0x1 + 5x2 + 2x3 + 0x4 + 0x5
Complete Weight Enumerator: (X_0)5 + (X_0)3 (X_c)2 + (X_0)3 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)1 + (X_0)3 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)1 + (X_0)3 (X_c)2 + (X_0)3 (X_c)2
Dual Codewords:
0 0 0 0 0
0 0 0 0 a
0 0 0 0 b
0 0 0 0 c
0 0 0 a 0
0 0 0 a a
0 0 0 a b
0 0 0 a c
0 0 0 b 0
0 0 0 b a
0 0 0 b b
0 0 0 b c
0 0 0 c 0
0 0 0 c a
0 0 0 c b
0 0 0 c c
0 0 a 0 0
0 0 a 0 a
0 0 a 0 b
0 0 a 0 c
0 0 a a 0
0 0 a a a
0 0 a a b
0 0 a a c
0 0 a b 0
0 0 a b a
0 0 a b b
0 0 a b c
0 0 a c 0
0 0 a c a
0 0 a c b
0 0 a c c
0 0 b 0 0
0 0 b 0 a
0 0 b 0 b
0 0 b 0 c
0 0 b a 0
0 0 b a a
0 0 b a b
0 0 b a c
0 0 b b 0
0 0 b b a
0 0 b b b
0 0 b b c
0 0 b c 0
0 0 b c a
0 0 b c b
0 0 b c c
0 0 c 0 0
0 0 c 0 a
0 0 c 0 b
0 0 c 0 c
0 0 c a 0
0 0 c a a
0 0 c a b
0 0 c a c
0 0 c b 0
0 0 c b a
0 0 c b b
0 0 c b c
0 0 c c 0
0 0 c c a
0 0 c c b
0 0 c c c
Is it a nice code?: No
Generator Matrix-70
a a 0 0 0
b b 0 0 0
0 c c 0 c
Codewords:
0 0 0 0 0
0 c c 0 c
b b 0 0 0
b a c 0 c
a a 0 0 0
a b c 0 c
c c 0 0 0
c 0 c 0 c
dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 2x3 + 2x4 + 0x5
Complete Weight Enumerator: (X_0)5 + (X_0)2 (X_c)3 + (X_0)3 (X_b)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_a)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_c)2 + (X_0)2 (X_c)3
Dual Codewords:
0 0 0 0 0
0 0 0 0 a
0 0 0 0 b
0 0 0 0 c
0 0 0 a 0
0 0 0 a a
0 0 0 a b
0 0 0 a c
0 0 0 b 0
0 0 0 b a
0 0 0 b b
0 0 0 b c
0 0 0 c 0
0 0 0 c a
0 0 0 c b
0 0 0 c c
0 0 a 0 0
0 0 a 0 a
0 0 a 0 b
0 0 a 0 c
0 0 a a 0
0 0 a a a
0 0 a a b
0 0 a a c
0 0 a b 0
0 0 a b a
0 0 a b b
0 0 a b c
0 0 a c 0
0 0 a c a
0 0 a c b
0 0 a c c
0 0 b 0 0
0 0 b 0 a
0 0 b 0 b
0 0 b 0 c
0 0 b a 0
0 0 b a a
0 0 b a b
0 0 b a c
0 0 b b 0
0 0 b b a
0 0 b b b
0 0 b b c
0 0 b c 0
0 0 b c a
0 0 b c b
0 0 b c c
0 0 c 0 0
0 0 c 0 a
0 0 c 0 b
0 0 c 0 c
0 0 c a 0
0 0 c a a
0 0 c a b
0 0 c a c
0 0 c b 0
0 0 c b a
0 0 c b b
0 0 c b c
0 0 c c 0
0 0 c c a
0 0 c c b
0 0 c c c
Is it a nice code?: No
Generator Matrix-71
a a 0 0 0
b b 0 0 0
0 c c c 0
Codewords:
0 0 0 0 0
0 c c c 0
b b 0 0 0
b a c c 0
a a 0 0 0
a b c c 0
c c 0 0 0
c 0 c c 0
dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 2x3 + 2x4 + 0x5
Complete Weight Enumerator: (X_0)5 + (X_0)2 (X_c)3 + (X_0)3 (X_b)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_a)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_c)2 + (X_0)2 (X_c)3
Dual Codewords:
0 0 0 0 0
0 0 0 0 a
0 0 0 0 b
0 0 0 0 c
0 0 0 a 0
0 0 0 a a
0 0 0 a b
0 0 0 a c
0 0 0 b 0
0 0 0 b a
0 0 0 b b
0 0 0 b c
0 0 0 c 0
0 0 0 c a
0 0 0 c b
0 0 0 c c
0 0 a 0 0
0 0 a 0 a
0 0 a 0 b
0 0 a 0 c
0 0 a a 0
0 0 a a a
0 0 a a b
0 0 a a c
0 0 a b 0
0 0 a b a
0 0 a b b
0 0 a b c
0 0 a c 0
0 0 a c a
0 0 a c b
0 0 a c c
0 0 b 0 0
0 0 b 0 a
0 0 b 0 b
0 0 b 0 c
0 0 b a 0
0 0 b a a
0 0 b a b
0 0 b a c
0 0 b b 0
0 0 b b a
0 0 b b b
0 0 b b c
0 0 b c 0
0 0 b c a
0 0 b c b
0 0 b c c
0 0 c 0 0
0 0 c 0 a
0 0 c 0 b
0 0 c 0 c
0 0 c a 0
0 0 c a a
0 0 c a b
0 0 c a c
0 0 c b 0
0 0 c b a
0 0 c b b
0 0 c b c
0 0 c c 0
0 0 c c a
0 0 c c b
0 0 c c c
Is it a nice code?: No
Generator Matrix-72
a a 0 0 0
b b 0 0 0
0 c c c c
Codewords:
0 0 0 0 0
0 c c c c
b b 0 0 0
b a c c c
a a 0 0 0
a b c c c
c c 0 0 0
c 0 c c c
dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 0x3 + 2x4 + 2x5
Complete Weight Enumerator: (X_0)5 + (X_0)1 (X_c)4 + (X_0)3 (X_b)2 + (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_a)2 + (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_c)2 + (X_0)1 (X_c)4
Dual Codewords:
0 0 0 0 0
0 0 0 0 a
0 0 0 0 b
0 0 0 0 c
0 0 0 a 0
0 0 0 a a
0 0 0 a b
0 0 0 a c
0 0 0 b 0
0 0 0 b a
0 0 0 b b
0 0 0 b c
0 0 0 c 0
0 0 0 c a
0 0 0 c b
0 0 0 c c
0 0 a 0 0
0 0 a 0 a
0 0 a 0 b
0 0 a 0 c
0 0 a a 0
0 0 a a a
0 0 a a b
0 0 a a c
0 0 a b 0
0 0 a b a
0 0 a b b
0 0 a b c
0 0 a c 0
0 0 a c a
0 0 a c b
0 0 a c c
0 0 b 0 0
0 0 b 0 a
0 0 b 0 b
0 0 b 0 c
0 0 b a 0
0 0 b a a
0 0 b a b
0 0 b a c
0 0 b b 0
0 0 b b a
0 0 b b b
0 0 b b c
0 0 b c 0
0 0 b c a
0 0 b c b
0 0 b c c
0 0 c 0 0
0 0 c 0 a
0 0 c 0 b
0 0 c 0 c
0 0 c a 0
0 0 c a a
0 0 c a b
0 0 c a c
0 0 c b 0
0 0 c b a
0 0 c b b
0 0 c b c
0 0 c c 0
0 0 c c a
0 0 c c b
0 0 c c c
Is it a nice code?: No
Generator Matrix-73
a a 0 0 a
b b 0 0 b
0 c 0 0 0
Codewords:
0 0 0 0 0
0 c 0 0 0
b b 0 0 b
b a 0 0 b
a a 0 0 a
a b 0 0 a
c c 0 0 c
c 0 0 0 c
dmin: 1
Weight Enumerator: 1x0 + 1x1 + 1x2 + 5x3 + 0x4 + 0x5
Complete Weight Enumerator: (X_0)5 + (X_0)4 (X_c)1 + (X_0)2 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 + (X_0)2 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 + (X_0)2 (X_c)3 + (X_0)3 (X_c)2
Dual Codewords:
0 0 0 0 0
0 0 0 a 0
0 0 0 b 0
0 0 0 c 0
0 0 a 0 0
0 0 a a 0
0 0 a b 0
0 0 a c 0
0 0 b 0 0
0 0 b a 0
0 0 b b 0
0 0 b c 0
0 0 c 0 0
0 0 c a 0
0 0 c b 0
0 0 c c 0
Is it a nice code?: No
Generator Matrix-74
a a 0 0 a
b b 0 0 b
0 c 0 0 c
Codewords:
0 0 0 0 0
0 c 0 0 c
b b 0 0 b
b a 0 0 a
a a 0 0 a
a b 0 0 b
c c 0 0 c
c 0 0 0 0
dmin: 1
Weight Enumerator: 1x0 + 1x1 + 1x2 + 5x3 + 0x4 + 0x5
Complete Weight Enumerator: (X_0)5 + (X_0)3 (X_c)2 + (X_0)2 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 + (X_0)2 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 + (X_0)2 (X_c)3 + (X_0)4 (X_c)1
Dual Codewords:
0 0 0 0 0
0 0 0 a 0
0 0 0 b 0
0 0 0 c 0
0 0 a 0 0
0 0 a a 0
0 0 a b 0
0 0 a c 0
0 0 b 0 0
0 0 b a 0
0 0 b b 0
0 0 b c 0
0 0 c 0 0
0 0 c a 0
0 0 c b 0
0 0 c c 0
Is it a nice code?: No
Generator Matrix-75
a a 0 0 a
b b 0 0 b
0 c 0 c 0
Codewords:
0 0 0 0 0
0 c 0 c 0
b b 0 0 b
b a 0 c b
a a 0 0 a
a b 0 c a
c c 0 0 c
c 0 0 c c
dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 4x3 + 2x4 + 0x5
Complete Weight Enumerator: (X_0)5 + (X_0)3 (X_c)2 + (X_0)2 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_c)3 + (X_0)2 (X_c)3
Dual Codewords:
0 0 0 0 0
0 0 0 a 0
0 0 0 b 0
0 0 0 c 0
0 0 a 0 0
0 0 a a 0
0 0 a b 0
0 0 a c 0
0 0 b 0 0
0 0 b a 0
0 0 b b 0
0 0 b c 0
0 0 c 0 0
0 0 c a 0
0 0 c b 0
0 0 c c 0
Is it a nice code?: No
Generator Matrix-76
a a 0 0 a
b b 0 0 b
0 c 0 c c
Codewords:
0 0 0 0 0
0 c 0 c c
b b 0 0 b
b a 0 c a
a a 0 0 a
a b 0 c b
c c 0 0 c
c 0 0 c 0
dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 4x3 + 2x4 + 0x5
Complete Weight Enumerator: (X_0)5 + (X_0)2 (X_c)3 + (X_0)2 (X_b)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_c)3 + (X_0)3 (X_c)2
Dual Codewords:
0 0 0 0 0
0 0 0 a 0
0 0 0 b 0
0 0 0 c 0
0 0 a 0 0
0 0 a a 0
0 0 a b 0
0 0 a c 0
0 0 b 0 0
0 0 b a 0
0 0 b b 0
0 0 b c 0
0 0 c 0 0
0 0 c a 0
0 0 c b 0
0 0 c c 0
Is it a nice code?: No
Generator Matrix-77
a a 0 0 a
b b 0 0 b
0 c c 0 0
Codewords:
0 0 0 0 0
0 c c 0 0
b b 0 0 b
b a c 0 b
a a 0 0 a
a b c 0 a
c c 0 0 c
c 0 c 0 c
dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 4x3 + 2x4 + 0x5
Complete Weight Enumerator: (X_0)5 + (X_0)3 (X_c)2 + (X_0)2 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_c)3 + (X_0)2 (X_c)3
Dual Codewords:
0 0 0 0 0
0 0 0 a 0
0 0 0 b 0
0 0 0 c 0
0 0 a 0 0
0 0 a a 0
0 0 a b 0
0 0 a c 0
0 0 b 0 0
0 0 b a 0
0 0 b b 0
0 0 b c 0
0 0 c 0 0
0 0 c a 0
0 0 c b 0
0 0 c c 0
Is it a nice code?: No
Generator Matrix-78
a a 0 0 a
b b 0 0 b
0 c c 0 c
Codewords:
0 0 0 0 0
0 c c 0 c
b b 0 0 b
b a c 0 a
a a 0 0 a
a b c 0 b
c c 0 0 c
c 0 c 0 0
dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 4x3 + 2x4 + 0x5
Complete Weight Enumerator: (X_0)5 + (X_0)2 (X_c)3 + (X_0)2 (X_b)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_c)3 + (X_0)3 (X_c)2
Dual Codewords:
0 0 0 0 0
0 0 0 a 0
0 0 0 b 0
0 0 0 c 0
0 0 a 0 0
0 0 a a 0
0 0 a b 0
0 0 a c 0
0 0 b 0 0
0 0 b a 0
0 0 b b 0
0 0 b c 0
0 0 c 0 0
0 0 c a 0
0 0 c b 0
0 0 c c 0
Is it a nice code?: No
Generator Matrix-79
a a 0 0 a
b b 0 0 b
0 c c c 0
Codewords:
0 0 0 0 0
0 c c c 0
b b 0 0 b
b a c c b
a a 0 0 a
a b c c a
c c 0 0 c
c 0 c c c
dmin: 3
Weight Enumerator: 1x0 + 0x1 + 0x2 + 4x3 + 1x4 + 2x5
Complete Weight Enumerator: (X_0)5 + (X_0)2 (X_c)3 + (X_0)2 (X_b)3 + (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)3 + (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_c)3 + (X_0)1 (X_c)4
Dual Codewords:
0 0 0 0 0
0 0 0 a 0
0 0 0 b 0
0 0 0 c 0
0 0 a 0 0
0 0 a a 0
0 0 a b 0
0 0 a c 0
0 0 b 0 0
0 0 b a 0
0 0 b b 0
0 0 b c 0
0 0 c 0 0
0 0 c a 0
0 0 c b 0
0 0 c c 0
Is it a nice code?: No
Generator Matrix-80
a a 0 0 a
b b 0 0 b
0 c c c c
Codewords:
0 0 0 0 0
0 c c c c
b b 0 0 b
b a c c a
a a 0 0 a
a b c c b
c c 0 0 c
c 0 c c 0
dmin: 3
Weight Enumerator: 1x0 + 0x1 + 0x2 + 4x3 + 1x4 + 2x5
Complete Weight Enumerator: (X_0)5 + (X_0)1 (X_c)4 + (X_0)2 (X_b)3 + (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)3 + (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_c)3 + (X_0)2 (X_c)3
Dual Codewords:
0 0 0 0 0
0 0 0 a 0
0 0 0 b 0
0 0 0 c 0
0 0 a 0 0
0 0 a a 0
0 0 a b 0
0 0 a c 0
0 0 b 0 0
0 0 b a 0
0 0 b b 0
0 0 b c 0
0 0 c 0 0
0 0 c a 0
0 0 c b 0
0 0 c c 0
Is it a nice code?: No
Generator Matrix-81
a a 0 a 0
b b 0 b 0
0 c 0 0 0
Codewords:
0 0 0 0 0
0 c 0 0 0
b b 0 b 0
b a 0 b 0
a a 0 a 0
a b 0 a 0
c c 0 c 0
c 0 0 c 0
dmin: 1
Weight Enumerator: 1x0 + 1x1 + 1x2 + 5x3 + 0x4 + 0x5
Complete Weight Enumerator: (X_0)5 + (X_0)4 (X_c)1 + (X_0)2 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 + (X_0)2 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 + (X_0)2 (X_c)3 + (X_0)3 (X_c)2
Dual Codewords:
0 0 0 0 0
0 0 0 0 a
0 0 0 0 b
0 0 0 0 c
0 0 a 0 0
0 0 a 0 a
0 0 a 0 b
0 0 a 0 c
0 0 b 0 0
0 0 b 0 a
0 0 b 0 b
0 0 b 0 c
0 0 c 0 0
0 0 c 0 a
0 0 c 0 b
0 0 c 0 c
Is it a nice code?: No
Generator Matrix-82
a a 0 a 0
b b 0 b 0
0 c 0 0 c
Codewords:
0 0 0 0 0
0 c 0 0 c
b b 0 b 0
b a 0 b c
a a 0 a 0
a b 0 a c
c c 0 c 0
c 0 0 c c
dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 4x3 + 2x4 + 0x5
Complete Weight Enumerator: (X_0)5 + (X_0)3 (X_c)2 + (X_0)2 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_c)3 + (X_0)2 (X_c)3
Dual Codewords:
0 0 0 0 0
0 0 0 0 a
0 0 0 0 b
0 0 0 0 c
0 0 a 0 0
0 0 a 0 a
0 0 a 0 b
0 0 a 0 c
0 0 b 0 0
0 0 b 0 a
0 0 b 0 b
0 0 b 0 c
0 0 c 0 0
0 0 c 0 a
0 0 c 0 b
0 0 c 0 c
Is it a nice code?: No
Generator Matrix-83
a a 0 a 0
b b 0 b 0
0 c 0 c 0
Codewords:
0 0 0 0 0
0 c 0 c 0
b b 0 b 0
b a 0 a 0
a a 0 a 0
a b 0 b 0
c c 0 c 0
c 0 0 0 0
dmin: 1
Weight Enumerator: 1x0 + 1x1 + 1x2 + 5x3 + 0x4 + 0x5
Complete Weight Enumerator: (X_0)5 + (X_0)3 (X_c)2 + (X_0)2 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 + (X_0)2 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 + (X_0)2 (X_c)3 + (X_0)4 (X_c)1
Dual Codewords:
0 0 0 0 0
0 0 0 0 a
0 0 0 0 b
0 0 0 0 c
0 0 a 0 0
0 0 a 0 a
0 0 a 0 b
0 0 a 0 c
0 0 b 0 0
0 0 b 0 a
0 0 b 0 b
0 0 b 0 c
0 0 c 0 0
0 0 c 0 a
0 0 c 0 b
0 0 c 0 c
Is it a nice code?: No
Generator Matrix-84
a a 0 a 0
b b 0 b 0
0 c 0 c c
Codewords:
0 0 0 0 0
0 c 0 c c
b b 0 b 0
b a 0 a c
a a 0 a 0
a b 0 b c
c c 0 c 0
c 0 0 0 c
dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 4x3 + 2x4 + 0x5
Complete Weight Enumerator: (X_0)5 + (X_0)2 (X_c)3 + (X_0)2 (X_b)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_c)3 + (X_0)3 (X_c)2
Dual Codewords:
0 0 0 0 0
0 0 0 0 a
0 0 0 0 b
0 0 0 0 c
0 0 a 0 0
0 0 a 0 a
0 0 a 0 b
0 0 a 0 c
0 0 b 0 0
0 0 b 0 a
0 0 b 0 b
0 0 b 0 c
0 0 c 0 0
0 0 c 0 a
0 0 c 0 b
0 0 c 0 c
Is it a nice code?: No
Generator Matrix-85
a a 0 a 0
b b 0 b 0
0 c c 0 0
Codewords:
0 0 0 0 0
0 c c 0 0
b b 0 b 0
b a c b 0
a a 0 a 0
a b c a 0
c c 0 c 0
c 0 c c 0
dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 4x3 + 2x4 + 0x5
Complete Weight Enumerator: (X_0)5 + (X_0)3 (X_c)2 + (X_0)2 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_c)3 + (X_0)2 (X_c)3
Dual Codewords:
0 0 0 0 0
0 0 0 0 a
0 0 0 0 b
0 0 0 0 c
0 0 a 0 0
0 0 a 0 a
0 0 a 0 b
0 0 a 0 c
0 0 b 0 0
0 0 b 0 a
0 0 b 0 b
0 0 b 0 c
0 0 c 0 0
0 0 c 0 a
0 0 c 0 b
0 0 c 0 c
Is it a nice code?: No
Generator Matrix-86
a a 0 a 0
b b 0 b 0
0 c c 0 c
Codewords:
0 0 0 0 0
0 c c 0 c
b b 0 b 0
b a c b c
a a 0 a 0
a b c a c
c c 0 c 0
c 0 c c c
dmin: 3
Weight Enumerator: 1x0 + 0x1 + 0x2 + 4x3 + 1x4 + 2x5
Complete Weight Enumerator: (X_0)5 + (X_0)2 (X_c)3 + (X_0)2 (X_b)3 + (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)3 + (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_c)3 + (X_0)1 (X_c)4
Dual Codewords:
0 0 0 0 0
0 0 0 0 a
0 0 0 0 b
0 0 0 0 c
0 0 a 0 0
0 0 a 0 a
0 0 a 0 b
0 0 a 0 c
0 0 b 0 0
0 0 b 0 a
0 0 b 0 b
0 0 b 0 c
0 0 c 0 0
0 0 c 0 a
0 0 c 0 b
0 0 c 0 c
Is it a nice code?: No
Generator Matrix-87
a a 0 a 0
b b 0 b 0
0 c c c 0
Codewords:
0 0 0 0 0
0 c c c 0
b b 0 b 0
b a c a 0
a a 0 a 0
a b c b 0
c c 0 c 0
c 0 c 0 0
dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 4x3 + 2x4 + 0x5
Complete Weight Enumerator: (X_0)5 + (X_0)2 (X_c)3 + (X_0)2 (X_b)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_c)3 + (X_0)3 (X_c)2
Dual Codewords:
0 0 0 0 0
0 0 0 0 a
0 0 0 0 b
0 0 0 0 c
0 0 a 0 0
0 0 a 0 a
0 0 a 0 b
0 0 a 0 c
0 0 b 0 0
0 0 b 0 a
0 0 b 0 b
0 0 b 0 c
0 0 c 0 0
0 0 c 0 a
0 0 c 0 b
0 0 c 0 c
Is it a nice code?: No
Generator Matrix-88
a a 0 a 0
b b 0 b 0
0 c c c c
Codewords:
0 0 0 0 0
0 c c c c
b b 0 b 0
b a c a c
a a 0 a 0
a b c b c
c c 0 c 0
c 0 c 0 c
dmin: 3
Weight Enumerator: 1x0 + 0x1 + 0x2 + 4x3 + 1x4 + 2x5
Complete Weight Enumerator: (X_0)5 + (X_0)1 (X_c)4 + (X_0)2 (X_b)3 + (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)3 + (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_c)3 + (X_0)2 (X_c)3
Dual Codewords:
0 0 0 0 0
0 0 0 0 a
0 0 0 0 b
0 0 0 0 c
0 0 a 0 0
0 0 a 0 a
0 0 a 0 b
0 0 a 0 c
0 0 b 0 0
0 0 b 0 a
0 0 b 0 b
0 0 b 0 c
0 0 c 0 0
0 0 c 0 a
0 0 c 0 b
0 0 c 0 c
Is it a nice code?: No
Generator Matrix-89
a a 0 a a
b b 0 b b
0 c 0 0 0
Codewords:
0 0 0 0 0
0 c 0 0 0
b b 0 b b
b a 0 b b
a a 0 a a
a b 0 a a
c c 0 c c
c 0 0 c c
dmin: 1
Weight Enumerator: 1x0 + 1x1 + 0x2 + 1x3 + 5x4 + 0x5
Complete Weight Enumerator: (X_0)5 + (X_0)4 (X_c)1 + (X_0)1 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 + (X_0)1 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 + (X_0)1 (X_c)4 + (X_0)2 (X_c)3
Dual Codewords:
0 0 0 0 0
0 0 a 0 0
0 0 b 0 0
0 0 c 0 0
Is it a nice code?: No
Generator Matrix-90
a a 0 a a
b b 0 b b
0 c 0 0 c
Codewords:
0 0 0 0 0
0 c 0 0 c
b b 0 b b
b a 0 b a
a a 0 a a
a b 0 a b
c c 0 c c
c 0 0 c 0
dmin: 2
Weight Enumerator: 1x0 + 0x1 + 2x2 + 0x3 + 5x4 + 0x5
Complete Weight Enumerator: (X_0)5 + (X_0)3 (X_c)2 + (X_0)1 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 + (X_0)1 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 + (X_0)1 (X_c)4 + (X_0)3 (X_c)2
Dual Codewords:
0 0 0 0 0
0 0 a 0 0
0 0 b 0 0
0 0 c 0 0
Is it a nice code?: No
Generator Matrix-91
a a 0 a a
b b 0 b b
0 c 0 c 0
Codewords:
0 0 0 0 0
0 c 0 c 0
b b 0 b b
b a 0 a b
a a 0 a a
a b 0 b a
c c 0 c c
c 0 0 0 c
dmin: 2
Weight Enumerator: 1x0 + 0x1 + 2x2 + 0x3 + 5x4 + 0x5
Complete Weight Enumerator: (X_0)5 + (X_0)3 (X_c)2 + (X_0)1 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 + (X_0)1 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 + (X_0)1 (X_c)4 + (X_0)3 (X_c)2
Dual Codewords:
0 0 0 0 0
0 0 a 0 0
0 0 b 0 0
0 0 c 0 0
Is it a nice code?: No
Generator Matrix-92
a a 0 a a
b b 0 b b
0 c 0 c c
Codewords:
0 0 0 0 0
0 c 0 c c
b b 0 b b
b a 0 a a
a a 0 a a
a b 0 b b
c c 0 c c
c 0 0 0 0
dmin: 1
Weight Enumerator: 1x0 + 1x1 + 0x2 + 1x3 + 5x4 + 0x5
Complete Weight Enumerator: (X_0)5 + (X_0)2 (X_c)3 + (X_0)1 (X_b)4 + (X_0)1 (X_a)3 (X_b)1 + (X_0)1 (X_a)4 + (X_0)1 (X_a)1 (X_b)3 + (X_0)1 (X_c)4 + (X_0)4 (X_c)1
Dual Codewords:
0 0 0 0 0
0 0 a 0 0
0 0 b 0 0
0 0 c 0 0
Is it a nice code?: No
Generator Matrix-93
a a 0 a a
b b 0 b b
0 c c 0 0
Codewords:
0 0 0 0 0
0 c c 0 0
b b 0 b b
b a c b b
a a 0 a a
a b c a a
c c 0 c c
c 0 c c c
dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 0x3 + 4x4 + 2x5
Complete Weight Enumerator: (X_0)5 + (X_0)3 (X_c)2 + (X_0)1 (X_b)4 + (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)4 + (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_c)4 + (X_0)1 (X_c)4
Dual Codewords:
0 0 0 0 0
0 0 a 0 0
0 0 b 0 0
0 0 c 0 0
Is it a nice code?: No
Generator Matrix-94
a a 0 a a
b b 0 b b
0 c c 0 c
Codewords:
0 0 0 0 0
0 c c 0 c
b b 0 b b
b a c b a
a a 0 a a
a b c a b
c c 0 c c
c 0 c c 0
dmin: 3
Weight Enumerator: 1x0 + 0x1 + 0x2 + 2x3 + 3x4 + 2x5
Complete Weight Enumerator: (X_0)5 + (X_0)2 (X_c)3 + (X_0)1 (X_b)4 + (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)4 + (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_c)4 + (X_0)2 (X_c)3
Dual Codewords:
0 0 0 0 0
0 0 a 0 0
0 0 b 0 0
0 0 c 0 0
Is it a nice code?: No
Generator Matrix-95
a a 0 a a
b b 0 b b
0 c c c 0
Codewords:
0 0 0 0 0
0 c c c 0
b b 0 b b
b a c a b
a a 0 a a
a b c b a
c c 0 c c
c 0 c 0 c
dmin: 3
Weight Enumerator: 1x0 + 0x1 + 0x2 + 2x3 + 3x4 + 2x5
Complete Weight Enumerator: (X_0)5 + (X_0)2 (X_c)3 + (X_0)1 (X_b)4 + (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)4 + (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_c)4 + (X_0)2 (X_c)3
Dual Codewords:
0 0 0 0 0
0 0 a 0 0
0 0 b 0 0
0 0 c 0 0
Is it a nice code?: No
Generator Matrix-96
a a 0 a a
b b 0 b b
0 c c c c
Codewords:
0 0 0 0 0
0 c c c c
b b 0 b b
b a c a a
a a 0 a a
a b c b b
c c 0 c c
c 0 c 0 0
dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 0x3 + 4x4 + 2x5
Complete Weight Enumerator: (X_0)5 + (X_0)1 (X_c)4 + (X_0)1 (X_b)4 + (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)4 + (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_c)4 + (X_0)3 (X_c)2
Dual Codewords:
0 0 0 0 0
0 0 a 0 0
0 0 b 0 0
0 0 c 0 0
Is it a nice code?: No
Generator Matrix-97
a a a 0 0
b b b 0 0
0 c 0 0 0
Codewords:
0 0 0 0 0
0 c 0 0 0
b b b 0 0
b a b 0 0
a a a 0 0
a b a 0 0
c c c 0 0
c 0 c 0 0
dmin: 1
Weight Enumerator: 1x0 + 1x1 + 1x2 + 5x3 + 0x4 + 0x5
Complete Weight Enumerator: (X_0)5 + (X_0)4 (X_c)1 + (X_0)2 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 + (X_0)2 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 + (X_0)2 (X_c)3 + (X_0)3 (X_c)2
Dual Codewords:
0 0 0 0 0
0 0 0 0 a
0 0 0 0 b
0 0 0 0 c
0 0 0 a 0
0 0 0 a a
0 0 0 a b
0 0 0 a c
0 0 0 b 0
0 0 0 b a
0 0 0 b b
0 0 0 b c
0 0 0 c 0
0 0 0 c a
0 0 0 c b
0 0 0 c c
Is it a nice code?: No
Generator Matrix-98
a a a 0 0
b b b 0 0
0 c 0 0 c
Codewords:
0 0 0 0 0
0 c 0 0 c
b b b 0 0
b a b 0 c
a a a 0 0
a b a 0 c
c c c 0 0
c 0 c 0 c
dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 4x3 + 2x4 + 0x5
Complete Weight Enumerator: (X_0)5 + (X_0)3 (X_c)2 + (X_0)2 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_c)3 + (X_0)2 (X_c)3
Dual Codewords:
0 0 0 0 0
0 0 0 0 a
0 0 0 0 b
0 0 0 0 c
0 0 0 a 0
0 0 0 a a
0 0 0 a b
0 0 0 a c
0 0 0 b 0
0 0 0 b a
0 0 0 b b
0 0 0 b c
0 0 0 c 0
0 0 0 c a
0 0 0 c b
0 0 0 c c
Is it a nice code?: No
Generator Matrix-99
a a a 0 0
b b b 0 0
0 c 0 c 0
Codewords:
0 0 0 0 0
0 c 0 c 0
b b b 0 0
b a b c 0
a a a 0 0
a b a c 0
c c c 0 0
c 0 c c 0
dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 4x3 + 2x4 + 0x5
Complete Weight Enumerator: (X_0)5 + (X_0)3 (X_c)2 + (X_0)2 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_c)3 + (X_0)2 (X_c)3
Dual Codewords:
0 0 0 0 0
0 0 0 0 a
0 0 0 0 b
0 0 0 0 c
0 0 0 a 0
0 0 0 a a
0 0 0 a b
0 0 0 a c
0 0 0 b 0
0 0 0 b a
0 0 0 b b
0 0 0 b c
0 0 0 c 0
0 0 0 c a
0 0 0 c b
0 0 0 c c
Is it a nice code?: No
Generator Matrix-100
a a a 0 0
b b b 0 0
0 c 0 c c
Codewords:
0 0 0 0 0
0 c 0 c c
b b b 0 0
b a b c c
a a a 0 0
a b a c c
c c c 0 0
c 0 c c c
dmin: 3
Weight Enumerator: 1x0 + 0x1 + 0x2 + 4x3 + 1x4 + 2x5
Complete Weight Enumerator: (X_0)5 + (X_0)2 (X_c)3 + (X_0)2 (X_b)3 + (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)3 + (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_c)3 + (X_0)1 (X_c)4
Dual Codewords:
0 0 0 0 0
0 0 0 0 a
0 0 0 0 b
0 0 0 0 c
0 0 0 a 0
0 0 0 a a
0 0 0 a b
0 0 0 a c
0 0 0 b 0
0 0 0 b a
0 0 0 b b
0 0 0 b c
0 0 0 c 0
0 0 0 c a
0 0 0 c b
0 0 0 c c
Is it a nice code?: No
Generator Matrix-101
a a a 0 0
b b b 0 0
0 c c 0 0
Codewords:
0 0 0 0 0
0 c c 0 0
b b b 0 0
b a a 0 0
a a a 0 0
a b b 0 0
c c c 0 0
c 0 0 0 0
dmin: 1
Weight Enumerator: 1x0 + 1x1 + 1x2 + 5x3 + 0x4 + 0x5
Complete Weight Enumerator: (X_0)5 + (X_0)3 (X_c)2 + (X_0)2 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 + (X_0)2 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 + (X_0)2 (X_c)3 + (X_0)4 (X_c)1
Dual Codewords:
0 0 0 0 0
0 0 0 0 a
0 0 0 0 b
0 0 0 0 c
0 0 0 a 0
0 0 0 a a
0 0 0 a b
0 0 0 a c
0 0 0 b 0
0 0 0 b a
0 0 0 b b
0 0 0 b c
0 0 0 c 0
0 0 0 c a
0 0 0 c b
0 0 0 c c
Is it a nice code?: No
Generator Matrix-102
a a a 0 0
b b b 0 0
0 c c 0 c
Codewords:
0 0 0 0 0
0 c c 0 c
b b b 0 0
b a a 0 c
a a a 0 0
a b b 0 c
c c c 0 0
c 0 0 0 c
dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 4x3 + 2x4 + 0x5
Complete Weight Enumerator: (X_0)5 + (X_0)2 (X_c)3 + (X_0)2 (X_b)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_c)3 + (X_0)3 (X_c)2
Dual Codewords:
0 0 0 0 0
0 0 0 0 a
0 0 0 0 b
0 0 0 0 c
0 0 0 a 0
0 0 0 a a
0 0 0 a b
0 0 0 a c
0 0 0 b 0
0 0 0 b a
0 0 0 b b
0 0 0 b c
0 0 0 c 0
0 0 0 c a
0 0 0 c b
0 0 0 c c
Is it a nice code?: No
Generator Matrix-103
a a a 0 0
b b b 0 0
0 c c c 0
Codewords:
0 0 0 0 0
0 c c c 0
b b b 0 0
b a a c 0
a a a 0 0
a b b c 0
c c c 0 0
c 0 0 c 0
dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 4x3 + 2x4 + 0x5
Complete Weight Enumerator: (X_0)5 + (X_0)2 (X_c)3 + (X_0)2 (X_b)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_c)3 + (X_0)3 (X_c)2
Dual Codewords:
0 0 0 0 0
0 0 0 0 a
0 0 0 0 b
0 0 0 0 c
0 0 0 a 0
0 0 0 a a
0 0 0 a b
0 0 0 a c
0 0 0 b 0
0 0 0 b a
0 0 0 b b
0 0 0 b c
0 0 0 c 0
0 0 0 c a
0 0 0 c b
0 0 0 c c
Is it a nice code?: No
Generator Matrix-104
a a a 0 0
b b b 0 0
0 c c c c
Codewords:
0 0 0 0 0
0 c c c c
b b b 0 0
b a a c c
a a a 0 0
a b b c c
c c c 0 0
c 0 0 c c
dmin: 3
Weight Enumerator: 1x0 + 0x1 + 0x2 + 4x3 + 1x4 + 2x5
Complete Weight Enumerator: (X_0)5 + (X_0)1 (X_c)4 + (X_0)2 (X_b)3 + (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)3 + (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_c)3 + (X_0)2 (X_c)3
Dual Codewords:
0 0 0 0 0
0 0 0 0 a
0 0 0 0 b
0 0 0 0 c
0 0 0 a 0
0 0 0 a a
0 0 0 a b
0 0 0 a c
0 0 0 b 0
0 0 0 b a
0 0 0 b b
0 0 0 b c
0 0 0 c 0
0 0 0 c a
0 0 0 c b
0 0 0 c c
Is it a nice code?: No
Generator Matrix-105
a a a 0 a
b b b 0 b
0 c 0 0 0
Codewords:
0 0 0 0 0
0 c 0 0 0
b b b 0 b
b a b 0 b
a a a 0 a
a b a 0 a
c c c 0 c
c 0 c 0 c
dmin: 1
Weight Enumerator: 1x0 + 1x1 + 0x2 + 1x3 + 5x4 + 0x5
Complete Weight Enumerator: (X_0)5 + (X_0)4 (X_c)1 + (X_0)1 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 + (X_0)1 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 + (X_0)1 (X_c)4 + (X_0)2 (X_c)3
Dual Codewords:
0 0 0 0 0
0 0 0 a 0
0 0 0 b 0
0 0 0 c 0
Is it a nice code?: No
Generator Matrix-106
a a a 0 a
b b b 0 b
0 c 0 0 c
Codewords:
0 0 0 0 0
0 c 0 0 c
b b b 0 b
b a b 0 a
a a a 0 a
a b a 0 b
c c c 0 c
c 0 c 0 0
dmin: 2
Weight Enumerator: 1x0 + 0x1 + 2x2 + 0x3 + 5x4 + 0x5
Complete Weight Enumerator: (X_0)5 + (X_0)3 (X_c)2 + (X_0)1 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 + (X_0)1 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 + (X_0)1 (X_c)4 + (X_0)3 (X_c)2
Dual Codewords:
0 0 0 0 0
0 0 0 a 0
0 0 0 b 0
0 0 0 c 0
Is it a nice code?: No
Generator Matrix-107
a a a 0 a
b b b 0 b
0 c 0 c 0
Codewords:
0 0 0 0 0
0 c 0 c 0
b b b 0 b
b a b c b
a a a 0 a
a b a c a
c c c 0 c
c 0 c c c
dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 0x3 + 4x4 + 2x5
Complete Weight Enumerator: (X_0)5 + (X_0)3 (X_c)2 + (X_0)1 (X_b)4 + (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)4 + (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_c)4 + (X_0)1 (X_c)4
Dual Codewords:
0 0 0 0 0
0 0 0 a 0
0 0 0 b 0
0 0 0 c 0
Is it a nice code?: No
Generator Matrix-108
a a a 0 a
b b b 0 b
0 c 0 c c
Codewords:
0 0 0 0 0
0 c 0 c c
b b b 0 b
b a b c a
a a a 0 a
a b a c b
c c c 0 c
c 0 c c 0
dmin: 3
Weight Enumerator: 1x0 + 0x1 + 0x2 + 2x3 + 3x4 + 2x5
Complete Weight Enumerator: (X_0)5 + (X_0)2 (X_c)3 + (X_0)1 (X_b)4 + (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)4 + (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_c)4 + (X_0)2 (X_c)3
Dual Codewords:
0 0 0 0 0
0 0 0 a 0
0 0 0 b 0
0 0 0 c 0
Is it a nice code?: No
Generator Matrix-109
a a a 0 a
b b b 0 b
0 c c 0 0
Codewords:
0 0 0 0 0
0 c c 0 0
b b b 0 b
b a a 0 b
a a a 0 a
a b b 0 a
c c c 0 c
c 0 0 0 c
dmin: 2
Weight Enumerator: 1x0 + 0x1 + 2x2 + 0x3 + 5x4 + 0x5
Complete Weight Enumerator: (X_0)5 + (X_0)3 (X_c)2 + (X_0)1 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 + (X_0)1 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 + (X_0)1 (X_c)4 + (X_0)3 (X_c)2
Dual Codewords:
0 0 0 0 0
0 0 0 a 0
0 0 0 b 0
0 0 0 c 0
Is it a nice code?: No
Generator Matrix-110
a a a 0 a
b b b 0 b
0 c c 0 c
Codewords:
0 0 0 0 0
0 c c 0 c
b b b 0 b
b a a 0 a
a a a 0 a
a b b 0 b
c c c 0 c
c 0 0 0 0
dmin: 1
Weight Enumerator: 1x0 + 1x1 + 0x2 + 1x3 + 5x4 + 0x5
Complete Weight Enumerator: (X_0)5 + (X_0)2 (X_c)3 + (X_0)1 (X_b)4 + (X_0)1 (X_a)3 (X_b)1 + (X_0)1 (X_a)4 + (X_0)1 (X_a)1 (X_b)3 + (X_0)1 (X_c)4 + (X_0)4 (X_c)1
Dual Codewords:
0 0 0 0 0
0 0 0 a 0
0 0 0 b 0
0 0 0 c 0
Is it a nice code?: No
Generator Matrix-111
a a a 0 a
b b b 0 b
0 c c c 0
Codewords:
0 0 0 0 0
0 c c c 0
b b b 0 b
b a a c b
a a a 0 a
a b b c a
c c c 0 c
c 0 0 c c
dmin: 3
Weight Enumerator: 1x0 + 0x1 + 0x2 + 2x3 + 3x4 + 2x5
Complete Weight Enumerator: (X_0)5 + (X_0)2 (X_c)3 + (X_0)1 (X_b)4 + (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)4 + (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_c)4 + (X_0)2 (X_c)3
Dual Codewords:
0 0 0 0 0
0 0 0 a 0
0 0 0 b 0
0 0 0 c 0
Is it a nice code?: No
Generator Matrix-112
a a a 0 a
b b b 0 b
0 c c c c
Codewords:
0 0 0 0 0
0 c c c c
b b b 0 b
b a a c a
a a a 0 a
a b b c b
c c c 0 c
c 0 0 c 0
dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 0x3 + 4x4 + 2x5
Complete Weight Enumerator: (X_0)5 + (X_0)1 (X_c)4 + (X_0)1 (X_b)4 + (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)4 + (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_c)4 + (X_0)3 (X_c)2
Dual Codewords:
0 0 0 0 0
0 0 0 a 0
0 0 0 b 0
0 0 0 c 0
Is it a nice code?: No
Generator Matrix-113
a a a a 0
b b b b 0
0 c 0 0 0
Codewords:
0 0 0 0 0
0 c 0 0 0
b b b b 0
b a b b 0
a a a a 0
a b a a 0
c c c c 0
c 0 c c 0
dmin: 1
Weight Enumerator: 1x0 + 1x1 + 0x2 + 1x3 + 5x4 + 0x5
Complete Weight Enumerator: (X_0)5 + (X_0)4 (X_c)1 + (X_0)1 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 + (X_0)1 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 + (X_0)1 (X_c)4 + (X_0)2 (X_c)3
Dual Codewords:
0 0 0 0 0
0 0 0 0 a
0 0 0 0 b
0 0 0 0 c
Is it a nice code?: No
Generator Matrix-114
a a a a 0
b b b b 0
0 c 0 0 c
Codewords:
0 0 0 0 0
0 c 0 0 c
b b b b 0
b a b b c
a a a a 0
a b a a c
c c c c 0
c 0 c c c
dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 0x3 + 4x4 + 2x5
Complete Weight Enumerator: (X_0)5 + (X_0)3 (X_c)2 + (X_0)1 (X_b)4 + (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)4 + (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_c)4 + (X_0)1 (X_c)4
Dual Codewords:
0 0 0 0 0
0 0 0 0 a
0 0 0 0 b
0 0 0 0 c
Is it a nice code?: No
Generator Matrix-115
a a a a 0
b b b b 0
0 c 0 c 0
Codewords:
0 0 0 0 0
0 c 0 c 0
b b b b 0
b a b a 0
a a a a 0
a b a b 0
c c c c 0
c 0 c 0 0
dmin: 2
Weight Enumerator: 1x0 + 0x1 + 2x2 + 0x3 + 5x4 + 0x5
Complete Weight Enumerator: (X_0)5 + (X_0)3 (X_c)2 + (X_0)1 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 + (X_0)1 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 + (X_0)1 (X_c)4 + (X_0)3 (X_c)2
Dual Codewords:
0 0 0 0 0
0 0 0 0 a
0 0 0 0 b
0 0 0 0 c
Is it a nice code?: No
Generator Matrix-116
a a a a 0
b b b b 0
0 c 0 c c
Codewords:
0 0 0 0 0
0 c 0 c c
b b b b 0
b a b a c
a a a a 0
a b a b c
c c c c 0
c 0 c 0 c
dmin: 3
Weight Enumerator: 1x0 + 0x1 + 0x2 + 2x3 + 3x4 + 2x5
Complete Weight Enumerator: (X_0)5 + (X_0)2 (X_c)3 + (X_0)1 (X_b)4 + (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)4 + (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_c)4 + (X_0)2 (X_c)3
Dual Codewords:
0 0 0 0 0
0 0 0 0 a
0 0 0 0 b
0 0 0 0 c
Is it a nice code?: No
Generator Matrix-117
a a a a 0
b b b b 0
0 c c 0 0
Codewords:
0 0 0 0 0
0 c c 0 0
b b b b 0
b a a b 0
a a a a 0
a b b a 0
c c c c 0
c 0 0 c 0
dmin: 2
Weight Enumerator: 1x0 + 0x1 + 2x2 + 0x3 + 5x4 + 0x5
Complete Weight Enumerator: (X_0)5 + (X_0)3 (X_c)2 + (X_0)1 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 + (X_0)1 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 + (X_0)1 (X_c)4 + (X_0)3 (X_c)2
Dual Codewords:
0 0 0 0 0
0 0 0 0 a
0 0 0 0 b
0 0 0 0 c
Is it a nice code?: No
Generator Matrix-118
a a a a 0
b b b b 0
0 c c 0 c
Codewords:
0 0 0 0 0
0 c c 0 c
b b b b 0
b a a b c
a a a a 0
a b b a c
c c c c 0
c 0 0 c c
dmin: 3
Weight Enumerator: 1x0 + 0x1 + 0x2 + 2x3 + 3x4 + 2x5
Complete Weight Enumerator: (X_0)5 + (X_0)2 (X_c)3 + (X_0)1 (X_b)4 + (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)4 + (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_c)4 + (X_0)2 (X_c)3
Dual Codewords:
0 0 0 0 0
0 0 0 0 a
0 0 0 0 b
0 0 0 0 c
Is it a nice code?: No
Generator Matrix-119
a a a a 0
b b b b 0
0 c c c 0
Codewords:
0 0 0 0 0
0 c c c 0
b b b b 0
b a a a 0
a a a a 0
a b b b 0
c c c c 0
c 0 0 0 0
dmin: 1
Weight Enumerator: 1x0 + 1x1 + 0x2 + 1x3 + 5x4 + 0x5
Complete Weight Enumerator: (X_0)5 + (X_0)2 (X_c)3 + (X_0)1 (X_b)4 + (X_0)1 (X_a)3 (X_b)1 + (X_0)1 (X_a)4 + (X_0)1 (X_a)1 (X_b)3 + (X_0)1 (X_c)4 + (X_0)4 (X_c)1
Dual Codewords:
0 0 0 0 0
0 0 0 0 a
0 0 0 0 b
0 0 0 0 c
Is it a nice code?: No
Generator Matrix-120
a a a a 0
b b b b 0
0 c c c c
Codewords:
0 0 0 0 0
0 c c c c
b b b b 0
b a a a c
a a a a 0
a b b b c
c c c c 0
c 0 0 0 c
dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 0x3 + 4x4 + 2x5
Complete Weight Enumerator: (X_0)5 + (X_0)1 (X_c)4 + (X_0)1 (X_b)4 + (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)4 + (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_c)4 + (X_0)3 (X_c)2
Dual Codewords:
0 0 0 0 0
0 0 0 0 a
0 0 0 0 b
0 0 0 0 c
Is it a nice code?: No
Generator Matrix-121
a a a a a
b b b b b
0 c 0 0 0
Codewords:
0 0 0 0 0
0 c 0 0 0
b b b b b
b a b b b
a a a a a
a b a a a
c c c c c
c 0 c c c
dmin: 1
Weight Enumerator: 1x0 + 1x1 + 0x2 + 0x3 + 1x4 + 5x5
Complete Weight Enumerator: (X_0)5 + (X_0)4 (X_c)1 + (X_b)5 + (X_a)1 (X_b)4 + (X_a)5 + (X_a)4 (X_b)1 + (X_c)5 + (X_0)1 (X_c)4
Dual Codewords:
0 0 0 0 0
Is it a nice code?: No
Generator Matrix-122
a a a a a
b b b b b
0 c 0 0 c
Codewords:
0 0 0 0 0
0 c 0 0 c
b b b b b
b a b b a
a a a a a
a b a a b
c c c c c
c 0 c c 0
dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 1x3 + 0x4 + 5x5
Complete Weight Enumerator: (X_0)5 + (X_0)3 (X_c)2 + (X_b)5 + (X_a)2 (X_b)3 + (X_a)5 + (X_a)3 (X_b)2 + (X_c)5 + (X_0)2 (X_c)3
Dual Codewords:
0 0 0 0 0
Is it a nice code?: No
Generator Matrix-123
a a a a a
b b b b b
0 c 0 c 0
Codewords:
0 0 0 0 0
0 c 0 c 0
b b b b b
b a b a b
a a a a a
a b a b a
c c c c c
c 0 c 0 c
dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 1x3 + 0x4 + 5x5
Complete Weight Enumerator: (X_0)5 + (X_0)3 (X_c)2 + (X_b)5 + (X_a)2 (X_b)3 + (X_a)5 + (X_a)3 (X_b)2 + (X_c)5 + (X_0)2 (X_c)3
Dual Codewords:
0 0 0 0 0
Is it a nice code?: No
Generator Matrix-124
a a a a a
b b b b b
0 c 0 c c
Codewords:
0 0 0 0 0
0 c 0 c c
b b b b b
b a b a a
a a a a a
a b a b b
c c c c c
c 0 c 0 0
dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 1x3 + 0x4 + 5x5
Complete Weight Enumerator: (X_0)5 + (X_0)2 (X_c)3 + (X_b)5 + (X_a)3 (X_b)2 + (X_a)5 + (X_a)2 (X_b)3 + (X_c)5 + (X_0)3 (X_c)2
Dual Codewords:
0 0 0 0 0
Is it a nice code?: No
Generator Matrix-125
a a a a a
b b b b b
0 c c 0 0
Codewords:
0 0 0 0 0
0 c c 0 0
b b b b b
b a a b b
a a a a a
a b b a a
c c c c c
c 0 0 c c
dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 1x3 + 0x4 + 5x5
Complete Weight Enumerator: (X_0)5 + (X_0)3 (X_c)2 + (X_b)5 + (X_a)2 (X_b)3 + (X_a)5 + (X_a)3 (X_b)2 + (X_c)5 + (X_0)2 (X_c)3
Dual Codewords:
0 0 0 0 0
Is it a nice code?: No
Generator Matrix-126
a a a a a
b b b b b
0 c c 0 c
Codewords:
0 0 0 0 0
0 c c 0 c
b b b b b
b a a b a
a a a a a
a b b a b
c c c c c
c 0 0 c 0
dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 1x3 + 0x4 + 5x5
Complete Weight Enumerator: (X_0)5 + (X_0)2 (X_c)3 + (X_b)5 + (X_a)3 (X_b)2 + (X_a)5 + (X_a)2 (X_b)3 + (X_c)5 + (X_0)3 (X_c)2
Dual Codewords:
0 0 0 0 0
Is it a nice code?: No
Generator Matrix-127
a a a a a
b b b b b
0 c c c 0
Codewords:
0 0 0 0 0
0 c c c 0
b b b b b
b a a a b
a a a a a
a b b b a
c c c c c
c 0 0 0 c
dmin: 2
Weight Enumerator: 1x0 + 0x1 + 1x2 + 1x3 + 0x4 + 5x5
Complete Weight Enumerator: (X_0)5 + (X_0)2 (X_c)3 + (X_b)5 + (X_a)3 (X_b)2 + (X_a)5 + (X_a)2 (X_b)3 + (X_c)5 + (X_0)3 (X_c)2
Dual Codewords:
0 0 0 0 0
Is it a nice code?: No
Generator Matrix-128
a a a a a
b b b b b
0 c c c c
Codewords:
0 0 0 0 0
0 c c c c
b b b b b
b a a a a
a a a a a
a b b b b
c c c c c
c 0 0 0 0
dmin: 1
Weight Enumerator: 1x0 + 1x1 + 0x2 + 0x3 + 1x4 + 5x5
Complete Weight Enumerator: (X_0)5 + (X_0)1 (X_c)4 + (X_b)5 + (X_a)4 (X_b)1 + (X_a)5 + (X_a)1 (X_b)4 + (X_c)5 + (X_0)4 (X_c)1
Dual Codewords:
0 0 0 0 0
Is it a nice code?: No