n=5, k0=1, k1=2
Optimal Minimum Distance: 2
Generator Matrices that generate Codes having Optimal Minimum Distance: 22, 23, 24, 26, 27, 28, 30, 31, 32, 38, 39, 40, 42, 43, 44, 46, 47, 48, 54, 55, 56, 58, 59, 60, 62, 63, 64, 70, 71, 72, 74, 75, 76, 78, 79, 80, 87, 88, 91, 92, 95, 96, 102, 104, 106, 108, 110, 112, 118, 119, 122, 123, 126, 127, 134, 135, 136, 138, 139, 140, 142, 143, 144, 154, 155, 156, 158, 159, 160, 166, 167, 168, 174, 175, 176, 182, 183, 184, 186, 187, 188, 199, 200, 202, 204, 206, 207, 214, 215, 216, 218, 219, 222, 224, 230, 231, 234, 235, 236, 239, 240, 246, 248, 251, 252, 254, 255, 256,
Total No. of Codes having Optimal Minimum Distance: 108
Generator Matrices that generate Nice Codes : 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144,
Total No. of Nice Codes: 64
Generator Matrix-1
a 0 0 0 0
b 0 0 0 0
0 c 0 0 0
0 0 c 0 0
Codewords:
0 0 0 0 0
0 0 c 0 0
0 c 0 0 0
0 c c 0 0
b 0 0 0 0
b 0 c 0 0
b c 0 0 0
b c c 0 0
a 0 0 0 0
a 0 c 0 0
a c 0 0 0
a c c 0 0
c 0 0 0 0
c 0 c 0 0
c c 0 0 0
c c c 0 0
dmin: 1
Weight Enumerator: 1x0 + 5x1 + 7x2 + 3x3 + 0x4 + 0x5
Complete Weight Enumerator: (X_0)5 + (X_0)4 (X_c)1 + (X_0)4 (X_c)1 + (X_0)3 (X_c)2 + (X_0)4 (X_b)1 + (X_0)3 (X_b)1 (X_c)1 + (X_0)3 (X_b)1 (X_c)1 + (X_0)2 (X_b)1 (X_c)2 + (X_0)4 (X_a)1 + (X_0)3 (X_a)1 (X_c)1 + (X_0)3 (X_a)1 (X_c)1 + (X_0)2 (X_a)1 (X_c)2 + (X_0)4 (X_c)1 + (X_0)3 (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
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 0
0 0 c 0 c
Codewords:
0 0 0 0 0
0 0 c 0 c
0 c 0 0 0
0 c c 0 c
b 0 0 0 0
b 0 c 0 c
b c 0 0 0
b c c 0 c
a 0 0 0 0
a 0 c 0 c
a c 0 0 0
a c c 0 c
c 0 0 0 0
c 0 c 0 c
c c 0 0 0
c c c 0 c
dmin: 1
Weight Enumerator: 1x0 + 4x1 + 4x2 + 4x3 + 3x4 + 0x5
Complete Weight Enumerator: (X_0)5 + (X_0)3 (X_c)2 + (X_0)4 (X_c)1 + (X_0)2 (X_c)3 + (X_0)4 (X_b)1 + (X_0)2 (X_b)1 (X_c)2 + (X_0)3 (X_b)1 (X_c)1 + (X_0)1 (X_b)1 (X_c)3 + (X_0)4 (X_a)1 + (X_0)2 (X_a)1 (X_c)2 + (X_0)3 (X_a)1 (X_c)1 + (X_0)1 (X_a)1 (X_c)3 + (X_0)4 (X_c)1 + (X_0)2 (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
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 0 0
0 0 c c 0
Codewords:
0 0 0 0 0
0 0 c c 0
0 c 0 0 0
0 c c c 0
b 0 0 0 0
b 0 c c 0
b c 0 0 0
b c c c 0
a 0 0 0 0
a 0 c c 0
a c 0 0 0
a c c c 0
c 0 0 0 0
c 0 c c 0
c c 0 0 0
c c c c 0
dmin: 1
Weight Enumerator: 1x0 + 4x1 + 4x2 + 4x3 + 3x4 + 0x5
Complete Weight Enumerator: (X_0)5 + (X_0)3 (X_c)2 + (X_0)4 (X_c)1 + (X_0)2 (X_c)3 + (X_0)4 (X_b)1 + (X_0)2 (X_b)1 (X_c)2 + (X_0)3 (X_b)1 (X_c)1 + (X_0)1 (X_b)1 (X_c)3 + (X_0)4 (X_a)1 + (X_0)2 (X_a)1 (X_c)2 + (X_0)3 (X_a)1 (X_c)1 + (X_0)1 (X_a)1 (X_c)3 + (X_0)4 (X_c)1 + (X_0)2 (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
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 0 0
0 0 c c c
Codewords:
0 0 0 0 0
0 0 c c c
0 c 0 0 0
0 c c c c
b 0 0 0 0
b 0 c c c
b c 0 0 0
b c c c c
a 0 0 0 0
a 0 c c c
a c 0 0 0
a c c c c
c 0 0 0 0
c 0 c c c
c c 0 0 0
c c c c c
dmin: 1
Weight Enumerator: 1x0 + 4x1 + 3x2 + 1x3 + 4x4 + 3x5
Complete Weight Enumerator: (X_0)5 + (X_0)2 (X_c)3 + (X_0)4 (X_c)1 + (X_0)1 (X_c)4 + (X_0)4 (X_b)1 + (X_0)1 (X_b)1 (X_c)3 + (X_0)3 (X_b)1 (X_c)1 + (X_b)1 (X_c)4 + (X_0)4 (X_a)1 + (X_0)1 (X_a)1 (X_c)3 + (X_0)3 (X_a)1 (X_c)1 + (X_a)1 (X_c)4 + (X_0)4 (X_c)1 + (X_0)1 (X_c)4 + (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 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 0 0 c
0 0 c 0 0
Codewords:
0 0 0 0 0
0 0 c 0 0
0 c 0 0 c
0 c c 0 c
b 0 0 0 0
b 0 c 0 0
b c 0 0 c
b c c 0 c
a 0 0 0 0
a 0 c 0 0
a c 0 0 c
a c c 0 c
c 0 0 0 0
c 0 c 0 0
c c 0 0 c
c c c 0 c
dmin: 1
Weight Enumerator: 1x0 + 4x1 + 4x2 + 4x3 + 3x4 + 0x5
Complete Weight Enumerator: (X_0)5 + (X_0)4 (X_c)1 + (X_0)3 (X_c)2 + (X_0)2 (X_c)3 + (X_0)4 (X_b)1 + (X_0)3 (X_b)1 (X_c)1 + (X_0)2 (X_b)1 (X_c)2 + (X_0)1 (X_b)1 (X_c)3 + (X_0)4 (X_a)1 + (X_0)3 (X_a)1 (X_c)1 + (X_0)2 (X_a)1 (X_c)2 + (X_0)1 (X_a)1 (X_c)3 + (X_0)4 (X_c)1 + (X_0)3 (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
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 0 0 c
0 0 c 0 c
Codewords:
0 0 0 0 0
0 0 c 0 c
0 c 0 0 c
0 c c 0 0
b 0 0 0 0
b 0 c 0 c
b c 0 0 c
b c c 0 0
a 0 0 0 0
a 0 c 0 c
a c 0 0 c
a c c 0 0
c 0 0 0 0
c 0 c 0 c
c c 0 0 c
c c c 0 0
dmin: 1
Weight Enumerator: 1x0 + 3x1 + 3x2 + 9x3 + 0x4 + 0x5
Complete Weight Enumerator: (X_0)5 + (X_0)3 (X_c)2 + (X_0)3 (X_c)2 + (X_0)3 (X_c)2 + (X_0)4 (X_b)1 + (X_0)2 (X_b)1 (X_c)2 + (X_0)2 (X_b)1 (X_c)2 + (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)2 (X_a)1 (X_c)2 + (X_0)2 (X_a)1 (X_c)2 + (X_0)4 (X_c)1 + (X_0)2 (X_c)3 + (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
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 0 0 c
0 0 c c 0
Codewords:
0 0 0 0 0
0 0 c c 0
0 c 0 0 c
0 c c c c
b 0 0 0 0
b 0 c c 0
b c 0 0 c
b c c c c
a 0 0 0 0
a 0 c c 0
a c 0 0 c
a c c c c
c 0 0 0 0
c 0 c c 0
c c 0 0 c
c c c c c
dmin: 1
Weight Enumerator: 1x0 + 3x1 + 2x2 + 6x3 + 1x4 + 3x5
Complete Weight Enumerator: (X_0)5 + (X_0)3 (X_c)2 + (X_0)3 (X_c)2 + (X_0)1 (X_c)4 + (X_0)4 (X_b)1 + (X_0)2 (X_b)1 (X_c)2 + (X_0)2 (X_b)1 (X_c)2 + (X_b)1 (X_c)4 + (X_0)4 (X_a)1 + (X_0)2 (X_a)1 (X_c)2 + (X_0)2 (X_a)1 (X_c)2 + (X_a)1 (X_c)4 + (X_0)4 (X_c)1 + (X_0)2 (X_c)3 + (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 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 0 0 c
0 0 c c c
Codewords:
0 0 0 0 0
0 0 c c c
0 c 0 0 c
0 c c c 0
b 0 0 0 0
b 0 c c c
b c 0 0 c
b c c c 0
a 0 0 0 0
a 0 c c c
a c 0 0 c
a c c c 0
c 0 0 0 0
c 0 c c c
c c 0 0 c
c c c c 0
dmin: 1
Weight Enumerator: 1x0 + 3x1 + 1x2 + 5x3 + 6x4 + 0x5
Complete Weight Enumerator: (X_0)5 + (X_0)2 (X_c)3 + (X_0)3 (X_c)2 + (X_0)2 (X_c)3 + (X_0)4 (X_b)1 + (X_0)1 (X_b)1 (X_c)3 + (X_0)2 (X_b)1 (X_c)2 + (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)2 (X_a)1 (X_c)2 + (X_0)1 (X_a)1 (X_c)3 + (X_0)4 (X_c)1 + (X_0)1 (X_c)4 + (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
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 0
b 0 0 0 0
0 c 0 c 0
0 0 c 0 0
Codewords:
0 0 0 0 0
0 0 c 0 0
0 c 0 c 0
0 c c c 0
b 0 0 0 0
b 0 c 0 0
b c 0 c 0
b c c c 0
a 0 0 0 0
a 0 c 0 0
a c 0 c 0
a c c c 0
c 0 0 0 0
c 0 c 0 0
c c 0 c 0
c c c c 0
dmin: 1
Weight Enumerator: 1x0 + 4x1 + 4x2 + 4x3 + 3x4 + 0x5
Complete Weight Enumerator: (X_0)5 + (X_0)4 (X_c)1 + (X_0)3 (X_c)2 + (X_0)2 (X_c)3 + (X_0)4 (X_b)1 + (X_0)3 (X_b)1 (X_c)1 + (X_0)2 (X_b)1 (X_c)2 + (X_0)1 (X_b)1 (X_c)3 + (X_0)4 (X_a)1 + (X_0)3 (X_a)1 (X_c)1 + (X_0)2 (X_a)1 (X_c)2 + (X_0)1 (X_a)1 (X_c)3 + (X_0)4 (X_c)1 + (X_0)3 (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
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-10
a 0 0 0 0
b 0 0 0 0
0 c 0 c 0
0 0 c 0 c
Codewords:
0 0 0 0 0
0 0 c 0 c
0 c 0 c 0
0 c c c c
b 0 0 0 0
b 0 c 0 c
b c 0 c 0
b c c c c
a 0 0 0 0
a 0 c 0 c
a c 0 c 0
a c c c c
c 0 0 0 0
c 0 c 0 c
c c 0 c 0
c c c c c
dmin: 1
Weight Enumerator: 1x0 + 3x1 + 2x2 + 6x3 + 1x4 + 3x5
Complete Weight Enumerator: (X_0)5 + (X_0)3 (X_c)2 + (X_0)3 (X_c)2 + (X_0)1 (X_c)4 + (X_0)4 (X_b)1 + (X_0)2 (X_b)1 (X_c)2 + (X_0)2 (X_b)1 (X_c)2 + (X_b)1 (X_c)4 + (X_0)4 (X_a)1 + (X_0)2 (X_a)1 (X_c)2 + (X_0)2 (X_a)1 (X_c)2 + (X_a)1 (X_c)4 + (X_0)4 (X_c)1 + (X_0)2 (X_c)3 + (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 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-11
a 0 0 0 0
b 0 0 0 0
0 c 0 c 0
0 0 c c 0
Codewords:
0 0 0 0 0
0 0 c c 0
0 c 0 c 0
0 c c 0 0
b 0 0 0 0
b 0 c c 0
b c 0 c 0
b c c 0 0
a 0 0 0 0
a 0 c c 0
a c 0 c 0
a c c 0 0
c 0 0 0 0
c 0 c c 0
c c 0 c 0
c c c 0 0
dmin: 1
Weight Enumerator: 1x0 + 3x1 + 3x2 + 9x3 + 0x4 + 0x5
Complete Weight Enumerator: (X_0)5 + (X_0)3 (X_c)2 + (X_0)3 (X_c)2 + (X_0)3 (X_c)2 + (X_0)4 (X_b)1 + (X_0)2 (X_b)1 (X_c)2 + (X_0)2 (X_b)1 (X_c)2 + (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)2 (X_a)1 (X_c)2 + (X_0)2 (X_a)1 (X_c)2 + (X_0)4 (X_c)1 + (X_0)2 (X_c)3 + (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
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-12
a 0 0 0 0
b 0 0 0 0
0 c 0 c 0
0 0 c c c
Codewords:
0 0 0 0 0
0 0 c c c
0 c 0 c 0
0 c c 0 c
b 0 0 0 0
b 0 c c c
b c 0 c 0
b c c 0 c
a 0 0 0 0
a 0 c c c
a c 0 c 0
a c c 0 c
c 0 0 0 0
c 0 c c c
c c 0 c 0
c c c 0 c
dmin: 1
Weight Enumerator: 1x0 + 3x1 + 1x2 + 5x3 + 6x4 + 0x5
Complete Weight Enumerator: (X_0)5 + (X_0)2 (X_c)3 + (X_0)3 (X_c)2 + (X_0)2 (X_c)3 + (X_0)4 (X_b)1 + (X_0)1 (X_b)1 (X_c)3 + (X_0)2 (X_b)1 (X_c)2 + (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)2 (X_a)1 (X_c)2 + (X_0)1 (X_a)1 (X_c)3 + (X_0)4 (X_c)1 + (X_0)1 (X_c)4 + (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
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-13
a 0 0 0 0
b 0 0 0 0
0 c 0 c c
0 0 c 0 0
Codewords:
0 0 0 0 0
0 0 c 0 0
0 c 0 c c
0 c c c c
b 0 0 0 0
b 0 c 0 0
b c 0 c c
b c c c c
a 0 0 0 0
a 0 c 0 0
a c 0 c c
a c c c c
c 0 0 0 0
c 0 c 0 0
c c 0 c c
c c c c c
dmin: 1
Weight Enumerator: 1x0 + 4x1 + 3x2 + 1x3 + 4x4 + 3x5
Complete Weight Enumerator: (X_0)5 + (X_0)4 (X_c)1 + (X_0)2 (X_c)3 + (X_0)1 (X_c)4 + (X_0)4 (X_b)1 + (X_0)3 (X_b)1 (X_c)1 + (X_0)1 (X_b)1 (X_c)3 + (X_b)1 (X_c)4 + (X_0)4 (X_a)1 + (X_0)3 (X_a)1 (X_c)1 + (X_0)1 (X_a)1 (X_c)3 + (X_a)1 (X_c)4 + (X_0)4 (X_c)1 + (X_0)3 (X_c)2 + (X_0)1 (X_c)4 + (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-14
a 0 0 0 0
b 0 0 0 0
0 c 0 c c
0 0 c 0 c
Codewords:
0 0 0 0 0
0 0 c 0 c
0 c 0 c c
0 c c c 0
b 0 0 0 0
b 0 c 0 c
b c 0 c c
b c c c 0
a 0 0 0 0
a 0 c 0 c
a c 0 c c
a c c c 0
c 0 0 0 0
c 0 c 0 c
c c 0 c c
c c c c 0
dmin: 1
Weight Enumerator: 1x0 + 3x1 + 1x2 + 5x3 + 6x4 + 0x5
Complete Weight Enumerator: (X_0)5 + (X_0)3 (X_c)2 + (X_0)2 (X_c)3 + (X_0)2 (X_c)3 + (X_0)4 (X_b)1 + (X_0)2 (X_b)1 (X_c)2 + (X_0)1 (X_b)1 (X_c)3 + (X_0)1 (X_b)1 (X_c)3 + (X_0)4 (X_a)1 + (X_0)2 (X_a)1 (X_c)2 + (X_0)1 (X_a)1 (X_c)3 + (X_0)1 (X_a)1 (X_c)3 + (X_0)4 (X_c)1 + (X_0)2 (X_c)3 + (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
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-15
a 0 0 0 0
b 0 0 0 0
0 c 0 c c
0 0 c c 0
Codewords:
0 0 0 0 0
0 0 c c 0
0 c 0 c c
0 c c 0 c
b 0 0 0 0
b 0 c c 0
b c 0 c c
b c c 0 c
a 0 0 0 0
a 0 c c 0
a c 0 c c
a c c 0 c
c 0 0 0 0
c 0 c c 0
c c 0 c c
c c c 0 c
dmin: 1
Weight Enumerator: 1x0 + 3x1 + 1x2 + 5x3 + 6x4 + 0x5
Complete Weight Enumerator: (X_0)5 + (X_0)3 (X_c)2 + (X_0)2 (X_c)3 + (X_0)2 (X_c)3 + (X_0)4 (X_b)1 + (X_0)2 (X_b)1 (X_c)2 + (X_0)1 (X_b)1 (X_c)3 + (X_0)1 (X_b)1 (X_c)3 + (X_0)4 (X_a)1 + (X_0)2 (X_a)1 (X_c)2 + (X_0)1 (X_a)1 (X_c)3 + (X_0)1 (X_a)1 (X_c)3 + (X_0)4 (X_c)1 + (X_0)2 (X_c)3 + (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
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-16
a 0 0 0 0
b 0 0 0 0
0 c 0 c c
0 0 c c c
Codewords:
0 0 0 0 0
0 0 c c c
0 c 0 c c
0 c c 0 0
b 0 0 0 0
b 0 c c c
b c 0 c c
b c c 0 0
a 0 0 0 0
a 0 c c c
a c 0 c c
a c c 0 0
c 0 0 0 0
c 0 c c c
c c 0 c c
c c c 0 0
dmin: 1
Weight Enumerator: 1x0 + 3x1 + 1x2 + 5x3 + 6x4 + 0x5
Complete Weight Enumerator: (X_0)5 + (X_0)2 (X_c)3 + (X_0)2 (X_c)3 + (X_0)3 (X_c)2 + (X_0)4 (X_b)1 + (X_0)1 (X_b)1 (X_c)3 + (X_0)1 (X_b)1 (X_c)3 + (X_0)2 (X_b)1 (X_c)2 + (X_0)4 (X_a)1 + (X_0)1 (X_a)1 (X_c)3 + (X_0)1 (X_a)1 (X_c)3 + (X_0)2 (X_a)1 (X_c)2 + (X_0)4 (X_c)1 + (X_0)1 (X_c)4 + (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
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-17
a 0 0 0 a
b 0 0 0 b
0 c 0 0 0
0 0 c 0 0
Codewords:
0 0 0 0 0
0 0 c 0 0
0 c 0 0 0
0 c c 0 0
b 0 0 0 b
b 0 c 0 b
b c 0 0 b
b c c 0 b
a 0 0 0 a
a 0 c 0 a
a c 0 0 a
a c c 0 a
c 0 0 0 c
c 0 c 0 c
c c 0 0 c
c c c 0 c
dmin: 1
Weight Enumerator: 1x0 + 2x1 + 4x2 + 6x3 + 3x4 + 0x5
Complete Weight Enumerator: (X_0)5 + (X_0)4 (X_c)1 + (X_0)4 (X_c)1 + (X_0)3 (X_c)2 + (X_0)3 (X_b)2 + (X_0)2 (X_b)2 (X_c)1 + (X_0)2 (X_b)2 (X_c)1 + (X_0)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)2 + (X_0)2 (X_a)2 (X_c)1 + (X_0)2 (X_a)2 (X_c)1 + (X_0)1 (X_a)2 (X_c)2 + (X_0)3 (X_c)2 + (X_0)2 (X_c)3 + (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
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?: Yes
Generator Matrix-18
a 0 0 0 a
b 0 0 0 b
0 c 0 0 0
0 0 c 0 c
Codewords:
0 0 0 0 0
0 0 c 0 c
0 c 0 0 0
0 c c 0 c
b 0 0 0 b
b 0 c 0 a
b c 0 0 b
b c c 0 a
a 0 0 0 a
a 0 c 0 b
a c 0 0 a
a c c 0 b
c 0 0 0 c
c 0 c 0 0
c c 0 0 c
c c c 0 0
dmin: 1
Weight Enumerator: 1x0 + 1x1 + 5x2 + 7x3 + 2x4 + 0x5
Complete Weight Enumerator: (X_0)5 + (X_0)3 (X_c)2 + (X_0)4 (X_c)1 + (X_0)2 (X_c)3 + (X_0)3 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_c)2 + (X_0)3 (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
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?: Yes
Generator Matrix-19
a 0 0 0 a
b 0 0 0 b
0 c 0 0 0
0 0 c c 0
Codewords:
0 0 0 0 0
0 0 c c 0
0 c 0 0 0
0 c c c 0
b 0 0 0 b
b 0 c c b
b c 0 0 b
b c c c b
a 0 0 0 a
a 0 c c a
a c 0 0 a
a c c c a
c 0 0 0 c
c 0 c c c
c c 0 0 c
c c c c c
dmin: 1
Weight Enumerator: 1x0 + 1x1 + 4x2 + 4x3 + 3x4 + 3x5
Complete Weight Enumerator: (X_0)5 + (X_0)3 (X_c)2 + (X_0)4 (X_c)1 + (X_0)2 (X_c)3 + (X_0)3 (X_b)2 + (X_0)1 (X_b)2 (X_c)2 + (X_0)2 (X_b)2 (X_c)1 + (X_b)2 (X_c)3 + (X_0)3 (X_a)2 + (X_0)1 (X_a)2 (X_c)2 + (X_0)2 (X_a)2 (X_c)1 + (X_a)2 (X_c)3 + (X_0)3 (X_c)2 + (X_0)1 (X_c)4 + (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 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?: Yes
Generator Matrix-20
a 0 0 0 a
b 0 0 0 b
0 c 0 0 0
0 0 c c c
Codewords:
0 0 0 0 0
0 0 c c c
0 c 0 0 0
0 c c c c
b 0 0 0 b
b 0 c c a
b c 0 0 b
b c c c a
a 0 0 0 a
a 0 c c b
a c 0 0 a
a c c c b
c 0 0 0 c
c 0 c c 0
c c 0 0 c
c c c c 0
dmin: 1
Weight Enumerator: 1x0 + 1x1 + 3x2 + 5x3 + 4x4 + 2x5
Complete Weight Enumerator: (X_0)5 + (X_0)2 (X_c)3 + (X_0)4 (X_c)1 + (X_0)1 (X_c)4 + (X_0)3 (X_b)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_b)2 (X_c)1 + (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_a)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_c)1 + (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_c)2 + (X_0)2 (X_c)3 + (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
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?: Yes
Generator Matrix-21
a 0 0 0 a
b 0 0 0 b
0 c 0 0 c
0 0 c 0 0
Codewords:
0 0 0 0 0
0 0 c 0 0
0 c 0 0 c
0 c c 0 c
b 0 0 0 b
b 0 c 0 b
b c 0 0 a
b c c 0 a
a 0 0 0 a
a 0 c 0 a
a c 0 0 b
a c c 0 b
c 0 0 0 c
c 0 c 0 c
c c 0 0 0
c c c 0 0
dmin: 1
Weight Enumerator: 1x0 + 1x1 + 5x2 + 7x3 + 2x4 + 0x5
Complete Weight Enumerator: (X_0)5 + (X_0)4 (X_c)1 + (X_0)3 (X_c)2 + (X_0)2 (X_c)3 + (X_0)3 (X_b)2 + (X_0)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_a)2 + (X_0)2 (X_a)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_c)2 + (X_0)2 (X_c)3 + (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?: Yes
Generator Matrix-22
a 0 0 0 a
b 0 0 0 b
0 c 0 0 c
0 0 c 0 c
Codewords:
0 0 0 0 0
0 0 c 0 c
0 c 0 0 c
0 c c 0 0
b 0 0 0 b
b 0 c 0 a
b c 0 0 a
b c c 0 b
a 0 0 0 a
a 0 c 0 b
a c 0 0 b
a c c 0 a
c 0 0 0 c
c 0 c 0 0
c c 0 0 0
c c c 0 c
dmin: 2
Weight Enumerator: 1x0 + 0x1 + 8x2 + 4x3 + 3x4 + 0x5
Complete Weight Enumerator: (X_0)5 + (X_0)3 (X_c)2 + (X_0)3 (X_c)2 + (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)2 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_c)2 + (X_0)3 (X_c)2 + (X_0)3 (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?: Yes
Generator Matrix-23
a 0 0 0 a
b 0 0 0 b
0 c 0 0 c
0 0 c c 0
Codewords:
0 0 0 0 0
0 0 c c 0
0 c 0 0 c
0 c c c c
b 0 0 0 b
b 0 c c b
b c 0 0 a
b c c c a
a 0 0 0 a
a 0 c c a
a c 0 0 b
a c c c b
c 0 0 0 c
c 0 c c c
c c 0 0 0
c c c c 0
dmin: 2
Weight Enumerator: 1x0 + 0x1 + 6x2 + 2x3 + 5x4 + 2x5
Complete Weight Enumerator: (X_0)5 + (X_0)3 (X_c)2 + (X_0)3 (X_c)2 + (X_0)1 (X_c)4 + (X_0)3 (X_b)2 + (X_0)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)1 + (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_a)2 + (X_0)1 (X_a)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)1 + (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_c)2 + (X_0)1 (X_c)4 + (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?: Yes
Generator Matrix-24
a 0 0 0 a
b 0 0 0 b
0 c 0 0 c
0 0 c c c
Codewords:
0 0 0 0 0
0 0 c c c
0 c 0 0 c
0 c c c 0
b 0 0 0 b
b 0 c c a
b c 0 0 a
b c c c b
a 0 0 0 a
a 0 c c b
a c 0 0 b
a c c c a
c 0 0 0 c
c 0 c c 0
c c 0 0 0
c c c c c
dmin: 2
Weight Enumerator: 1x0 + 0x1 + 5x2 + 5x3 + 2x4 + 3x5
Complete Weight Enumerator: (X_0)5 + (X_0)2 (X_c)3 + (X_0)3 (X_c)2 + (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)2 (X_a)1 (X_b)1 (X_c)1 + (X_b)2 (X_c)3 + (X_0)3 (X_a)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)1 + (X_a)2 (X_c)3 + (X_0)3 (X_c)2 + (X_0)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?: Yes
Generator Matrix-25
a 0 0 0 a
b 0 0 0 b
0 c 0 c 0
0 0 c 0 0
Codewords:
0 0 0 0 0
0 0 c 0 0
0 c 0 c 0
0 c c c 0
b 0 0 0 b
b 0 c 0 b
b c 0 c b
b c c c b
a 0 0 0 a
a 0 c 0 a
a c 0 c a
a c c c a
c 0 0 0 c
c 0 c 0 c
c c 0 c c
c c c c c
dmin: 1
Weight Enumerator: 1x0 + 1x1 + 4x2 + 4x3 + 3x4 + 3x5
Complete Weight Enumerator: (X_0)5 + (X_0)4 (X_c)1 + (X_0)3 (X_c)2 + (X_0)2 (X_c)3 + (X_0)3 (X_b)2 + (X_0)2 (X_b)2 (X_c)1 + (X_0)1 (X_b)2 (X_c)2 + (X_b)2 (X_c)3 + (X_0)3 (X_a)2 + (X_0)2 (X_a)2 (X_c)1 + (X_0)1 (X_a)2 (X_c)2 + (X_a)2 (X_c)3 + (X_0)3 (X_c)2 + (X_0)2 (X_c)3 + (X_0)1 (X_c)4 + (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?: Yes
Generator Matrix-26
a 0 0 0 a
b 0 0 0 b
0 c 0 c 0
0 0 c 0 c
Codewords:
0 0 0 0 0
0 0 c 0 c
0 c 0 c 0
0 c c c c
b 0 0 0 b
b 0 c 0 a
b c 0 c b
b c c c a
a 0 0 0 a
a 0 c 0 b
a c 0 c a
a c c c b
c 0 0 0 c
c 0 c 0 0
c c 0 c c
c c c c 0
dmin: 2
Weight Enumerator: 1x0 + 0x1 + 6x2 + 2x3 + 5x4 + 2x5
Complete Weight Enumerator: (X_0)5 + (X_0)3 (X_c)2 + (X_0)3 (X_c)2 + (X_0)1 (X_c)4 + (X_0)3 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_b)2 (X_c)2 + (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_c)2 + (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_c)2 + (X_0)3 (X_c)2 + (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
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?: Yes
Generator Matrix-27
a 0 0 0 a
b 0 0 0 b
0 c 0 c 0
0 0 c c 0
Codewords:
0 0 0 0 0
0 0 c c 0
0 c 0 c 0
0 c c 0 0
b 0 0 0 b
b 0 c c b
b c 0 c b
b c c 0 b
a 0 0 0 a
a 0 c c a
a c 0 c a
a c c 0 a
c 0 0 0 c
c 0 c c c
c c 0 c c
c c c 0 c
dmin: 2
Weight Enumerator: 1x0 + 0x1 + 6x2 + 0x3 + 9x4 + 0x5
Complete Weight Enumerator: (X_0)5 + (X_0)3 (X_c)2 + (X_0)3 (X_c)2 + (X_0)3 (X_c)2 + (X_0)3 (X_b)2 + (X_0)1 (X_b)2 (X_c)2 + (X_0)1 (X_b)2 (X_c)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)1 (X_a)2 (X_c)2 + (X_0)1 (X_a)2 (X_c)2 + (X_0)3 (X_c)2 + (X_0)1 (X_c)4 + (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
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?: Yes
Generator Matrix-28
a 0 0 0 a
b 0 0 0 b
0 c 0 c 0
0 0 c c c
Codewords:
0 0 0 0 0
0 0 c c c
0 c 0 c 0
0 c c 0 c
b 0 0 0 b
b 0 c c a
b c 0 c b
b c c 0 a
a 0 0 0 a
a 0 c c b
a c 0 c a
a c c 0 b
c 0 0 0 c
c 0 c c 0
c c 0 c c
c c c 0 0
dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 4x3 + 7x4 + 0x5
Complete Weight Enumerator: (X_0)5 + (X_0)2 (X_c)3 + (X_0)3 (X_c)2 + (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)1 (X_b)2 (X_c)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)1 (X_a)2 (X_c)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 + (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
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?: Yes
Generator Matrix-29
a 0 0 0 a
b 0 0 0 b
0 c 0 c c
0 0 c 0 0
Codewords:
0 0 0 0 0
0 0 c 0 0
0 c 0 c c
0 c c c c
b 0 0 0 b
b 0 c 0 b
b c 0 c a
b c c c a
a 0 0 0 a
a 0 c 0 a
a c 0 c b
a c c c b
c 0 0 0 c
c 0 c 0 c
c c 0 c 0
c c c c 0
dmin: 1
Weight Enumerator: 1x0 + 1x1 + 3x2 + 5x3 + 4x4 + 2x5
Complete Weight Enumerator: (X_0)5 + (X_0)4 (X_c)1 + (X_0)2 (X_c)3 + (X_0)1 (X_c)4 + (X_0)3 (X_b)2 + (X_0)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)2 + (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_a)2 + (X_0)2 (X_a)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)2 + (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_c)2 + (X_0)2 (X_c)3 + (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
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?: Yes
Generator Matrix-30
a 0 0 0 a
b 0 0 0 b
0 c 0 c c
0 0 c 0 c
Codewords:
0 0 0 0 0
0 0 c 0 c
0 c 0 c c
0 c c c 0
b 0 0 0 b
b 0 c 0 a
b c 0 c a
b c c c b
a 0 0 0 a
a 0 c 0 b
a c 0 c b
a c c c a
c 0 0 0 c
c 0 c 0 0
c c 0 c 0
c c c c c
dmin: 2
Weight Enumerator: 1x0 + 0x1 + 5x2 + 5x3 + 2x4 + 3x5
Complete Weight Enumerator: (X_0)5 + (X_0)3 (X_c)2 + (X_0)2 (X_c)3 + (X_0)2 (X_c)3 + (X_0)3 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)2 + (X_b)2 (X_c)3 + (X_0)3 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)2 + (X_a)2 (X_c)3 + (X_0)3 (X_c)2 + (X_0)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 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?: Yes
Generator Matrix-31
a 0 0 0 a
b 0 0 0 b
0 c 0 c c
0 0 c c 0
Codewords:
0 0 0 0 0
0 0 c c 0
0 c 0 c c
0 c c 0 c
b 0 0 0 b
b 0 c c b
b c 0 c a
b c c 0 a
a 0 0 0 a
a 0 c c a
a c 0 c b
a c c 0 b
c 0 0 0 c
c 0 c c c
c c 0 c 0
c c c 0 0
dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 4x3 + 7x4 + 0x5
Complete Weight Enumerator: (X_0)5 + (X_0)3 (X_c)2 + (X_0)2 (X_c)3 + (X_0)2 (X_c)3 + (X_0)3 (X_b)2 + (X_0)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_a)2 + (X_0)1 (X_a)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_c)2 + (X_0)1 (X_c)4 + (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
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?: Yes
Generator Matrix-32
a 0 0 0 a
b 0 0 0 b
0 c 0 c c
0 0 c c c
Codewords:
0 0 0 0 0
0 0 c c c
0 c 0 c c
0 c c 0 0
b 0 0 0 b
b 0 c c a
b c 0 c a
b c c 0 b
a 0 0 0 a
a 0 c c b
a c 0 c b
a c c 0 a
c 0 0 0 c
c 0 c c 0
c c 0 c 0
c c c 0 c
dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 4x3 + 7x4 + 0x5
Complete Weight Enumerator: (X_0)5 + (X_0)2 (X_c)3 + (X_0)2 (X_c)3 + (X_0)3 (X_c)2 + (X_0)3 (X_b)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_c)2 + (X_0)3 (X_c)2 + (X_0)2 (X_c)3 + (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
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?: Yes
Generator Matrix-33
a 0 0 a 0
b 0 0 b 0
0 c 0 0 0
0 0 c 0 0
Codewords:
0 0 0 0 0
0 0 c 0 0
0 c 0 0 0
0 c c 0 0
b 0 0 b 0
b 0 c b 0
b c 0 b 0
b c c b 0
a 0 0 a 0
a 0 c a 0
a c 0 a 0
a c c a 0
c 0 0 c 0
c 0 c c 0
c c 0 c 0
c c c c 0
dmin: 1
Weight Enumerator: 1x0 + 2x1 + 4x2 + 6x3 + 3x4 + 0x5
Complete Weight Enumerator: (X_0)5 + (X_0)4 (X_c)1 + (X_0)4 (X_c)1 + (X_0)3 (X_c)2 + (X_0)3 (X_b)2 + (X_0)2 (X_b)2 (X_c)1 + (X_0)2 (X_b)2 (X_c)1 + (X_0)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)2 + (X_0)2 (X_a)2 (X_c)1 + (X_0)2 (X_a)2 (X_c)1 + (X_0)1 (X_a)2 (X_c)2 + (X_0)3 (X_c)2 + (X_0)2 (X_c)3 + (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
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?: Yes
Generator Matrix-34
a 0 0 a 0
b 0 0 b 0
0 c 0 0 0
0 0 c 0 c
Codewords:
0 0 0 0 0
0 0 c 0 c
0 c 0 0 0
0 c c 0 c
b 0 0 b 0
b 0 c b c
b c 0 b 0
b c c b c
a 0 0 a 0
a 0 c a c
a c 0 a 0
a c c a c
c 0 0 c 0
c 0 c c c
c c 0 c 0
c c c c c
dmin: 1
Weight Enumerator: 1x0 + 1x1 + 4x2 + 4x3 + 3x4 + 3x5
Complete Weight Enumerator: (X_0)5 + (X_0)3 (X_c)2 + (X_0)4 (X_c)1 + (X_0)2 (X_c)3 + (X_0)3 (X_b)2 + (X_0)1 (X_b)2 (X_c)2 + (X_0)2 (X_b)2 (X_c)1 + (X_b)2 (X_c)3 + (X_0)3 (X_a)2 + (X_0)1 (X_a)2 (X_c)2 + (X_0)2 (X_a)2 (X_c)1 + (X_a)2 (X_c)3 + (X_0)3 (X_c)2 + (X_0)1 (X_c)4 + (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 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?: Yes
Generator Matrix-35
a 0 0 a 0
b 0 0 b 0
0 c 0 0 0
0 0 c c 0
Codewords:
0 0 0 0 0
0 0 c c 0
0 c 0 0 0
0 c c c 0
b 0 0 b 0
b 0 c a 0
b c 0 b 0
b c c a 0
a 0 0 a 0
a 0 c b 0
a c 0 a 0
a c c b 0
c 0 0 c 0
c 0 c 0 0
c c 0 c 0
c c c 0 0
dmin: 1
Weight Enumerator: 1x0 + 1x1 + 5x2 + 7x3 + 2x4 + 0x5
Complete Weight Enumerator: (X_0)5 + (X_0)3 (X_c)2 + (X_0)4 (X_c)1 + (X_0)2 (X_c)3 + (X_0)3 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_c)2 + (X_0)3 (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
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?: Yes
Generator Matrix-36
a 0 0 a 0
b 0 0 b 0
0 c 0 0 0
0 0 c c c
Codewords:
0 0 0 0 0
0 0 c c c
0 c 0 0 0
0 c c c c
b 0 0 b 0
b 0 c a c
b c 0 b 0
b c c a c
a 0 0 a 0
a 0 c b c
a c 0 a 0
a c c b c
c 0 0 c 0
c 0 c 0 c
c c 0 c 0
c c c 0 c
dmin: 1
Weight Enumerator: 1x0 + 1x1 + 3x2 + 5x3 + 4x4 + 2x5
Complete Weight Enumerator: (X_0)5 + (X_0)2 (X_c)3 + (X_0)4 (X_c)1 + (X_0)1 (X_c)4 + (X_0)3 (X_b)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_b)2 (X_c)1 + (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_a)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_c)1 + (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_c)2 + (X_0)2 (X_c)3 + (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
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?: Yes
Generator Matrix-37
a 0 0 a 0
b 0 0 b 0
0 c 0 0 c
0 0 c 0 0
Codewords:
0 0 0 0 0
0 0 c 0 0
0 c 0 0 c
0 c c 0 c
b 0 0 b 0
b 0 c b 0
b c 0 b c
b c c b c
a 0 0 a 0
a 0 c a 0
a c 0 a c
a c c a c
c 0 0 c 0
c 0 c c 0
c c 0 c c
c c c c c
dmin: 1
Weight Enumerator: 1x0 + 1x1 + 4x2 + 4x3 + 3x4 + 3x5
Complete Weight Enumerator: (X_0)5 + (X_0)4 (X_c)1 + (X_0)3 (X_c)2 + (X_0)2 (X_c)3 + (X_0)3 (X_b)2 + (X_0)2 (X_b)2 (X_c)1 + (X_0)1 (X_b)2 (X_c)2 + (X_b)2 (X_c)3 + (X_0)3 (X_a)2 + (X_0)2 (X_a)2 (X_c)1 + (X_0)1 (X_a)2 (X_c)2 + (X_a)2 (X_c)3 + (X_0)3 (X_c)2 + (X_0)2 (X_c)3 + (X_0)1 (X_c)4 + (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?: Yes
Generator Matrix-38
a 0 0 a 0
b 0 0 b 0
0 c 0 0 c
0 0 c 0 c
Codewords:
0 0 0 0 0
0 0 c 0 c
0 c 0 0 c
0 c c 0 0
b 0 0 b 0
b 0 c b c
b c 0 b c
b c c b 0
a 0 0 a 0
a 0 c a c
a c 0 a c
a c c a 0
c 0 0 c 0
c 0 c c c
c c 0 c c
c c c c 0
dmin: 2
Weight Enumerator: 1x0 + 0x1 + 6x2 + 0x3 + 9x4 + 0x5
Complete Weight Enumerator: (X_0)5 + (X_0)3 (X_c)2 + (X_0)3 (X_c)2 + (X_0)3 (X_c)2 + (X_0)3 (X_b)2 + (X_0)1 (X_b)2 (X_c)2 + (X_0)1 (X_b)2 (X_c)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)1 (X_a)2 (X_c)2 + (X_0)1 (X_a)2 (X_c)2 + (X_0)3 (X_c)2 + (X_0)1 (X_c)4 + (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
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?: Yes
Generator Matrix-39
a 0 0 a 0
b 0 0 b 0
0 c 0 0 c
0 0 c c 0
Codewords:
0 0 0 0 0
0 0 c c 0
0 c 0 0 c
0 c c c c
b 0 0 b 0
b 0 c a 0
b c 0 b c
b c c a c
a 0 0 a 0
a 0 c b 0
a c 0 a c
a c c b c
c 0 0 c 0
c 0 c 0 0
c c 0 c c
c c c 0 c
dmin: 2
Weight Enumerator: 1x0 + 0x1 + 6x2 + 2x3 + 5x4 + 2x5
Complete Weight Enumerator: (X_0)5 + (X_0)3 (X_c)2 + (X_0)3 (X_c)2 + (X_0)1 (X_c)4 + (X_0)3 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_b)2 (X_c)2 + (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_c)2 + (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_c)2 + (X_0)3 (X_c)2 + (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
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?: Yes
Generator Matrix-40
a 0 0 a 0
b 0 0 b 0
0 c 0 0 c
0 0 c c c
Codewords:
0 0 0 0 0
0 0 c c c
0 c 0 0 c
0 c c c 0
b 0 0 b 0
b 0 c a c
b c 0 b c
b c c a 0
a 0 0 a 0
a 0 c b c
a c 0 a c
a c c b 0
c 0 0 c 0
c 0 c 0 c
c c 0 c c
c c c 0 0
dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 4x3 + 7x4 + 0x5
Complete Weight Enumerator: (X_0)5 + (X_0)2 (X_c)3 + (X_0)3 (X_c)2 + (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)1 (X_b)2 (X_c)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)1 (X_a)2 (X_c)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 + (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
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?: Yes
Generator Matrix-41
a 0 0 a 0
b 0 0 b 0
0 c 0 c 0
0 0 c 0 0
Codewords:
0 0 0 0 0
0 0 c 0 0
0 c 0 c 0
0 c c c 0
b 0 0 b 0
b 0 c b 0
b c 0 a 0
b c c a 0
a 0 0 a 0
a 0 c a 0
a c 0 b 0
a c c b 0
c 0 0 c 0
c 0 c c 0
c c 0 0 0
c c c 0 0
dmin: 1
Weight Enumerator: 1x0 + 1x1 + 5x2 + 7x3 + 2x4 + 0x5
Complete Weight Enumerator: (X_0)5 + (X_0)4 (X_c)1 + (X_0)3 (X_c)2 + (X_0)2 (X_c)3 + (X_0)3 (X_b)2 + (X_0)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_a)2 + (X_0)2 (X_a)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_c)2 + (X_0)2 (X_c)3 + (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?: Yes
Generator Matrix-42
a 0 0 a 0
b 0 0 b 0
0 c 0 c 0
0 0 c 0 c
Codewords:
0 0 0 0 0
0 0 c 0 c
0 c 0 c 0
0 c c c c
b 0 0 b 0
b 0 c b c
b c 0 a 0
b c c a c
a 0 0 a 0
a 0 c a c
a c 0 b 0
a c c b c
c 0 0 c 0
c 0 c c c
c c 0 0 0
c c c 0 c
dmin: 2
Weight Enumerator: 1x0 + 0x1 + 6x2 + 2x3 + 5x4 + 2x5
Complete Weight Enumerator: (X_0)5 + (X_0)3 (X_c)2 + (X_0)3 (X_c)2 + (X_0)1 (X_c)4 + (X_0)3 (X_b)2 + (X_0)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)1 + (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_a)2 + (X_0)1 (X_a)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)1 + (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_c)2 + (X_0)1 (X_c)4 + (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?: Yes
Generator Matrix-43
a 0 0 a 0
b 0 0 b 0
0 c 0 c 0
0 0 c c 0
Codewords:
0 0 0 0 0
0 0 c c 0
0 c 0 c 0
0 c c 0 0
b 0 0 b 0
b 0 c a 0
b c 0 a 0
b c c b 0
a 0 0 a 0
a 0 c b 0
a c 0 b 0
a c c a 0
c 0 0 c 0
c 0 c 0 0
c c 0 0 0
c c c c 0
dmin: 2
Weight Enumerator: 1x0 + 0x1 + 8x2 + 4x3 + 3x4 + 0x5
Complete Weight Enumerator: (X_0)5 + (X_0)3 (X_c)2 + (X_0)3 (X_c)2 + (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)2 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_c)2 + (X_0)3 (X_c)2 + (X_0)3 (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?: Yes
Generator Matrix-44
a 0 0 a 0
b 0 0 b 0
0 c 0 c 0
0 0 c c c
Codewords:
0 0 0 0 0
0 0 c c c
0 c 0 c 0
0 c c 0 c
b 0 0 b 0
b 0 c a c
b c 0 a 0
b c c b c
a 0 0 a 0
a 0 c b c
a c 0 b 0
a c c a c
c 0 0 c 0
c 0 c 0 c
c c 0 0 0
c c c c c
dmin: 2
Weight Enumerator: 1x0 + 0x1 + 5x2 + 5x3 + 2x4 + 3x5
Complete Weight Enumerator: (X_0)5 + (X_0)2 (X_c)3 + (X_0)3 (X_c)2 + (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)2 (X_a)1 (X_b)1 (X_c)1 + (X_b)2 (X_c)3 + (X_0)3 (X_a)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)1 + (X_a)2 (X_c)3 + (X_0)3 (X_c)2 + (X_0)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?: Yes
Generator Matrix-45
a 0 0 a 0
b 0 0 b 0
0 c 0 c c
0 0 c 0 0
Codewords:
0 0 0 0 0
0 0 c 0 0
0 c 0 c c
0 c c c c
b 0 0 b 0
b 0 c b 0
b c 0 a c
b c c a c
a 0 0 a 0
a 0 c a 0
a c 0 b c
a c c b c
c 0 0 c 0
c 0 c c 0
c c 0 0 c
c c c 0 c
dmin: 1
Weight Enumerator: 1x0 + 1x1 + 3x2 + 5x3 + 4x4 + 2x5
Complete Weight Enumerator: (X_0)5 + (X_0)4 (X_c)1 + (X_0)2 (X_c)3 + (X_0)1 (X_c)4 + (X_0)3 (X_b)2 + (X_0)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)2 + (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_a)2 + (X_0)2 (X_a)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)2 + (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_c)2 + (X_0)2 (X_c)3 + (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
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?: Yes
Generator Matrix-46
a 0 0 a 0
b 0 0 b 0
0 c 0 c c
0 0 c 0 c
Codewords:
0 0 0 0 0
0 0 c 0 c
0 c 0 c c
0 c c c 0
b 0 0 b 0
b 0 c b c
b c 0 a c
b c c a 0
a 0 0 a 0
a 0 c a c
a c 0 b c
a c c b 0
c 0 0 c 0
c 0 c c c
c c 0 0 c
c c c 0 0
dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 4x3 + 7x4 + 0x5
Complete Weight Enumerator: (X_0)5 + (X_0)3 (X_c)2 + (X_0)2 (X_c)3 + (X_0)2 (X_c)3 + (X_0)3 (X_b)2 + (X_0)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_a)2 + (X_0)1 (X_a)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_c)2 + (X_0)1 (X_c)4 + (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
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?: Yes
Generator Matrix-47
a 0 0 a 0
b 0 0 b 0
0 c 0 c c
0 0 c c 0
Codewords:
0 0 0 0 0
0 0 c c 0
0 c 0 c c
0 c c 0 c
b 0 0 b 0
b 0 c a 0
b c 0 a c
b c c b c
a 0 0 a 0
a 0 c b 0
a c 0 b c
a c c a c
c 0 0 c 0
c 0 c 0 0
c c 0 0 c
c c c c c
dmin: 2
Weight Enumerator: 1x0 + 0x1 + 5x2 + 5x3 + 2x4 + 3x5
Complete Weight Enumerator: (X_0)5 + (X_0)3 (X_c)2 + (X_0)2 (X_c)3 + (X_0)2 (X_c)3 + (X_0)3 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)2 + (X_b)2 (X_c)3 + (X_0)3 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)2 + (X_a)2 (X_c)3 + (X_0)3 (X_c)2 + (X_0)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 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?: Yes
Generator Matrix-48
a 0 0 a 0
b 0 0 b 0
0 c 0 c c
0 0 c c c
Codewords:
0 0 0 0 0
0 0 c c c
0 c 0 c c
0 c c 0 0
b 0 0 b 0
b 0 c a c
b c 0 a c
b c c b 0
a 0 0 a 0
a 0 c b c
a c 0 b c
a c c a 0
c 0 0 c 0
c 0 c 0 c
c c 0 0 c
c c c c 0
dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 4x3 + 7x4 + 0x5
Complete Weight Enumerator: (X_0)5 + (X_0)2 (X_c)3 + (X_0)2 (X_c)3 + (X_0)3 (X_c)2 + (X_0)3 (X_b)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_c)2 + (X_0)3 (X_c)2 + (X_0)2 (X_c)3 + (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
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?: Yes
Generator Matrix-49
a 0 0 a a
b 0 0 b b
0 c 0 0 0
0 0 c 0 0
Codewords:
0 0 0 0 0
0 0 c 0 0
0 c 0 0 0
0 c c 0 0
b 0 0 b b
b 0 c b b
b c 0 b b
b c c b b
a 0 0 a a
a 0 c a a
a c 0 a a
a c c a a
c 0 0 c c
c 0 c c c
c c 0 c c
c c c c c
dmin: 1
Weight Enumerator: 1x0 + 2x1 + 1x2 + 3x3 + 6x4 + 3x5
Complete Weight Enumerator: (X_0)5 + (X_0)4 (X_c)1 + (X_0)4 (X_c)1 + (X_0)3 (X_c)2 + (X_0)2 (X_b)3 + (X_0)1 (X_b)3 (X_c)1 + (X_0)1 (X_b)3 (X_c)1 + (X_b)3 (X_c)2 + (X_0)2 (X_a)3 + (X_0)1 (X_a)3 (X_c)1 + (X_0)1 (X_a)3 (X_c)1 + (X_a)3 (X_c)2 + (X_0)2 (X_c)3 + (X_0)1 (X_c)4 + (X_0)1 (X_c)4 + (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-50
a 0 0 a a
b 0 0 b b
0 c 0 0 0
0 0 c 0 c
Codewords:
0 0 0 0 0
0 0 c 0 c
0 c 0 0 0
0 c c 0 c
b 0 0 b b
b 0 c b a
b c 0 b b
b c c b a
a 0 0 a a
a 0 c a b
a c 0 a a
a c c a b
c 0 0 c c
c 0 c c 0
c c 0 c c
c c c c 0
dmin: 1
Weight Enumerator: 1x0 + 1x1 + 1x2 + 5x3 + 6x4 + 2x5
Complete Weight Enumerator: (X_0)5 + (X_0)3 (X_c)2 + (X_0)4 (X_c)1 + (X_0)2 (X_c)3 + (X_0)2 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_b)3 (X_c)1 + (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_c)1 + (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_c)3 + (X_0)2 (X_c)3 + (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
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-51
a 0 0 a a
b 0 0 b b
0 c 0 0 0
0 0 c c 0
Codewords:
0 0 0 0 0
0 0 c c 0
0 c 0 0 0
0 c c c 0
b 0 0 b b
b 0 c a b
b c 0 b b
b c c a b
a 0 0 a a
a 0 c b a
a c 0 a a
a c c b a
c 0 0 c c
c 0 c 0 c
c c 0 c c
c c c 0 c
dmin: 1
Weight Enumerator: 1x0 + 1x1 + 1x2 + 5x3 + 6x4 + 2x5
Complete Weight Enumerator: (X_0)5 + (X_0)3 (X_c)2 + (X_0)4 (X_c)1 + (X_0)2 (X_c)3 + (X_0)2 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_b)3 (X_c)1 + (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_c)1 + (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_c)3 + (X_0)2 (X_c)3 + (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
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-52
a 0 0 a a
b 0 0 b b
0 c 0 0 0
0 0 c c c
Codewords:
0 0 0 0 0
0 0 c c c
0 c 0 0 0
0 c c c c
b 0 0 b b
b 0 c a a
b c 0 b b
b c c a a
a 0 0 a a
a 0 c b b
a c 0 a a
a c c b b
c 0 0 c c
c 0 c 0 0
c c 0 c c
c c c 0 0
dmin: 1
Weight Enumerator: 1x0 + 1x1 + 1x2 + 5x3 + 6x4 + 2x5
Complete Weight Enumerator: (X_0)5 + (X_0)2 (X_c)3 + (X_0)4 (X_c)1 + (X_0)1 (X_c)4 + (X_0)2 (X_b)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_b)3 (X_c)1 + (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_c)1 + (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_c)3 + (X_0)3 (X_c)2 + (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
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-53
a 0 0 a a
b 0 0 b b
0 c 0 0 c
0 0 c 0 0
Codewords:
0 0 0 0 0
0 0 c 0 0
0 c 0 0 c
0 c c 0 c
b 0 0 b b
b 0 c b b
b c 0 b a
b c c b a
a 0 0 a a
a 0 c a a
a c 0 a b
a c c a b
c 0 0 c c
c 0 c c c
c c 0 c 0
c c c c 0
dmin: 1
Weight Enumerator: 1x0 + 1x1 + 1x2 + 5x3 + 6x4 + 2x5
Complete Weight Enumerator: (X_0)5 + (X_0)4 (X_c)1 + (X_0)3 (X_c)2 + (X_0)2 (X_c)3 + (X_0)2 (X_b)3 + (X_0)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)1 + (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)3 + (X_0)1 (X_a)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)1 + (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_c)3 + (X_0)1 (X_c)4 + (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-54
a 0 0 a a
b 0 0 b b
0 c 0 0 c
0 0 c 0 c
Codewords:
0 0 0 0 0
0 0 c 0 c
0 c 0 0 c
0 c c 0 0
b 0 0 b b
b 0 c b a
b c 0 b a
b c c b b
a 0 0 a a
a 0 c a b
a c 0 a b
a c c a a
c 0 0 c c
c 0 c c 0
c c 0 c 0
c c c c c
dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 5x3 + 4x4 + 3x5
Complete Weight Enumerator: (X_0)5 + (X_0)3 (X_c)2 + (X_0)3 (X_c)2 + (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)1 (X_a)1 (X_b)2 (X_c)1 + (X_b)3 (X_c)2 + (X_0)2 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)1 + (X_a)3 (X_c)2 + (X_0)2 (X_c)3 + (X_0)2 (X_c)3 + (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-55
a 0 0 a a
b 0 0 b b
0 c 0 0 c
0 0 c c 0
Codewords:
0 0 0 0 0
0 0 c c 0
0 c 0 0 c
0 c c c c
b 0 0 b b
b 0 c a b
b c 0 b a
b c c a a
a 0 0 a a
a 0 c b a
a c 0 a b
a c c b b
c 0 0 c c
c 0 c 0 c
c c 0 c 0
c c c 0 0
dmin: 2
Weight Enumerator: 1x0 + 0x1 + 2x2 + 6x3 + 5x4 + 2x5
Complete Weight Enumerator: (X_0)5 + (X_0)3 (X_c)2 + (X_0)3 (X_c)2 + (X_0)1 (X_c)4 + (X_0)2 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)1 + (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)1 + (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_c)3 + (X_0)2 (X_c)3 + (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-56
a 0 0 a a
b 0 0 b b
0 c 0 0 c
0 0 c c c
Codewords:
0 0 0 0 0
0 0 c c c
0 c 0 0 c
0 c c c 0
b 0 0 b b
b 0 c a a
b c 0 b a
b c c a b
a 0 0 a a
a 0 c b b
a c 0 a b
a c c b a
c 0 0 c c
c 0 c 0 0
c c 0 c 0
c c c 0 c
dmin: 2
Weight Enumerator: 1x0 + 0x1 + 2x2 + 6x3 + 5x4 + 2x5
Complete Weight Enumerator: (X_0)5 + (X_0)2 (X_c)3 + (X_0)3 (X_c)2 + (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)1 (X_a)1 (X_b)2 (X_c)1 + (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)1 + (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_c)3 + (X_0)3 (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-57
a 0 0 a a
b 0 0 b b
0 c 0 c 0
0 0 c 0 0
Codewords:
0 0 0 0 0
0 0 c 0 0
0 c 0 c 0
0 c c c 0
b 0 0 b b
b 0 c b b
b c 0 a b
b c c a b
a 0 0 a a
a 0 c a a
a c 0 b a
a c c b a
c 0 0 c c
c 0 c c c
c c 0 0 c
c c c 0 c
dmin: 1
Weight Enumerator: 1x0 + 1x1 + 1x2 + 5x3 + 6x4 + 2x5
Complete Weight Enumerator: (X_0)5 + (X_0)4 (X_c)1 + (X_0)3 (X_c)2 + (X_0)2 (X_c)3 + (X_0)2 (X_b)3 + (X_0)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)1 + (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)3 + (X_0)1 (X_a)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)1 + (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_c)3 + (X_0)1 (X_c)4 + (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-58
a 0 0 a a
b 0 0 b b
0 c 0 c 0
0 0 c 0 c
Codewords:
0 0 0 0 0
0 0 c 0 c
0 c 0 c 0
0 c c c c
b 0 0 b b
b 0 c b a
b c 0 a b
b c c a a
a 0 0 a a
a 0 c a b
a c 0 b a
a c c b b
c 0 0 c c
c 0 c c 0
c c 0 0 c
c c c 0 0
dmin: 2
Weight Enumerator: 1x0 + 0x1 + 2x2 + 6x3 + 5x4 + 2x5
Complete Weight Enumerator: (X_0)5 + (X_0)3 (X_c)2 + (X_0)3 (X_c)2 + (X_0)1 (X_c)4 + (X_0)2 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)1 + (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)1 + (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_c)3 + (X_0)2 (X_c)3 + (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-59
a 0 0 a a
b 0 0 b b
0 c 0 c 0
0 0 c c 0
Codewords:
0 0 0 0 0
0 0 c c 0
0 c 0 c 0
0 c c 0 0
b 0 0 b b
b 0 c a b
b c 0 a b
b c c b b
a 0 0 a a
a 0 c b a
a c 0 b a
a c c a a
c 0 0 c c
c 0 c 0 c
c c 0 0 c
c c c c c
dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 5x3 + 4x4 + 3x5
Complete Weight Enumerator: (X_0)5 + (X_0)3 (X_c)2 + (X_0)3 (X_c)2 + (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)1 (X_a)1 (X_b)2 (X_c)1 + (X_b)3 (X_c)2 + (X_0)2 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)1 + (X_a)3 (X_c)2 + (X_0)2 (X_c)3 + (X_0)2 (X_c)3 + (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-60
a 0 0 a a
b 0 0 b b
0 c 0 c 0
0 0 c c c
Codewords:
0 0 0 0 0
0 0 c c c
0 c 0 c 0
0 c c 0 c
b 0 0 b b
b 0 c a a
b c 0 a b
b c c b a
a 0 0 a a
a 0 c b b
a c 0 b a
a c c a b
c 0 0 c c
c 0 c 0 0
c c 0 0 c
c c c c 0
dmin: 2
Weight Enumerator: 1x0 + 0x1 + 2x2 + 6x3 + 5x4 + 2x5
Complete Weight Enumerator: (X_0)5 + (X_0)2 (X_c)3 + (X_0)3 (X_c)2 + (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)1 (X_a)1 (X_b)2 (X_c)1 + (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)1 + (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_c)3 + (X_0)3 (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-61
a 0 0 a a
b 0 0 b b
0 c 0 c c
0 0 c 0 0
Codewords:
0 0 0 0 0
0 0 c 0 0
0 c 0 c c
0 c c c c
b 0 0 b b
b 0 c b b
b c 0 a a
b c c a a
a 0 0 a a
a 0 c a a
a c 0 b b
a c c b b
c 0 0 c c
c 0 c c c
c c 0 0 0
c c c 0 0
dmin: 1
Weight Enumerator: 1x0 + 1x1 + 1x2 + 5x3 + 6x4 + 2x5
Complete Weight Enumerator: (X_0)5 + (X_0)4 (X_c)1 + (X_0)2 (X_c)3 + (X_0)1 (X_c)4 + (X_0)2 (X_b)3 + (X_0)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)1 + (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)3 + (X_0)1 (X_a)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)1 + (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_c)3 + (X_0)1 (X_c)4 + (X_0)3 (X_c)2 + (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-62
a 0 0 a a
b 0 0 b b
0 c 0 c c
0 0 c 0 c
Codewords:
0 0 0 0 0
0 0 c 0 c
0 c 0 c c
0 c c c 0
b 0 0 b b
b 0 c b a
b c 0 a a
b c c a b
a 0 0 a a
a 0 c a b
a c 0 b b
a c c b a
c 0 0 c c
c 0 c c 0
c c 0 0 0
c c c 0 c
dmin: 2
Weight Enumerator: 1x0 + 0x1 + 2x2 + 6x3 + 5x4 + 2x5
Complete Weight Enumerator: (X_0)5 + (X_0)3 (X_c)2 + (X_0)2 (X_c)3 + (X_0)2 (X_c)3 + (X_0)2 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)1 + (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)1 + (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_c)3 + (X_0)2 (X_c)3 + (X_0)3 (X_c)2 + (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-63
a 0 0 a a
b 0 0 b b
0 c 0 c c
0 0 c c 0
Codewords:
0 0 0 0 0
0 0 c c 0
0 c 0 c c
0 c c 0 c
b 0 0 b b
b 0 c a b
b c 0 a a
b c c b a
a 0 0 a a
a 0 c b a
a c 0 b b
a c c a b
c 0 0 c c
c 0 c 0 c
c c 0 0 0
c c c c 0
dmin: 2
Weight Enumerator: 1x0 + 0x1 + 2x2 + 6x3 + 5x4 + 2x5
Complete Weight Enumerator: (X_0)5 + (X_0)3 (X_c)2 + (X_0)2 (X_c)3 + (X_0)2 (X_c)3 + (X_0)2 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)1 + (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)1 + (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_c)3 + (X_0)2 (X_c)3 + (X_0)3 (X_c)2 + (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-64
a 0 0 a a
b 0 0 b b
0 c 0 c c
0 0 c c c
Codewords:
0 0 0 0 0
0 0 c c c
0 c 0 c c
0 c c 0 0
b 0 0 b b
b 0 c a a
b c 0 a a
b c c b b
a 0 0 a a
a 0 c b b
a c 0 b b
a c c a a
c 0 0 c c
c 0 c 0 0
c c 0 0 0
c c c c c
dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 5x3 + 4x4 + 3x5
Complete Weight Enumerator: (X_0)5 + (X_0)2 (X_c)3 + (X_0)2 (X_c)3 + (X_0)3 (X_c)2 + (X_0)2 (X_b)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)1 + (X_b)3 (X_c)2 + (X_0)2 (X_a)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)1 + (X_a)3 (X_c)2 + (X_0)2 (X_c)3 + (X_0)3 (X_c)2 + (X_0)3 (X_c)2 + (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-65
a 0 a 0 0
b 0 b 0 0
0 c 0 0 0
0 0 c 0 0
Codewords:
0 0 0 0 0
0 0 c 0 0
0 c 0 0 0
0 c c 0 0
b 0 b 0 0
b 0 a 0 0
b c b 0 0
b c a 0 0
a 0 a 0 0
a 0 b 0 0
a c a 0 0
a c b 0 0
c 0 c 0 0
c 0 0 0 0
c c c 0 0
c c 0 0 0
dmin: 1
Weight Enumerator: 1x0 + 3x1 + 7x2 + 5x3 + 0x4 + 0x5
Complete Weight Enumerator: (X_0)5 + (X_0)4 (X_c)1 + (X_0)4 (X_c)1 + (X_0)3 (X_c)2 + (X_0)3 (X_b)2 + (X_0)3 (X_a)1 (X_b)1 + (X_0)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)1 + (X_0)3 (X_a)2 + (X_0)3 (X_a)1 (X_b)1 + (X_0)2 (X_a)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)1 + (X_0)3 (X_c)2 + (X_0)4 (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
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?: Yes
Generator Matrix-66
a 0 a 0 0
b 0 b 0 0
0 c 0 0 0
0 0 c 0 c
Codewords:
0 0 0 0 0
0 0 c 0 c
0 c 0 0 0
0 c c 0 c
b 0 b 0 0
b 0 a 0 c
b c b 0 0
b c a 0 c
a 0 a 0 0
a 0 b 0 c
a c a 0 0
a c b 0 c
c 0 c 0 0
c 0 0 0 c
c c c 0 0
c c 0 0 c
dmin: 1
Weight Enumerator: 1x0 + 1x1 + 5x2 + 7x3 + 2x4 + 0x5
Complete Weight Enumerator: (X_0)5 + (X_0)3 (X_c)2 + (X_0)4 (X_c)1 + (X_0)2 (X_c)3 + (X_0)3 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_c)2 + (X_0)3 (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
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?: Yes
Generator Matrix-67
a 0 a 0 0
b 0 b 0 0
0 c 0 0 0
0 0 c c 0
Codewords:
0 0 0 0 0
0 0 c c 0
0 c 0 0 0
0 c c c 0
b 0 b 0 0
b 0 a c 0
b c b 0 0
b c a c 0
a 0 a 0 0
a 0 b c 0
a c a 0 0
a c b c 0
c 0 c 0 0
c 0 0 c 0
c c c 0 0
c c 0 c 0
dmin: 1
Weight Enumerator: 1x0 + 1x1 + 5x2 + 7x3 + 2x4 + 0x5
Complete Weight Enumerator: (X_0)5 + (X_0)3 (X_c)2 + (X_0)4 (X_c)1 + (X_0)2 (X_c)3 + (X_0)3 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_c)2 + (X_0)3 (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
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?: Yes
Generator Matrix-68
a 0 a 0 0
b 0 b 0 0
0 c 0 0 0
0 0 c c c
Codewords:
0 0 0 0 0
0 0 c c c
0 c 0 0 0
0 c c c c
b 0 b 0 0
b 0 a c c
b c b 0 0
b c a c c
a 0 a 0 0
a 0 b c c
a c a 0 0
a c b c c
c 0 c 0 0
c 0 0 c c
c c c 0 0
c c 0 c c
dmin: 1
Weight Enumerator: 1x0 + 1x1 + 3x2 + 5x3 + 4x4 + 2x5
Complete Weight Enumerator: (X_0)5 + (X_0)2 (X_c)3 + (X_0)4 (X_c)1 + (X_0)1 (X_c)4 + (X_0)3 (X_b)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_b)2 (X_c)1 + (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_a)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_c)1 + (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_c)2 + (X_0)2 (X_c)3 + (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
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?: Yes
Generator Matrix-69
a 0 a 0 0
b 0 b 0 0
0 c 0 0 c
0 0 c 0 0
Codewords:
0 0 0 0 0
0 0 c 0 0
0 c 0 0 c
0 c c 0 c
b 0 b 0 0
b 0 a 0 0
b c b 0 c
b c a 0 c
a 0 a 0 0
a 0 b 0 0
a c a 0 c
a c b 0 c
c 0 c 0 0
c 0 0 0 0
c c c 0 c
c c 0 0 c
dmin: 1
Weight Enumerator: 1x0 + 2x1 + 6x2 + 2x3 + 5x4 + 0x5
Complete Weight Enumerator: (X_0)5 + (X_0)4 (X_c)1 + (X_0)3 (X_c)2 + (X_0)2 (X_c)3 + (X_0)3 (X_b)2 + (X_0)3 (X_a)1 (X_b)1 + (X_0)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_a)2 + (X_0)3 (X_a)1 (X_b)1 + (X_0)1 (X_a)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_c)2 + (X_0)4 (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
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?: Yes
Generator Matrix-70
a 0 a 0 0
b 0 b 0 0
0 c 0 0 c
0 0 c 0 c
Codewords:
0 0 0 0 0
0 0 c 0 c
0 c 0 0 c
0 c c 0 0
b 0 b 0 0
b 0 a 0 c
b c b 0 c
b c a 0 0
a 0 a 0 0
a 0 b 0 c
a c a 0 c
a c b 0 0
c 0 c 0 0
c 0 0 0 c
c c c 0 c
c c 0 0 0
dmin: 2
Weight Enumerator: 1x0 + 0x1 + 8x2 + 4x3 + 3x4 + 0x5
Complete Weight Enumerator: (X_0)5 + (X_0)3 (X_c)2 + (X_0)3 (X_c)2 + (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)1 (X_b)2 (X_c)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)1 (X_a)2 (X_c)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 + (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
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?: Yes
Generator Matrix-71
a 0 a 0 0
b 0 b 0 0
0 c 0 0 c
0 0 c c 0
Codewords:
0 0 0 0 0
0 0 c c 0
0 c 0 0 c
0 c c c c
b 0 b 0 0
b 0 a c 0
b c b 0 c
b c a c c
a 0 a 0 0
a 0 b c 0
a c a 0 c
a c b c c
c 0 c 0 0
c 0 0 c 0
c c c 0 c
c c 0 c c
dmin: 2
Weight Enumerator: 1x0 + 0x1 + 6x2 + 2x3 + 5x4 + 2x5
Complete Weight Enumerator: (X_0)5 + (X_0)3 (X_c)2 + (X_0)3 (X_c)2 + (X_0)1 (X_c)4 + (X_0)3 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_b)2 (X_c)2 + (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_c)2 + (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_c)2 + (X_0)3 (X_c)2 + (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
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?: Yes
Generator Matrix-72
a 0 a 0 0
b 0 b 0 0
0 c 0 0 c
0 0 c c c
Codewords:
0 0 0 0 0
0 0 c c c
0 c 0 0 c
0 c c c 0
b 0 b 0 0
b 0 a c c
b c b 0 c
b c a c 0
a 0 a 0 0
a 0 b c c
a c a 0 c
a c b c 0
c 0 c 0 0
c 0 0 c c
c c c 0 c
c c 0 c 0
dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 4x3 + 7x4 + 0x5
Complete Weight Enumerator: (X_0)5 + (X_0)2 (X_c)3 + (X_0)3 (X_c)2 + (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)1 (X_b)2 (X_c)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)1 (X_a)2 (X_c)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 + (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
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?: Yes
Generator Matrix-73
a 0 a 0 0
b 0 b 0 0
0 c 0 c 0
0 0 c 0 0
Codewords:
0 0 0 0 0
0 0 c 0 0
0 c 0 c 0
0 c c c 0
b 0 b 0 0
b 0 a 0 0
b c b c 0
b c a c 0
a 0 a 0 0
a 0 b 0 0
a c a c 0
a c b c 0
c 0 c 0 0
c 0 0 0 0
c c c c 0
c c 0 c 0
dmin: 1
Weight Enumerator: 1x0 + 2x1 + 6x2 + 2x3 + 5x4 + 0x5
Complete Weight Enumerator: (X_0)5 + (X_0)4 (X_c)1 + (X_0)3 (X_c)2 + (X_0)2 (X_c)3 + (X_0)3 (X_b)2 + (X_0)3 (X_a)1 (X_b)1 + (X_0)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_a)2 + (X_0)3 (X_a)1 (X_b)1 + (X_0)1 (X_a)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_c)2 + (X_0)4 (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
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?: Yes
Generator Matrix-74
a 0 a 0 0
b 0 b 0 0
0 c 0 c 0
0 0 c 0 c
Codewords:
0 0 0 0 0
0 0 c 0 c
0 c 0 c 0
0 c c c c
b 0 b 0 0
b 0 a 0 c
b c b c 0
b c a c c
a 0 a 0 0
a 0 b 0 c
a c a c 0
a c b c c
c 0 c 0 0
c 0 0 0 c
c c c c 0
c c 0 c c
dmin: 2
Weight Enumerator: 1x0 + 0x1 + 6x2 + 2x3 + 5x4 + 2x5
Complete Weight Enumerator: (X_0)5 + (X_0)3 (X_c)2 + (X_0)3 (X_c)2 + (X_0)1 (X_c)4 + (X_0)3 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_b)2 (X_c)2 + (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_c)2 + (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_c)2 + (X_0)3 (X_c)2 + (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
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?: Yes
Generator Matrix-75
a 0 a 0 0
b 0 b 0 0
0 c 0 c 0
0 0 c c 0
Codewords:
0 0 0 0 0
0 0 c c 0
0 c 0 c 0
0 c c 0 0
b 0 b 0 0
b 0 a c 0
b c b c 0
b c a 0 0
a 0 a 0 0
a 0 b c 0
a c a c 0
a c b 0 0
c 0 c 0 0
c 0 0 c 0
c c c c 0
c c 0 0 0
dmin: 2
Weight Enumerator: 1x0 + 0x1 + 8x2 + 4x3 + 3x4 + 0x5
Complete Weight Enumerator: (X_0)5 + (X_0)3 (X_c)2 + (X_0)3 (X_c)2 + (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)1 (X_b)2 (X_c)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)1 (X_a)2 (X_c)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 + (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
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?: Yes
Generator Matrix-76
a 0 a 0 0
b 0 b 0 0
0 c 0 c 0
0 0 c c c
Codewords:
0 0 0 0 0
0 0 c c c
0 c 0 c 0
0 c c 0 c
b 0 b 0 0
b 0 a c c
b c b c 0
b c a 0 c
a 0 a 0 0
a 0 b c c
a c a c 0
a c b 0 c
c 0 c 0 0
c 0 0 c c
c c c c 0
c c 0 0 c
dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 4x3 + 7x4 + 0x5
Complete Weight Enumerator: (X_0)5 + (X_0)2 (X_c)3 + (X_0)3 (X_c)2 + (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)1 (X_b)2 (X_c)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)1 (X_a)2 (X_c)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 + (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
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?: Yes
Generator Matrix-77
a 0 a 0 0
b 0 b 0 0
0 c 0 c c
0 0 c 0 0
Codewords:
0 0 0 0 0
0 0 c 0 0
0 c 0 c c
0 c c c c
b 0 b 0 0
b 0 a 0 0
b c b c c
b c a c c
a 0 a 0 0
a 0 b 0 0
a c a c c
a c b c c
c 0 c 0 0
c 0 0 0 0
c c c c c
c c 0 c c
dmin: 1
Weight Enumerator: 1x0 + 2x1 + 5x2 + 1x3 + 2x4 + 5x5
Complete Weight Enumerator: (X_0)5 + (X_0)4 (X_c)1 + (X_0)2 (X_c)3 + (X_0)1 (X_c)4 + (X_0)3 (X_b)2 + (X_0)3 (X_a)1 (X_b)1 + (X_b)2 (X_c)3 + (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_a)2 + (X_0)3 (X_a)1 (X_b)1 + (X_a)2 (X_c)3 + (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_c)2 + (X_0)4 (X_c)1 + (X_c)5 + (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?: Yes
Generator Matrix-78
a 0 a 0 0
b 0 b 0 0
0 c 0 c c
0 0 c 0 c
Codewords:
0 0 0 0 0
0 0 c 0 c
0 c 0 c c
0 c c c 0
b 0 b 0 0
b 0 a 0 c
b c b c c
b c a c 0
a 0 a 0 0
a 0 b 0 c
a c a c c
a c b c 0
c 0 c 0 0
c 0 0 0 c
c c c c c
c c 0 c 0
dmin: 2
Weight Enumerator: 1x0 + 0x1 + 5x2 + 5x3 + 2x4 + 3x5
Complete Weight Enumerator: (X_0)5 + (X_0)3 (X_c)2 + (X_0)2 (X_c)3 + (X_0)2 (X_c)3 + (X_0)3 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)1 + (X_b)2 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)1 + (X_a)2 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_c)2 + (X_0)3 (X_c)2 + (X_c)5 + (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?: Yes
Generator Matrix-79
a 0 a 0 0
b 0 b 0 0
0 c 0 c c
0 0 c c 0
Codewords:
0 0 0 0 0
0 0 c c 0
0 c 0 c c
0 c c 0 c
b 0 b 0 0
b 0 a c 0
b c b c c
b c a 0 c
a 0 a 0 0
a 0 b c 0
a c a c c
a c b 0 c
c 0 c 0 0
c 0 0 c 0
c c c c c
c c 0 0 c
dmin: 2
Weight Enumerator: 1x0 + 0x1 + 5x2 + 5x3 + 2x4 + 3x5
Complete Weight Enumerator: (X_0)5 + (X_0)3 (X_c)2 + (X_0)2 (X_c)3 + (X_0)2 (X_c)3 + (X_0)3 (X_b)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)1 + (X_b)2 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_a)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)1 + (X_a)2 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_c)2 + (X_0)3 (X_c)2 + (X_c)5 + (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?: Yes
Generator Matrix-80
a 0 a 0 0
b 0 b 0 0
0 c 0 c c
0 0 c c c
Codewords:
0 0 0 0 0
0 0 c c c
0 c 0 c c
0 c c 0 0
b 0 b 0 0
b 0 a c c
b c b c c
b c a 0 0
a 0 a 0 0
a 0 b c c
a c a c c
a c b 0 0
c 0 c 0 0
c 0 0 c c
c c c c c
c c 0 0 0
dmin: 2
Weight Enumerator: 1x0 + 0x1 + 5x2 + 5x3 + 2x4 + 3x5
Complete Weight Enumerator: (X_0)5 + (X_0)2 (X_c)3 + (X_0)2 (X_c)3 + (X_0)3 (X_c)2 + (X_0)3 (X_b)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)2 + (X_b)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)1 + (X_0)3 (X_a)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)2 + (X_a)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)1 + (X_0)3 (X_c)2 + (X_0)2 (X_c)3 + (X_c)5 + (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?: Yes
Generator Matrix-81
a 0 a 0 a
b 0 b 0 b
0 c 0 0 0
0 0 c 0 0
Codewords:
0 0 0 0 0
0 0 c 0 0
0 c 0 0 0
0 c c 0 0
b 0 b 0 b
b 0 a 0 b
b c b 0 b
b c a 0 b
a 0 a 0 a
a 0 b 0 a
a c a 0 a
a c b 0 a
c 0 c 0 c
c 0 0 0 c
c c c 0 c
c c 0 0 c
dmin: 1
Weight Enumerator: 1x0 + 2x1 + 2x2 + 6x3 + 5x4 + 0x5
Complete Weight Enumerator: (X_0)5 + (X_0)4 (X_c)1 + (X_0)4 (X_c)1 + (X_0)3 (X_c)2 + (X_0)2 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 + (X_0)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 + (X_0)1 (X_a)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_c)3 + (X_0)3 (X_c)2 + (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
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-82
a 0 a 0 a
b 0 b 0 b
0 c 0 0 0
0 0 c 0 c
Codewords:
0 0 0 0 0
0 0 c 0 c
0 c 0 0 0
0 c c 0 c
b 0 b 0 b
b 0 a 0 a
b c b 0 b
b c a 0 a
a 0 a 0 a
a 0 b 0 b
a c a 0 a
a c b 0 b
c 0 c 0 c
c 0 0 0 0
c c c 0 c
c c 0 0 0
dmin: 1
Weight Enumerator: 1x0 + 2x1 + 2x2 + 6x3 + 5x4 + 0x5
Complete Weight Enumerator: (X_0)5 + (X_0)3 (X_c)2 + (X_0)4 (X_c)1 + (X_0)2 (X_c)3 + (X_0)2 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 + (X_0)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 + (X_0)1 (X_a)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_c)3 + (X_0)4 (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
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-83
a 0 a 0 a
b 0 b 0 b
0 c 0 0 0
0 0 c c 0
Codewords:
0 0 0 0 0
0 0 c c 0
0 c 0 0 0
0 c c c 0
b 0 b 0 b
b 0 a c b
b c b 0 b
b c a c b
a 0 a 0 a
a 0 b c a
a c a 0 a
a c b c a
c 0 c 0 c
c 0 0 c c
c c c 0 c
c c 0 c c
dmin: 1
Weight Enumerator: 1x0 + 1x1 + 1x2 + 5x3 + 6x4 + 2x5
Complete Weight Enumerator: (X_0)5 + (X_0)3 (X_c)2 + (X_0)4 (X_c)1 + (X_0)2 (X_c)3 + (X_0)2 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_b)3 (X_c)1 + (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_c)1 + (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_c)3 + (X_0)2 (X_c)3 + (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
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-84
a 0 a 0 a
b 0 b 0 b
0 c 0 0 0
0 0 c c c
Codewords:
0 0 0 0 0
0 0 c c c
0 c 0 0 0
0 c c c c
b 0 b 0 b
b 0 a c a
b c b 0 b
b c a c a
a 0 a 0 a
a 0 b c b
a c a 0 a
a c b c b
c 0 c 0 c
c 0 0 c 0
c c c 0 c
c c 0 c 0
dmin: 1
Weight Enumerator: 1x0 + 1x1 + 1x2 + 5x3 + 6x4 + 2x5
Complete Weight Enumerator: (X_0)5 + (X_0)2 (X_c)3 + (X_0)4 (X_c)1 + (X_0)1 (X_c)4 + (X_0)2 (X_b)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_b)3 (X_c)1 + (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_c)1 + (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_c)3 + (X_0)3 (X_c)2 + (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
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-85
a 0 a 0 a
b 0 b 0 b
0 c 0 0 c
0 0 c 0 0
Codewords:
0 0 0 0 0
0 0 c 0 0
0 c 0 0 c
0 c c 0 c
b 0 b 0 b
b 0 a 0 b
b c b 0 a
b c a 0 a
a 0 a 0 a
a 0 b 0 a
a c a 0 b
a c b 0 b
c 0 c 0 c
c 0 0 0 c
c c c 0 0
c c 0 0 0
dmin: 1
Weight Enumerator: 1x0 + 1x1 + 3x2 + 7x3 + 4x4 + 0x5
Complete Weight Enumerator: (X_0)5 + (X_0)4 (X_c)1 + (X_0)3 (X_c)2 + (X_0)2 (X_c)3 + (X_0)2 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_c)3 + (X_0)3 (X_c)2 + (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-86
a 0 a 0 a
b 0 b 0 b
0 c 0 0 c
0 0 c 0 c
Codewords:
0 0 0 0 0
0 0 c 0 c
0 c 0 0 c
0 c c 0 0
b 0 b 0 b
b 0 a 0 a
b c b 0 a
b c a 0 b
a 0 a 0 a
a 0 b 0 b
a c a 0 b
a c b 0 a
c 0 c 0 c
c 0 0 0 0
c c c 0 0
c c 0 0 c
dmin: 1
Weight Enumerator: 1x0 + 1x1 + 3x2 + 7x3 + 4x4 + 0x5
Complete Weight Enumerator: (X_0)5 + (X_0)3 (X_c)2 + (X_0)3 (X_c)2 + (X_0)3 (X_c)2 + (X_0)2 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_c)3 + (X_0)4 (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-87
a 0 a 0 a
b 0 b 0 b
0 c 0 0 c
0 0 c c 0
Codewords:
0 0 0 0 0
0 0 c c 0
0 c 0 0 c
0 c c c c
b 0 b 0 b
b 0 a c b
b c b 0 a
b c a c a
a 0 a 0 a
a 0 b c a
a c a 0 b
a c b c b
c 0 c 0 c
c 0 0 c c
c c c 0 0
c c 0 c 0
dmin: 2
Weight Enumerator: 1x0 + 0x1 + 2x2 + 6x3 + 5x4 + 2x5
Complete Weight Enumerator: (X_0)5 + (X_0)3 (X_c)2 + (X_0)3 (X_c)2 + (X_0)1 (X_c)4 + (X_0)2 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)1 + (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)1 + (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_c)3 + (X_0)2 (X_c)3 + (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-88
a 0 a 0 a
b 0 b 0 b
0 c 0 0 c
0 0 c c c
Codewords:
0 0 0 0 0
0 0 c c c
0 c 0 0 c
0 c c c 0
b 0 b 0 b
b 0 a c a
b c b 0 a
b c a c b
a 0 a 0 a
a 0 b c b
a c a 0 b
a c b c a
c 0 c 0 c
c 0 0 c 0
c c c 0 0
c c 0 c c
dmin: 2
Weight Enumerator: 1x0 + 0x1 + 2x2 + 6x3 + 5x4 + 2x5
Complete Weight Enumerator: (X_0)5 + (X_0)2 (X_c)3 + (X_0)3 (X_c)2 + (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)1 (X_a)1 (X_b)2 (X_c)1 + (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)1 + (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_c)3 + (X_0)3 (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-89
a 0 a 0 a
b 0 b 0 b
0 c 0 c 0
0 0 c 0 0
Codewords:
0 0 0 0 0
0 0 c 0 0
0 c 0 c 0
0 c c c 0
b 0 b 0 b
b 0 a 0 b
b c b c b
b c a c b
a 0 a 0 a
a 0 b 0 a
a c a c a
a c b c a
c 0 c 0 c
c 0 0 0 c
c c c c c
c c 0 c c
dmin: 1
Weight Enumerator: 1x0 + 1x1 + 2x2 + 6x3 + 1x4 + 5x5
Complete Weight Enumerator: (X_0)5 + (X_0)4 (X_c)1 + (X_0)3 (X_c)2 + (X_0)2 (X_c)3 + (X_0)2 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 + (X_b)3 (X_c)2 + (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 + (X_a)3 (X_c)2 + (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_c)3 + (X_0)3 (X_c)2 + (X_c)5 + (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-90
a 0 a 0 a
b 0 b 0 b
0 c 0 c 0
0 0 c 0 c
Codewords:
0 0 0 0 0
0 0 c 0 c
0 c 0 c 0
0 c c c c
b 0 b 0 b
b 0 a 0 a
b c b c b
b c a c a
a 0 a 0 a
a 0 b 0 b
a c a c a
a c b c b
c 0 c 0 c
c 0 0 0 0
c c c c c
c c 0 c 0
dmin: 1
Weight Enumerator: 1x0 + 1x1 + 2x2 + 6x3 + 1x4 + 5x5
Complete Weight Enumerator: (X_0)5 + (X_0)3 (X_c)2 + (X_0)3 (X_c)2 + (X_0)1 (X_c)4 + (X_0)2 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 + (X_b)3 (X_c)2 + (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 + (X_a)3 (X_c)2 + (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_c)3 + (X_0)4 (X_c)1 + (X_c)5 + (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-91
a 0 a 0 a
b 0 b 0 b
0 c 0 c 0
0 0 c c 0
Codewords:
0 0 0 0 0
0 0 c c 0
0 c 0 c 0
0 c c 0 0
b 0 b 0 b
b 0 a c b
b c b c b
b c a 0 b
a 0 a 0 a
a 0 b c a
a c a c a
a c b 0 a
c 0 c 0 c
c 0 0 c c
c c c c c
c c 0 0 c
dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 5x3 + 4x4 + 3x5
Complete Weight Enumerator: (X_0)5 + (X_0)3 (X_c)2 + (X_0)3 (X_c)2 + (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_b)3 (X_c)2 + (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_a)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_c)3 + (X_0)2 (X_c)3 + (X_c)5 + (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-92
a 0 a 0 a
b 0 b 0 b
0 c 0 c 0
0 0 c c c
Codewords:
0 0 0 0 0
0 0 c c c
0 c 0 c 0
0 c c 0 c
b 0 b 0 b
b 0 a c a
b c b c b
b c a 0 a
a 0 a 0 a
a 0 b c b
a c a c a
a c b 0 b
c 0 c 0 c
c 0 0 c 0
c c c c c
c c 0 0 0
dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 5x3 + 4x4 + 3x5
Complete Weight Enumerator: (X_0)5 + (X_0)2 (X_c)3 + (X_0)3 (X_c)2 + (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_b)3 (X_c)2 + (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_a)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_c)3 + (X_0)3 (X_c)2 + (X_c)5 + (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-93
a 0 a 0 a
b 0 b 0 b
0 c 0 c c
0 0 c 0 0
Codewords:
0 0 0 0 0
0 0 c 0 0
0 c 0 c c
0 c c c c
b 0 b 0 b
b 0 a 0 b
b c b c a
b c a c a
a 0 a 0 a
a 0 b 0 a
a c a c b
a c b c b
c 0 c 0 c
c 0 0 0 c
c c c c 0
c c 0 c 0
dmin: 1
Weight Enumerator: 1x0 + 1x1 + 1x2 + 7x3 + 2x4 + 4x5
Complete Weight Enumerator: (X_0)5 + (X_0)4 (X_c)1 + (X_0)2 (X_c)3 + (X_0)1 (X_c)4 + (X_0)2 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 + (X_a)1 (X_b)2 (X_c)2 + (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 + (X_a)2 (X_b)1 (X_c)2 + (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_c)3 + (X_0)3 (X_c)2 + (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
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-94
a 0 a 0 a
b 0 b 0 b
0 c 0 c c
0 0 c 0 c
Codewords:
0 0 0 0 0
0 0 c 0 c
0 c 0 c c
0 c c c 0
b 0 b 0 b
b 0 a 0 a
b c b c a
b c a c b
a 0 a 0 a
a 0 b 0 b
a c a c b
a c b c a
c 0 c 0 c
c 0 0 0 0
c c c c 0
c c 0 c c
dmin: 1
Weight Enumerator: 1x0 + 1x1 + 1x2 + 7x3 + 2x4 + 4x5
Complete Weight Enumerator: (X_0)5 + (X_0)3 (X_c)2 + (X_0)2 (X_c)3 + (X_0)2 (X_c)3 + (X_0)2 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 + (X_a)1 (X_b)2 (X_c)2 + (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 + (X_a)2 (X_b)1 (X_c)2 + (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_c)3 + (X_0)4 (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
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-95
a 0 a 0 a
b 0 b 0 b
0 c 0 c c
0 0 c c 0
Codewords:
0 0 0 0 0
0 0 c c 0
0 c 0 c c
0 c c 0 c
b 0 b 0 b
b 0 a c b
b c b c a
b c a 0 a
a 0 a 0 a
a 0 b c a
a c a c b
a c b 0 b
c 0 c 0 c
c 0 0 c c
c c c c 0
c c 0 0 0
dmin: 2
Weight Enumerator: 1x0 + 0x1 + 2x2 + 6x3 + 5x4 + 2x5
Complete Weight Enumerator: (X_0)5 + (X_0)3 (X_c)2 + (X_0)2 (X_c)3 + (X_0)2 (X_c)3 + (X_0)2 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)1 + (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)1 + (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_c)3 + (X_0)2 (X_c)3 + (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
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-96
a 0 a 0 a
b 0 b 0 b
0 c 0 c c
0 0 c c c
Codewords:
0 0 0 0 0
0 0 c c c
0 c 0 c c
0 c c 0 0
b 0 b 0 b
b 0 a c a
b c b c a
b c a 0 b
a 0 a 0 a
a 0 b c b
a c a c b
a c b 0 a
c 0 c 0 c
c 0 0 c 0
c c c c 0
c c 0 0 c
dmin: 2
Weight Enumerator: 1x0 + 0x1 + 2x2 + 6x3 + 5x4 + 2x5
Complete Weight Enumerator: (X_0)5 + (X_0)2 (X_c)3 + (X_0)2 (X_c)3 + (X_0)3 (X_c)2 + (X_0)2 (X_b)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)1 + (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)1 + (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_c)3 + (X_0)3 (X_c)2 + (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
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-97
a 0 a a 0
b 0 b b 0
0 c 0 0 0
0 0 c 0 0
Codewords:
0 0 0 0 0
0 0 c 0 0
0 c 0 0 0
0 c c 0 0
b 0 b b 0
b 0 a b 0
b c b b 0
b c a b 0
a 0 a a 0
a 0 b a 0
a c a a 0
a c b a 0
c 0 c c 0
c 0 0 c 0
c c c c 0
c c 0 c 0
dmin: 1
Weight Enumerator: 1x0 + 2x1 + 2x2 + 6x3 + 5x4 + 0x5
Complete Weight Enumerator: (X_0)5 + (X_0)4 (X_c)1 + (X_0)4 (X_c)1 + (X_0)3 (X_c)2 + (X_0)2 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 + (X_0)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 + (X_0)1 (X_a)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_c)3 + (X_0)3 (X_c)2 + (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
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-98
a 0 a a 0
b 0 b b 0
0 c 0 0 0
0 0 c 0 c
Codewords:
0 0 0 0 0
0 0 c 0 c
0 c 0 0 0
0 c c 0 c
b 0 b b 0
b 0 a b c
b c b b 0
b c a b c
a 0 a a 0
a 0 b a c
a c a a 0
a c b a c
c 0 c c 0
c 0 0 c c
c c c c 0
c c 0 c c
dmin: 1
Weight Enumerator: 1x0 + 1x1 + 1x2 + 5x3 + 6x4 + 2x5
Complete Weight Enumerator: (X_0)5 + (X_0)3 (X_c)2 + (X_0)4 (X_c)1 + (X_0)2 (X_c)3 + (X_0)2 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_b)3 (X_c)1 + (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_c)1 + (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_c)3 + (X_0)2 (X_c)3 + (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
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-99
a 0 a a 0
b 0 b b 0
0 c 0 0 0
0 0 c c 0
Codewords:
0 0 0 0 0
0 0 c c 0
0 c 0 0 0
0 c c c 0
b 0 b b 0
b 0 a a 0
b c b b 0
b c a a 0
a 0 a a 0
a 0 b b 0
a c a a 0
a c b b 0
c 0 c c 0
c 0 0 0 0
c c c c 0
c c 0 0 0
dmin: 1
Weight Enumerator: 1x0 + 2x1 + 2x2 + 6x3 + 5x4 + 0x5
Complete Weight Enumerator: (X_0)5 + (X_0)3 (X_c)2 + (X_0)4 (X_c)1 + (X_0)2 (X_c)3 + (X_0)2 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 + (X_0)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 + (X_0)1 (X_a)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_c)3 + (X_0)4 (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
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-100
a 0 a a 0
b 0 b b 0
0 c 0 0 0
0 0 c c c
Codewords:
0 0 0 0 0
0 0 c c c
0 c 0 0 0
0 c c c c
b 0 b b 0
b 0 a a c
b c b b 0
b c a a c
a 0 a a 0
a 0 b b c
a c a a 0
a c b b c
c 0 c c 0
c 0 0 0 c
c c c c 0
c c 0 0 c
dmin: 1
Weight Enumerator: 1x0 + 1x1 + 1x2 + 5x3 + 6x4 + 2x5
Complete Weight Enumerator: (X_0)5 + (X_0)2 (X_c)3 + (X_0)4 (X_c)1 + (X_0)1 (X_c)4 + (X_0)2 (X_b)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_b)3 (X_c)1 + (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_c)1 + (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_c)3 + (X_0)3 (X_c)2 + (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
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-101
a 0 a a 0
b 0 b b 0
0 c 0 0 c
0 0 c 0 0
Codewords:
0 0 0 0 0
0 0 c 0 0
0 c 0 0 c
0 c c 0 c
b 0 b b 0
b 0 a b 0
b c b b c
b c a b c
a 0 a a 0
a 0 b a 0
a c a a c
a c b a c
c 0 c c 0
c 0 0 c 0
c c c c c
c c 0 c c
dmin: 1
Weight Enumerator: 1x0 + 1x1 + 2x2 + 6x3 + 1x4 + 5x5
Complete Weight Enumerator: (X_0)5 + (X_0)4 (X_c)1 + (X_0)3 (X_c)2 + (X_0)2 (X_c)3 + (X_0)2 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 + (X_b)3 (X_c)2 + (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 + (X_a)3 (X_c)2 + (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_c)3 + (X_0)3 (X_c)2 + (X_c)5 + (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-102
a 0 a a 0
b 0 b b 0
0 c 0 0 c
0 0 c 0 c
Codewords:
0 0 0 0 0
0 0 c 0 c
0 c 0 0 c
0 c c 0 0
b 0 b b 0
b 0 a b c
b c b b c
b c a b 0
a 0 a a 0
a 0 b a c
a c a a c
a c b a 0
c 0 c c 0
c 0 0 c c
c c c c c
c c 0 c 0
dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 5x3 + 4x4 + 3x5
Complete Weight Enumerator: (X_0)5 + (X_0)3 (X_c)2 + (X_0)3 (X_c)2 + (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_b)3 (X_c)2 + (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_a)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_c)3 + (X_0)2 (X_c)3 + (X_c)5 + (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-103
a 0 a a 0
b 0 b b 0
0 c 0 0 c
0 0 c c 0
Codewords:
0 0 0 0 0
0 0 c c 0
0 c 0 0 c
0 c c c c
b 0 b b 0
b 0 a a 0
b c b b c
b c a a c
a 0 a a 0
a 0 b b 0
a c a a c
a c b b c
c 0 c c 0
c 0 0 0 0
c c c c c
c c 0 0 c
dmin: 1
Weight Enumerator: 1x0 + 1x1 + 2x2 + 6x3 + 1x4 + 5x5
Complete Weight Enumerator: (X_0)5 + (X_0)3 (X_c)2 + (X_0)3 (X_c)2 + (X_0)1 (X_c)4 + (X_0)2 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 + (X_b)3 (X_c)2 + (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 + (X_a)3 (X_c)2 + (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_c)3 + (X_0)4 (X_c)1 + (X_c)5 + (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-104
a 0 a a 0
b 0 b b 0
0 c 0 0 c
0 0 c c c
Codewords:
0 0 0 0 0
0 0 c c c
0 c 0 0 c
0 c c c 0
b 0 b b 0
b 0 a a c
b c b b c
b c a a 0
a 0 a a 0
a 0 b b c
a c a a c
a c b b 0
c 0 c c 0
c 0 0 0 c
c c c c c
c c 0 0 0
dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 5x3 + 4x4 + 3x5
Complete Weight Enumerator: (X_0)5 + (X_0)2 (X_c)3 + (X_0)3 (X_c)2 + (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_b)3 (X_c)2 + (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_a)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_c)3 + (X_0)3 (X_c)2 + (X_c)5 + (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-105
a 0 a a 0
b 0 b b 0
0 c 0 c 0
0 0 c 0 0
Codewords:
0 0 0 0 0
0 0 c 0 0
0 c 0 c 0
0 c c c 0
b 0 b b 0
b 0 a b 0
b c b a 0
b c a a 0
a 0 a a 0
a 0 b a 0
a c a b 0
a c b b 0
c 0 c c 0
c 0 0 c 0
c c c 0 0
c c 0 0 0
dmin: 1
Weight Enumerator: 1x0 + 1x1 + 3x2 + 7x3 + 4x4 + 0x5
Complete Weight Enumerator: (X_0)5 + (X_0)4 (X_c)1 + (X_0)3 (X_c)2 + (X_0)2 (X_c)3 + (X_0)2 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_c)3 + (X_0)3 (X_c)2 + (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-106
a 0 a a 0
b 0 b b 0
0 c 0 c 0
0 0 c 0 c
Codewords:
0 0 0 0 0
0 0 c 0 c
0 c 0 c 0
0 c c c c
b 0 b b 0
b 0 a b c
b c b a 0
b c a a c
a 0 a a 0
a 0 b a c
a c a b 0
a c b b c
c 0 c c 0
c 0 0 c c
c c c 0 0
c c 0 0 c
dmin: 2
Weight Enumerator: 1x0 + 0x1 + 2x2 + 6x3 + 5x4 + 2x5
Complete Weight Enumerator: (X_0)5 + (X_0)3 (X_c)2 + (X_0)3 (X_c)2 + (X_0)1 (X_c)4 + (X_0)2 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)1 + (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)1 + (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_c)3 + (X_0)2 (X_c)3 + (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-107
a 0 a a 0
b 0 b b 0
0 c 0 c 0
0 0 c c 0
Codewords:
0 0 0 0 0
0 0 c c 0
0 c 0 c 0
0 c c 0 0
b 0 b b 0
b 0 a a 0
b c b a 0
b c a b 0
a 0 a a 0
a 0 b b 0
a c a b 0
a c b a 0
c 0 c c 0
c 0 0 0 0
c c c 0 0
c c 0 c 0
dmin: 1
Weight Enumerator: 1x0 + 1x1 + 3x2 + 7x3 + 4x4 + 0x5
Complete Weight Enumerator: (X_0)5 + (X_0)3 (X_c)2 + (X_0)3 (X_c)2 + (X_0)3 (X_c)2 + (X_0)2 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_c)3 + (X_0)4 (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-108
a 0 a a 0
b 0 b b 0
0 c 0 c 0
0 0 c c c
Codewords:
0 0 0 0 0
0 0 c c c
0 c 0 c 0
0 c c 0 c
b 0 b b 0
b 0 a a c
b c b a 0
b c a b c
a 0 a a 0
a 0 b b c
a c a b 0
a c b a c
c 0 c c 0
c 0 0 0 c
c c c 0 0
c c 0 c c
dmin: 2
Weight Enumerator: 1x0 + 0x1 + 2x2 + 6x3 + 5x4 + 2x5
Complete Weight Enumerator: (X_0)5 + (X_0)2 (X_c)3 + (X_0)3 (X_c)2 + (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)1 (X_a)1 (X_b)2 (X_c)1 + (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)1 + (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_c)3 + (X_0)3 (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-109
a 0 a a 0
b 0 b b 0
0 c 0 c c
0 0 c 0 0
Codewords:
0 0 0 0 0
0 0 c 0 0
0 c 0 c c
0 c c c c
b 0 b b 0
b 0 a b 0
b c b a c
b c a a c
a 0 a a 0
a 0 b a 0
a c a b c
a c b b c
c 0 c c 0
c 0 0 c 0
c c c 0 c
c c 0 0 c
dmin: 1
Weight Enumerator: 1x0 + 1x1 + 1x2 + 7x3 + 2x4 + 4x5
Complete Weight Enumerator: (X_0)5 + (X_0)4 (X_c)1 + (X_0)2 (X_c)3 + (X_0)1 (X_c)4 + (X_0)2 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 + (X_a)1 (X_b)2 (X_c)2 + (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 + (X_a)2 (X_b)1 (X_c)2 + (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_c)3 + (X_0)3 (X_c)2 + (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
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-110
a 0 a a 0
b 0 b b 0
0 c 0 c c
0 0 c 0 c
Codewords:
0 0 0 0 0
0 0 c 0 c
0 c 0 c c
0 c c c 0
b 0 b b 0
b 0 a b c
b c b a c
b c a a 0
a 0 a a 0
a 0 b a c
a c a b c
a c b b 0
c 0 c c 0
c 0 0 c c
c c c 0 c
c c 0 0 0
dmin: 2
Weight Enumerator: 1x0 + 0x1 + 2x2 + 6x3 + 5x4 + 2x5
Complete Weight Enumerator: (X_0)5 + (X_0)3 (X_c)2 + (X_0)2 (X_c)3 + (X_0)2 (X_c)3 + (X_0)2 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)1 + (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)1 + (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_c)3 + (X_0)2 (X_c)3 + (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
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-111
a 0 a a 0
b 0 b b 0
0 c 0 c c
0 0 c c 0
Codewords:
0 0 0 0 0
0 0 c c 0
0 c 0 c c
0 c c 0 c
b 0 b b 0
b 0 a a 0
b c b a c
b c a b c
a 0 a a 0
a 0 b b 0
a c a b c
a c b a c
c 0 c c 0
c 0 0 0 0
c c c 0 c
c c 0 c c
dmin: 1
Weight Enumerator: 1x0 + 1x1 + 1x2 + 7x3 + 2x4 + 4x5
Complete Weight Enumerator: (X_0)5 + (X_0)3 (X_c)2 + (X_0)2 (X_c)3 + (X_0)2 (X_c)3 + (X_0)2 (X_b)3 + (X_0)2 (X_a)2 (X_b)1 + (X_a)1 (X_b)2 (X_c)2 + (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)3 + (X_0)2 (X_a)1 (X_b)2 + (X_a)2 (X_b)1 (X_c)2 + (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_c)3 + (X_0)4 (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
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-112
a 0 a a 0
b 0 b b 0
0 c 0 c c
0 0 c c c
Codewords:
0 0 0 0 0
0 0 c c c
0 c 0 c c
0 c c 0 0
b 0 b b 0
b 0 a a c
b c b a c
b c a b 0
a 0 a a 0
a 0 b b c
a c a b c
a c b a 0
c 0 c c 0
c 0 0 0 c
c c c 0 c
c c 0 c 0
dmin: 2
Weight Enumerator: 1x0 + 0x1 + 2x2 + 6x3 + 5x4 + 2x5
Complete Weight Enumerator: (X_0)5 + (X_0)2 (X_c)3 + (X_0)2 (X_c)3 + (X_0)3 (X_c)2 + (X_0)2 (X_b)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)1 + (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)1 + (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_c)3 + (X_0)3 (X_c)2 + (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
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-113
a 0 a a a
b 0 b b b
0 c 0 0 0
0 0 c 0 0
Codewords:
0 0 0 0 0
0 0 c 0 0
0 c 0 0 0
0 c c 0 0
b 0 b b b
b 0 a b b
b c b b b
b c a b b
a 0 a a a
a 0 b a a
a c a a a
a c b a a
c 0 c c c
c 0 0 c c
c c c c c
c c 0 c c
dmin: 1
Weight Enumerator: 1x0 + 2x1 + 1x2 + 1x3 + 6x4 + 5x5
Complete Weight Enumerator: (X_0)5 + (X_0)4 (X_c)1 + (X_0)4 (X_c)1 + (X_0)3 (X_c)2 + (X_0)1 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 + (X_b)4 (X_c)1 + (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 + (X_a)4 (X_c)1 + (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_c)4 + (X_0)2 (X_c)3 + (X_c)5 + (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-114
a 0 a a a
b 0 b b b
0 c 0 0 0
0 0 c 0 c
Codewords:
0 0 0 0 0
0 0 c 0 c
0 c 0 0 0
0 c c 0 c
b 0 b b b
b 0 a b a
b c b b b
b c a b a
a 0 a a a
a 0 b a b
a c a a a
a c b a b
c 0 c c c
c 0 0 c 0
c c c c c
c c 0 c 0
dmin: 1
Weight Enumerator: 1x0 + 1x1 + 2x2 + 2x3 + 5x4 + 5x5
Complete Weight Enumerator: (X_0)5 + (X_0)3 (X_c)2 + (X_0)4 (X_c)1 + (X_0)2 (X_c)3 + (X_0)1 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 + (X_b)4 (X_c)1 + (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 + (X_a)4 (X_c)1 + (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_c)4 + (X_0)3 (X_c)2 + (X_c)5 + (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-115
a 0 a a a
b 0 b b b
0 c 0 0 0
0 0 c c 0
Codewords:
0 0 0 0 0
0 0 c c 0
0 c 0 0 0
0 c c c 0
b 0 b b b
b 0 a a b
b c b b b
b c a a b
a 0 a a a
a 0 b b a
a c a a a
a c b b a
c 0 c c c
c 0 0 0 c
c c c c c
c c 0 0 c
dmin: 1
Weight Enumerator: 1x0 + 1x1 + 2x2 + 2x3 + 5x4 + 5x5
Complete Weight Enumerator: (X_0)5 + (X_0)3 (X_c)2 + (X_0)4 (X_c)1 + (X_0)2 (X_c)3 + (X_0)1 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 + (X_b)4 (X_c)1 + (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 + (X_a)4 (X_c)1 + (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_c)4 + (X_0)3 (X_c)2 + (X_c)5 + (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-116
a 0 a a a
b 0 b b b
0 c 0 0 0
0 0 c c c
Codewords:
0 0 0 0 0
0 0 c c c
0 c 0 0 0
0 c c c c
b 0 b b b
b 0 a a a
b c b b b
b c a a a
a 0 a a a
a 0 b b b
a c a a a
a c b b b
c 0 c c c
c 0 0 0 0
c c c c c
c c 0 0 0
dmin: 1
Weight Enumerator: 1x0 + 2x1 + 1x2 + 1x3 + 6x4 + 5x5
Complete Weight Enumerator: (X_0)5 + (X_0)2 (X_c)3 + (X_0)4 (X_c)1 + (X_0)1 (X_c)4 + (X_0)1 (X_b)4 + (X_0)1 (X_a)3 (X_b)1 + (X_b)4 (X_c)1 + (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)4 + (X_0)1 (X_a)1 (X_b)3 + (X_a)4 (X_c)1 + (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_c)4 + (X_0)4 (X_c)1 + (X_c)5 + (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-117
a 0 a a a
b 0 b b b
0 c 0 0 c
0 0 c 0 0
Codewords:
0 0 0 0 0
0 0 c 0 0
0 c 0 0 c
0 c c 0 c
b 0 b b b
b 0 a b b
b c b b a
b c a b a
a 0 a a a
a 0 b a a
a c a a b
a c b a b
c 0 c c c
c 0 0 c c
c c c c 0
c c 0 c 0
dmin: 1
Weight Enumerator: 1x0 + 1x1 + 1x2 + 3x3 + 6x4 + 4x5
Complete Weight Enumerator: (X_0)5 + (X_0)4 (X_c)1 + (X_0)3 (X_c)2 + (X_0)2 (X_c)3 + (X_0)1 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 + (X_a)1 (X_b)3 (X_c)1 + (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 + (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_c)4 + (X_0)2 (X_c)3 + (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-118
a 0 a a a
b 0 b b b
0 c 0 0 c
0 0 c 0 c
Codewords:
0 0 0 0 0
0 0 c 0 c
0 c 0 0 c
0 c c 0 0
b 0 b b b
b 0 a b a
b c b b a
b c a b b
a 0 a a a
a 0 b a b
a c a a b
a c b a a
c 0 c c c
c 0 0 c 0
c c c c 0
c c 0 c c
dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 0x3 + 7x4 + 4x5
Complete Weight Enumerator: (X_0)5 + (X_0)3 (X_c)2 + (X_0)3 (X_c)2 + (X_0)3 (X_c)2 + (X_0)1 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 + (X_a)1 (X_b)3 (X_c)1 + (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 + (X_a)3 (X_b)1 (X_c)1 + (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_c)4 + (X_0)3 (X_c)2 + (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-119
a 0 a a a
b 0 b b b
0 c 0 0 c
0 0 c c 0
Codewords:
0 0 0 0 0
0 0 c c 0
0 c 0 0 c
0 c c c c
b 0 b b b
b 0 a a b
b c b b a
b c a a a
a 0 a a a
a 0 b b a
a c a a b
a c b b b
c 0 c c c
c 0 0 0 c
c c c c 0
c c 0 0 0
dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 0x3 + 7x4 + 4x5
Complete Weight Enumerator: (X_0)5 + (X_0)3 (X_c)2 + (X_0)3 (X_c)2 + (X_0)1 (X_c)4 + (X_0)1 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 + (X_a)1 (X_b)3 (X_c)1 + (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 + (X_a)3 (X_b)1 (X_c)1 + (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_c)4 + (X_0)3 (X_c)2 + (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-120
a 0 a a a
b 0 b b b
0 c 0 0 c
0 0 c c c
Codewords:
0 0 0 0 0
0 0 c c c
0 c 0 0 c
0 c c c 0
b 0 b b b
b 0 a a a
b c b b a
b c a a b
a 0 a a a
a 0 b b b
a c a a b
a c b b a
c 0 c c c
c 0 0 0 0
c c c c 0
c c 0 0 c
dmin: 1
Weight Enumerator: 1x0 + 1x1 + 1x2 + 3x3 + 6x4 + 4x5
Complete Weight Enumerator: (X_0)5 + (X_0)2 (X_c)3 + (X_0)3 (X_c)2 + (X_0)2 (X_c)3 + (X_0)1 (X_b)4 + (X_0)1 (X_a)3 (X_b)1 + (X_a)1 (X_b)3 (X_c)1 + (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)4 + (X_0)1 (X_a)1 (X_b)3 + (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_c)4 + (X_0)4 (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-121
a 0 a a a
b 0 b b b
0 c 0 c 0
0 0 c 0 0
Codewords:
0 0 0 0 0
0 0 c 0 0
0 c 0 c 0
0 c c c 0
b 0 b b b
b 0 a b b
b c b a b
b c a a b
a 0 a a a
a 0 b a a
a c a b a
a c b b a
c 0 c c c
c 0 0 c c
c c c 0 c
c c 0 0 c
dmin: 1
Weight Enumerator: 1x0 + 1x1 + 1x2 + 3x3 + 6x4 + 4x5
Complete Weight Enumerator: (X_0)5 + (X_0)4 (X_c)1 + (X_0)3 (X_c)2 + (X_0)2 (X_c)3 + (X_0)1 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 + (X_a)1 (X_b)3 (X_c)1 + (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 + (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_c)4 + (X_0)2 (X_c)3 + (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-122
a 0 a a a
b 0 b b b
0 c 0 c 0
0 0 c 0 c
Codewords:
0 0 0 0 0
0 0 c 0 c
0 c 0 c 0
0 c c c c
b 0 b b b
b 0 a b a
b c b a b
b c a a a
a 0 a a a
a 0 b a b
a c a b a
a c b b b
c 0 c c c
c 0 0 c 0
c c c 0 c
c c 0 0 0
dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 0x3 + 7x4 + 4x5
Complete Weight Enumerator: (X_0)5 + (X_0)3 (X_c)2 + (X_0)3 (X_c)2 + (X_0)1 (X_c)4 + (X_0)1 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 + (X_a)1 (X_b)3 (X_c)1 + (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 + (X_a)3 (X_b)1 (X_c)1 + (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_c)4 + (X_0)3 (X_c)2 + (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-123
a 0 a a a
b 0 b b b
0 c 0 c 0
0 0 c c 0
Codewords:
0 0 0 0 0
0 0 c c 0
0 c 0 c 0
0 c c 0 0
b 0 b b b
b 0 a a b
b c b a b
b c a b b
a 0 a a a
a 0 b b a
a c a b a
a c b a a
c 0 c c c
c 0 0 0 c
c c c 0 c
c c 0 c c
dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 0x3 + 7x4 + 4x5
Complete Weight Enumerator: (X_0)5 + (X_0)3 (X_c)2 + (X_0)3 (X_c)2 + (X_0)3 (X_c)2 + (X_0)1 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 + (X_a)1 (X_b)3 (X_c)1 + (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 + (X_a)3 (X_b)1 (X_c)1 + (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_c)4 + (X_0)3 (X_c)2 + (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-124
a 0 a a a
b 0 b b b
0 c 0 c 0
0 0 c c c
Codewords:
0 0 0 0 0
0 0 c c c
0 c 0 c 0
0 c c 0 c
b 0 b b b
b 0 a a a
b c b a b
b c a b a
a 0 a a a
a 0 b b b
a c a b a
a c b a b
c 0 c c c
c 0 0 0 0
c c c 0 c
c c 0 c 0
dmin: 1
Weight Enumerator: 1x0 + 1x1 + 1x2 + 3x3 + 6x4 + 4x5
Complete Weight Enumerator: (X_0)5 + (X_0)2 (X_c)3 + (X_0)3 (X_c)2 + (X_0)2 (X_c)3 + (X_0)1 (X_b)4 + (X_0)1 (X_a)3 (X_b)1 + (X_a)1 (X_b)3 (X_c)1 + (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)4 + (X_0)1 (X_a)1 (X_b)3 + (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_c)4 + (X_0)4 (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-125
a 0 a a a
b 0 b b b
0 c 0 c c
0 0 c 0 0
Codewords:
0 0 0 0 0
0 0 c 0 0
0 c 0 c c
0 c c c c
b 0 b b b
b 0 a b b
b c b a a
b c a a a
a 0 a a a
a 0 b a a
a c a b b
a c b b b
c 0 c c c
c 0 0 c c
c c c 0 0
c c 0 0 0
dmin: 1
Weight Enumerator: 1x0 + 1x1 + 1x2 + 3x3 + 6x4 + 4x5
Complete Weight Enumerator: (X_0)5 + (X_0)4 (X_c)1 + (X_0)2 (X_c)3 + (X_0)1 (X_c)4 + (X_0)1 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 + (X_a)2 (X_b)2 (X_c)1 + (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 + (X_a)2 (X_b)2 (X_c)1 + (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_c)4 + (X_0)2 (X_c)3 + (X_0)2 (X_c)3 + (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-126
a 0 a a a
b 0 b b b
0 c 0 c c
0 0 c 0 c
Codewords:
0 0 0 0 0
0 0 c 0 c
0 c 0 c c
0 c c c 0
b 0 b b b
b 0 a b a
b c b a a
b c a a b
a 0 a a a
a 0 b a b
a c a b b
a c b b a
c 0 c c c
c 0 0 c 0
c c c 0 0
c c 0 0 c
dmin: 2
Weight Enumerator: 1x0 + 0x1 + 2x2 + 4x3 + 5x4 + 4x5
Complete Weight Enumerator: (X_0)5 + (X_0)3 (X_c)2 + (X_0)2 (X_c)3 + (X_0)2 (X_c)3 + (X_0)1 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 + (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 + (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_c)4 + (X_0)3 (X_c)2 + (X_0)2 (X_c)3 + (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-127
a 0 a a a
b 0 b b b
0 c 0 c c
0 0 c c 0
Codewords:
0 0 0 0 0
0 0 c c 0
0 c 0 c c
0 c c 0 c
b 0 b b b
b 0 a a b
b c b a a
b c a b a
a 0 a a a
a 0 b b a
a c a b b
a c b a b
c 0 c c c
c 0 0 0 c
c c c 0 0
c c 0 c 0
dmin: 2
Weight Enumerator: 1x0 + 0x1 + 2x2 + 4x3 + 5x4 + 4x5
Complete Weight Enumerator: (X_0)5 + (X_0)3 (X_c)2 + (X_0)2 (X_c)3 + (X_0)2 (X_c)3 + (X_0)1 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 + (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 + (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_c)4 + (X_0)3 (X_c)2 + (X_0)2 (X_c)3 + (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-128
a 0 a a a
b 0 b b b
0 c 0 c c
0 0 c c c
Codewords:
0 0 0 0 0
0 0 c c c
0 c 0 c c
0 c c 0 0
b 0 b b b
b 0 a a a
b c b a a
b c a b b
a 0 a a a
a 0 b b b
a c a b b
a c b a a
c 0 c c c
c 0 0 0 0
c c c 0 0
c c 0 c c
dmin: 1
Weight Enumerator: 1x0 + 1x1 + 1x2 + 3x3 + 6x4 + 4x5
Complete Weight Enumerator: (X_0)5 + (X_0)2 (X_c)3 + (X_0)2 (X_c)3 + (X_0)3 (X_c)2 + (X_0)1 (X_b)4 + (X_0)1 (X_a)3 (X_b)1 + (X_a)2 (X_b)2 (X_c)1 + (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)4 + (X_0)1 (X_a)1 (X_b)3 + (X_a)2 (X_b)2 (X_c)1 + (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_c)4 + (X_0)4 (X_c)1 + (X_0)2 (X_c)3 + (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-129
a a 0 0 0
b b 0 0 0
0 c 0 0 0
0 0 c 0 0
Codewords:
0 0 0 0 0
0 0 c 0 0
0 c 0 0 0
0 c c 0 0
b b 0 0 0
b b c 0 0
b a 0 0 0
b a c 0 0
a a 0 0 0
a a c 0 0
a b 0 0 0
a b c 0 0
c c 0 0 0
c c c 0 0
c 0 0 0 0
c 0 c 0 0
dmin: 1
Weight Enumerator: 1x0 + 3x1 + 7x2 + 5x3 + 0x4 + 0x5
Complete Weight Enumerator: (X_0)5 + (X_0)4 (X_c)1 + (X_0)4 (X_c)1 + (X_0)3 (X_c)2 + (X_0)3 (X_b)2 + (X_0)2 (X_b)2 (X_c)1 + (X_0)3 (X_a)1 (X_b)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)1 + (X_0)3 (X_a)2 + (X_0)2 (X_a)2 (X_c)1 + (X_0)3 (X_a)1 (X_b)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)1 + (X_0)3 (X_c)2 + (X_0)2 (X_c)3 + (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
Is it a nice code?: Yes
Generator Matrix-130
a a 0 0 0
b b 0 0 0
0 c 0 0 0
0 0 c 0 c
Codewords:
0 0 0 0 0
0 0 c 0 c
0 c 0 0 0
0 c c 0 c
b b 0 0 0
b b c 0 c
b a 0 0 0
b a c 0 c
a a 0 0 0
a a c 0 c
a b 0 0 0
a b c 0 c
c c 0 0 0
c c c 0 c
c 0 0 0 0
c 0 c 0 c
dmin: 1
Weight Enumerator: 1x0 + 2x1 + 6x2 + 2x3 + 5x4 + 0x5
Complete Weight Enumerator: (X_0)5 + (X_0)3 (X_c)2 + (X_0)4 (X_c)1 + (X_0)2 (X_c)3 + (X_0)3 (X_b)2 + (X_0)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)1 (X_b)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_a)2 + (X_0)1 (X_a)2 (X_c)2 + (X_0)3 (X_a)1 (X_b)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_c)2 + (X_0)1 (X_c)4 + (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
Is it a nice code?: Yes
Generator Matrix-131
a a 0 0 0
b b 0 0 0
0 c 0 0 0
0 0 c c 0
Codewords:
0 0 0 0 0
0 0 c c 0
0 c 0 0 0
0 c c c 0
b b 0 0 0
b b c c 0
b a 0 0 0
b a c c 0
a a 0 0 0
a a c c 0
a b 0 0 0
a b c c 0
c c 0 0 0
c c c c 0
c 0 0 0 0
c 0 c c 0
dmin: 1
Weight Enumerator: 1x0 + 2x1 + 6x2 + 2x3 + 5x4 + 0x5
Complete Weight Enumerator: (X_0)5 + (X_0)3 (X_c)2 + (X_0)4 (X_c)1 + (X_0)2 (X_c)3 + (X_0)3 (X_b)2 + (X_0)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)1 (X_b)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_a)2 + (X_0)1 (X_a)2 (X_c)2 + (X_0)3 (X_a)1 (X_b)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_c)2 + (X_0)1 (X_c)4 + (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
Is it a nice code?: Yes
Generator Matrix-132
a a 0 0 0
b b 0 0 0
0 c 0 0 0
0 0 c c c
Codewords:
0 0 0 0 0
0 0 c c c
0 c 0 0 0
0 c c c c
b b 0 0 0
b b c c c
b a 0 0 0
b a c c c
a a 0 0 0
a a c c c
a b 0 0 0
a b c c c
c c 0 0 0
c c c c c
c 0 0 0 0
c 0 c c c
dmin: 1
Weight Enumerator: 1x0 + 2x1 + 5x2 + 1x3 + 2x4 + 5x5
Complete Weight Enumerator: (X_0)5 + (X_0)2 (X_c)3 + (X_0)4 (X_c)1 + (X_0)1 (X_c)4 + (X_0)3 (X_b)2 + (X_b)2 (X_c)3 + (X_0)3 (X_a)1 (X_b)1 + (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_a)2 + (X_a)2 (X_c)3 + (X_0)3 (X_a)1 (X_b)1 + (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_c)2 + (X_c)5 + (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
Is it a nice code?: Yes
Generator Matrix-133
a a 0 0 0
b b 0 0 0
0 c 0 0 c
0 0 c 0 0
Codewords:
0 0 0 0 0
0 0 c 0 0
0 c 0 0 c
0 c c 0 c
b b 0 0 0
b b c 0 0
b a 0 0 c
b a c 0 c
a a 0 0 0
a a c 0 0
a b 0 0 c
a b c 0 c
c c 0 0 0
c c c 0 0
c 0 0 0 c
c 0 c 0 c
dmin: 1
Weight Enumerator: 1x0 + 1x1 + 5x2 + 7x3 + 2x4 + 0x5
Complete Weight Enumerator: (X_0)5 + (X_0)4 (X_c)1 + (X_0)3 (X_c)2 + (X_0)2 (X_c)3 + (X_0)3 (X_b)2 + (X_0)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_a)2 + (X_0)2 (X_a)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_c)2 + (X_0)2 (X_c)3 + (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?: Yes
Generator Matrix-134
a a 0 0 0
b b 0 0 0
0 c 0 0 c
0 0 c 0 c
Codewords:
0 0 0 0 0
0 0 c 0 c
0 c 0 0 c
0 c c 0 0
b b 0 0 0
b b c 0 c
b a 0 0 c
b a c 0 0
a a 0 0 0
a a c 0 c
a b 0 0 c
a b c 0 0
c c 0 0 0
c c c 0 c
c 0 0 0 c
c 0 c 0 0
dmin: 2
Weight Enumerator: 1x0 + 0x1 + 8x2 + 4x3 + 3x4 + 0x5
Complete Weight Enumerator: (X_0)5 + (X_0)3 (X_c)2 + (X_0)3 (X_c)2 + (X_0)3 (X_c)2 + (X_0)3 (X_b)2 + (X_0)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)1 + (X_0)3 (X_a)2 + (X_0)1 (X_a)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)1 + (X_0)3 (X_c)2 + (X_0)1 (X_c)4 + (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?: Yes
Generator Matrix-135
a a 0 0 0
b b 0 0 0
0 c 0 0 c
0 0 c c 0
Codewords:
0 0 0 0 0
0 0 c c 0
0 c 0 0 c
0 c c c c
b b 0 0 0
b b c c 0
b a 0 0 c
b a c c c
a a 0 0 0
a a c c 0
a b 0 0 c
a b c c c
c c 0 0 0
c c c c 0
c 0 0 0 c
c 0 c c c
dmin: 2
Weight Enumerator: 1x0 + 0x1 + 6x2 + 2x3 + 5x4 + 2x5
Complete Weight Enumerator: (X_0)5 + (X_0)3 (X_c)2 + (X_0)3 (X_c)2 + (X_0)1 (X_c)4 + (X_0)3 (X_b)2 + (X_0)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)1 + (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_a)2 + (X_0)1 (X_a)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)1 + (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_c)2 + (X_0)1 (X_c)4 + (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?: Yes
Generator Matrix-136
a a 0 0 0
b b 0 0 0
0 c 0 0 c
0 0 c c c
Codewords:
0 0 0 0 0
0 0 c c c
0 c 0 0 c
0 c c c 0
b b 0 0 0
b b c c c
b a 0 0 c
b a c c 0
a a 0 0 0
a a c c c
a b 0 0 c
a b c c 0
c c 0 0 0
c c c c c
c 0 0 0 c
c 0 c c 0
dmin: 2
Weight Enumerator: 1x0 + 0x1 + 5x2 + 5x3 + 2x4 + 3x5
Complete Weight Enumerator: (X_0)5 + (X_0)2 (X_c)3 + (X_0)3 (X_c)2 + (X_0)2 (X_c)3 + (X_0)3 (X_b)2 + (X_b)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_a)2 + (X_a)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_c)2 + (X_c)5 + (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?: Yes
Generator Matrix-137
a a 0 0 0
b b 0 0 0
0 c 0 c 0
0 0 c 0 0
Codewords:
0 0 0 0 0
0 0 c 0 0
0 c 0 c 0
0 c c c 0
b b 0 0 0
b b c 0 0
b a 0 c 0
b a c c 0
a a 0 0 0
a a c 0 0
a b 0 c 0
a b c c 0
c c 0 0 0
c c c 0 0
c 0 0 c 0
c 0 c c 0
dmin: 1
Weight Enumerator: 1x0 + 1x1 + 5x2 + 7x3 + 2x4 + 0x5
Complete Weight Enumerator: (X_0)5 + (X_0)4 (X_c)1 + (X_0)3 (X_c)2 + (X_0)2 (X_c)3 + (X_0)3 (X_b)2 + (X_0)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_a)2 + (X_0)2 (X_a)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_c)2 + (X_0)2 (X_c)3 + (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?: Yes
Generator Matrix-138
a a 0 0 0
b b 0 0 0
0 c 0 c 0
0 0 c 0 c
Codewords:
0 0 0 0 0
0 0 c 0 c
0 c 0 c 0
0 c c c c
b b 0 0 0
b b c 0 c
b a 0 c 0
b a c c c
a a 0 0 0
a a c 0 c
a b 0 c 0
a b c c c
c c 0 0 0
c c c 0 c
c 0 0 c 0
c 0 c c c
dmin: 2
Weight Enumerator: 1x0 + 0x1 + 6x2 + 2x3 + 5x4 + 2x5
Complete Weight Enumerator: (X_0)5 + (X_0)3 (X_c)2 + (X_0)3 (X_c)2 + (X_0)1 (X_c)4 + (X_0)3 (X_b)2 + (X_0)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)1 + (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_a)2 + (X_0)1 (X_a)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)1 + (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_c)2 + (X_0)1 (X_c)4 + (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?: Yes
Generator Matrix-139
a a 0 0 0
b b 0 0 0
0 c 0 c 0
0 0 c c 0
Codewords:
0 0 0 0 0
0 0 c c 0
0 c 0 c 0
0 c c 0 0
b b 0 0 0
b b c c 0
b a 0 c 0
b a c 0 0
a a 0 0 0
a a c c 0
a b 0 c 0
a b c 0 0
c c 0 0 0
c c c c 0
c 0 0 c 0
c 0 c 0 0
dmin: 2
Weight Enumerator: 1x0 + 0x1 + 8x2 + 4x3 + 3x4 + 0x5
Complete Weight Enumerator: (X_0)5 + (X_0)3 (X_c)2 + (X_0)3 (X_c)2 + (X_0)3 (X_c)2 + (X_0)3 (X_b)2 + (X_0)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)1 + (X_0)3 (X_a)2 + (X_0)1 (X_a)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)1 + (X_0)3 (X_c)2 + (X_0)1 (X_c)4 + (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?: Yes
Generator Matrix-140
a a 0 0 0
b b 0 0 0
0 c 0 c 0
0 0 c c c
Codewords:
0 0 0 0 0
0 0 c c c
0 c 0 c 0
0 c c 0 c
b b 0 0 0
b b c c c
b a 0 c 0
b a c 0 c
a a 0 0 0
a a c c c
a b 0 c 0
a b c 0 c
c c 0 0 0
c c c c c
c 0 0 c 0
c 0 c 0 c
dmin: 2
Weight Enumerator: 1x0 + 0x1 + 5x2 + 5x3 + 2x4 + 3x5
Complete Weight Enumerator: (X_0)5 + (X_0)2 (X_c)3 + (X_0)3 (X_c)2 + (X_0)2 (X_c)3 + (X_0)3 (X_b)2 + (X_b)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_a)2 + (X_a)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_c)2 + (X_c)5 + (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?: Yes
Generator Matrix-141
a a 0 0 0
b b 0 0 0
0 c 0 c c
0 0 c 0 0
Codewords:
0 0 0 0 0
0 0 c 0 0
0 c 0 c c
0 c c c c
b b 0 0 0
b b c 0 0
b a 0 c c
b a c c c
a a 0 0 0
a a c 0 0
a b 0 c c
a b c c c
c c 0 0 0
c c c 0 0
c 0 0 c c
c 0 c c c
dmin: 1
Weight Enumerator: 1x0 + 1x1 + 3x2 + 5x3 + 4x4 + 2x5
Complete Weight Enumerator: (X_0)5 + (X_0)4 (X_c)1 + (X_0)2 (X_c)3 + (X_0)1 (X_c)4 + (X_0)3 (X_b)2 + (X_0)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)2 + (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_a)2 + (X_0)2 (X_a)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)2 + (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_c)2 + (X_0)2 (X_c)3 + (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
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?: Yes
Generator Matrix-142
a a 0 0 0
b b 0 0 0
0 c 0 c c
0 0 c 0 c
Codewords:
0 0 0 0 0
0 0 c 0 c
0 c 0 c c
0 c c c 0
b b 0 0 0
b b c 0 c
b a 0 c c
b a c c 0
a a 0 0 0
a a c 0 c
a b 0 c c
a b c c 0
c c 0 0 0
c c c 0 c
c 0 0 c c
c 0 c c 0
dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 4x3 + 7x4 + 0x5
Complete Weight Enumerator: (X_0)5 + (X_0)3 (X_c)2 + (X_0)2 (X_c)3 + (X_0)2 (X_c)3 + (X_0)3 (X_b)2 + (X_0)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_a)2 + (X_0)1 (X_a)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_c)2 + (X_0)1 (X_c)4 + (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
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?: Yes
Generator Matrix-143
a a 0 0 0
b b 0 0 0
0 c 0 c c
0 0 c c 0
Codewords:
0 0 0 0 0
0 0 c c 0
0 c 0 c c
0 c c 0 c
b b 0 0 0
b b c c 0
b a 0 c c
b a c 0 c
a a 0 0 0
a a c c 0
a b 0 c c
a b c 0 c
c c 0 0 0
c c c c 0
c 0 0 c c
c 0 c 0 c
dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 4x3 + 7x4 + 0x5
Complete Weight Enumerator: (X_0)5 + (X_0)3 (X_c)2 + (X_0)2 (X_c)3 + (X_0)2 (X_c)3 + (X_0)3 (X_b)2 + (X_0)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_a)2 + (X_0)1 (X_a)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_c)2 + (X_0)1 (X_c)4 + (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
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?: Yes
Generator Matrix-144
a a 0 0 0
b b 0 0 0
0 c 0 c c
0 0 c c c
Codewords:
0 0 0 0 0
0 0 c c c
0 c 0 c c
0 c c 0 0
b b 0 0 0
b b c c c
b a 0 c c
b a c 0 0
a a 0 0 0
a a c c c
a b 0 c c
a b c 0 0
c c 0 0 0
c c c c c
c 0 0 c c
c 0 c 0 0
dmin: 2
Weight Enumerator: 1x0 + 0x1 + 5x2 + 5x3 + 2x4 + 3x5
Complete Weight Enumerator: (X_0)5 + (X_0)2 (X_c)3 + (X_0)2 (X_c)3 + (X_0)3 (X_c)2 + (X_0)3 (X_b)2 + (X_b)2 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)1 + (X_0)3 (X_a)2 + (X_a)2 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)1 + (X_0)3 (X_c)2 + (X_c)5 + (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
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?: Yes
Generator Matrix-145
a a 0 0 a
b b 0 0 b
0 c 0 0 0
0 0 c 0 0
Codewords:
0 0 0 0 0
0 0 c 0 0
0 c 0 0 0
0 c c 0 0
b b 0 0 b
b b c 0 b
b a 0 0 b
b a c 0 b
a a 0 0 a
a a c 0 a
a b 0 0 a
a b c 0 a
c c 0 0 c
c c c 0 c
c 0 0 0 c
c 0 c 0 c
dmin: 1
Weight Enumerator: 1x0 + 2x1 + 2x2 + 6x3 + 5x4 + 0x5
Complete Weight Enumerator: (X_0)5 + (X_0)4 (X_c)1 + (X_0)4 (X_c)1 + (X_0)3 (X_c)2 + (X_0)2 (X_b)3 + (X_0)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)3 + (X_0)1 (X_a)3 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_c)3 + (X_0)1 (X_c)4 + (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
Is it a nice code?: No
Generator Matrix-146
a a 0 0 a
b b 0 0 b
0 c 0 0 0
0 0 c 0 c
Codewords:
0 0 0 0 0
0 0 c 0 c
0 c 0 0 0
0 c c 0 c
b b 0 0 b
b b c 0 a
b a 0 0 b
b a c 0 a
a a 0 0 a
a a c 0 b
a b 0 0 a
a b c 0 b
c c 0 0 c
c c c 0 0
c 0 0 0 c
c 0 c 0 0
dmin: 1
Weight Enumerator: 1x0 + 1x1 + 3x2 + 7x3 + 4x4 + 0x5
Complete Weight Enumerator: (X_0)5 + (X_0)3 (X_c)2 + (X_0)4 (X_c)1 + (X_0)2 (X_c)3 + (X_0)2 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 + (X_0)1 (X_a)2 (X_b)1 (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_a)2 (X_b)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_c)3 + (X_0)2 (X_c)3 + (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
Is it a nice code?: No
Generator Matrix-147
a a 0 0 a
b b 0 0 b
0 c 0 0 0
0 0 c c 0
Codewords:
0 0 0 0 0
0 0 c c 0
0 c 0 0 0
0 c c c 0
b b 0 0 b
b b c c b
b a 0 0 b
b a c c b
a a 0 0 a
a a c c a
a b 0 0 a
a b c c a
c c 0 0 c
c c c c c
c 0 0 0 c
c 0 c c c
dmin: 1
Weight Enumerator: 1x0 + 1x1 + 2x2 + 6x3 + 1x4 + 5x5
Complete Weight Enumerator: (X_0)5 + (X_0)3 (X_c)2 + (X_0)4 (X_c)1 + (X_0)2 (X_c)3 + (X_0)2 (X_b)3 + (X_b)3 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 + (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)3 + (X_a)3 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 + (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_c)3 + (X_c)5 + (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
Is it a nice code?: No
Generator Matrix-148
a a 0 0 a
b b 0 0 b
0 c 0 0 0
0 0 c c c
Codewords:
0 0 0 0 0
0 0 c c c
0 c 0 0 0
0 c c c c
b b 0 0 b
b b c c a
b a 0 0 b
b a c c a
a a 0 0 a
a a c c b
a b 0 0 a
a b c c b
c c 0 0 c
c c c c 0
c 0 0 0 c
c 0 c c 0
dmin: 1
Weight Enumerator: 1x0 + 1x1 + 1x2 + 7x3 + 2x4 + 4x5
Complete Weight Enumerator: (X_0)5 + (X_0)2 (X_c)3 + (X_0)4 (X_c)1 + (X_0)1 (X_c)4 + (X_0)2 (X_b)3 + (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 + (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)3 + (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 + (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_c)3 + (X_0)1 (X_c)4 + (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
Is it a nice code?: No
Generator Matrix-149
a a 0 0 a
b b 0 0 b
0 c 0 0 c
0 0 c 0 0
Codewords:
0 0 0 0 0
0 0 c 0 0
0 c 0 0 c
0 c c 0 c
b b 0 0 b
b b c 0 b
b a 0 0 a
b a c 0 a
a a 0 0 a
a a c 0 a
a b 0 0 b
a b c 0 b
c c 0 0 c
c c c 0 c
c 0 0 0 0
c 0 c 0 0
dmin: 1
Weight Enumerator: 1x0 + 2x1 + 2x2 + 6x3 + 5x4 + 0x5
Complete Weight Enumerator: (X_0)5 + (X_0)4 (X_c)1 + (X_0)3 (X_c)2 + (X_0)2 (X_c)3 + (X_0)2 (X_b)3 + (X_0)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)3 + (X_0)1 (X_a)3 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_c)3 + (X_0)1 (X_c)4 + (X_0)4 (X_c)1 + (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-150
a a 0 0 a
b b 0 0 b
0 c 0 0 c
0 0 c 0 c
Codewords:
0 0 0 0 0
0 0 c 0 c
0 c 0 0 c
0 c c 0 0
b b 0 0 b
b b c 0 a
b a 0 0 a
b a c 0 b
a a 0 0 a
a a c 0 b
a b 0 0 b
a b c 0 a
c c 0 0 c
c c c 0 0
c 0 0 0 0
c 0 c 0 c
dmin: 1
Weight Enumerator: 1x0 + 1x1 + 3x2 + 7x3 + 4x4 + 0x5
Complete Weight Enumerator: (X_0)5 + (X_0)3 (X_c)2 + (X_0)3 (X_c)2 + (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)2 (X_b)1 + (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_a)1 (X_b)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_c)3 + (X_0)2 (X_c)3 + (X_0)4 (X_c)1 + (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-151
a a 0 0 a
b b 0 0 b
0 c 0 0 c
0 0 c c 0
Codewords:
0 0 0 0 0
0 0 c c 0
0 c 0 0 c
0 c c c c
b b 0 0 b
b b c c b
b a 0 0 a
b a c c a
a a 0 0 a
a a c c a
a b 0 0 b
a b c c b
c c 0 0 c
c c c c c
c 0 0 0 0
c 0 c c 0
dmin: 1
Weight Enumerator: 1x0 + 1x1 + 2x2 + 6x3 + 1x4 + 5x5
Complete Weight Enumerator: (X_0)5 + (X_0)3 (X_c)2 + (X_0)3 (X_c)2 + (X_0)1 (X_c)4 + (X_0)2 (X_b)3 + (X_b)3 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 + (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)3 + (X_a)3 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 + (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_c)3 + (X_c)5 + (X_0)4 (X_c)1 + (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-152
a a 0 0 a
b b 0 0 b
0 c 0 0 c
0 0 c c c
Codewords:
0 0 0 0 0
0 0 c c c
0 c 0 0 c
0 c c c 0
b b 0 0 b
b b c c a
b a 0 0 a
b a c c b
a a 0 0 a
a a c c b
a b 0 0 b
a b c c a
c c 0 0 c
c c c c 0
c 0 0 0 0
c 0 c c c
dmin: 1
Weight Enumerator: 1x0 + 1x1 + 1x2 + 7x3 + 2x4 + 4x5
Complete Weight Enumerator: (X_0)5 + (X_0)2 (X_c)3 + (X_0)3 (X_c)2 + (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)2 (X_b)1 + (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_a)1 (X_b)2 + (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_c)3 + (X_0)1 (X_c)4 + (X_0)4 (X_c)1 + (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-153
a a 0 0 a
b b 0 0 b
0 c 0 c 0
0 0 c 0 0
Codewords:
0 0 0 0 0
0 0 c 0 0
0 c 0 c 0
0 c c c 0
b b 0 0 b
b b c 0 b
b a 0 c b
b a c c b
a a 0 0 a
a a c 0 a
a b 0 c a
a b c c a
c c 0 0 c
c c c 0 c
c 0 0 c c
c 0 c c c
dmin: 1
Weight Enumerator: 1x0 + 1x1 + 1x2 + 5x3 + 6x4 + 2x5
Complete Weight Enumerator: (X_0)5 + (X_0)4 (X_c)1 + (X_0)3 (X_c)2 + (X_0)2 (X_c)3 + (X_0)2 (X_b)3 + (X_0)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)1 + (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)3 + (X_0)1 (X_a)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)1 + (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_c)3 + (X_0)1 (X_c)4 + (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-154
a a 0 0 a
b b 0 0 b
0 c 0 c 0
0 0 c 0 c
Codewords:
0 0 0 0 0
0 0 c 0 c
0 c 0 c 0
0 c c c c
b b 0 0 b
b b c 0 a
b a 0 c b
b a c c a
a a 0 0 a
a a c 0 b
a b 0 c a
a b c c b
c c 0 0 c
c c c 0 0
c 0 0 c c
c 0 c c 0
dmin: 2
Weight Enumerator: 1x0 + 0x1 + 2x2 + 6x3 + 5x4 + 2x5
Complete Weight Enumerator: (X_0)5 + (X_0)3 (X_c)2 + (X_0)3 (X_c)2 + (X_0)1 (X_c)4 + (X_0)2 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)1 + (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)1 + (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_c)3 + (X_0)2 (X_c)3 + (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-155
a a 0 0 a
b b 0 0 b
0 c 0 c 0
0 0 c c 0
Codewords:
0 0 0 0 0
0 0 c c 0
0 c 0 c 0
0 c c 0 0
b b 0 0 b
b b c c b
b a 0 c b
b a c 0 b
a a 0 0 a
a a c c a
a b 0 c a
a b c 0 a
c c 0 0 c
c c c c c
c 0 0 c c
c 0 c 0 c
dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 5x3 + 4x4 + 3x5
Complete Weight Enumerator: (X_0)5 + (X_0)3 (X_c)2 + (X_0)3 (X_c)2 + (X_0)3 (X_c)2 + (X_0)2 (X_b)3 + (X_b)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)3 + (X_a)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_c)3 + (X_c)5 + (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-156
a a 0 0 a
b b 0 0 b
0 c 0 c 0
0 0 c c c
Codewords:
0 0 0 0 0
0 0 c c c
0 c 0 c 0
0 c c 0 c
b b 0 0 b
b b c c a
b a 0 c b
b a c 0 a
a a 0 0 a
a a c c b
a b 0 c a
a b c 0 b
c c 0 0 c
c c c c 0
c 0 0 c c
c 0 c 0 0
dmin: 2
Weight Enumerator: 1x0 + 0x1 + 2x2 + 6x3 + 5x4 + 2x5
Complete Weight Enumerator: (X_0)5 + (X_0)2 (X_c)3 + (X_0)3 (X_c)2 + (X_0)2 (X_c)3 + (X_0)2 (X_b)3 + (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)3 + (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_c)3 + (X_0)1 (X_c)4 + (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-157
a a 0 0 a
b b 0 0 b
0 c 0 c c
0 0 c 0 0
Codewords:
0 0 0 0 0
0 0 c 0 0
0 c 0 c c
0 c c c c
b b 0 0 b
b b c 0 b
b a 0 c a
b a c c a
a a 0 0 a
a a c 0 a
a b 0 c b
a b c c b
c c 0 0 c
c c c 0 c
c 0 0 c 0
c 0 c c 0
dmin: 1
Weight Enumerator: 1x0 + 1x1 + 1x2 + 5x3 + 6x4 + 2x5
Complete Weight Enumerator: (X_0)5 + (X_0)4 (X_c)1 + (X_0)2 (X_c)3 + (X_0)1 (X_c)4 + (X_0)2 (X_b)3 + (X_0)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)1 + (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)3 + (X_0)1 (X_a)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)1 + (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_c)3 + (X_0)1 (X_c)4 + (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
Is it a nice code?: No
Generator Matrix-158
a a 0 0 a
b b 0 0 b
0 c 0 c c
0 0 c 0 c
Codewords:
0 0 0 0 0
0 0 c 0 c
0 c 0 c c
0 c c c 0
b b 0 0 b
b b c 0 a
b a 0 c a
b a c c b
a a 0 0 a
a a c 0 b
a b 0 c b
a b c c a
c c 0 0 c
c c c 0 0
c 0 0 c 0
c 0 c c c
dmin: 2
Weight Enumerator: 1x0 + 0x1 + 2x2 + 6x3 + 5x4 + 2x5
Complete Weight Enumerator: (X_0)5 + (X_0)3 (X_c)2 + (X_0)2 (X_c)3 + (X_0)2 (X_c)3 + (X_0)2 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)1 + (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)1 + (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_c)3 + (X_0)2 (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
Is it a nice code?: No
Generator Matrix-159
a a 0 0 a
b b 0 0 b
0 c 0 c c
0 0 c c 0
Codewords:
0 0 0 0 0
0 0 c c 0
0 c 0 c c
0 c c 0 c
b b 0 0 b
b b c c b
b a 0 c a
b a c 0 a
a a 0 0 a
a a c c a
a b 0 c b
a b c 0 b
c c 0 0 c
c c c c c
c 0 0 c 0
c 0 c 0 0
dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 5x3 + 4x4 + 3x5
Complete Weight Enumerator: (X_0)5 + (X_0)3 (X_c)2 + (X_0)2 (X_c)3 + (X_0)2 (X_c)3 + (X_0)2 (X_b)3 + (X_b)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)3 + (X_a)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_c)3 + (X_c)5 + (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
Is it a nice code?: No
Generator Matrix-160
a a 0 0 a
b b 0 0 b
0 c 0 c c
0 0 c c c
Codewords:
0 0 0 0 0
0 0 c c c
0 c 0 c c
0 c c 0 0
b b 0 0 b
b b c c a
b a 0 c a
b a c 0 b
a a 0 0 a
a a c c b
a b 0 c b
a b c 0 a
c c 0 0 c
c c c c 0
c 0 0 c 0
c 0 c 0 c
dmin: 2
Weight Enumerator: 1x0 + 0x1 + 2x2 + 6x3 + 5x4 + 2x5
Complete Weight Enumerator: (X_0)5 + (X_0)2 (X_c)3 + (X_0)2 (X_c)3 + (X_0)3 (X_c)2 + (X_0)2 (X_b)3 + (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)3 + (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_c)3 + (X_0)1 (X_c)4 + (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
Is it a nice code?: No
Generator Matrix-161
a a 0 a 0
b b 0 b 0
0 c 0 0 0
0 0 c 0 0
Codewords:
0 0 0 0 0
0 0 c 0 0
0 c 0 0 0
0 c c 0 0
b b 0 b 0
b b c b 0
b a 0 b 0
b a c b 0
a a 0 a 0
a a c a 0
a b 0 a 0
a b c a 0
c c 0 c 0
c c c c 0
c 0 0 c 0
c 0 c c 0
dmin: 1
Weight Enumerator: 1x0 + 2x1 + 2x2 + 6x3 + 5x4 + 0x5
Complete Weight Enumerator: (X_0)5 + (X_0)4 (X_c)1 + (X_0)4 (X_c)1 + (X_0)3 (X_c)2 + (X_0)2 (X_b)3 + (X_0)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)3 + (X_0)1 (X_a)3 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_c)3 + (X_0)1 (X_c)4 + (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
Is it a nice code?: No
Generator Matrix-162
a a 0 a 0
b b 0 b 0
0 c 0 0 0
0 0 c 0 c
Codewords:
0 0 0 0 0
0 0 c 0 c
0 c 0 0 0
0 c c 0 c
b b 0 b 0
b b c b c
b a 0 b 0
b a c b c
a a 0 a 0
a a c a c
a b 0 a 0
a b c a c
c c 0 c 0
c c c c c
c 0 0 c 0
c 0 c c c
dmin: 1
Weight Enumerator: 1x0 + 1x1 + 2x2 + 6x3 + 1x4 + 5x5
Complete Weight Enumerator: (X_0)5 + (X_0)3 (X_c)2 + (X_0)4 (X_c)1 + (X_0)2 (X_c)3 + (X_0)2 (X_b)3 + (X_b)3 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 + (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)3 + (X_a)3 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 + (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_c)3 + (X_c)5 + (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
Is it a nice code?: No
Generator Matrix-163
a a 0 a 0
b b 0 b 0
0 c 0 0 0
0 0 c c 0
Codewords:
0 0 0 0 0
0 0 c c 0
0 c 0 0 0
0 c c c 0
b b 0 b 0
b b c a 0
b a 0 b 0
b a c a 0
a a 0 a 0
a a c b 0
a b 0 a 0
a b c b 0
c c 0 c 0
c c c 0 0
c 0 0 c 0
c 0 c 0 0
dmin: 1
Weight Enumerator: 1x0 + 1x1 + 3x2 + 7x3 + 4x4 + 0x5
Complete Weight Enumerator: (X_0)5 + (X_0)3 (X_c)2 + (X_0)4 (X_c)1 + (X_0)2 (X_c)3 + (X_0)2 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 + (X_0)1 (X_a)2 (X_b)1 (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_a)2 (X_b)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_c)3 + (X_0)2 (X_c)3 + (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
Is it a nice code?: No
Generator Matrix-164
a a 0 a 0
b b 0 b 0
0 c 0 0 0
0 0 c c c
Codewords:
0 0 0 0 0
0 0 c c c
0 c 0 0 0
0 c c c c
b b 0 b 0
b b c a c
b a 0 b 0
b a c a c
a a 0 a 0
a a c b c
a b 0 a 0
a b c b c
c c 0 c 0
c c c 0 c
c 0 0 c 0
c 0 c 0 c
dmin: 1
Weight Enumerator: 1x0 + 1x1 + 1x2 + 7x3 + 2x4 + 4x5
Complete Weight Enumerator: (X_0)5 + (X_0)2 (X_c)3 + (X_0)4 (X_c)1 + (X_0)1 (X_c)4 + (X_0)2 (X_b)3 + (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 + (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)3 + (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 + (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_c)3 + (X_0)1 (X_c)4 + (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
Is it a nice code?: No
Generator Matrix-165
a a 0 a 0
b b 0 b 0
0 c 0 0 c
0 0 c 0 0
Codewords:
0 0 0 0 0
0 0 c 0 0
0 c 0 0 c
0 c c 0 c
b b 0 b 0
b b c b 0
b a 0 b c
b a c b c
a a 0 a 0
a a c a 0
a b 0 a c
a b c a c
c c 0 c 0
c c c c 0
c 0 0 c c
c 0 c c c
dmin: 1
Weight Enumerator: 1x0 + 1x1 + 1x2 + 5x3 + 6x4 + 2x5
Complete Weight Enumerator: (X_0)5 + (X_0)4 (X_c)1 + (X_0)3 (X_c)2 + (X_0)2 (X_c)3 + (X_0)2 (X_b)3 + (X_0)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)1 + (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)3 + (X_0)1 (X_a)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)1 + (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_c)3 + (X_0)1 (X_c)4 + (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-166
a a 0 a 0
b b 0 b 0
0 c 0 0 c
0 0 c 0 c
Codewords:
0 0 0 0 0
0 0 c 0 c
0 c 0 0 c
0 c c 0 0
b b 0 b 0
b b c b c
b a 0 b c
b a c b 0
a a 0 a 0
a a c a c
a b 0 a c
a b c a 0
c c 0 c 0
c c c c c
c 0 0 c c
c 0 c c 0
dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 5x3 + 4x4 + 3x5
Complete Weight Enumerator: (X_0)5 + (X_0)3 (X_c)2 + (X_0)3 (X_c)2 + (X_0)3 (X_c)2 + (X_0)2 (X_b)3 + (X_b)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)3 + (X_a)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_c)3 + (X_c)5 + (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-167
a a 0 a 0
b b 0 b 0
0 c 0 0 c
0 0 c c 0
Codewords:
0 0 0 0 0
0 0 c c 0
0 c 0 0 c
0 c c c c
b b 0 b 0
b b c a 0
b a 0 b c
b a c a c
a a 0 a 0
a a c b 0
a b 0 a c
a b c b c
c c 0 c 0
c c c 0 0
c 0 0 c c
c 0 c 0 c
dmin: 2
Weight Enumerator: 1x0 + 0x1 + 2x2 + 6x3 + 5x4 + 2x5
Complete Weight Enumerator: (X_0)5 + (X_0)3 (X_c)2 + (X_0)3 (X_c)2 + (X_0)1 (X_c)4 + (X_0)2 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)1 + (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)1 + (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_c)3 + (X_0)2 (X_c)3 + (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-168
a a 0 a 0
b b 0 b 0
0 c 0 0 c
0 0 c c c
Codewords:
0 0 0 0 0
0 0 c c c
0 c 0 0 c
0 c c c 0
b b 0 b 0
b b c a c
b a 0 b c
b a c a 0
a a 0 a 0
a a c b c
a b 0 a c
a b c b 0
c c 0 c 0
c c c 0 c
c 0 0 c c
c 0 c 0 0
dmin: 2
Weight Enumerator: 1x0 + 0x1 + 2x2 + 6x3 + 5x4 + 2x5
Complete Weight Enumerator: (X_0)5 + (X_0)2 (X_c)3 + (X_0)3 (X_c)2 + (X_0)2 (X_c)3 + (X_0)2 (X_b)3 + (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)3 + (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_c)3 + (X_0)1 (X_c)4 + (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-169
a a 0 a 0
b b 0 b 0
0 c 0 c 0
0 0 c 0 0
Codewords:
0 0 0 0 0
0 0 c 0 0
0 c 0 c 0
0 c c c 0
b b 0 b 0
b b c b 0
b a 0 a 0
b a c a 0
a a 0 a 0
a a c a 0
a b 0 b 0
a b c b 0
c c 0 c 0
c c c c 0
c 0 0 0 0
c 0 c 0 0
dmin: 1
Weight Enumerator: 1x0 + 2x1 + 2x2 + 6x3 + 5x4 + 0x5
Complete Weight Enumerator: (X_0)5 + (X_0)4 (X_c)1 + (X_0)3 (X_c)2 + (X_0)2 (X_c)3 + (X_0)2 (X_b)3 + (X_0)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)3 + (X_0)1 (X_a)3 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_c)3 + (X_0)1 (X_c)4 + (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 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-170
a a 0 a 0
b b 0 b 0
0 c 0 c 0
0 0 c 0 c
Codewords:
0 0 0 0 0
0 0 c 0 c
0 c 0 c 0
0 c c c c
b b 0 b 0
b b c b c
b a 0 a 0
b a c a c
a a 0 a 0
a a c a c
a b 0 b 0
a b c b c
c c 0 c 0
c c c c c
c 0 0 0 0
c 0 c 0 c
dmin: 1
Weight Enumerator: 1x0 + 1x1 + 2x2 + 6x3 + 1x4 + 5x5
Complete Weight Enumerator: (X_0)5 + (X_0)3 (X_c)2 + (X_0)3 (X_c)2 + (X_0)1 (X_c)4 + (X_0)2 (X_b)3 + (X_b)3 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 + (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)3 + (X_a)3 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 + (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_c)3 + (X_c)5 + (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 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-171
a a 0 a 0
b b 0 b 0
0 c 0 c 0
0 0 c c 0
Codewords:
0 0 0 0 0
0 0 c c 0
0 c 0 c 0
0 c c 0 0
b b 0 b 0
b b c a 0
b a 0 a 0
b a c b 0
a a 0 a 0
a a c b 0
a b 0 b 0
a b c a 0
c c 0 c 0
c c c 0 0
c 0 0 0 0
c 0 c c 0
dmin: 1
Weight Enumerator: 1x0 + 1x1 + 3x2 + 7x3 + 4x4 + 0x5
Complete Weight Enumerator: (X_0)5 + (X_0)3 (X_c)2 + (X_0)3 (X_c)2 + (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)2 (X_b)1 + (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_a)1 (X_b)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_c)3 + (X_0)2 (X_c)3 + (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 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-172
a a 0 a 0
b b 0 b 0
0 c 0 c 0
0 0 c c c
Codewords:
0 0 0 0 0
0 0 c c c
0 c 0 c 0
0 c c 0 c
b b 0 b 0
b b c a c
b a 0 a 0
b a c b c
a a 0 a 0
a a c b c
a b 0 b 0
a b c a c
c c 0 c 0
c c c 0 c
c 0 0 0 0
c 0 c c c
dmin: 1
Weight Enumerator: 1x0 + 1x1 + 1x2 + 7x3 + 2x4 + 4x5
Complete Weight Enumerator: (X_0)5 + (X_0)2 (X_c)3 + (X_0)3 (X_c)2 + (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)2 (X_b)1 + (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_a)1 (X_b)2 + (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_c)3 + (X_0)1 (X_c)4 + (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 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-173
a a 0 a 0
b b 0 b 0
0 c 0 c c
0 0 c 0 0
Codewords:
0 0 0 0 0
0 0 c 0 0
0 c 0 c c
0 c c c c
b b 0 b 0
b b c b 0
b a 0 a c
b a c a c
a a 0 a 0
a a c a 0
a b 0 b c
a b c b c
c c 0 c 0
c c c c 0
c 0 0 0 c
c 0 c 0 c
dmin: 1
Weight Enumerator: 1x0 + 1x1 + 1x2 + 5x3 + 6x4 + 2x5
Complete Weight Enumerator: (X_0)5 + (X_0)4 (X_c)1 + (X_0)2 (X_c)3 + (X_0)1 (X_c)4 + (X_0)2 (X_b)3 + (X_0)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)1 + (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)3 + (X_0)1 (X_a)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)1 + (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_c)3 + (X_0)1 (X_c)4 + (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
Is it a nice code?: No
Generator Matrix-174
a a 0 a 0
b b 0 b 0
0 c 0 c c
0 0 c 0 c
Codewords:
0 0 0 0 0
0 0 c 0 c
0 c 0 c c
0 c c c 0
b b 0 b 0
b b c b c
b a 0 a c
b a c a 0
a a 0 a 0
a a c a c
a b 0 b c
a b c b 0
c c 0 c 0
c c c c c
c 0 0 0 c
c 0 c 0 0
dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 5x3 + 4x4 + 3x5
Complete Weight Enumerator: (X_0)5 + (X_0)3 (X_c)2 + (X_0)2 (X_c)3 + (X_0)2 (X_c)3 + (X_0)2 (X_b)3 + (X_b)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)3 + (X_a)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_c)3 + (X_c)5 + (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
Is it a nice code?: No
Generator Matrix-175
a a 0 a 0
b b 0 b 0
0 c 0 c c
0 0 c c 0
Codewords:
0 0 0 0 0
0 0 c c 0
0 c 0 c c
0 c c 0 c
b b 0 b 0
b b c a 0
b a 0 a c
b a c b c
a a 0 a 0
a a c b 0
a b 0 b c
a b c a c
c c 0 c 0
c c c 0 0
c 0 0 0 c
c 0 c c c
dmin: 2
Weight Enumerator: 1x0 + 0x1 + 2x2 + 6x3 + 5x4 + 2x5
Complete Weight Enumerator: (X_0)5 + (X_0)3 (X_c)2 + (X_0)2 (X_c)3 + (X_0)2 (X_c)3 + (X_0)2 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)1 + (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)1 + (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_c)3 + (X_0)2 (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
Is it a nice code?: No
Generator Matrix-176
a a 0 a 0
b b 0 b 0
0 c 0 c c
0 0 c c c
Codewords:
0 0 0 0 0
0 0 c c c
0 c 0 c c
0 c c 0 0
b b 0 b 0
b b c a c
b a 0 a c
b a c b 0
a a 0 a 0
a a c b c
a b 0 b c
a b c a 0
c c 0 c 0
c c c 0 c
c 0 0 0 c
c 0 c c 0
dmin: 2
Weight Enumerator: 1x0 + 0x1 + 2x2 + 6x3 + 5x4 + 2x5
Complete Weight Enumerator: (X_0)5 + (X_0)2 (X_c)3 + (X_0)2 (X_c)3 + (X_0)3 (X_c)2 + (X_0)2 (X_b)3 + (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)3 + (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_c)3 + (X_0)1 (X_c)4 + (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
Is it a nice code?: No
Generator Matrix-177
a a 0 a a
b b 0 b b
0 c 0 0 0
0 0 c 0 0
Codewords:
0 0 0 0 0
0 0 c 0 0
0 c 0 0 0
0 c c 0 0
b b 0 b b
b b c b b
b a 0 b b
b a c b b
a a 0 a a
a a c a a
a b 0 a a
a b c a a
c c 0 c c
c c c c c
c 0 0 c c
c 0 c c c
dmin: 1
Weight Enumerator: 1x0 + 2x1 + 1x2 + 1x3 + 6x4 + 5x5
Complete Weight Enumerator: (X_0)5 + (X_0)4 (X_c)1 + (X_0)4 (X_c)1 + (X_0)3 (X_c)2 + (X_0)1 (X_b)4 + (X_b)4 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 + (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)4 + (X_a)4 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 + (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_c)4 + (X_c)5 + (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
Is it a nice code?: No
Generator Matrix-178
a a 0 a a
b b 0 b b
0 c 0 0 0
0 0 c 0 c
Codewords:
0 0 0 0 0
0 0 c 0 c
0 c 0 0 0
0 c c 0 c
b b 0 b b
b b c b a
b a 0 b b
b a c b a
a a 0 a a
a a c a b
a b 0 a a
a b c a b
c c 0 c c
c c c c 0
c 0 0 c c
c 0 c c 0
dmin: 1
Weight Enumerator: 1x0 + 1x1 + 1x2 + 3x3 + 6x4 + 4x5
Complete Weight Enumerator: (X_0)5 + (X_0)3 (X_c)2 + (X_0)4 (X_c)1 + (X_0)2 (X_c)3 + (X_0)1 (X_b)4 + (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 + (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)4 + (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 + (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_c)4 + (X_0)1 (X_c)4 + (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
Is it a nice code?: No
Generator Matrix-179
a a 0 a a
b b 0 b b
0 c 0 0 0
0 0 c c 0
Codewords:
0 0 0 0 0
0 0 c c 0
0 c 0 0 0
0 c c c 0
b b 0 b b
b b c a b
b a 0 b b
b a c a b
a a 0 a a
a a c b a
a b 0 a a
a b c b a
c c 0 c c
c c c 0 c
c 0 0 c c
c 0 c 0 c
dmin: 1
Weight Enumerator: 1x0 + 1x1 + 1x2 + 3x3 + 6x4 + 4x5
Complete Weight Enumerator: (X_0)5 + (X_0)3 (X_c)2 + (X_0)4 (X_c)1 + (X_0)2 (X_c)3 + (X_0)1 (X_b)4 + (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 + (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)4 + (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 + (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_c)4 + (X_0)1 (X_c)4 + (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
Is it a nice code?: No
Generator Matrix-180
a a 0 a a
b b 0 b b
0 c 0 0 0
0 0 c c c
Codewords:
0 0 0 0 0
0 0 c c c
0 c 0 0 0
0 c c c c
b b 0 b b
b b c a a
b a 0 b b
b a c a a
a a 0 a a
a a c b b
a b 0 a a
a b c b b
c c 0 c c
c c c 0 0
c 0 0 c c
c 0 c 0 0
dmin: 1
Weight Enumerator: 1x0 + 1x1 + 1x2 + 3x3 + 6x4 + 4x5
Complete Weight Enumerator: (X_0)5 + (X_0)2 (X_c)3 + (X_0)4 (X_c)1 + (X_0)1 (X_c)4 + (X_0)1 (X_b)4 + (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 + (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)4 + (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 + (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_c)4 + (X_0)2 (X_c)3 + (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
Is it a nice code?: No
Generator Matrix-181
a a 0 a a
b b 0 b b
0 c 0 0 c
0 0 c 0 0
Codewords:
0 0 0 0 0
0 0 c 0 0
0 c 0 0 c
0 c c 0 c
b b 0 b b
b b c b b
b a 0 b a
b a c b a
a a 0 a a
a a c a a
a b 0 a b
a b c a b
c c 0 c c
c c c c c
c 0 0 c 0
c 0 c c 0
dmin: 1
Weight Enumerator: 1x0 + 1x1 + 2x2 + 2x3 + 5x4 + 5x5
Complete Weight Enumerator: (X_0)5 + (X_0)4 (X_c)1 + (X_0)3 (X_c)2 + (X_0)2 (X_c)3 + (X_0)1 (X_b)4 + (X_b)4 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 + (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)4 + (X_a)4 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 + (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_c)4 + (X_c)5 + (X_0)3 (X_c)2 + (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-182
a a 0 a a
b b 0 b b
0 c 0 0 c
0 0 c 0 c
Codewords:
0 0 0 0 0
0 0 c 0 c
0 c 0 0 c
0 c c 0 0
b b 0 b b
b b c b a
b a 0 b a
b a c b b
a a 0 a a
a a c a b
a b 0 a b
a b c a a
c c 0 c c
c c c c 0
c 0 0 c 0
c 0 c c c
dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 0x3 + 7x4 + 4x5
Complete Weight Enumerator: (X_0)5 + (X_0)3 (X_c)2 + (X_0)3 (X_c)2 + (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)2 (X_b)2 + (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_a)2 (X_b)2 + (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_c)4 + (X_0)1 (X_c)4 + (X_0)3 (X_c)2 + (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-183
a a 0 a a
b b 0 b b
0 c 0 0 c
0 0 c c 0
Codewords:
0 0 0 0 0
0 0 c c 0
0 c 0 0 c
0 c c c c
b b 0 b b
b b c a b
b a 0 b a
b a c a a
a a 0 a a
a a c b a
a b 0 a b
a b c b b
c c 0 c c
c c c 0 c
c 0 0 c 0
c 0 c 0 0
dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 0x3 + 7x4 + 4x5
Complete Weight Enumerator: (X_0)5 + (X_0)3 (X_c)2 + (X_0)3 (X_c)2 + (X_0)1 (X_c)4 + (X_0)1 (X_b)4 + (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 + (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)4 + (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 + (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_c)4 + (X_0)1 (X_c)4 + (X_0)3 (X_c)2 + (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-184
a a 0 a a
b b 0 b b
0 c 0 0 c
0 0 c c c
Codewords:
0 0 0 0 0
0 0 c c c
0 c 0 0 c
0 c c c 0
b b 0 b b
b b c a a
b a 0 b a
b a c a b
a a 0 a a
a a c b b
a b 0 a b
a b c b a
c c 0 c c
c c c 0 0
c 0 0 c 0
c 0 c 0 c
dmin: 2
Weight Enumerator: 1x0 + 0x1 + 2x2 + 4x3 + 5x4 + 4x5
Complete Weight Enumerator: (X_0)5 + (X_0)2 (X_c)3 + (X_0)3 (X_c)2 + (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)2 (X_b)2 + (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_a)2 (X_b)2 + (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_c)4 + (X_0)2 (X_c)3 + (X_0)3 (X_c)2 + (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-185
a a 0 a a
b b 0 b b
0 c 0 c 0
0 0 c 0 0
Codewords:
0 0 0 0 0
0 0 c 0 0
0 c 0 c 0
0 c c c 0
b b 0 b b
b b c b b
b a 0 a b
b a c a b
a a 0 a a
a a c a a
a b 0 b a
a b c b a
c c 0 c c
c c c c c
c 0 0 0 c
c 0 c 0 c
dmin: 1
Weight Enumerator: 1x0 + 1x1 + 2x2 + 2x3 + 5x4 + 5x5
Complete Weight Enumerator: (X_0)5 + (X_0)4 (X_c)1 + (X_0)3 (X_c)2 + (X_0)2 (X_c)3 + (X_0)1 (X_b)4 + (X_b)4 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 + (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)4 + (X_a)4 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 + (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_c)4 + (X_c)5 + (X_0)3 (X_c)2 + (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-186
a a 0 a a
b b 0 b b
0 c 0 c 0
0 0 c 0 c
Codewords:
0 0 0 0 0
0 0 c 0 c
0 c 0 c 0
0 c c c c
b b 0 b b
b b c b a
b a 0 a b
b a c a a
a a 0 a a
a a c a b
a b 0 b a
a b c b b
c c 0 c c
c c c c 0
c 0 0 0 c
c 0 c 0 0
dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 0x3 + 7x4 + 4x5
Complete Weight Enumerator: (X_0)5 + (X_0)3 (X_c)2 + (X_0)3 (X_c)2 + (X_0)1 (X_c)4 + (X_0)1 (X_b)4 + (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 + (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)4 + (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 + (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_c)4 + (X_0)1 (X_c)4 + (X_0)3 (X_c)2 + (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-187
a a 0 a a
b b 0 b b
0 c 0 c 0
0 0 c c 0
Codewords:
0 0 0 0 0
0 0 c c 0
0 c 0 c 0
0 c c 0 0
b b 0 b b
b b c a b
b a 0 a b
b a c b b
a a 0 a a
a a c b a
a b 0 b a
a b c a a
c c 0 c c
c c c 0 c
c 0 0 0 c
c 0 c c c
dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 0x3 + 7x4 + 4x5
Complete Weight Enumerator: (X_0)5 + (X_0)3 (X_c)2 + (X_0)3 (X_c)2 + (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)2 (X_b)2 + (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_a)2 (X_b)2 + (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_c)4 + (X_0)1 (X_c)4 + (X_0)3 (X_c)2 + (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-188
a a 0 a a
b b 0 b b
0 c 0 c 0
0 0 c c c
Codewords:
0 0 0 0 0
0 0 c c c
0 c 0 c 0
0 c c 0 c
b b 0 b b
b b c a a
b a 0 a b
b a c b a
a a 0 a a
a a c b b
a b 0 b a
a b c a b
c c 0 c c
c c c 0 0
c 0 0 0 c
c 0 c c 0
dmin: 2
Weight Enumerator: 1x0 + 0x1 + 2x2 + 4x3 + 5x4 + 4x5
Complete Weight Enumerator: (X_0)5 + (X_0)2 (X_c)3 + (X_0)3 (X_c)2 + (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)2 (X_b)2 + (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_a)2 (X_b)2 + (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_c)4 + (X_0)2 (X_c)3 + (X_0)3 (X_c)2 + (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-189
a a 0 a a
b b 0 b b
0 c 0 c c
0 0 c 0 0
Codewords:
0 0 0 0 0
0 0 c 0 0
0 c 0 c c
0 c c c c
b b 0 b b
b b c b b
b a 0 a a
b a c a a
a a 0 a a
a a c a a
a b 0 b b
a b c b b
c c 0 c c
c c c c c
c 0 0 0 0
c 0 c 0 0
dmin: 1
Weight Enumerator: 1x0 + 2x1 + 1x2 + 1x3 + 6x4 + 5x5
Complete Weight Enumerator: (X_0)5 + (X_0)4 (X_c)1 + (X_0)2 (X_c)3 + (X_0)1 (X_c)4 + (X_0)1 (X_b)4 + (X_b)4 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 + (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)4 + (X_a)4 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 + (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_c)4 + (X_c)5 + (X_0)4 (X_c)1 + (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-190
a a 0 a a
b b 0 b b
0 c 0 c c
0 0 c 0 c
Codewords:
0 0 0 0 0
0 0 c 0 c
0 c 0 c c
0 c c c 0
b b 0 b b
b b c b a
b a 0 a a
b a c a b
a a 0 a a
a a c a b
a b 0 b b
a b c b a
c c 0 c c
c c c c 0
c 0 0 0 0
c 0 c 0 c
dmin: 1
Weight Enumerator: 1x0 + 1x1 + 1x2 + 3x3 + 6x4 + 4x5
Complete Weight Enumerator: (X_0)5 + (X_0)3 (X_c)2 + (X_0)2 (X_c)3 + (X_0)2 (X_c)3 + (X_0)1 (X_b)4 + (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 + (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)4 + (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 + (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_c)4 + (X_0)1 (X_c)4 + (X_0)4 (X_c)1 + (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-191
a a 0 a a
b b 0 b b
0 c 0 c c
0 0 c c 0
Codewords:
0 0 0 0 0
0 0 c c 0
0 c 0 c c
0 c c 0 c
b b 0 b b
b b c a b
b a 0 a a
b a c b a
a a 0 a a
a a c b a
a b 0 b b
a b c a b
c c 0 c c
c c c 0 c
c 0 0 0 0
c 0 c c 0
dmin: 1
Weight Enumerator: 1x0 + 1x1 + 1x2 + 3x3 + 6x4 + 4x5
Complete Weight Enumerator: (X_0)5 + (X_0)3 (X_c)2 + (X_0)2 (X_c)3 + (X_0)2 (X_c)3 + (X_0)1 (X_b)4 + (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 + (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)4 + (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 + (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_c)4 + (X_0)1 (X_c)4 + (X_0)4 (X_c)1 + (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-192
a a 0 a a
b b 0 b b
0 c 0 c c
0 0 c c c
Codewords:
0 0 0 0 0
0 0 c c c
0 c 0 c c
0 c c 0 0
b b 0 b b
b b c a a
b a 0 a a
b a c b b
a a 0 a a
a a c b b
a b 0 b b
a b c a a
c c 0 c c
c c c 0 0
c 0 0 0 0
c 0 c c c
dmin: 1
Weight Enumerator: 1x0 + 1x1 + 1x2 + 3x3 + 6x4 + 4x5
Complete Weight Enumerator: (X_0)5 + (X_0)2 (X_c)3 + (X_0)2 (X_c)3 + (X_0)3 (X_c)2 + (X_0)1 (X_b)4 + (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 + (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)4 + (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 + (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_c)4 + (X_0)2 (X_c)3 + (X_0)4 (X_c)1 + (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-193
a a a 0 0
b b b 0 0
0 c 0 0 0
0 0 c 0 0
Codewords:
0 0 0 0 0
0 0 c 0 0
0 c 0 0 0
0 c c 0 0
b b b 0 0
b b a 0 0
b a b 0 0
b a a 0 0
a a a 0 0
a a b 0 0
a b a 0 0
a b b 0 0
c c c 0 0
c c 0 0 0
c 0 c 0 0
c 0 0 0 0
dmin: 1
Weight Enumerator: 1x0 + 3x1 + 3x2 + 9x3 + 0x4 + 0x5
Complete Weight Enumerator: (X_0)5 + (X_0)4 (X_c)1 + (X_0)4 (X_c)1 + (X_0)3 (X_c)2 + (X_0)2 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 + (X_0)2 (X_a)1 (X_b)2 + (X_0)2 (X_a)2 (X_b)1 + (X_0)2 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 + (X_0)2 (X_a)2 (X_b)1 + (X_0)2 (X_a)1 (X_b)2 + (X_0)2 (X_c)3 + (X_0)3 (X_c)2 + (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
Is it a nice code?: No
Generator Matrix-194
a a a 0 0
b b b 0 0
0 c 0 0 0
0 0 c 0 c
Codewords:
0 0 0 0 0
0 0 c 0 c
0 c 0 0 0
0 c c 0 c
b b b 0 0
b b a 0 c
b a b 0 0
b a a 0 c
a a a 0 0
a a b 0 c
a b a 0 0
a b b 0 c
c c c 0 0
c c 0 0 c
c 0 c 0 0
c 0 0 0 c
dmin: 1
Weight Enumerator: 1x0 + 1x1 + 3x2 + 7x3 + 4x4 + 0x5
Complete Weight Enumerator: (X_0)5 + (X_0)3 (X_c)2 + (X_0)4 (X_c)1 + (X_0)2 (X_c)3 + (X_0)2 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 + (X_0)1 (X_a)2 (X_b)1 (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_a)2 (X_b)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_c)3 + (X_0)2 (X_c)3 + (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
Is it a nice code?: No
Generator Matrix-195
a a a 0 0
b b b 0 0
0 c 0 0 0
0 0 c c 0
Codewords:
0 0 0 0 0
0 0 c c 0
0 c 0 0 0
0 c c c 0
b b b 0 0
b b a c 0
b a b 0 0
b a a c 0
a a a 0 0
a a b c 0
a b a 0 0
a b b c 0
c c c 0 0
c c 0 c 0
c 0 c 0 0
c 0 0 c 0
dmin: 1
Weight Enumerator: 1x0 + 1x1 + 3x2 + 7x3 + 4x4 + 0x5
Complete Weight Enumerator: (X_0)5 + (X_0)3 (X_c)2 + (X_0)4 (X_c)1 + (X_0)2 (X_c)3 + (X_0)2 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 + (X_0)1 (X_a)2 (X_b)1 (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_a)2 (X_b)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_c)3 + (X_0)2 (X_c)3 + (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
Is it a nice code?: No
Generator Matrix-196
a a a 0 0
b b b 0 0
0 c 0 0 0
0 0 c c c
Codewords:
0 0 0 0 0
0 0 c c c
0 c 0 0 0
0 c c c c
b b b 0 0
b b a c c
b a b 0 0
b a a c c
a a a 0 0
a a b c c
a b a 0 0
a b b c c
c c c 0 0
c c 0 c c
c 0 c 0 0
c 0 0 c c
dmin: 1
Weight Enumerator: 1x0 + 1x1 + 1x2 + 7x3 + 2x4 + 4x5
Complete Weight Enumerator: (X_0)5 + (X_0)2 (X_c)3 + (X_0)4 (X_c)1 + (X_0)1 (X_c)4 + (X_0)2 (X_b)3 + (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 + (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)3 + (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 + (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_c)3 + (X_0)1 (X_c)4 + (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
Is it a nice code?: No
Generator Matrix-197
a a a 0 0
b b b 0 0
0 c 0 0 c
0 0 c 0 0
Codewords:
0 0 0 0 0
0 0 c 0 0
0 c 0 0 c
0 c c 0 c
b b b 0 0
b b a 0 0
b a b 0 c
b a a 0 c
a a a 0 0
a a b 0 0
a b a 0 c
a b b 0 c
c c c 0 0
c c 0 0 0
c 0 c 0 c
c 0 0 0 c
dmin: 1
Weight Enumerator: 1x0 + 1x1 + 3x2 + 7x3 + 4x4 + 0x5
Complete Weight Enumerator: (X_0)5 + (X_0)4 (X_c)1 + (X_0)3 (X_c)2 + (X_0)2 (X_c)3 + (X_0)2 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_c)3 + (X_0)3 (X_c)2 + (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-198
a a a 0 0
b b b 0 0
0 c 0 0 c
0 0 c 0 c
Codewords:
0 0 0 0 0
0 0 c 0 c
0 c 0 0 c
0 c c 0 0
b b b 0 0
b b a 0 c
b a b 0 c
b a a 0 0
a a a 0 0
a a b 0 c
a b a 0 c
a b b 0 0
c c c 0 0
c c 0 0 c
c 0 c 0 c
c 0 0 0 0
dmin: 1
Weight Enumerator: 1x0 + 1x1 + 3x2 + 7x3 + 4x4 + 0x5
Complete Weight Enumerator: (X_0)5 + (X_0)3 (X_c)2 + (X_0)3 (X_c)2 + (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)1 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 + (X_0)2 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 + (X_0)2 (X_c)3 + (X_0)2 (X_c)3 + (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-199
a a a 0 0
b b b 0 0
0 c 0 0 c
0 0 c c 0
Codewords:
0 0 0 0 0
0 0 c c 0
0 c 0 0 c
0 c c c c
b b b 0 0
b b a c 0
b a b 0 c
b a a c c
a a a 0 0
a a b c 0
a b a 0 c
a b b c c
c c c 0 0
c c 0 c 0
c 0 c 0 c
c 0 0 c c
dmin: 2
Weight Enumerator: 1x0 + 0x1 + 2x2 + 6x3 + 5x4 + 2x5
Complete Weight Enumerator: (X_0)5 + (X_0)3 (X_c)2 + (X_0)3 (X_c)2 + (X_0)1 (X_c)4 + (X_0)2 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)1 + (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)1 + (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_c)3 + (X_0)2 (X_c)3 + (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-200
a a a 0 0
b b b 0 0
0 c 0 0 c
0 0 c c c
Codewords:
0 0 0 0 0
0 0 c c c
0 c 0 0 c
0 c c c 0
b b b 0 0
b b a c c
b a b 0 c
b a a c 0
a a a 0 0
a a b c c
a b a 0 c
a b b c 0
c c c 0 0
c c 0 c c
c 0 c 0 c
c 0 0 c 0
dmin: 2
Weight Enumerator: 1x0 + 0x1 + 2x2 + 6x3 + 5x4 + 2x5
Complete Weight Enumerator: (X_0)5 + (X_0)2 (X_c)3 + (X_0)3 (X_c)2 + (X_0)2 (X_c)3 + (X_0)2 (X_b)3 + (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)3 + (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_c)3 + (X_0)1 (X_c)4 + (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-201
a a a 0 0
b b b 0 0
0 c 0 c 0
0 0 c 0 0
Codewords:
0 0 0 0 0
0 0 c 0 0
0 c 0 c 0
0 c c c 0
b b b 0 0
b b a 0 0
b a b c 0
b a a c 0
a a a 0 0
a a b 0 0
a b a c 0
a b b c 0
c c c 0 0
c c 0 0 0
c 0 c c 0
c 0 0 c 0
dmin: 1
Weight Enumerator: 1x0 + 1x1 + 3x2 + 7x3 + 4x4 + 0x5
Complete Weight Enumerator: (X_0)5 + (X_0)4 (X_c)1 + (X_0)3 (X_c)2 + (X_0)2 (X_c)3 + (X_0)2 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_c)3 + (X_0)3 (X_c)2 + (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-202
a a a 0 0
b b b 0 0
0 c 0 c 0
0 0 c 0 c
Codewords:
0 0 0 0 0
0 0 c 0 c
0 c 0 c 0
0 c c c c
b b b 0 0
b b a 0 c
b a b c 0
b a a c c
a a a 0 0
a a b 0 c
a b a c 0
a b b c c
c c c 0 0
c c 0 0 c
c 0 c c 0
c 0 0 c c
dmin: 2
Weight Enumerator: 1x0 + 0x1 + 2x2 + 6x3 + 5x4 + 2x5
Complete Weight Enumerator: (X_0)5 + (X_0)3 (X_c)2 + (X_0)3 (X_c)2 + (X_0)1 (X_c)4 + (X_0)2 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)1 + (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)1 + (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_c)3 + (X_0)2 (X_c)3 + (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-203
a a a 0 0
b b b 0 0
0 c 0 c 0
0 0 c c 0
Codewords:
0 0 0 0 0
0 0 c c 0
0 c 0 c 0
0 c c 0 0
b b b 0 0
b b a c 0
b a b c 0
b a a 0 0
a a a 0 0
a a b c 0
a b a c 0
a b b 0 0
c c c 0 0
c c 0 c 0
c 0 c c 0
c 0 0 0 0
dmin: 1
Weight Enumerator: 1x0 + 1x1 + 3x2 + 7x3 + 4x4 + 0x5
Complete Weight Enumerator: (X_0)5 + (X_0)3 (X_c)2 + (X_0)3 (X_c)2 + (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)1 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 + (X_0)2 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 + (X_0)2 (X_c)3 + (X_0)2 (X_c)3 + (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-204
a a a 0 0
b b b 0 0
0 c 0 c 0
0 0 c c c
Codewords:
0 0 0 0 0
0 0 c c c
0 c 0 c 0
0 c c 0 c
b b b 0 0
b b a c c
b a b c 0
b a a 0 c
a a a 0 0
a a b c c
a b a c 0
a b b 0 c
c c c 0 0
c c 0 c c
c 0 c c 0
c 0 0 0 c
dmin: 2
Weight Enumerator: 1x0 + 0x1 + 2x2 + 6x3 + 5x4 + 2x5
Complete Weight Enumerator: (X_0)5 + (X_0)2 (X_c)3 + (X_0)3 (X_c)2 + (X_0)2 (X_c)3 + (X_0)2 (X_b)3 + (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)3 + (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_c)3 + (X_0)1 (X_c)4 + (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-205
a a a 0 0
b b b 0 0
0 c 0 c c
0 0 c 0 0
Codewords:
0 0 0 0 0
0 0 c 0 0
0 c 0 c c
0 c c c c
b b b 0 0
b b a 0 0
b a b c c
b a a c c
a a a 0 0
a a b 0 0
a b a c c
a b b c c
c c c 0 0
c c 0 0 0
c 0 c c c
c 0 0 c c
dmin: 1
Weight Enumerator: 1x0 + 1x1 + 1x2 + 7x3 + 2x4 + 4x5
Complete Weight Enumerator: (X_0)5 + (X_0)4 (X_c)1 + (X_0)2 (X_c)3 + (X_0)1 (X_c)4 + (X_0)2 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 + (X_a)1 (X_b)2 (X_c)2 + (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 + (X_a)2 (X_b)1 (X_c)2 + (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_c)3 + (X_0)3 (X_c)2 + (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
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-206
a a a 0 0
b b b 0 0
0 c 0 c c
0 0 c 0 c
Codewords:
0 0 0 0 0
0 0 c 0 c
0 c 0 c c
0 c c c 0
b b b 0 0
b b a 0 c
b a b c c
b a a c 0
a a a 0 0
a a b 0 c
a b a c c
a b b c 0
c c c 0 0
c c 0 0 c
c 0 c c c
c 0 0 c 0
dmin: 2
Weight Enumerator: 1x0 + 0x1 + 2x2 + 6x3 + 5x4 + 2x5
Complete Weight Enumerator: (X_0)5 + (X_0)3 (X_c)2 + (X_0)2 (X_c)3 + (X_0)2 (X_c)3 + (X_0)2 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)1 + (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)1 + (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_c)3 + (X_0)2 (X_c)3 + (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
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-207
a a a 0 0
b b b 0 0
0 c 0 c c
0 0 c c 0
Codewords:
0 0 0 0 0
0 0 c c 0
0 c 0 c c
0 c c 0 c
b b b 0 0
b b a c 0
b a b c c
b a a 0 c
a a a 0 0
a a b c 0
a b a c c
a b b 0 c
c c c 0 0
c c 0 c 0
c 0 c c c
c 0 0 0 c
dmin: 2
Weight Enumerator: 1x0 + 0x1 + 2x2 + 6x3 + 5x4 + 2x5
Complete Weight Enumerator: (X_0)5 + (X_0)3 (X_c)2 + (X_0)2 (X_c)3 + (X_0)2 (X_c)3 + (X_0)2 (X_b)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)1 + (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)1 + (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_c)3 + (X_0)2 (X_c)3 + (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
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-208
a a a 0 0
b b b 0 0
0 c 0 c c
0 0 c c c
Codewords:
0 0 0 0 0
0 0 c c c
0 c 0 c c
0 c c 0 0
b b b 0 0
b b a c c
b a b c c
b a a 0 0
a a a 0 0
a a b c c
a b a c c
a b b 0 0
c c c 0 0
c c 0 c c
c 0 c c c
c 0 0 0 0
dmin: 1
Weight Enumerator: 1x0 + 1x1 + 1x2 + 7x3 + 2x4 + 4x5
Complete Weight Enumerator: (X_0)5 + (X_0)2 (X_c)3 + (X_0)2 (X_c)3 + (X_0)3 (X_c)2 + (X_0)2 (X_b)3 + (X_a)1 (X_b)2 (X_c)2 + (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 + (X_0)2 (X_a)3 + (X_a)2 (X_b)1 (X_c)2 + (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 + (X_0)2 (X_c)3 + (X_0)1 (X_c)4 + (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
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-209
a a a 0 a
b b b 0 b
0 c 0 0 0
0 0 c 0 0
Codewords:
0 0 0 0 0
0 0 c 0 0
0 c 0 0 0
0 c c 0 0
b b b 0 b
b b a 0 b
b a b 0 b
b a a 0 b
a a a 0 a
a a b 0 a
a b a 0 a
a b b 0 a
c c c 0 c
c c 0 0 c
c 0 c 0 c
c 0 0 0 c
dmin: 1
Weight Enumerator: 1x0 + 2x1 + 2x2 + 2x3 + 9x4 + 0x5
Complete Weight Enumerator: (X_0)5 + (X_0)4 (X_c)1 + (X_0)4 (X_c)1 + (X_0)3 (X_c)2 + (X_0)1 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 + (X_0)1 (X_a)1 (X_b)3 + (X_0)1 (X_a)2 (X_b)2 + (X_0)1 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 + (X_0)1 (X_a)3 (X_b)1 + (X_0)1 (X_a)2 (X_b)2 + (X_0)1 (X_c)4 + (X_0)2 (X_c)3 + (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
Is it a nice code?: No
Generator Matrix-210
a a a 0 a
b b b 0 b
0 c 0 0 0
0 0 c 0 c
Codewords:
0 0 0 0 0
0 0 c 0 c
0 c 0 0 0
0 c c 0 c
b b b 0 b
b b a 0 a
b a b 0 b
b a a 0 a
a a a 0 a
a a b 0 b
a b a 0 a
a b b 0 b
c c c 0 c
c c 0 0 0
c 0 c 0 c
c 0 0 0 0
dmin: 1
Weight Enumerator: 1x0 + 2x1 + 2x2 + 2x3 + 9x4 + 0x5
Complete Weight Enumerator: (X_0)5 + (X_0)3 (X_c)2 + (X_0)4 (X_c)1 + (X_0)2 (X_c)3 + (X_0)1 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 + (X_0)1 (X_a)1 (X_b)3 + (X_0)1 (X_a)3 (X_b)1 + (X_0)1 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 + (X_0)1 (X_a)3 (X_b)1 + (X_0)1 (X_a)1 (X_b)3 + (X_0)1 (X_c)4 + (X_0)3 (X_c)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
Is it a nice code?: No
Generator Matrix-211
a a a 0 a
b b b 0 b
0 c 0 0 0
0 0 c c 0
Codewords:
0 0 0 0 0
0 0 c c 0
0 c 0 0 0
0 c c c 0
b b b 0 b
b b a c b
b a b 0 b
b a a c b
a a a 0 a
a a b c a
a b a 0 a
a b b c a
c c c 0 c
c c 0 c c
c 0 c 0 c
c 0 0 c c
dmin: 1
Weight Enumerator: 1x0 + 1x1 + 1x2 + 3x3 + 6x4 + 4x5
Complete Weight Enumerator: (X_0)5 + (X_0)3 (X_c)2 + (X_0)4 (X_c)1 + (X_0)2 (X_c)3 + (X_0)1 (X_b)4 + (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 + (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)4 + (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 + (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_c)4 + (X_0)1 (X_c)4 + (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
Is it a nice code?: No
Generator Matrix-212
a a a 0 a
b b b 0 b
0 c 0 0 0
0 0 c c c
Codewords:
0 0 0 0 0
0 0 c c c
0 c 0 0 0
0 c c c c
b b b 0 b
b b a c a
b a b 0 b
b a a c a
a a a 0 a
a a b c b
a b a 0 a
a b b c b
c c c 0 c
c c 0 c 0
c 0 c 0 c
c 0 0 c 0
dmin: 1
Weight Enumerator: 1x0 + 1x1 + 1x2 + 3x3 + 6x4 + 4x5
Complete Weight Enumerator: (X_0)5 + (X_0)2 (X_c)3 + (X_0)4 (X_c)1 + (X_0)1 (X_c)4 + (X_0)1 (X_b)4 + (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 + (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)4 + (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 + (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_c)4 + (X_0)2 (X_c)3 + (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
Is it a nice code?: No
Generator Matrix-213
a a a 0 a
b b b 0 b
0 c 0 0 c
0 0 c 0 0
Codewords:
0 0 0 0 0
0 0 c 0 0
0 c 0 0 c
0 c c 0 c
b b b 0 b
b b a 0 b
b a b 0 a
b a a 0 a
a a a 0 a
a a b 0 a
a b a 0 b
a b b 0 b
c c c 0 c
c c 0 0 c
c 0 c 0 0
c 0 0 0 0
dmin: 1
Weight Enumerator: 1x0 + 2x1 + 2x2 + 2x3 + 9x4 + 0x5
Complete Weight Enumerator: (X_0)5 + (X_0)4 (X_c)1 + (X_0)3 (X_c)2 + (X_0)2 (X_c)3 + (X_0)1 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 + (X_0)1 (X_a)2 (X_b)2 + (X_0)1 (X_a)3 (X_b)1 + (X_0)1 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 + (X_0)1 (X_a)2 (X_b)2 + (X_0)1 (X_a)1 (X_b)3 + (X_0)1 (X_c)4 + (X_0)2 (X_c)3 + (X_0)3 (X_c)2 + (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-214
a a a 0 a
b b b 0 b
0 c 0 0 c
0 0 c 0 c
Codewords:
0 0 0 0 0
0 0 c 0 c
0 c 0 0 c
0 c c 0 0
b b b 0 b
b b a 0 a
b a b 0 a
b a a 0 b
a a a 0 a
a a b 0 b
a b a 0 b
a b b 0 a
c c c 0 c
c c 0 0 0
c 0 c 0 0
c 0 0 0 c
dmin: 2
Weight Enumerator: 1x0 + 0x1 + 6x2 + 0x3 + 9x4 + 0x5
Complete Weight Enumerator: (X_0)5 + (X_0)3 (X_c)2 + (X_0)3 (X_c)2 + (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)2 (X_b)2 + (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_a)2 (X_b)2 + (X_0)1 (X_a)2 (X_b)2 + (X_0)1 (X_c)4 + (X_0)3 (X_c)2 + (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
Is it a nice code?: No
Generator Matrix-215
a a a 0 a
b b b 0 b
0 c 0 0 c
0 0 c c 0
Codewords:
0 0 0 0 0
0 0 c c 0
0 c 0 0 c
0 c c c c
b b b 0 b
b b a c b
b a b 0 a
b a a c a
a a a 0 a
a a b c a
a b a 0 b
a b b c b
c c c 0 c
c c 0 c c
c 0 c 0 0
c 0 0 c 0
dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 0x3 + 7x4 + 4x5
Complete Weight Enumerator: (X_0)5 + (X_0)3 (X_c)2 + (X_0)3 (X_c)2 + (X_0)1 (X_c)4 + (X_0)1 (X_b)4 + (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 + (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)4 + (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 + (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_c)4 + (X_0)1 (X_c)4 + (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
Is it a nice code?: No
Generator Matrix-216
a a a 0 a
b b b 0 b
0 c 0 0 c
0 0 c c c
Codewords:
0 0 0 0 0
0 0 c c c
0 c 0 0 c
0 c c c 0
b b b 0 b
b b a c a
b a b 0 a
b a a c b
a a a 0 a
a a b c b
a b a 0 b
a b b c a
c c c 0 c
c c 0 c 0
c 0 c 0 0
c 0 0 c c
dmin: 2
Weight Enumerator: 1x0 + 0x1 + 2x2 + 4x3 + 5x4 + 4x5
Complete Weight Enumerator: (X_0)5 + (X_0)2 (X_c)3 + (X_0)3 (X_c)2 + (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)2 (X_b)2 + (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_a)2 (X_b)2 + (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_c)4 + (X_0)2 (X_c)3 + (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
Is it a nice code?: No
Generator Matrix-217
a a a 0 a
b b b 0 b
0 c 0 c 0
0 0 c 0 0
Codewords:
0 0 0 0 0
0 0 c 0 0
0 c 0 c 0
0 c c c 0
b b b 0 b
b b a 0 b
b a b c b
b a a c b
a a a 0 a
a a b 0 a
a b a c a
a b b c a
c c c 0 c
c c 0 0 c
c 0 c c c
c 0 0 c c
dmin: 1
Weight Enumerator: 1x0 + 1x1 + 1x2 + 3x3 + 6x4 + 4x5
Complete Weight Enumerator: (X_0)5 + (X_0)4 (X_c)1 + (X_0)3 (X_c)2 + (X_0)2 (X_c)3 + (X_0)1 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 + (X_a)1 (X_b)3 (X_c)1 + (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 + (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_c)4 + (X_0)2 (X_c)3 + (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-218
a a a 0 a
b b b 0 b
0 c 0 c 0
0 0 c 0 c
Codewords:
0 0 0 0 0
0 0 c 0 c
0 c 0 c 0
0 c c c c
b b b 0 b
b b a 0 a
b a b c b
b a a c a
a a a 0 a
a a b 0 b
a b a c a
a b b c b
c c c 0 c
c c 0 0 0
c 0 c c c
c 0 0 c 0
dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 0x3 + 7x4 + 4x5
Complete Weight Enumerator: (X_0)5 + (X_0)3 (X_c)2 + (X_0)3 (X_c)2 + (X_0)1 (X_c)4 + (X_0)1 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 + (X_a)1 (X_b)3 (X_c)1 + (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 + (X_a)3 (X_b)1 (X_c)1 + (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_c)4 + (X_0)3 (X_c)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-219
a a a 0 a
b b b 0 b
0 c 0 c 0
0 0 c c 0
Codewords:
0 0 0 0 0
0 0 c c 0
0 c 0 c 0
0 c c 0 0
b b b 0 b
b b a c b
b a b c b
b a a 0 b
a a a 0 a
a a b c a
a b a c a
a b b 0 a
c c c 0 c
c c 0 c c
c 0 c c c
c 0 0 0 c
dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 0x3 + 7x4 + 4x5
Complete Weight Enumerator: (X_0)5 + (X_0)3 (X_c)2 + (X_0)3 (X_c)2 + (X_0)3 (X_c)2 + (X_0)1 (X_b)4 + (X_a)1 (X_b)3 (X_c)1 + (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 + (X_0)1 (X_a)4 + (X_a)3 (X_b)1 (X_c)1 + (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 + (X_0)1 (X_c)4 + (X_0)1 (X_c)4 + (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-220
a a a 0 a
b b b 0 b
0 c 0 c 0
0 0 c c c
Codewords:
0 0 0 0 0
0 0 c c c
0 c 0 c 0
0 c c 0 c
b b b 0 b
b b a c a
b a b c b
b a a 0 a
a a a 0 a
a a b c b
a b a c a
a b b 0 b
c c c 0 c
c c 0 c 0
c 0 c c c
c 0 0 0 0
dmin: 1
Weight Enumerator: 1x0 + 1x1 + 1x2 + 3x3 + 6x4 + 4x5
Complete Weight Enumerator: (X_0)5 + (X_0)2 (X_c)3 + (X_0)3 (X_c)2 + (X_0)2 (X_c)3 + (X_0)1 (X_b)4 + (X_a)2 (X_b)2 (X_c)1 + (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 + (X_0)1 (X_a)4 + (X_a)2 (X_b)2 (X_c)1 + (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 + (X_0)1 (X_c)4 + (X_0)2 (X_c)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-221
a a a 0 a
b b b 0 b
0 c 0 c c
0 0 c 0 0
Codewords:
0 0 0 0 0
0 0 c 0 0
0 c 0 c c
0 c c c c
b b b 0 b
b b a 0 b
b a b c a
b a a c a
a a a 0 a
a a b 0 a
a b a c b
a b b c b
c c c 0 c
c c 0 0 c
c 0 c c 0
c 0 0 c 0
dmin: 1
Weight Enumerator: 1x0 + 1x1 + 1x2 + 3x3 + 6x4 + 4x5
Complete Weight Enumerator: (X_0)5 + (X_0)4 (X_c)1 + (X_0)2 (X_c)3 + (X_0)1 (X_c)4 + (X_0)1 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 + (X_a)2 (X_b)2 (X_c)1 + (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 + (X_a)2 (X_b)2 (X_c)1 + (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_c)4 + (X_0)2 (X_c)3 + (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
Is it a nice code?: No
Generator Matrix-222
a a a 0 a
b b b 0 b
0 c 0 c c
0 0 c 0 c
Codewords:
0 0 0 0 0
0 0 c 0 c
0 c 0 c c
0 c c c 0
b b b 0 b
b b a 0 a
b a b c a
b a a c b
a a a 0 a
a a b 0 b
a b a c b
a b b c a
c c c 0 c
c c 0 0 0
c 0 c c 0
c 0 0 c c
dmin: 2
Weight Enumerator: 1x0 + 0x1 + 2x2 + 4x3 + 5x4 + 4x5
Complete Weight Enumerator: (X_0)5 + (X_0)3 (X_c)2 + (X_0)2 (X_c)3 + (X_0)2 (X_c)3 + (X_0)1 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 + (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 + (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_c)4 + (X_0)3 (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
Is it a nice code?: No
Generator Matrix-223
a a a 0 a
b b b 0 b
0 c 0 c c
0 0 c c 0
Codewords:
0 0 0 0 0
0 0 c c 0
0 c 0 c c
0 c c 0 c
b b b 0 b
b b a c b
b a b c a
b a a 0 a
a a a 0 a
a a b c a
a b a c b
a b b 0 b
c c c 0 c
c c 0 c c
c 0 c c 0
c 0 0 0 0
dmin: 1
Weight Enumerator: 1x0 + 1x1 + 1x2 + 3x3 + 6x4 + 4x5
Complete Weight Enumerator: (X_0)5 + (X_0)3 (X_c)2 + (X_0)2 (X_c)3 + (X_0)2 (X_c)3 + (X_0)1 (X_b)4 + (X_a)1 (X_b)3 (X_c)1 + (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 + (X_0)1 (X_a)4 + (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 + (X_0)1 (X_c)4 + (X_0)1 (X_c)4 + (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
Is it a nice code?: No
Generator Matrix-224
a a a 0 a
b b b 0 b
0 c 0 c c
0 0 c c c
Codewords:
0 0 0 0 0
0 0 c c c
0 c 0 c c
0 c c 0 0
b b b 0 b
b b a c a
b a b c a
b a a 0 b
a a a 0 a
a a b c b
a b a c b
a b b 0 a
c c c 0 c
c c 0 c 0
c 0 c c 0
c 0 0 0 c
dmin: 2
Weight Enumerator: 1x0 + 0x1 + 2x2 + 4x3 + 5x4 + 4x5
Complete Weight Enumerator: (X_0)5 + (X_0)2 (X_c)3 + (X_0)2 (X_c)3 + (X_0)3 (X_c)2 + (X_0)1 (X_b)4 + (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 + (X_0)1 (X_a)4 + (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 + (X_0)1 (X_c)4 + (X_0)2 (X_c)3 + (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
Is it a nice code?: No
Generator Matrix-225
a a a a 0
b b b b 0
0 c 0 0 0
0 0 c 0 0
Codewords:
0 0 0 0 0
0 0 c 0 0
0 c 0 0 0
0 c c 0 0
b b b b 0
b b a b 0
b a b b 0
b a a b 0
a a a a 0
a a b a 0
a b a a 0
a b b a 0
c c c c 0
c c 0 c 0
c 0 c c 0
c 0 0 c 0
dmin: 1
Weight Enumerator: 1x0 + 2x1 + 2x2 + 2x3 + 9x4 + 0x5
Complete Weight Enumerator: (X_0)5 + (X_0)4 (X_c)1 + (X_0)4 (X_c)1 + (X_0)3 (X_c)2 + (X_0)1 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 + (X_0)1 (X_a)1 (X_b)3 + (X_0)1 (X_a)2 (X_b)2 + (X_0)1 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 + (X_0)1 (X_a)3 (X_b)1 + (X_0)1 (X_a)2 (X_b)2 + (X_0)1 (X_c)4 + (X_0)2 (X_c)3 + (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
Is it a nice code?: No
Generator Matrix-226
a a a a 0
b b b b 0
0 c 0 0 0
0 0 c 0 c
Codewords:
0 0 0 0 0
0 0 c 0 c
0 c 0 0 0
0 c c 0 c
b b b b 0
b b a b c
b a b b 0
b a a b c
a a a a 0
a a b a c
a b a a 0
a b b a c
c c c c 0
c c 0 c c
c 0 c c 0
c 0 0 c c
dmin: 1
Weight Enumerator: 1x0 + 1x1 + 1x2 + 3x3 + 6x4 + 4x5
Complete Weight Enumerator: (X_0)5 + (X_0)3 (X_c)2 + (X_0)4 (X_c)1 + (X_0)2 (X_c)3 + (X_0)1 (X_b)4 + (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 + (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)4 + (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 + (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_c)4 + (X_0)1 (X_c)4 + (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
Is it a nice code?: No
Generator Matrix-227
a a a a 0
b b b b 0
0 c 0 0 0
0 0 c c 0
Codewords:
0 0 0 0 0
0 0 c c 0
0 c 0 0 0
0 c c c 0
b b b b 0
b b a a 0
b a b b 0
b a a a 0
a a a a 0
a a b b 0
a b a a 0
a b b b 0
c c c c 0
c c 0 0 0
c 0 c c 0
c 0 0 0 0
dmin: 1
Weight Enumerator: 1x0 + 2x1 + 2x2 + 2x3 + 9x4 + 0x5
Complete Weight Enumerator: (X_0)5 + (X_0)3 (X_c)2 + (X_0)4 (X_c)1 + (X_0)2 (X_c)3 + (X_0)1 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 + (X_0)1 (X_a)1 (X_b)3 + (X_0)1 (X_a)3 (X_b)1 + (X_0)1 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 + (X_0)1 (X_a)3 (X_b)1 + (X_0)1 (X_a)1 (X_b)3 + (X_0)1 (X_c)4 + (X_0)3 (X_c)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
Is it a nice code?: No
Generator Matrix-228
a a a a 0
b b b b 0
0 c 0 0 0
0 0 c c c
Codewords:
0 0 0 0 0
0 0 c c c
0 c 0 0 0
0 c c c c
b b b b 0
b b a a c
b a b b 0
b a a a c
a a a a 0
a a b b c
a b a a 0
a b b b c
c c c c 0
c c 0 0 c
c 0 c c 0
c 0 0 0 c
dmin: 1
Weight Enumerator: 1x0 + 1x1 + 1x2 + 3x3 + 6x4 + 4x5
Complete Weight Enumerator: (X_0)5 + (X_0)2 (X_c)3 + (X_0)4 (X_c)1 + (X_0)1 (X_c)4 + (X_0)1 (X_b)4 + (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 + (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)4 + (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 + (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_c)4 + (X_0)2 (X_c)3 + (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
Is it a nice code?: No
Generator Matrix-229
a a a a 0
b b b b 0
0 c 0 0 c
0 0 c 0 0
Codewords:
0 0 0 0 0
0 0 c 0 0
0 c 0 0 c
0 c c 0 c
b b b b 0
b b a b 0
b a b b c
b a a b c
a a a a 0
a a b a 0
a b a a c
a b b a c
c c c c 0
c c 0 c 0
c 0 c c c
c 0 0 c c
dmin: 1
Weight Enumerator: 1x0 + 1x1 + 1x2 + 3x3 + 6x4 + 4x5
Complete Weight Enumerator: (X_0)5 + (X_0)4 (X_c)1 + (X_0)3 (X_c)2 + (X_0)2 (X_c)3 + (X_0)1 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 + (X_a)1 (X_b)3 (X_c)1 + (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 + (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_c)4 + (X_0)2 (X_c)3 + (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-230
a a a a 0
b b b b 0
0 c 0 0 c
0 0 c 0 c
Codewords:
0 0 0 0 0
0 0 c 0 c
0 c 0 0 c
0 c c 0 0
b b b b 0
b b a b c
b a b b c
b a a b 0
a a a a 0
a a b a c
a b a a c
a b b a 0
c c c c 0
c c 0 c c
c 0 c c c
c 0 0 c 0
dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 0x3 + 7x4 + 4x5
Complete Weight Enumerator: (X_0)5 + (X_0)3 (X_c)2 + (X_0)3 (X_c)2 + (X_0)3 (X_c)2 + (X_0)1 (X_b)4 + (X_a)1 (X_b)3 (X_c)1 + (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 + (X_0)1 (X_a)4 + (X_a)3 (X_b)1 (X_c)1 + (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 + (X_0)1 (X_c)4 + (X_0)1 (X_c)4 + (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-231
a a a a 0
b b b b 0
0 c 0 0 c
0 0 c c 0
Codewords:
0 0 0 0 0
0 0 c c 0
0 c 0 0 c
0 c c c c
b b b b 0
b b a a 0
b a b b c
b a a a c
a a a a 0
a a b b 0
a b a a c
a b b b c
c c c c 0
c c 0 0 0
c 0 c c c
c 0 0 0 c
dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 0x3 + 7x4 + 4x5
Complete Weight Enumerator: (X_0)5 + (X_0)3 (X_c)2 + (X_0)3 (X_c)2 + (X_0)1 (X_c)4 + (X_0)1 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 + (X_a)1 (X_b)3 (X_c)1 + (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 + (X_a)3 (X_b)1 (X_c)1 + (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_c)4 + (X_0)3 (X_c)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-232
a a a a 0
b b b b 0
0 c 0 0 c
0 0 c c c
Codewords:
0 0 0 0 0
0 0 c c c
0 c 0 0 c
0 c c c 0
b b b b 0
b b a a c
b a b b c
b a a a 0
a a a a 0
a a b b c
a b a a c
a b b b 0
c c c c 0
c c 0 0 c
c 0 c c c
c 0 0 0 0
dmin: 1
Weight Enumerator: 1x0 + 1x1 + 1x2 + 3x3 + 6x4 + 4x5
Complete Weight Enumerator: (X_0)5 + (X_0)2 (X_c)3 + (X_0)3 (X_c)2 + (X_0)2 (X_c)3 + (X_0)1 (X_b)4 + (X_a)2 (X_b)2 (X_c)1 + (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 + (X_0)1 (X_a)4 + (X_a)2 (X_b)2 (X_c)1 + (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 + (X_0)1 (X_c)4 + (X_0)2 (X_c)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-233
a a a a 0
b b b b 0
0 c 0 c 0
0 0 c 0 0
Codewords:
0 0 0 0 0
0 0 c 0 0
0 c 0 c 0
0 c c c 0
b b b b 0
b b a b 0
b a b a 0
b a a a 0
a a a a 0
a a b a 0
a b a b 0
a b b b 0
c c c c 0
c c 0 c 0
c 0 c 0 0
c 0 0 0 0
dmin: 1
Weight Enumerator: 1x0 + 2x1 + 2x2 + 2x3 + 9x4 + 0x5
Complete Weight Enumerator: (X_0)5 + (X_0)4 (X_c)1 + (X_0)3 (X_c)2 + (X_0)2 (X_c)3 + (X_0)1 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 + (X_0)1 (X_a)2 (X_b)2 + (X_0)1 (X_a)3 (X_b)1 + (X_0)1 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 + (X_0)1 (X_a)2 (X_b)2 + (X_0)1 (X_a)1 (X_b)3 + (X_0)1 (X_c)4 + (X_0)2 (X_c)3 + (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
Is it a nice code?: No
Generator Matrix-234
a a a a 0
b b b b 0
0 c 0 c 0
0 0 c 0 c
Codewords:
0 0 0 0 0
0 0 c 0 c
0 c 0 c 0
0 c c c c
b b b b 0
b b a b c
b a b a 0
b a a a c
a a a a 0
a a b a c
a b a b 0
a b b b c
c c c c 0
c c 0 c c
c 0 c 0 0
c 0 0 0 c
dmin: 2
Weight Enumerator: 1x0 + 0x1 + 4x2 + 0x3 + 7x4 + 4x5
Complete Weight Enumerator: (X_0)5 + (X_0)3 (X_c)2 + (X_0)3 (X_c)2 + (X_0)1 (X_c)4 + (X_0)1 (X_b)4 + (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 + (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)4 + (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 + (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_c)4 + (X_0)1 (X_c)4 + (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
Is it a nice code?: No
Generator Matrix-235
a a a a 0
b b b b 0
0 c 0 c 0
0 0 c c 0
Codewords:
0 0 0 0 0
0 0 c c 0
0 c 0 c 0
0 c c 0 0
b b b b 0
b b a a 0
b a b a 0
b a a b 0
a a a a 0
a a b b 0
a b a b 0
a b b a 0
c c c c 0
c c 0 0 0
c 0 c 0 0
c 0 0 c 0
dmin: 2
Weight Enumerator: 1x0 + 0x1 + 6x2 + 0x3 + 9x4 + 0x5
Complete Weight Enumerator: (X_0)5 + (X_0)3 (X_c)2 + (X_0)3 (X_c)2 + (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)2 (X_b)2 + (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_a)2 (X_b)2 + (X_0)1 (X_a)2 (X_b)2 + (X_0)1 (X_c)4 + (X_0)3 (X_c)2 + (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
Is it a nice code?: No
Generator Matrix-236
a a a a 0
b b b b 0
0 c 0 c 0
0 0 c c c
Codewords:
0 0 0 0 0
0 0 c c c
0 c 0 c 0
0 c c 0 c
b b b b 0
b b a a c
b a b a 0
b a a b c
a a a a 0
a a b b c
a b a b 0
a b b a c
c c c c 0
c c 0 0 c
c 0 c 0 0
c 0 0 c c
dmin: 2
Weight Enumerator: 1x0 + 0x1 + 2x2 + 4x3 + 5x4 + 4x5
Complete Weight Enumerator: (X_0)5 + (X_0)2 (X_c)3 + (X_0)3 (X_c)2 + (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)2 (X_b)2 + (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_a)2 (X_b)2 + (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_c)4 + (X_0)2 (X_c)3 + (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
Is it a nice code?: No
Generator Matrix-237
a a a a 0
b b b b 0
0 c 0 c c
0 0 c 0 0
Codewords:
0 0 0 0 0
0 0 c 0 0
0 c 0 c c
0 c c c c
b b b b 0
b b a b 0
b a b a c
b a a a c
a a a a 0
a a b a 0
a b a b c
a b b b c
c c c c 0
c c 0 c 0
c 0 c 0 c
c 0 0 0 c
dmin: 1
Weight Enumerator: 1x0 + 1x1 + 1x2 + 3x3 + 6x4 + 4x5
Complete Weight Enumerator: (X_0)5 + (X_0)4 (X_c)1 + (X_0)2 (X_c)3 + (X_0)1 (X_c)4 + (X_0)1 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 + (X_a)2 (X_b)2 (X_c)1 + (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 + (X_a)2 (X_b)2 (X_c)1 + (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_c)4 + (X_0)2 (X_c)3 + (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
Is it a nice code?: No
Generator Matrix-238
a a a a 0
b b b b 0
0 c 0 c c
0 0 c 0 c
Codewords:
0 0 0 0 0
0 0 c 0 c
0 c 0 c c
0 c c c 0
b b b b 0
b b a b c
b a b a c
b a a a 0
a a a a 0
a a b a c
a b a b c
a b b b 0
c c c c 0
c c 0 c c
c 0 c 0 c
c 0 0 0 0
dmin: 1
Weight Enumerator: 1x0 + 1x1 + 1x2 + 3x3 + 6x4 + 4x5
Complete Weight Enumerator: (X_0)5 + (X_0)3 (X_c)2 + (X_0)2 (X_c)3 + (X_0)2 (X_c)3 + (X_0)1 (X_b)4 + (X_a)1 (X_b)3 (X_c)1 + (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 + (X_0)1 (X_a)4 + (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 + (X_0)1 (X_c)4 + (X_0)1 (X_c)4 + (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
Is it a nice code?: No
Generator Matrix-239
a a a a 0
b b b b 0
0 c 0 c c
0 0 c c 0
Codewords:
0 0 0 0 0
0 0 c c 0
0 c 0 c c
0 c c 0 c
b b b b 0
b b a a 0
b a b a c
b a a b c
a a a a 0
a a b b 0
a b a b c
a b b a c
c c c c 0
c c 0 0 0
c 0 c 0 c
c 0 0 c c
dmin: 2
Weight Enumerator: 1x0 + 0x1 + 2x2 + 4x3 + 5x4 + 4x5
Complete Weight Enumerator: (X_0)5 + (X_0)3 (X_c)2 + (X_0)2 (X_c)3 + (X_0)2 (X_c)3 + (X_0)1 (X_b)4 + (X_0)1 (X_a)2 (X_b)2 + (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)4 + (X_0)1 (X_a)2 (X_b)2 + (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_c)4 + (X_0)3 (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
Is it a nice code?: No
Generator Matrix-240
a a a a 0
b b b b 0
0 c 0 c c
0 0 c c c
Codewords:
0 0 0 0 0
0 0 c c c
0 c 0 c c
0 c c 0 0
b b b b 0
b b a a c
b a b a c
b a a b 0
a a a a 0
a a b b c
a b a b c
a b b a 0
c c c c 0
c c 0 0 c
c 0 c 0 c
c 0 0 c 0
dmin: 2
Weight Enumerator: 1x0 + 0x1 + 2x2 + 4x3 + 5x4 + 4x5
Complete Weight Enumerator: (X_0)5 + (X_0)2 (X_c)3 + (X_0)2 (X_c)3 + (X_0)3 (X_c)2 + (X_0)1 (X_b)4 + (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 + (X_0)1 (X_a)4 + (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 + (X_0)1 (X_c)4 + (X_0)2 (X_c)3 + (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
Is it a nice code?: No
Generator Matrix-241
a a a a a
b b b b b
0 c 0 0 0
0 0 c 0 0
Codewords:
0 0 0 0 0
0 0 c 0 0
0 c 0 0 0
0 c c 0 0
b b b b b
b b a b b
b a b b b
b a a b b
a a a a a
a a b a a
a b a a a
a b b a a
c c c c c
c c 0 c c
c 0 c c c
c 0 0 c c
dmin: 1
Weight Enumerator: 1x0 + 2x1 + 1x2 + 1x3 + 2x4 + 9x5
Complete Weight Enumerator: (X_0)5 + (X_0)4 (X_c)1 + (X_0)4 (X_c)1 + (X_0)3 (X_c)2 + (X_b)5 + (X_a)1 (X_b)4 + (X_a)1 (X_b)4 + (X_a)2 (X_b)3 + (X_a)5 + (X_a)4 (X_b)1 + (X_a)4 (X_b)1 + (X_a)3 (X_b)2 + (X_c)5 + (X_0)1 (X_c)4 + (X_0)1 (X_c)4 + (X_0)2 (X_c)3
Dual Codewords:
0 0 0 0 0
Is it a nice code?: No
Generator Matrix-242
a a a a a
b b b b b
0 c 0 0 0
0 0 c 0 c
Codewords:
0 0 0 0 0
0 0 c 0 c
0 c 0 0 0
0 c c 0 c
b b b b b
b b a b a
b a b b b
b a a b a
a a a a a
a a b a b
a b a a a
a b b a b
c c c c c
c c 0 c 0
c 0 c c c
c 0 0 c 0
dmin: 1
Weight Enumerator: 1x0 + 1x1 + 2x2 + 2x3 + 1x4 + 9x5
Complete Weight Enumerator: (X_0)5 + (X_0)3 (X_c)2 + (X_0)4 (X_c)1 + (X_0)2 (X_c)3 + (X_b)5 + (X_a)2 (X_b)3 + (X_a)1 (X_b)4 + (X_a)3 (X_b)2 + (X_a)5 + (X_a)3 (X_b)2 + (X_a)4 (X_b)1 + (X_a)2 (X_b)3 + (X_c)5 + (X_0)2 (X_c)3 + (X_0)1 (X_c)4 + (X_0)3 (X_c)2
Dual Codewords:
0 0 0 0 0
Is it a nice code?: No
Generator Matrix-243
a a a a a
b b b b b
0 c 0 0 0
0 0 c c 0
Codewords:
0 0 0 0 0
0 0 c c 0
0 c 0 0 0
0 c c c 0
b b b b b
b b a a b
b a b b b
b a a a b
a a a a a
a a b b a
a b a a a
a b b b a
c c c c c
c c 0 0 c
c 0 c c c
c 0 0 0 c
dmin: 1
Weight Enumerator: 1x0 + 1x1 + 2x2 + 2x3 + 1x4 + 9x5
Complete Weight Enumerator: (X_0)5 + (X_0)3 (X_c)2 + (X_0)4 (X_c)1 + (X_0)2 (X_c)3 + (X_b)5 + (X_a)2 (X_b)3 + (X_a)1 (X_b)4 + (X_a)3 (X_b)2 + (X_a)5 + (X_a)3 (X_b)2 + (X_a)4 (X_b)1 + (X_a)2 (X_b)3 + (X_c)5 + (X_0)2 (X_c)3 + (X_0)1 (X_c)4 + (X_0)3 (X_c)2
Dual Codewords:
0 0 0 0 0
Is it a nice code?: No
Generator Matrix-244
a a a a a
b b b b b
0 c 0 0 0
0 0 c c c
Codewords:
0 0 0 0 0
0 0 c c c
0 c 0 0 0
0 c c c c
b b b b b
b b a a a
b a b b b
b a a a a
a a a a a
a a b b b
a b a a a
a b b b b
c c c c c
c c 0 0 0
c 0 c c c
c 0 0 0 0
dmin: 1
Weight Enumerator: 1x0 + 2x1 + 1x2 + 1x3 + 2x4 + 9x5
Complete Weight Enumerator: (X_0)5 + (X_0)2 (X_c)3 + (X_0)4 (X_c)1 + (X_0)1 (X_c)4 + (X_b)5 + (X_a)3 (X_b)2 + (X_a)1 (X_b)4 + (X_a)4 (X_b)1 + (X_a)5 + (X_a)2 (X_b)3 + (X_a)4 (X_b)1 + (X_a)1 (X_b)4 + (X_c)5 + (X_0)3 (X_c)2 + (X_0)1 (X_c)4 + (X_0)4 (X_c)1
Dual Codewords:
0 0 0 0 0
Is it a nice code?: No
Generator Matrix-245
a a a a a
b b b b b
0 c 0 0 c
0 0 c 0 0
Codewords:
0 0 0 0 0
0 0 c 0 0
0 c 0 0 c
0 c c 0 c
b b b b b
b b a b b
b a b b a
b a a b a
a a a a a
a a b a a
a b a a b
a b b a b
c c c c c
c c 0 c c
c 0 c c 0
c 0 0 c 0
dmin: 1
Weight Enumerator: 1x0 + 1x1 + 2x2 + 2x3 + 1x4 + 9x5
Complete Weight Enumerator: (X_0)5 + (X_0)4 (X_c)1 + (X_0)3 (X_c)2 + (X_0)2 (X_c)3 + (X_b)5 + (X_a)1 (X_b)4 + (X_a)2 (X_b)3 + (X_a)3 (X_b)2 + (X_a)5 + (X_a)4 (X_b)1 + (X_a)3 (X_b)2 + (X_a)2 (X_b)3 + (X_c)5 + (X_0)1 (X_c)4 + (X_0)2 (X_c)3 + (X_0)3 (X_c)2
Dual Codewords:
0 0 0 0 0
Is it a nice code?: No
Generator Matrix-246
a a a a a
b b b b b
0 c 0 0 c
0 0 c 0 c
Codewords:
0 0 0 0 0
0 0 c 0 c
0 c 0 0 c
0 c c 0 0
b b b b b
b b a b a
b a b b a
b a a b b
a a a a a
a a b a b
a b a a b
a b b a a
c c c c c
c c 0 c 0
c 0 c c 0
c 0 0 c c
dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 3x3 + 0x4 + 9x5
Complete Weight Enumerator: (X_0)5 + (X_0)3 (X_c)2 + (X_0)3 (X_c)2 + (X_0)3 (X_c)2 + (X_b)5 + (X_a)2 (X_b)3 + (X_a)2 (X_b)3 + (X_a)2 (X_b)3 + (X_a)5 + (X_a)3 (X_b)2 + (X_a)3 (X_b)2 + (X_a)3 (X_b)2 + (X_c)5 + (X_0)2 (X_c)3 + (X_0)2 (X_c)3 + (X_0)2 (X_c)3
Dual Codewords:
0 0 0 0 0
Is it a nice code?: No
Generator Matrix-247
a a a a a
b b b b b
0 c 0 0 c
0 0 c c 0
Codewords:
0 0 0 0 0
0 0 c c 0
0 c 0 0 c
0 c c c c
b b b b b
b b a a b
b a b b a
b a a a a
a a a a a
a a b b a
a b a a b
a b b b b
c c c c c
c c 0 0 c
c 0 c c 0
c 0 0 0 0
dmin: 1
Weight Enumerator: 1x0 + 1x1 + 2x2 + 2x3 + 1x4 + 9x5
Complete Weight Enumerator: (X_0)5 + (X_0)3 (X_c)2 + (X_0)3 (X_c)2 + (X_0)1 (X_c)4 + (X_b)5 + (X_a)2 (X_b)3 + (X_a)2 (X_b)3 + (X_a)4 (X_b)1 + (X_a)5 + (X_a)3 (X_b)2 + (X_a)3 (X_b)2 + (X_a)1 (X_b)4 + (X_c)5 + (X_0)2 (X_c)3 + (X_0)2 (X_c)3 + (X_0)4 (X_c)1
Dual Codewords:
0 0 0 0 0
Is it a nice code?: No
Generator Matrix-248
a a a a a
b b b b b
0 c 0 0 c
0 0 c c c
Codewords:
0 0 0 0 0
0 0 c c c
0 c 0 0 c
0 c c c 0
b b b b b
b b a a a
b a b b a
b a a a b
a a a a a
a a b b b
a b a a b
a b b b a
c c c c c
c c 0 0 0
c 0 c c 0
c 0 0 0 c
dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 3x3 + 0x4 + 9x5
Complete Weight Enumerator: (X_0)5 + (X_0)2 (X_c)3 + (X_0)3 (X_c)2 + (X_0)2 (X_c)3 + (X_b)5 + (X_a)3 (X_b)2 + (X_a)2 (X_b)3 + (X_a)3 (X_b)2 + (X_a)5 + (X_a)2 (X_b)3 + (X_a)3 (X_b)2 + (X_a)2 (X_b)3 + (X_c)5 + (X_0)3 (X_c)2 + (X_0)2 (X_c)3 + (X_0)3 (X_c)2
Dual Codewords:
0 0 0 0 0
Is it a nice code?: No
Generator Matrix-249
a a a a a
b b b b b
0 c 0 c 0
0 0 c 0 0
Codewords:
0 0 0 0 0
0 0 c 0 0
0 c 0 c 0
0 c c c 0
b b b b b
b b a b b
b a b a b
b a a a b
a a a a a
a a b a a
a b a b a
a b b b a
c c c c c
c c 0 c c
c 0 c 0 c
c 0 0 0 c
dmin: 1
Weight Enumerator: 1x0 + 1x1 + 2x2 + 2x3 + 1x4 + 9x5
Complete Weight Enumerator: (X_0)5 + (X_0)4 (X_c)1 + (X_0)3 (X_c)2 + (X_0)2 (X_c)3 + (X_b)5 + (X_a)1 (X_b)4 + (X_a)2 (X_b)3 + (X_a)3 (X_b)2 + (X_a)5 + (X_a)4 (X_b)1 + (X_a)3 (X_b)2 + (X_a)2 (X_b)3 + (X_c)5 + (X_0)1 (X_c)4 + (X_0)2 (X_c)3 + (X_0)3 (X_c)2
Dual Codewords:
0 0 0 0 0
Is it a nice code?: No
Generator Matrix-250
a a a a a
b b b b b
0 c 0 c 0
0 0 c 0 c
Codewords:
0 0 0 0 0
0 0 c 0 c
0 c 0 c 0
0 c c c c
b b b b b
b b a b a
b a b a b
b a a a a
a a a a a
a a b a b
a b a b a
a b b b b
c c c c c
c c 0 c 0
c 0 c 0 c
c 0 0 0 0
dmin: 1
Weight Enumerator: 1x0 + 1x1 + 2x2 + 2x3 + 1x4 + 9x5
Complete Weight Enumerator: (X_0)5 + (X_0)3 (X_c)2 + (X_0)3 (X_c)2 + (X_0)1 (X_c)4 + (X_b)5 + (X_a)2 (X_b)3 + (X_a)2 (X_b)3 + (X_a)4 (X_b)1 + (X_a)5 + (X_a)3 (X_b)2 + (X_a)3 (X_b)2 + (X_a)1 (X_b)4 + (X_c)5 + (X_0)2 (X_c)3 + (X_0)2 (X_c)3 + (X_0)4 (X_c)1
Dual Codewords:
0 0 0 0 0
Is it a nice code?: No
Generator Matrix-251
a a a a a
b b b b b
0 c 0 c 0
0 0 c c 0
Codewords:
0 0 0 0 0
0 0 c c 0
0 c 0 c 0
0 c c 0 0
b b b b b
b b a a b
b a b a b
b a a b b
a a a a a
a a b b a
a b a b a
a b b a a
c c c c c
c c 0 0 c
c 0 c 0 c
c 0 0 c c
dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 3x3 + 0x4 + 9x5
Complete Weight Enumerator: (X_0)5 + (X_0)3 (X_c)2 + (X_0)3 (X_c)2 + (X_0)3 (X_c)2 + (X_b)5 + (X_a)2 (X_b)3 + (X_a)2 (X_b)3 + (X_a)2 (X_b)3 + (X_a)5 + (X_a)3 (X_b)2 + (X_a)3 (X_b)2 + (X_a)3 (X_b)2 + (X_c)5 + (X_0)2 (X_c)3 + (X_0)2 (X_c)3 + (X_0)2 (X_c)3
Dual Codewords:
0 0 0 0 0
Is it a nice code?: No
Generator Matrix-252
a a a a a
b b b b b
0 c 0 c 0
0 0 c c c
Codewords:
0 0 0 0 0
0 0 c c c
0 c 0 c 0
0 c c 0 c
b b b b b
b b a a a
b a b a b
b a a b a
a a a a a
a a b b b
a b a b a
a b b a b
c c c c c
c c 0 0 0
c 0 c 0 c
c 0 0 c 0
dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 3x3 + 0x4 + 9x5
Complete Weight Enumerator: (X_0)5 + (X_0)2 (X_c)3 + (X_0)3 (X_c)2 + (X_0)2 (X_c)3 + (X_b)5 + (X_a)3 (X_b)2 + (X_a)2 (X_b)3 + (X_a)3 (X_b)2 + (X_a)5 + (X_a)2 (X_b)3 + (X_a)3 (X_b)2 + (X_a)2 (X_b)3 + (X_c)5 + (X_0)3 (X_c)2 + (X_0)2 (X_c)3 + (X_0)3 (X_c)2
Dual Codewords:
0 0 0 0 0
Is it a nice code?: No
Generator Matrix-253
a a a a a
b b b b b
0 c 0 c c
0 0 c 0 0
Codewords:
0 0 0 0 0
0 0 c 0 0
0 c 0 c c
0 c c c c
b b b b b
b b a b b
b a b a a
b a a a a
a a a a a
a a b a a
a b a b b
a b b b b
c c c c c
c c 0 c c
c 0 c 0 0
c 0 0 0 0
dmin: 1
Weight Enumerator: 1x0 + 2x1 + 1x2 + 1x3 + 2x4 + 9x5
Complete Weight Enumerator: (X_0)5 + (X_0)4 (X_c)1 + (X_0)2 (X_c)3 + (X_0)1 (X_c)4 + (X_b)5 + (X_a)1 (X_b)4 + (X_a)3 (X_b)2 + (X_a)4 (X_b)1 + (X_a)5 + (X_a)4 (X_b)1 + (X_a)2 (X_b)3 + (X_a)1 (X_b)4 + (X_c)5 + (X_0)1 (X_c)4 + (X_0)3 (X_c)2 + (X_0)4 (X_c)1
Dual Codewords:
0 0 0 0 0
Is it a nice code?: No
Generator Matrix-254
a a a a a
b b b b b
0 c 0 c c
0 0 c 0 c
Codewords:
0 0 0 0 0
0 0 c 0 c
0 c 0 c c
0 c c c 0
b b b b b
b b a b a
b a b a a
b a a a b
a a a a a
a a b a b
a b a b b
a b b b a
c c c c c
c c 0 c 0
c 0 c 0 0
c 0 0 0 c
dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 3x3 + 0x4 + 9x5
Complete Weight Enumerator: (X_0)5 + (X_0)3 (X_c)2 + (X_0)2 (X_c)3 + (X_0)2 (X_c)3 + (X_b)5 + (X_a)2 (X_b)3 + (X_a)3 (X_b)2 + (X_a)3 (X_b)2 + (X_a)5 + (X_a)3 (X_b)2 + (X_a)2 (X_b)3 + (X_a)2 (X_b)3 + (X_c)5 + (X_0)2 (X_c)3 + (X_0)3 (X_c)2 + (X_0)3 (X_c)2
Dual Codewords:
0 0 0 0 0
Is it a nice code?: No
Generator Matrix-255
a a a a a
b b b b b
0 c 0 c c
0 0 c c 0
Codewords:
0 0 0 0 0
0 0 c c 0
0 c 0 c c
0 c c 0 c
b b b b b
b b a a b
b a b a a
b a a b a
a a a a a
a a b b a
a b a b b
a b b a b
c c c c c
c c 0 0 c
c 0 c 0 0
c 0 0 c 0
dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 3x3 + 0x4 + 9x5
Complete Weight Enumerator: (X_0)5 + (X_0)3 (X_c)2 + (X_0)2 (X_c)3 + (X_0)2 (X_c)3 + (X_b)5 + (X_a)2 (X_b)3 + (X_a)3 (X_b)2 + (X_a)3 (X_b)2 + (X_a)5 + (X_a)3 (X_b)2 + (X_a)2 (X_b)3 + (X_a)2 (X_b)3 + (X_c)5 + (X_0)2 (X_c)3 + (X_0)3 (X_c)2 + (X_0)3 (X_c)2
Dual Codewords:
0 0 0 0 0
Is it a nice code?: No
Generator Matrix-256
a a a a a
b b b b b
0 c 0 c c
0 0 c c c
Codewords:
0 0 0 0 0
0 0 c c c
0 c 0 c c
0 c c 0 0
b b b b b
b b a a a
b a b a a
b a a b b
a a a a a
a a b b b
a b a b b
a b b a a
c c c c c
c c 0 0 0
c 0 c 0 0
c 0 0 c c
dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 3x3 + 0x4 + 9x5
Complete Weight Enumerator: (X_0)5 + (X_0)2 (X_c)3 + (X_0)2 (X_c)3 + (X_0)3 (X_c)2 + (X_b)5 + (X_a)3 (X_b)2 + (X_a)3 (X_b)2 + (X_a)2 (X_b)3 + (X_a)5 + (X_a)2 (X_b)3 + (X_a)2 (X_b)3 + (X_a)3 (X_b)2 + (X_c)5 + (X_0)3 (X_c)2 + (X_0)3 (X_c)2 + (X_0)2 (X_c)3
Dual Codewords:
0 0 0 0 0
Is it a nice code?: No