n=6, k0=1, k1=4
Optimal Minimum Distance: 2
Generator Matrices that generate Codes having Optimal Minimum Distance: 32, 48, 80, 128, 144, 192, 224, 240, 272, 320, 352, 368, 416, 432, 464, 512,
Total No. of Codes having Optimal Minimum Distance: 16
Generator Matrices that generate Nice Codes : 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400,
Total No. of Nice Codes: 160
Generator Matrix-1
a 0 0 0 0 0
b 0 0 0 0 0
0 c 0 0 0 0
0 0 c 0 0 0
0 0 0 c 0 0
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 0
0 0 0 c c 0
0 0 c 0 0 0
0 0 c 0 c 0
0 0 c c 0 0
0 0 c c c 0
0 c 0 0 0 0
0 c 0 0 c 0
0 c 0 c 0 0
0 c 0 c c 0
0 c c 0 0 0
0 c c 0 c 0
0 c c c 0 0
0 c c c c 0
b 0 0 0 0 0
b 0 0 0 c 0
b 0 0 c 0 0
b 0 0 c c 0
b 0 c 0 0 0
b 0 c 0 c 0
b 0 c c 0 0
b 0 c c c 0
b c 0 0 0 0
b c 0 0 c 0
b c 0 c 0 0
b c 0 c c 0
b c c 0 0 0
b c c 0 c 0
b c c c 0 0
b c c c c 0
a 0 0 0 0 0
a 0 0 0 c 0
a 0 0 c 0 0
a 0 0 c c 0
a 0 c 0 0 0
a 0 c 0 c 0
a 0 c c 0 0
a 0 c c c 0
a c 0 0 0 0
a c 0 0 c 0
a c 0 c 0 0
a c 0 c c 0
a c c 0 0 0
a c c 0 c 0
a c c c 0 0
a c c c c 0
c 0 0 0 0 0
c 0 0 0 c 0
c 0 0 c 0 0
c 0 0 c c 0
c 0 c 0 0 0
c 0 c 0 c 0
c 0 c c 0 0
c 0 c c c 0
c c 0 0 0 0
c c 0 0 c 0
c c 0 c 0 0
c c 0 c c 0
c c c 0 0 0
c c c 0 c 0
c c c c 0 0
c c c c c 0
dmin: 1
Weight Enumerator: 1x0 + 7x1 + 18x2 + 22x3 + 13x4 + 3x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)5 (X_b)1 + (X_0)4 (X_b)1 (X_c)1 + (X_0)4 (X_b)1 (X_c)1 + (X_0)3 (X_b)1 (X_c)2 + (X_0)4 (X_b)1 (X_c)1 + (X_0)3 (X_b)1 (X_c)2 + (X_0)3 (X_b)1 (X_c)2 + (X_0)2 (X_b)1 (X_c)3 + (X_0)4 (X_b)1 (X_c)1 + (X_0)3 (X_b)1 (X_c)2 + (X_0)3 (X_b)1 (X_c)2 + (X_0)2 (X_b)1 (X_c)3 + (X_0)3 (X_b)1 (X_c)2 + (X_0)2 (X_b)1 (X_c)3 + (X_0)2 (X_b)1 (X_c)3 + (X_0)1 (X_b)1 (X_c)4 + (X_0)5 (X_a)1 + (X_0)4 (X_a)1 (X_c)1 + (X_0)4 (X_a)1 (X_c)1 + (X_0)3 (X_a)1 (X_c)2 + (X_0)4 (X_a)1 (X_c)1 + (X_0)3 (X_a)1 (X_c)2 + (X_0)3 (X_a)1 (X_c)2 + (X_0)2 (X_a)1 (X_c)3 + (X_0)4 (X_a)1 (X_c)1 + (X_0)3 (X_a)1 (X_c)2 + (X_0)3 (X_a)1 (X_c)2 + (X_0)2 (X_a)1 (X_c)3 + (X_0)3 (X_a)1 (X_c)2 + (X_0)2 (X_a)1 (X_c)3 + (X_0)2 (X_a)1 (X_c)3 + (X_0)1 (X_a)1 (X_c)4 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 a a 0
0 0 0 a a a
0 0 0 a a b
0 0 0 a a c
0 0 0 a b 0
0 0 0 a b a
0 0 0 a b b
0 0 0 a b c
0 0 0 a c 0
0 0 0 a c a
0 0 0 a c b
0 0 0 a c c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 b a 0
0 0 0 b a a
0 0 0 b a b
0 0 0 b a c
0 0 0 b b 0
0 0 0 b b a
0 0 0 b b b
0 0 0 b b c
0 0 0 b c 0
0 0 0 b c a
0 0 0 b c b
0 0 0 b c c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c
0 0 0 c a 0
0 0 0 c a a
0 0 0 c a b
0 0 0 c a c
0 0 0 c b 0
0 0 0 c b a
0 0 0 c b b
0 0 0 c b c
0 0 0 c c 0
0 0 0 c c a
0 0 0 c c b
0 0 0 c c c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 a 0 a 0
0 0 a 0 a a
0 0 a 0 a b
0 0 a 0 a c
0 0 a 0 b 0
0 0 a 0 b a
0 0 a 0 b b
0 0 a 0 b c
0 0 a 0 c 0
0 0 a 0 c a
0 0 a 0 c b
0 0 a 0 c c
0 0 a a 0 0
0 0 a a 0 a
0 0 a a 0 b
0 0 a a 0 c
0 0 a a a 0
0 0 a a a a
0 0 a a a b
0 0 a a a c
0 0 a a b 0
0 0 a a b a
0 0 a a b b
0 0 a a b c
0 0 a a c 0
0 0 a a c a
0 0 a a c b
0 0 a a c c
0 0 a b 0 0
0 0 a b 0 a
0 0 a b 0 b
0 0 a b 0 c
0 0 a b a 0
0 0 a b a a
0 0 a b a b
0 0 a b a c
0 0 a b b 0
0 0 a b b a
0 0 a b b b
0 0 a b b c
0 0 a b c 0
0 0 a b c a
0 0 a b c b
0 0 a b c c
0 0 a c 0 0
0 0 a c 0 a
0 0 a c 0 b
0 0 a c 0 c
0 0 a c a 0
0 0 a c a a
0 0 a c a b
0 0 a c a c
0 0 a c b 0
0 0 a c b a
0 0 a c b b
0 0 a c b c
0 0 a c c 0
0 0 a c c a
0 0 a c c b
0 0 a c c c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 b 0 a 0
0 0 b 0 a a
0 0 b 0 a b
0 0 b 0 a c
0 0 b 0 b 0
0 0 b 0 b a
0 0 b 0 b b
0 0 b 0 b c
0 0 b 0 c 0
0 0 b 0 c a
0 0 b 0 c b
0 0 b 0 c c
0 0 b a 0 0
0 0 b a 0 a
0 0 b a 0 b
0 0 b a 0 c
0 0 b a a 0
0 0 b a a a
0 0 b a a b
0 0 b a a c
0 0 b a b 0
0 0 b a b a
0 0 b a b b
0 0 b a b c
0 0 b a c 0
0 0 b a c a
0 0 b a c b
0 0 b a c c
0 0 b b 0 0
0 0 b b 0 a
0 0 b b 0 b
0 0 b b 0 c
0 0 b b a 0
0 0 b b a a
0 0 b b a b
0 0 b b a c
0 0 b b b 0
0 0 b b b a
0 0 b b b b
0 0 b b b c
0 0 b b c 0
0 0 b b c a
0 0 b b c b
0 0 b b c c
0 0 b c 0 0
0 0 b c 0 a
0 0 b c 0 b
0 0 b c 0 c
0 0 b c a 0
0 0 b c a a
0 0 b c a b
0 0 b c a c
0 0 b c b 0
0 0 b c b a
0 0 b c b b
0 0 b c b c
0 0 b c c 0
0 0 b c c a
0 0 b c c b
0 0 b c c c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c
0 0 c 0 a 0
0 0 c 0 a a
0 0 c 0 a b
0 0 c 0 a c
0 0 c 0 b 0
0 0 c 0 b a
0 0 c 0 b b
0 0 c 0 b c
0 0 c 0 c 0
0 0 c 0 c a
0 0 c 0 c b
0 0 c 0 c c
0 0 c a 0 0
0 0 c a 0 a
0 0 c a 0 b
0 0 c a 0 c
0 0 c a a 0
0 0 c a a a
0 0 c a a b
0 0 c a a c
0 0 c a b 0
0 0 c a b a
0 0 c a b b
0 0 c a b c
0 0 c a c 0
0 0 c a c a
0 0 c a c b
0 0 c a c c
0 0 c b 0 0
0 0 c b 0 a
0 0 c b 0 b
0 0 c b 0 c
0 0 c b a 0
0 0 c b a a
0 0 c b a b
0 0 c b a c
0 0 c b b 0
0 0 c b b a
0 0 c b b b
0 0 c b b c
0 0 c b c 0
0 0 c b c a
0 0 c b c b
0 0 c b c c
0 0 c c 0 0
0 0 c c 0 a
0 0 c c 0 b
0 0 c c 0 c
0 0 c c a 0
0 0 c c a a
0 0 c c a b
0 0 c c a c
0 0 c c b 0
0 0 c c b a
0 0 c c b b
0 0 c c b c
0 0 c c c 0
0 0 c c c a
0 0 c c c b
0 0 c c c c
0 a 0 0 0 0
0 a 0 0 0 a
0 a 0 0 0 b
0 a 0 0 0 c
0 a 0 0 a 0
0 a 0 0 a a
0 a 0 0 a b
0 a 0 0 a c
0 a 0 0 b 0
0 a 0 0 b a
0 a 0 0 b b
0 a 0 0 b c
0 a 0 0 c 0
0 a 0 0 c a
0 a 0 0 c b
0 a 0 0 c c
0 a 0 a 0 0
0 a 0 a 0 a
0 a 0 a 0 b
0 a 0 a 0 c
0 a 0 a a 0
0 a 0 a a a
0 a 0 a a b
0 a 0 a a c
0 a 0 a b 0
0 a 0 a b a
0 a 0 a b b
0 a 0 a b c
0 a 0 a c 0
0 a 0 a c a
0 a 0 a c b
0 a 0 a c c
0 a 0 b 0 0
0 a 0 b 0 a
0 a 0 b 0 b
0 a 0 b 0 c
0 a 0 b a 0
0 a 0 b a a
0 a 0 b a b
0 a 0 b a c
0 a 0 b b 0
0 a 0 b b a
0 a 0 b b b
0 a 0 b b c
0 a 0 b c 0
0 a 0 b c a
0 a 0 b c b
0 a 0 b c c
0 a 0 c 0 0
0 a 0 c 0 a
0 a 0 c 0 b
0 a 0 c 0 c
0 a 0 c a 0
0 a 0 c a a
0 a 0 c a b
0 a 0 c a c
0 a 0 c b 0
0 a 0 c b a
0 a 0 c b b
0 a 0 c b c
0 a 0 c c 0
0 a 0 c c a
0 a 0 c c b
0 a 0 c c c
0 a a 0 0 0
0 a a 0 0 a
0 a a 0 0 b
0 a a 0 0 c
0 a a 0 a 0
0 a a 0 a a
0 a a 0 a b
0 a a 0 a c
0 a a 0 b 0
0 a a 0 b a
0 a a 0 b b
0 a a 0 b c
0 a a 0 c 0
0 a a 0 c a
0 a a 0 c b
0 a a 0 c c
0 a a a 0 0
0 a a a 0 a
0 a a a 0 b
0 a a a 0 c
0 a a a a 0
0 a a a a a
0 a a a a b
0 a a a a c
0 a a a b 0
0 a a a b a
0 a a a b b
0 a a a b c
0 a a a c 0
0 a a a c a
0 a a a c b
0 a a a c c
0 a a b 0 0
0 a a b 0 a
0 a a b 0 b
0 a a b 0 c
0 a a b a 0
0 a a b a a
0 a a b a b
0 a a b a c
0 a a b b 0
0 a a b b a
0 a a b b b
0 a a b b c
0 a a b c 0
0 a a b c a
0 a a b c b
0 a a b c c
0 a a c 0 0
0 a a c 0 a
0 a a c 0 b
0 a a c 0 c
0 a a c a 0
0 a a c a a
0 a a c a b
0 a a c a c
0 a a c b 0
0 a a c b a
0 a a c b b
0 a a c b c
0 a a c c 0
0 a a c c a
0 a a c c b
0 a a c c c
0 a b 0 0 0
0 a b 0 0 a
0 a b 0 0 b
0 a b 0 0 c
0 a b 0 a 0
0 a b 0 a a
0 a b 0 a b
0 a b 0 a c
0 a b 0 b 0
0 a b 0 b a
0 a b 0 b b
0 a b 0 b c
0 a b 0 c 0
0 a b 0 c a
0 a b 0 c b
0 a b 0 c c
0 a b a 0 0
0 a b a 0 a
0 a b a 0 b
0 a b a 0 c
0 a b a a 0
0 a b a a a
0 a b a a b
0 a b a a c
0 a b a b 0
0 a b a b a
0 a b a b b
0 a b a b c
0 a b a c 0
0 a b a c a
0 a b a c b
0 a b a c c
0 a b b 0 0
0 a b b 0 a
0 a b b 0 b
0 a b b 0 c
0 a b b a 0
0 a b b a a
0 a b b a b
0 a b b a c
0 a b b b 0
0 a b b b a
0 a b b b b
0 a b b b c
0 a b b c 0
0 a b b c a
0 a b b c b
0 a b b c c
0 a b c 0 0
0 a b c 0 a
0 a b c 0 b
0 a b c 0 c
0 a b c a 0
0 a b c a a
0 a b c a b
0 a b c a c
0 a b c b 0
0 a b c b a
0 a b c b b
0 a b c b c
0 a b c c 0
0 a b c c a
0 a b c c b
0 a b c c c
0 a c 0 0 0
0 a c 0 0 a
0 a c 0 0 b
0 a c 0 0 c
0 a c 0 a 0
0 a c 0 a a
0 a c 0 a b
0 a c 0 a c
0 a c 0 b 0
0 a c 0 b a
0 a c 0 b b
0 a c 0 b c
0 a c 0 c 0
0 a c 0 c a
0 a c 0 c b
0 a c 0 c c
0 a c a 0 0
0 a c a 0 a
0 a c a 0 b
0 a c a 0 c
0 a c a a 0
0 a c a a a
0 a c a a b
0 a c a a c
0 a c a b 0
0 a c a b a
0 a c a b b
0 a c a b c
0 a c a c 0
0 a c a c a
0 a c a c b
0 a c a c c
0 a c b 0 0
0 a c b 0 a
0 a c b 0 b
0 a c b 0 c
0 a c b a 0
0 a c b a a
0 a c b a b
0 a c b a c
0 a c b b 0
0 a c b b a
0 a c b b b
0 a c b b c
0 a c b c 0
0 a c b c a
0 a c b c b
0 a c b c c
0 a c c 0 0
0 a c c 0 a
0 a c c 0 b
0 a c c 0 c
0 a c c a 0
0 a c c a a
0 a c c a b
0 a c c a c
0 a c c b 0
0 a c c b a
0 a c c b b
0 a c c b c
0 a c c c 0
0 a c c c a
0 a c c c b
0 a c c c c
0 b 0 0 0 0
0 b 0 0 0 a
0 b 0 0 0 b
0 b 0 0 0 c
0 b 0 0 a 0
0 b 0 0 a a
0 b 0 0 a b
0 b 0 0 a c
0 b 0 0 b 0
0 b 0 0 b a
0 b 0 0 b b
0 b 0 0 b c
0 b 0 0 c 0
0 b 0 0 c a
0 b 0 0 c b
0 b 0 0 c c
0 b 0 a 0 0
0 b 0 a 0 a
0 b 0 a 0 b
0 b 0 a 0 c
0 b 0 a a 0
0 b 0 a a a
0 b 0 a a b
0 b 0 a a c
0 b 0 a b 0
0 b 0 a b a
0 b 0 a b b
0 b 0 a b c
0 b 0 a c 0
0 b 0 a c a
0 b 0 a c b
0 b 0 a c c
0 b 0 b 0 0
0 b 0 b 0 a
0 b 0 b 0 b
0 b 0 b 0 c
0 b 0 b a 0
0 b 0 b a a
0 b 0 b a b
0 b 0 b a c
0 b 0 b b 0
0 b 0 b b a
0 b 0 b b b
0 b 0 b b c
0 b 0 b c 0
0 b 0 b c a
0 b 0 b c b
0 b 0 b c c
0 b 0 c 0 0
0 b 0 c 0 a
0 b 0 c 0 b
0 b 0 c 0 c
0 b 0 c a 0
0 b 0 c a a
0 b 0 c a b
0 b 0 c a c
0 b 0 c b 0
0 b 0 c b a
0 b 0 c b b
0 b 0 c b c
0 b 0 c c 0
0 b 0 c c a
0 b 0 c c b
0 b 0 c c c
0 b a 0 0 0
0 b a 0 0 a
0 b a 0 0 b
0 b a 0 0 c
0 b a 0 a 0
0 b a 0 a a
0 b a 0 a b
0 b a 0 a c
0 b a 0 b 0
0 b a 0 b a
0 b a 0 b b
0 b a 0 b c
0 b a 0 c 0
0 b a 0 c a
0 b a 0 c b
0 b a 0 c c
0 b a a 0 0
0 b a a 0 a
0 b a a 0 b
0 b a a 0 c
0 b a a a 0
0 b a a a a
0 b a a a b
0 b a a a c
0 b a a b 0
0 b a a b a
0 b a a b b
0 b a a b c
0 b a a c 0
0 b a a c a
0 b a a c b
0 b a a c c
0 b a b 0 0
0 b a b 0 a
0 b a b 0 b
0 b a b 0 c
0 b a b a 0
0 b a b a a
0 b a b a b
0 b a b a c
0 b a b b 0
0 b a b b a
0 b a b b b
0 b a b b c
0 b a b c 0
0 b a b c a
0 b a b c b
0 b a b c c
0 b a c 0 0
0 b a c 0 a
0 b a c 0 b
0 b a c 0 c
0 b a c a 0
0 b a c a a
0 b a c a b
0 b a c a c
0 b a c b 0
0 b a c b a
0 b a c b b
0 b a c b c
0 b a c c 0
0 b a c c a
0 b a c c b
0 b a c c c
0 b b 0 0 0
0 b b 0 0 a
0 b b 0 0 b
0 b b 0 0 c
0 b b 0 a 0
0 b b 0 a a
0 b b 0 a b
0 b b 0 a c
0 b b 0 b 0
0 b b 0 b a
0 b b 0 b b
0 b b 0 b c
0 b b 0 c 0
0 b b 0 c a
0 b b 0 c b
0 b b 0 c c
0 b b a 0 0
0 b b a 0 a
0 b b a 0 b
0 b b a 0 c
0 b b a a 0
0 b b a a a
0 b b a a b
0 b b a a c
0 b b a b 0
0 b b a b a
0 b b a b b
0 b b a b c
0 b b a c 0
0 b b a c a
0 b b a c b
0 b b a c c
0 b b b 0 0
0 b b b 0 a
0 b b b 0 b
0 b b b 0 c
0 b b b a 0
0 b b b a a
0 b b b a b
0 b b b a c
0 b b b b 0
0 b b b b a
0 b b b b b
0 b b b b c
0 b b b c 0
0 b b b c a
0 b b b c b
0 b b b c c
0 b b c 0 0
0 b b c 0 a
0 b b c 0 b
0 b b c 0 c
0 b b c a 0
0 b b c a a
0 b b c a b
0 b b c a c
0 b b c b 0
0 b b c b a
0 b b c b b
0 b b c b c
0 b b c c 0
0 b b c c a
0 b b c c b
0 b b c c c
0 b c 0 0 0
0 b c 0 0 a
0 b c 0 0 b
0 b c 0 0 c
0 b c 0 a 0
0 b c 0 a a
0 b c 0 a b
0 b c 0 a c
0 b c 0 b 0
0 b c 0 b a
0 b c 0 b b
0 b c 0 b c
0 b c 0 c 0
0 b c 0 c a
0 b c 0 c b
0 b c 0 c c
0 b c a 0 0
0 b c a 0 a
0 b c a 0 b
0 b c a 0 c
0 b c a a 0
0 b c a a a
0 b c a a b
0 b c a a c
0 b c a b 0
0 b c a b a
0 b c a b b
0 b c a b c
0 b c a c 0
0 b c a c a
0 b c a c b
0 b c a c c
0 b c b 0 0
0 b c b 0 a
0 b c b 0 b
0 b c b 0 c
0 b c b a 0
0 b c b a a
0 b c b a b
0 b c b a c
0 b c b b 0
0 b c b b a
0 b c b b b
0 b c b b c
0 b c b c 0
0 b c b c a
0 b c b c b
0 b c b c c
0 b c c 0 0
0 b c c 0 a
0 b c c 0 b
0 b c c 0 c
0 b c c a 0
0 b c c a a
0 b c c a b
0 b c c a c
0 b c c b 0
0 b c c b a
0 b c c b b
0 b c c b c
0 b c c c 0
0 b c c c a
0 b c c c b
0 b c c c c
0 c 0 0 0 0
0 c 0 0 0 a
0 c 0 0 0 b
0 c 0 0 0 c
0 c 0 0 a 0
0 c 0 0 a a
0 c 0 0 a b
0 c 0 0 a c
0 c 0 0 b 0
0 c 0 0 b a
0 c 0 0 b b
0 c 0 0 b c
0 c 0 0 c 0
0 c 0 0 c a
0 c 0 0 c b
0 c 0 0 c c
0 c 0 a 0 0
0 c 0 a 0 a
0 c 0 a 0 b
0 c 0 a 0 c
0 c 0 a a 0
0 c 0 a a a
0 c 0 a a b
0 c 0 a a c
0 c 0 a b 0
0 c 0 a b a
0 c 0 a b b
0 c 0 a b c
0 c 0 a c 0
0 c 0 a c a
0 c 0 a c b
0 c 0 a c c
0 c 0 b 0 0
0 c 0 b 0 a
0 c 0 b 0 b
0 c 0 b 0 c
0 c 0 b a 0
0 c 0 b a a
0 c 0 b a b
0 c 0 b a c
0 c 0 b b 0
0 c 0 b b a
0 c 0 b b b
0 c 0 b b c
0 c 0 b c 0
0 c 0 b c a
0 c 0 b c b
0 c 0 b c c
0 c 0 c 0 0
0 c 0 c 0 a
0 c 0 c 0 b
0 c 0 c 0 c
0 c 0 c a 0
0 c 0 c a a
0 c 0 c a b
0 c 0 c a c
0 c 0 c b 0
0 c 0 c b a
0 c 0 c b b
0 c 0 c b c
0 c 0 c c 0
0 c 0 c c a
0 c 0 c c b
0 c 0 c c c
0 c a 0 0 0
0 c a 0 0 a
0 c a 0 0 b
0 c a 0 0 c
0 c a 0 a 0
0 c a 0 a a
0 c a 0 a b
0 c a 0 a c
0 c a 0 b 0
0 c a 0 b a
0 c a 0 b b
0 c a 0 b c
0 c a 0 c 0
0 c a 0 c a
0 c a 0 c b
0 c a 0 c c
0 c a a 0 0
0 c a a 0 a
0 c a a 0 b
0 c a a 0 c
0 c a a a 0
0 c a a a a
0 c a a a b
0 c a a a c
0 c a a b 0
0 c a a b a
0 c a a b b
0 c a a b c
0 c a a c 0
0 c a a c a
0 c a a c b
0 c a a c c
0 c a b 0 0
0 c a b 0 a
0 c a b 0 b
0 c a b 0 c
0 c a b a 0
0 c a b a a
0 c a b a b
0 c a b a c
0 c a b b 0
0 c a b b a
0 c a b b b
0 c a b b c
0 c a b c 0
0 c a b c a
0 c a b c b
0 c a b c c
0 c a c 0 0
0 c a c 0 a
0 c a c 0 b
0 c a c 0 c
0 c a c a 0
0 c a c a a
0 c a c a b
0 c a c a c
0 c a c b 0
0 c a c b a
0 c a c b b
0 c a c b c
0 c a c c 0
0 c a c c a
0 c a c c b
0 c a c c c
0 c b 0 0 0
0 c b 0 0 a
0 c b 0 0 b
0 c b 0 0 c
0 c b 0 a 0
0 c b 0 a a
0 c b 0 a b
0 c b 0 a c
0 c b 0 b 0
0 c b 0 b a
0 c b 0 b b
0 c b 0 b c
0 c b 0 c 0
0 c b 0 c a
0 c b 0 c b
0 c b 0 c c
0 c b a 0 0
0 c b a 0 a
0 c b a 0 b
0 c b a 0 c
0 c b a a 0
0 c b a a a
0 c b a a b
0 c b a a c
0 c b a b 0
0 c b a b a
0 c b a b b
0 c b a b c
0 c b a c 0
0 c b a c a
0 c b a c b
0 c b a c c
0 c b b 0 0
0 c b b 0 a
0 c b b 0 b
0 c b b 0 c
0 c b b a 0
0 c b b a a
0 c b b a b
0 c b b a c
0 c b b b 0
0 c b b b a
0 c b b b b
0 c b b b c
0 c b b c 0
0 c b b c a
0 c b b c b
0 c b b c c
0 c b c 0 0
0 c b c 0 a
0 c b c 0 b
0 c b c 0 c
0 c b c a 0
0 c b c a a
0 c b c a b
0 c b c a c
0 c b c b 0
0 c b c b a
0 c b c b b
0 c b c b c
0 c b c c 0
0 c b c c a
0 c b c c b
0 c b c c c
0 c c 0 0 0
0 c c 0 0 a
0 c c 0 0 b
0 c c 0 0 c
0 c c 0 a 0
0 c c 0 a a
0 c c 0 a b
0 c c 0 a c
0 c c 0 b 0
0 c c 0 b a
0 c c 0 b b
0 c c 0 b c
0 c c 0 c 0
0 c c 0 c a
0 c c 0 c b
0 c c 0 c c
0 c c a 0 0
0 c c a 0 a
0 c c a 0 b
0 c c a 0 c
0 c c a a 0
0 c c a a a
0 c c a a b
0 c c a a c
0 c c a b 0
0 c c a b a
0 c c a b b
0 c c a b c
0 c c a c 0
0 c c a c a
0 c c a c b
0 c c a c c
0 c c b 0 0
0 c c b 0 a
0 c c b 0 b
0 c c b 0 c
0 c c b a 0
0 c c b a a
0 c c b a b
0 c c b a c
0 c c b b 0
0 c c b b a
0 c c b b b
0 c c b b c
0 c c b c 0
0 c c b c a
0 c c b c b
0 c c b c c
0 c c c 0 0
0 c c c 0 a
0 c c c 0 b
0 c c c 0 c
0 c c c a 0
0 c c c a a
0 c c c a b
0 c c c a c
0 c c c b 0
0 c c c b a
0 c c c b b
0 c c c b c
0 c c c c 0
0 c c c c a
0 c c c c b
0 c c c c c
Is it a nice code?: No
Generator Matrix-2
a 0 0 0 0 0
b 0 0 0 0 0
0 c 0 0 0 0
0 0 c 0 0 0
0 0 0 c 0 0
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 0
0 0 0 c c c
0 0 c 0 0 0
0 0 c 0 c c
0 0 c c 0 0
0 0 c c c c
0 c 0 0 0 0
0 c 0 0 c c
0 c 0 c 0 0
0 c 0 c c c
0 c c 0 0 0
0 c c 0 c c
0 c c c 0 0
0 c c c c c
b 0 0 0 0 0
b 0 0 0 c c
b 0 0 c 0 0
b 0 0 c c c
b 0 c 0 0 0
b 0 c 0 c c
b 0 c c 0 0
b 0 c c c c
b c 0 0 0 0
b c 0 0 c c
b c 0 c 0 0
b c 0 c c c
b c c 0 0 0
b c c 0 c c
b c c c 0 0
b c c c c c
a 0 0 0 0 0
a 0 0 0 c c
a 0 0 c 0 0
a 0 0 c c c
a 0 c 0 0 0
a 0 c 0 c c
a 0 c c 0 0
a 0 c c c c
a c 0 0 0 0
a c 0 0 c c
a c 0 c 0 0
a c 0 c c c
a c c 0 0 0
a c c 0 c c
a c c c 0 0
a c c c c c
c 0 0 0 0 0
c 0 0 0 c c
c 0 0 c 0 0
c 0 0 c c c
c 0 c 0 0 0
c 0 c 0 c c
c 0 c c 0 0
c 0 c c c c
c c 0 0 0 0
c c 0 0 c c
c c 0 c 0 0
c c 0 c c c
c c c 0 0 0
c c c 0 c c
c c c c 0 0
c c c c c c
dmin: 1
Weight Enumerator: 1x0 + 6x1 + 13x2 + 16x3 + 15x4 + 10x5 + 3x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)5 (X_b)1 + (X_0)3 (X_b)1 (X_c)2 + (X_0)4 (X_b)1 (X_c)1 + (X_0)2 (X_b)1 (X_c)3 + (X_0)4 (X_b)1 (X_c)1 + (X_0)2 (X_b)1 (X_c)3 + (X_0)3 (X_b)1 (X_c)2 + (X_0)1 (X_b)1 (X_c)4 + (X_0)4 (X_b)1 (X_c)1 + (X_0)2 (X_b)1 (X_c)3 + (X_0)3 (X_b)1 (X_c)2 + (X_0)1 (X_b)1 (X_c)4 + (X_0)3 (X_b)1 (X_c)2 + (X_0)1 (X_b)1 (X_c)4 + (X_0)2 (X_b)1 (X_c)3 + (X_b)1 (X_c)5 + (X_0)5 (X_a)1 + (X_0)3 (X_a)1 (X_c)2 + (X_0)4 (X_a)1 (X_c)1 + (X_0)2 (X_a)1 (X_c)3 + (X_0)4 (X_a)1 (X_c)1 + (X_0)2 (X_a)1 (X_c)3 + (X_0)3 (X_a)1 (X_c)2 + (X_0)1 (X_a)1 (X_c)4 + (X_0)4 (X_a)1 (X_c)1 + (X_0)2 (X_a)1 (X_c)3 + (X_0)3 (X_a)1 (X_c)2 + (X_0)1 (X_a)1 (X_c)4 + (X_0)3 (X_a)1 (X_c)2 + (X_0)1 (X_a)1 (X_c)4 + (X_0)2 (X_a)1 (X_c)3 + (X_a)1 (X_c)5 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_c)6
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 a a 0
0 0 0 a a a
0 0 0 a a b
0 0 0 a a c
0 0 0 a b 0
0 0 0 a b a
0 0 0 a b b
0 0 0 a b c
0 0 0 a c 0
0 0 0 a c a
0 0 0 a c b
0 0 0 a c c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 b a 0
0 0 0 b a a
0 0 0 b a b
0 0 0 b a c
0 0 0 b b 0
0 0 0 b b a
0 0 0 b b b
0 0 0 b b c
0 0 0 b c 0
0 0 0 b c a
0 0 0 b c b
0 0 0 b c c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c
0 0 0 c a 0
0 0 0 c a a
0 0 0 c a b
0 0 0 c a c
0 0 0 c b 0
0 0 0 c b a
0 0 0 c b b
0 0 0 c b c
0 0 0 c c 0
0 0 0 c c a
0 0 0 c c b
0 0 0 c c c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 a 0 a 0
0 0 a 0 a a
0 0 a 0 a b
0 0 a 0 a c
0 0 a 0 b 0
0 0 a 0 b a
0 0 a 0 b b
0 0 a 0 b c
0 0 a 0 c 0
0 0 a 0 c a
0 0 a 0 c b
0 0 a 0 c c
0 0 a a 0 0
0 0 a a 0 a
0 0 a a 0 b
0 0 a a 0 c
0 0 a a a 0
0 0 a a a a
0 0 a a a b
0 0 a a a c
0 0 a a b 0
0 0 a a b a
0 0 a a b b
0 0 a a b c
0 0 a a c 0
0 0 a a c a
0 0 a a c b
0 0 a a c c
0 0 a b 0 0
0 0 a b 0 a
0 0 a b 0 b
0 0 a b 0 c
0 0 a b a 0
0 0 a b a a
0 0 a b a b
0 0 a b a c
0 0 a b b 0
0 0 a b b a
0 0 a b b b
0 0 a b b c
0 0 a b c 0
0 0 a b c a
0 0 a b c b
0 0 a b c c
0 0 a c 0 0
0 0 a c 0 a
0 0 a c 0 b
0 0 a c 0 c
0 0 a c a 0
0 0 a c a a
0 0 a c a b
0 0 a c a c
0 0 a c b 0
0 0 a c b a
0 0 a c b b
0 0 a c b c
0 0 a c c 0
0 0 a c c a
0 0 a c c b
0 0 a c c c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 b 0 a 0
0 0 b 0 a a
0 0 b 0 a b
0 0 b 0 a c
0 0 b 0 b 0
0 0 b 0 b a
0 0 b 0 b b
0 0 b 0 b c
0 0 b 0 c 0
0 0 b 0 c a
0 0 b 0 c b
0 0 b 0 c c
0 0 b a 0 0
0 0 b a 0 a
0 0 b a 0 b
0 0 b a 0 c
0 0 b a a 0
0 0 b a a a
0 0 b a a b
0 0 b a a c
0 0 b a b 0
0 0 b a b a
0 0 b a b b
0 0 b a b c
0 0 b a c 0
0 0 b a c a
0 0 b a c b
0 0 b a c c
0 0 b b 0 0
0 0 b b 0 a
0 0 b b 0 b
0 0 b b 0 c
0 0 b b a 0
0 0 b b a a
0 0 b b a b
0 0 b b a c
0 0 b b b 0
0 0 b b b a
0 0 b b b b
0 0 b b b c
0 0 b b c 0
0 0 b b c a
0 0 b b c b
0 0 b b c c
0 0 b c 0 0
0 0 b c 0 a
0 0 b c 0 b
0 0 b c 0 c
0 0 b c a 0
0 0 b c a a
0 0 b c a b
0 0 b c a c
0 0 b c b 0
0 0 b c b a
0 0 b c b b
0 0 b c b c
0 0 b c c 0
0 0 b c c a
0 0 b c c b
0 0 b c c c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c
0 0 c 0 a 0
0 0 c 0 a a
0 0 c 0 a b
0 0 c 0 a c
0 0 c 0 b 0
0 0 c 0 b a
0 0 c 0 b b
0 0 c 0 b c
0 0 c 0 c 0
0 0 c 0 c a
0 0 c 0 c b
0 0 c 0 c c
0 0 c a 0 0
0 0 c a 0 a
0 0 c a 0 b
0 0 c a 0 c
0 0 c a a 0
0 0 c a a a
0 0 c a a b
0 0 c a a c
0 0 c a b 0
0 0 c a b a
0 0 c a b b
0 0 c a b c
0 0 c a c 0
0 0 c a c a
0 0 c a c b
0 0 c a c c
0 0 c b 0 0
0 0 c b 0 a
0 0 c b 0 b
0 0 c b 0 c
0 0 c b a 0
0 0 c b a a
0 0 c b a b
0 0 c b a c
0 0 c b b 0
0 0 c b b a
0 0 c b b b
0 0 c b b c
0 0 c b c 0
0 0 c b c a
0 0 c b c b
0 0 c b c c
0 0 c c 0 0
0 0 c c 0 a
0 0 c c 0 b
0 0 c c 0 c
0 0 c c a 0
0 0 c c a a
0 0 c c a b
0 0 c c a c
0 0 c c b 0
0 0 c c b a
0 0 c c b b
0 0 c c b c
0 0 c c c 0
0 0 c c c a
0 0 c c c b
0 0 c c c c
0 a 0 0 0 0
0 a 0 0 0 a
0 a 0 0 0 b
0 a 0 0 0 c
0 a 0 0 a 0
0 a 0 0 a a
0 a 0 0 a b
0 a 0 0 a c
0 a 0 0 b 0
0 a 0 0 b a
0 a 0 0 b b
0 a 0 0 b c
0 a 0 0 c 0
0 a 0 0 c a
0 a 0 0 c b
0 a 0 0 c c
0 a 0 a 0 0
0 a 0 a 0 a
0 a 0 a 0 b
0 a 0 a 0 c
0 a 0 a a 0
0 a 0 a a a
0 a 0 a a b
0 a 0 a a c
0 a 0 a b 0
0 a 0 a b a
0 a 0 a b b
0 a 0 a b c
0 a 0 a c 0
0 a 0 a c a
0 a 0 a c b
0 a 0 a c c
0 a 0 b 0 0
0 a 0 b 0 a
0 a 0 b 0 b
0 a 0 b 0 c
0 a 0 b a 0
0 a 0 b a a
0 a 0 b a b
0 a 0 b a c
0 a 0 b b 0
0 a 0 b b a
0 a 0 b b b
0 a 0 b b c
0 a 0 b c 0
0 a 0 b c a
0 a 0 b c b
0 a 0 b c c
0 a 0 c 0 0
0 a 0 c 0 a
0 a 0 c 0 b
0 a 0 c 0 c
0 a 0 c a 0
0 a 0 c a a
0 a 0 c a b
0 a 0 c a c
0 a 0 c b 0
0 a 0 c b a
0 a 0 c b b
0 a 0 c b c
0 a 0 c c 0
0 a 0 c c a
0 a 0 c c b
0 a 0 c c c
0 a a 0 0 0
0 a a 0 0 a
0 a a 0 0 b
0 a a 0 0 c
0 a a 0 a 0
0 a a 0 a a
0 a a 0 a b
0 a a 0 a c
0 a a 0 b 0
0 a a 0 b a
0 a a 0 b b
0 a a 0 b c
0 a a 0 c 0
0 a a 0 c a
0 a a 0 c b
0 a a 0 c c
0 a a a 0 0
0 a a a 0 a
0 a a a 0 b
0 a a a 0 c
0 a a a a 0
0 a a a a a
0 a a a a b
0 a a a a c
0 a a a b 0
0 a a a b a
0 a a a b b
0 a a a b c
0 a a a c 0
0 a a a c a
0 a a a c b
0 a a a c c
0 a a b 0 0
0 a a b 0 a
0 a a b 0 b
0 a a b 0 c
0 a a b a 0
0 a a b a a
0 a a b a b
0 a a b a c
0 a a b b 0
0 a a b b a
0 a a b b b
0 a a b b c
0 a a b c 0
0 a a b c a
0 a a b c b
0 a a b c c
0 a a c 0 0
0 a a c 0 a
0 a a c 0 b
0 a a c 0 c
0 a a c a 0
0 a a c a a
0 a a c a b
0 a a c a c
0 a a c b 0
0 a a c b a
0 a a c b b
0 a a c b c
0 a a c c 0
0 a a c c a
0 a a c c b
0 a a c c c
0 a b 0 0 0
0 a b 0 0 a
0 a b 0 0 b
0 a b 0 0 c
0 a b 0 a 0
0 a b 0 a a
0 a b 0 a b
0 a b 0 a c
0 a b 0 b 0
0 a b 0 b a
0 a b 0 b b
0 a b 0 b c
0 a b 0 c 0
0 a b 0 c a
0 a b 0 c b
0 a b 0 c c
0 a b a 0 0
0 a b a 0 a
0 a b a 0 b
0 a b a 0 c
0 a b a a 0
0 a b a a a
0 a b a a b
0 a b a a c
0 a b a b 0
0 a b a b a
0 a b a b b
0 a b a b c
0 a b a c 0
0 a b a c a
0 a b a c b
0 a b a c c
0 a b b 0 0
0 a b b 0 a
0 a b b 0 b
0 a b b 0 c
0 a b b a 0
0 a b b a a
0 a b b a b
0 a b b a c
0 a b b b 0
0 a b b b a
0 a b b b b
0 a b b b c
0 a b b c 0
0 a b b c a
0 a b b c b
0 a b b c c
0 a b c 0 0
0 a b c 0 a
0 a b c 0 b
0 a b c 0 c
0 a b c a 0
0 a b c a a
0 a b c a b
0 a b c a c
0 a b c b 0
0 a b c b a
0 a b c b b
0 a b c b c
0 a b c c 0
0 a b c c a
0 a b c c b
0 a b c c c
0 a c 0 0 0
0 a c 0 0 a
0 a c 0 0 b
0 a c 0 0 c
0 a c 0 a 0
0 a c 0 a a
0 a c 0 a b
0 a c 0 a c
0 a c 0 b 0
0 a c 0 b a
0 a c 0 b b
0 a c 0 b c
0 a c 0 c 0
0 a c 0 c a
0 a c 0 c b
0 a c 0 c c
0 a c a 0 0
0 a c a 0 a
0 a c a 0 b
0 a c a 0 c
0 a c a a 0
0 a c a a a
0 a c a a b
0 a c a a c
0 a c a b 0
0 a c a b a
0 a c a b b
0 a c a b c
0 a c a c 0
0 a c a c a
0 a c a c b
0 a c a c c
0 a c b 0 0
0 a c b 0 a
0 a c b 0 b
0 a c b 0 c
0 a c b a 0
0 a c b a a
0 a c b a b
0 a c b a c
0 a c b b 0
0 a c b b a
0 a c b b b
0 a c b b c
0 a c b c 0
0 a c b c a
0 a c b c b
0 a c b c c
0 a c c 0 0
0 a c c 0 a
0 a c c 0 b
0 a c c 0 c
0 a c c a 0
0 a c c a a
0 a c c a b
0 a c c a c
0 a c c b 0
0 a c c b a
0 a c c b b
0 a c c b c
0 a c c c 0
0 a c c c a
0 a c c c b
0 a c c c c
0 b 0 0 0 0
0 b 0 0 0 a
0 b 0 0 0 b
0 b 0 0 0 c
0 b 0 0 a 0
0 b 0 0 a a
0 b 0 0 a b
0 b 0 0 a c
0 b 0 0 b 0
0 b 0 0 b a
0 b 0 0 b b
0 b 0 0 b c
0 b 0 0 c 0
0 b 0 0 c a
0 b 0 0 c b
0 b 0 0 c c
0 b 0 a 0 0
0 b 0 a 0 a
0 b 0 a 0 b
0 b 0 a 0 c
0 b 0 a a 0
0 b 0 a a a
0 b 0 a a b
0 b 0 a a c
0 b 0 a b 0
0 b 0 a b a
0 b 0 a b b
0 b 0 a b c
0 b 0 a c 0
0 b 0 a c a
0 b 0 a c b
0 b 0 a c c
0 b 0 b 0 0
0 b 0 b 0 a
0 b 0 b 0 b
0 b 0 b 0 c
0 b 0 b a 0
0 b 0 b a a
0 b 0 b a b
0 b 0 b a c
0 b 0 b b 0
0 b 0 b b a
0 b 0 b b b
0 b 0 b b c
0 b 0 b c 0
0 b 0 b c a
0 b 0 b c b
0 b 0 b c c
0 b 0 c 0 0
0 b 0 c 0 a
0 b 0 c 0 b
0 b 0 c 0 c
0 b 0 c a 0
0 b 0 c a a
0 b 0 c a b
0 b 0 c a c
0 b 0 c b 0
0 b 0 c b a
0 b 0 c b b
0 b 0 c b c
0 b 0 c c 0
0 b 0 c c a
0 b 0 c c b
0 b 0 c c c
0 b a 0 0 0
0 b a 0 0 a
0 b a 0 0 b
0 b a 0 0 c
0 b a 0 a 0
0 b a 0 a a
0 b a 0 a b
0 b a 0 a c
0 b a 0 b 0
0 b a 0 b a
0 b a 0 b b
0 b a 0 b c
0 b a 0 c 0
0 b a 0 c a
0 b a 0 c b
0 b a 0 c c
0 b a a 0 0
0 b a a 0 a
0 b a a 0 b
0 b a a 0 c
0 b a a a 0
0 b a a a a
0 b a a a b
0 b a a a c
0 b a a b 0
0 b a a b a
0 b a a b b
0 b a a b c
0 b a a c 0
0 b a a c a
0 b a a c b
0 b a a c c
0 b a b 0 0
0 b a b 0 a
0 b a b 0 b
0 b a b 0 c
0 b a b a 0
0 b a b a a
0 b a b a b
0 b a b a c
0 b a b b 0
0 b a b b a
0 b a b b b
0 b a b b c
0 b a b c 0
0 b a b c a
0 b a b c b
0 b a b c c
0 b a c 0 0
0 b a c 0 a
0 b a c 0 b
0 b a c 0 c
0 b a c a 0
0 b a c a a
0 b a c a b
0 b a c a c
0 b a c b 0
0 b a c b a
0 b a c b b
0 b a c b c
0 b a c c 0
0 b a c c a
0 b a c c b
0 b a c c c
0 b b 0 0 0
0 b b 0 0 a
0 b b 0 0 b
0 b b 0 0 c
0 b b 0 a 0
0 b b 0 a a
0 b b 0 a b
0 b b 0 a c
0 b b 0 b 0
0 b b 0 b a
0 b b 0 b b
0 b b 0 b c
0 b b 0 c 0
0 b b 0 c a
0 b b 0 c b
0 b b 0 c c
0 b b a 0 0
0 b b a 0 a
0 b b a 0 b
0 b b a 0 c
0 b b a a 0
0 b b a a a
0 b b a a b
0 b b a a c
0 b b a b 0
0 b b a b a
0 b b a b b
0 b b a b c
0 b b a c 0
0 b b a c a
0 b b a c b
0 b b a c c
0 b b b 0 0
0 b b b 0 a
0 b b b 0 b
0 b b b 0 c
0 b b b a 0
0 b b b a a
0 b b b a b
0 b b b a c
0 b b b b 0
0 b b b b a
0 b b b b b
0 b b b b c
0 b b b c 0
0 b b b c a
0 b b b c b
0 b b b c c
0 b b c 0 0
0 b b c 0 a
0 b b c 0 b
0 b b c 0 c
0 b b c a 0
0 b b c a a
0 b b c a b
0 b b c a c
0 b b c b 0
0 b b c b a
0 b b c b b
0 b b c b c
0 b b c c 0
0 b b c c a
0 b b c c b
0 b b c c c
0 b c 0 0 0
0 b c 0 0 a
0 b c 0 0 b
0 b c 0 0 c
0 b c 0 a 0
0 b c 0 a a
0 b c 0 a b
0 b c 0 a c
0 b c 0 b 0
0 b c 0 b a
0 b c 0 b b
0 b c 0 b c
0 b c 0 c 0
0 b c 0 c a
0 b c 0 c b
0 b c 0 c c
0 b c a 0 0
0 b c a 0 a
0 b c a 0 b
0 b c a 0 c
0 b c a a 0
0 b c a a a
0 b c a a b
0 b c a a c
0 b c a b 0
0 b c a b a
0 b c a b b
0 b c a b c
0 b c a c 0
0 b c a c a
0 b c a c b
0 b c a c c
0 b c b 0 0
0 b c b 0 a
0 b c b 0 b
0 b c b 0 c
0 b c b a 0
0 b c b a a
0 b c b a b
0 b c b a c
0 b c b b 0
0 b c b b a
0 b c b b b
0 b c b b c
0 b c b c 0
0 b c b c a
0 b c b c b
0 b c b c c
0 b c c 0 0
0 b c c 0 a
0 b c c 0 b
0 b c c 0 c
0 b c c a 0
0 b c c a a
0 b c c a b
0 b c c a c
0 b c c b 0
0 b c c b a
0 b c c b b
0 b c c b c
0 b c c c 0
0 b c c c a
0 b c c c b
0 b c c c c
0 c 0 0 0 0
0 c 0 0 0 a
0 c 0 0 0 b
0 c 0 0 0 c
0 c 0 0 a 0
0 c 0 0 a a
0 c 0 0 a b
0 c 0 0 a c
0 c 0 0 b 0
0 c 0 0 b a
0 c 0 0 b b
0 c 0 0 b c
0 c 0 0 c 0
0 c 0 0 c a
0 c 0 0 c b
0 c 0 0 c c
0 c 0 a 0 0
0 c 0 a 0 a
0 c 0 a 0 b
0 c 0 a 0 c
0 c 0 a a 0
0 c 0 a a a
0 c 0 a a b
0 c 0 a a c
0 c 0 a b 0
0 c 0 a b a
0 c 0 a b b
0 c 0 a b c
0 c 0 a c 0
0 c 0 a c a
0 c 0 a c b
0 c 0 a c c
0 c 0 b 0 0
0 c 0 b 0 a
0 c 0 b 0 b
0 c 0 b 0 c
0 c 0 b a 0
0 c 0 b a a
0 c 0 b a b
0 c 0 b a c
0 c 0 b b 0
0 c 0 b b a
0 c 0 b b b
0 c 0 b b c
0 c 0 b c 0
0 c 0 b c a
0 c 0 b c b
0 c 0 b c c
0 c 0 c 0 0
0 c 0 c 0 a
0 c 0 c 0 b
0 c 0 c 0 c
0 c 0 c a 0
0 c 0 c a a
0 c 0 c a b
0 c 0 c a c
0 c 0 c b 0
0 c 0 c b a
0 c 0 c b b
0 c 0 c b c
0 c 0 c c 0
0 c 0 c c a
0 c 0 c c b
0 c 0 c c c
0 c a 0 0 0
0 c a 0 0 a
0 c a 0 0 b
0 c a 0 0 c
0 c a 0 a 0
0 c a 0 a a
0 c a 0 a b
0 c a 0 a c
0 c a 0 b 0
0 c a 0 b a
0 c a 0 b b
0 c a 0 b c
0 c a 0 c 0
0 c a 0 c a
0 c a 0 c b
0 c a 0 c c
0 c a a 0 0
0 c a a 0 a
0 c a a 0 b
0 c a a 0 c
0 c a a a 0
0 c a a a a
0 c a a a b
0 c a a a c
0 c a a b 0
0 c a a b a
0 c a a b b
0 c a a b c
0 c a a c 0
0 c a a c a
0 c a a c b
0 c a a c c
0 c a b 0 0
0 c a b 0 a
0 c a b 0 b
0 c a b 0 c
0 c a b a 0
0 c a b a a
0 c a b a b
0 c a b a c
0 c a b b 0
0 c a b b a
0 c a b b b
0 c a b b c
0 c a b c 0
0 c a b c a
0 c a b c b
0 c a b c c
0 c a c 0 0
0 c a c 0 a
0 c a c 0 b
0 c a c 0 c
0 c a c a 0
0 c a c a a
0 c a c a b
0 c a c a c
0 c a c b 0
0 c a c b a
0 c a c b b
0 c a c b c
0 c a c c 0
0 c a c c a
0 c a c c b
0 c a c c c
0 c b 0 0 0
0 c b 0 0 a
0 c b 0 0 b
0 c b 0 0 c
0 c b 0 a 0
0 c b 0 a a
0 c b 0 a b
0 c b 0 a c
0 c b 0 b 0
0 c b 0 b a
0 c b 0 b b
0 c b 0 b c
0 c b 0 c 0
0 c b 0 c a
0 c b 0 c b
0 c b 0 c c
0 c b a 0 0
0 c b a 0 a
0 c b a 0 b
0 c b a 0 c
0 c b a a 0
0 c b a a a
0 c b a a b
0 c b a a c
0 c b a b 0
0 c b a b a
0 c b a b b
0 c b a b c
0 c b a c 0
0 c b a c a
0 c b a c b
0 c b a c c
0 c b b 0 0
0 c b b 0 a
0 c b b 0 b
0 c b b 0 c
0 c b b a 0
0 c b b a a
0 c b b a b
0 c b b a c
0 c b b b 0
0 c b b b a
0 c b b b b
0 c b b b c
0 c b b c 0
0 c b b c a
0 c b b c b
0 c b b c c
0 c b c 0 0
0 c b c 0 a
0 c b c 0 b
0 c b c 0 c
0 c b c a 0
0 c b c a a
0 c b c a b
0 c b c a c
0 c b c b 0
0 c b c b a
0 c b c b b
0 c b c b c
0 c b c c 0
0 c b c c a
0 c b c c b
0 c b c c c
0 c c 0 0 0
0 c c 0 0 a
0 c c 0 0 b
0 c c 0 0 c
0 c c 0 a 0
0 c c 0 a a
0 c c 0 a b
0 c c 0 a c
0 c c 0 b 0
0 c c 0 b a
0 c c 0 b b
0 c c 0 b c
0 c c 0 c 0
0 c c 0 c a
0 c c 0 c b
0 c c 0 c c
0 c c a 0 0
0 c c a 0 a
0 c c a 0 b
0 c c a 0 c
0 c c a a 0
0 c c a a a
0 c c a a b
0 c c a a c
0 c c a b 0
0 c c a b a
0 c c a b b
0 c c a b c
0 c c a c 0
0 c c a c a
0 c c a c b
0 c c a c c
0 c c b 0 0
0 c c b 0 a
0 c c b 0 b
0 c c b 0 c
0 c c b a 0
0 c c b a a
0 c c b a b
0 c c b a c
0 c c b b 0
0 c c b b a
0 c c b b b
0 c c b b c
0 c c b c 0
0 c c b c a
0 c c b c b
0 c c b c c
0 c c c 0 0
0 c c c 0 a
0 c c c 0 b
0 c c c 0 c
0 c c c a 0
0 c c c a a
0 c c c a b
0 c c c a c
0 c c c b 0
0 c c c b a
0 c c c b b
0 c c c b c
0 c c c c 0
0 c c c c a
0 c c c c b
0 c c c c c
Is it a nice code?: No
Generator Matrix-3
a 0 0 0 0 0
b 0 0 0 0 0
0 c 0 0 0 0
0 0 c 0 0 0
0 0 0 c 0 c
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 c
0 0 0 c c c
0 0 c 0 0 0
0 0 c 0 c 0
0 0 c c 0 c
0 0 c c c c
0 c 0 0 0 0
0 c 0 0 c 0
0 c 0 c 0 c
0 c 0 c c c
0 c c 0 0 0
0 c c 0 c 0
0 c c c 0 c
0 c c c c c
b 0 0 0 0 0
b 0 0 0 c 0
b 0 0 c 0 c
b 0 0 c c c
b 0 c 0 0 0
b 0 c 0 c 0
b 0 c c 0 c
b 0 c c c c
b c 0 0 0 0
b c 0 0 c 0
b c 0 c 0 c
b c 0 c c c
b c c 0 0 0
b c c 0 c 0
b c c c 0 c
b c c c c c
a 0 0 0 0 0
a 0 0 0 c 0
a 0 0 c 0 c
a 0 0 c c c
a 0 c 0 0 0
a 0 c 0 c 0
a 0 c c 0 c
a 0 c c c c
a c 0 0 0 0
a c 0 0 c 0
a c 0 c 0 c
a c 0 c c c
a c c 0 0 0
a c c 0 c 0
a c c c 0 c
a c c c c c
c 0 0 0 0 0
c 0 0 0 c 0
c 0 0 c 0 c
c 0 0 c c c
c 0 c 0 0 0
c 0 c 0 c 0
c 0 c c 0 c
c 0 c c c c
c c 0 0 0 0
c c 0 0 c 0
c c 0 c 0 c
c c 0 c c c
c c c 0 0 0
c c c 0 c 0
c c c c 0 c
c c c c c c
dmin: 1
Weight Enumerator: 1x0 + 6x1 + 13x2 + 16x3 + 15x4 + 10x5 + 3x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)5 (X_b)1 + (X_0)4 (X_b)1 (X_c)1 + (X_0)3 (X_b)1 (X_c)2 + (X_0)2 (X_b)1 (X_c)3 + (X_0)4 (X_b)1 (X_c)1 + (X_0)3 (X_b)1 (X_c)2 + (X_0)2 (X_b)1 (X_c)3 + (X_0)1 (X_b)1 (X_c)4 + (X_0)4 (X_b)1 (X_c)1 + (X_0)3 (X_b)1 (X_c)2 + (X_0)2 (X_b)1 (X_c)3 + (X_0)1 (X_b)1 (X_c)4 + (X_0)3 (X_b)1 (X_c)2 + (X_0)2 (X_b)1 (X_c)3 + (X_0)1 (X_b)1 (X_c)4 + (X_b)1 (X_c)5 + (X_0)5 (X_a)1 + (X_0)4 (X_a)1 (X_c)1 + (X_0)3 (X_a)1 (X_c)2 + (X_0)2 (X_a)1 (X_c)3 + (X_0)4 (X_a)1 (X_c)1 + (X_0)3 (X_a)1 (X_c)2 + (X_0)2 (X_a)1 (X_c)3 + (X_0)1 (X_a)1 (X_c)4 + (X_0)4 (X_a)1 (X_c)1 + (X_0)3 (X_a)1 (X_c)2 + (X_0)2 (X_a)1 (X_c)3 + (X_0)1 (X_a)1 (X_c)4 + (X_0)3 (X_a)1 (X_c)2 + (X_0)2 (X_a)1 (X_c)3 + (X_0)1 (X_a)1 (X_c)4 + (X_a)1 (X_c)5 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_c)6
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 a a 0
0 0 0 a a a
0 0 0 a a b
0 0 0 a a c
0 0 0 a b 0
0 0 0 a b a
0 0 0 a b b
0 0 0 a b c
0 0 0 a c 0
0 0 0 a c a
0 0 0 a c b
0 0 0 a c c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 b a 0
0 0 0 b a a
0 0 0 b a b
0 0 0 b a c
0 0 0 b b 0
0 0 0 b b a
0 0 0 b b b
0 0 0 b b c
0 0 0 b c 0
0 0 0 b c a
0 0 0 b c b
0 0 0 b c c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c
0 0 0 c a 0
0 0 0 c a a
0 0 0 c a b
0 0 0 c a c
0 0 0 c b 0
0 0 0 c b a
0 0 0 c b b
0 0 0 c b c
0 0 0 c c 0
0 0 0 c c a
0 0 0 c c b
0 0 0 c c c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 a 0 a 0
0 0 a 0 a a
0 0 a 0 a b
0 0 a 0 a c
0 0 a 0 b 0
0 0 a 0 b a
0 0 a 0 b b
0 0 a 0 b c
0 0 a 0 c 0
0 0 a 0 c a
0 0 a 0 c b
0 0 a 0 c c
0 0 a a 0 0
0 0 a a 0 a
0 0 a a 0 b
0 0 a a 0 c
0 0 a a a 0
0 0 a a a a
0 0 a a a b
0 0 a a a c
0 0 a a b 0
0 0 a a b a
0 0 a a b b
0 0 a a b c
0 0 a a c 0
0 0 a a c a
0 0 a a c b
0 0 a a c c
0 0 a b 0 0
0 0 a b 0 a
0 0 a b 0 b
0 0 a b 0 c
0 0 a b a 0
0 0 a b a a
0 0 a b a b
0 0 a b a c
0 0 a b b 0
0 0 a b b a
0 0 a b b b
0 0 a b b c
0 0 a b c 0
0 0 a b c a
0 0 a b c b
0 0 a b c c
0 0 a c 0 0
0 0 a c 0 a
0 0 a c 0 b
0 0 a c 0 c
0 0 a c a 0
0 0 a c a a
0 0 a c a b
0 0 a c a c
0 0 a c b 0
0 0 a c b a
0 0 a c b b
0 0 a c b c
0 0 a c c 0
0 0 a c c a
0 0 a c c b
0 0 a c c c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 b 0 a 0
0 0 b 0 a a
0 0 b 0 a b
0 0 b 0 a c
0 0 b 0 b 0
0 0 b 0 b a
0 0 b 0 b b
0 0 b 0 b c
0 0 b 0 c 0
0 0 b 0 c a
0 0 b 0 c b
0 0 b 0 c c
0 0 b a 0 0
0 0 b a 0 a
0 0 b a 0 b
0 0 b a 0 c
0 0 b a a 0
0 0 b a a a
0 0 b a a b
0 0 b a a c
0 0 b a b 0
0 0 b a b a
0 0 b a b b
0 0 b a b c
0 0 b a c 0
0 0 b a c a
0 0 b a c b
0 0 b a c c
0 0 b b 0 0
0 0 b b 0 a
0 0 b b 0 b
0 0 b b 0 c
0 0 b b a 0
0 0 b b a a
0 0 b b a b
0 0 b b a c
0 0 b b b 0
0 0 b b b a
0 0 b b b b
0 0 b b b c
0 0 b b c 0
0 0 b b c a
0 0 b b c b
0 0 b b c c
0 0 b c 0 0
0 0 b c 0 a
0 0 b c 0 b
0 0 b c 0 c
0 0 b c a 0
0 0 b c a a
0 0 b c a b
0 0 b c a c
0 0 b c b 0
0 0 b c b a
0 0 b c b b
0 0 b c b c
0 0 b c c 0
0 0 b c c a
0 0 b c c b
0 0 b c c c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c
0 0 c 0 a 0
0 0 c 0 a a
0 0 c 0 a b
0 0 c 0 a c
0 0 c 0 b 0
0 0 c 0 b a
0 0 c 0 b b
0 0 c 0 b c
0 0 c 0 c 0
0 0 c 0 c a
0 0 c 0 c b
0 0 c 0 c c
0 0 c a 0 0
0 0 c a 0 a
0 0 c a 0 b
0 0 c a 0 c
0 0 c a a 0
0 0 c a a a
0 0 c a a b
0 0 c a a c
0 0 c a b 0
0 0 c a b a
0 0 c a b b
0 0 c a b c
0 0 c a c 0
0 0 c a c a
0 0 c a c b
0 0 c a c c
0 0 c b 0 0
0 0 c b 0 a
0 0 c b 0 b
0 0 c b 0 c
0 0 c b a 0
0 0 c b a a
0 0 c b a b
0 0 c b a c
0 0 c b b 0
0 0 c b b a
0 0 c b b b
0 0 c b b c
0 0 c b c 0
0 0 c b c a
0 0 c b c b
0 0 c b c c
0 0 c c 0 0
0 0 c c 0 a
0 0 c c 0 b
0 0 c c 0 c
0 0 c c a 0
0 0 c c a a
0 0 c c a b
0 0 c c a c
0 0 c c b 0
0 0 c c b a
0 0 c c b b
0 0 c c b c
0 0 c c c 0
0 0 c c c a
0 0 c c c b
0 0 c c c c
0 a 0 0 0 0
0 a 0 0 0 a
0 a 0 0 0 b
0 a 0 0 0 c
0 a 0 0 a 0
0 a 0 0 a a
0 a 0 0 a b
0 a 0 0 a c
0 a 0 0 b 0
0 a 0 0 b a
0 a 0 0 b b
0 a 0 0 b c
0 a 0 0 c 0
0 a 0 0 c a
0 a 0 0 c b
0 a 0 0 c c
0 a 0 a 0 0
0 a 0 a 0 a
0 a 0 a 0 b
0 a 0 a 0 c
0 a 0 a a 0
0 a 0 a a a
0 a 0 a a b
0 a 0 a a c
0 a 0 a b 0
0 a 0 a b a
0 a 0 a b b
0 a 0 a b c
0 a 0 a c 0
0 a 0 a c a
0 a 0 a c b
0 a 0 a c c
0 a 0 b 0 0
0 a 0 b 0 a
0 a 0 b 0 b
0 a 0 b 0 c
0 a 0 b a 0
0 a 0 b a a
0 a 0 b a b
0 a 0 b a c
0 a 0 b b 0
0 a 0 b b a
0 a 0 b b b
0 a 0 b b c
0 a 0 b c 0
0 a 0 b c a
0 a 0 b c b
0 a 0 b c c
0 a 0 c 0 0
0 a 0 c 0 a
0 a 0 c 0 b
0 a 0 c 0 c
0 a 0 c a 0
0 a 0 c a a
0 a 0 c a b
0 a 0 c a c
0 a 0 c b 0
0 a 0 c b a
0 a 0 c b b
0 a 0 c b c
0 a 0 c c 0
0 a 0 c c a
0 a 0 c c b
0 a 0 c c c
0 a a 0 0 0
0 a a 0 0 a
0 a a 0 0 b
0 a a 0 0 c
0 a a 0 a 0
0 a a 0 a a
0 a a 0 a b
0 a a 0 a c
0 a a 0 b 0
0 a a 0 b a
0 a a 0 b b
0 a a 0 b c
0 a a 0 c 0
0 a a 0 c a
0 a a 0 c b
0 a a 0 c c
0 a a a 0 0
0 a a a 0 a
0 a a a 0 b
0 a a a 0 c
0 a a a a 0
0 a a a a a
0 a a a a b
0 a a a a c
0 a a a b 0
0 a a a b a
0 a a a b b
0 a a a b c
0 a a a c 0
0 a a a c a
0 a a a c b
0 a a a c c
0 a a b 0 0
0 a a b 0 a
0 a a b 0 b
0 a a b 0 c
0 a a b a 0
0 a a b a a
0 a a b a b
0 a a b a c
0 a a b b 0
0 a a b b a
0 a a b b b
0 a a b b c
0 a a b c 0
0 a a b c a
0 a a b c b
0 a a b c c
0 a a c 0 0
0 a a c 0 a
0 a a c 0 b
0 a a c 0 c
0 a a c a 0
0 a a c a a
0 a a c a b
0 a a c a c
0 a a c b 0
0 a a c b a
0 a a c b b
0 a a c b c
0 a a c c 0
0 a a c c a
0 a a c c b
0 a a c c c
0 a b 0 0 0
0 a b 0 0 a
0 a b 0 0 b
0 a b 0 0 c
0 a b 0 a 0
0 a b 0 a a
0 a b 0 a b
0 a b 0 a c
0 a b 0 b 0
0 a b 0 b a
0 a b 0 b b
0 a b 0 b c
0 a b 0 c 0
0 a b 0 c a
0 a b 0 c b
0 a b 0 c c
0 a b a 0 0
0 a b a 0 a
0 a b a 0 b
0 a b a 0 c
0 a b a a 0
0 a b a a a
0 a b a a b
0 a b a a c
0 a b a b 0
0 a b a b a
0 a b a b b
0 a b a b c
0 a b a c 0
0 a b a c a
0 a b a c b
0 a b a c c
0 a b b 0 0
0 a b b 0 a
0 a b b 0 b
0 a b b 0 c
0 a b b a 0
0 a b b a a
0 a b b a b
0 a b b a c
0 a b b b 0
0 a b b b a
0 a b b b b
0 a b b b c
0 a b b c 0
0 a b b c a
0 a b b c b
0 a b b c c
0 a b c 0 0
0 a b c 0 a
0 a b c 0 b
0 a b c 0 c
0 a b c a 0
0 a b c a a
0 a b c a b
0 a b c a c
0 a b c b 0
0 a b c b a
0 a b c b b
0 a b c b c
0 a b c c 0
0 a b c c a
0 a b c c b
0 a b c c c
0 a c 0 0 0
0 a c 0 0 a
0 a c 0 0 b
0 a c 0 0 c
0 a c 0 a 0
0 a c 0 a a
0 a c 0 a b
0 a c 0 a c
0 a c 0 b 0
0 a c 0 b a
0 a c 0 b b
0 a c 0 b c
0 a c 0 c 0
0 a c 0 c a
0 a c 0 c b
0 a c 0 c c
0 a c a 0 0
0 a c a 0 a
0 a c a 0 b
0 a c a 0 c
0 a c a a 0
0 a c a a a
0 a c a a b
0 a c a a c
0 a c a b 0
0 a c a b a
0 a c a b b
0 a c a b c
0 a c a c 0
0 a c a c a
0 a c a c b
0 a c a c c
0 a c b 0 0
0 a c b 0 a
0 a c b 0 b
0 a c b 0 c
0 a c b a 0
0 a c b a a
0 a c b a b
0 a c b a c
0 a c b b 0
0 a c b b a
0 a c b b b
0 a c b b c
0 a c b c 0
0 a c b c a
0 a c b c b
0 a c b c c
0 a c c 0 0
0 a c c 0 a
0 a c c 0 b
0 a c c 0 c
0 a c c a 0
0 a c c a a
0 a c c a b
0 a c c a c
0 a c c b 0
0 a c c b a
0 a c c b b
0 a c c b c
0 a c c c 0
0 a c c c a
0 a c c c b
0 a c c c c
0 b 0 0 0 0
0 b 0 0 0 a
0 b 0 0 0 b
0 b 0 0 0 c
0 b 0 0 a 0
0 b 0 0 a a
0 b 0 0 a b
0 b 0 0 a c
0 b 0 0 b 0
0 b 0 0 b a
0 b 0 0 b b
0 b 0 0 b c
0 b 0 0 c 0
0 b 0 0 c a
0 b 0 0 c b
0 b 0 0 c c
0 b 0 a 0 0
0 b 0 a 0 a
0 b 0 a 0 b
0 b 0 a 0 c
0 b 0 a a 0
0 b 0 a a a
0 b 0 a a b
0 b 0 a a c
0 b 0 a b 0
0 b 0 a b a
0 b 0 a b b
0 b 0 a b c
0 b 0 a c 0
0 b 0 a c a
0 b 0 a c b
0 b 0 a c c
0 b 0 b 0 0
0 b 0 b 0 a
0 b 0 b 0 b
0 b 0 b 0 c
0 b 0 b a 0
0 b 0 b a a
0 b 0 b a b
0 b 0 b a c
0 b 0 b b 0
0 b 0 b b a
0 b 0 b b b
0 b 0 b b c
0 b 0 b c 0
0 b 0 b c a
0 b 0 b c b
0 b 0 b c c
0 b 0 c 0 0
0 b 0 c 0 a
0 b 0 c 0 b
0 b 0 c 0 c
0 b 0 c a 0
0 b 0 c a a
0 b 0 c a b
0 b 0 c a c
0 b 0 c b 0
0 b 0 c b a
0 b 0 c b b
0 b 0 c b c
0 b 0 c c 0
0 b 0 c c a
0 b 0 c c b
0 b 0 c c c
0 b a 0 0 0
0 b a 0 0 a
0 b a 0 0 b
0 b a 0 0 c
0 b a 0 a 0
0 b a 0 a a
0 b a 0 a b
0 b a 0 a c
0 b a 0 b 0
0 b a 0 b a
0 b a 0 b b
0 b a 0 b c
0 b a 0 c 0
0 b a 0 c a
0 b a 0 c b
0 b a 0 c c
0 b a a 0 0
0 b a a 0 a
0 b a a 0 b
0 b a a 0 c
0 b a a a 0
0 b a a a a
0 b a a a b
0 b a a a c
0 b a a b 0
0 b a a b a
0 b a a b b
0 b a a b c
0 b a a c 0
0 b a a c a
0 b a a c b
0 b a a c c
0 b a b 0 0
0 b a b 0 a
0 b a b 0 b
0 b a b 0 c
0 b a b a 0
0 b a b a a
0 b a b a b
0 b a b a c
0 b a b b 0
0 b a b b a
0 b a b b b
0 b a b b c
0 b a b c 0
0 b a b c a
0 b a b c b
0 b a b c c
0 b a c 0 0
0 b a c 0 a
0 b a c 0 b
0 b a c 0 c
0 b a c a 0
0 b a c a a
0 b a c a b
0 b a c a c
0 b a c b 0
0 b a c b a
0 b a c b b
0 b a c b c
0 b a c c 0
0 b a c c a
0 b a c c b
0 b a c c c
0 b b 0 0 0
0 b b 0 0 a
0 b b 0 0 b
0 b b 0 0 c
0 b b 0 a 0
0 b b 0 a a
0 b b 0 a b
0 b b 0 a c
0 b b 0 b 0
0 b b 0 b a
0 b b 0 b b
0 b b 0 b c
0 b b 0 c 0
0 b b 0 c a
0 b b 0 c b
0 b b 0 c c
0 b b a 0 0
0 b b a 0 a
0 b b a 0 b
0 b b a 0 c
0 b b a a 0
0 b b a a a
0 b b a a b
0 b b a a c
0 b b a b 0
0 b b a b a
0 b b a b b
0 b b a b c
0 b b a c 0
0 b b a c a
0 b b a c b
0 b b a c c
0 b b b 0 0
0 b b b 0 a
0 b b b 0 b
0 b b b 0 c
0 b b b a 0
0 b b b a a
0 b b b a b
0 b b b a c
0 b b b b 0
0 b b b b a
0 b b b b b
0 b b b b c
0 b b b c 0
0 b b b c a
0 b b b c b
0 b b b c c
0 b b c 0 0
0 b b c 0 a
0 b b c 0 b
0 b b c 0 c
0 b b c a 0
0 b b c a a
0 b b c a b
0 b b c a c
0 b b c b 0
0 b b c b a
0 b b c b b
0 b b c b c
0 b b c c 0
0 b b c c a
0 b b c c b
0 b b c c c
0 b c 0 0 0
0 b c 0 0 a
0 b c 0 0 b
0 b c 0 0 c
0 b c 0 a 0
0 b c 0 a a
0 b c 0 a b
0 b c 0 a c
0 b c 0 b 0
0 b c 0 b a
0 b c 0 b b
0 b c 0 b c
0 b c 0 c 0
0 b c 0 c a
0 b c 0 c b
0 b c 0 c c
0 b c a 0 0
0 b c a 0 a
0 b c a 0 b
0 b c a 0 c
0 b c a a 0
0 b c a a a
0 b c a a b
0 b c a a c
0 b c a b 0
0 b c a b a
0 b c a b b
0 b c a b c
0 b c a c 0
0 b c a c a
0 b c a c b
0 b c a c c
0 b c b 0 0
0 b c b 0 a
0 b c b 0 b
0 b c b 0 c
0 b c b a 0
0 b c b a a
0 b c b a b
0 b c b a c
0 b c b b 0
0 b c b b a
0 b c b b b
0 b c b b c
0 b c b c 0
0 b c b c a
0 b c b c b
0 b c b c c
0 b c c 0 0
0 b c c 0 a
0 b c c 0 b
0 b c c 0 c
0 b c c a 0
0 b c c a a
0 b c c a b
0 b c c a c
0 b c c b 0
0 b c c b a
0 b c c b b
0 b c c b c
0 b c c c 0
0 b c c c a
0 b c c c b
0 b c c c c
0 c 0 0 0 0
0 c 0 0 0 a
0 c 0 0 0 b
0 c 0 0 0 c
0 c 0 0 a 0
0 c 0 0 a a
0 c 0 0 a b
0 c 0 0 a c
0 c 0 0 b 0
0 c 0 0 b a
0 c 0 0 b b
0 c 0 0 b c
0 c 0 0 c 0
0 c 0 0 c a
0 c 0 0 c b
0 c 0 0 c c
0 c 0 a 0 0
0 c 0 a 0 a
0 c 0 a 0 b
0 c 0 a 0 c
0 c 0 a a 0
0 c 0 a a a
0 c 0 a a b
0 c 0 a a c
0 c 0 a b 0
0 c 0 a b a
0 c 0 a b b
0 c 0 a b c
0 c 0 a c 0
0 c 0 a c a
0 c 0 a c b
0 c 0 a c c
0 c 0 b 0 0
0 c 0 b 0 a
0 c 0 b 0 b
0 c 0 b 0 c
0 c 0 b a 0
0 c 0 b a a
0 c 0 b a b
0 c 0 b a c
0 c 0 b b 0
0 c 0 b b a
0 c 0 b b b
0 c 0 b b c
0 c 0 b c 0
0 c 0 b c a
0 c 0 b c b
0 c 0 b c c
0 c 0 c 0 0
0 c 0 c 0 a
0 c 0 c 0 b
0 c 0 c 0 c
0 c 0 c a 0
0 c 0 c a a
0 c 0 c a b
0 c 0 c a c
0 c 0 c b 0
0 c 0 c b a
0 c 0 c b b
0 c 0 c b c
0 c 0 c c 0
0 c 0 c c a
0 c 0 c c b
0 c 0 c c c
0 c a 0 0 0
0 c a 0 0 a
0 c a 0 0 b
0 c a 0 0 c
0 c a 0 a 0
0 c a 0 a a
0 c a 0 a b
0 c a 0 a c
0 c a 0 b 0
0 c a 0 b a
0 c a 0 b b
0 c a 0 b c
0 c a 0 c 0
0 c a 0 c a
0 c a 0 c b
0 c a 0 c c
0 c a a 0 0
0 c a a 0 a
0 c a a 0 b
0 c a a 0 c
0 c a a a 0
0 c a a a a
0 c a a a b
0 c a a a c
0 c a a b 0
0 c a a b a
0 c a a b b
0 c a a b c
0 c a a c 0
0 c a a c a
0 c a a c b
0 c a a c c
0 c a b 0 0
0 c a b 0 a
0 c a b 0 b
0 c a b 0 c
0 c a b a 0
0 c a b a a
0 c a b a b
0 c a b a c
0 c a b b 0
0 c a b b a
0 c a b b b
0 c a b b c
0 c a b c 0
0 c a b c a
0 c a b c b
0 c a b c c
0 c a c 0 0
0 c a c 0 a
0 c a c 0 b
0 c a c 0 c
0 c a c a 0
0 c a c a a
0 c a c a b
0 c a c a c
0 c a c b 0
0 c a c b a
0 c a c b b
0 c a c b c
0 c a c c 0
0 c a c c a
0 c a c c b
0 c a c c c
0 c b 0 0 0
0 c b 0 0 a
0 c b 0 0 b
0 c b 0 0 c
0 c b 0 a 0
0 c b 0 a a
0 c b 0 a b
0 c b 0 a c
0 c b 0 b 0
0 c b 0 b a
0 c b 0 b b
0 c b 0 b c
0 c b 0 c 0
0 c b 0 c a
0 c b 0 c b
0 c b 0 c c
0 c b a 0 0
0 c b a 0 a
0 c b a 0 b
0 c b a 0 c
0 c b a a 0
0 c b a a a
0 c b a a b
0 c b a a c
0 c b a b 0
0 c b a b a
0 c b a b b
0 c b a b c
0 c b a c 0
0 c b a c a
0 c b a c b
0 c b a c c
0 c b b 0 0
0 c b b 0 a
0 c b b 0 b
0 c b b 0 c
0 c b b a 0
0 c b b a a
0 c b b a b
0 c b b a c
0 c b b b 0
0 c b b b a
0 c b b b b
0 c b b b c
0 c b b c 0
0 c b b c a
0 c b b c b
0 c b b c c
0 c b c 0 0
0 c b c 0 a
0 c b c 0 b
0 c b c 0 c
0 c b c a 0
0 c b c a a
0 c b c a b
0 c b c a c
0 c b c b 0
0 c b c b a
0 c b c b b
0 c b c b c
0 c b c c 0
0 c b c c a
0 c b c c b
0 c b c c c
0 c c 0 0 0
0 c c 0 0 a
0 c c 0 0 b
0 c c 0 0 c
0 c c 0 a 0
0 c c 0 a a
0 c c 0 a b
0 c c 0 a c
0 c c 0 b 0
0 c c 0 b a
0 c c 0 b b
0 c c 0 b c
0 c c 0 c 0
0 c c 0 c a
0 c c 0 c b
0 c c 0 c c
0 c c a 0 0
0 c c a 0 a
0 c c a 0 b
0 c c a 0 c
0 c c a a 0
0 c c a a a
0 c c a a b
0 c c a a c
0 c c a b 0
0 c c a b a
0 c c a b b
0 c c a b c
0 c c a c 0
0 c c a c a
0 c c a c b
0 c c a c c
0 c c b 0 0
0 c c b 0 a
0 c c b 0 b
0 c c b 0 c
0 c c b a 0
0 c c b a a
0 c c b a b
0 c c b a c
0 c c b b 0
0 c c b b a
0 c c b b b
0 c c b b c
0 c c b c 0
0 c c b c a
0 c c b c b
0 c c b c c
0 c c c 0 0
0 c c c 0 a
0 c c c 0 b
0 c c c 0 c
0 c c c a 0
0 c c c a a
0 c c c a b
0 c c c a c
0 c c c b 0
0 c c c b a
0 c c c b b
0 c c c b c
0 c c c c 0
0 c c c c a
0 c c c c b
0 c c c c c
Is it a nice code?: No
Generator Matrix-4
a 0 0 0 0 0
b 0 0 0 0 0
0 c 0 0 0 0
0 0 c 0 0 0
0 0 0 c 0 c
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 c
0 0 0 c c 0
0 0 c 0 0 0
0 0 c 0 c c
0 0 c c 0 c
0 0 c c c 0
0 c 0 0 0 0
0 c 0 0 c c
0 c 0 c 0 c
0 c 0 c c 0
0 c c 0 0 0
0 c c 0 c c
0 c c c 0 c
0 c c c c 0
b 0 0 0 0 0
b 0 0 0 c c
b 0 0 c 0 c
b 0 0 c c 0
b 0 c 0 0 0
b 0 c 0 c c
b 0 c c 0 c
b 0 c c c 0
b c 0 0 0 0
b c 0 0 c c
b c 0 c 0 c
b c 0 c c 0
b c c 0 0 0
b c c 0 c c
b c c c 0 c
b c c c c 0
a 0 0 0 0 0
a 0 0 0 c c
a 0 0 c 0 c
a 0 0 c c 0
a 0 c 0 0 0
a 0 c 0 c c
a 0 c c 0 c
a 0 c c c 0
a c 0 0 0 0
a c 0 0 c c
a c 0 c 0 c
a c 0 c c 0
a c c 0 0 0
a c c 0 c c
a c c c 0 c
a c c c c 0
c 0 0 0 0 0
c 0 0 0 c c
c 0 0 c 0 c
c 0 0 c c 0
c 0 c 0 0 0
c 0 c 0 c c
c 0 c c 0 c
c 0 c c c 0
c c 0 0 0 0
c c 0 0 c c
c c 0 c 0 c
c c 0 c c 0
c c c 0 0 0
c c c 0 c c
c c c c 0 c
c c c c c 0
dmin: 1
Weight Enumerator: 1x0 + 5x1 + 10x2 + 18x3 + 21x4 + 9x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)5 (X_b)1 + (X_0)3 (X_b)1 (X_c)2 + (X_0)3 (X_b)1 (X_c)2 + (X_0)3 (X_b)1 (X_c)2 + (X_0)4 (X_b)1 (X_c)1 + (X_0)2 (X_b)1 (X_c)3 + (X_0)2 (X_b)1 (X_c)3 + (X_0)2 (X_b)1 (X_c)3 + (X_0)4 (X_b)1 (X_c)1 + (X_0)2 (X_b)1 (X_c)3 + (X_0)2 (X_b)1 (X_c)3 + (X_0)2 (X_b)1 (X_c)3 + (X_0)3 (X_b)1 (X_c)2 + (X_0)1 (X_b)1 (X_c)4 + (X_0)1 (X_b)1 (X_c)4 + (X_0)1 (X_b)1 (X_c)4 + (X_0)5 (X_a)1 + (X_0)3 (X_a)1 (X_c)2 + (X_0)3 (X_a)1 (X_c)2 + (X_0)3 (X_a)1 (X_c)2 + (X_0)4 (X_a)1 (X_c)1 + (X_0)2 (X_a)1 (X_c)3 + (X_0)2 (X_a)1 (X_c)3 + (X_0)2 (X_a)1 (X_c)3 + (X_0)4 (X_a)1 (X_c)1 + (X_0)2 (X_a)1 (X_c)3 + (X_0)2 (X_a)1 (X_c)3 + (X_0)2 (X_a)1 (X_c)3 + (X_0)3 (X_a)1 (X_c)2 + (X_0)1 (X_a)1 (X_c)4 + (X_0)1 (X_a)1 (X_c)4 + (X_0)1 (X_a)1 (X_c)4 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 a a 0
0 0 0 a a a
0 0 0 a a b
0 0 0 a a c
0 0 0 a b 0
0 0 0 a b a
0 0 0 a b b
0 0 0 a b c
0 0 0 a c 0
0 0 0 a c a
0 0 0 a c b
0 0 0 a c c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 b a 0
0 0 0 b a a
0 0 0 b a b
0 0 0 b a c
0 0 0 b b 0
0 0 0 b b a
0 0 0 b b b
0 0 0 b b c
0 0 0 b c 0
0 0 0 b c a
0 0 0 b c b
0 0 0 b c c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c
0 0 0 c a 0
0 0 0 c a a
0 0 0 c a b
0 0 0 c a c
0 0 0 c b 0
0 0 0 c b a
0 0 0 c b b
0 0 0 c b c
0 0 0 c c 0
0 0 0 c c a
0 0 0 c c b
0 0 0 c c c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 a 0 a 0
0 0 a 0 a a
0 0 a 0 a b
0 0 a 0 a c
0 0 a 0 b 0
0 0 a 0 b a
0 0 a 0 b b
0 0 a 0 b c
0 0 a 0 c 0
0 0 a 0 c a
0 0 a 0 c b
0 0 a 0 c c
0 0 a a 0 0
0 0 a a 0 a
0 0 a a 0 b
0 0 a a 0 c
0 0 a a a 0
0 0 a a a a
0 0 a a a b
0 0 a a a c
0 0 a a b 0
0 0 a a b a
0 0 a a b b
0 0 a a b c
0 0 a a c 0
0 0 a a c a
0 0 a a c b
0 0 a a c c
0 0 a b 0 0
0 0 a b 0 a
0 0 a b 0 b
0 0 a b 0 c
0 0 a b a 0
0 0 a b a a
0 0 a b a b
0 0 a b a c
0 0 a b b 0
0 0 a b b a
0 0 a b b b
0 0 a b b c
0 0 a b c 0
0 0 a b c a
0 0 a b c b
0 0 a b c c
0 0 a c 0 0
0 0 a c 0 a
0 0 a c 0 b
0 0 a c 0 c
0 0 a c a 0
0 0 a c a a
0 0 a c a b
0 0 a c a c
0 0 a c b 0
0 0 a c b a
0 0 a c b b
0 0 a c b c
0 0 a c c 0
0 0 a c c a
0 0 a c c b
0 0 a c c c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 b 0 a 0
0 0 b 0 a a
0 0 b 0 a b
0 0 b 0 a c
0 0 b 0 b 0
0 0 b 0 b a
0 0 b 0 b b
0 0 b 0 b c
0 0 b 0 c 0
0 0 b 0 c a
0 0 b 0 c b
0 0 b 0 c c
0 0 b a 0 0
0 0 b a 0 a
0 0 b a 0 b
0 0 b a 0 c
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0 a 0 0 0 0
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0 a a a c 0
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0 a a b 0 b
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0 a b 0 0 0
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0 a c 0 a 0
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0 a c 0 b 0
0 a c 0 b a
0 a c 0 b b
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0 a c a 0 0
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0 a c a b b
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0 a c b 0 0
0 a c b 0 a
0 a c b 0 b
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0 a c b a a
0 a c b a b
0 a c b a c
0 a c b b 0
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0 a c b b b
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0 a c b c a
0 a c b c b
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0 a c c 0 0
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0 a c c a 0
0 a c c a a
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0 a c c a c
0 a c c b 0
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0 a c c b b
0 a c c b c
0 a c c c 0
0 a c c c a
0 a c c c b
0 a c c c c
0 b 0 0 0 0
0 b 0 0 0 a
0 b 0 0 0 b
0 b 0 0 0 c
0 b 0 0 a 0
0 b 0 0 a a
0 b 0 0 a b
0 b 0 0 a c
0 b 0 0 b 0
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0 b 0 0 b b
0 b 0 0 b c
0 b 0 0 c 0
0 b 0 0 c a
0 b 0 0 c b
0 b 0 0 c c
0 b 0 a 0 0
0 b 0 a 0 a
0 b 0 a 0 b
0 b 0 a 0 c
0 b 0 a a 0
0 b 0 a a a
0 b 0 a a b
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0 b 0 a b b
0 b 0 a b c
0 b 0 a c 0
0 b 0 a c a
0 b 0 a c b
0 b 0 a c c
0 b 0 b 0 0
0 b 0 b 0 a
0 b 0 b 0 b
0 b 0 b 0 c
0 b 0 b a 0
0 b 0 b a a
0 b 0 b a b
0 b 0 b a c
0 b 0 b b 0
0 b 0 b b a
0 b 0 b b b
0 b 0 b b c
0 b 0 b c 0
0 b 0 b c a
0 b 0 b c b
0 b 0 b c c
0 b 0 c 0 0
0 b 0 c 0 a
0 b 0 c 0 b
0 b 0 c 0 c
0 b 0 c a 0
0 b 0 c a a
0 b 0 c a b
0 b 0 c a c
0 b 0 c b 0
0 b 0 c b a
0 b 0 c b b
0 b 0 c b c
0 b 0 c c 0
0 b 0 c c a
0 b 0 c c b
0 b 0 c c c
0 b a 0 0 0
0 b a 0 0 a
0 b a 0 0 b
0 b a 0 0 c
0 b a 0 a 0
0 b a 0 a a
0 b a 0 a b
0 b a 0 a c
0 b a 0 b 0
0 b a 0 b a
0 b a 0 b b
0 b a 0 b c
0 b a 0 c 0
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0 b a 0 c b
0 b a 0 c c
0 b a a 0 0
0 b a a 0 a
0 b a a 0 b
0 b a a 0 c
0 b a a a 0
0 b a a a a
0 b a a a b
0 b a a a c
0 b a a b 0
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0 b a a b b
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0 b a a c 0
0 b a a c a
0 b a a c b
0 b a a c c
0 b a b 0 0
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0 b a b 0 b
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0 b a b a 0
0 b a b a a
0 b a b a b
0 b a b a c
0 b a b b 0
0 b a b b a
0 b a b b b
0 b a b b c
0 b a b c 0
0 b a b c a
0 b a b c b
0 b a b c c
0 b a c 0 0
0 b a c 0 a
0 b a c 0 b
0 b a c 0 c
0 b a c a 0
0 b a c a a
0 b a c a b
0 b a c a c
0 b a c b 0
0 b a c b a
0 b a c b b
0 b a c b c
0 b a c c 0
0 b a c c a
0 b a c c b
0 b a c c c
0 b b 0 0 0
0 b b 0 0 a
0 b b 0 0 b
0 b b 0 0 c
0 b b 0 a 0
0 b b 0 a a
0 b b 0 a b
0 b b 0 a c
0 b b 0 b 0
0 b b 0 b a
0 b b 0 b b
0 b b 0 b c
0 b b 0 c 0
0 b b 0 c a
0 b b 0 c b
0 b b 0 c c
0 b b a 0 0
0 b b a 0 a
0 b b a 0 b
0 b b a 0 c
0 b b a a 0
0 b b a a a
0 b b a a b
0 b b a a c
0 b b a b 0
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0 b b a b b
0 b b a b c
0 b b a c 0
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0 b b b 0 0
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0 b b b b 0
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0 b b b b b
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0 b b b c 0
0 b b b c a
0 b b b c b
0 b b b c c
0 b b c 0 0
0 b b c 0 a
0 b b c 0 b
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0 b b c a 0
0 b b c a a
0 b b c a b
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0 b b c c 0
0 b b c c a
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0 b c 0 0 0
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0 b c 0 a 0
0 b c 0 a a
0 b c 0 a b
0 b c 0 a c
0 b c 0 b 0
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0 b c 0 b b
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0 b c 0 c 0
0 b c 0 c a
0 b c 0 c b
0 b c 0 c c
0 b c a 0 0
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0 b c a a 0
0 b c a a a
0 b c a a b
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0 b c c c c
0 c 0 0 0 0
0 c 0 0 0 a
0 c 0 0 0 b
0 c 0 0 0 c
0 c 0 0 a 0
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0 c 0 0 a b
0 c 0 0 a c
0 c 0 0 b 0
0 c 0 0 b a
0 c 0 0 b b
0 c 0 0 b c
0 c 0 0 c 0
0 c 0 0 c a
0 c 0 0 c b
0 c 0 0 c c
0 c 0 a 0 0
0 c 0 a 0 a
0 c 0 a 0 b
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0 c 0 a a 0
0 c 0 a a a
0 c 0 a a b
0 c 0 a a c
0 c 0 a b 0
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0 c 0 a b b
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0 c 0 a c 0
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0 c 0 a c c
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0 c 0 b a b
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0 c 0 c a b
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0 c a 0 b b
0 c a 0 b c
0 c a 0 c 0
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0 c a 0 c b
0 c a 0 c c
0 c a a 0 0
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0 c a a 0 b
0 c a a 0 c
0 c a a a 0
0 c a a a a
0 c a a a b
0 c a a a c
0 c a a b 0
0 c a a b a
0 c a a b b
0 c a a b c
0 c a a c 0
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0 c a b 0 0
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0 c a b a a
0 c a b a b
0 c a b a c
0 c a b b 0
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0 c a b b b
0 c a b b c
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0 c a b c b
0 c a b c c
0 c a c 0 0
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0 c a c 0 b
0 c a c 0 c
0 c a c a 0
0 c a c a a
0 c a c a b
0 c a c a c
0 c a c b 0
0 c a c b a
0 c a c b b
0 c a c b c
0 c a c c 0
0 c a c c a
0 c a c c b
0 c a c c c
0 c b 0 0 0
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0 c b 0 0 b
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0 c b 0 a a
0 c b 0 a b
0 c b 0 a c
0 c b 0 b 0
0 c b 0 b a
0 c b 0 b b
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0 c b 0 c 0
0 c b 0 c a
0 c b 0 c b
0 c b 0 c c
0 c b a 0 0
0 c b a 0 a
0 c b a 0 b
0 c b a 0 c
0 c b a a 0
0 c b a a a
0 c b a a b
0 c b a a c
0 c b a b 0
0 c b a b a
0 c b a b b
0 c b a b c
0 c b a c 0
0 c b a c a
0 c b a c b
0 c b a c c
0 c b b 0 0
0 c b b 0 a
0 c b b 0 b
0 c b b 0 c
0 c b b a 0
0 c b b a a
0 c b b a b
0 c b b a c
0 c b b b 0
0 c b b b a
0 c b b b b
0 c b b b c
0 c b b c 0
0 c b b c a
0 c b b c b
0 c b b c c
0 c b c 0 0
0 c b c 0 a
0 c b c 0 b
0 c b c 0 c
0 c b c a 0
0 c b c a a
0 c b c a b
0 c b c a c
0 c b c b 0
0 c b c b a
0 c b c b b
0 c b c b c
0 c b c c 0
0 c b c c a
0 c b c c b
0 c b c c c
0 c c 0 0 0
0 c c 0 0 a
0 c c 0 0 b
0 c c 0 0 c
0 c c 0 a 0
0 c c 0 a a
0 c c 0 a b
0 c c 0 a c
0 c c 0 b 0
0 c c 0 b a
0 c c 0 b b
0 c c 0 b c
0 c c 0 c 0
0 c c 0 c a
0 c c 0 c b
0 c c 0 c c
0 c c a 0 0
0 c c a 0 a
0 c c a 0 b
0 c c a 0 c
0 c c a a 0
0 c c a a a
0 c c a a b
0 c c a a c
0 c c a b 0
0 c c a b a
0 c c a b b
0 c c a b c
0 c c a c 0
0 c c a c a
0 c c a c b
0 c c a c c
0 c c b 0 0
0 c c b 0 a
0 c c b 0 b
0 c c b 0 c
0 c c b a 0
0 c c b a a
0 c c b a b
0 c c b a c
0 c c b b 0
0 c c b b a
0 c c b b b
0 c c b b c
0 c c b c 0
0 c c b c a
0 c c b c b
0 c c b c c
0 c c c 0 0
0 c c c 0 a
0 c c c 0 b
0 c c c 0 c
0 c c c a 0
0 c c c a a
0 c c c a b
0 c c c a c
0 c c c b 0
0 c c c b a
0 c c c b b
0 c c c b c
0 c c c c 0
0 c c c c a
0 c c c c b
0 c c c c c
Is it a nice code?: No
Generator Matrix-5
a 0 0 0 0 0
b 0 0 0 0 0
0 c 0 0 0 0
0 0 c 0 0 c
0 0 0 c 0 0
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 0
0 0 0 c c 0
0 0 c 0 0 c
0 0 c 0 c c
0 0 c c 0 c
0 0 c c c c
0 c 0 0 0 0
0 c 0 0 c 0
0 c 0 c 0 0
0 c 0 c c 0
0 c c 0 0 c
0 c c 0 c c
0 c c c 0 c
0 c c c c c
b 0 0 0 0 0
b 0 0 0 c 0
b 0 0 c 0 0
b 0 0 c c 0
b 0 c 0 0 c
b 0 c 0 c c
b 0 c c 0 c
b 0 c c c c
b c 0 0 0 0
b c 0 0 c 0
b c 0 c 0 0
b c 0 c c 0
b c c 0 0 c
b c c 0 c c
b c c c 0 c
b c c c c c
a 0 0 0 0 0
a 0 0 0 c 0
a 0 0 c 0 0
a 0 0 c c 0
a 0 c 0 0 c
a 0 c 0 c c
a 0 c c 0 c
a 0 c c c c
a c 0 0 0 0
a c 0 0 c 0
a c 0 c 0 0
a c 0 c c 0
a c c 0 0 c
a c c 0 c c
a c c c 0 c
a c c c c c
c 0 0 0 0 0
c 0 0 0 c 0
c 0 0 c 0 0
c 0 0 c c 0
c 0 c 0 0 c
c 0 c 0 c c
c 0 c c 0 c
c 0 c c c c
c c 0 0 0 0
c c 0 0 c 0
c c 0 c 0 0
c c 0 c c 0
c c c 0 0 c
c c c 0 c c
c c c c 0 c
c c c c c c
dmin: 1
Weight Enumerator: 1x0 + 6x1 + 13x2 + 16x3 + 15x4 + 10x5 + 3x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)5 (X_b)1 + (X_0)4 (X_b)1 (X_c)1 + (X_0)4 (X_b)1 (X_c)1 + (X_0)3 (X_b)1 (X_c)2 + (X_0)3 (X_b)1 (X_c)2 + (X_0)2 (X_b)1 (X_c)3 + (X_0)2 (X_b)1 (X_c)3 + (X_0)1 (X_b)1 (X_c)4 + (X_0)4 (X_b)1 (X_c)1 + (X_0)3 (X_b)1 (X_c)2 + (X_0)3 (X_b)1 (X_c)2 + (X_0)2 (X_b)1 (X_c)3 + (X_0)2 (X_b)1 (X_c)3 + (X_0)1 (X_b)1 (X_c)4 + (X_0)1 (X_b)1 (X_c)4 + (X_b)1 (X_c)5 + (X_0)5 (X_a)1 + (X_0)4 (X_a)1 (X_c)1 + (X_0)4 (X_a)1 (X_c)1 + (X_0)3 (X_a)1 (X_c)2 + (X_0)3 (X_a)1 (X_c)2 + (X_0)2 (X_a)1 (X_c)3 + (X_0)2 (X_a)1 (X_c)3 + (X_0)1 (X_a)1 (X_c)4 + (X_0)4 (X_a)1 (X_c)1 + (X_0)3 (X_a)1 (X_c)2 + (X_0)3 (X_a)1 (X_c)2 + (X_0)2 (X_a)1 (X_c)3 + (X_0)2 (X_a)1 (X_c)3 + (X_0)1 (X_a)1 (X_c)4 + (X_0)1 (X_a)1 (X_c)4 + (X_a)1 (X_c)5 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5 + (X_c)6
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0 c a c c a
0 c a c c b
0 c a c c c
0 c b 0 0 0
0 c b 0 0 a
0 c b 0 0 b
0 c b 0 0 c
0 c b 0 a 0
0 c b 0 a a
0 c b 0 a b
0 c b 0 a c
0 c b 0 b 0
0 c b 0 b a
0 c b 0 b b
0 c b 0 b c
0 c b 0 c 0
0 c b 0 c a
0 c b 0 c b
0 c b 0 c c
0 c b a 0 0
0 c b a 0 a
0 c b a 0 b
0 c b a 0 c
0 c b a a 0
0 c b a a a
0 c b a a b
0 c b a a c
0 c b a b 0
0 c b a b a
0 c b a b b
0 c b a b c
0 c b a c 0
0 c b a c a
0 c b a c b
0 c b a c c
0 c b b 0 0
0 c b b 0 a
0 c b b 0 b
0 c b b 0 c
0 c b b a 0
0 c b b a a
0 c b b a b
0 c b b a c
0 c b b b 0
0 c b b b a
0 c b b b b
0 c b b b c
0 c b b c 0
0 c b b c a
0 c b b c b
0 c b b c c
0 c b c 0 0
0 c b c 0 a
0 c b c 0 b
0 c b c 0 c
0 c b c a 0
0 c b c a a
0 c b c a b
0 c b c a c
0 c b c b 0
0 c b c b a
0 c b c b b
0 c b c b c
0 c b c c 0
0 c b c c a
0 c b c c b
0 c b c c c
0 c c 0 0 0
0 c c 0 0 a
0 c c 0 0 b
0 c c 0 0 c
0 c c 0 a 0
0 c c 0 a a
0 c c 0 a b
0 c c 0 a c
0 c c 0 b 0
0 c c 0 b a
0 c c 0 b b
0 c c 0 b c
0 c c 0 c 0
0 c c 0 c a
0 c c 0 c b
0 c c 0 c c
0 c c a 0 0
0 c c a 0 a
0 c c a 0 b
0 c c a 0 c
0 c c a a 0
0 c c a a a
0 c c a a b
0 c c a a c
0 c c a b 0
0 c c a b a
0 c c a b b
0 c c a b c
0 c c a c 0
0 c c a c a
0 c c a c b
0 c c a c c
0 c c b 0 0
0 c c b 0 a
0 c c b 0 b
0 c c b 0 c
0 c c b a 0
0 c c b a a
0 c c b a b
0 c c b a c
0 c c b b 0
0 c c b b a
0 c c b b b
0 c c b b c
0 c c b c 0
0 c c b c a
0 c c b c b
0 c c b c c
0 c c c 0 0
0 c c c 0 a
0 c c c 0 b
0 c c c 0 c
0 c c c a 0
0 c c c a a
0 c c c a b
0 c c c a c
0 c c c b 0
0 c c c b a
0 c c c b b
0 c c c b c
0 c c c c 0
0 c c c c a
0 c c c c b
0 c c c c c
Is it a nice code?: No
Generator Matrix-6
a 0 0 0 0 0
b 0 0 0 0 0
0 c 0 0 0 0
0 0 c 0 0 c
0 0 0 c 0 0
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 0
0 0 0 c c c
0 0 c 0 0 c
0 0 c 0 c 0
0 0 c c 0 c
0 0 c c c 0
0 c 0 0 0 0
0 c 0 0 c c
0 c 0 c 0 0
0 c 0 c c c
0 c c 0 0 c
0 c c 0 c 0
0 c c c 0 c
0 c c c c 0
b 0 0 0 0 0
b 0 0 0 c c
b 0 0 c 0 0
b 0 0 c c c
b 0 c 0 0 c
b 0 c 0 c 0
b 0 c c 0 c
b 0 c c c 0
b c 0 0 0 0
b c 0 0 c c
b c 0 c 0 0
b c 0 c c c
b c c 0 0 c
b c c 0 c 0
b c c c 0 c
b c c c c 0
a 0 0 0 0 0
a 0 0 0 c c
a 0 0 c 0 0
a 0 0 c c c
a 0 c 0 0 c
a 0 c 0 c 0
a 0 c c 0 c
a 0 c c c 0
a c 0 0 0 0
a c 0 0 c c
a c 0 c 0 0
a c 0 c c c
a c c 0 0 c
a c c 0 c 0
a c c c 0 c
a c c c c 0
c 0 0 0 0 0
c 0 0 0 c c
c 0 0 c 0 0
c 0 0 c c c
c 0 c 0 0 c
c 0 c 0 c 0
c 0 c c 0 c
c 0 c c c 0
c c 0 0 0 0
c c 0 0 c c
c c 0 c 0 0
c c 0 c c c
c c c 0 0 c
c c c 0 c 0
c c c c 0 c
c c c c c 0
dmin: 1
Weight Enumerator: 1x0 + 5x1 + 10x2 + 18x3 + 21x4 + 9x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)5 (X_b)1 + (X_0)3 (X_b)1 (X_c)2 + (X_0)4 (X_b)1 (X_c)1 + (X_0)2 (X_b)1 (X_c)3 + (X_0)3 (X_b)1 (X_c)2 + (X_0)3 (X_b)1 (X_c)2 + (X_0)2 (X_b)1 (X_c)3 + (X_0)2 (X_b)1 (X_c)3 + (X_0)4 (X_b)1 (X_c)1 + (X_0)2 (X_b)1 (X_c)3 + (X_0)3 (X_b)1 (X_c)2 + (X_0)1 (X_b)1 (X_c)4 + (X_0)2 (X_b)1 (X_c)3 + (X_0)2 (X_b)1 (X_c)3 + (X_0)1 (X_b)1 (X_c)4 + (X_0)1 (X_b)1 (X_c)4 + (X_0)5 (X_a)1 + (X_0)3 (X_a)1 (X_c)2 + (X_0)4 (X_a)1 (X_c)1 + (X_0)2 (X_a)1 (X_c)3 + (X_0)3 (X_a)1 (X_c)2 + (X_0)3 (X_a)1 (X_c)2 + (X_0)2 (X_a)1 (X_c)3 + (X_0)2 (X_a)1 (X_c)3 + (X_0)4 (X_a)1 (X_c)1 + (X_0)2 (X_a)1 (X_c)3 + (X_0)3 (X_a)1 (X_c)2 + (X_0)1 (X_a)1 (X_c)4 + (X_0)2 (X_a)1 (X_c)3 + (X_0)2 (X_a)1 (X_c)3 + (X_0)1 (X_a)1 (X_c)4 + (X_0)1 (X_a)1 (X_c)4 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 a a 0
0 0 0 a a a
0 0 0 a a b
0 0 0 a a c
0 0 0 a b 0
0 0 0 a b a
0 0 0 a b b
0 0 0 a b c
0 0 0 a c 0
0 0 0 a c a
0 0 0 a c b
0 0 0 a c c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 b a 0
0 0 0 b a a
0 0 0 b a b
0 0 0 b a c
0 0 0 b b 0
0 0 0 b b a
0 0 0 b b b
0 0 0 b b c
0 0 0 b c 0
0 0 0 b c a
0 0 0 b c b
0 0 0 b c c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c
0 0 0 c a 0
0 0 0 c a a
0 0 0 c a b
0 0 0 c a c
0 0 0 c b 0
0 0 0 c b a
0 0 0 c b b
0 0 0 c b c
0 0 0 c c 0
0 0 0 c c a
0 0 0 c c b
0 0 0 c c c
0 0 a 0 0 0
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0 0 a 0 0 c
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0 0 a 0 a b
0 0 a 0 a c
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0 0 a 0 c b
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0 0 a b a b
0 0 a b a c
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0 0 a b c c
0 0 a c 0 0
0 0 a c 0 a
0 0 a c 0 b
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0 0 a c a b
0 0 a c a c
0 0 a c b 0
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0 0 a c c b
0 0 a c c c
0 0 b 0 0 0
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0 0 b 0 0 b
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0 0 b 0 a b
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0 0 b 0 c a
0 0 b 0 c b
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0 0 b a 0 0
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0 0 b a a 0
0 0 b a a a
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0 0 b c 0 0
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0 0 b c 0 b
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0 0 b c a 0
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0 0 b c a b
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0 0 c 0 0 0
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0 0 c a a 0
0 0 c a a a
0 0 c a a b
0 0 c a a c
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0 0 c a c b
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0 0 c b 0 0
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0 0 c b 0 b
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0 0 c b a 0
0 0 c b a a
0 0 c b a b
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0 0 c b b 0
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0 0 c b b b
0 0 c b b c
0 0 c b c 0
0 0 c b c a
0 0 c b c b
0 0 c b c c
0 0 c c 0 0
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0 0 c c 0 b
0 0 c c 0 c
0 0 c c a 0
0 0 c c a a
0 0 c c a b
0 0 c c a c
0 0 c c b 0
0 0 c c b a
0 0 c c b b
0 0 c c b c
0 0 c c c 0
0 0 c c c a
0 0 c c c b
0 0 c c c c
0 a 0 0 0 0
0 a 0 0 0 a
0 a 0 0 0 b
0 a 0 0 0 c
0 a 0 0 a 0
0 a 0 0 a a
0 a 0 0 a b
0 a 0 0 a c
0 a 0 0 b 0
0 a 0 0 b a
0 a 0 0 b b
0 a 0 0 b c
0 a 0 0 c 0
0 a 0 0 c a
0 a 0 0 c b
0 a 0 0 c c
0 a 0 a 0 0
0 a 0 a 0 a
0 a 0 a 0 b
0 a 0 a 0 c
0 a 0 a a 0
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0 a 0 a a b
0 a 0 a a c
0 a 0 a b 0
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0 a 0 a c 0
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0 a 0 b 0 0
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0 a 0 b a b
0 a 0 b a c
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0 a 0 b b b
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0 a 0 b c b
0 a 0 b c c
0 a 0 c 0 0
0 a 0 c 0 a
0 a 0 c 0 b
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0 a 0 c a 0
0 a 0 c a a
0 a 0 c a b
0 a 0 c a c
0 a 0 c b 0
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0 a 0 c b b
0 a 0 c b c
0 a 0 c c 0
0 a 0 c c a
0 a 0 c c b
0 a 0 c c c
0 a a 0 0 0
0 a a 0 0 a
0 a a 0 0 b
0 a a 0 0 c
0 a a 0 a 0
0 a a 0 a a
0 a a 0 a b
0 a a 0 a c
0 a a 0 b 0
0 a a 0 b a
0 a a 0 b b
0 a a 0 b c
0 a a 0 c 0
0 a a 0 c a
0 a a 0 c b
0 a a 0 c c
0 a a a 0 0
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0 a a a 0 b
0 a a a 0 c
0 a a a a 0
0 a a a a a
0 a a a a b
0 a a a a c
0 a a a b 0
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0 a a a b c
0 a a a c 0
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0 a a a c b
0 a a a c c
0 a a b 0 0
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0 a a b 0 b
0 a a b 0 c
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0 a a c 0 0
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0 a a c b 0
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0 a a c c 0
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0 a a c c b
0 a a c c c
0 a b 0 0 0
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0 a b 0 0 b
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0 a b 0 a b
0 a b 0 a c
0 a b 0 b 0
0 a b 0 b a
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0 a b 0 c 0
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0 a b 0 c b
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0 a b a 0 0
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0 a c 0 0 0
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0 a c 0 b 0
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0 a c 0 c 0
0 a c 0 c a
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0 a c a 0 0
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0 a c c c b
0 a c c c c
0 b 0 0 0 0
0 b 0 0 0 a
0 b 0 0 0 b
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0 b 0 0 a 0
0 b 0 0 a a
0 b 0 0 a b
0 b 0 0 a c
0 b 0 0 b 0
0 b 0 0 b a
0 b 0 0 b b
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0 b 0 0 c 0
0 b 0 0 c a
0 b 0 0 c b
0 b 0 0 c c
0 b 0 a 0 0
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0 b 0 a 0 c
0 b 0 a a 0
0 b 0 a a a
0 b 0 a a b
0 b 0 a a c
0 b 0 a b 0
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0 b 0 a c 0
0 b 0 a c a
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0 b 0 b 0 0
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0 b 0 b 0 b
0 b 0 b 0 c
0 b 0 b a 0
0 b 0 b a a
0 b 0 b a b
0 b 0 b a c
0 b 0 b b 0
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0 b 0 b b b
0 b 0 b b c
0 b 0 b c 0
0 b 0 b c a
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0 b 0 c 0 b
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0 b a 0 0 0
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0 b a 0 b 0
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0 b a 0 b c
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0 b a 0 c c
0 b a a 0 0
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0 b a a a 0
0 b a a a a
0 b a a a b
0 b a a a c
0 b a a b 0
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0 b a a b b
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0 b a a c 0
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0 b a a c b
0 b a a c c
0 b a b 0 0
0 b a b 0 a
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0 b a b a 0
0 b a b a a
0 b a b a b
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0 b a b b 0
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0 b b b a c
0 b b b b 0
0 b b b b a
0 b b b b b
0 b b b b c
0 b b b c 0
0 b b b c a
0 b b b c b
0 b b b c c
0 b b c 0 0
0 b b c 0 a
0 b b c 0 b
0 b b c 0 c
0 b b c a 0
0 b b c a a
0 b b c a b
0 b b c a c
0 b b c b 0
0 b b c b a
0 b b c b b
0 b b c b c
0 b b c c 0
0 b b c c a
0 b b c c b
0 b b c c c
0 b c 0 0 0
0 b c 0 0 a
0 b c 0 0 b
0 b c 0 0 c
0 b c 0 a 0
0 b c 0 a a
0 b c 0 a b
0 b c 0 a c
0 b c 0 b 0
0 b c 0 b a
0 b c 0 b b
0 b c 0 b c
0 b c 0 c 0
0 b c 0 c a
0 b c 0 c b
0 b c 0 c c
0 b c a 0 0
0 b c a 0 a
0 b c a 0 b
0 b c a 0 c
0 b c a a 0
0 b c a a a
0 b c a a b
0 b c a a c
0 b c a b 0
0 b c a b a
0 b c a b b
0 b c a b c
0 b c a c 0
0 b c a c a
0 b c a c b
0 b c a c c
0 b c b 0 0
0 b c b 0 a
0 b c b 0 b
0 b c b 0 c
0 b c b a 0
0 b c b a a
0 b c b a b
0 b c b a c
0 b c b b 0
0 b c b b a
0 b c b b b
0 b c b b c
0 b c b c 0
0 b c b c a
0 b c b c b
0 b c b c c
0 b c c 0 0
0 b c c 0 a
0 b c c 0 b
0 b c c 0 c
0 b c c a 0
0 b c c a a
0 b c c a b
0 b c c a c
0 b c c b 0
0 b c c b a
0 b c c b b
0 b c c b c
0 b c c c 0
0 b c c c a
0 b c c c b
0 b c c c c
0 c 0 0 0 0
0 c 0 0 0 a
0 c 0 0 0 b
0 c 0 0 0 c
0 c 0 0 a 0
0 c 0 0 a a
0 c 0 0 a b
0 c 0 0 a c
0 c 0 0 b 0
0 c 0 0 b a
0 c 0 0 b b
0 c 0 0 b c
0 c 0 0 c 0
0 c 0 0 c a
0 c 0 0 c b
0 c 0 0 c c
0 c 0 a 0 0
0 c 0 a 0 a
0 c 0 a 0 b
0 c 0 a 0 c
0 c 0 a a 0
0 c 0 a a a
0 c 0 a a b
0 c 0 a a c
0 c 0 a b 0
0 c 0 a b a
0 c 0 a b b
0 c 0 a b c
0 c 0 a c 0
0 c 0 a c a
0 c 0 a c b
0 c 0 a c c
0 c 0 b 0 0
0 c 0 b 0 a
0 c 0 b 0 b
0 c 0 b 0 c
0 c 0 b a 0
0 c 0 b a a
0 c 0 b a b
0 c 0 b a c
0 c 0 b b 0
0 c 0 b b a
0 c 0 b b b
0 c 0 b b c
0 c 0 b c 0
0 c 0 b c a
0 c 0 b c b
0 c 0 b c c
0 c 0 c 0 0
0 c 0 c 0 a
0 c 0 c 0 b
0 c 0 c 0 c
0 c 0 c a 0
0 c 0 c a a
0 c 0 c a b
0 c 0 c a c
0 c 0 c b 0
0 c 0 c b a
0 c 0 c b b
0 c 0 c b c
0 c 0 c c 0
0 c 0 c c a
0 c 0 c c b
0 c 0 c c c
0 c a 0 0 0
0 c a 0 0 a
0 c a 0 0 b
0 c a 0 0 c
0 c a 0 a 0
0 c a 0 a a
0 c a 0 a b
0 c a 0 a c
0 c a 0 b 0
0 c a 0 b a
0 c a 0 b b
0 c a 0 b c
0 c a 0 c 0
0 c a 0 c a
0 c a 0 c b
0 c a 0 c c
0 c a a 0 0
0 c a a 0 a
0 c a a 0 b
0 c a a 0 c
0 c a a a 0
0 c a a a a
0 c a a a b
0 c a a a c
0 c a a b 0
0 c a a b a
0 c a a b b
0 c a a b c
0 c a a c 0
0 c a a c a
0 c a a c b
0 c a a c c
0 c a b 0 0
0 c a b 0 a
0 c a b 0 b
0 c a b 0 c
0 c a b a 0
0 c a b a a
0 c a b a b
0 c a b a c
0 c a b b 0
0 c a b b a
0 c a b b b
0 c a b b c
0 c a b c 0
0 c a b c a
0 c a b c b
0 c a b c c
0 c a c 0 0
0 c a c 0 a
0 c a c 0 b
0 c a c 0 c
0 c a c a 0
0 c a c a a
0 c a c a b
0 c a c a c
0 c a c b 0
0 c a c b a
0 c a c b b
0 c a c b c
0 c a c c 0
0 c a c c a
0 c a c c b
0 c a c c c
0 c b 0 0 0
0 c b 0 0 a
0 c b 0 0 b
0 c b 0 0 c
0 c b 0 a 0
0 c b 0 a a
0 c b 0 a b
0 c b 0 a c
0 c b 0 b 0
0 c b 0 b a
0 c b 0 b b
0 c b 0 b c
0 c b 0 c 0
0 c b 0 c a
0 c b 0 c b
0 c b 0 c c
0 c b a 0 0
0 c b a 0 a
0 c b a 0 b
0 c b a 0 c
0 c b a a 0
0 c b a a a
0 c b a a b
0 c b a a c
0 c b a b 0
0 c b a b a
0 c b a b b
0 c b a b c
0 c b a c 0
0 c b a c a
0 c b a c b
0 c b a c c
0 c b b 0 0
0 c b b 0 a
0 c b b 0 b
0 c b b 0 c
0 c b b a 0
0 c b b a a
0 c b b a b
0 c b b a c
0 c b b b 0
0 c b b b a
0 c b b b b
0 c b b b c
0 c b b c 0
0 c b b c a
0 c b b c b
0 c b b c c
0 c b c 0 0
0 c b c 0 a
0 c b c 0 b
0 c b c 0 c
0 c b c a 0
0 c b c a a
0 c b c a b
0 c b c a c
0 c b c b 0
0 c b c b a
0 c b c b b
0 c b c b c
0 c b c c 0
0 c b c c a
0 c b c c b
0 c b c c c
0 c c 0 0 0
0 c c 0 0 a
0 c c 0 0 b
0 c c 0 0 c
0 c c 0 a 0
0 c c 0 a a
0 c c 0 a b
0 c c 0 a c
0 c c 0 b 0
0 c c 0 b a
0 c c 0 b b
0 c c 0 b c
0 c c 0 c 0
0 c c 0 c a
0 c c 0 c b
0 c c 0 c c
0 c c a 0 0
0 c c a 0 a
0 c c a 0 b
0 c c a 0 c
0 c c a a 0
0 c c a a a
0 c c a a b
0 c c a a c
0 c c a b 0
0 c c a b a
0 c c a b b
0 c c a b c
0 c c a c 0
0 c c a c a
0 c c a c b
0 c c a c c
0 c c b 0 0
0 c c b 0 a
0 c c b 0 b
0 c c b 0 c
0 c c b a 0
0 c c b a a
0 c c b a b
0 c c b a c
0 c c b b 0
0 c c b b a
0 c c b b b
0 c c b b c
0 c c b c 0
0 c c b c a
0 c c b c b
0 c c b c c
0 c c c 0 0
0 c c c 0 a
0 c c c 0 b
0 c c c 0 c
0 c c c a 0
0 c c c a a
0 c c c a b
0 c c c a c
0 c c c b 0
0 c c c b a
0 c c c b b
0 c c c b c
0 c c c c 0
0 c c c c a
0 c c c c b
0 c c c c c
Is it a nice code?: No
Generator Matrix-7
a 0 0 0 0 0
b 0 0 0 0 0
0 c 0 0 0 0
0 0 c 0 0 c
0 0 0 c 0 c
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 c
0 0 0 c c c
0 0 c 0 0 c
0 0 c 0 c c
0 0 c c 0 0
0 0 c c c 0
0 c 0 0 0 0
0 c 0 0 c 0
0 c 0 c 0 c
0 c 0 c c c
0 c c 0 0 c
0 c c 0 c c
0 c c c 0 0
0 c c c c 0
b 0 0 0 0 0
b 0 0 0 c 0
b 0 0 c 0 c
b 0 0 c c c
b 0 c 0 0 c
b 0 c 0 c c
b 0 c c 0 0
b 0 c c c 0
b c 0 0 0 0
b c 0 0 c 0
b c 0 c 0 c
b c 0 c c c
b c c 0 0 c
b c c 0 c c
b c c c 0 0
b c c c c 0
a 0 0 0 0 0
a 0 0 0 c 0
a 0 0 c 0 c
a 0 0 c c c
a 0 c 0 0 c
a 0 c 0 c c
a 0 c c 0 0
a 0 c c c 0
a c 0 0 0 0
a c 0 0 c 0
a c 0 c 0 c
a c 0 c c c
a c c 0 0 c
a c c 0 c c
a c c c 0 0
a c c c c 0
c 0 0 0 0 0
c 0 0 0 c 0
c 0 0 c 0 c
c 0 0 c c c
c 0 c 0 0 c
c 0 c 0 c c
c 0 c c 0 0
c 0 c c c 0
c c 0 0 0 0
c c 0 0 c 0
c c 0 c 0 c
c c 0 c c c
c c c 0 0 c
c c c 0 c c
c c c c 0 0
c c c c c 0
dmin: 1
Weight Enumerator: 1x0 + 5x1 + 10x2 + 18x3 + 21x4 + 9x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)5 (X_b)1 + (X_0)4 (X_b)1 (X_c)1 + (X_0)3 (X_b)1 (X_c)2 + (X_0)2 (X_b)1 (X_c)3 + (X_0)3 (X_b)1 (X_c)2 + (X_0)2 (X_b)1 (X_c)3 + (X_0)3 (X_b)1 (X_c)2 + (X_0)2 (X_b)1 (X_c)3 + (X_0)4 (X_b)1 (X_c)1 + (X_0)3 (X_b)1 (X_c)2 + (X_0)2 (X_b)1 (X_c)3 + (X_0)1 (X_b)1 (X_c)4 + (X_0)2 (X_b)1 (X_c)3 + (X_0)1 (X_b)1 (X_c)4 + (X_0)2 (X_b)1 (X_c)3 + (X_0)1 (X_b)1 (X_c)4 + (X_0)5 (X_a)1 + (X_0)4 (X_a)1 (X_c)1 + (X_0)3 (X_a)1 (X_c)2 + (X_0)2 (X_a)1 (X_c)3 + (X_0)3 (X_a)1 (X_c)2 + (X_0)2 (X_a)1 (X_c)3 + (X_0)3 (X_a)1 (X_c)2 + (X_0)2 (X_a)1 (X_c)3 + (X_0)4 (X_a)1 (X_c)1 + (X_0)3 (X_a)1 (X_c)2 + (X_0)2 (X_a)1 (X_c)3 + (X_0)1 (X_a)1 (X_c)4 + (X_0)2 (X_a)1 (X_c)3 + (X_0)1 (X_a)1 (X_c)4 + (X_0)2 (X_a)1 (X_c)3 + (X_0)1 (X_a)1 (X_c)4 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 a a 0
0 0 0 a a a
0 0 0 a a b
0 0 0 a a c
0 0 0 a b 0
0 0 0 a b a
0 0 0 a b b
0 0 0 a b c
0 0 0 a c 0
0 0 0 a c a
0 0 0 a c b
0 0 0 a c c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 b a 0
0 0 0 b a a
0 0 0 b a b
0 0 0 b a c
0 0 0 b b 0
0 0 0 b b a
0 0 0 b b b
0 0 0 b b c
0 0 0 b c 0
0 0 0 b c a
0 0 0 b c b
0 0 0 b c c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c
0 0 0 c a 0
0 0 0 c a a
0 0 0 c a b
0 0 0 c a c
0 0 0 c b 0
0 0 0 c b a
0 0 0 c b b
0 0 0 c b c
0 0 0 c c 0
0 0 0 c c a
0 0 0 c c b
0 0 0 c c c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 a 0 a 0
0 0 a 0 a a
0 0 a 0 a b
0 0 a 0 a c
0 0 a 0 b 0
0 0 a 0 b a
0 0 a 0 b b
0 0 a 0 b c
0 0 a 0 c 0
0 0 a 0 c a
0 0 a 0 c b
0 0 a 0 c c
0 0 a a 0 0
0 0 a a 0 a
0 0 a a 0 b
0 0 a a 0 c
0 0 a a a 0
0 0 a a a a
0 0 a a a b
0 0 a a a c
0 0 a a b 0
0 0 a a b a
0 0 a a b b
0 0 a a b c
0 0 a a c 0
0 0 a a c a
0 0 a a c b
0 0 a a c c
0 0 a b 0 0
0 0 a b 0 a
0 0 a b 0 b
0 0 a b 0 c
0 0 a b a 0
0 0 a b a a
0 0 a b a b
0 0 a b a c
0 0 a b b 0
0 0 a b b a
0 0 a b b b
0 0 a b b c
0 0 a b c 0
0 0 a b c a
0 0 a b c b
0 0 a b c c
0 0 a c 0 0
0 0 a c 0 a
0 0 a c 0 b
0 0 a c 0 c
0 0 a c a 0
0 0 a c a a
0 0 a c a b
0 0 a c a c
0 0 a c b 0
0 0 a c b a
0 0 a c b b
0 0 a c b c
0 0 a c c 0
0 0 a c c a
0 0 a c c b
0 0 a c c c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 b 0 a 0
0 0 b 0 a a
0 0 b 0 a b
0 0 b 0 a c
0 0 b 0 b 0
0 0 b 0 b a
0 0 b 0 b b
0 0 b 0 b c
0 0 b 0 c 0
0 0 b 0 c a
0 0 b 0 c b
0 0 b 0 c c
0 0 b a 0 0
0 0 b a 0 a
0 0 b a 0 b
0 0 b a 0 c
0 0 b a a 0
0 0 b a a a
0 0 b a a b
0 0 b a a c
0 0 b a b 0
0 0 b a b a
0 0 b a b b
0 0 b a b c
0 0 b a c 0
0 0 b a c a
0 0 b a c b
0 0 b a c c
0 0 b b 0 0
0 0 b b 0 a
0 0 b b 0 b
0 0 b b 0 c
0 0 b b a 0
0 0 b b a a
0 0 b b a b
0 0 b b a c
0 0 b b b 0
0 0 b b b a
0 0 b b b b
0 0 b b b c
0 0 b b c 0
0 0 b b c a
0 0 b b c b
0 0 b b c c
0 0 b c 0 0
0 0 b c 0 a
0 0 b c 0 b
0 0 b c 0 c
0 0 b c a 0
0 0 b c a a
0 0 b c a b
0 0 b c a c
0 0 b c b 0
0 0 b c b a
0 0 b c b b
0 0 b c b c
0 0 b c c 0
0 0 b c c a
0 0 b c c b
0 0 b c c c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c
0 0 c 0 a 0
0 0 c 0 a a
0 0 c 0 a b
0 0 c 0 a c
0 0 c 0 b 0
0 0 c 0 b a
0 0 c 0 b b
0 0 c 0 b c
0 0 c 0 c 0
0 0 c 0 c a
0 0 c 0 c b
0 0 c 0 c c
0 0 c a 0 0
0 0 c a 0 a
0 0 c a 0 b
0 0 c a 0 c
0 0 c a a 0
0 0 c a a a
0 0 c a a b
0 0 c a a c
0 0 c a b 0
0 0 c a b a
0 0 c a b b
0 0 c a b c
0 0 c a c 0
0 0 c a c a
0 0 c a c b
0 0 c a c c
0 0 c b 0 0
0 0 c b 0 a
0 0 c b 0 b
0 0 c b 0 c
0 0 c b a 0
0 0 c b a a
0 0 c b a b
0 0 c b a c
0 0 c b b 0
0 0 c b b a
0 0 c b b b
0 0 c b b c
0 0 c b c 0
0 0 c b c a
0 0 c b c b
0 0 c b c c
0 0 c c 0 0
0 0 c c 0 a
0 0 c c 0 b
0 0 c c 0 c
0 0 c c a 0
0 0 c c a a
0 0 c c a b
0 0 c c a c
0 0 c c b 0
0 0 c c b a
0 0 c c b b
0 0 c c b c
0 0 c c c 0
0 0 c c c a
0 0 c c c b
0 0 c c c c
0 a 0 0 0 0
0 a 0 0 0 a
0 a 0 0 0 b
0 a 0 0 0 c
0 a 0 0 a 0
0 a 0 0 a a
0 a 0 0 a b
0 a 0 0 a c
0 a 0 0 b 0
0 a 0 0 b a
0 a 0 0 b b
0 a 0 0 b c
0 a 0 0 c 0
0 a 0 0 c a
0 a 0 0 c b
0 a 0 0 c c
0 a 0 a 0 0
0 a 0 a 0 a
0 a 0 a 0 b
0 a 0 a 0 c
0 a 0 a a 0
0 a 0 a a a
0 a 0 a a b
0 a 0 a a c
0 a 0 a b 0
0 a 0 a b a
0 a 0 a b b
0 a 0 a b c
0 a 0 a c 0
0 a 0 a c a
0 a 0 a c b
0 a 0 a c c
0 a 0 b 0 0
0 a 0 b 0 a
0 a 0 b 0 b
0 a 0 b 0 c
0 a 0 b a 0
0 a 0 b a a
0 a 0 b a b
0 a 0 b a c
0 a 0 b b 0
0 a 0 b b a
0 a 0 b b b
0 a 0 b b c
0 a 0 b c 0
0 a 0 b c a
0 a 0 b c b
0 a 0 b c c
0 a 0 c 0 0
0 a 0 c 0 a
0 a 0 c 0 b
0 a 0 c 0 c
0 a 0 c a 0
0 a 0 c a a
0 a 0 c a b
0 a 0 c a c
0 a 0 c b 0
0 a 0 c b a
0 a 0 c b b
0 a 0 c b c
0 a 0 c c 0
0 a 0 c c a
0 a 0 c c b
0 a 0 c c c
0 a a 0 0 0
0 a a 0 0 a
0 a a 0 0 b
0 a a 0 0 c
0 a a 0 a 0
0 a a 0 a a
0 a a 0 a b
0 a a 0 a c
0 a a 0 b 0
0 a a 0 b a
0 a a 0 b b
0 a a 0 b c
0 a a 0 c 0
0 a a 0 c a
0 a a 0 c b
0 a a 0 c c
0 a a a 0 0
0 a a a 0 a
0 a a a 0 b
0 a a a 0 c
0 a a a a 0
0 a a a a a
0 a a a a b
0 a a a a c
0 a a a b 0
0 a a a b a
0 a a a b b
0 a a a b c
0 a a a c 0
0 a a a c a
0 a a a c b
0 a a a c c
0 a a b 0 0
0 a a b 0 a
0 a a b 0 b
0 a a b 0 c
0 a a b a 0
0 a a b a a
0 a a b a b
0 a a b a c
0 a a b b 0
0 a a b b a
0 a a b b b
0 a a b b c
0 a a b c 0
0 a a b c a
0 a a b c b
0 a a b c c
0 a a c 0 0
0 a a c 0 a
0 a a c 0 b
0 a a c 0 c
0 a a c a 0
0 a a c a a
0 a a c a b
0 a a c a c
0 a a c b 0
0 a a c b a
0 a a c b b
0 a a c b c
0 a a c c 0
0 a a c c a
0 a a c c b
0 a a c c c
0 a b 0 0 0
0 a b 0 0 a
0 a b 0 0 b
0 a b 0 0 c
0 a b 0 a 0
0 a b 0 a a
0 a b 0 a b
0 a b 0 a c
0 a b 0 b 0
0 a b 0 b a
0 a b 0 b b
0 a b 0 b c
0 a b 0 c 0
0 a b 0 c a
0 a b 0 c b
0 a b 0 c c
0 a b a 0 0
0 a b a 0 a
0 a b a 0 b
0 a b a 0 c
0 a b a a 0
0 a b a a a
0 a b a a b
0 a b a a c
0 a b a b 0
0 a b a b a
0 a b a b b
0 a b a b c
0 a b a c 0
0 a b a c a
0 a b a c b
0 a b a c c
0 a b b 0 0
0 a b b 0 a
0 a b b 0 b
0 a b b 0 c
0 a b b a 0
0 a b b a a
0 a b b a b
0 a b b a c
0 a b b b 0
0 a b b b a
0 a b b b b
0 a b b b c
0 a b b c 0
0 a b b c a
0 a b b c b
0 a b b c c
0 a b c 0 0
0 a b c 0 a
0 a b c 0 b
0 a b c 0 c
0 a b c a 0
0 a b c a a
0 a b c a b
0 a b c a c
0 a b c b 0
0 a b c b a
0 a b c b b
0 a b c b c
0 a b c c 0
0 a b c c a
0 a b c c b
0 a b c c c
0 a c 0 0 0
0 a c 0 0 a
0 a c 0 0 b
0 a c 0 0 c
0 a c 0 a 0
0 a c 0 a a
0 a c 0 a b
0 a c 0 a c
0 a c 0 b 0
0 a c 0 b a
0 a c 0 b b
0 a c 0 b c
0 a c 0 c 0
0 a c 0 c a
0 a c 0 c b
0 a c 0 c c
0 a c a 0 0
0 a c a 0 a
0 a c a 0 b
0 a c a 0 c
0 a c a a 0
0 a c a a a
0 a c a a b
0 a c a a c
0 a c a b 0
0 a c a b a
0 a c a b b
0 a c a b c
0 a c a c 0
0 a c a c a
0 a c a c b
0 a c a c c
0 a c b 0 0
0 a c b 0 a
0 a c b 0 b
0 a c b 0 c
0 a c b a 0
0 a c b a a
0 a c b a b
0 a c b a c
0 a c b b 0
0 a c b b a
0 a c b b b
0 a c b b c
0 a c b c 0
0 a c b c a
0 a c b c b
0 a c b c c
0 a c c 0 0
0 a c c 0 a
0 a c c 0 b
0 a c c 0 c
0 a c c a 0
0 a c c a a
0 a c c a b
0 a c c a c
0 a c c b 0
0 a c c b a
0 a c c b b
0 a c c b c
0 a c c c 0
0 a c c c a
0 a c c c b
0 a c c c c
0 b 0 0 0 0
0 b 0 0 0 a
0 b 0 0 0 b
0 b 0 0 0 c
0 b 0 0 a 0
0 b 0 0 a a
0 b 0 0 a b
0 b 0 0 a c
0 b 0 0 b 0
0 b 0 0 b a
0 b 0 0 b b
0 b 0 0 b c
0 b 0 0 c 0
0 b 0 0 c a
0 b 0 0 c b
0 b 0 0 c c
0 b 0 a 0 0
0 b 0 a 0 a
0 b 0 a 0 b
0 b 0 a 0 c
0 b 0 a a 0
0 b 0 a a a
0 b 0 a a b
0 b 0 a a c
0 b 0 a b 0
0 b 0 a b a
0 b 0 a b b
0 b 0 a b c
0 b 0 a c 0
0 b 0 a c a
0 b 0 a c b
0 b 0 a c c
0 b 0 b 0 0
0 b 0 b 0 a
0 b 0 b 0 b
0 b 0 b 0 c
0 b 0 b a 0
0 b 0 b a a
0 b 0 b a b
0 b 0 b a c
0 b 0 b b 0
0 b 0 b b a
0 b 0 b b b
0 b 0 b b c
0 b 0 b c 0
0 b 0 b c a
0 b 0 b c b
0 b 0 b c c
0 b 0 c 0 0
0 b 0 c 0 a
0 b 0 c 0 b
0 b 0 c 0 c
0 b 0 c a 0
0 b 0 c a a
0 b 0 c a b
0 b 0 c a c
0 b 0 c b 0
0 b 0 c b a
0 b 0 c b b
0 b 0 c b c
0 b 0 c c 0
0 b 0 c c a
0 b 0 c c b
0 b 0 c c c
0 b a 0 0 0
0 b a 0 0 a
0 b a 0 0 b
0 b a 0 0 c
0 b a 0 a 0
0 b a 0 a a
0 b a 0 a b
0 b a 0 a c
0 b a 0 b 0
0 b a 0 b a
0 b a 0 b b
0 b a 0 b c
0 b a 0 c 0
0 b a 0 c a
0 b a 0 c b
0 b a 0 c c
0 b a a 0 0
0 b a a 0 a
0 b a a 0 b
0 b a a 0 c
0 b a a a 0
0 b a a a a
0 b a a a b
0 b a a a c
0 b a a b 0
0 b a a b a
0 b a a b b
0 b a a b c
0 b a a c 0
0 b a a c a
0 b a a c b
0 b a a c c
0 b a b 0 0
0 b a b 0 a
0 b a b 0 b
0 b a b 0 c
0 b a b a 0
0 b a b a a
0 b a b a b
0 b a b a c
0 b a b b 0
0 b a b b a
0 b a b b b
0 b a b b c
0 b a b c 0
0 b a b c a
0 b a b c b
0 b a b c c
0 b a c 0 0
0 b a c 0 a
0 b a c 0 b
0 b a c 0 c
0 b a c a 0
0 b a c a a
0 b a c a b
0 b a c a c
0 b a c b 0
0 b a c b a
0 b a c b b
0 b a c b c
0 b a c c 0
0 b a c c a
0 b a c c b
0 b a c c c
0 b b 0 0 0
0 b b 0 0 a
0 b b 0 0 b
0 b b 0 0 c
0 b b 0 a 0
0 b b 0 a a
0 b b 0 a b
0 b b 0 a c
0 b b 0 b 0
0 b b 0 b a
0 b b 0 b b
0 b b 0 b c
0 b b 0 c 0
0 b b 0 c a
0 b b 0 c b
0 b b 0 c c
0 b b a 0 0
0 b b a 0 a
0 b b a 0 b
0 b b a 0 c
0 b b a a 0
0 b b a a a
0 b b a a b
0 b b a a c
0 b b a b 0
0 b b a b a
0 b b a b b
0 b b a b c
0 b b a c 0
0 b b a c a
0 b b a c b
0 b b a c c
0 b b b 0 0
0 b b b 0 a
0 b b b 0 b
0 b b b 0 c
0 b b b a 0
0 b b b a a
0 b b b a b
0 b b b a c
0 b b b b 0
0 b b b b a
0 b b b b b
0 b b b b c
0 b b b c 0
0 b b b c a
0 b b b c b
0 b b b c c
0 b b c 0 0
0 b b c 0 a
0 b b c 0 b
0 b b c 0 c
0 b b c a 0
0 b b c a a
0 b b c a b
0 b b c a c
0 b b c b 0
0 b b c b a
0 b b c b b
0 b b c b c
0 b b c c 0
0 b b c c a
0 b b c c b
0 b b c c c
0 b c 0 0 0
0 b c 0 0 a
0 b c 0 0 b
0 b c 0 0 c
0 b c 0 a 0
0 b c 0 a a
0 b c 0 a b
0 b c 0 a c
0 b c 0 b 0
0 b c 0 b a
0 b c 0 b b
0 b c 0 b c
0 b c 0 c 0
0 b c 0 c a
0 b c 0 c b
0 b c 0 c c
0 b c a 0 0
0 b c a 0 a
0 b c a 0 b
0 b c a 0 c
0 b c a a 0
0 b c a a a
0 b c a a b
0 b c a a c
0 b c a b 0
0 b c a b a
0 b c a b b
0 b c a b c
0 b c a c 0
0 b c a c a
0 b c a c b
0 b c a c c
0 b c b 0 0
0 b c b 0 a
0 b c b 0 b
0 b c b 0 c
0 b c b a 0
0 b c b a a
0 b c b a b
0 b c b a c
0 b c b b 0
0 b c b b a
0 b c b b b
0 b c b b c
0 b c b c 0
0 b c b c a
0 b c b c b
0 b c b c c
0 b c c 0 0
0 b c c 0 a
0 b c c 0 b
0 b c c 0 c
0 b c c a 0
0 b c c a a
0 b c c a b
0 b c c a c
0 b c c b 0
0 b c c b a
0 b c c b b
0 b c c b c
0 b c c c 0
0 b c c c a
0 b c c c b
0 b c c c c
0 c 0 0 0 0
0 c 0 0 0 a
0 c 0 0 0 b
0 c 0 0 0 c
0 c 0 0 a 0
0 c 0 0 a a
0 c 0 0 a b
0 c 0 0 a c
0 c 0 0 b 0
0 c 0 0 b a
0 c 0 0 b b
0 c 0 0 b c
0 c 0 0 c 0
0 c 0 0 c a
0 c 0 0 c b
0 c 0 0 c c
0 c 0 a 0 0
0 c 0 a 0 a
0 c 0 a 0 b
0 c 0 a 0 c
0 c 0 a a 0
0 c 0 a a a
0 c 0 a a b
0 c 0 a a c
0 c 0 a b 0
0 c 0 a b a
0 c 0 a b b
0 c 0 a b c
0 c 0 a c 0
0 c 0 a c a
0 c 0 a c b
0 c 0 a c c
0 c 0 b 0 0
0 c 0 b 0 a
0 c 0 b 0 b
0 c 0 b 0 c
0 c 0 b a 0
0 c 0 b a a
0 c 0 b a b
0 c 0 b a c
0 c 0 b b 0
0 c 0 b b a
0 c 0 b b b
0 c 0 b b c
0 c 0 b c 0
0 c 0 b c a
0 c 0 b c b
0 c 0 b c c
0 c 0 c 0 0
0 c 0 c 0 a
0 c 0 c 0 b
0 c 0 c 0 c
0 c 0 c a 0
0 c 0 c a a
0 c 0 c a b
0 c 0 c a c
0 c 0 c b 0
0 c 0 c b a
0 c 0 c b b
0 c 0 c b c
0 c 0 c c 0
0 c 0 c c a
0 c 0 c c b
0 c 0 c c c
0 c a 0 0 0
0 c a 0 0 a
0 c a 0 0 b
0 c a 0 0 c
0 c a 0 a 0
0 c a 0 a a
0 c a 0 a b
0 c a 0 a c
0 c a 0 b 0
0 c a 0 b a
0 c a 0 b b
0 c a 0 b c
0 c a 0 c 0
0 c a 0 c a
0 c a 0 c b
0 c a 0 c c
0 c a a 0 0
0 c a a 0 a
0 c a a 0 b
0 c a a 0 c
0 c a a a 0
0 c a a a a
0 c a a a b
0 c a a a c
0 c a a b 0
0 c a a b a
0 c a a b b
0 c a a b c
0 c a a c 0
0 c a a c a
0 c a a c b
0 c a a c c
0 c a b 0 0
0 c a b 0 a
0 c a b 0 b
0 c a b 0 c
0 c a b a 0
0 c a b a a
0 c a b a b
0 c a b a c
0 c a b b 0
0 c a b b a
0 c a b b b
0 c a b b c
0 c a b c 0
0 c a b c a
0 c a b c b
0 c a b c c
0 c a c 0 0
0 c a c 0 a
0 c a c 0 b
0 c a c 0 c
0 c a c a 0
0 c a c a a
0 c a c a b
0 c a c a c
0 c a c b 0
0 c a c b a
0 c a c b b
0 c a c b c
0 c a c c 0
0 c a c c a
0 c a c c b
0 c a c c c
0 c b 0 0 0
0 c b 0 0 a
0 c b 0 0 b
0 c b 0 0 c
0 c b 0 a 0
0 c b 0 a a
0 c b 0 a b
0 c b 0 a c
0 c b 0 b 0
0 c b 0 b a
0 c b 0 b b
0 c b 0 b c
0 c b 0 c 0
0 c b 0 c a
0 c b 0 c b
0 c b 0 c c
0 c b a 0 0
0 c b a 0 a
0 c b a 0 b
0 c b a 0 c
0 c b a a 0
0 c b a a a
0 c b a a b
0 c b a a c
0 c b a b 0
0 c b a b a
0 c b a b b
0 c b a b c
0 c b a c 0
0 c b a c a
0 c b a c b
0 c b a c c
0 c b b 0 0
0 c b b 0 a
0 c b b 0 b
0 c b b 0 c
0 c b b a 0
0 c b b a a
0 c b b a b
0 c b b a c
0 c b b b 0
0 c b b b a
0 c b b b b
0 c b b b c
0 c b b c 0
0 c b b c a
0 c b b c b
0 c b b c c
0 c b c 0 0
0 c b c 0 a
0 c b c 0 b
0 c b c 0 c
0 c b c a 0
0 c b c a a
0 c b c a b
0 c b c a c
0 c b c b 0
0 c b c b a
0 c b c b b
0 c b c b c
0 c b c c 0
0 c b c c a
0 c b c c b
0 c b c c c
0 c c 0 0 0
0 c c 0 0 a
0 c c 0 0 b
0 c c 0 0 c
0 c c 0 a 0
0 c c 0 a a
0 c c 0 a b
0 c c 0 a c
0 c c 0 b 0
0 c c 0 b a
0 c c 0 b b
0 c c 0 b c
0 c c 0 c 0
0 c c 0 c a
0 c c 0 c b
0 c c 0 c c
0 c c a 0 0
0 c c a 0 a
0 c c a 0 b
0 c c a 0 c
0 c c a a 0
0 c c a a a
0 c c a a b
0 c c a a c
0 c c a b 0
0 c c a b a
0 c c a b b
0 c c a b c
0 c c a c 0
0 c c a c a
0 c c a c b
0 c c a c c
0 c c b 0 0
0 c c b 0 a
0 c c b 0 b
0 c c b 0 c
0 c c b a 0
0 c c b a a
0 c c b a b
0 c c b a c
0 c c b b 0
0 c c b b a
0 c c b b b
0 c c b b c
0 c c b c 0
0 c c b c a
0 c c b c b
0 c c b c c
0 c c c 0 0
0 c c c 0 a
0 c c c 0 b
0 c c c 0 c
0 c c c a 0
0 c c c a a
0 c c c a b
0 c c c a c
0 c c c b 0
0 c c c b a
0 c c c b b
0 c c c b c
0 c c c c 0
0 c c c c a
0 c c c c b
0 c c c c c
Is it a nice code?: No
Generator Matrix-8
a 0 0 0 0 0
b 0 0 0 0 0
0 c 0 0 0 0
0 0 c 0 0 c
0 0 0 c 0 c
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 c
0 0 0 c c 0
0 0 c 0 0 c
0 0 c 0 c 0
0 0 c c 0 0
0 0 c c c c
0 c 0 0 0 0
0 c 0 0 c c
0 c 0 c 0 c
0 c 0 c c 0
0 c c 0 0 c
0 c c 0 c 0
0 c c c 0 0
0 c c c c c
b 0 0 0 0 0
b 0 0 0 c c
b 0 0 c 0 c
b 0 0 c c 0
b 0 c 0 0 c
b 0 c 0 c 0
b 0 c c 0 0
b 0 c c c c
b c 0 0 0 0
b c 0 0 c c
b c 0 c 0 c
b c 0 c c 0
b c c 0 0 c
b c c 0 c 0
b c c c 0 0
b c c c c c
a 0 0 0 0 0
a 0 0 0 c c
a 0 0 c 0 c
a 0 0 c c 0
a 0 c 0 0 c
a 0 c 0 c 0
a 0 c c 0 0
a 0 c c c c
a c 0 0 0 0
a c 0 0 c c
a c 0 c 0 c
a c 0 c c 0
a c c 0 0 c
a c c 0 c 0
a c c c 0 0
a c c c c c
c 0 0 0 0 0
c 0 0 0 c c
c 0 0 c 0 c
c 0 0 c c 0
c 0 c 0 0 c
c 0 c 0 c 0
c 0 c c 0 0
c 0 c c c c
c c 0 0 0 0
c c 0 0 c c
c c 0 c 0 c
c c 0 c c 0
c c c 0 0 c
c c c 0 c 0
c c c c 0 0
c c c c c c
dmin: 1
Weight Enumerator: 1x0 + 4x1 + 9x2 + 24x3 + 19x4 + 4x5 + 3x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)5 (X_b)1 + (X_0)3 (X_b)1 (X_c)2 + (X_0)3 (X_b)1 (X_c)2 + (X_0)3 (X_b)1 (X_c)2 + (X_0)3 (X_b)1 (X_c)2 + (X_0)3 (X_b)1 (X_c)2 + (X_0)3 (X_b)1 (X_c)2 + (X_0)1 (X_b)1 (X_c)4 + (X_0)4 (X_b)1 (X_c)1 + (X_0)2 (X_b)1 (X_c)3 + (X_0)2 (X_b)1 (X_c)3 + (X_0)2 (X_b)1 (X_c)3 + (X_0)2 (X_b)1 (X_c)3 + (X_0)2 (X_b)1 (X_c)3 + (X_0)2 (X_b)1 (X_c)3 + (X_b)1 (X_c)5 + (X_0)5 (X_a)1 + (X_0)3 (X_a)1 (X_c)2 + (X_0)3 (X_a)1 (X_c)2 + (X_0)3 (X_a)1 (X_c)2 + (X_0)3 (X_a)1 (X_c)2 + (X_0)3 (X_a)1 (X_c)2 + (X_0)3 (X_a)1 (X_c)2 + (X_0)1 (X_a)1 (X_c)4 + (X_0)4 (X_a)1 (X_c)1 + (X_0)2 (X_a)1 (X_c)3 + (X_0)2 (X_a)1 (X_c)3 + (X_0)2 (X_a)1 (X_c)3 + (X_0)2 (X_a)1 (X_c)3 + (X_0)2 (X_a)1 (X_c)3 + (X_0)2 (X_a)1 (X_c)3 + (X_a)1 (X_c)5 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_c)6
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 a a 0
0 0 0 a a a
0 0 0 a a b
0 0 0 a a c
0 0 0 a b 0
0 0 0 a b a
0 0 0 a b b
0 0 0 a b c
0 0 0 a c 0
0 0 0 a c a
0 0 0 a c b
0 0 0 a c c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 b a 0
0 0 0 b a a
0 0 0 b a b
0 0 0 b a c
0 0 0 b b 0
0 0 0 b b a
0 0 0 b b b
0 0 0 b b c
0 0 0 b c 0
0 0 0 b c a
0 0 0 b c b
0 0 0 b c c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c
0 0 0 c a 0
0 0 0 c a a
0 0 0 c a b
0 0 0 c a c
0 0 0 c b 0
0 0 0 c b a
0 0 0 c b b
0 0 0 c b c
0 0 0 c c 0
0 0 0 c c a
0 0 0 c c b
0 0 0 c c c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 a 0 a 0
0 0 a 0 a a
0 0 a 0 a b
0 0 a 0 a c
0 0 a 0 b 0
0 0 a 0 b a
0 0 a 0 b b
0 0 a 0 b c
0 0 a 0 c 0
0 0 a 0 c a
0 0 a 0 c b
0 0 a 0 c c
0 0 a a 0 0
0 0 a a 0 a
0 0 a a 0 b
0 0 a a 0 c
0 0 a a a 0
0 0 a a a a
0 0 a a a b
0 0 a a a c
0 0 a a b 0
0 0 a a b a
0 0 a a b b
0 0 a a b c
0 0 a a c 0
0 0 a a c a
0 0 a a c b
0 0 a a c c
0 0 a b 0 0
0 0 a b 0 a
0 0 a b 0 b
0 0 a b 0 c
0 0 a b a 0
0 0 a b a a
0 0 a b a b
0 0 a b a c
0 0 a b b 0
0 0 a b b a
0 0 a b b b
0 0 a b b c
0 0 a b c 0
0 0 a b c a
0 0 a b c b
0 0 a b c c
0 0 a c 0 0
0 0 a c 0 a
0 0 a c 0 b
0 0 a c 0 c
0 0 a c a 0
0 0 a c a a
0 0 a c a b
0 0 a c a c
0 0 a c b 0
0 0 a c b a
0 0 a c b b
0 0 a c b c
0 0 a c c 0
0 0 a c c a
0 0 a c c b
0 0 a c c c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 b 0 a 0
0 0 b 0 a a
0 0 b 0 a b
0 0 b 0 a c
0 0 b 0 b 0
0 0 b 0 b a
0 0 b 0 b b
0 0 b 0 b c
0 0 b 0 c 0
0 0 b 0 c a
0 0 b 0 c b
0 0 b 0 c c
0 0 b a 0 0
0 0 b a 0 a
0 0 b a 0 b
0 0 b a 0 c
0 0 b a a 0
0 0 b a a a
0 0 b a a b
0 0 b a a c
0 0 b a b 0
0 0 b a b a
0 0 b a b b
0 0 b a b c
0 0 b a c 0
0 0 b a c a
0 0 b a c b
0 0 b a c c
0 0 b b 0 0
0 0 b b 0 a
0 0 b b 0 b
0 0 b b 0 c
0 0 b b a 0
0 0 b b a a
0 0 b b a b
0 0 b b a c
0 0 b b b 0
0 0 b b b a
0 0 b b b b
0 0 b b b c
0 0 b b c 0
0 0 b b c a
0 0 b b c b
0 0 b b c c
0 0 b c 0 0
0 0 b c 0 a
0 0 b c 0 b
0 0 b c 0 c
0 0 b c a 0
0 0 b c a a
0 0 b c a b
0 0 b c a c
0 0 b c b 0
0 0 b c b a
0 0 b c b b
0 0 b c b c
0 0 b c c 0
0 0 b c c a
0 0 b c c b
0 0 b c c c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c
0 0 c 0 a 0
0 0 c 0 a a
0 0 c 0 a b
0 0 c 0 a c
0 0 c 0 b 0
0 0 c 0 b a
0 0 c 0 b b
0 0 c 0 b c
0 0 c 0 c 0
0 0 c 0 c a
0 0 c 0 c b
0 0 c 0 c c
0 0 c a 0 0
0 0 c a 0 a
0 0 c a 0 b
0 0 c a 0 c
0 0 c a a 0
0 0 c a a a
0 0 c a a b
0 0 c a a c
0 0 c a b 0
0 0 c a b a
0 0 c a b b
0 0 c a b c
0 0 c a c 0
0 0 c a c a
0 0 c a c b
0 0 c a c c
0 0 c b 0 0
0 0 c b 0 a
0 0 c b 0 b
0 0 c b 0 c
0 0 c b a 0
0 0 c b a a
0 0 c b a b
0 0 c b a c
0 0 c b b 0
0 0 c b b a
0 0 c b b b
0 0 c b b c
0 0 c b c 0
0 0 c b c a
0 0 c b c b
0 0 c b c c
0 0 c c 0 0
0 0 c c 0 a
0 0 c c 0 b
0 0 c c 0 c
0 0 c c a 0
0 0 c c a a
0 0 c c a b
0 0 c c a c
0 0 c c b 0
0 0 c c b a
0 0 c c b b
0 0 c c b c
0 0 c c c 0
0 0 c c c a
0 0 c c c b
0 0 c c c c
0 a 0 0 0 0
0 a 0 0 0 a
0 a 0 0 0 b
0 a 0 0 0 c
0 a 0 0 a 0
0 a 0 0 a a
0 a 0 0 a b
0 a 0 0 a c
0 a 0 0 b 0
0 a 0 0 b a
0 a 0 0 b b
0 a 0 0 b c
0 a 0 0 c 0
0 a 0 0 c a
0 a 0 0 c b
0 a 0 0 c c
0 a 0 a 0 0
0 a 0 a 0 a
0 a 0 a 0 b
0 a 0 a 0 c
0 a 0 a a 0
0 a 0 a a a
0 a 0 a a b
0 a 0 a a c
0 a 0 a b 0
0 a 0 a b a
0 a 0 a b b
0 a 0 a b c
0 a 0 a c 0
0 a 0 a c a
0 a 0 a c b
0 a 0 a c c
0 a 0 b 0 0
0 a 0 b 0 a
0 a 0 b 0 b
0 a 0 b 0 c
0 a 0 b a 0
0 a 0 b a a
0 a 0 b a b
0 a 0 b a c
0 a 0 b b 0
0 a 0 b b a
0 a 0 b b b
0 a 0 b b c
0 a 0 b c 0
0 a 0 b c a
0 a 0 b c b
0 a 0 b c c
0 a 0 c 0 0
0 a 0 c 0 a
0 a 0 c 0 b
0 a 0 c 0 c
0 a 0 c a 0
0 a 0 c a a
0 a 0 c a b
0 a 0 c a c
0 a 0 c b 0
0 a 0 c b a
0 a 0 c b b
0 a 0 c b c
0 a 0 c c 0
0 a 0 c c a
0 a 0 c c b
0 a 0 c c c
0 a a 0 0 0
0 a a 0 0 a
0 a a 0 0 b
0 a a 0 0 c
0 a a 0 a 0
0 a a 0 a a
0 a a 0 a b
0 a a 0 a c
0 a a 0 b 0
0 a a 0 b a
0 a a 0 b b
0 a a 0 b c
0 a a 0 c 0
0 a a 0 c a
0 a a 0 c b
0 a a 0 c c
0 a a a 0 0
0 a a a 0 a
0 a a a 0 b
0 a a a 0 c
0 a a a a 0
0 a a a a a
0 a a a a b
0 a a a a c
0 a a a b 0
0 a a a b a
0 a a a b b
0 a a a b c
0 a a a c 0
0 a a a c a
0 a a a c b
0 a a a c c
0 a a b 0 0
0 a a b 0 a
0 a a b 0 b
0 a a b 0 c
0 a a b a 0
0 a a b a a
0 a a b a b
0 a a b a c
0 a a b b 0
0 a a b b a
0 a a b b b
0 a a b b c
0 a a b c 0
0 a a b c a
0 a a b c b
0 a a b c c
0 a a c 0 0
0 a a c 0 a
0 a a c 0 b
0 a a c 0 c
0 a a c a 0
0 a a c a a
0 a a c a b
0 a a c a c
0 a a c b 0
0 a a c b a
0 a a c b b
0 a a c b c
0 a a c c 0
0 a a c c a
0 a a c c b
0 a a c c c
0 a b 0 0 0
0 a b 0 0 a
0 a b 0 0 b
0 a b 0 0 c
0 a b 0 a 0
0 a b 0 a a
0 a b 0 a b
0 a b 0 a c
0 a b 0 b 0
0 a b 0 b a
0 a b 0 b b
0 a b 0 b c
0 a b 0 c 0
0 a b 0 c a
0 a b 0 c b
0 a b 0 c c
0 a b a 0 0
0 a b a 0 a
0 a b a 0 b
0 a b a 0 c
0 a b a a 0
0 a b a a a
0 a b a a b
0 a b a a c
0 a b a b 0
0 a b a b a
0 a b a b b
0 a b a b c
0 a b a c 0
0 a b a c a
0 a b a c b
0 a b a c c
0 a b b 0 0
0 a b b 0 a
0 a b b 0 b
0 a b b 0 c
0 a b b a 0
0 a b b a a
0 a b b a b
0 a b b a c
0 a b b b 0
0 a b b b a
0 a b b b b
0 a b b b c
0 a b b c 0
0 a b b c a
0 a b b c b
0 a b b c c
0 a b c 0 0
0 a b c 0 a
0 a b c 0 b
0 a b c 0 c
0 a b c a 0
0 a b c a a
0 a b c a b
0 a b c a c
0 a b c b 0
0 a b c b a
0 a b c b b
0 a b c b c
0 a b c c 0
0 a b c c a
0 a b c c b
0 a b c c c
0 a c 0 0 0
0 a c 0 0 a
0 a c 0 0 b
0 a c 0 0 c
0 a c 0 a 0
0 a c 0 a a
0 a c 0 a b
0 a c 0 a c
0 a c 0 b 0
0 a c 0 b a
0 a c 0 b b
0 a c 0 b c
0 a c 0 c 0
0 a c 0 c a
0 a c 0 c b
0 a c 0 c c
0 a c a 0 0
0 a c a 0 a
0 a c a 0 b
0 a c a 0 c
0 a c a a 0
0 a c a a a
0 a c a a b
0 a c a a c
0 a c a b 0
0 a c a b a
0 a c a b b
0 a c a b c
0 a c a c 0
0 a c a c a
0 a c a c b
0 a c a c c
0 a c b 0 0
0 a c b 0 a
0 a c b 0 b
0 a c b 0 c
0 a c b a 0
0 a c b a a
0 a c b a b
0 a c b a c
0 a c b b 0
0 a c b b a
0 a c b b b
0 a c b b c
0 a c b c 0
0 a c b c a
0 a c b c b
0 a c b c c
0 a c c 0 0
0 a c c 0 a
0 a c c 0 b
0 a c c 0 c
0 a c c a 0
0 a c c a a
0 a c c a b
0 a c c a c
0 a c c b 0
0 a c c b a
0 a c c b b
0 a c c b c
0 a c c c 0
0 a c c c a
0 a c c c b
0 a c c c c
0 b 0 0 0 0
0 b 0 0 0 a
0 b 0 0 0 b
0 b 0 0 0 c
0 b 0 0 a 0
0 b 0 0 a a
0 b 0 0 a b
0 b 0 0 a c
0 b 0 0 b 0
0 b 0 0 b a
0 b 0 0 b b
0 b 0 0 b c
0 b 0 0 c 0
0 b 0 0 c a
0 b 0 0 c b
0 b 0 0 c c
0 b 0 a 0 0
0 b 0 a 0 a
0 b 0 a 0 b
0 b 0 a 0 c
0 b 0 a a 0
0 b 0 a a a
0 b 0 a a b
0 b 0 a a c
0 b 0 a b 0
0 b 0 a b a
0 b 0 a b b
0 b 0 a b c
0 b 0 a c 0
0 b 0 a c a
0 b 0 a c b
0 b 0 a c c
0 b 0 b 0 0
0 b 0 b 0 a
0 b 0 b 0 b
0 b 0 b 0 c
0 b 0 b a 0
0 b 0 b a a
0 b 0 b a b
0 b 0 b a c
0 b 0 b b 0
0 b 0 b b a
0 b 0 b b b
0 b 0 b b c
0 b 0 b c 0
0 b 0 b c a
0 b 0 b c b
0 b 0 b c c
0 b 0 c 0 0
0 b 0 c 0 a
0 b 0 c 0 b
0 b 0 c 0 c
0 b 0 c a 0
0 b 0 c a a
0 b 0 c a b
0 b 0 c a c
0 b 0 c b 0
0 b 0 c b a
0 b 0 c b b
0 b 0 c b c
0 b 0 c c 0
0 b 0 c c a
0 b 0 c c b
0 b 0 c c c
0 b a 0 0 0
0 b a 0 0 a
0 b a 0 0 b
0 b a 0 0 c
0 b a 0 a 0
0 b a 0 a a
0 b a 0 a b
0 b a 0 a c
0 b a 0 b 0
0 b a 0 b a
0 b a 0 b b
0 b a 0 b c
0 b a 0 c 0
0 b a 0 c a
0 b a 0 c b
0 b a 0 c c
0 b a a 0 0
0 b a a 0 a
0 b a a 0 b
0 b a a 0 c
0 b a a a 0
0 b a a a a
0 b a a a b
0 b a a a c
0 b a a b 0
0 b a a b a
0 b a a b b
0 b a a b c
0 b a a c 0
0 b a a c a
0 b a a c b
0 b a a c c
0 b a b 0 0
0 b a b 0 a
0 b a b 0 b
0 b a b 0 c
0 b a b a 0
0 b a b a a
0 b a b a b
0 b a b a c
0 b a b b 0
0 b a b b a
0 b a b b b
0 b a b b c
0 b a b c 0
0 b a b c a
0 b a b c b
0 b a b c c
0 b a c 0 0
0 b a c 0 a
0 b a c 0 b
0 b a c 0 c
0 b a c a 0
0 b a c a a
0 b a c a b
0 b a c a c
0 b a c b 0
0 b a c b a
0 b a c b b
0 b a c b c
0 b a c c 0
0 b a c c a
0 b a c c b
0 b a c c c
0 b b 0 0 0
0 b b 0 0 a
0 b b 0 0 b
0 b b 0 0 c
0 b b 0 a 0
0 b b 0 a a
0 b b 0 a b
0 b b 0 a c
0 b b 0 b 0
0 b b 0 b a
0 b b 0 b b
0 b b 0 b c
0 b b 0 c 0
0 b b 0 c a
0 b b 0 c b
0 b b 0 c c
0 b b a 0 0
0 b b a 0 a
0 b b a 0 b
0 b b a 0 c
0 b b a a 0
0 b b a a a
0 b b a a b
0 b b a a c
0 b b a b 0
0 b b a b a
0 b b a b b
0 b b a b c
0 b b a c 0
0 b b a c a
0 b b a c b
0 b b a c c
0 b b b 0 0
0 b b b 0 a
0 b b b 0 b
0 b b b 0 c
0 b b b a 0
0 b b b a a
0 b b b a b
0 b b b a c
0 b b b b 0
0 b b b b a
0 b b b b b
0 b b b b c
0 b b b c 0
0 b b b c a
0 b b b c b
0 b b b c c
0 b b c 0 0
0 b b c 0 a
0 b b c 0 b
0 b b c 0 c
0 b b c a 0
0 b b c a a
0 b b c a b
0 b b c a c
0 b b c b 0
0 b b c b a
0 b b c b b
0 b b c b c
0 b b c c 0
0 b b c c a
0 b b c c b
0 b b c c c
0 b c 0 0 0
0 b c 0 0 a
0 b c 0 0 b
0 b c 0 0 c
0 b c 0 a 0
0 b c 0 a a
0 b c 0 a b
0 b c 0 a c
0 b c 0 b 0
0 b c 0 b a
0 b c 0 b b
0 b c 0 b c
0 b c 0 c 0
0 b c 0 c a
0 b c 0 c b
0 b c 0 c c
0 b c a 0 0
0 b c a 0 a
0 b c a 0 b
0 b c a 0 c
0 b c a a 0
0 b c a a a
0 b c a a b
0 b c a a c
0 b c a b 0
0 b c a b a
0 b c a b b
0 b c a b c
0 b c a c 0
0 b c a c a
0 b c a c b
0 b c a c c
0 b c b 0 0
0 b c b 0 a
0 b c b 0 b
0 b c b 0 c
0 b c b a 0
0 b c b a a
0 b c b a b
0 b c b a c
0 b c b b 0
0 b c b b a
0 b c b b b
0 b c b b c
0 b c b c 0
0 b c b c a
0 b c b c b
0 b c b c c
0 b c c 0 0
0 b c c 0 a
0 b c c 0 b
0 b c c 0 c
0 b c c a 0
0 b c c a a
0 b c c a b
0 b c c a c
0 b c c b 0
0 b c c b a
0 b c c b b
0 b c c b c
0 b c c c 0
0 b c c c a
0 b c c c b
0 b c c c c
0 c 0 0 0 0
0 c 0 0 0 a
0 c 0 0 0 b
0 c 0 0 0 c
0 c 0 0 a 0
0 c 0 0 a a
0 c 0 0 a b
0 c 0 0 a c
0 c 0 0 b 0
0 c 0 0 b a
0 c 0 0 b b
0 c 0 0 b c
0 c 0 0 c 0
0 c 0 0 c a
0 c 0 0 c b
0 c 0 0 c c
0 c 0 a 0 0
0 c 0 a 0 a
0 c 0 a 0 b
0 c 0 a 0 c
0 c 0 a a 0
0 c 0 a a a
0 c 0 a a b
0 c 0 a a c
0 c 0 a b 0
0 c 0 a b a
0 c 0 a b b
0 c 0 a b c
0 c 0 a c 0
0 c 0 a c a
0 c 0 a c b
0 c 0 a c c
0 c 0 b 0 0
0 c 0 b 0 a
0 c 0 b 0 b
0 c 0 b 0 c
0 c 0 b a 0
0 c 0 b a a
0 c 0 b a b
0 c 0 b a c
0 c 0 b b 0
0 c 0 b b a
0 c 0 b b b
0 c 0 b b c
0 c 0 b c 0
0 c 0 b c a
0 c 0 b c b
0 c 0 b c c
0 c 0 c 0 0
0 c 0 c 0 a
0 c 0 c 0 b
0 c 0 c 0 c
0 c 0 c a 0
0 c 0 c a a
0 c 0 c a b
0 c 0 c a c
0 c 0 c b 0
0 c 0 c b a
0 c 0 c b b
0 c 0 c b c
0 c 0 c c 0
0 c 0 c c a
0 c 0 c c b
0 c 0 c c c
0 c a 0 0 0
0 c a 0 0 a
0 c a 0 0 b
0 c a 0 0 c
0 c a 0 a 0
0 c a 0 a a
0 c a 0 a b
0 c a 0 a c
0 c a 0 b 0
0 c a 0 b a
0 c a 0 b b
0 c a 0 b c
0 c a 0 c 0
0 c a 0 c a
0 c a 0 c b
0 c a 0 c c
0 c a a 0 0
0 c a a 0 a
0 c a a 0 b
0 c a a 0 c
0 c a a a 0
0 c a a a a
0 c a a a b
0 c a a a c
0 c a a b 0
0 c a a b a
0 c a a b b
0 c a a b c
0 c a a c 0
0 c a a c a
0 c a a c b
0 c a a c c
0 c a b 0 0
0 c a b 0 a
0 c a b 0 b
0 c a b 0 c
0 c a b a 0
0 c a b a a
0 c a b a b
0 c a b a c
0 c a b b 0
0 c a b b a
0 c a b b b
0 c a b b c
0 c a b c 0
0 c a b c a
0 c a b c b
0 c a b c c
0 c a c 0 0
0 c a c 0 a
0 c a c 0 b
0 c a c 0 c
0 c a c a 0
0 c a c a a
0 c a c a b
0 c a c a c
0 c a c b 0
0 c a c b a
0 c a c b b
0 c a c b c
0 c a c c 0
0 c a c c a
0 c a c c b
0 c a c c c
0 c b 0 0 0
0 c b 0 0 a
0 c b 0 0 b
0 c b 0 0 c
0 c b 0 a 0
0 c b 0 a a
0 c b 0 a b
0 c b 0 a c
0 c b 0 b 0
0 c b 0 b a
0 c b 0 b b
0 c b 0 b c
0 c b 0 c 0
0 c b 0 c a
0 c b 0 c b
0 c b 0 c c
0 c b a 0 0
0 c b a 0 a
0 c b a 0 b
0 c b a 0 c
0 c b a a 0
0 c b a a a
0 c b a a b
0 c b a a c
0 c b a b 0
0 c b a b a
0 c b a b b
0 c b a b c
0 c b a c 0
0 c b a c a
0 c b a c b
0 c b a c c
0 c b b 0 0
0 c b b 0 a
0 c b b 0 b
0 c b b 0 c
0 c b b a 0
0 c b b a a
0 c b b a b
0 c b b a c
0 c b b b 0
0 c b b b a
0 c b b b b
0 c b b b c
0 c b b c 0
0 c b b c a
0 c b b c b
0 c b b c c
0 c b c 0 0
0 c b c 0 a
0 c b c 0 b
0 c b c 0 c
0 c b c a 0
0 c b c a a
0 c b c a b
0 c b c a c
0 c b c b 0
0 c b c b a
0 c b c b b
0 c b c b c
0 c b c c 0
0 c b c c a
0 c b c c b
0 c b c c c
0 c c 0 0 0
0 c c 0 0 a
0 c c 0 0 b
0 c c 0 0 c
0 c c 0 a 0
0 c c 0 a a
0 c c 0 a b
0 c c 0 a c
0 c c 0 b 0
0 c c 0 b a
0 c c 0 b b
0 c c 0 b c
0 c c 0 c 0
0 c c 0 c a
0 c c 0 c b
0 c c 0 c c
0 c c a 0 0
0 c c a 0 a
0 c c a 0 b
0 c c a 0 c
0 c c a a 0
0 c c a a a
0 c c a a b
0 c c a a c
0 c c a b 0
0 c c a b a
0 c c a b b
0 c c a b c
0 c c a c 0
0 c c a c a
0 c c a c b
0 c c a c c
0 c c b 0 0
0 c c b 0 a
0 c c b 0 b
0 c c b 0 c
0 c c b a 0
0 c c b a a
0 c c b a b
0 c c b a c
0 c c b b 0
0 c c b b a
0 c c b b b
0 c c b b c
0 c c b c 0
0 c c b c a
0 c c b c b
0 c c b c c
0 c c c 0 0
0 c c c 0 a
0 c c c 0 b
0 c c c 0 c
0 c c c a 0
0 c c c a a
0 c c c a b
0 c c c a c
0 c c c b 0
0 c c c b a
0 c c c b b
0 c c c b c
0 c c c c 0
0 c c c c a
0 c c c c b
0 c c c c c
Is it a nice code?: No
Generator Matrix-9
a 0 0 0 0 0
b 0 0 0 0 0
0 c 0 0 0 c
0 0 c 0 0 0
0 0 0 c 0 0
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 0
0 0 0 c c 0
0 0 c 0 0 0
0 0 c 0 c 0
0 0 c c 0 0
0 0 c c c 0
0 c 0 0 0 c
0 c 0 0 c c
0 c 0 c 0 c
0 c 0 c c c
0 c c 0 0 c
0 c c 0 c c
0 c c c 0 c
0 c c c c c
b 0 0 0 0 0
b 0 0 0 c 0
b 0 0 c 0 0
b 0 0 c c 0
b 0 c 0 0 0
b 0 c 0 c 0
b 0 c c 0 0
b 0 c c c 0
b c 0 0 0 c
b c 0 0 c c
b c 0 c 0 c
b c 0 c c c
b c c 0 0 c
b c c 0 c c
b c c c 0 c
b c c c c c
a 0 0 0 0 0
a 0 0 0 c 0
a 0 0 c 0 0
a 0 0 c c 0
a 0 c 0 0 0
a 0 c 0 c 0
a 0 c c 0 0
a 0 c c c 0
a c 0 0 0 c
a c 0 0 c c
a c 0 c 0 c
a c 0 c c c
a c c 0 0 c
a c c 0 c c
a c c c 0 c
a c c c c c
c 0 0 0 0 0
c 0 0 0 c 0
c 0 0 c 0 0
c 0 0 c c 0
c 0 c 0 0 0
c 0 c 0 c 0
c 0 c c 0 0
c 0 c c c 0
c c 0 0 0 c
c c 0 0 c c
c c 0 c 0 c
c c 0 c c c
c c c 0 0 c
c c c 0 c c
c c c c 0 c
c c c c c c
dmin: 1
Weight Enumerator: 1x0 + 6x1 + 13x2 + 16x3 + 15x4 + 10x5 + 3x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)5 (X_b)1 + (X_0)4 (X_b)1 (X_c)1 + (X_0)4 (X_b)1 (X_c)1 + (X_0)3 (X_b)1 (X_c)2 + (X_0)4 (X_b)1 (X_c)1 + (X_0)3 (X_b)1 (X_c)2 + (X_0)3 (X_b)1 (X_c)2 + (X_0)2 (X_b)1 (X_c)3 + (X_0)3 (X_b)1 (X_c)2 + (X_0)2 (X_b)1 (X_c)3 + (X_0)2 (X_b)1 (X_c)3 + (X_0)1 (X_b)1 (X_c)4 + (X_0)2 (X_b)1 (X_c)3 + (X_0)1 (X_b)1 (X_c)4 + (X_0)1 (X_b)1 (X_c)4 + (X_b)1 (X_c)5 + (X_0)5 (X_a)1 + (X_0)4 (X_a)1 (X_c)1 + (X_0)4 (X_a)1 (X_c)1 + (X_0)3 (X_a)1 (X_c)2 + (X_0)4 (X_a)1 (X_c)1 + (X_0)3 (X_a)1 (X_c)2 + (X_0)3 (X_a)1 (X_c)2 + (X_0)2 (X_a)1 (X_c)3 + (X_0)3 (X_a)1 (X_c)2 + (X_0)2 (X_a)1 (X_c)3 + (X_0)2 (X_a)1 (X_c)3 + (X_0)1 (X_a)1 (X_c)4 + (X_0)2 (X_a)1 (X_c)3 + (X_0)1 (X_a)1 (X_c)4 + (X_0)1 (X_a)1 (X_c)4 + (X_a)1 (X_c)5 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5 + (X_c)6
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 a a 0
0 0 0 a a a
0 0 0 a a b
0 0 0 a a c
0 0 0 a b 0
0 0 0 a b a
0 0 0 a b b
0 0 0 a b c
0 0 0 a c 0
0 0 0 a c a
0 0 0 a c b
0 0 0 a c c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 b a 0
0 0 0 b a a
0 0 0 b a b
0 0 0 b a c
0 0 0 b b 0
0 0 0 b b a
0 0 0 b b b
0 0 0 b b c
0 0 0 b c 0
0 0 0 b c a
0 0 0 b c b
0 0 0 b c c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c
0 0 0 c a 0
0 0 0 c a a
0 0 0 c a b
0 0 0 c a c
0 0 0 c b 0
0 0 0 c b a
0 0 0 c b b
0 0 0 c b c
0 0 0 c c 0
0 0 0 c c a
0 0 0 c c b
0 0 0 c c c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
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0 c c b a b
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0 c c b b a
0 c c b b b
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0 c c b c 0
0 c c b c a
0 c c b c b
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0 c c c 0 0
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0 c c c b b
0 c c c b c
0 c c c c 0
0 c c c c a
0 c c c c b
0 c c c c c
Is it a nice code?: No
Generator Matrix-10
a 0 0 0 0 0
b 0 0 0 0 0
0 c 0 0 0 c
0 0 c 0 0 0
0 0 0 c 0 0
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 0
0 0 0 c c c
0 0 c 0 0 0
0 0 c 0 c c
0 0 c c 0 0
0 0 c c c c
0 c 0 0 0 c
0 c 0 0 c 0
0 c 0 c 0 c
0 c 0 c c 0
0 c c 0 0 c
0 c c 0 c 0
0 c c c 0 c
0 c c c c 0
b 0 0 0 0 0
b 0 0 0 c c
b 0 0 c 0 0
b 0 0 c c c
b 0 c 0 0 0
b 0 c 0 c c
b 0 c c 0 0
b 0 c c c c
b c 0 0 0 c
b c 0 0 c 0
b c 0 c 0 c
b c 0 c c 0
b c c 0 0 c
b c c 0 c 0
b c c c 0 c
b c c c c 0
a 0 0 0 0 0
a 0 0 0 c c
a 0 0 c 0 0
a 0 0 c c c
a 0 c 0 0 0
a 0 c 0 c c
a 0 c c 0 0
a 0 c c c c
a c 0 0 0 c
a c 0 0 c 0
a c 0 c 0 c
a c 0 c c 0
a c c 0 0 c
a c c 0 c 0
a c c c 0 c
a c c c c 0
c 0 0 0 0 0
c 0 0 0 c c
c 0 0 c 0 0
c 0 0 c c c
c 0 c 0 0 0
c 0 c 0 c c
c 0 c c 0 0
c 0 c c c c
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dmin: 1
Weight Enumerator: 1x0 + 5x1 + 10x2 + 18x3 + 21x4 + 9x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)5 (X_b)1 + (X_0)3 (X_b)1 (X_c)2 + (X_0)4 (X_b)1 (X_c)1 + (X_0)2 (X_b)1 (X_c)3 + (X_0)4 (X_b)1 (X_c)1 + (X_0)2 (X_b)1 (X_c)3 + (X_0)3 (X_b)1 (X_c)2 + (X_0)1 (X_b)1 (X_c)4 + (X_0)3 (X_b)1 (X_c)2 + (X_0)3 (X_b)1 (X_c)2 + (X_0)2 (X_b)1 (X_c)3 + (X_0)2 (X_b)1 (X_c)3 + (X_0)2 (X_b)1 (X_c)3 + (X_0)2 (X_b)1 (X_c)3 + (X_0)1 (X_b)1 (X_c)4 + (X_0)1 (X_b)1 (X_c)4 + (X_0)5 (X_a)1 + (X_0)3 (X_a)1 (X_c)2 + (X_0)4 (X_a)1 (X_c)1 + (X_0)2 (X_a)1 (X_c)3 + (X_0)4 (X_a)1 (X_c)1 + (X_0)2 (X_a)1 (X_c)3 + (X_0)3 (X_a)1 (X_c)2 + (X_0)1 (X_a)1 (X_c)4 + (X_0)3 (X_a)1 (X_c)2 + (X_0)3 (X_a)1 (X_c)2 + (X_0)2 (X_a)1 (X_c)3 + (X_0)2 (X_a)1 (X_c)3 + (X_0)2 (X_a)1 (X_c)3 + (X_0)2 (X_a)1 (X_c)3 + (X_0)1 (X_a)1 (X_c)4 + (X_0)1 (X_a)1 (X_c)4 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5
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0 c a c 0 a
0 c a c 0 b
0 c a c 0 c
0 c a c a 0
0 c a c a a
0 c a c a b
0 c a c a c
0 c a c b 0
0 c a c b a
0 c a c b b
0 c a c b c
0 c a c c 0
0 c a c c a
0 c a c c b
0 c a c c c
0 c b 0 0 0
0 c b 0 0 a
0 c b 0 0 b
0 c b 0 0 c
0 c b 0 a 0
0 c b 0 a a
0 c b 0 a b
0 c b 0 a c
0 c b 0 b 0
0 c b 0 b a
0 c b 0 b b
0 c b 0 b c
0 c b 0 c 0
0 c b 0 c a
0 c b 0 c b
0 c b 0 c c
0 c b a 0 0
0 c b a 0 a
0 c b a 0 b
0 c b a 0 c
0 c b a a 0
0 c b a a a
0 c b a a b
0 c b a a c
0 c b a b 0
0 c b a b a
0 c b a b b
0 c b a b c
0 c b a c 0
0 c b a c a
0 c b a c b
0 c b a c c
0 c b b 0 0
0 c b b 0 a
0 c b b 0 b
0 c b b 0 c
0 c b b a 0
0 c b b a a
0 c b b a b
0 c b b a c
0 c b b b 0
0 c b b b a
0 c b b b b
0 c b b b c
0 c b b c 0
0 c b b c a
0 c b b c b
0 c b b c c
0 c b c 0 0
0 c b c 0 a
0 c b c 0 b
0 c b c 0 c
0 c b c a 0
0 c b c a a
0 c b c a b
0 c b c a c
0 c b c b 0
0 c b c b a
0 c b c b b
0 c b c b c
0 c b c c 0
0 c b c c a
0 c b c c b
0 c b c c c
0 c c 0 0 0
0 c c 0 0 a
0 c c 0 0 b
0 c c 0 0 c
0 c c 0 a 0
0 c c 0 a a
0 c c 0 a b
0 c c 0 a c
0 c c 0 b 0
0 c c 0 b a
0 c c 0 b b
0 c c 0 b c
0 c c 0 c 0
0 c c 0 c a
0 c c 0 c b
0 c c 0 c c
0 c c a 0 0
0 c c a 0 a
0 c c a 0 b
0 c c a 0 c
0 c c a a 0
0 c c a a a
0 c c a a b
0 c c a a c
0 c c a b 0
0 c c a b a
0 c c a b b
0 c c a b c
0 c c a c 0
0 c c a c a
0 c c a c b
0 c c a c c
0 c c b 0 0
0 c c b 0 a
0 c c b 0 b
0 c c b 0 c
0 c c b a 0
0 c c b a a
0 c c b a b
0 c c b a c
0 c c b b 0
0 c c b b a
0 c c b b b
0 c c b b c
0 c c b c 0
0 c c b c a
0 c c b c b
0 c c b c c
0 c c c 0 0
0 c c c 0 a
0 c c c 0 b
0 c c c 0 c
0 c c c a 0
0 c c c a a
0 c c c a b
0 c c c a c
0 c c c b 0
0 c c c b a
0 c c c b b
0 c c c b c
0 c c c c 0
0 c c c c a
0 c c c c b
0 c c c c c
Is it a nice code?: No
Generator Matrix-11
a 0 0 0 0 0
b 0 0 0 0 0
0 c 0 0 0 c
0 0 c 0 0 0
0 0 0 c 0 c
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 c
0 0 0 c c c
0 0 c 0 0 0
0 0 c 0 c 0
0 0 c c 0 c
0 0 c c c c
0 c 0 0 0 c
0 c 0 0 c c
0 c 0 c 0 0
0 c 0 c c 0
0 c c 0 0 c
0 c c 0 c c
0 c c c 0 0
0 c c c c 0
b 0 0 0 0 0
b 0 0 0 c 0
b 0 0 c 0 c
b 0 0 c c c
b 0 c 0 0 0
b 0 c 0 c 0
b 0 c c 0 c
b 0 c c c c
b c 0 0 0 c
b c 0 0 c c
b c 0 c 0 0
b c 0 c c 0
b c c 0 0 c
b c c 0 c c
b c c c 0 0
b c c c c 0
a 0 0 0 0 0
a 0 0 0 c 0
a 0 0 c 0 c
a 0 0 c c c
a 0 c 0 0 0
a 0 c 0 c 0
a 0 c c 0 c
a 0 c c c c
a c 0 0 0 c
a c 0 0 c c
a c 0 c 0 0
a c 0 c c 0
a c c 0 0 c
a c c 0 c c
a c c c 0 0
a c c c c 0
c 0 0 0 0 0
c 0 0 0 c 0
c 0 0 c 0 c
c 0 0 c c c
c 0 c 0 0 0
c 0 c 0 c 0
c 0 c c 0 c
c 0 c c c c
c c 0 0 0 c
c c 0 0 c c
c c 0 c 0 0
c c 0 c c 0
c c c 0 0 c
c c c 0 c c
c c c c 0 0
c c c c c 0
dmin: 1
Weight Enumerator: 1x0 + 5x1 + 10x2 + 18x3 + 21x4 + 9x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)5 (X_b)1 + (X_0)4 (X_b)1 (X_c)1 + (X_0)3 (X_b)1 (X_c)2 + (X_0)2 (X_b)1 (X_c)3 + (X_0)4 (X_b)1 (X_c)1 + (X_0)3 (X_b)1 (X_c)2 + (X_0)2 (X_b)1 (X_c)3 + (X_0)1 (X_b)1 (X_c)4 + (X_0)3 (X_b)1 (X_c)2 + (X_0)2 (X_b)1 (X_c)3 + (X_0)3 (X_b)1 (X_c)2 + (X_0)2 (X_b)1 (X_c)3 + (X_0)2 (X_b)1 (X_c)3 + (X_0)1 (X_b)1 (X_c)4 + (X_0)2 (X_b)1 (X_c)3 + (X_0)1 (X_b)1 (X_c)4 + (X_0)5 (X_a)1 + (X_0)4 (X_a)1 (X_c)1 + (X_0)3 (X_a)1 (X_c)2 + (X_0)2 (X_a)1 (X_c)3 + (X_0)4 (X_a)1 (X_c)1 + (X_0)3 (X_a)1 (X_c)2 + (X_0)2 (X_a)1 (X_c)3 + (X_0)1 (X_a)1 (X_c)4 + (X_0)3 (X_a)1 (X_c)2 + (X_0)2 (X_a)1 (X_c)3 + (X_0)3 (X_a)1 (X_c)2 + (X_0)2 (X_a)1 (X_c)3 + (X_0)2 (X_a)1 (X_c)3 + (X_0)1 (X_a)1 (X_c)4 + (X_0)2 (X_a)1 (X_c)3 + (X_0)1 (X_a)1 (X_c)4 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 a a 0
0 0 0 a a a
0 0 0 a a b
0 0 0 a a c
0 0 0 a b 0
0 0 0 a b a
0 0 0 a b b
0 0 0 a b c
0 0 0 a c 0
0 0 0 a c a
0 0 0 a c b
0 0 0 a c c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 b a 0
0 0 0 b a a
0 0 0 b a b
0 0 0 b a c
0 0 0 b b 0
0 0 0 b b a
0 0 0 b b b
0 0 0 b b c
0 0 0 b c 0
0 0 0 b c a
0 0 0 b c b
0 0 0 b c c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c
0 0 0 c a 0
0 0 0 c a a
0 0 0 c a b
0 0 0 c a c
0 0 0 c b 0
0 0 0 c b a
0 0 0 c b b
0 0 0 c b c
0 0 0 c c 0
0 0 0 c c a
0 0 0 c c b
0 0 0 c c c
0 0 a 0 0 0
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0 0 a 0 0 b
0 0 a 0 0 c
0 0 a 0 a 0
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0 0 a 0 a b
0 0 a 0 a c
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0 0 a 0 c b
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0 0 a a 0 0
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0 0 a b a b
0 0 a b a c
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0 0 a c 0 0
0 0 a c 0 a
0 0 a c 0 b
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0 0 a c a b
0 0 a c a c
0 0 a c b 0
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0 0 a c c c
0 0 b 0 0 0
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0 0 b 0 0 b
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0 0 b 0 a b
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0 0 b 0 c a
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0 0 b a a 0
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0 0 b b a 0
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0 0 b c 0 0
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0 0 b c 0 b
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0 0 b c a 0
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0 0 b c a b
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0 0 c 0 0 0
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0 0 c 0 b 0
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0 0 c 0 c b
0 0 c 0 c c
0 0 c a 0 0
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0 0 c a a a
0 0 c a a b
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0 0 c a c a
0 0 c a c b
0 0 c a c c
0 0 c b 0 0
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0 0 c b 0 b
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0 0 c b a 0
0 0 c b a a
0 0 c b a b
0 0 c b a c
0 0 c b b 0
0 0 c b b a
0 0 c b b b
0 0 c b b c
0 0 c b c 0
0 0 c b c a
0 0 c b c b
0 0 c b c c
0 0 c c 0 0
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0 0 c c 0 b
0 0 c c 0 c
0 0 c c a 0
0 0 c c a a
0 0 c c a b
0 0 c c a c
0 0 c c b 0
0 0 c c b a
0 0 c c b b
0 0 c c b c
0 0 c c c 0
0 0 c c c a
0 0 c c c b
0 0 c c c c
0 a 0 0 0 0
0 a 0 0 0 a
0 a 0 0 0 b
0 a 0 0 0 c
0 a 0 0 a 0
0 a 0 0 a a
0 a 0 0 a b
0 a 0 0 a c
0 a 0 0 b 0
0 a 0 0 b a
0 a 0 0 b b
0 a 0 0 b c
0 a 0 0 c 0
0 a 0 0 c a
0 a 0 0 c b
0 a 0 0 c c
0 a 0 a 0 0
0 a 0 a 0 a
0 a 0 a 0 b
0 a 0 a 0 c
0 a 0 a a 0
0 a 0 a a a
0 a 0 a a b
0 a 0 a a c
0 a 0 a b 0
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0 a 0 a c 0
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0 a 0 a c c
0 a 0 b 0 0
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0 a 0 b 0 b
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0 a 0 b a 0
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0 a 0 b a b
0 a 0 b a c
0 a 0 b b 0
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0 a 0 b b b
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0 a 0 b c b
0 a 0 b c c
0 a 0 c 0 0
0 a 0 c 0 a
0 a 0 c 0 b
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0 a 0 c a 0
0 a 0 c a a
0 a 0 c a b
0 a 0 c a c
0 a 0 c b 0
0 a 0 c b a
0 a 0 c b b
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0 a 0 c c 0
0 a 0 c c a
0 a 0 c c b
0 a 0 c c c
0 a a 0 0 0
0 a a 0 0 a
0 a a 0 0 b
0 a a 0 0 c
0 a a 0 a 0
0 a a 0 a a
0 a a 0 a b
0 a a 0 a c
0 a a 0 b 0
0 a a 0 b a
0 a a 0 b b
0 a a 0 b c
0 a a 0 c 0
0 a a 0 c a
0 a a 0 c b
0 a a 0 c c
0 a a a 0 0
0 a a a 0 a
0 a a a 0 b
0 a a a 0 c
0 a a a a 0
0 a a a a a
0 a a a a b
0 a a a a c
0 a a a b 0
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0 a a a b b
0 a a a b c
0 a a a c 0
0 a a a c a
0 a a a c b
0 a a a c c
0 a a b 0 0
0 a a b 0 a
0 a a b 0 b
0 a a b 0 c
0 a a b a 0
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0 a a b a b
0 a a b a c
0 a a b b 0
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0 a a c 0 0
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0 a a c b 0
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0 a a c b b
0 a a c b c
0 a a c c 0
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0 a a c c b
0 a a c c c
0 a b 0 0 0
0 a b 0 0 a
0 a b 0 0 b
0 a b 0 0 c
0 a b 0 a 0
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0 a b 0 a b
0 a b 0 a c
0 a b 0 b 0
0 a b 0 b a
0 a b 0 b b
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0 a b 0 c 0
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0 a b 0 c b
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0 a b a 0 0
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0 a b a b 0
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0 a c 0 0 0
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0 a c 0 b 0
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0 a c 0 c 0
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0 a c a 0 0
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0 a c c c b
0 a c c c c
0 b 0 0 0 0
0 b 0 0 0 a
0 b 0 0 0 b
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0 b 0 0 a 0
0 b 0 0 a a
0 b 0 0 a b
0 b 0 0 a c
0 b 0 0 b 0
0 b 0 0 b a
0 b 0 0 b b
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0 b 0 0 c 0
0 b 0 0 c a
0 b 0 0 c b
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0 b 0 a 0 0
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0 b 0 a 0 c
0 b 0 a a 0
0 b 0 a a a
0 b 0 a a b
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0 b 0 a b 0
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0 b 0 a c 0
0 b 0 a c a
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0 b 0 b 0 0
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0 b 0 b 0 b
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0 b 0 b a 0
0 b 0 b a a
0 b 0 b a b
0 b 0 b a c
0 b 0 b b 0
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0 b 0 b b b
0 b 0 b b c
0 b 0 b c 0
0 b 0 b c a
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0 b a 0 0 0
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0 b a 0 b c
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0 b a a 0 0
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0 b a a a 0
0 b a a a a
0 b a a a b
0 b a a a c
0 b a a b 0
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0 b a a b b
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0 b a a c 0
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0 b a a c b
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0 b a b 0 0
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0 b a b a 0
0 b a b a a
0 b a b a b
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0 b a b b 0
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0 b b a c b
0 b b a c c
0 b b b 0 0
0 b b b 0 a
0 b b b 0 b
0 b b b 0 c
0 b b b a 0
0 b b b a a
0 b b b a b
0 b b b a c
0 b b b b 0
0 b b b b a
0 b b b b b
0 b b b b c
0 b b b c 0
0 b b b c a
0 b b b c b
0 b b b c c
0 b b c 0 0
0 b b c 0 a
0 b b c 0 b
0 b b c 0 c
0 b b c a 0
0 b b c a a
0 b b c a b
0 b b c a c
0 b b c b 0
0 b b c b a
0 b b c b b
0 b b c b c
0 b b c c 0
0 b b c c a
0 b b c c b
0 b b c c c
0 b c 0 0 0
0 b c 0 0 a
0 b c 0 0 b
0 b c 0 0 c
0 b c 0 a 0
0 b c 0 a a
0 b c 0 a b
0 b c 0 a c
0 b c 0 b 0
0 b c 0 b a
0 b c 0 b b
0 b c 0 b c
0 b c 0 c 0
0 b c 0 c a
0 b c 0 c b
0 b c 0 c c
0 b c a 0 0
0 b c a 0 a
0 b c a 0 b
0 b c a 0 c
0 b c a a 0
0 b c a a a
0 b c a a b
0 b c a a c
0 b c a b 0
0 b c a b a
0 b c a b b
0 b c a b c
0 b c a c 0
0 b c a c a
0 b c a c b
0 b c a c c
0 b c b 0 0
0 b c b 0 a
0 b c b 0 b
0 b c b 0 c
0 b c b a 0
0 b c b a a
0 b c b a b
0 b c b a c
0 b c b b 0
0 b c b b a
0 b c b b b
0 b c b b c
0 b c b c 0
0 b c b c a
0 b c b c b
0 b c b c c
0 b c c 0 0
0 b c c 0 a
0 b c c 0 b
0 b c c 0 c
0 b c c a 0
0 b c c a a
0 b c c a b
0 b c c a c
0 b c c b 0
0 b c c b a
0 b c c b b
0 b c c b c
0 b c c c 0
0 b c c c a
0 b c c c b
0 b c c c c
0 c 0 0 0 0
0 c 0 0 0 a
0 c 0 0 0 b
0 c 0 0 0 c
0 c 0 0 a 0
0 c 0 0 a a
0 c 0 0 a b
0 c 0 0 a c
0 c 0 0 b 0
0 c 0 0 b a
0 c 0 0 b b
0 c 0 0 b c
0 c 0 0 c 0
0 c 0 0 c a
0 c 0 0 c b
0 c 0 0 c c
0 c 0 a 0 0
0 c 0 a 0 a
0 c 0 a 0 b
0 c 0 a 0 c
0 c 0 a a 0
0 c 0 a a a
0 c 0 a a b
0 c 0 a a c
0 c 0 a b 0
0 c 0 a b a
0 c 0 a b b
0 c 0 a b c
0 c 0 a c 0
0 c 0 a c a
0 c 0 a c b
0 c 0 a c c
0 c 0 b 0 0
0 c 0 b 0 a
0 c 0 b 0 b
0 c 0 b 0 c
0 c 0 b a 0
0 c 0 b a a
0 c 0 b a b
0 c 0 b a c
0 c 0 b b 0
0 c 0 b b a
0 c 0 b b b
0 c 0 b b c
0 c 0 b c 0
0 c 0 b c a
0 c 0 b c b
0 c 0 b c c
0 c 0 c 0 0
0 c 0 c 0 a
0 c 0 c 0 b
0 c 0 c 0 c
0 c 0 c a 0
0 c 0 c a a
0 c 0 c a b
0 c 0 c a c
0 c 0 c b 0
0 c 0 c b a
0 c 0 c b b
0 c 0 c b c
0 c 0 c c 0
0 c 0 c c a
0 c 0 c c b
0 c 0 c c c
0 c a 0 0 0
0 c a 0 0 a
0 c a 0 0 b
0 c a 0 0 c
0 c a 0 a 0
0 c a 0 a a
0 c a 0 a b
0 c a 0 a c
0 c a 0 b 0
0 c a 0 b a
0 c a 0 b b
0 c a 0 b c
0 c a 0 c 0
0 c a 0 c a
0 c a 0 c b
0 c a 0 c c
0 c a a 0 0
0 c a a 0 a
0 c a a 0 b
0 c a a 0 c
0 c a a a 0
0 c a a a a
0 c a a a b
0 c a a a c
0 c a a b 0
0 c a a b a
0 c a a b b
0 c a a b c
0 c a a c 0
0 c a a c a
0 c a a c b
0 c a a c c
0 c a b 0 0
0 c a b 0 a
0 c a b 0 b
0 c a b 0 c
0 c a b a 0
0 c a b a a
0 c a b a b
0 c a b a c
0 c a b b 0
0 c a b b a
0 c a b b b
0 c a b b c
0 c a b c 0
0 c a b c a
0 c a b c b
0 c a b c c
0 c a c 0 0
0 c a c 0 a
0 c a c 0 b
0 c a c 0 c
0 c a c a 0
0 c a c a a
0 c a c a b
0 c a c a c
0 c a c b 0
0 c a c b a
0 c a c b b
0 c a c b c
0 c a c c 0
0 c a c c a
0 c a c c b
0 c a c c c
0 c b 0 0 0
0 c b 0 0 a
0 c b 0 0 b
0 c b 0 0 c
0 c b 0 a 0
0 c b 0 a a
0 c b 0 a b
0 c b 0 a c
0 c b 0 b 0
0 c b 0 b a
0 c b 0 b b
0 c b 0 b c
0 c b 0 c 0
0 c b 0 c a
0 c b 0 c b
0 c b 0 c c
0 c b a 0 0
0 c b a 0 a
0 c b a 0 b
0 c b a 0 c
0 c b a a 0
0 c b a a a
0 c b a a b
0 c b a a c
0 c b a b 0
0 c b a b a
0 c b a b b
0 c b a b c
0 c b a c 0
0 c b a c a
0 c b a c b
0 c b a c c
0 c b b 0 0
0 c b b 0 a
0 c b b 0 b
0 c b b 0 c
0 c b b a 0
0 c b b a a
0 c b b a b
0 c b b a c
0 c b b b 0
0 c b b b a
0 c b b b b
0 c b b b c
0 c b b c 0
0 c b b c a
0 c b b c b
0 c b b c c
0 c b c 0 0
0 c b c 0 a
0 c b c 0 b
0 c b c 0 c
0 c b c a 0
0 c b c a a
0 c b c a b
0 c b c a c
0 c b c b 0
0 c b c b a
0 c b c b b
0 c b c b c
0 c b c c 0
0 c b c c a
0 c b c c b
0 c b c c c
0 c c 0 0 0
0 c c 0 0 a
0 c c 0 0 b
0 c c 0 0 c
0 c c 0 a 0
0 c c 0 a a
0 c c 0 a b
0 c c 0 a c
0 c c 0 b 0
0 c c 0 b a
0 c c 0 b b
0 c c 0 b c
0 c c 0 c 0
0 c c 0 c a
0 c c 0 c b
0 c c 0 c c
0 c c a 0 0
0 c c a 0 a
0 c c a 0 b
0 c c a 0 c
0 c c a a 0
0 c c a a a
0 c c a a b
0 c c a a c
0 c c a b 0
0 c c a b a
0 c c a b b
0 c c a b c
0 c c a c 0
0 c c a c a
0 c c a c b
0 c c a c c
0 c c b 0 0
0 c c b 0 a
0 c c b 0 b
0 c c b 0 c
0 c c b a 0
0 c c b a a
0 c c b a b
0 c c b a c
0 c c b b 0
0 c c b b a
0 c c b b b
0 c c b b c
0 c c b c 0
0 c c b c a
0 c c b c b
0 c c b c c
0 c c c 0 0
0 c c c 0 a
0 c c c 0 b
0 c c c 0 c
0 c c c a 0
0 c c c a a
0 c c c a b
0 c c c a c
0 c c c b 0
0 c c c b a
0 c c c b b
0 c c c b c
0 c c c c 0
0 c c c c a
0 c c c c b
0 c c c c c
Is it a nice code?: No
Generator Matrix-12
a 0 0 0 0 0
b 0 0 0 0 0
0 c 0 0 0 c
0 0 c 0 0 0
0 0 0 c 0 c
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 c
0 0 0 c c 0
0 0 c 0 0 0
0 0 c 0 c c
0 0 c c 0 c
0 0 c c c 0
0 c 0 0 0 c
0 c 0 0 c 0
0 c 0 c 0 0
0 c 0 c c c
0 c c 0 0 c
0 c c 0 c 0
0 c c c 0 0
0 c c c c c
b 0 0 0 0 0
b 0 0 0 c c
b 0 0 c 0 c
b 0 0 c c 0
b 0 c 0 0 0
b 0 c 0 c c
b 0 c c 0 c
b 0 c c c 0
b c 0 0 0 c
b c 0 0 c 0
b c 0 c 0 0
b c 0 c c c
b c c 0 0 c
b c c 0 c 0
b c c c 0 0
b c c c c c
a 0 0 0 0 0
a 0 0 0 c c
a 0 0 c 0 c
a 0 0 c c 0
a 0 c 0 0 0
a 0 c 0 c c
a 0 c c 0 c
a 0 c c c 0
a c 0 0 0 c
a c 0 0 c 0
a c 0 c 0 0
a c 0 c c c
a c c 0 0 c
a c c 0 c 0
a c c c 0 0
a c c c c c
c 0 0 0 0 0
c 0 0 0 c c
c 0 0 c 0 c
c 0 0 c c 0
c 0 c 0 0 0
c 0 c 0 c c
c 0 c c 0 c
c 0 c c c 0
c c 0 0 0 c
c c 0 0 c 0
c c 0 c 0 0
c c 0 c c c
c c c 0 0 c
c c c 0 c 0
c c c c 0 0
c c c c c c
dmin: 1
Weight Enumerator: 1x0 + 4x1 + 9x2 + 24x3 + 19x4 + 4x5 + 3x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)5 (X_b)1 + (X_0)3 (X_b)1 (X_c)2 + (X_0)3 (X_b)1 (X_c)2 + (X_0)3 (X_b)1 (X_c)2 + (X_0)4 (X_b)1 (X_c)1 + (X_0)2 (X_b)1 (X_c)3 + (X_0)2 (X_b)1 (X_c)3 + (X_0)2 (X_b)1 (X_c)3 + (X_0)3 (X_b)1 (X_c)2 + (X_0)3 (X_b)1 (X_c)2 + (X_0)3 (X_b)1 (X_c)2 + (X_0)1 (X_b)1 (X_c)4 + (X_0)2 (X_b)1 (X_c)3 + (X_0)2 (X_b)1 (X_c)3 + (X_0)2 (X_b)1 (X_c)3 + (X_b)1 (X_c)5 + (X_0)5 (X_a)1 + (X_0)3 (X_a)1 (X_c)2 + (X_0)3 (X_a)1 (X_c)2 + (X_0)3 (X_a)1 (X_c)2 + (X_0)4 (X_a)1 (X_c)1 + (X_0)2 (X_a)1 (X_c)3 + (X_0)2 (X_a)1 (X_c)3 + (X_0)2 (X_a)1 (X_c)3 + (X_0)3 (X_a)1 (X_c)2 + (X_0)3 (X_a)1 (X_c)2 + (X_0)3 (X_a)1 (X_c)2 + (X_0)1 (X_a)1 (X_c)4 + (X_0)2 (X_a)1 (X_c)3 + (X_0)2 (X_a)1 (X_c)3 + (X_0)2 (X_a)1 (X_c)3 + (X_a)1 (X_c)5 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_c)6
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 a a 0
0 0 0 a a a
0 0 0 a a b
0 0 0 a a c
0 0 0 a b 0
0 0 0 a b a
0 0 0 a b b
0 0 0 a b c
0 0 0 a c 0
0 0 0 a c a
0 0 0 a c b
0 0 0 a c c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 b a 0
0 0 0 b a a
0 0 0 b a b
0 0 0 b a c
0 0 0 b b 0
0 0 0 b b a
0 0 0 b b b
0 0 0 b b c
0 0 0 b c 0
0 0 0 b c a
0 0 0 b c b
0 0 0 b c c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c
0 0 0 c a 0
0 0 0 c a a
0 0 0 c a b
0 0 0 c a c
0 0 0 c b 0
0 0 0 c b a
0 0 0 c b b
0 0 0 c b c
0 0 0 c c 0
0 0 0 c c a
0 0 0 c c b
0 0 0 c c c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 a 0 a 0
0 0 a 0 a a
0 0 a 0 a b
0 0 a 0 a c
0 0 a 0 b 0
0 0 a 0 b a
0 0 a 0 b b
0 0 a 0 b c
0 0 a 0 c 0
0 0 a 0 c a
0 0 a 0 c b
0 0 a 0 c c
0 0 a a 0 0
0 0 a a 0 a
0 0 a a 0 b
0 0 a a 0 c
0 0 a a a 0
0 0 a a a a
0 0 a a a b
0 0 a a a c
0 0 a a b 0
0 0 a a b a
0 0 a a b b
0 0 a a b c
0 0 a a c 0
0 0 a a c a
0 0 a a c b
0 0 a a c c
0 0 a b 0 0
0 0 a b 0 a
0 0 a b 0 b
0 0 a b 0 c
0 0 a b a 0
0 0 a b a a
0 0 a b a b
0 0 a b a c
0 0 a b b 0
0 0 a b b a
0 0 a b b b
0 0 a b b c
0 0 a b c 0
0 0 a b c a
0 0 a b c b
0 0 a b c c
0 0 a c 0 0
0 0 a c 0 a
0 0 a c 0 b
0 0 a c 0 c
0 0 a c a 0
0 0 a c a a
0 0 a c a b
0 0 a c a c
0 0 a c b 0
0 0 a c b a
0 0 a c b b
0 0 a c b c
0 0 a c c 0
0 0 a c c a
0 0 a c c b
0 0 a c c c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 b 0 a 0
0 0 b 0 a a
0 0 b 0 a b
0 0 b 0 a c
0 0 b 0 b 0
0 0 b 0 b a
0 0 b 0 b b
0 0 b 0 b c
0 0 b 0 c 0
0 0 b 0 c a
0 0 b 0 c b
0 0 b 0 c c
0 0 b a 0 0
0 0 b a 0 a
0 0 b a 0 b
0 0 b a 0 c
0 0 b a a 0
0 0 b a a a
0 0 b a a b
0 0 b a a c
0 0 b a b 0
0 0 b a b a
0 0 b a b b
0 0 b a b c
0 0 b a c 0
0 0 b a c a
0 0 b a c b
0 0 b a c c
0 0 b b 0 0
0 0 b b 0 a
0 0 b b 0 b
0 0 b b 0 c
0 0 b b a 0
0 0 b b a a
0 0 b b a b
0 0 b b a c
0 0 b b b 0
0 0 b b b a
0 0 b b b b
0 0 b b b c
0 0 b b c 0
0 0 b b c a
0 0 b b c b
0 0 b b c c
0 0 b c 0 0
0 0 b c 0 a
0 0 b c 0 b
0 0 b c 0 c
0 0 b c a 0
0 0 b c a a
0 0 b c a b
0 0 b c a c
0 0 b c b 0
0 0 b c b a
0 0 b c b b
0 0 b c b c
0 0 b c c 0
0 0 b c c a
0 0 b c c b
0 0 b c c c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c
0 0 c 0 a 0
0 0 c 0 a a
0 0 c 0 a b
0 0 c 0 a c
0 0 c 0 b 0
0 0 c 0 b a
0 0 c 0 b b
0 0 c 0 b c
0 0 c 0 c 0
0 0 c 0 c a
0 0 c 0 c b
0 0 c 0 c c
0 0 c a 0 0
0 0 c a 0 a
0 0 c a 0 b
0 0 c a 0 c
0 0 c a a 0
0 0 c a a a
0 0 c a a b
0 0 c a a c
0 0 c a b 0
0 0 c a b a
0 0 c a b b
0 0 c a b c
0 0 c a c 0
0 0 c a c a
0 0 c a c b
0 0 c a c c
0 0 c b 0 0
0 0 c b 0 a
0 0 c b 0 b
0 0 c b 0 c
0 0 c b a 0
0 0 c b a a
0 0 c b a b
0 0 c b a c
0 0 c b b 0
0 0 c b b a
0 0 c b b b
0 0 c b b c
0 0 c b c 0
0 0 c b c a
0 0 c b c b
0 0 c b c c
0 0 c c 0 0
0 0 c c 0 a
0 0 c c 0 b
0 0 c c 0 c
0 0 c c a 0
0 0 c c a a
0 0 c c a b
0 0 c c a c
0 0 c c b 0
0 0 c c b a
0 0 c c b b
0 0 c c b c
0 0 c c c 0
0 0 c c c a
0 0 c c c b
0 0 c c c c
0 a 0 0 0 0
0 a 0 0 0 a
0 a 0 0 0 b
0 a 0 0 0 c
0 a 0 0 a 0
0 a 0 0 a a
0 a 0 0 a b
0 a 0 0 a c
0 a 0 0 b 0
0 a 0 0 b a
0 a 0 0 b b
0 a 0 0 b c
0 a 0 0 c 0
0 a 0 0 c a
0 a 0 0 c b
0 a 0 0 c c
0 a 0 a 0 0
0 a 0 a 0 a
0 a 0 a 0 b
0 a 0 a 0 c
0 a 0 a a 0
0 a 0 a a a
0 a 0 a a b
0 a 0 a a c
0 a 0 a b 0
0 a 0 a b a
0 a 0 a b b
0 a 0 a b c
0 a 0 a c 0
0 a 0 a c a
0 a 0 a c b
0 a 0 a c c
0 a 0 b 0 0
0 a 0 b 0 a
0 a 0 b 0 b
0 a 0 b 0 c
0 a 0 b a 0
0 a 0 b a a
0 a 0 b a b
0 a 0 b a c
0 a 0 b b 0
0 a 0 b b a
0 a 0 b b b
0 a 0 b b c
0 a 0 b c 0
0 a 0 b c a
0 a 0 b c b
0 a 0 b c c
0 a 0 c 0 0
0 a 0 c 0 a
0 a 0 c 0 b
0 a 0 c 0 c
0 a 0 c a 0
0 a 0 c a a
0 a 0 c a b
0 a 0 c a c
0 a 0 c b 0
0 a 0 c b a
0 a 0 c b b
0 a 0 c b c
0 a 0 c c 0
0 a 0 c c a
0 a 0 c c b
0 a 0 c c c
0 a a 0 0 0
0 a a 0 0 a
0 a a 0 0 b
0 a a 0 0 c
0 a a 0 a 0
0 a a 0 a a
0 a a 0 a b
0 a a 0 a c
0 a a 0 b 0
0 a a 0 b a
0 a a 0 b b
0 a a 0 b c
0 a a 0 c 0
0 a a 0 c a
0 a a 0 c b
0 a a 0 c c
0 a a a 0 0
0 a a a 0 a
0 a a a 0 b
0 a a a 0 c
0 a a a a 0
0 a a a a a
0 a a a a b
0 a a a a c
0 a a a b 0
0 a a a b a
0 a a a b b
0 a a a b c
0 a a a c 0
0 a a a c a
0 a a a c b
0 a a a c c
0 a a b 0 0
0 a a b 0 a
0 a a b 0 b
0 a a b 0 c
0 a a b a 0
0 a a b a a
0 a a b a b
0 a a b a c
0 a a b b 0
0 a a b b a
0 a a b b b
0 a a b b c
0 a a b c 0
0 a a b c a
0 a a b c b
0 a a b c c
0 a a c 0 0
0 a a c 0 a
0 a a c 0 b
0 a a c 0 c
0 a a c a 0
0 a a c a a
0 a a c a b
0 a a c a c
0 a a c b 0
0 a a c b a
0 a a c b b
0 a a c b c
0 a a c c 0
0 a a c c a
0 a a c c b
0 a a c c c
0 a b 0 0 0
0 a b 0 0 a
0 a b 0 0 b
0 a b 0 0 c
0 a b 0 a 0
0 a b 0 a a
0 a b 0 a b
0 a b 0 a c
0 a b 0 b 0
0 a b 0 b a
0 a b 0 b b
0 a b 0 b c
0 a b 0 c 0
0 a b 0 c a
0 a b 0 c b
0 a b 0 c c
0 a b a 0 0
0 a b a 0 a
0 a b a 0 b
0 a b a 0 c
0 a b a a 0
0 a b a a a
0 a b a a b
0 a b a a c
0 a b a b 0
0 a b a b a
0 a b a b b
0 a b a b c
0 a b a c 0
0 a b a c a
0 a b a c b
0 a b a c c
0 a b b 0 0
0 a b b 0 a
0 a b b 0 b
0 a b b 0 c
0 a b b a 0
0 a b b a a
0 a b b a b
0 a b b a c
0 a b b b 0
0 a b b b a
0 a b b b b
0 a b b b c
0 a b b c 0
0 a b b c a
0 a b b c b
0 a b b c c
0 a b c 0 0
0 a b c 0 a
0 a b c 0 b
0 a b c 0 c
0 a b c a 0
0 a b c a a
0 a b c a b
0 a b c a c
0 a b c b 0
0 a b c b a
0 a b c b b
0 a b c b c
0 a b c c 0
0 a b c c a
0 a b c c b
0 a b c c c
0 a c 0 0 0
0 a c 0 0 a
0 a c 0 0 b
0 a c 0 0 c
0 a c 0 a 0
0 a c 0 a a
0 a c 0 a b
0 a c 0 a c
0 a c 0 b 0
0 a c 0 b a
0 a c 0 b b
0 a c 0 b c
0 a c 0 c 0
0 a c 0 c a
0 a c 0 c b
0 a c 0 c c
0 a c a 0 0
0 a c a 0 a
0 a c a 0 b
0 a c a 0 c
0 a c a a 0
0 a c a a a
0 a c a a b
0 a c a a c
0 a c a b 0
0 a c a b a
0 a c a b b
0 a c a b c
0 a c a c 0
0 a c a c a
0 a c a c b
0 a c a c c
0 a c b 0 0
0 a c b 0 a
0 a c b 0 b
0 a c b 0 c
0 a c b a 0
0 a c b a a
0 a c b a b
0 a c b a c
0 a c b b 0
0 a c b b a
0 a c b b b
0 a c b b c
0 a c b c 0
0 a c b c a
0 a c b c b
0 a c b c c
0 a c c 0 0
0 a c c 0 a
0 a c c 0 b
0 a c c 0 c
0 a c c a 0
0 a c c a a
0 a c c a b
0 a c c a c
0 a c c b 0
0 a c c b a
0 a c c b b
0 a c c b c
0 a c c c 0
0 a c c c a
0 a c c c b
0 a c c c c
0 b 0 0 0 0
0 b 0 0 0 a
0 b 0 0 0 b
0 b 0 0 0 c
0 b 0 0 a 0
0 b 0 0 a a
0 b 0 0 a b
0 b 0 0 a c
0 b 0 0 b 0
0 b 0 0 b a
0 b 0 0 b b
0 b 0 0 b c
0 b 0 0 c 0
0 b 0 0 c a
0 b 0 0 c b
0 b 0 0 c c
0 b 0 a 0 0
0 b 0 a 0 a
0 b 0 a 0 b
0 b 0 a 0 c
0 b 0 a a 0
0 b 0 a a a
0 b 0 a a b
0 b 0 a a c
0 b 0 a b 0
0 b 0 a b a
0 b 0 a b b
0 b 0 a b c
0 b 0 a c 0
0 b 0 a c a
0 b 0 a c b
0 b 0 a c c
0 b 0 b 0 0
0 b 0 b 0 a
0 b 0 b 0 b
0 b 0 b 0 c
0 b 0 b a 0
0 b 0 b a a
0 b 0 b a b
0 b 0 b a c
0 b 0 b b 0
0 b 0 b b a
0 b 0 b b b
0 b 0 b b c
0 b 0 b c 0
0 b 0 b c a
0 b 0 b c b
0 b 0 b c c
0 b 0 c 0 0
0 b 0 c 0 a
0 b 0 c 0 b
0 b 0 c 0 c
0 b 0 c a 0
0 b 0 c a a
0 b 0 c a b
0 b 0 c a c
0 b 0 c b 0
0 b 0 c b a
0 b 0 c b b
0 b 0 c b c
0 b 0 c c 0
0 b 0 c c a
0 b 0 c c b
0 b 0 c c c
0 b a 0 0 0
0 b a 0 0 a
0 b a 0 0 b
0 b a 0 0 c
0 b a 0 a 0
0 b a 0 a a
0 b a 0 a b
0 b a 0 a c
0 b a 0 b 0
0 b a 0 b a
0 b a 0 b b
0 b a 0 b c
0 b a 0 c 0
0 b a 0 c a
0 b a 0 c b
0 b a 0 c c
0 b a a 0 0
0 b a a 0 a
0 b a a 0 b
0 b a a 0 c
0 b a a a 0
0 b a a a a
0 b a a a b
0 b a a a c
0 b a a b 0
0 b a a b a
0 b a a b b
0 b a a b c
0 b a a c 0
0 b a a c a
0 b a a c b
0 b a a c c
0 b a b 0 0
0 b a b 0 a
0 b a b 0 b
0 b a b 0 c
0 b a b a 0
0 b a b a a
0 b a b a b
0 b a b a c
0 b a b b 0
0 b a b b a
0 b a b b b
0 b a b b c
0 b a b c 0
0 b a b c a
0 b a b c b
0 b a b c c
0 b a c 0 0
0 b a c 0 a
0 b a c 0 b
0 b a c 0 c
0 b a c a 0
0 b a c a a
0 b a c a b
0 b a c a c
0 b a c b 0
0 b a c b a
0 b a c b b
0 b a c b c
0 b a c c 0
0 b a c c a
0 b a c c b
0 b a c c c
0 b b 0 0 0
0 b b 0 0 a
0 b b 0 0 b
0 b b 0 0 c
0 b b 0 a 0
0 b b 0 a a
0 b b 0 a b
0 b b 0 a c
0 b b 0 b 0
0 b b 0 b a
0 b b 0 b b
0 b b 0 b c
0 b b 0 c 0
0 b b 0 c a
0 b b 0 c b
0 b b 0 c c
0 b b a 0 0
0 b b a 0 a
0 b b a 0 b
0 b b a 0 c
0 b b a a 0
0 b b a a a
0 b b a a b
0 b b a a c
0 b b a b 0
0 b b a b a
0 b b a b b
0 b b a b c
0 b b a c 0
0 b b a c a
0 b b a c b
0 b b a c c
0 b b b 0 0
0 b b b 0 a
0 b b b 0 b
0 b b b 0 c
0 b b b a 0
0 b b b a a
0 b b b a b
0 b b b a c
0 b b b b 0
0 b b b b a
0 b b b b b
0 b b b b c
0 b b b c 0
0 b b b c a
0 b b b c b
0 b b b c c
0 b b c 0 0
0 b b c 0 a
0 b b c 0 b
0 b b c 0 c
0 b b c a 0
0 b b c a a
0 b b c a b
0 b b c a c
0 b b c b 0
0 b b c b a
0 b b c b b
0 b b c b c
0 b b c c 0
0 b b c c a
0 b b c c b
0 b b c c c
0 b c 0 0 0
0 b c 0 0 a
0 b c 0 0 b
0 b c 0 0 c
0 b c 0 a 0
0 b c 0 a a
0 b c 0 a b
0 b c 0 a c
0 b c 0 b 0
0 b c 0 b a
0 b c 0 b b
0 b c 0 b c
0 b c 0 c 0
0 b c 0 c a
0 b c 0 c b
0 b c 0 c c
0 b c a 0 0
0 b c a 0 a
0 b c a 0 b
0 b c a 0 c
0 b c a a 0
0 b c a a a
0 b c a a b
0 b c a a c
0 b c a b 0
0 b c a b a
0 b c a b b
0 b c a b c
0 b c a c 0
0 b c a c a
0 b c a c b
0 b c a c c
0 b c b 0 0
0 b c b 0 a
0 b c b 0 b
0 b c b 0 c
0 b c b a 0
0 b c b a a
0 b c b a b
0 b c b a c
0 b c b b 0
0 b c b b a
0 b c b b b
0 b c b b c
0 b c b c 0
0 b c b c a
0 b c b c b
0 b c b c c
0 b c c 0 0
0 b c c 0 a
0 b c c 0 b
0 b c c 0 c
0 b c c a 0
0 b c c a a
0 b c c a b
0 b c c a c
0 b c c b 0
0 b c c b a
0 b c c b b
0 b c c b c
0 b c c c 0
0 b c c c a
0 b c c c b
0 b c c c c
0 c 0 0 0 0
0 c 0 0 0 a
0 c 0 0 0 b
0 c 0 0 0 c
0 c 0 0 a 0
0 c 0 0 a a
0 c 0 0 a b
0 c 0 0 a c
0 c 0 0 b 0
0 c 0 0 b a
0 c 0 0 b b
0 c 0 0 b c
0 c 0 0 c 0
0 c 0 0 c a
0 c 0 0 c b
0 c 0 0 c c
0 c 0 a 0 0
0 c 0 a 0 a
0 c 0 a 0 b
0 c 0 a 0 c
0 c 0 a a 0
0 c 0 a a a
0 c 0 a a b
0 c 0 a a c
0 c 0 a b 0
0 c 0 a b a
0 c 0 a b b
0 c 0 a b c
0 c 0 a c 0
0 c 0 a c a
0 c 0 a c b
0 c 0 a c c
0 c 0 b 0 0
0 c 0 b 0 a
0 c 0 b 0 b
0 c 0 b 0 c
0 c 0 b a 0
0 c 0 b a a
0 c 0 b a b
0 c 0 b a c
0 c 0 b b 0
0 c 0 b b a
0 c 0 b b b
0 c 0 b b c
0 c 0 b c 0
0 c 0 b c a
0 c 0 b c b
0 c 0 b c c
0 c 0 c 0 0
0 c 0 c 0 a
0 c 0 c 0 b
0 c 0 c 0 c
0 c 0 c a 0
0 c 0 c a a
0 c 0 c a b
0 c 0 c a c
0 c 0 c b 0
0 c 0 c b a
0 c 0 c b b
0 c 0 c b c
0 c 0 c c 0
0 c 0 c c a
0 c 0 c c b
0 c 0 c c c
0 c a 0 0 0
0 c a 0 0 a
0 c a 0 0 b
0 c a 0 0 c
0 c a 0 a 0
0 c a 0 a a
0 c a 0 a b
0 c a 0 a c
0 c a 0 b 0
0 c a 0 b a
0 c a 0 b b
0 c a 0 b c
0 c a 0 c 0
0 c a 0 c a
0 c a 0 c b
0 c a 0 c c
0 c a a 0 0
0 c a a 0 a
0 c a a 0 b
0 c a a 0 c
0 c a a a 0
0 c a a a a
0 c a a a b
0 c a a a c
0 c a a b 0
0 c a a b a
0 c a a b b
0 c a a b c
0 c a a c 0
0 c a a c a
0 c a a c b
0 c a a c c
0 c a b 0 0
0 c a b 0 a
0 c a b 0 b
0 c a b 0 c
0 c a b a 0
0 c a b a a
0 c a b a b
0 c a b a c
0 c a b b 0
0 c a b b a
0 c a b b b
0 c a b b c
0 c a b c 0
0 c a b c a
0 c a b c b
0 c a b c c
0 c a c 0 0
0 c a c 0 a
0 c a c 0 b
0 c a c 0 c
0 c a c a 0
0 c a c a a
0 c a c a b
0 c a c a c
0 c a c b 0
0 c a c b a
0 c a c b b
0 c a c b c
0 c a c c 0
0 c a c c a
0 c a c c b
0 c a c c c
0 c b 0 0 0
0 c b 0 0 a
0 c b 0 0 b
0 c b 0 0 c
0 c b 0 a 0
0 c b 0 a a
0 c b 0 a b
0 c b 0 a c
0 c b 0 b 0
0 c b 0 b a
0 c b 0 b b
0 c b 0 b c
0 c b 0 c 0
0 c b 0 c a
0 c b 0 c b
0 c b 0 c c
0 c b a 0 0
0 c b a 0 a
0 c b a 0 b
0 c b a 0 c
0 c b a a 0
0 c b a a a
0 c b a a b
0 c b a a c
0 c b a b 0
0 c b a b a
0 c b a b b
0 c b a b c
0 c b a c 0
0 c b a c a
0 c b a c b
0 c b a c c
0 c b b 0 0
0 c b b 0 a
0 c b b 0 b
0 c b b 0 c
0 c b b a 0
0 c b b a a
0 c b b a b
0 c b b a c
0 c b b b 0
0 c b b b a
0 c b b b b
0 c b b b c
0 c b b c 0
0 c b b c a
0 c b b c b
0 c b b c c
0 c b c 0 0
0 c b c 0 a
0 c b c 0 b
0 c b c 0 c
0 c b c a 0
0 c b c a a
0 c b c a b
0 c b c a c
0 c b c b 0
0 c b c b a
0 c b c b b
0 c b c b c
0 c b c c 0
0 c b c c a
0 c b c c b
0 c b c c c
0 c c 0 0 0
0 c c 0 0 a
0 c c 0 0 b
0 c c 0 0 c
0 c c 0 a 0
0 c c 0 a a
0 c c 0 a b
0 c c 0 a c
0 c c 0 b 0
0 c c 0 b a
0 c c 0 b b
0 c c 0 b c
0 c c 0 c 0
0 c c 0 c a
0 c c 0 c b
0 c c 0 c c
0 c c a 0 0
0 c c a 0 a
0 c c a 0 b
0 c c a 0 c
0 c c a a 0
0 c c a a a
0 c c a a b
0 c c a a c
0 c c a b 0
0 c c a b a
0 c c a b b
0 c c a b c
0 c c a c 0
0 c c a c a
0 c c a c b
0 c c a c c
0 c c b 0 0
0 c c b 0 a
0 c c b 0 b
0 c c b 0 c
0 c c b a 0
0 c c b a a
0 c c b a b
0 c c b a c
0 c c b b 0
0 c c b b a
0 c c b b b
0 c c b b c
0 c c b c 0
0 c c b c a
0 c c b c b
0 c c b c c
0 c c c 0 0
0 c c c 0 a
0 c c c 0 b
0 c c c 0 c
0 c c c a 0
0 c c c a a
0 c c c a b
0 c c c a c
0 c c c b 0
0 c c c b a
0 c c c b b
0 c c c b c
0 c c c c 0
0 c c c c a
0 c c c c b
0 c c c c c
Is it a nice code?: No
Generator Matrix-13
a 0 0 0 0 0
b 0 0 0 0 0
0 c 0 0 0 c
0 0 c 0 0 c
0 0 0 c 0 0
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 0
0 0 0 c c 0
0 0 c 0 0 c
0 0 c 0 c c
0 0 c c 0 c
0 0 c c c c
0 c 0 0 0 c
0 c 0 0 c c
0 c 0 c 0 c
0 c 0 c c c
0 c c 0 0 0
0 c c 0 c 0
0 c c c 0 0
0 c c c c 0
b 0 0 0 0 0
b 0 0 0 c 0
b 0 0 c 0 0
b 0 0 c c 0
b 0 c 0 0 c
b 0 c 0 c c
b 0 c c 0 c
b 0 c c c c
b c 0 0 0 c
b c 0 0 c c
b c 0 c 0 c
b c 0 c c c
b c c 0 0 0
b c c 0 c 0
b c c c 0 0
b c c c c 0
a 0 0 0 0 0
a 0 0 0 c 0
a 0 0 c 0 0
a 0 0 c c 0
a 0 c 0 0 c
a 0 c 0 c c
a 0 c c 0 c
a 0 c c c c
a c 0 0 0 c
a c 0 0 c c
a c 0 c 0 c
a c 0 c c c
a c c 0 0 0
a c c 0 c 0
a c c c 0 0
a c c c c 0
c 0 0 0 0 0
c 0 0 0 c 0
c 0 0 c 0 0
c 0 0 c c 0
c 0 c 0 0 c
c 0 c 0 c c
c 0 c c 0 c
c 0 c c c c
c c 0 0 0 c
c c 0 0 c c
c c 0 c 0 c
c c 0 c c c
c c c 0 0 0
c c c 0 c 0
c c c c 0 0
c c c c c 0
dmin: 1
Weight Enumerator: 1x0 + 5x1 + 10x2 + 18x3 + 21x4 + 9x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)5 (X_b)1 + (X_0)4 (X_b)1 (X_c)1 + (X_0)4 (X_b)1 (X_c)1 + (X_0)3 (X_b)1 (X_c)2 + (X_0)3 (X_b)1 (X_c)2 + (X_0)2 (X_b)1 (X_c)3 + (X_0)2 (X_b)1 (X_c)3 + (X_0)1 (X_b)1 (X_c)4 + (X_0)3 (X_b)1 (X_c)2 + (X_0)2 (X_b)1 (X_c)3 + (X_0)2 (X_b)1 (X_c)3 + (X_0)1 (X_b)1 (X_c)4 + (X_0)3 (X_b)1 (X_c)2 + (X_0)2 (X_b)1 (X_c)3 + (X_0)2 (X_b)1 (X_c)3 + (X_0)1 (X_b)1 (X_c)4 + (X_0)5 (X_a)1 + (X_0)4 (X_a)1 (X_c)1 + (X_0)4 (X_a)1 (X_c)1 + (X_0)3 (X_a)1 (X_c)2 + (X_0)3 (X_a)1 (X_c)2 + (X_0)2 (X_a)1 (X_c)3 + (X_0)2 (X_a)1 (X_c)3 + (X_0)1 (X_a)1 (X_c)4 + (X_0)3 (X_a)1 (X_c)2 + (X_0)2 (X_a)1 (X_c)3 + (X_0)2 (X_a)1 (X_c)3 + (X_0)1 (X_a)1 (X_c)4 + (X_0)3 (X_a)1 (X_c)2 + (X_0)2 (X_a)1 (X_c)3 + (X_0)2 (X_a)1 (X_c)3 + (X_0)1 (X_a)1 (X_c)4 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 a a 0
0 0 0 a a a
0 0 0 a a b
0 0 0 a a c
0 0 0 a b 0
0 0 0 a b a
0 0 0 a b b
0 0 0 a b c
0 0 0 a c 0
0 0 0 a c a
0 0 0 a c b
0 0 0 a c c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 b a 0
0 0 0 b a a
0 0 0 b a b
0 0 0 b a c
0 0 0 b b 0
0 0 0 b b a
0 0 0 b b b
0 0 0 b b c
0 0 0 b c 0
0 0 0 b c a
0 0 0 b c b
0 0 0 b c c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c
0 0 0 c a 0
0 0 0 c a a
0 0 0 c a b
0 0 0 c a c
0 0 0 c b 0
0 0 0 c b a
0 0 0 c b b
0 0 0 c b c
0 0 0 c c 0
0 0 0 c c a
0 0 0 c c b
0 0 0 c c c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 a 0 a 0
0 0 a 0 a a
0 0 a 0 a b
0 0 a 0 a c
0 0 a 0 b 0
0 0 a 0 b a
0 0 a 0 b b
0 0 a 0 b c
0 0 a 0 c 0
0 0 a 0 c a
0 0 a 0 c b
0 0 a 0 c c
0 0 a a 0 0
0 0 a a 0 a
0 0 a a 0 b
0 0 a a 0 c
0 0 a a a 0
0 0 a a a a
0 0 a a a b
0 0 a a a c
0 0 a a b 0
0 0 a a b a
0 0 a a b b
0 0 a a b c
0 0 a a c 0
0 0 a a c a
0 0 a a c b
0 0 a a c c
0 0 a b 0 0
0 0 a b 0 a
0 0 a b 0 b
0 0 a b 0 c
0 0 a b a 0
0 0 a b a a
0 0 a b a b
0 0 a b a c
0 0 a b b 0
0 0 a b b a
0 0 a b b b
0 0 a b b c
0 0 a b c 0
0 0 a b c a
0 0 a b c b
0 0 a b c c
0 0 a c 0 0
0 0 a c 0 a
0 0 a c 0 b
0 0 a c 0 c
0 0 a c a 0
0 0 a c a a
0 0 a c a b
0 0 a c a c
0 0 a c b 0
0 0 a c b a
0 0 a c b b
0 0 a c b c
0 0 a c c 0
0 0 a c c a
0 0 a c c b
0 0 a c c c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 b 0 a 0
0 0 b 0 a a
0 0 b 0 a b
0 0 b 0 a c
0 0 b 0 b 0
0 0 b 0 b a
0 0 b 0 b b
0 0 b 0 b c
0 0 b 0 c 0
0 0 b 0 c a
0 0 b 0 c b
0 0 b 0 c c
0 0 b a 0 0
0 0 b a 0 a
0 0 b a 0 b
0 0 b a 0 c
0 0 b a a 0
0 0 b a a a
0 0 b a a b
0 0 b a a c
0 0 b a b 0
0 0 b a b a
0 0 b a b b
0 0 b a b c
0 0 b a c 0
0 0 b a c a
0 0 b a c b
0 0 b a c c
0 0 b b 0 0
0 0 b b 0 a
0 0 b b 0 b
0 0 b b 0 c
0 0 b b a 0
0 0 b b a a
0 0 b b a b
0 0 b b a c
0 0 b b b 0
0 0 b b b a
0 0 b b b b
0 0 b b b c
0 0 b b c 0
0 0 b b c a
0 0 b b c b
0 0 b b c c
0 0 b c 0 0
0 0 b c 0 a
0 0 b c 0 b
0 0 b c 0 c
0 0 b c a 0
0 0 b c a a
0 0 b c a b
0 0 b c a c
0 0 b c b 0
0 0 b c b a
0 0 b c b b
0 0 b c b c
0 0 b c c 0
0 0 b c c a
0 0 b c c b
0 0 b c c c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c
0 0 c 0 a 0
0 0 c 0 a a
0 0 c 0 a b
0 0 c 0 a c
0 0 c 0 b 0
0 0 c 0 b a
0 0 c 0 b b
0 0 c 0 b c
0 0 c 0 c 0
0 0 c 0 c a
0 0 c 0 c b
0 0 c 0 c c
0 0 c a 0 0
0 0 c a 0 a
0 0 c a 0 b
0 0 c a 0 c
0 0 c a a 0
0 0 c a a a
0 0 c a a b
0 0 c a a c
0 0 c a b 0
0 0 c a b a
0 0 c a b b
0 0 c a b c
0 0 c a c 0
0 0 c a c a
0 0 c a c b
0 0 c a c c
0 0 c b 0 0
0 0 c b 0 a
0 0 c b 0 b
0 0 c b 0 c
0 0 c b a 0
0 0 c b a a
0 0 c b a b
0 0 c b a c
0 0 c b b 0
0 0 c b b a
0 0 c b b b
0 0 c b b c
0 0 c b c 0
0 0 c b c a
0 0 c b c b
0 0 c b c c
0 0 c c 0 0
0 0 c c 0 a
0 0 c c 0 b
0 0 c c 0 c
0 0 c c a 0
0 0 c c a a
0 0 c c a b
0 0 c c a c
0 0 c c b 0
0 0 c c b a
0 0 c c b b
0 0 c c b c
0 0 c c c 0
0 0 c c c a
0 0 c c c b
0 0 c c c c
0 a 0 0 0 0
0 a 0 0 0 a
0 a 0 0 0 b
0 a 0 0 0 c
0 a 0 0 a 0
0 a 0 0 a a
0 a 0 0 a b
0 a 0 0 a c
0 a 0 0 b 0
0 a 0 0 b a
0 a 0 0 b b
0 a 0 0 b c
0 a 0 0 c 0
0 a 0 0 c a
0 a 0 0 c b
0 a 0 0 c c
0 a 0 a 0 0
0 a 0 a 0 a
0 a 0 a 0 b
0 a 0 a 0 c
0 a 0 a a 0
0 a 0 a a a
0 a 0 a a b
0 a 0 a a c
0 a 0 a b 0
0 a 0 a b a
0 a 0 a b b
0 a 0 a b c
0 a 0 a c 0
0 a 0 a c a
0 a 0 a c b
0 a 0 a c c
0 a 0 b 0 0
0 a 0 b 0 a
0 a 0 b 0 b
0 a 0 b 0 c
0 a 0 b a 0
0 a 0 b a a
0 a 0 b a b
0 a 0 b a c
0 a 0 b b 0
0 a 0 b b a
0 a 0 b b b
0 a 0 b b c
0 a 0 b c 0
0 a 0 b c a
0 a 0 b c b
0 a 0 b c c
0 a 0 c 0 0
0 a 0 c 0 a
0 a 0 c 0 b
0 a 0 c 0 c
0 a 0 c a 0
0 a 0 c a a
0 a 0 c a b
0 a 0 c a c
0 a 0 c b 0
0 a 0 c b a
0 a 0 c b b
0 a 0 c b c
0 a 0 c c 0
0 a 0 c c a
0 a 0 c c b
0 a 0 c c c
0 a a 0 0 0
0 a a 0 0 a
0 a a 0 0 b
0 a a 0 0 c
0 a a 0 a 0
0 a a 0 a a
0 a a 0 a b
0 a a 0 a c
0 a a 0 b 0
0 a a 0 b a
0 a a 0 b b
0 a a 0 b c
0 a a 0 c 0
0 a a 0 c a
0 a a 0 c b
0 a a 0 c c
0 a a a 0 0
0 a a a 0 a
0 a a a 0 b
0 a a a 0 c
0 a a a a 0
0 a a a a a
0 a a a a b
0 a a a a c
0 a a a b 0
0 a a a b a
0 a a a b b
0 a a a b c
0 a a a c 0
0 a a a c a
0 a a a c b
0 a a a c c
0 a a b 0 0
0 a a b 0 a
0 a a b 0 b
0 a a b 0 c
0 a a b a 0
0 a a b a a
0 a a b a b
0 a a b a c
0 a a b b 0
0 a a b b a
0 a a b b b
0 a a b b c
0 a a b c 0
0 a a b c a
0 a a b c b
0 a a b c c
0 a a c 0 0
0 a a c 0 a
0 a a c 0 b
0 a a c 0 c
0 a a c a 0
0 a a c a a
0 a a c a b
0 a a c a c
0 a a c b 0
0 a a c b a
0 a a c b b
0 a a c b c
0 a a c c 0
0 a a c c a
0 a a c c b
0 a a c c c
0 a b 0 0 0
0 a b 0 0 a
0 a b 0 0 b
0 a b 0 0 c
0 a b 0 a 0
0 a b 0 a a
0 a b 0 a b
0 a b 0 a c
0 a b 0 b 0
0 a b 0 b a
0 a b 0 b b
0 a b 0 b c
0 a b 0 c 0
0 a b 0 c a
0 a b 0 c b
0 a b 0 c c
0 a b a 0 0
0 a b a 0 a
0 a b a 0 b
0 a b a 0 c
0 a b a a 0
0 a b a a a
0 a b a a b
0 a b a a c
0 a b a b 0
0 a b a b a
0 a b a b b
0 a b a b c
0 a b a c 0
0 a b a c a
0 a b a c b
0 a b a c c
0 a b b 0 0
0 a b b 0 a
0 a b b 0 b
0 a b b 0 c
0 a b b a 0
0 a b b a a
0 a b b a b
0 a b b a c
0 a b b b 0
0 a b b b a
0 a b b b b
0 a b b b c
0 a b b c 0
0 a b b c a
0 a b b c b
0 a b b c c
0 a b c 0 0
0 a b c 0 a
0 a b c 0 b
0 a b c 0 c
0 a b c a 0
0 a b c a a
0 a b c a b
0 a b c a c
0 a b c b 0
0 a b c b a
0 a b c b b
0 a b c b c
0 a b c c 0
0 a b c c a
0 a b c c b
0 a b c c c
0 a c 0 0 0
0 a c 0 0 a
0 a c 0 0 b
0 a c 0 0 c
0 a c 0 a 0
0 a c 0 a a
0 a c 0 a b
0 a c 0 a c
0 a c 0 b 0
0 a c 0 b a
0 a c 0 b b
0 a c 0 b c
0 a c 0 c 0
0 a c 0 c a
0 a c 0 c b
0 a c 0 c c
0 a c a 0 0
0 a c a 0 a
0 a c a 0 b
0 a c a 0 c
0 a c a a 0
0 a c a a a
0 a c a a b
0 a c a a c
0 a c a b 0
0 a c a b a
0 a c a b b
0 a c a b c
0 a c a c 0
0 a c a c a
0 a c a c b
0 a c a c c
0 a c b 0 0
0 a c b 0 a
0 a c b 0 b
0 a c b 0 c
0 a c b a 0
0 a c b a a
0 a c b a b
0 a c b a c
0 a c b b 0
0 a c b b a
0 a c b b b
0 a c b b c
0 a c b c 0
0 a c b c a
0 a c b c b
0 a c b c c
0 a c c 0 0
0 a c c 0 a
0 a c c 0 b
0 a c c 0 c
0 a c c a 0
0 a c c a a
0 a c c a b
0 a c c a c
0 a c c b 0
0 a c c b a
0 a c c b b
0 a c c b c
0 a c c c 0
0 a c c c a
0 a c c c b
0 a c c c c
0 b 0 0 0 0
0 b 0 0 0 a
0 b 0 0 0 b
0 b 0 0 0 c
0 b 0 0 a 0
0 b 0 0 a a
0 b 0 0 a b
0 b 0 0 a c
0 b 0 0 b 0
0 b 0 0 b a
0 b 0 0 b b
0 b 0 0 b c
0 b 0 0 c 0
0 b 0 0 c a
0 b 0 0 c b
0 b 0 0 c c
0 b 0 a 0 0
0 b 0 a 0 a
0 b 0 a 0 b
0 b 0 a 0 c
0 b 0 a a 0
0 b 0 a a a
0 b 0 a a b
0 b 0 a a c
0 b 0 a b 0
0 b 0 a b a
0 b 0 a b b
0 b 0 a b c
0 b 0 a c 0
0 b 0 a c a
0 b 0 a c b
0 b 0 a c c
0 b 0 b 0 0
0 b 0 b 0 a
0 b 0 b 0 b
0 b 0 b 0 c
0 b 0 b a 0
0 b 0 b a a
0 b 0 b a b
0 b 0 b a c
0 b 0 b b 0
0 b 0 b b a
0 b 0 b b b
0 b 0 b b c
0 b 0 b c 0
0 b 0 b c a
0 b 0 b c b
0 b 0 b c c
0 b 0 c 0 0
0 b 0 c 0 a
0 b 0 c 0 b
0 b 0 c 0 c
0 b 0 c a 0
0 b 0 c a a
0 b 0 c a b
0 b 0 c a c
0 b 0 c b 0
0 b 0 c b a
0 b 0 c b b
0 b 0 c b c
0 b 0 c c 0
0 b 0 c c a
0 b 0 c c b
0 b 0 c c c
0 b a 0 0 0
0 b a 0 0 a
0 b a 0 0 b
0 b a 0 0 c
0 b a 0 a 0
0 b a 0 a a
0 b a 0 a b
0 b a 0 a c
0 b a 0 b 0
0 b a 0 b a
0 b a 0 b b
0 b a 0 b c
0 b a 0 c 0
0 b a 0 c a
0 b a 0 c b
0 b a 0 c c
0 b a a 0 0
0 b a a 0 a
0 b a a 0 b
0 b a a 0 c
0 b a a a 0
0 b a a a a
0 b a a a b
0 b a a a c
0 b a a b 0
0 b a a b a
0 b a a b b
0 b a a b c
0 b a a c 0
0 b a a c a
0 b a a c b
0 b a a c c
0 b a b 0 0
0 b a b 0 a
0 b a b 0 b
0 b a b 0 c
0 b a b a 0
0 b a b a a
0 b a b a b
0 b a b a c
0 b a b b 0
0 b a b b a
0 b a b b b
0 b a b b c
0 b a b c 0
0 b a b c a
0 b a b c b
0 b a b c c
0 b a c 0 0
0 b a c 0 a
0 b a c 0 b
0 b a c 0 c
0 b a c a 0
0 b a c a a
0 b a c a b
0 b a c a c
0 b a c b 0
0 b a c b a
0 b a c b b
0 b a c b c
0 b a c c 0
0 b a c c a
0 b a c c b
0 b a c c c
0 b b 0 0 0
0 b b 0 0 a
0 b b 0 0 b
0 b b 0 0 c
0 b b 0 a 0
0 b b 0 a a
0 b b 0 a b
0 b b 0 a c
0 b b 0 b 0
0 b b 0 b a
0 b b 0 b b
0 b b 0 b c
0 b b 0 c 0
0 b b 0 c a
0 b b 0 c b
0 b b 0 c c
0 b b a 0 0
0 b b a 0 a
0 b b a 0 b
0 b b a 0 c
0 b b a a 0
0 b b a a a
0 b b a a b
0 b b a a c
0 b b a b 0
0 b b a b a
0 b b a b b
0 b b a b c
0 b b a c 0
0 b b a c a
0 b b a c b
0 b b a c c
0 b b b 0 0
0 b b b 0 a
0 b b b 0 b
0 b b b 0 c
0 b b b a 0
0 b b b a a
0 b b b a b
0 b b b a c
0 b b b b 0
0 b b b b a
0 b b b b b
0 b b b b c
0 b b b c 0
0 b b b c a
0 b b b c b
0 b b b c c
0 b b c 0 0
0 b b c 0 a
0 b b c 0 b
0 b b c 0 c
0 b b c a 0
0 b b c a a
0 b b c a b
0 b b c a c
0 b b c b 0
0 b b c b a
0 b b c b b
0 b b c b c
0 b b c c 0
0 b b c c a
0 b b c c b
0 b b c c c
0 b c 0 0 0
0 b c 0 0 a
0 b c 0 0 b
0 b c 0 0 c
0 b c 0 a 0
0 b c 0 a a
0 b c 0 a b
0 b c 0 a c
0 b c 0 b 0
0 b c 0 b a
0 b c 0 b b
0 b c 0 b c
0 b c 0 c 0
0 b c 0 c a
0 b c 0 c b
0 b c 0 c c
0 b c a 0 0
0 b c a 0 a
0 b c a 0 b
0 b c a 0 c
0 b c a a 0
0 b c a a a
0 b c a a b
0 b c a a c
0 b c a b 0
0 b c a b a
0 b c a b b
0 b c a b c
0 b c a c 0
0 b c a c a
0 b c a c b
0 b c a c c
0 b c b 0 0
0 b c b 0 a
0 b c b 0 b
0 b c b 0 c
0 b c b a 0
0 b c b a a
0 b c b a b
0 b c b a c
0 b c b b 0
0 b c b b a
0 b c b b b
0 b c b b c
0 b c b c 0
0 b c b c a
0 b c b c b
0 b c b c c
0 b c c 0 0
0 b c c 0 a
0 b c c 0 b
0 b c c 0 c
0 b c c a 0
0 b c c a a
0 b c c a b
0 b c c a c
0 b c c b 0
0 b c c b a
0 b c c b b
0 b c c b c
0 b c c c 0
0 b c c c a
0 b c c c b
0 b c c c c
0 c 0 0 0 0
0 c 0 0 0 a
0 c 0 0 0 b
0 c 0 0 0 c
0 c 0 0 a 0
0 c 0 0 a a
0 c 0 0 a b
0 c 0 0 a c
0 c 0 0 b 0
0 c 0 0 b a
0 c 0 0 b b
0 c 0 0 b c
0 c 0 0 c 0
0 c 0 0 c a
0 c 0 0 c b
0 c 0 0 c c
0 c 0 a 0 0
0 c 0 a 0 a
0 c 0 a 0 b
0 c 0 a 0 c
0 c 0 a a 0
0 c 0 a a a
0 c 0 a a b
0 c 0 a a c
0 c 0 a b 0
0 c 0 a b a
0 c 0 a b b
0 c 0 a b c
0 c 0 a c 0
0 c 0 a c a
0 c 0 a c b
0 c 0 a c c
0 c 0 b 0 0
0 c 0 b 0 a
0 c 0 b 0 b
0 c 0 b 0 c
0 c 0 b a 0
0 c 0 b a a
0 c 0 b a b
0 c 0 b a c
0 c 0 b b 0
0 c 0 b b a
0 c 0 b b b
0 c 0 b b c
0 c 0 b c 0
0 c 0 b c a
0 c 0 b c b
0 c 0 b c c
0 c 0 c 0 0
0 c 0 c 0 a
0 c 0 c 0 b
0 c 0 c 0 c
0 c 0 c a 0
0 c 0 c a a
0 c 0 c a b
0 c 0 c a c
0 c 0 c b 0
0 c 0 c b a
0 c 0 c b b
0 c 0 c b c
0 c 0 c c 0
0 c 0 c c a
0 c 0 c c b
0 c 0 c c c
0 c a 0 0 0
0 c a 0 0 a
0 c a 0 0 b
0 c a 0 0 c
0 c a 0 a 0
0 c a 0 a a
0 c a 0 a b
0 c a 0 a c
0 c a 0 b 0
0 c a 0 b a
0 c a 0 b b
0 c a 0 b c
0 c a 0 c 0
0 c a 0 c a
0 c a 0 c b
0 c a 0 c c
0 c a a 0 0
0 c a a 0 a
0 c a a 0 b
0 c a a 0 c
0 c a a a 0
0 c a a a a
0 c a a a b
0 c a a a c
0 c a a b 0
0 c a a b a
0 c a a b b
0 c a a b c
0 c a a c 0
0 c a a c a
0 c a a c b
0 c a a c c
0 c a b 0 0
0 c a b 0 a
0 c a b 0 b
0 c a b 0 c
0 c a b a 0
0 c a b a a
0 c a b a b
0 c a b a c
0 c a b b 0
0 c a b b a
0 c a b b b
0 c a b b c
0 c a b c 0
0 c a b c a
0 c a b c b
0 c a b c c
0 c a c 0 0
0 c a c 0 a
0 c a c 0 b
0 c a c 0 c
0 c a c a 0
0 c a c a a
0 c a c a b
0 c a c a c
0 c a c b 0
0 c a c b a
0 c a c b b
0 c a c b c
0 c a c c 0
0 c a c c a
0 c a c c b
0 c a c c c
0 c b 0 0 0
0 c b 0 0 a
0 c b 0 0 b
0 c b 0 0 c
0 c b 0 a 0
0 c b 0 a a
0 c b 0 a b
0 c b 0 a c
0 c b 0 b 0
0 c b 0 b a
0 c b 0 b b
0 c b 0 b c
0 c b 0 c 0
0 c b 0 c a
0 c b 0 c b
0 c b 0 c c
0 c b a 0 0
0 c b a 0 a
0 c b a 0 b
0 c b a 0 c
0 c b a a 0
0 c b a a a
0 c b a a b
0 c b a a c
0 c b a b 0
0 c b a b a
0 c b a b b
0 c b a b c
0 c b a c 0
0 c b a c a
0 c b a c b
0 c b a c c
0 c b b 0 0
0 c b b 0 a
0 c b b 0 b
0 c b b 0 c
0 c b b a 0
0 c b b a a
0 c b b a b
0 c b b a c
0 c b b b 0
0 c b b b a
0 c b b b b
0 c b b b c
0 c b b c 0
0 c b b c a
0 c b b c b
0 c b b c c
0 c b c 0 0
0 c b c 0 a
0 c b c 0 b
0 c b c 0 c
0 c b c a 0
0 c b c a a
0 c b c a b
0 c b c a c
0 c b c b 0
0 c b c b a
0 c b c b b
0 c b c b c
0 c b c c 0
0 c b c c a
0 c b c c b
0 c b c c c
0 c c 0 0 0
0 c c 0 0 a
0 c c 0 0 b
0 c c 0 0 c
0 c c 0 a 0
0 c c 0 a a
0 c c 0 a b
0 c c 0 a c
0 c c 0 b 0
0 c c 0 b a
0 c c 0 b b
0 c c 0 b c
0 c c 0 c 0
0 c c 0 c a
0 c c 0 c b
0 c c 0 c c
0 c c a 0 0
0 c c a 0 a
0 c c a 0 b
0 c c a 0 c
0 c c a a 0
0 c c a a a
0 c c a a b
0 c c a a c
0 c c a b 0
0 c c a b a
0 c c a b b
0 c c a b c
0 c c a c 0
0 c c a c a
0 c c a c b
0 c c a c c
0 c c b 0 0
0 c c b 0 a
0 c c b 0 b
0 c c b 0 c
0 c c b a 0
0 c c b a a
0 c c b a b
0 c c b a c
0 c c b b 0
0 c c b b a
0 c c b b b
0 c c b b c
0 c c b c 0
0 c c b c a
0 c c b c b
0 c c b c c
0 c c c 0 0
0 c c c 0 a
0 c c c 0 b
0 c c c 0 c
0 c c c a 0
0 c c c a a
0 c c c a b
0 c c c a c
0 c c c b 0
0 c c c b a
0 c c c b b
0 c c c b c
0 c c c c 0
0 c c c c a
0 c c c c b
0 c c c c c
Is it a nice code?: No
Generator Matrix-14
a 0 0 0 0 0
b 0 0 0 0 0
0 c 0 0 0 c
0 0 c 0 0 c
0 0 0 c 0 0
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 0
0 0 0 c c c
0 0 c 0 0 c
0 0 c 0 c 0
0 0 c c 0 c
0 0 c c c 0
0 c 0 0 0 c
0 c 0 0 c 0
0 c 0 c 0 c
0 c 0 c c 0
0 c c 0 0 0
0 c c 0 c c
0 c c c 0 0
0 c c c c c
b 0 0 0 0 0
b 0 0 0 c c
b 0 0 c 0 0
b 0 0 c c c
b 0 c 0 0 c
b 0 c 0 c 0
b 0 c c 0 c
b 0 c c c 0
b c 0 0 0 c
b c 0 0 c 0
b c 0 c 0 c
b c 0 c c 0
b c c 0 0 0
b c c 0 c c
b c c c 0 0
b c c c c c
a 0 0 0 0 0
a 0 0 0 c c
a 0 0 c 0 0
a 0 0 c c c
a 0 c 0 0 c
a 0 c 0 c 0
a 0 c c 0 c
a 0 c c c 0
a c 0 0 0 c
a c 0 0 c 0
a c 0 c 0 c
a c 0 c c 0
a c c 0 0 0
a c c 0 c c
a c c c 0 0
a c c c c c
c 0 0 0 0 0
c 0 0 0 c c
c 0 0 c 0 0
c 0 0 c c c
c 0 c 0 0 c
c 0 c 0 c 0
c 0 c c 0 c
c 0 c c c 0
c c 0 0 0 c
c c 0 0 c 0
c c 0 c 0 c
c c 0 c c 0
c c c 0 0 0
c c c 0 c c
c c c c 0 0
c c c c c c
dmin: 1
Weight Enumerator: 1x0 + 4x1 + 9x2 + 24x3 + 19x4 + 4x5 + 3x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)5 (X_b)1 + (X_0)3 (X_b)1 (X_c)2 + (X_0)4 (X_b)1 (X_c)1 + (X_0)2 (X_b)1 (X_c)3 + (X_0)3 (X_b)1 (X_c)2 + (X_0)3 (X_b)1 (X_c)2 + (X_0)2 (X_b)1 (X_c)3 + (X_0)2 (X_b)1 (X_c)3 + (X_0)3 (X_b)1 (X_c)2 + (X_0)3 (X_b)1 (X_c)2 + (X_0)2 (X_b)1 (X_c)3 + (X_0)2 (X_b)1 (X_c)3 + (X_0)3 (X_b)1 (X_c)2 + (X_0)1 (X_b)1 (X_c)4 + (X_0)2 (X_b)1 (X_c)3 + (X_b)1 (X_c)5 + (X_0)5 (X_a)1 + (X_0)3 (X_a)1 (X_c)2 + (X_0)4 (X_a)1 (X_c)1 + (X_0)2 (X_a)1 (X_c)3 + (X_0)3 (X_a)1 (X_c)2 + (X_0)3 (X_a)1 (X_c)2 + (X_0)2 (X_a)1 (X_c)3 + (X_0)2 (X_a)1 (X_c)3 + (X_0)3 (X_a)1 (X_c)2 + (X_0)3 (X_a)1 (X_c)2 + (X_0)2 (X_a)1 (X_c)3 + (X_0)2 (X_a)1 (X_c)3 + (X_0)3 (X_a)1 (X_c)2 + (X_0)1 (X_a)1 (X_c)4 + (X_0)2 (X_a)1 (X_c)3 + (X_a)1 (X_c)5 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_c)6
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 a a 0
0 0 0 a a a
0 0 0 a a b
0 0 0 a a c
0 0 0 a b 0
0 0 0 a b a
0 0 0 a b b
0 0 0 a b c
0 0 0 a c 0
0 0 0 a c a
0 0 0 a c b
0 0 0 a c c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 b a 0
0 0 0 b a a
0 0 0 b a b
0 0 0 b a c
0 0 0 b b 0
0 0 0 b b a
0 0 0 b b b
0 0 0 b b c
0 0 0 b c 0
0 0 0 b c a
0 0 0 b c b
0 0 0 b c c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c
0 0 0 c a 0
0 0 0 c a a
0 0 0 c a b
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0 c c c b c
0 c c c c 0
0 c c c c a
0 c c c c b
0 c c c c c
Is it a nice code?: No
Generator Matrix-15
a 0 0 0 0 0
b 0 0 0 0 0
0 c 0 0 0 c
0 0 c 0 0 c
0 0 0 c 0 c
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 c
0 0 0 c c c
0 0 c 0 0 c
0 0 c 0 c c
0 0 c c 0 0
0 0 c c c 0
0 c 0 0 0 c
0 c 0 0 c c
0 c 0 c 0 0
0 c 0 c c 0
0 c c 0 0 0
0 c c 0 c 0
0 c c c 0 c
0 c c c c c
b 0 0 0 0 0
b 0 0 0 c 0
b 0 0 c 0 c
b 0 0 c c c
b 0 c 0 0 c
b 0 c 0 c c
b 0 c c 0 0
b 0 c c c 0
b c 0 0 0 c
b c 0 0 c c
b c 0 c 0 0
b c 0 c c 0
b c c 0 0 0
b c c 0 c 0
b c c c 0 c
b c c c c c
a 0 0 0 0 0
a 0 0 0 c 0
a 0 0 c 0 c
a 0 0 c c c
a 0 c 0 0 c
a 0 c 0 c c
a 0 c c 0 0
a 0 c c c 0
a c 0 0 0 c
a c 0 0 c c
a c 0 c 0 0
a c 0 c c 0
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a c c c c c
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dmin: 1
Weight Enumerator: 1x0 + 4x1 + 9x2 + 24x3 + 19x4 + 4x5 + 3x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)5 (X_b)1 + (X_0)4 (X_b)1 (X_c)1 + (X_0)3 (X_b)1 (X_c)2 + (X_0)2 (X_b)1 (X_c)3 + (X_0)3 (X_b)1 (X_c)2 + (X_0)2 (X_b)1 (X_c)3 + (X_0)3 (X_b)1 (X_c)2 + (X_0)2 (X_b)1 (X_c)3 + (X_0)3 (X_b)1 (X_c)2 + (X_0)2 (X_b)1 (X_c)3 + (X_0)3 (X_b)1 (X_c)2 + (X_0)2 (X_b)1 (X_c)3 + (X_0)3 (X_b)1 (X_c)2 + (X_0)2 (X_b)1 (X_c)3 + (X_0)1 (X_b)1 (X_c)4 + (X_b)1 (X_c)5 + (X_0)5 (X_a)1 + (X_0)4 (X_a)1 (X_c)1 + (X_0)3 (X_a)1 (X_c)2 + (X_0)2 (X_a)1 (X_c)3 + (X_0)3 (X_a)1 (X_c)2 + (X_0)2 (X_a)1 (X_c)3 + (X_0)3 (X_a)1 (X_c)2 + (X_0)2 (X_a)1 (X_c)3 + (X_0)3 (X_a)1 (X_c)2 + (X_0)2 (X_a)1 (X_c)3 + (X_0)3 (X_a)1 (X_c)2 + (X_0)2 (X_a)1 (X_c)3 + (X_0)3 (X_a)1 (X_c)2 + (X_0)2 (X_a)1 (X_c)3 + (X_0)1 (X_a)1 (X_c)4 + (X_a)1 (X_c)5 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_c)6
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0 c a b a c
0 c a b b 0
0 c a b b a
0 c a b b b
0 c a b b c
0 c a b c 0
0 c a b c a
0 c a b c b
0 c a b c c
0 c a c 0 0
0 c a c 0 a
0 c a c 0 b
0 c a c 0 c
0 c a c a 0
0 c a c a a
0 c a c a b
0 c a c a c
0 c a c b 0
0 c a c b a
0 c a c b b
0 c a c b c
0 c a c c 0
0 c a c c a
0 c a c c b
0 c a c c c
0 c b 0 0 0
0 c b 0 0 a
0 c b 0 0 b
0 c b 0 0 c
0 c b 0 a 0
0 c b 0 a a
0 c b 0 a b
0 c b 0 a c
0 c b 0 b 0
0 c b 0 b a
0 c b 0 b b
0 c b 0 b c
0 c b 0 c 0
0 c b 0 c a
0 c b 0 c b
0 c b 0 c c
0 c b a 0 0
0 c b a 0 a
0 c b a 0 b
0 c b a 0 c
0 c b a a 0
0 c b a a a
0 c b a a b
0 c b a a c
0 c b a b 0
0 c b a b a
0 c b a b b
0 c b a b c
0 c b a c 0
0 c b a c a
0 c b a c b
0 c b a c c
0 c b b 0 0
0 c b b 0 a
0 c b b 0 b
0 c b b 0 c
0 c b b a 0
0 c b b a a
0 c b b a b
0 c b b a c
0 c b b b 0
0 c b b b a
0 c b b b b
0 c b b b c
0 c b b c 0
0 c b b c a
0 c b b c b
0 c b b c c
0 c b c 0 0
0 c b c 0 a
0 c b c 0 b
0 c b c 0 c
0 c b c a 0
0 c b c a a
0 c b c a b
0 c b c a c
0 c b c b 0
0 c b c b a
0 c b c b b
0 c b c b c
0 c b c c 0
0 c b c c a
0 c b c c b
0 c b c c c
0 c c 0 0 0
0 c c 0 0 a
0 c c 0 0 b
0 c c 0 0 c
0 c c 0 a 0
0 c c 0 a a
0 c c 0 a b
0 c c 0 a c
0 c c 0 b 0
0 c c 0 b a
0 c c 0 b b
0 c c 0 b c
0 c c 0 c 0
0 c c 0 c a
0 c c 0 c b
0 c c 0 c c
0 c c a 0 0
0 c c a 0 a
0 c c a 0 b
0 c c a 0 c
0 c c a a 0
0 c c a a a
0 c c a a b
0 c c a a c
0 c c a b 0
0 c c a b a
0 c c a b b
0 c c a b c
0 c c a c 0
0 c c a c a
0 c c a c b
0 c c a c c
0 c c b 0 0
0 c c b 0 a
0 c c b 0 b
0 c c b 0 c
0 c c b a 0
0 c c b a a
0 c c b a b
0 c c b a c
0 c c b b 0
0 c c b b a
0 c c b b b
0 c c b b c
0 c c b c 0
0 c c b c a
0 c c b c b
0 c c b c c
0 c c c 0 0
0 c c c 0 a
0 c c c 0 b
0 c c c 0 c
0 c c c a 0
0 c c c a a
0 c c c a b
0 c c c a c
0 c c c b 0
0 c c c b a
0 c c c b b
0 c c c b c
0 c c c c 0
0 c c c c a
0 c c c c b
0 c c c c c
Is it a nice code?: No
Generator Matrix-16
a 0 0 0 0 0
b 0 0 0 0 0
0 c 0 0 0 c
0 0 c 0 0 c
0 0 0 c 0 c
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 c
0 0 0 c c 0
0 0 c 0 0 c
0 0 c 0 c 0
0 0 c c 0 0
0 0 c c c c
0 c 0 0 0 c
0 c 0 0 c 0
0 c 0 c 0 0
0 c 0 c c c
0 c c 0 0 0
0 c c 0 c c
0 c c c 0 c
0 c c c c 0
b 0 0 0 0 0
b 0 0 0 c c
b 0 0 c 0 c
b 0 0 c c 0
b 0 c 0 0 c
b 0 c 0 c 0
b 0 c c 0 0
b 0 c c c c
b c 0 0 0 c
b c 0 0 c 0
b c 0 c 0 0
b c 0 c c c
b c c 0 0 0
b c c 0 c c
b c c c 0 c
b c c c c 0
a 0 0 0 0 0
a 0 0 0 c c
a 0 0 c 0 c
a 0 0 c c 0
a 0 c 0 0 c
a 0 c 0 c 0
a 0 c c 0 0
a 0 c c c c
a c 0 0 0 c
a c 0 0 c 0
a c 0 c 0 0
a c 0 c c c
a c c 0 0 0
a c c 0 c c
a c c c 0 c
a c c c c 0
c 0 0 0 0 0
c 0 0 0 c c
c 0 0 c 0 c
c 0 0 c c 0
c 0 c 0 0 c
c 0 c 0 c 0
c 0 c c 0 0
c 0 c c c c
c c 0 0 0 c
c c 0 0 c 0
c c 0 c 0 0
c c 0 c c c
c c c 0 0 0
c c c 0 c c
c c c c 0 c
c c c c c 0
dmin: 1
Weight Enumerator: 1x0 + 3x1 + 10x2 + 30x3 + 5x4 + 15x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)5 (X_b)1 + (X_0)3 (X_b)1 (X_c)2 + (X_0)3 (X_b)1 (X_c)2 + (X_0)3 (X_b)1 (X_c)2 + (X_0)3 (X_b)1 (X_c)2 + (X_0)3 (X_b)1 (X_c)2 + (X_0)3 (X_b)1 (X_c)2 + (X_0)1 (X_b)1 (X_c)4 + (X_0)3 (X_b)1 (X_c)2 + (X_0)3 (X_b)1 (X_c)2 + (X_0)3 (X_b)1 (X_c)2 + (X_0)1 (X_b)1 (X_c)4 + (X_0)3 (X_b)1 (X_c)2 + (X_0)1 (X_b)1 (X_c)4 + (X_0)1 (X_b)1 (X_c)4 + (X_0)1 (X_b)1 (X_c)4 + (X_0)5 (X_a)1 + (X_0)3 (X_a)1 (X_c)2 + (X_0)3 (X_a)1 (X_c)2 + (X_0)3 (X_a)1 (X_c)2 + (X_0)3 (X_a)1 (X_c)2 + (X_0)3 (X_a)1 (X_c)2 + (X_0)3 (X_a)1 (X_c)2 + (X_0)1 (X_a)1 (X_c)4 + (X_0)3 (X_a)1 (X_c)2 + (X_0)3 (X_a)1 (X_c)2 + (X_0)3 (X_a)1 (X_c)2 + (X_0)1 (X_a)1 (X_c)4 + (X_0)3 (X_a)1 (X_c)2 + (X_0)1 (X_a)1 (X_c)4 + (X_0)1 (X_a)1 (X_c)4 + (X_0)1 (X_a)1 (X_c)4 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 a a 0
0 0 0 a a a
0 0 0 a a b
0 0 0 a a c
0 0 0 a b 0
0 0 0 a b a
0 0 0 a b b
0 0 0 a b c
0 0 0 a c 0
0 0 0 a c a
0 0 0 a c b
0 0 0 a c c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 b a 0
0 0 0 b a a
0 0 0 b a b
0 0 0 b a c
0 0 0 b b 0
0 0 0 b b a
0 0 0 b b b
0 0 0 b b c
0 0 0 b c 0
0 0 0 b c a
0 0 0 b c b
0 0 0 b c c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c
0 0 0 c a 0
0 0 0 c a a
0 0 0 c a b
0 0 0 c a c
0 0 0 c b 0
0 0 0 c b a
0 0 0 c b b
0 0 0 c b c
0 0 0 c c 0
0 0 0 c c a
0 0 0 c c b
0 0 0 c c c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 a 0 a 0
0 0 a 0 a a
0 0 a 0 a b
0 0 a 0 a c
0 0 a 0 b 0
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0 0 a 0 b b
0 0 a 0 b c
0 0 a 0 c 0
0 0 a 0 c a
0 0 a 0 c b
0 0 a 0 c c
0 0 a a 0 0
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0 0 a a 0 b
0 0 a a 0 c
0 0 a a a 0
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0 0 a a a c
0 0 a a b 0
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0 0 a a c c
0 0 a b 0 0
0 0 a b 0 a
0 0 a b 0 b
0 0 a b 0 c
0 0 a b a 0
0 0 a b a a
0 0 a b a b
0 0 a b a c
0 0 a b b 0
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0 0 a b b b
0 0 a b b c
0 0 a b c 0
0 0 a b c a
0 0 a b c b
0 0 a b c c
0 0 a c 0 0
0 0 a c 0 a
0 0 a c 0 b
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0 0 a c a 0
0 0 a c a a
0 0 a c a b
0 0 a c a c
0 0 a c b 0
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0 0 a c b b
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0 0 a c c 0
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0 0 a c c b
0 0 a c c c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 b 0 a 0
0 0 b 0 a a
0 0 b 0 a b
0 0 b 0 a c
0 0 b 0 b 0
0 0 b 0 b a
0 0 b 0 b b
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0 0 b 0 c 0
0 0 b 0 c a
0 0 b 0 c b
0 0 b 0 c c
0 0 b a 0 0
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0 0 b a 0 b
0 0 b a 0 c
0 0 b a a 0
0 0 b a a a
0 0 b a a b
0 0 b a a c
0 0 b a b 0
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0 0 b a b b
0 0 b a b c
0 0 b a c 0
0 0 b a c a
0 0 b a c b
0 0 b a c c
0 0 b b 0 0
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0 0 b b 0 b
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0 0 b b a 0
0 0 b b a a
0 0 b b a b
0 0 b b a c
0 0 b b b 0
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0 0 b b b b
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0 0 b b c 0
0 0 b b c a
0 0 b b c b
0 0 b b c c
0 0 b c 0 0
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0 0 b c 0 b
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0 0 b c a 0
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0 0 b c a b
0 0 b c a c
0 0 b c b 0
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0 0 b c b b
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0 0 b c c 0
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0 0 b c c b
0 0 b c c c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
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0 0 c 0 a 0
0 0 c 0 a a
0 0 c 0 a b
0 0 c 0 a c
0 0 c 0 b 0
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0 0 c 0 c 0
0 0 c 0 c a
0 0 c 0 c b
0 0 c 0 c c
0 0 c a 0 0
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0 0 c a 0 b
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0 0 c a a 0
0 0 c a a a
0 0 c a a b
0 0 c a a c
0 0 c a b 0
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0 0 c a b b
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0 0 c a c 0
0 0 c a c a
0 0 c a c b
0 0 c a c c
0 0 c b 0 0
0 0 c b 0 a
0 0 c b 0 b
0 0 c b 0 c
0 0 c b a 0
0 0 c b a a
0 0 c b a b
0 0 c b a c
0 0 c b b 0
0 0 c b b a
0 0 c b b b
0 0 c b b c
0 0 c b c 0
0 0 c b c a
0 0 c b c b
0 0 c b c c
0 0 c c 0 0
0 0 c c 0 a
0 0 c c 0 b
0 0 c c 0 c
0 0 c c a 0
0 0 c c a a
0 0 c c a b
0 0 c c a c
0 0 c c b 0
0 0 c c b a
0 0 c c b b
0 0 c c b c
0 0 c c c 0
0 0 c c c a
0 0 c c c b
0 0 c c c c
0 a 0 0 0 0
0 a 0 0 0 a
0 a 0 0 0 b
0 a 0 0 0 c
0 a 0 0 a 0
0 a 0 0 a a
0 a 0 0 a b
0 a 0 0 a c
0 a 0 0 b 0
0 a 0 0 b a
0 a 0 0 b b
0 a 0 0 b c
0 a 0 0 c 0
0 a 0 0 c a
0 a 0 0 c b
0 a 0 0 c c
0 a 0 a 0 0
0 a 0 a 0 a
0 a 0 a 0 b
0 a 0 a 0 c
0 a 0 a a 0
0 a 0 a a a
0 a 0 a a b
0 a 0 a a c
0 a 0 a b 0
0 a 0 a b a
0 a 0 a b b
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0 a 0 a c 0
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0 a 0 a c b
0 a 0 a c c
0 a 0 b 0 0
0 a 0 b 0 a
0 a 0 b 0 b
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0 a 0 b a 0
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0 a 0 b a b
0 a 0 b a c
0 a 0 b b 0
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0 a 0 b b b
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0 a 0 b c b
0 a 0 b c c
0 a 0 c 0 0
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0 a 0 c 0 b
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0 a 0 c a 0
0 a 0 c a a
0 a 0 c a b
0 a 0 c a c
0 a 0 c b 0
0 a 0 c b a
0 a 0 c b b
0 a 0 c b c
0 a 0 c c 0
0 a 0 c c a
0 a 0 c c b
0 a 0 c c c
0 a a 0 0 0
0 a a 0 0 a
0 a a 0 0 b
0 a a 0 0 c
0 a a 0 a 0
0 a a 0 a a
0 a a 0 a b
0 a a 0 a c
0 a a 0 b 0
0 a a 0 b a
0 a a 0 b b
0 a a 0 b c
0 a a 0 c 0
0 a a 0 c a
0 a a 0 c b
0 a a 0 c c
0 a a a 0 0
0 a a a 0 a
0 a a a 0 b
0 a a a 0 c
0 a a a a 0
0 a a a a a
0 a a a a b
0 a a a a c
0 a a a b 0
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0 a a a b b
0 a a a b c
0 a a a c 0
0 a a a c a
0 a a a c b
0 a a a c c
0 a a b 0 0
0 a a b 0 a
0 a a b 0 b
0 a a b 0 c
0 a a b a 0
0 a a b a a
0 a a b a b
0 a a b a c
0 a a b b 0
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0 a a b b c
0 a a b c 0
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0 a a c 0 0
0 a a c 0 a
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0 a a c a b
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0 a a c b 0
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0 a a c b b
0 a a c b c
0 a a c c 0
0 a a c c a
0 a a c c b
0 a a c c c
0 a b 0 0 0
0 a b 0 0 a
0 a b 0 0 b
0 a b 0 0 c
0 a b 0 a 0
0 a b 0 a a
0 a b 0 a b
0 a b 0 a c
0 a b 0 b 0
0 a b 0 b a
0 a b 0 b b
0 a b 0 b c
0 a b 0 c 0
0 a b 0 c a
0 a b 0 c b
0 a b 0 c c
0 a b a 0 0
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0 a b a a b
0 a b a a c
0 a b a b 0
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0 a b b 0 0
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0 a b b c 0
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0 a b c a b
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0 a b c c 0
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0 a c 0 0 0
0 a c 0 0 a
0 a c 0 0 b
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0 a c 0 a 0
0 a c 0 a a
0 a c 0 a b
0 a c 0 a c
0 a c 0 b 0
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0 a c 0 b b
0 a c 0 b c
0 a c 0 c 0
0 a c 0 c a
0 a c 0 c b
0 a c 0 c c
0 a c a 0 0
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0 a c a a b
0 a c a a c
0 a c a b 0
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0 a c a b b
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0 a c b b 0
0 a c b b a
0 a c b b b
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0 a c b c b
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0 a c c 0 0
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0 a c c b 0
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0 a c c b b
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0 a c c c 0
0 a c c c a
0 a c c c b
0 a c c c c
0 b 0 0 0 0
0 b 0 0 0 a
0 b 0 0 0 b
0 b 0 0 0 c
0 b 0 0 a 0
0 b 0 0 a a
0 b 0 0 a b
0 b 0 0 a c
0 b 0 0 b 0
0 b 0 0 b a
0 b 0 0 b b
0 b 0 0 b c
0 b 0 0 c 0
0 b 0 0 c a
0 b 0 0 c b
0 b 0 0 c c
0 b 0 a 0 0
0 b 0 a 0 a
0 b 0 a 0 b
0 b 0 a 0 c
0 b 0 a a 0
0 b 0 a a a
0 b 0 a a b
0 b 0 a a c
0 b 0 a b 0
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0 b 0 a b b
0 b 0 a b c
0 b 0 a c 0
0 b 0 a c a
0 b 0 a c b
0 b 0 a c c
0 b 0 b 0 0
0 b 0 b 0 a
0 b 0 b 0 b
0 b 0 b 0 c
0 b 0 b a 0
0 b 0 b a a
0 b 0 b a b
0 b 0 b a c
0 b 0 b b 0
0 b 0 b b a
0 b 0 b b b
0 b 0 b b c
0 b 0 b c 0
0 b 0 b c a
0 b 0 b c b
0 b 0 b c c
0 b 0 c 0 0
0 b 0 c 0 a
0 b 0 c 0 b
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0 b 0 c a 0
0 b 0 c a a
0 b 0 c a b
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0 b 0 c b 0
0 b 0 c b a
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0 b 0 c c 0
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0 b a 0 0 0
0 b a 0 0 a
0 b a 0 0 b
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0 b a 0 a 0
0 b a 0 a a
0 b a 0 a b
0 b a 0 a c
0 b a 0 b 0
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0 b a 0 b b
0 b a 0 b c
0 b a 0 c 0
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0 b a 0 c b
0 b a 0 c c
0 b a a 0 0
0 b a a 0 a
0 b a a 0 b
0 b a a 0 c
0 b a a a 0
0 b a a a a
0 b a a a b
0 b a a a c
0 b a a b 0
0 b a a b a
0 b a a b b
0 b a a b c
0 b a a c 0
0 b a a c a
0 b a a c b
0 b a a c c
0 b a b 0 0
0 b a b 0 a
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0 b a b 0 c
0 b a b a 0
0 b a b a a
0 b a b a b
0 b a b a c
0 b a b b 0
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0 b a b b b
0 b a b b c
0 b a b c 0
0 b a b c a
0 b a b c b
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0 b a c 0 0
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0 b b 0 c 0
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0 b b a 0 0
0 b b a 0 a
0 b b a 0 b
0 b b a 0 c
0 b b a a 0
0 b b a a a
0 b b a a b
0 b b a a c
0 b b a b 0
0 b b a b a
0 b b a b b
0 b b a b c
0 b b a c 0
0 b b a c a
0 b b a c b
0 b b a c c
0 b b b 0 0
0 b b b 0 a
0 b b b 0 b
0 b b b 0 c
0 b b b a 0
0 b b b a a
0 b b b a b
0 b b b a c
0 b b b b 0
0 b b b b a
0 b b b b b
0 b b b b c
0 b b b c 0
0 b b b c a
0 b b b c b
0 b b b c c
0 b b c 0 0
0 b b c 0 a
0 b b c 0 b
0 b b c 0 c
0 b b c a 0
0 b b c a a
0 b b c a b
0 b b c a c
0 b b c b 0
0 b b c b a
0 b b c b b
0 b b c b c
0 b b c c 0
0 b b c c a
0 b b c c b
0 b b c c c
0 b c 0 0 0
0 b c 0 0 a
0 b c 0 0 b
0 b c 0 0 c
0 b c 0 a 0
0 b c 0 a a
0 b c 0 a b
0 b c 0 a c
0 b c 0 b 0
0 b c 0 b a
0 b c 0 b b
0 b c 0 b c
0 b c 0 c 0
0 b c 0 c a
0 b c 0 c b
0 b c 0 c c
0 b c a 0 0
0 b c a 0 a
0 b c a 0 b
0 b c a 0 c
0 b c a a 0
0 b c a a a
0 b c a a b
0 b c a a c
0 b c a b 0
0 b c a b a
0 b c a b b
0 b c a b c
0 b c a c 0
0 b c a c a
0 b c a c b
0 b c a c c
0 b c b 0 0
0 b c b 0 a
0 b c b 0 b
0 b c b 0 c
0 b c b a 0
0 b c b a a
0 b c b a b
0 b c b a c
0 b c b b 0
0 b c b b a
0 b c b b b
0 b c b b c
0 b c b c 0
0 b c b c a
0 b c b c b
0 b c b c c
0 b c c 0 0
0 b c c 0 a
0 b c c 0 b
0 b c c 0 c
0 b c c a 0
0 b c c a a
0 b c c a b
0 b c c a c
0 b c c b 0
0 b c c b a
0 b c c b b
0 b c c b c
0 b c c c 0
0 b c c c a
0 b c c c b
0 b c c c c
0 c 0 0 0 0
0 c 0 0 0 a
0 c 0 0 0 b
0 c 0 0 0 c
0 c 0 0 a 0
0 c 0 0 a a
0 c 0 0 a b
0 c 0 0 a c
0 c 0 0 b 0
0 c 0 0 b a
0 c 0 0 b b
0 c 0 0 b c
0 c 0 0 c 0
0 c 0 0 c a
0 c 0 0 c b
0 c 0 0 c c
0 c 0 a 0 0
0 c 0 a 0 a
0 c 0 a 0 b
0 c 0 a 0 c
0 c 0 a a 0
0 c 0 a a a
0 c 0 a a b
0 c 0 a a c
0 c 0 a b 0
0 c 0 a b a
0 c 0 a b b
0 c 0 a b c
0 c 0 a c 0
0 c 0 a c a
0 c 0 a c b
0 c 0 a c c
0 c 0 b 0 0
0 c 0 b 0 a
0 c 0 b 0 b
0 c 0 b 0 c
0 c 0 b a 0
0 c 0 b a a
0 c 0 b a b
0 c 0 b a c
0 c 0 b b 0
0 c 0 b b a
0 c 0 b b b
0 c 0 b b c
0 c 0 b c 0
0 c 0 b c a
0 c 0 b c b
0 c 0 b c c
0 c 0 c 0 0
0 c 0 c 0 a
0 c 0 c 0 b
0 c 0 c 0 c
0 c 0 c a 0
0 c 0 c a a
0 c 0 c a b
0 c 0 c a c
0 c 0 c b 0
0 c 0 c b a
0 c 0 c b b
0 c 0 c b c
0 c 0 c c 0
0 c 0 c c a
0 c 0 c c b
0 c 0 c c c
0 c a 0 0 0
0 c a 0 0 a
0 c a 0 0 b
0 c a 0 0 c
0 c a 0 a 0
0 c a 0 a a
0 c a 0 a b
0 c a 0 a c
0 c a 0 b 0
0 c a 0 b a
0 c a 0 b b
0 c a 0 b c
0 c a 0 c 0
0 c a 0 c a
0 c a 0 c b
0 c a 0 c c
0 c a a 0 0
0 c a a 0 a
0 c a a 0 b
0 c a a 0 c
0 c a a a 0
0 c a a a a
0 c a a a b
0 c a a a c
0 c a a b 0
0 c a a b a
0 c a a b b
0 c a a b c
0 c a a c 0
0 c a a c a
0 c a a c b
0 c a a c c
0 c a b 0 0
0 c a b 0 a
0 c a b 0 b
0 c a b 0 c
0 c a b a 0
0 c a b a a
0 c a b a b
0 c a b a c
0 c a b b 0
0 c a b b a
0 c a b b b
0 c a b b c
0 c a b c 0
0 c a b c a
0 c a b c b
0 c a b c c
0 c a c 0 0
0 c a c 0 a
0 c a c 0 b
0 c a c 0 c
0 c a c a 0
0 c a c a a
0 c a c a b
0 c a c a c
0 c a c b 0
0 c a c b a
0 c a c b b
0 c a c b c
0 c a c c 0
0 c a c c a
0 c a c c b
0 c a c c c
0 c b 0 0 0
0 c b 0 0 a
0 c b 0 0 b
0 c b 0 0 c
0 c b 0 a 0
0 c b 0 a a
0 c b 0 a b
0 c b 0 a c
0 c b 0 b 0
0 c b 0 b a
0 c b 0 b b
0 c b 0 b c
0 c b 0 c 0
0 c b 0 c a
0 c b 0 c b
0 c b 0 c c
0 c b a 0 0
0 c b a 0 a
0 c b a 0 b
0 c b a 0 c
0 c b a a 0
0 c b a a a
0 c b a a b
0 c b a a c
0 c b a b 0
0 c b a b a
0 c b a b b
0 c b a b c
0 c b a c 0
0 c b a c a
0 c b a c b
0 c b a c c
0 c b b 0 0
0 c b b 0 a
0 c b b 0 b
0 c b b 0 c
0 c b b a 0
0 c b b a a
0 c b b a b
0 c b b a c
0 c b b b 0
0 c b b b a
0 c b b b b
0 c b b b c
0 c b b c 0
0 c b b c a
0 c b b c b
0 c b b c c
0 c b c 0 0
0 c b c 0 a
0 c b c 0 b
0 c b c 0 c
0 c b c a 0
0 c b c a a
0 c b c a b
0 c b c a c
0 c b c b 0
0 c b c b a
0 c b c b b
0 c b c b c
0 c b c c 0
0 c b c c a
0 c b c c b
0 c b c c c
0 c c 0 0 0
0 c c 0 0 a
0 c c 0 0 b
0 c c 0 0 c
0 c c 0 a 0
0 c c 0 a a
0 c c 0 a b
0 c c 0 a c
0 c c 0 b 0
0 c c 0 b a
0 c c 0 b b
0 c c 0 b c
0 c c 0 c 0
0 c c 0 c a
0 c c 0 c b
0 c c 0 c c
0 c c a 0 0
0 c c a 0 a
0 c c a 0 b
0 c c a 0 c
0 c c a a 0
0 c c a a a
0 c c a a b
0 c c a a c
0 c c a b 0
0 c c a b a
0 c c a b b
0 c c a b c
0 c c a c 0
0 c c a c a
0 c c a c b
0 c c a c c
0 c c b 0 0
0 c c b 0 a
0 c c b 0 b
0 c c b 0 c
0 c c b a 0
0 c c b a a
0 c c b a b
0 c c b a c
0 c c b b 0
0 c c b b a
0 c c b b b
0 c c b b c
0 c c b c 0
0 c c b c a
0 c c b c b
0 c c b c c
0 c c c 0 0
0 c c c 0 a
0 c c c 0 b
0 c c c 0 c
0 c c c a 0
0 c c c a a
0 c c c a b
0 c c c a c
0 c c c b 0
0 c c c b a
0 c c c b b
0 c c c b c
0 c c c c 0
0 c c c c a
0 c c c c b
0 c c c c c
Is it a nice code?: No
Generator Matrix-17
a 0 0 0 0 a
b 0 0 0 0 b
0 c 0 0 0 0
0 0 c 0 0 0
0 0 0 c 0 0
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 0
0 0 0 c c 0
0 0 c 0 0 0
0 0 c 0 c 0
0 0 c c 0 0
0 0 c c c 0
0 c 0 0 0 0
0 c 0 0 c 0
0 c 0 c 0 0
0 c 0 c c 0
0 c c 0 0 0
0 c c 0 c 0
0 c c c 0 0
0 c c c c 0
b 0 0 0 0 b
b 0 0 0 c b
b 0 0 c 0 b
b 0 0 c c b
b 0 c 0 0 b
b 0 c 0 c b
b 0 c c 0 b
b 0 c c c b
b c 0 0 0 b
b c 0 0 c b
b c 0 c 0 b
b c 0 c c b
b c c 0 0 b
b c c 0 c b
b c c c 0 b
b c c c c b
a 0 0 0 0 a
a 0 0 0 c a
a 0 0 c 0 a
a 0 0 c c a
a 0 c 0 0 a
a 0 c 0 c a
a 0 c c 0 a
a 0 c c c a
a c 0 0 0 a
a c 0 0 c a
a c 0 c 0 a
a c 0 c c a
a c c 0 0 a
a c c 0 c a
a c c c 0 a
a c c c c a
c 0 0 0 0 c
c 0 0 0 c c
c 0 0 c 0 c
c 0 0 c c c
c 0 c 0 0 c
c 0 c 0 c c
c 0 c c 0 c
c 0 c c c c
c c 0 0 0 c
c c 0 0 c c
c c 0 c 0 c
c c 0 c c c
c c c 0 0 c
c c c 0 c c
c c c c 0 c
c c c c c c
dmin: 1
Weight Enumerator: 1x0 + 4x1 + 9x2 + 16x3 + 19x4 + 12x5 + 3x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_b)2 + (X_0)3 (X_b)2 (X_c)1 + (X_0)3 (X_b)2 (X_c)1 + (X_0)2 (X_b)2 (X_c)2 + (X_0)3 (X_b)2 (X_c)1 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)3 (X_b)2 (X_c)1 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)2 (X_b)2 (X_c)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)1 (X_b)2 (X_c)3 + (X_b)2 (X_c)4 + (X_0)4 (X_a)2 + (X_0)3 (X_a)2 (X_c)1 + (X_0)3 (X_a)2 (X_c)1 + (X_0)2 (X_a)2 (X_c)2 + (X_0)3 (X_a)2 (X_c)1 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)3 (X_a)2 (X_c)1 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)1 (X_a)2 (X_c)3 + (X_a)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5 + (X_c)6
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 0 a 0 0
0 0 0 a a 0
0 0 0 a b 0
0 0 0 a c 0
0 0 0 b 0 0
0 0 0 b a 0
0 0 0 b b 0
0 0 0 b c 0
0 0 0 c 0 0
0 0 0 c a 0
0 0 0 c b 0
0 0 0 c c 0
0 0 a 0 0 0
0 0 a 0 a 0
0 0 a 0 b 0
0 0 a 0 c 0
0 0 a a 0 0
0 0 a a a 0
0 0 a a b 0
0 0 a a c 0
0 0 a b 0 0
0 0 a b a 0
0 0 a b b 0
0 0 a b c 0
0 0 a c 0 0
0 0 a c a 0
0 0 a c b 0
0 0 a c c 0
0 0 b 0 0 0
0 0 b 0 a 0
0 0 b 0 b 0
0 0 b 0 c 0
0 0 b a 0 0
0 0 b a a 0
0 0 b a b 0
0 0 b a c 0
0 0 b b 0 0
0 0 b b a 0
0 0 b b b 0
0 0 b b c 0
0 0 b c 0 0
0 0 b c a 0
0 0 b c b 0
0 0 b c c 0
0 0 c 0 0 0
0 0 c 0 a 0
0 0 c 0 b 0
0 0 c 0 c 0
0 0 c a 0 0
0 0 c a a 0
0 0 c a b 0
0 0 c a c 0
0 0 c b 0 0
0 0 c b a 0
0 0 c b b 0
0 0 c b c 0
0 0 c c 0 0
0 0 c c a 0
0 0 c c b 0
0 0 c c c 0
0 a 0 0 0 0
0 a 0 0 a 0
0 a 0 0 b 0
0 a 0 0 c 0
0 a 0 a 0 0
0 a 0 a a 0
0 a 0 a b 0
0 a 0 a c 0
0 a 0 b 0 0
0 a 0 b a 0
0 a 0 b b 0
0 a 0 b c 0
0 a 0 c 0 0
0 a 0 c a 0
0 a 0 c b 0
0 a 0 c c 0
0 a a 0 0 0
0 a a 0 a 0
0 a a 0 b 0
0 a a 0 c 0
0 a a a 0 0
0 a a a a 0
0 a a a b 0
0 a a a c 0
0 a a b 0 0
0 a a b a 0
0 a a b b 0
0 a a b c 0
0 a a c 0 0
0 a a c a 0
0 a a c b 0
0 a a c c 0
0 a b 0 0 0
0 a b 0 a 0
0 a b 0 b 0
0 a b 0 c 0
0 a b a 0 0
0 a b a a 0
0 a b a b 0
0 a b a c 0
0 a b b 0 0
0 a b b a 0
0 a b b b 0
0 a b b c 0
0 a b c 0 0
0 a b c a 0
0 a b c b 0
0 a b c c 0
0 a c 0 0 0
0 a c 0 a 0
0 a c 0 b 0
0 a c 0 c 0
0 a c a 0 0
0 a c a a 0
0 a c a b 0
0 a c a c 0
0 a c b 0 0
0 a c b a 0
0 a c b b 0
0 a c b c 0
0 a c c 0 0
0 a c c a 0
0 a c c b 0
0 a c c c 0
0 b 0 0 0 0
0 b 0 0 a 0
0 b 0 0 b 0
0 b 0 0 c 0
0 b 0 a 0 0
0 b 0 a a 0
0 b 0 a b 0
0 b 0 a c 0
0 b 0 b 0 0
0 b 0 b a 0
0 b 0 b b 0
0 b 0 b c 0
0 b 0 c 0 0
0 b 0 c a 0
0 b 0 c b 0
0 b 0 c c 0
0 b a 0 0 0
0 b a 0 a 0
0 b a 0 b 0
0 b a 0 c 0
0 b a a 0 0
0 b a a a 0
0 b a a b 0
0 b a a c 0
0 b a b 0 0
0 b a b a 0
0 b a b b 0
0 b a b c 0
0 b a c 0 0
0 b a c a 0
0 b a c b 0
0 b a c c 0
0 b b 0 0 0
0 b b 0 a 0
0 b b 0 b 0
0 b b 0 c 0
0 b b a 0 0
0 b b a a 0
0 b b a b 0
0 b b a c 0
0 b b b 0 0
0 b b b a 0
0 b b b b 0
0 b b b c 0
0 b b c 0 0
0 b b c a 0
0 b b c b 0
0 b b c c 0
0 b c 0 0 0
0 b c 0 a 0
0 b c 0 b 0
0 b c 0 c 0
0 b c a 0 0
0 b c a a 0
0 b c a b 0
0 b c a c 0
0 b c b 0 0
0 b c b a 0
0 b c b b 0
0 b c b c 0
0 b c c 0 0
0 b c c a 0
0 b c c b 0
0 b c c c 0
0 c 0 0 0 0
0 c 0 0 a 0
0 c 0 0 b 0
0 c 0 0 c 0
0 c 0 a 0 0
0 c 0 a a 0
0 c 0 a b 0
0 c 0 a c 0
0 c 0 b 0 0
0 c 0 b a 0
0 c 0 b b 0
0 c 0 b c 0
0 c 0 c 0 0
0 c 0 c a 0
0 c 0 c b 0
0 c 0 c c 0
0 c a 0 0 0
0 c a 0 a 0
0 c a 0 b 0
0 c a 0 c 0
0 c a a 0 0
0 c a a a 0
0 c a a b 0
0 c a a c 0
0 c a b 0 0
0 c a b a 0
0 c a b b 0
0 c a b c 0
0 c a c 0 0
0 c a c a 0
0 c a c b 0
0 c a c c 0
0 c b 0 0 0
0 c b 0 a 0
0 c b 0 b 0
0 c b 0 c 0
0 c b a 0 0
0 c b a a 0
0 c b a b 0
0 c b a c 0
0 c b b 0 0
0 c b b a 0
0 c b b b 0
0 c b b c 0
0 c b c 0 0
0 c b c a 0
0 c b c b 0
0 c b c c 0
0 c c 0 0 0
0 c c 0 a 0
0 c c 0 b 0
0 c c 0 c 0
0 c c a 0 0
0 c c a a 0
0 c c a b 0
0 c c a c 0
0 c c b 0 0
0 c c b a 0
0 c c b b 0
0 c c b c 0
0 c c c 0 0
0 c c c a 0
0 c c c b 0
0 c c c c 0
Is it a nice code?: No
Generator Matrix-18
a 0 0 0 0 a
b 0 0 0 0 b
0 c 0 0 0 0
0 0 c 0 0 0
0 0 0 c 0 0
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 0
0 0 0 c c c
0 0 c 0 0 0
0 0 c 0 c c
0 0 c c 0 0
0 0 c c c c
0 c 0 0 0 0
0 c 0 0 c c
0 c 0 c 0 0
0 c 0 c c c
0 c c 0 0 0
0 c c 0 c c
0 c c c 0 0
0 c c c c c
b 0 0 0 0 b
b 0 0 0 c a
b 0 0 c 0 b
b 0 0 c c a
b 0 c 0 0 b
b 0 c 0 c a
b 0 c c 0 b
b 0 c c c a
b c 0 0 0 b
b c 0 0 c a
b c 0 c 0 b
b c 0 c c a
b c c 0 0 b
b c c 0 c a
b c c c 0 b
b c c c c a
a 0 0 0 0 a
a 0 0 0 c b
a 0 0 c 0 a
a 0 0 c c b
a 0 c 0 0 a
a 0 c 0 c b
a 0 c c 0 a
a 0 c c c b
a c 0 0 0 a
a c 0 0 c b
a c 0 c 0 a
a c 0 c c b
a c c 0 0 a
a c c 0 c b
a c c c 0 a
a c c c c b
c 0 0 0 0 c
c 0 0 0 c 0
c 0 0 c 0 c
c 0 0 c c 0
c 0 c 0 0 c
c 0 c 0 c 0
c 0 c c 0 c
c 0 c c c 0
c c 0 0 0 c
c c 0 0 c 0
c c 0 c 0 c
c c 0 c c 0
c c c 0 0 c
c c c 0 c 0
c c c c 0 c
c c c c c 0
dmin: 1
Weight Enumerator: 1x0 + 3x1 + 8x2 + 18x3 + 21x4 + 11x5 + 2x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)4 (X_b)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)3 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_b)2 (X_c)3 + (X_a)1 (X_b)1 (X_c)4 + (X_0)4 (X_a)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)3 (X_a)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_a)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_a)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)2 (X_c)3 + (X_a)1 (X_b)1 (X_c)4 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 0 a 0 0
0 0 0 a a 0
0 0 0 a b 0
0 0 0 a c 0
0 0 0 b 0 0
0 0 0 b a 0
0 0 0 b b 0
0 0 0 b c 0
0 0 0 c 0 0
0 0 0 c a 0
0 0 0 c b 0
0 0 0 c c 0
0 0 a 0 0 0
0 0 a 0 a 0
0 0 a 0 b 0
0 0 a 0 c 0
0 0 a a 0 0
0 0 a a a 0
0 0 a a b 0
0 0 a a c 0
0 0 a b 0 0
0 0 a b a 0
0 0 a b b 0
0 0 a b c 0
0 0 a c 0 0
0 0 a c a 0
0 0 a c b 0
0 0 a c c 0
0 0 b 0 0 0
0 0 b 0 a 0
0 0 b 0 b 0
0 0 b 0 c 0
0 0 b a 0 0
0 0 b a a 0
0 0 b a b 0
0 0 b a c 0
0 0 b b 0 0
0 0 b b a 0
0 0 b b b 0
0 0 b b c 0
0 0 b c 0 0
0 0 b c a 0
0 0 b c b 0
0 0 b c c 0
0 0 c 0 0 0
0 0 c 0 a 0
0 0 c 0 b 0
0 0 c 0 c 0
0 0 c a 0 0
0 0 c a a 0
0 0 c a b 0
0 0 c a c 0
0 0 c b 0 0
0 0 c b a 0
0 0 c b b 0
0 0 c b c 0
0 0 c c 0 0
0 0 c c a 0
0 0 c c b 0
0 0 c c c 0
0 a 0 0 0 0
0 a 0 0 a 0
0 a 0 0 b 0
0 a 0 0 c 0
0 a 0 a 0 0
0 a 0 a a 0
0 a 0 a b 0
0 a 0 a c 0
0 a 0 b 0 0
0 a 0 b a 0
0 a 0 b b 0
0 a 0 b c 0
0 a 0 c 0 0
0 a 0 c a 0
0 a 0 c b 0
0 a 0 c c 0
0 a a 0 0 0
0 a a 0 a 0
0 a a 0 b 0
0 a a 0 c 0
0 a a a 0 0
0 a a a a 0
0 a a a b 0
0 a a a c 0
0 a a b 0 0
0 a a b a 0
0 a a b b 0
0 a a b c 0
0 a a c 0 0
0 a a c a 0
0 a a c b 0
0 a a c c 0
0 a b 0 0 0
0 a b 0 a 0
0 a b 0 b 0
0 a b 0 c 0
0 a b a 0 0
0 a b a a 0
0 a b a b 0
0 a b a c 0
0 a b b 0 0
0 a b b a 0
0 a b b b 0
0 a b b c 0
0 a b c 0 0
0 a b c a 0
0 a b c b 0
0 a b c c 0
0 a c 0 0 0
0 a c 0 a 0
0 a c 0 b 0
0 a c 0 c 0
0 a c a 0 0
0 a c a a 0
0 a c a b 0
0 a c a c 0
0 a c b 0 0
0 a c b a 0
0 a c b b 0
0 a c b c 0
0 a c c 0 0
0 a c c a 0
0 a c c b 0
0 a c c c 0
0 b 0 0 0 0
0 b 0 0 a 0
0 b 0 0 b 0
0 b 0 0 c 0
0 b 0 a 0 0
0 b 0 a a 0
0 b 0 a b 0
0 b 0 a c 0
0 b 0 b 0 0
0 b 0 b a 0
0 b 0 b b 0
0 b 0 b c 0
0 b 0 c 0 0
0 b 0 c a 0
0 b 0 c b 0
0 b 0 c c 0
0 b a 0 0 0
0 b a 0 a 0
0 b a 0 b 0
0 b a 0 c 0
0 b a a 0 0
0 b a a a 0
0 b a a b 0
0 b a a c 0
0 b a b 0 0
0 b a b a 0
0 b a b b 0
0 b a b c 0
0 b a c 0 0
0 b a c a 0
0 b a c b 0
0 b a c c 0
0 b b 0 0 0
0 b b 0 a 0
0 b b 0 b 0
0 b b 0 c 0
0 b b a 0 0
0 b b a a 0
0 b b a b 0
0 b b a c 0
0 b b b 0 0
0 b b b a 0
0 b b b b 0
0 b b b c 0
0 b b c 0 0
0 b b c a 0
0 b b c b 0
0 b b c c 0
0 b c 0 0 0
0 b c 0 a 0
0 b c 0 b 0
0 b c 0 c 0
0 b c a 0 0
0 b c a a 0
0 b c a b 0
0 b c a c 0
0 b c b 0 0
0 b c b a 0
0 b c b b 0
0 b c b c 0
0 b c c 0 0
0 b c c a 0
0 b c c b 0
0 b c c c 0
0 c 0 0 0 0
0 c 0 0 a 0
0 c 0 0 b 0
0 c 0 0 c 0
0 c 0 a 0 0
0 c 0 a a 0
0 c 0 a b 0
0 c 0 a c 0
0 c 0 b 0 0
0 c 0 b a 0
0 c 0 b b 0
0 c 0 b c 0
0 c 0 c 0 0
0 c 0 c a 0
0 c 0 c b 0
0 c 0 c c 0
0 c a 0 0 0
0 c a 0 a 0
0 c a 0 b 0
0 c a 0 c 0
0 c a a 0 0
0 c a a a 0
0 c a a b 0
0 c a a c 0
0 c a b 0 0
0 c a b a 0
0 c a b b 0
0 c a b c 0
0 c a c 0 0
0 c a c a 0
0 c a c b 0
0 c a c c 0
0 c b 0 0 0
0 c b 0 a 0
0 c b 0 b 0
0 c b 0 c 0
0 c b a 0 0
0 c b a a 0
0 c b a b 0
0 c b a c 0
0 c b b 0 0
0 c b b a 0
0 c b b b 0
0 c b b c 0
0 c b c 0 0
0 c b c a 0
0 c b c b 0
0 c b c c 0
0 c c 0 0 0
0 c c 0 a 0
0 c c 0 b 0
0 c c 0 c 0
0 c c a 0 0
0 c c a a 0
0 c c a b 0
0 c c a c 0
0 c c b 0 0
0 c c b a 0
0 c c b b 0
0 c c b c 0
0 c c c 0 0
0 c c c a 0
0 c c c b 0
0 c c c c 0
Is it a nice code?: No
Generator Matrix-19
a 0 0 0 0 a
b 0 0 0 0 b
0 c 0 0 0 0
0 0 c 0 0 0
0 0 0 c 0 c
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 c
0 0 0 c c c
0 0 c 0 0 0
0 0 c 0 c 0
0 0 c c 0 c
0 0 c c c c
0 c 0 0 0 0
0 c 0 0 c 0
0 c 0 c 0 c
0 c 0 c c c
0 c c 0 0 0
0 c c 0 c 0
0 c c c 0 c
0 c c c c c
b 0 0 0 0 b
b 0 0 0 c b
b 0 0 c 0 a
b 0 0 c c a
b 0 c 0 0 b
b 0 c 0 c b
b 0 c c 0 a
b 0 c c c a
b c 0 0 0 b
b c 0 0 c b
b c 0 c 0 a
b c 0 c c a
b c c 0 0 b
b c c 0 c b
b c c c 0 a
b c c c c a
a 0 0 0 0 a
a 0 0 0 c a
a 0 0 c 0 b
a 0 0 c c b
a 0 c 0 0 a
a 0 c 0 c a
a 0 c c 0 b
a 0 c c c b
a c 0 0 0 a
a c 0 0 c a
a c 0 c 0 b
a c 0 c c b
a c c 0 0 a
a c c 0 c a
a c c c 0 b
a c c c c b
c 0 0 0 0 c
c 0 0 0 c c
c 0 0 c 0 0
c 0 0 c c 0
c 0 c 0 0 c
c 0 c 0 c c
c 0 c c 0 0
c 0 c c c 0
c c 0 0 0 c
c c 0 0 c c
c c 0 c 0 0
c c 0 c c 0
c c c 0 0 c
c c c 0 c c
c c c c 0 0
c c c c c 0
dmin: 1
Weight Enumerator: 1x0 + 3x1 + 8x2 + 18x3 + 21x4 + 11x5 + 2x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)4 (X_b)2 + (X_0)3 (X_b)2 (X_c)1 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_b)2 (X_c)1 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_b)2 (X_c)1 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_b)2 (X_c)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_a)1 (X_b)1 (X_c)4 + (X_0)4 (X_a)2 + (X_0)3 (X_a)2 (X_c)1 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_a)2 (X_c)1 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_a)2 (X_c)1 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_a)1 (X_b)1 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 0 a 0 0
0 0 0 a a 0
0 0 0 a b 0
0 0 0 a c 0
0 0 0 b 0 0
0 0 0 b a 0
0 0 0 b b 0
0 0 0 b c 0
0 0 0 c 0 0
0 0 0 c a 0
0 0 0 c b 0
0 0 0 c c 0
0 0 a 0 0 0
0 0 a 0 a 0
0 0 a 0 b 0
0 0 a 0 c 0
0 0 a a 0 0
0 0 a a a 0
0 0 a a b 0
0 0 a a c 0
0 0 a b 0 0
0 0 a b a 0
0 0 a b b 0
0 0 a b c 0
0 0 a c 0 0
0 0 a c a 0
0 0 a c b 0
0 0 a c c 0
0 0 b 0 0 0
0 0 b 0 a 0
0 0 b 0 b 0
0 0 b 0 c 0
0 0 b a 0 0
0 0 b a a 0
0 0 b a b 0
0 0 b a c 0
0 0 b b 0 0
0 0 b b a 0
0 0 b b b 0
0 0 b b c 0
0 0 b c 0 0
0 0 b c a 0
0 0 b c b 0
0 0 b c c 0
0 0 c 0 0 0
0 0 c 0 a 0
0 0 c 0 b 0
0 0 c 0 c 0
0 0 c a 0 0
0 0 c a a 0
0 0 c a b 0
0 0 c a c 0
0 0 c b 0 0
0 0 c b a 0
0 0 c b b 0
0 0 c b c 0
0 0 c c 0 0
0 0 c c a 0
0 0 c c b 0
0 0 c c c 0
0 a 0 0 0 0
0 a 0 0 a 0
0 a 0 0 b 0
0 a 0 0 c 0
0 a 0 a 0 0
0 a 0 a a 0
0 a 0 a b 0
0 a 0 a c 0
0 a 0 b 0 0
0 a 0 b a 0
0 a 0 b b 0
0 a 0 b c 0
0 a 0 c 0 0
0 a 0 c a 0
0 a 0 c b 0
0 a 0 c c 0
0 a a 0 0 0
0 a a 0 a 0
0 a a 0 b 0
0 a a 0 c 0
0 a a a 0 0
0 a a a a 0
0 a a a b 0
0 a a a c 0
0 a a b 0 0
0 a a b a 0
0 a a b b 0
0 a a b c 0
0 a a c 0 0
0 a a c a 0
0 a a c b 0
0 a a c c 0
0 a b 0 0 0
0 a b 0 a 0
0 a b 0 b 0
0 a b 0 c 0
0 a b a 0 0
0 a b a a 0
0 a b a b 0
0 a b a c 0
0 a b b 0 0
0 a b b a 0
0 a b b b 0
0 a b b c 0
0 a b c 0 0
0 a b c a 0
0 a b c b 0
0 a b c c 0
0 a c 0 0 0
0 a c 0 a 0
0 a c 0 b 0
0 a c 0 c 0
0 a c a 0 0
0 a c a a 0
0 a c a b 0
0 a c a c 0
0 a c b 0 0
0 a c b a 0
0 a c b b 0
0 a c b c 0
0 a c c 0 0
0 a c c a 0
0 a c c b 0
0 a c c c 0
0 b 0 0 0 0
0 b 0 0 a 0
0 b 0 0 b 0
0 b 0 0 c 0
0 b 0 a 0 0
0 b 0 a a 0
0 b 0 a b 0
0 b 0 a c 0
0 b 0 b 0 0
0 b 0 b a 0
0 b 0 b b 0
0 b 0 b c 0
0 b 0 c 0 0
0 b 0 c a 0
0 b 0 c b 0
0 b 0 c c 0
0 b a 0 0 0
0 b a 0 a 0
0 b a 0 b 0
0 b a 0 c 0
0 b a a 0 0
0 b a a a 0
0 b a a b 0
0 b a a c 0
0 b a b 0 0
0 b a b a 0
0 b a b b 0
0 b a b c 0
0 b a c 0 0
0 b a c a 0
0 b a c b 0
0 b a c c 0
0 b b 0 0 0
0 b b 0 a 0
0 b b 0 b 0
0 b b 0 c 0
0 b b a 0 0
0 b b a a 0
0 b b a b 0
0 b b a c 0
0 b b b 0 0
0 b b b a 0
0 b b b b 0
0 b b b c 0
0 b b c 0 0
0 b b c a 0
0 b b c b 0
0 b b c c 0
0 b c 0 0 0
0 b c 0 a 0
0 b c 0 b 0
0 b c 0 c 0
0 b c a 0 0
0 b c a a 0
0 b c a b 0
0 b c a c 0
0 b c b 0 0
0 b c b a 0
0 b c b b 0
0 b c b c 0
0 b c c 0 0
0 b c c a 0
0 b c c b 0
0 b c c c 0
0 c 0 0 0 0
0 c 0 0 a 0
0 c 0 0 b 0
0 c 0 0 c 0
0 c 0 a 0 0
0 c 0 a a 0
0 c 0 a b 0
0 c 0 a c 0
0 c 0 b 0 0
0 c 0 b a 0
0 c 0 b b 0
0 c 0 b c 0
0 c 0 c 0 0
0 c 0 c a 0
0 c 0 c b 0
0 c 0 c c 0
0 c a 0 0 0
0 c a 0 a 0
0 c a 0 b 0
0 c a 0 c 0
0 c a a 0 0
0 c a a a 0
0 c a a b 0
0 c a a c 0
0 c a b 0 0
0 c a b a 0
0 c a b b 0
0 c a b c 0
0 c a c 0 0
0 c a c a 0
0 c a c b 0
0 c a c c 0
0 c b 0 0 0
0 c b 0 a 0
0 c b 0 b 0
0 c b 0 c 0
0 c b a 0 0
0 c b a a 0
0 c b a b 0
0 c b a c 0
0 c b b 0 0
0 c b b a 0
0 c b b b 0
0 c b b c 0
0 c b c 0 0
0 c b c a 0
0 c b c b 0
0 c b c c 0
0 c c 0 0 0
0 c c 0 a 0
0 c c 0 b 0
0 c c 0 c 0
0 c c a 0 0
0 c c a a 0
0 c c a b 0
0 c c a c 0
0 c c b 0 0
0 c c b a 0
0 c c b b 0
0 c c b c 0
0 c c c 0 0
0 c c c a 0
0 c c c b 0
0 c c c c 0
Is it a nice code?: No
Generator Matrix-20
a 0 0 0 0 a
b 0 0 0 0 b
0 c 0 0 0 0
0 0 c 0 0 0
0 0 0 c 0 c
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 c
0 0 0 c c 0
0 0 c 0 0 0
0 0 c 0 c c
0 0 c c 0 c
0 0 c c c 0
0 c 0 0 0 0
0 c 0 0 c c
0 c 0 c 0 c
0 c 0 c c 0
0 c c 0 0 0
0 c c 0 c c
0 c c c 0 c
0 c c c c 0
b 0 0 0 0 b
b 0 0 0 c a
b 0 0 c 0 a
b 0 0 c c b
b 0 c 0 0 b
b 0 c 0 c a
b 0 c c 0 a
b 0 c c c b
b c 0 0 0 b
b c 0 0 c a
b c 0 c 0 a
b c 0 c c b
b c c 0 0 b
b c c 0 c a
b c c c 0 a
b c c c c b
a 0 0 0 0 a
a 0 0 0 c b
a 0 0 c 0 b
a 0 0 c c a
a 0 c 0 0 a
a 0 c 0 c b
a 0 c c 0 b
a 0 c c c a
a c 0 0 0 a
a c 0 0 c b
a c 0 c 0 b
a c 0 c c a
a c c 0 0 a
a c c 0 c b
a c c c 0 b
a c c c c a
c 0 0 0 0 c
c 0 0 0 c 0
c 0 0 c 0 0
c 0 0 c c c
c 0 c 0 0 c
c 0 c 0 c 0
c 0 c c 0 0
c 0 c c c c
c c 0 0 0 c
c c 0 0 c 0
c c 0 c 0 0
c c 0 c c c
c c c 0 0 c
c c c 0 c 0
c c c c 0 0
c c c c c c
dmin: 1
Weight Enumerator: 1x0 + 2x1 + 9x2 + 20x3 + 19x4 + 10x5 + 3x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)4 (X_b)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_b)2 (X_c)2 + (X_0)3 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)3 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_b)2 (X_c)4 + (X_0)4 (X_a)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_c)2 + (X_0)3 (X_a)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)3 (X_a)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_a)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_c)6
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 0 a 0 0
0 0 0 a a 0
0 0 0 a b 0
0 0 0 a c 0
0 0 0 b 0 0
0 0 0 b a 0
0 0 0 b b 0
0 0 0 b c 0
0 0 0 c 0 0
0 0 0 c a 0
0 0 0 c b 0
0 0 0 c c 0
0 0 a 0 0 0
0 0 a 0 a 0
0 0 a 0 b 0
0 0 a 0 c 0
0 0 a a 0 0
0 0 a a a 0
0 0 a a b 0
0 0 a a c 0
0 0 a b 0 0
0 0 a b a 0
0 0 a b b 0
0 0 a b c 0
0 0 a c 0 0
0 0 a c a 0
0 0 a c b 0
0 0 a c c 0
0 0 b 0 0 0
0 0 b 0 a 0
0 0 b 0 b 0
0 0 b 0 c 0
0 0 b a 0 0
0 0 b a a 0
0 0 b a b 0
0 0 b a c 0
0 0 b b 0 0
0 0 b b a 0
0 0 b b b 0
0 0 b b c 0
0 0 b c 0 0
0 0 b c a 0
0 0 b c b 0
0 0 b c c 0
0 0 c 0 0 0
0 0 c 0 a 0
0 0 c 0 b 0
0 0 c 0 c 0
0 0 c a 0 0
0 0 c a a 0
0 0 c a b 0
0 0 c a c 0
0 0 c b 0 0
0 0 c b a 0
0 0 c b b 0
0 0 c b c 0
0 0 c c 0 0
0 0 c c a 0
0 0 c c b 0
0 0 c c c 0
0 a 0 0 0 0
0 a 0 0 a 0
0 a 0 0 b 0
0 a 0 0 c 0
0 a 0 a 0 0
0 a 0 a a 0
0 a 0 a b 0
0 a 0 a c 0
0 a 0 b 0 0
0 a 0 b a 0
0 a 0 b b 0
0 a 0 b c 0
0 a 0 c 0 0
0 a 0 c a 0
0 a 0 c b 0
0 a 0 c c 0
0 a a 0 0 0
0 a a 0 a 0
0 a a 0 b 0
0 a a 0 c 0
0 a a a 0 0
0 a a a a 0
0 a a a b 0
0 a a a c 0
0 a a b 0 0
0 a a b a 0
0 a a b b 0
0 a a b c 0
0 a a c 0 0
0 a a c a 0
0 a a c b 0
0 a a c c 0
0 a b 0 0 0
0 a b 0 a 0
0 a b 0 b 0
0 a b 0 c 0
0 a b a 0 0
0 a b a a 0
0 a b a b 0
0 a b a c 0
0 a b b 0 0
0 a b b a 0
0 a b b b 0
0 a b b c 0
0 a b c 0 0
0 a b c a 0
0 a b c b 0
0 a b c c 0
0 a c 0 0 0
0 a c 0 a 0
0 a c 0 b 0
0 a c 0 c 0
0 a c a 0 0
0 a c a a 0
0 a c a b 0
0 a c a c 0
0 a c b 0 0
0 a c b a 0
0 a c b b 0
0 a c b c 0
0 a c c 0 0
0 a c c a 0
0 a c c b 0
0 a c c c 0
0 b 0 0 0 0
0 b 0 0 a 0
0 b 0 0 b 0
0 b 0 0 c 0
0 b 0 a 0 0
0 b 0 a a 0
0 b 0 a b 0
0 b 0 a c 0
0 b 0 b 0 0
0 b 0 b a 0
0 b 0 b b 0
0 b 0 b c 0
0 b 0 c 0 0
0 b 0 c a 0
0 b 0 c b 0
0 b 0 c c 0
0 b a 0 0 0
0 b a 0 a 0
0 b a 0 b 0
0 b a 0 c 0
0 b a a 0 0
0 b a a a 0
0 b a a b 0
0 b a a c 0
0 b a b 0 0
0 b a b a 0
0 b a b b 0
0 b a b c 0
0 b a c 0 0
0 b a c a 0
0 b a c b 0
0 b a c c 0
0 b b 0 0 0
0 b b 0 a 0
0 b b 0 b 0
0 b b 0 c 0
0 b b a 0 0
0 b b a a 0
0 b b a b 0
0 b b a c 0
0 b b b 0 0
0 b b b a 0
0 b b b b 0
0 b b b c 0
0 b b c 0 0
0 b b c a 0
0 b b c b 0
0 b b c c 0
0 b c 0 0 0
0 b c 0 a 0
0 b c 0 b 0
0 b c 0 c 0
0 b c a 0 0
0 b c a a 0
0 b c a b 0
0 b c a c 0
0 b c b 0 0
0 b c b a 0
0 b c b b 0
0 b c b c 0
0 b c c 0 0
0 b c c a 0
0 b c c b 0
0 b c c c 0
0 c 0 0 0 0
0 c 0 0 a 0
0 c 0 0 b 0
0 c 0 0 c 0
0 c 0 a 0 0
0 c 0 a a 0
0 c 0 a b 0
0 c 0 a c 0
0 c 0 b 0 0
0 c 0 b a 0
0 c 0 b b 0
0 c 0 b c 0
0 c 0 c 0 0
0 c 0 c a 0
0 c 0 c b 0
0 c 0 c c 0
0 c a 0 0 0
0 c a 0 a 0
0 c a 0 b 0
0 c a 0 c 0
0 c a a 0 0
0 c a a a 0
0 c a a b 0
0 c a a c 0
0 c a b 0 0
0 c a b a 0
0 c a b b 0
0 c a b c 0
0 c a c 0 0
0 c a c a 0
0 c a c b 0
0 c a c c 0
0 c b 0 0 0
0 c b 0 a 0
0 c b 0 b 0
0 c b 0 c 0
0 c b a 0 0
0 c b a a 0
0 c b a b 0
0 c b a c 0
0 c b b 0 0
0 c b b a 0
0 c b b b 0
0 c b b c 0
0 c b c 0 0
0 c b c a 0
0 c b c b 0
0 c b c c 0
0 c c 0 0 0
0 c c 0 a 0
0 c c 0 b 0
0 c c 0 c 0
0 c c a 0 0
0 c c a a 0
0 c c a b 0
0 c c a c 0
0 c c b 0 0
0 c c b a 0
0 c c b b 0
0 c c b c 0
0 c c c 0 0
0 c c c a 0
0 c c c b 0
0 c c c c 0
Is it a nice code?: No
Generator Matrix-21
a 0 0 0 0 a
b 0 0 0 0 b
0 c 0 0 0 0
0 0 c 0 0 c
0 0 0 c 0 0
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 0
0 0 0 c c 0
0 0 c 0 0 c
0 0 c 0 c c
0 0 c c 0 c
0 0 c c c c
0 c 0 0 0 0
0 c 0 0 c 0
0 c 0 c 0 0
0 c 0 c c 0
0 c c 0 0 c
0 c c 0 c c
0 c c c 0 c
0 c c c c c
b 0 0 0 0 b
b 0 0 0 c b
b 0 0 c 0 b
b 0 0 c c b
b 0 c 0 0 a
b 0 c 0 c a
b 0 c c 0 a
b 0 c c c a
b c 0 0 0 b
b c 0 0 c b
b c 0 c 0 b
b c 0 c c b
b c c 0 0 a
b c c 0 c a
b c c c 0 a
b c c c c a
a 0 0 0 0 a
a 0 0 0 c a
a 0 0 c 0 a
a 0 0 c c a
a 0 c 0 0 b
a 0 c 0 c b
a 0 c c 0 b
a 0 c c c b
a c 0 0 0 a
a c 0 0 c a
a c 0 c 0 a
a c 0 c c a
a c c 0 0 b
a c c 0 c b
a c c c 0 b
a c c c c b
c 0 0 0 0 c
c 0 0 0 c c
c 0 0 c 0 c
c 0 0 c c c
c 0 c 0 0 0
c 0 c 0 c 0
c 0 c c 0 0
c 0 c c c 0
c c 0 0 0 c
c c 0 0 c c
c c 0 c 0 c
c c 0 c c c
c c c 0 0 0
c c c 0 c 0
c c c c 0 0
c c c c c 0
dmin: 1
Weight Enumerator: 1x0 + 3x1 + 8x2 + 18x3 + 21x4 + 11x5 + 2x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)4 (X_b)2 + (X_0)3 (X_b)2 (X_c)1 + (X_0)3 (X_b)2 (X_c)1 + (X_0)2 (X_b)2 (X_c)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_b)2 (X_c)1 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_a)1 (X_b)1 (X_c)4 + (X_0)4 (X_a)2 + (X_0)3 (X_a)2 (X_c)1 + (X_0)3 (X_a)2 (X_c)1 + (X_0)2 (X_a)2 (X_c)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_a)2 (X_c)1 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_a)1 (X_b)1 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 0 a 0 0
0 0 0 a a 0
0 0 0 a b 0
0 0 0 a c 0
0 0 0 b 0 0
0 0 0 b a 0
0 0 0 b b 0
0 0 0 b c 0
0 0 0 c 0 0
0 0 0 c a 0
0 0 0 c b 0
0 0 0 c c 0
0 0 a 0 0 0
0 0 a 0 a 0
0 0 a 0 b 0
0 0 a 0 c 0
0 0 a a 0 0
0 0 a a a 0
0 0 a a b 0
0 0 a a c 0
0 0 a b 0 0
0 0 a b a 0
0 0 a b b 0
0 0 a b c 0
0 0 a c 0 0
0 0 a c a 0
0 0 a c b 0
0 0 a c c 0
0 0 b 0 0 0
0 0 b 0 a 0
0 0 b 0 b 0
0 0 b 0 c 0
0 0 b a 0 0
0 0 b a a 0
0 0 b a b 0
0 0 b a c 0
0 0 b b 0 0
0 0 b b a 0
0 0 b b b 0
0 0 b b c 0
0 0 b c 0 0
0 0 b c a 0
0 0 b c b 0
0 0 b c c 0
0 0 c 0 0 0
0 0 c 0 a 0
0 0 c 0 b 0
0 0 c 0 c 0
0 0 c a 0 0
0 0 c a a 0
0 0 c a b 0
0 0 c a c 0
0 0 c b 0 0
0 0 c b a 0
0 0 c b b 0
0 0 c b c 0
0 0 c c 0 0
0 0 c c a 0
0 0 c c b 0
0 0 c c c 0
0 a 0 0 0 0
0 a 0 0 a 0
0 a 0 0 b 0
0 a 0 0 c 0
0 a 0 a 0 0
0 a 0 a a 0
0 a 0 a b 0
0 a 0 a c 0
0 a 0 b 0 0
0 a 0 b a 0
0 a 0 b b 0
0 a 0 b c 0
0 a 0 c 0 0
0 a 0 c a 0
0 a 0 c b 0
0 a 0 c c 0
0 a a 0 0 0
0 a a 0 a 0
0 a a 0 b 0
0 a a 0 c 0
0 a a a 0 0
0 a a a a 0
0 a a a b 0
0 a a a c 0
0 a a b 0 0
0 a a b a 0
0 a a b b 0
0 a a b c 0
0 a a c 0 0
0 a a c a 0
0 a a c b 0
0 a a c c 0
0 a b 0 0 0
0 a b 0 a 0
0 a b 0 b 0
0 a b 0 c 0
0 a b a 0 0
0 a b a a 0
0 a b a b 0
0 a b a c 0
0 a b b 0 0
0 a b b a 0
0 a b b b 0
0 a b b c 0
0 a b c 0 0
0 a b c a 0
0 a b c b 0
0 a b c c 0
0 a c 0 0 0
0 a c 0 a 0
0 a c 0 b 0
0 a c 0 c 0
0 a c a 0 0
0 a c a a 0
0 a c a b 0
0 a c a c 0
0 a c b 0 0
0 a c b a 0
0 a c b b 0
0 a c b c 0
0 a c c 0 0
0 a c c a 0
0 a c c b 0
0 a c c c 0
0 b 0 0 0 0
0 b 0 0 a 0
0 b 0 0 b 0
0 b 0 0 c 0
0 b 0 a 0 0
0 b 0 a a 0
0 b 0 a b 0
0 b 0 a c 0
0 b 0 b 0 0
0 b 0 b a 0
0 b 0 b b 0
0 b 0 b c 0
0 b 0 c 0 0
0 b 0 c a 0
0 b 0 c b 0
0 b 0 c c 0
0 b a 0 0 0
0 b a 0 a 0
0 b a 0 b 0
0 b a 0 c 0
0 b a a 0 0
0 b a a a 0
0 b a a b 0
0 b a a c 0
0 b a b 0 0
0 b a b a 0
0 b a b b 0
0 b a b c 0
0 b a c 0 0
0 b a c a 0
0 b a c b 0
0 b a c c 0
0 b b 0 0 0
0 b b 0 a 0
0 b b 0 b 0
0 b b 0 c 0
0 b b a 0 0
0 b b a a 0
0 b b a b 0
0 b b a c 0
0 b b b 0 0
0 b b b a 0
0 b b b b 0
0 b b b c 0
0 b b c 0 0
0 b b c a 0
0 b b c b 0
0 b b c c 0
0 b c 0 0 0
0 b c 0 a 0
0 b c 0 b 0
0 b c 0 c 0
0 b c a 0 0
0 b c a a 0
0 b c a b 0
0 b c a c 0
0 b c b 0 0
0 b c b a 0
0 b c b b 0
0 b c b c 0
0 b c c 0 0
0 b c c a 0
0 b c c b 0
0 b c c c 0
0 c 0 0 0 0
0 c 0 0 a 0
0 c 0 0 b 0
0 c 0 0 c 0
0 c 0 a 0 0
0 c 0 a a 0
0 c 0 a b 0
0 c 0 a c 0
0 c 0 b 0 0
0 c 0 b a 0
0 c 0 b b 0
0 c 0 b c 0
0 c 0 c 0 0
0 c 0 c a 0
0 c 0 c b 0
0 c 0 c c 0
0 c a 0 0 0
0 c a 0 a 0
0 c a 0 b 0
0 c a 0 c 0
0 c a a 0 0
0 c a a a 0
0 c a a b 0
0 c a a c 0
0 c a b 0 0
0 c a b a 0
0 c a b b 0
0 c a b c 0
0 c a c 0 0
0 c a c a 0
0 c a c b 0
0 c a c c 0
0 c b 0 0 0
0 c b 0 a 0
0 c b 0 b 0
0 c b 0 c 0
0 c b a 0 0
0 c b a a 0
0 c b a b 0
0 c b a c 0
0 c b b 0 0
0 c b b a 0
0 c b b b 0
0 c b b c 0
0 c b c 0 0
0 c b c a 0
0 c b c b 0
0 c b c c 0
0 c c 0 0 0
0 c c 0 a 0
0 c c 0 b 0
0 c c 0 c 0
0 c c a 0 0
0 c c a a 0
0 c c a b 0
0 c c a c 0
0 c c b 0 0
0 c c b a 0
0 c c b b 0
0 c c b c 0
0 c c c 0 0
0 c c c a 0
0 c c c b 0
0 c c c c 0
Is it a nice code?: No
Generator Matrix-22
a 0 0 0 0 a
b 0 0 0 0 b
0 c 0 0 0 0
0 0 c 0 0 c
0 0 0 c 0 0
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 0
0 0 0 c c c
0 0 c 0 0 c
0 0 c 0 c 0
0 0 c c 0 c
0 0 c c c 0
0 c 0 0 0 0
0 c 0 0 c c
0 c 0 c 0 0
0 c 0 c c c
0 c c 0 0 c
0 c c 0 c 0
0 c c c 0 c
0 c c c c 0
b 0 0 0 0 b
b 0 0 0 c a
b 0 0 c 0 b
b 0 0 c c a
b 0 c 0 0 a
b 0 c 0 c b
b 0 c c 0 a
b 0 c c c b
b c 0 0 0 b
b c 0 0 c a
b c 0 c 0 b
b c 0 c c a
b c c 0 0 a
b c c 0 c b
b c c c 0 a
b c c c c b
a 0 0 0 0 a
a 0 0 0 c b
a 0 0 c 0 a
a 0 0 c c b
a 0 c 0 0 b
a 0 c 0 c a
a 0 c c 0 b
a 0 c c c a
a c 0 0 0 a
a c 0 0 c b
a c 0 c 0 a
a c 0 c c b
a c c 0 0 b
a c c 0 c a
a c c c 0 b
a c c c c a
c 0 0 0 0 c
c 0 0 0 c 0
c 0 0 c 0 c
c 0 0 c c 0
c 0 c 0 0 0
c 0 c 0 c c
c 0 c c 0 0
c 0 c c c c
c c 0 0 0 c
c c 0 0 c 0
c c 0 c 0 c
c c 0 c c 0
c c c 0 0 0
c c c 0 c c
c c c c 0 0
c c c c c c
dmin: 1
Weight Enumerator: 1x0 + 2x1 + 9x2 + 20x3 + 19x4 + 10x5 + 3x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)4 (X_b)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)3 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)3 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_b)2 (X_c)4 + (X_0)4 (X_a)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)3 (X_a)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)3 (X_a)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_a)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_c)6
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 0 a 0 0
0 0 0 a a 0
0 0 0 a b 0
0 0 0 a c 0
0 0 0 b 0 0
0 0 0 b a 0
0 0 0 b b 0
0 0 0 b c 0
0 0 0 c 0 0
0 0 0 c a 0
0 0 0 c b 0
0 0 0 c c 0
0 0 a 0 0 0
0 0 a 0 a 0
0 0 a 0 b 0
0 0 a 0 c 0
0 0 a a 0 0
0 0 a a a 0
0 0 a a b 0
0 0 a a c 0
0 0 a b 0 0
0 0 a b a 0
0 0 a b b 0
0 0 a b c 0
0 0 a c 0 0
0 0 a c a 0
0 0 a c b 0
0 0 a c c 0
0 0 b 0 0 0
0 0 b 0 a 0
0 0 b 0 b 0
0 0 b 0 c 0
0 0 b a 0 0
0 0 b a a 0
0 0 b a b 0
0 0 b a c 0
0 0 b b 0 0
0 0 b b a 0
0 0 b b b 0
0 0 b b c 0
0 0 b c 0 0
0 0 b c a 0
0 0 b c b 0
0 0 b c c 0
0 0 c 0 0 0
0 0 c 0 a 0
0 0 c 0 b 0
0 0 c 0 c 0
0 0 c a 0 0
0 0 c a a 0
0 0 c a b 0
0 0 c a c 0
0 0 c b 0 0
0 0 c b a 0
0 0 c b b 0
0 0 c b c 0
0 0 c c 0 0
0 0 c c a 0
0 0 c c b 0
0 0 c c c 0
0 a 0 0 0 0
0 a 0 0 a 0
0 a 0 0 b 0
0 a 0 0 c 0
0 a 0 a 0 0
0 a 0 a a 0
0 a 0 a b 0
0 a 0 a c 0
0 a 0 b 0 0
0 a 0 b a 0
0 a 0 b b 0
0 a 0 b c 0
0 a 0 c 0 0
0 a 0 c a 0
0 a 0 c b 0
0 a 0 c c 0
0 a a 0 0 0
0 a a 0 a 0
0 a a 0 b 0
0 a a 0 c 0
0 a a a 0 0
0 a a a a 0
0 a a a b 0
0 a a a c 0
0 a a b 0 0
0 a a b a 0
0 a a b b 0
0 a a b c 0
0 a a c 0 0
0 a a c a 0
0 a a c b 0
0 a a c c 0
0 a b 0 0 0
0 a b 0 a 0
0 a b 0 b 0
0 a b 0 c 0
0 a b a 0 0
0 a b a a 0
0 a b a b 0
0 a b a c 0
0 a b b 0 0
0 a b b a 0
0 a b b b 0
0 a b b c 0
0 a b c 0 0
0 a b c a 0
0 a b c b 0
0 a b c c 0
0 a c 0 0 0
0 a c 0 a 0
0 a c 0 b 0
0 a c 0 c 0
0 a c a 0 0
0 a c a a 0
0 a c a b 0
0 a c a c 0
0 a c b 0 0
0 a c b a 0
0 a c b b 0
0 a c b c 0
0 a c c 0 0
0 a c c a 0
0 a c c b 0
0 a c c c 0
0 b 0 0 0 0
0 b 0 0 a 0
0 b 0 0 b 0
0 b 0 0 c 0
0 b 0 a 0 0
0 b 0 a a 0
0 b 0 a b 0
0 b 0 a c 0
0 b 0 b 0 0
0 b 0 b a 0
0 b 0 b b 0
0 b 0 b c 0
0 b 0 c 0 0
0 b 0 c a 0
0 b 0 c b 0
0 b 0 c c 0
0 b a 0 0 0
0 b a 0 a 0
0 b a 0 b 0
0 b a 0 c 0
0 b a a 0 0
0 b a a a 0
0 b a a b 0
0 b a a c 0
0 b a b 0 0
0 b a b a 0
0 b a b b 0
0 b a b c 0
0 b a c 0 0
0 b a c a 0
0 b a c b 0
0 b a c c 0
0 b b 0 0 0
0 b b 0 a 0
0 b b 0 b 0
0 b b 0 c 0
0 b b a 0 0
0 b b a a 0
0 b b a b 0
0 b b a c 0
0 b b b 0 0
0 b b b a 0
0 b b b b 0
0 b b b c 0
0 b b c 0 0
0 b b c a 0
0 b b c b 0
0 b b c c 0
0 b c 0 0 0
0 b c 0 a 0
0 b c 0 b 0
0 b c 0 c 0
0 b c a 0 0
0 b c a a 0
0 b c a b 0
0 b c a c 0
0 b c b 0 0
0 b c b a 0
0 b c b b 0
0 b c b c 0
0 b c c 0 0
0 b c c a 0
0 b c c b 0
0 b c c c 0
0 c 0 0 0 0
0 c 0 0 a 0
0 c 0 0 b 0
0 c 0 0 c 0
0 c 0 a 0 0
0 c 0 a a 0
0 c 0 a b 0
0 c 0 a c 0
0 c 0 b 0 0
0 c 0 b a 0
0 c 0 b b 0
0 c 0 b c 0
0 c 0 c 0 0
0 c 0 c a 0
0 c 0 c b 0
0 c 0 c c 0
0 c a 0 0 0
0 c a 0 a 0
0 c a 0 b 0
0 c a 0 c 0
0 c a a 0 0
0 c a a a 0
0 c a a b 0
0 c a a c 0
0 c a b 0 0
0 c a b a 0
0 c a b b 0
0 c a b c 0
0 c a c 0 0
0 c a c a 0
0 c a c b 0
0 c a c c 0
0 c b 0 0 0
0 c b 0 a 0
0 c b 0 b 0
0 c b 0 c 0
0 c b a 0 0
0 c b a a 0
0 c b a b 0
0 c b a c 0
0 c b b 0 0
0 c b b a 0
0 c b b b 0
0 c b b c 0
0 c b c 0 0
0 c b c a 0
0 c b c b 0
0 c b c c 0
0 c c 0 0 0
0 c c 0 a 0
0 c c 0 b 0
0 c c 0 c 0
0 c c a 0 0
0 c c a a 0
0 c c a b 0
0 c c a c 0
0 c c b 0 0
0 c c b a 0
0 c c b b 0
0 c c b c 0
0 c c c 0 0
0 c c c a 0
0 c c c b 0
0 c c c c 0
Is it a nice code?: No
Generator Matrix-23
a 0 0 0 0 a
b 0 0 0 0 b
0 c 0 0 0 0
0 0 c 0 0 c
0 0 0 c 0 c
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 c
0 0 0 c c c
0 0 c 0 0 c
0 0 c 0 c c
0 0 c c 0 0
0 0 c c c 0
0 c 0 0 0 0
0 c 0 0 c 0
0 c 0 c 0 c
0 c 0 c c c
0 c c 0 0 c
0 c c 0 c c
0 c c c 0 0
0 c c c c 0
b 0 0 0 0 b
b 0 0 0 c b
b 0 0 c 0 a
b 0 0 c c a
b 0 c 0 0 a
b 0 c 0 c a
b 0 c c 0 b
b 0 c c c b
b c 0 0 0 b
b c 0 0 c b
b c 0 c 0 a
b c 0 c c a
b c c 0 0 a
b c c 0 c a
b c c c 0 b
b c c c c b
a 0 0 0 0 a
a 0 0 0 c a
a 0 0 c 0 b
a 0 0 c c b
a 0 c 0 0 b
a 0 c 0 c b
a 0 c c 0 a
a 0 c c c a
a c 0 0 0 a
a c 0 0 c a
a c 0 c 0 b
a c 0 c c b
a c c 0 0 b
a c c 0 c b
a c c c 0 a
a c c c c a
c 0 0 0 0 c
c 0 0 0 c c
c 0 0 c 0 0
c 0 0 c c 0
c 0 c 0 0 0
c 0 c 0 c 0
c 0 c c 0 c
c 0 c c c c
c c 0 0 0 c
c c 0 0 c c
c c 0 c 0 0
c c 0 c c 0
c c c 0 0 0
c c c 0 c 0
c c c c 0 c
c c c c c c
dmin: 1
Weight Enumerator: 1x0 + 2x1 + 9x2 + 20x3 + 19x4 + 10x5 + 3x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_b)2 + (X_0)3 (X_b)2 (X_c)1 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)3 (X_b)2 (X_c)1 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_b)2 (X_c)3 + (X_b)2 (X_c)4 + (X_0)4 (X_a)2 + (X_0)3 (X_a)2 (X_c)1 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)3 (X_a)2 (X_c)1 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)2 (X_c)3 + (X_a)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_c)6
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 0 a 0 0
0 0 0 a a 0
0 0 0 a b 0
0 0 0 a c 0
0 0 0 b 0 0
0 0 0 b a 0
0 0 0 b b 0
0 0 0 b c 0
0 0 0 c 0 0
0 0 0 c a 0
0 0 0 c b 0
0 0 0 c c 0
0 0 a 0 0 0
0 0 a 0 a 0
0 0 a 0 b 0
0 0 a 0 c 0
0 0 a a 0 0
0 0 a a a 0
0 0 a a b 0
0 0 a a c 0
0 0 a b 0 0
0 0 a b a 0
0 0 a b b 0
0 0 a b c 0
0 0 a c 0 0
0 0 a c a 0
0 0 a c b 0
0 0 a c c 0
0 0 b 0 0 0
0 0 b 0 a 0
0 0 b 0 b 0
0 0 b 0 c 0
0 0 b a 0 0
0 0 b a a 0
0 0 b a b 0
0 0 b a c 0
0 0 b b 0 0
0 0 b b a 0
0 0 b b b 0
0 0 b b c 0
0 0 b c 0 0
0 0 b c a 0
0 0 b c b 0
0 0 b c c 0
0 0 c 0 0 0
0 0 c 0 a 0
0 0 c 0 b 0
0 0 c 0 c 0
0 0 c a 0 0
0 0 c a a 0
0 0 c a b 0
0 0 c a c 0
0 0 c b 0 0
0 0 c b a 0
0 0 c b b 0
0 0 c b c 0
0 0 c c 0 0
0 0 c c a 0
0 0 c c b 0
0 0 c c c 0
0 a 0 0 0 0
0 a 0 0 a 0
0 a 0 0 b 0
0 a 0 0 c 0
0 a 0 a 0 0
0 a 0 a a 0
0 a 0 a b 0
0 a 0 a c 0
0 a 0 b 0 0
0 a 0 b a 0
0 a 0 b b 0
0 a 0 b c 0
0 a 0 c 0 0
0 a 0 c a 0
0 a 0 c b 0
0 a 0 c c 0
0 a a 0 0 0
0 a a 0 a 0
0 a a 0 b 0
0 a a 0 c 0
0 a a a 0 0
0 a a a a 0
0 a a a b 0
0 a a a c 0
0 a a b 0 0
0 a a b a 0
0 a a b b 0
0 a a b c 0
0 a a c 0 0
0 a a c a 0
0 a a c b 0
0 a a c c 0
0 a b 0 0 0
0 a b 0 a 0
0 a b 0 b 0
0 a b 0 c 0
0 a b a 0 0
0 a b a a 0
0 a b a b 0
0 a b a c 0
0 a b b 0 0
0 a b b a 0
0 a b b b 0
0 a b b c 0
0 a b c 0 0
0 a b c a 0
0 a b c b 0
0 a b c c 0
0 a c 0 0 0
0 a c 0 a 0
0 a c 0 b 0
0 a c 0 c 0
0 a c a 0 0
0 a c a a 0
0 a c a b 0
0 a c a c 0
0 a c b 0 0
0 a c b a 0
0 a c b b 0
0 a c b c 0
0 a c c 0 0
0 a c c a 0
0 a c c b 0
0 a c c c 0
0 b 0 0 0 0
0 b 0 0 a 0
0 b 0 0 b 0
0 b 0 0 c 0
0 b 0 a 0 0
0 b 0 a a 0
0 b 0 a b 0
0 b 0 a c 0
0 b 0 b 0 0
0 b 0 b a 0
0 b 0 b b 0
0 b 0 b c 0
0 b 0 c 0 0
0 b 0 c a 0
0 b 0 c b 0
0 b 0 c c 0
0 b a 0 0 0
0 b a 0 a 0
0 b a 0 b 0
0 b a 0 c 0
0 b a a 0 0
0 b a a a 0
0 b a a b 0
0 b a a c 0
0 b a b 0 0
0 b a b a 0
0 b a b b 0
0 b a b c 0
0 b a c 0 0
0 b a c a 0
0 b a c b 0
0 b a c c 0
0 b b 0 0 0
0 b b 0 a 0
0 b b 0 b 0
0 b b 0 c 0
0 b b a 0 0
0 b b a a 0
0 b b a b 0
0 b b a c 0
0 b b b 0 0
0 b b b a 0
0 b b b b 0
0 b b b c 0
0 b b c 0 0
0 b b c a 0
0 b b c b 0
0 b b c c 0
0 b c 0 0 0
0 b c 0 a 0
0 b c 0 b 0
0 b c 0 c 0
0 b c a 0 0
0 b c a a 0
0 b c a b 0
0 b c a c 0
0 b c b 0 0
0 b c b a 0
0 b c b b 0
0 b c b c 0
0 b c c 0 0
0 b c c a 0
0 b c c b 0
0 b c c c 0
0 c 0 0 0 0
0 c 0 0 a 0
0 c 0 0 b 0
0 c 0 0 c 0
0 c 0 a 0 0
0 c 0 a a 0
0 c 0 a b 0
0 c 0 a c 0
0 c 0 b 0 0
0 c 0 b a 0
0 c 0 b b 0
0 c 0 b c 0
0 c 0 c 0 0
0 c 0 c a 0
0 c 0 c b 0
0 c 0 c c 0
0 c a 0 0 0
0 c a 0 a 0
0 c a 0 b 0
0 c a 0 c 0
0 c a a 0 0
0 c a a a 0
0 c a a b 0
0 c a a c 0
0 c a b 0 0
0 c a b a 0
0 c a b b 0
0 c a b c 0
0 c a c 0 0
0 c a c a 0
0 c a c b 0
0 c a c c 0
0 c b 0 0 0
0 c b 0 a 0
0 c b 0 b 0
0 c b 0 c 0
0 c b a 0 0
0 c b a a 0
0 c b a b 0
0 c b a c 0
0 c b b 0 0
0 c b b a 0
0 c b b b 0
0 c b b c 0
0 c b c 0 0
0 c b c a 0
0 c b c b 0
0 c b c c 0
0 c c 0 0 0
0 c c 0 a 0
0 c c 0 b 0
0 c c 0 c 0
0 c c a 0 0
0 c c a a 0
0 c c a b 0
0 c c a c 0
0 c c b 0 0
0 c c b a 0
0 c c b b 0
0 c c b c 0
0 c c c 0 0
0 c c c a 0
0 c c c b 0
0 c c c c 0
Is it a nice code?: No
Generator Matrix-24
a 0 0 0 0 a
b 0 0 0 0 b
0 c 0 0 0 0
0 0 c 0 0 c
0 0 0 c 0 c
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 c
0 0 0 c c 0
0 0 c 0 0 c
0 0 c 0 c 0
0 0 c c 0 0
0 0 c c c c
0 c 0 0 0 0
0 c 0 0 c c
0 c 0 c 0 c
0 c 0 c c 0
0 c c 0 0 c
0 c c 0 c 0
0 c c c 0 0
0 c c c c c
b 0 0 0 0 b
b 0 0 0 c a
b 0 0 c 0 a
b 0 0 c c b
b 0 c 0 0 a
b 0 c 0 c b
b 0 c c 0 b
b 0 c c c a
b c 0 0 0 b
b c 0 0 c a
b c 0 c 0 a
b c 0 c c b
b c c 0 0 a
b c c 0 c b
b c c c 0 b
b c c c c a
a 0 0 0 0 a
a 0 0 0 c b
a 0 0 c 0 b
a 0 0 c c a
a 0 c 0 0 b
a 0 c 0 c a
a 0 c c 0 a
a 0 c c c b
a c 0 0 0 a
a c 0 0 c b
a c 0 c 0 b
a c 0 c c a
a c c 0 0 b
a c c 0 c a
a c c c 0 a
a c c c c b
c 0 0 0 0 c
c 0 0 0 c 0
c 0 0 c 0 0
c 0 0 c c c
c 0 c 0 0 0
c 0 c 0 c c
c 0 c c 0 c
c 0 c c c 0
c c 0 0 0 c
c c 0 0 c 0
c c 0 c 0 0
c c 0 c c c
c c c 0 0 0
c c c 0 c c
c c c c 0 c
c c c c c 0
dmin: 1
Weight Enumerator: 1x0 + 1x1 + 12x2 + 18x3 + 17x4 + 13x5 + 2x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)4 (X_b)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_b)2 (X_c)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)1 (X_b)2 (X_c)3 + (X_a)1 (X_b)1 (X_c)4 + (X_0)4 (X_a)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_c)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_a)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)1 (X_a)2 (X_c)3 + (X_a)1 (X_b)1 (X_c)4 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 0 a 0 0
0 0 0 a a 0
0 0 0 a b 0
0 0 0 a c 0
0 0 0 b 0 0
0 0 0 b a 0
0 0 0 b b 0
0 0 0 b c 0
0 0 0 c 0 0
0 0 0 c a 0
0 0 0 c b 0
0 0 0 c c 0
0 0 a 0 0 0
0 0 a 0 a 0
0 0 a 0 b 0
0 0 a 0 c 0
0 0 a a 0 0
0 0 a a a 0
0 0 a a b 0
0 0 a a c 0
0 0 a b 0 0
0 0 a b a 0
0 0 a b b 0
0 0 a b c 0
0 0 a c 0 0
0 0 a c a 0
0 0 a c b 0
0 0 a c c 0
0 0 b 0 0 0
0 0 b 0 a 0
0 0 b 0 b 0
0 0 b 0 c 0
0 0 b a 0 0
0 0 b a a 0
0 0 b a b 0
0 0 b a c 0
0 0 b b 0 0
0 0 b b a 0
0 0 b b b 0
0 0 b b c 0
0 0 b c 0 0
0 0 b c a 0
0 0 b c b 0
0 0 b c c 0
0 0 c 0 0 0
0 0 c 0 a 0
0 0 c 0 b 0
0 0 c 0 c 0
0 0 c a 0 0
0 0 c a a 0
0 0 c a b 0
0 0 c a c 0
0 0 c b 0 0
0 0 c b a 0
0 0 c b b 0
0 0 c b c 0
0 0 c c 0 0
0 0 c c a 0
0 0 c c b 0
0 0 c c c 0
0 a 0 0 0 0
0 a 0 0 a 0
0 a 0 0 b 0
0 a 0 0 c 0
0 a 0 a 0 0
0 a 0 a a 0
0 a 0 a b 0
0 a 0 a c 0
0 a 0 b 0 0
0 a 0 b a 0
0 a 0 b b 0
0 a 0 b c 0
0 a 0 c 0 0
0 a 0 c a 0
0 a 0 c b 0
0 a 0 c c 0
0 a a 0 0 0
0 a a 0 a 0
0 a a 0 b 0
0 a a 0 c 0
0 a a a 0 0
0 a a a a 0
0 a a a b 0
0 a a a c 0
0 a a b 0 0
0 a a b a 0
0 a a b b 0
0 a a b c 0
0 a a c 0 0
0 a a c a 0
0 a a c b 0
0 a a c c 0
0 a b 0 0 0
0 a b 0 a 0
0 a b 0 b 0
0 a b 0 c 0
0 a b a 0 0
0 a b a a 0
0 a b a b 0
0 a b a c 0
0 a b b 0 0
0 a b b a 0
0 a b b b 0
0 a b b c 0
0 a b c 0 0
0 a b c a 0
0 a b c b 0
0 a b c c 0
0 a c 0 0 0
0 a c 0 a 0
0 a c 0 b 0
0 a c 0 c 0
0 a c a 0 0
0 a c a a 0
0 a c a b 0
0 a c a c 0
0 a c b 0 0
0 a c b a 0
0 a c b b 0
0 a c b c 0
0 a c c 0 0
0 a c c a 0
0 a c c b 0
0 a c c c 0
0 b 0 0 0 0
0 b 0 0 a 0
0 b 0 0 b 0
0 b 0 0 c 0
0 b 0 a 0 0
0 b 0 a a 0
0 b 0 a b 0
0 b 0 a c 0
0 b 0 b 0 0
0 b 0 b a 0
0 b 0 b b 0
0 b 0 b c 0
0 b 0 c 0 0
0 b 0 c a 0
0 b 0 c b 0
0 b 0 c c 0
0 b a 0 0 0
0 b a 0 a 0
0 b a 0 b 0
0 b a 0 c 0
0 b a a 0 0
0 b a a a 0
0 b a a b 0
0 b a a c 0
0 b a b 0 0
0 b a b a 0
0 b a b b 0
0 b a b c 0
0 b a c 0 0
0 b a c a 0
0 b a c b 0
0 b a c c 0
0 b b 0 0 0
0 b b 0 a 0
0 b b 0 b 0
0 b b 0 c 0
0 b b a 0 0
0 b b a a 0
0 b b a b 0
0 b b a c 0
0 b b b 0 0
0 b b b a 0
0 b b b b 0
0 b b b c 0
0 b b c 0 0
0 b b c a 0
0 b b c b 0
0 b b c c 0
0 b c 0 0 0
0 b c 0 a 0
0 b c 0 b 0
0 b c 0 c 0
0 b c a 0 0
0 b c a a 0
0 b c a b 0
0 b c a c 0
0 b c b 0 0
0 b c b a 0
0 b c b b 0
0 b c b c 0
0 b c c 0 0
0 b c c a 0
0 b c c b 0
0 b c c c 0
0 c 0 0 0 0
0 c 0 0 a 0
0 c 0 0 b 0
0 c 0 0 c 0
0 c 0 a 0 0
0 c 0 a a 0
0 c 0 a b 0
0 c 0 a c 0
0 c 0 b 0 0
0 c 0 b a 0
0 c 0 b b 0
0 c 0 b c 0
0 c 0 c 0 0
0 c 0 c a 0
0 c 0 c b 0
0 c 0 c c 0
0 c a 0 0 0
0 c a 0 a 0
0 c a 0 b 0
0 c a 0 c 0
0 c a a 0 0
0 c a a a 0
0 c a a b 0
0 c a a c 0
0 c a b 0 0
0 c a b a 0
0 c a b b 0
0 c a b c 0
0 c a c 0 0
0 c a c a 0
0 c a c b 0
0 c a c c 0
0 c b 0 0 0
0 c b 0 a 0
0 c b 0 b 0
0 c b 0 c 0
0 c b a 0 0
0 c b a a 0
0 c b a b 0
0 c b a c 0
0 c b b 0 0
0 c b b a 0
0 c b b b 0
0 c b b c 0
0 c b c 0 0
0 c b c a 0
0 c b c b 0
0 c b c c 0
0 c c 0 0 0
0 c c 0 a 0
0 c c 0 b 0
0 c c 0 c 0
0 c c a 0 0
0 c c a a 0
0 c c a b 0
0 c c a c 0
0 c c b 0 0
0 c c b a 0
0 c c b b 0
0 c c b c 0
0 c c c 0 0
0 c c c a 0
0 c c c b 0
0 c c c c 0
Is it a nice code?: No
Generator Matrix-25
a 0 0 0 0 a
b 0 0 0 0 b
0 c 0 0 0 c
0 0 c 0 0 0
0 0 0 c 0 0
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 0
0 0 0 c c 0
0 0 c 0 0 0
0 0 c 0 c 0
0 0 c c 0 0
0 0 c c c 0
0 c 0 0 0 c
0 c 0 0 c c
0 c 0 c 0 c
0 c 0 c c c
0 c c 0 0 c
0 c c 0 c c
0 c c c 0 c
0 c c c c c
b 0 0 0 0 b
b 0 0 0 c b
b 0 0 c 0 b
b 0 0 c c b
b 0 c 0 0 b
b 0 c 0 c b
b 0 c c 0 b
b 0 c c c b
b c 0 0 0 a
b c 0 0 c a
b c 0 c 0 a
b c 0 c c a
b c c 0 0 a
b c c 0 c a
b c c c 0 a
b c c c c a
a 0 0 0 0 a
a 0 0 0 c a
a 0 0 c 0 a
a 0 0 c c a
a 0 c 0 0 a
a 0 c 0 c a
a 0 c c 0 a
a 0 c c c a
a c 0 0 0 b
a c 0 0 c b
a c 0 c 0 b
a c 0 c c b
a c c 0 0 b
a c c 0 c b
a c c c 0 b
a c c c c b
c 0 0 0 0 c
c 0 0 0 c c
c 0 0 c 0 c
c 0 0 c c c
c 0 c 0 0 c
c 0 c 0 c c
c 0 c c 0 c
c 0 c c c c
c c 0 0 0 0
c c 0 0 c 0
c c 0 c 0 0
c c 0 c c 0
c c c 0 0 0
c c c 0 c 0
c c c c 0 0
c c c c c 0
dmin: 1
Weight Enumerator: 1x0 + 3x1 + 8x2 + 18x3 + 21x4 + 11x5 + 2x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)4 (X_b)2 + (X_0)3 (X_b)2 (X_c)1 + (X_0)3 (X_b)2 (X_c)1 + (X_0)2 (X_b)2 (X_c)2 + (X_0)3 (X_b)2 (X_c)1 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_a)1 (X_b)1 (X_c)4 + (X_0)4 (X_a)2 + (X_0)3 (X_a)2 (X_c)1 + (X_0)3 (X_a)2 (X_c)1 + (X_0)2 (X_a)2 (X_c)2 + (X_0)3 (X_a)2 (X_c)1 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_a)1 (X_b)1 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 0 a 0 0
0 0 0 a a 0
0 0 0 a b 0
0 0 0 a c 0
0 0 0 b 0 0
0 0 0 b a 0
0 0 0 b b 0
0 0 0 b c 0
0 0 0 c 0 0
0 0 0 c a 0
0 0 0 c b 0
0 0 0 c c 0
0 0 a 0 0 0
0 0 a 0 a 0
0 0 a 0 b 0
0 0 a 0 c 0
0 0 a a 0 0
0 0 a a a 0
0 0 a a b 0
0 0 a a c 0
0 0 a b 0 0
0 0 a b a 0
0 0 a b b 0
0 0 a b c 0
0 0 a c 0 0
0 0 a c a 0
0 0 a c b 0
0 0 a c c 0
0 0 b 0 0 0
0 0 b 0 a 0
0 0 b 0 b 0
0 0 b 0 c 0
0 0 b a 0 0
0 0 b a a 0
0 0 b a b 0
0 0 b a c 0
0 0 b b 0 0
0 0 b b a 0
0 0 b b b 0
0 0 b b c 0
0 0 b c 0 0
0 0 b c a 0
0 0 b c b 0
0 0 b c c 0
0 0 c 0 0 0
0 0 c 0 a 0
0 0 c 0 b 0
0 0 c 0 c 0
0 0 c a 0 0
0 0 c a a 0
0 0 c a b 0
0 0 c a c 0
0 0 c b 0 0
0 0 c b a 0
0 0 c b b 0
0 0 c b c 0
0 0 c c 0 0
0 0 c c a 0
0 0 c c b 0
0 0 c c c 0
0 a 0 0 0 0
0 a 0 0 a 0
0 a 0 0 b 0
0 a 0 0 c 0
0 a 0 a 0 0
0 a 0 a a 0
0 a 0 a b 0
0 a 0 a c 0
0 a 0 b 0 0
0 a 0 b a 0
0 a 0 b b 0
0 a 0 b c 0
0 a 0 c 0 0
0 a 0 c a 0
0 a 0 c b 0
0 a 0 c c 0
0 a a 0 0 0
0 a a 0 a 0
0 a a 0 b 0
0 a a 0 c 0
0 a a a 0 0
0 a a a a 0
0 a a a b 0
0 a a a c 0
0 a a b 0 0
0 a a b a 0
0 a a b b 0
0 a a b c 0
0 a a c 0 0
0 a a c a 0
0 a a c b 0
0 a a c c 0
0 a b 0 0 0
0 a b 0 a 0
0 a b 0 b 0
0 a b 0 c 0
0 a b a 0 0
0 a b a a 0
0 a b a b 0
0 a b a c 0
0 a b b 0 0
0 a b b a 0
0 a b b b 0
0 a b b c 0
0 a b c 0 0
0 a b c a 0
0 a b c b 0
0 a b c c 0
0 a c 0 0 0
0 a c 0 a 0
0 a c 0 b 0
0 a c 0 c 0
0 a c a 0 0
0 a c a a 0
0 a c a b 0
0 a c a c 0
0 a c b 0 0
0 a c b a 0
0 a c b b 0
0 a c b c 0
0 a c c 0 0
0 a c c a 0
0 a c c b 0
0 a c c c 0
0 b 0 0 0 0
0 b 0 0 a 0
0 b 0 0 b 0
0 b 0 0 c 0
0 b 0 a 0 0
0 b 0 a a 0
0 b 0 a b 0
0 b 0 a c 0
0 b 0 b 0 0
0 b 0 b a 0
0 b 0 b b 0
0 b 0 b c 0
0 b 0 c 0 0
0 b 0 c a 0
0 b 0 c b 0
0 b 0 c c 0
0 b a 0 0 0
0 b a 0 a 0
0 b a 0 b 0
0 b a 0 c 0
0 b a a 0 0
0 b a a a 0
0 b a a b 0
0 b a a c 0
0 b a b 0 0
0 b a b a 0
0 b a b b 0
0 b a b c 0
0 b a c 0 0
0 b a c a 0
0 b a c b 0
0 b a c c 0
0 b b 0 0 0
0 b b 0 a 0
0 b b 0 b 0
0 b b 0 c 0
0 b b a 0 0
0 b b a a 0
0 b b a b 0
0 b b a c 0
0 b b b 0 0
0 b b b a 0
0 b b b b 0
0 b b b c 0
0 b b c 0 0
0 b b c a 0
0 b b c b 0
0 b b c c 0
0 b c 0 0 0
0 b c 0 a 0
0 b c 0 b 0
0 b c 0 c 0
0 b c a 0 0
0 b c a a 0
0 b c a b 0
0 b c a c 0
0 b c b 0 0
0 b c b a 0
0 b c b b 0
0 b c b c 0
0 b c c 0 0
0 b c c a 0
0 b c c b 0
0 b c c c 0
0 c 0 0 0 0
0 c 0 0 a 0
0 c 0 0 b 0
0 c 0 0 c 0
0 c 0 a 0 0
0 c 0 a a 0
0 c 0 a b 0
0 c 0 a c 0
0 c 0 b 0 0
0 c 0 b a 0
0 c 0 b b 0
0 c 0 b c 0
0 c 0 c 0 0
0 c 0 c a 0
0 c 0 c b 0
0 c 0 c c 0
0 c a 0 0 0
0 c a 0 a 0
0 c a 0 b 0
0 c a 0 c 0
0 c a a 0 0
0 c a a a 0
0 c a a b 0
0 c a a c 0
0 c a b 0 0
0 c a b a 0
0 c a b b 0
0 c a b c 0
0 c a c 0 0
0 c a c a 0
0 c a c b 0
0 c a c c 0
0 c b 0 0 0
0 c b 0 a 0
0 c b 0 b 0
0 c b 0 c 0
0 c b a 0 0
0 c b a a 0
0 c b a b 0
0 c b a c 0
0 c b b 0 0
0 c b b a 0
0 c b b b 0
0 c b b c 0
0 c b c 0 0
0 c b c a 0
0 c b c b 0
0 c b c c 0
0 c c 0 0 0
0 c c 0 a 0
0 c c 0 b 0
0 c c 0 c 0
0 c c a 0 0
0 c c a a 0
0 c c a b 0
0 c c a c 0
0 c c b 0 0
0 c c b a 0
0 c c b b 0
0 c c b c 0
0 c c c 0 0
0 c c c a 0
0 c c c b 0
0 c c c c 0
Is it a nice code?: No
Generator Matrix-26
a 0 0 0 0 a
b 0 0 0 0 b
0 c 0 0 0 c
0 0 c 0 0 0
0 0 0 c 0 0
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 0
0 0 0 c c c
0 0 c 0 0 0
0 0 c 0 c c
0 0 c c 0 0
0 0 c c c c
0 c 0 0 0 c
0 c 0 0 c 0
0 c 0 c 0 c
0 c 0 c c 0
0 c c 0 0 c
0 c c 0 c 0
0 c c c 0 c
0 c c c c 0
b 0 0 0 0 b
b 0 0 0 c a
b 0 0 c 0 b
b 0 0 c c a
b 0 c 0 0 b
b 0 c 0 c a
b 0 c c 0 b
b 0 c c c a
b c 0 0 0 a
b c 0 0 c b
b c 0 c 0 a
b c 0 c c b
b c c 0 0 a
b c c 0 c b
b c c c 0 a
b c c c c b
a 0 0 0 0 a
a 0 0 0 c b
a 0 0 c 0 a
a 0 0 c c b
a 0 c 0 0 a
a 0 c 0 c b
a 0 c c 0 a
a 0 c c c b
a c 0 0 0 b
a c 0 0 c a
a c 0 c 0 b
a c 0 c c a
a c c 0 0 b
a c c 0 c a
a c c c 0 b
a c c c c a
c 0 0 0 0 c
c 0 0 0 c 0
c 0 0 c 0 c
c 0 0 c c 0
c 0 c 0 0 c
c 0 c 0 c 0
c 0 c c 0 c
c 0 c c c 0
c c 0 0 0 0
c c 0 0 c c
c c 0 c 0 0
c c 0 c c c
c c c 0 0 0
c c c 0 c c
c c c c 0 0
c c c c c c
dmin: 1
Weight Enumerator: 1x0 + 2x1 + 9x2 + 20x3 + 19x4 + 10x5 + 3x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)4 (X_b)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)3 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_b)2 (X_c)4 + (X_0)4 (X_a)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)3 (X_a)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_a)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_a)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_c)6
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 0 a 0 0
0 0 0 a a 0
0 0 0 a b 0
0 0 0 a c 0
0 0 0 b 0 0
0 0 0 b a 0
0 0 0 b b 0
0 0 0 b c 0
0 0 0 c 0 0
0 0 0 c a 0
0 0 0 c b 0
0 0 0 c c 0
0 0 a 0 0 0
0 0 a 0 a 0
0 0 a 0 b 0
0 0 a 0 c 0
0 0 a a 0 0
0 0 a a a 0
0 0 a a b 0
0 0 a a c 0
0 0 a b 0 0
0 0 a b a 0
0 0 a b b 0
0 0 a b c 0
0 0 a c 0 0
0 0 a c a 0
0 0 a c b 0
0 0 a c c 0
0 0 b 0 0 0
0 0 b 0 a 0
0 0 b 0 b 0
0 0 b 0 c 0
0 0 b a 0 0
0 0 b a a 0
0 0 b a b 0
0 0 b a c 0
0 0 b b 0 0
0 0 b b a 0
0 0 b b b 0
0 0 b b c 0
0 0 b c 0 0
0 0 b c a 0
0 0 b c b 0
0 0 b c c 0
0 0 c 0 0 0
0 0 c 0 a 0
0 0 c 0 b 0
0 0 c 0 c 0
0 0 c a 0 0
0 0 c a a 0
0 0 c a b 0
0 0 c a c 0
0 0 c b 0 0
0 0 c b a 0
0 0 c b b 0
0 0 c b c 0
0 0 c c 0 0
0 0 c c a 0
0 0 c c b 0
0 0 c c c 0
0 a 0 0 0 0
0 a 0 0 a 0
0 a 0 0 b 0
0 a 0 0 c 0
0 a 0 a 0 0
0 a 0 a a 0
0 a 0 a b 0
0 a 0 a c 0
0 a 0 b 0 0
0 a 0 b a 0
0 a 0 b b 0
0 a 0 b c 0
0 a 0 c 0 0
0 a 0 c a 0
0 a 0 c b 0
0 a 0 c c 0
0 a a 0 0 0
0 a a 0 a 0
0 a a 0 b 0
0 a a 0 c 0
0 a a a 0 0
0 a a a a 0
0 a a a b 0
0 a a a c 0
0 a a b 0 0
0 a a b a 0
0 a a b b 0
0 a a b c 0
0 a a c 0 0
0 a a c a 0
0 a a c b 0
0 a a c c 0
0 a b 0 0 0
0 a b 0 a 0
0 a b 0 b 0
0 a b 0 c 0
0 a b a 0 0
0 a b a a 0
0 a b a b 0
0 a b a c 0
0 a b b 0 0
0 a b b a 0
0 a b b b 0
0 a b b c 0
0 a b c 0 0
0 a b c a 0
0 a b c b 0
0 a b c c 0
0 a c 0 0 0
0 a c 0 a 0
0 a c 0 b 0
0 a c 0 c 0
0 a c a 0 0
0 a c a a 0
0 a c a b 0
0 a c a c 0
0 a c b 0 0
0 a c b a 0
0 a c b b 0
0 a c b c 0
0 a c c 0 0
0 a c c a 0
0 a c c b 0
0 a c c c 0
0 b 0 0 0 0
0 b 0 0 a 0
0 b 0 0 b 0
0 b 0 0 c 0
0 b 0 a 0 0
0 b 0 a a 0
0 b 0 a b 0
0 b 0 a c 0
0 b 0 b 0 0
0 b 0 b a 0
0 b 0 b b 0
0 b 0 b c 0
0 b 0 c 0 0
0 b 0 c a 0
0 b 0 c b 0
0 b 0 c c 0
0 b a 0 0 0
0 b a 0 a 0
0 b a 0 b 0
0 b a 0 c 0
0 b a a 0 0
0 b a a a 0
0 b a a b 0
0 b a a c 0
0 b a b 0 0
0 b a b a 0
0 b a b b 0
0 b a b c 0
0 b a c 0 0
0 b a c a 0
0 b a c b 0
0 b a c c 0
0 b b 0 0 0
0 b b 0 a 0
0 b b 0 b 0
0 b b 0 c 0
0 b b a 0 0
0 b b a a 0
0 b b a b 0
0 b b a c 0
0 b b b 0 0
0 b b b a 0
0 b b b b 0
0 b b b c 0
0 b b c 0 0
0 b b c a 0
0 b b c b 0
0 b b c c 0
0 b c 0 0 0
0 b c 0 a 0
0 b c 0 b 0
0 b c 0 c 0
0 b c a 0 0
0 b c a a 0
0 b c a b 0
0 b c a c 0
0 b c b 0 0
0 b c b a 0
0 b c b b 0
0 b c b c 0
0 b c c 0 0
0 b c c a 0
0 b c c b 0
0 b c c c 0
0 c 0 0 0 0
0 c 0 0 a 0
0 c 0 0 b 0
0 c 0 0 c 0
0 c 0 a 0 0
0 c 0 a a 0
0 c 0 a b 0
0 c 0 a c 0
0 c 0 b 0 0
0 c 0 b a 0
0 c 0 b b 0
0 c 0 b c 0
0 c 0 c 0 0
0 c 0 c a 0
0 c 0 c b 0
0 c 0 c c 0
0 c a 0 0 0
0 c a 0 a 0
0 c a 0 b 0
0 c a 0 c 0
0 c a a 0 0
0 c a a a 0
0 c a a b 0
0 c a a c 0
0 c a b 0 0
0 c a b a 0
0 c a b b 0
0 c a b c 0
0 c a c 0 0
0 c a c a 0
0 c a c b 0
0 c a c c 0
0 c b 0 0 0
0 c b 0 a 0
0 c b 0 b 0
0 c b 0 c 0
0 c b a 0 0
0 c b a a 0
0 c b a b 0
0 c b a c 0
0 c b b 0 0
0 c b b a 0
0 c b b b 0
0 c b b c 0
0 c b c 0 0
0 c b c a 0
0 c b c b 0
0 c b c c 0
0 c c 0 0 0
0 c c 0 a 0
0 c c 0 b 0
0 c c 0 c 0
0 c c a 0 0
0 c c a a 0
0 c c a b 0
0 c c a c 0
0 c c b 0 0
0 c c b a 0
0 c c b b 0
0 c c b c 0
0 c c c 0 0
0 c c c a 0
0 c c c b 0
0 c c c c 0
Is it a nice code?: No
Generator Matrix-27
a 0 0 0 0 a
b 0 0 0 0 b
0 c 0 0 0 c
0 0 c 0 0 0
0 0 0 c 0 c
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 c
0 0 0 c c c
0 0 c 0 0 0
0 0 c 0 c 0
0 0 c c 0 c
0 0 c c c c
0 c 0 0 0 c
0 c 0 0 c c
0 c 0 c 0 0
0 c 0 c c 0
0 c c 0 0 c
0 c c 0 c c
0 c c c 0 0
0 c c c c 0
b 0 0 0 0 b
b 0 0 0 c b
b 0 0 c 0 a
b 0 0 c c a
b 0 c 0 0 b
b 0 c 0 c b
b 0 c c 0 a
b 0 c c c a
b c 0 0 0 a
b c 0 0 c a
b c 0 c 0 b
b c 0 c c b
b c c 0 0 a
b c c 0 c a
b c c c 0 b
b c c c c b
a 0 0 0 0 a
a 0 0 0 c a
a 0 0 c 0 b
a 0 0 c c b
a 0 c 0 0 a
a 0 c 0 c a
a 0 c c 0 b
a 0 c c c b
a c 0 0 0 b
a c 0 0 c b
a c 0 c 0 a
a c 0 c c a
a c c 0 0 b
a c c 0 c b
a c c c 0 a
a c c c c a
c 0 0 0 0 c
c 0 0 0 c c
c 0 0 c 0 0
c 0 0 c c 0
c 0 c 0 0 c
c 0 c 0 c c
c 0 c c 0 0
c 0 c c c 0
c c 0 0 0 0
c c 0 0 c 0
c c 0 c 0 c
c c 0 c c c
c c c 0 0 0
c c c 0 c 0
c c c c 0 c
c c c c c c
dmin: 1
Weight Enumerator: 1x0 + 2x1 + 9x2 + 20x3 + 19x4 + 10x5 + 3x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_b)2 + (X_0)3 (X_b)2 (X_c)1 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_b)2 (X_c)1 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_b)2 (X_c)3 + (X_b)2 (X_c)4 + (X_0)4 (X_a)2 + (X_0)3 (X_a)2 (X_c)1 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_a)2 (X_c)1 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)2 (X_c)3 + (X_a)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_c)6
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 0 a 0 0
0 0 0 a a 0
0 0 0 a b 0
0 0 0 a c 0
0 0 0 b 0 0
0 0 0 b a 0
0 0 0 b b 0
0 0 0 b c 0
0 0 0 c 0 0
0 0 0 c a 0
0 0 0 c b 0
0 0 0 c c 0
0 0 a 0 0 0
0 0 a 0 a 0
0 0 a 0 b 0
0 0 a 0 c 0
0 0 a a 0 0
0 0 a a a 0
0 0 a a b 0
0 0 a a c 0
0 0 a b 0 0
0 0 a b a 0
0 0 a b b 0
0 0 a b c 0
0 0 a c 0 0
0 0 a c a 0
0 0 a c b 0
0 0 a c c 0
0 0 b 0 0 0
0 0 b 0 a 0
0 0 b 0 b 0
0 0 b 0 c 0
0 0 b a 0 0
0 0 b a a 0
0 0 b a b 0
0 0 b a c 0
0 0 b b 0 0
0 0 b b a 0
0 0 b b b 0
0 0 b b c 0
0 0 b c 0 0
0 0 b c a 0
0 0 b c b 0
0 0 b c c 0
0 0 c 0 0 0
0 0 c 0 a 0
0 0 c 0 b 0
0 0 c 0 c 0
0 0 c a 0 0
0 0 c a a 0
0 0 c a b 0
0 0 c a c 0
0 0 c b 0 0
0 0 c b a 0
0 0 c b b 0
0 0 c b c 0
0 0 c c 0 0
0 0 c c a 0
0 0 c c b 0
0 0 c c c 0
0 a 0 0 0 0
0 a 0 0 a 0
0 a 0 0 b 0
0 a 0 0 c 0
0 a 0 a 0 0
0 a 0 a a 0
0 a 0 a b 0
0 a 0 a c 0
0 a 0 b 0 0
0 a 0 b a 0
0 a 0 b b 0
0 a 0 b c 0
0 a 0 c 0 0
0 a 0 c a 0
0 a 0 c b 0
0 a 0 c c 0
0 a a 0 0 0
0 a a 0 a 0
0 a a 0 b 0
0 a a 0 c 0
0 a a a 0 0
0 a a a a 0
0 a a a b 0
0 a a a c 0
0 a a b 0 0
0 a a b a 0
0 a a b b 0
0 a a b c 0
0 a a c 0 0
0 a a c a 0
0 a a c b 0
0 a a c c 0
0 a b 0 0 0
0 a b 0 a 0
0 a b 0 b 0
0 a b 0 c 0
0 a b a 0 0
0 a b a a 0
0 a b a b 0
0 a b a c 0
0 a b b 0 0
0 a b b a 0
0 a b b b 0
0 a b b c 0
0 a b c 0 0
0 a b c a 0
0 a b c b 0
0 a b c c 0
0 a c 0 0 0
0 a c 0 a 0
0 a c 0 b 0
0 a c 0 c 0
0 a c a 0 0
0 a c a a 0
0 a c a b 0
0 a c a c 0
0 a c b 0 0
0 a c b a 0
0 a c b b 0
0 a c b c 0
0 a c c 0 0
0 a c c a 0
0 a c c b 0
0 a c c c 0
0 b 0 0 0 0
0 b 0 0 a 0
0 b 0 0 b 0
0 b 0 0 c 0
0 b 0 a 0 0
0 b 0 a a 0
0 b 0 a b 0
0 b 0 a c 0
0 b 0 b 0 0
0 b 0 b a 0
0 b 0 b b 0
0 b 0 b c 0
0 b 0 c 0 0
0 b 0 c a 0
0 b 0 c b 0
0 b 0 c c 0
0 b a 0 0 0
0 b a 0 a 0
0 b a 0 b 0
0 b a 0 c 0
0 b a a 0 0
0 b a a a 0
0 b a a b 0
0 b a a c 0
0 b a b 0 0
0 b a b a 0
0 b a b b 0
0 b a b c 0
0 b a c 0 0
0 b a c a 0
0 b a c b 0
0 b a c c 0
0 b b 0 0 0
0 b b 0 a 0
0 b b 0 b 0
0 b b 0 c 0
0 b b a 0 0
0 b b a a 0
0 b b a b 0
0 b b a c 0
0 b b b 0 0
0 b b b a 0
0 b b b b 0
0 b b b c 0
0 b b c 0 0
0 b b c a 0
0 b b c b 0
0 b b c c 0
0 b c 0 0 0
0 b c 0 a 0
0 b c 0 b 0
0 b c 0 c 0
0 b c a 0 0
0 b c a a 0
0 b c a b 0
0 b c a c 0
0 b c b 0 0
0 b c b a 0
0 b c b b 0
0 b c b c 0
0 b c c 0 0
0 b c c a 0
0 b c c b 0
0 b c c c 0
0 c 0 0 0 0
0 c 0 0 a 0
0 c 0 0 b 0
0 c 0 0 c 0
0 c 0 a 0 0
0 c 0 a a 0
0 c 0 a b 0
0 c 0 a c 0
0 c 0 b 0 0
0 c 0 b a 0
0 c 0 b b 0
0 c 0 b c 0
0 c 0 c 0 0
0 c 0 c a 0
0 c 0 c b 0
0 c 0 c c 0
0 c a 0 0 0
0 c a 0 a 0
0 c a 0 b 0
0 c a 0 c 0
0 c a a 0 0
0 c a a a 0
0 c a a b 0
0 c a a c 0
0 c a b 0 0
0 c a b a 0
0 c a b b 0
0 c a b c 0
0 c a c 0 0
0 c a c a 0
0 c a c b 0
0 c a c c 0
0 c b 0 0 0
0 c b 0 a 0
0 c b 0 b 0
0 c b 0 c 0
0 c b a 0 0
0 c b a a 0
0 c b a b 0
0 c b a c 0
0 c b b 0 0
0 c b b a 0
0 c b b b 0
0 c b b c 0
0 c b c 0 0
0 c b c a 0
0 c b c b 0
0 c b c c 0
0 c c 0 0 0
0 c c 0 a 0
0 c c 0 b 0
0 c c 0 c 0
0 c c a 0 0
0 c c a a 0
0 c c a b 0
0 c c a c 0
0 c c b 0 0
0 c c b a 0
0 c c b b 0
0 c c b c 0
0 c c c 0 0
0 c c c a 0
0 c c c b 0
0 c c c c 0
Is it a nice code?: No
Generator Matrix-28
a 0 0 0 0 a
b 0 0 0 0 b
0 c 0 0 0 c
0 0 c 0 0 0
0 0 0 c 0 c
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 c
0 0 0 c c 0
0 0 c 0 0 0
0 0 c 0 c c
0 0 c c 0 c
0 0 c c c 0
0 c 0 0 0 c
0 c 0 0 c 0
0 c 0 c 0 0
0 c 0 c c c
0 c c 0 0 c
0 c c 0 c 0
0 c c c 0 0
0 c c c c c
b 0 0 0 0 b
b 0 0 0 c a
b 0 0 c 0 a
b 0 0 c c b
b 0 c 0 0 b
b 0 c 0 c a
b 0 c c 0 a
b 0 c c c b
b c 0 0 0 a
b c 0 0 c b
b c 0 c 0 b
b c 0 c c a
b c c 0 0 a
b c c 0 c b
b c c c 0 b
b c c c c a
a 0 0 0 0 a
a 0 0 0 c b
a 0 0 c 0 b
a 0 0 c c a
a 0 c 0 0 a
a 0 c 0 c b
a 0 c c 0 b
a 0 c c c a
a c 0 0 0 b
a c 0 0 c a
a c 0 c 0 a
a c 0 c c b
a c c 0 0 b
a c c 0 c a
a c c c 0 a
a c c c c b
c 0 0 0 0 c
c 0 0 0 c 0
c 0 0 c 0 0
c 0 0 c c c
c 0 c 0 0 c
c 0 c 0 c 0
c 0 c c 0 0
c 0 c c c c
c c 0 0 0 0
c c 0 0 c c
c c 0 c 0 c
c c 0 c c 0
c c c 0 0 0
c c c 0 c c
c c c c 0 c
c c c c c 0
dmin: 1
Weight Enumerator: 1x0 + 1x1 + 12x2 + 18x3 + 17x4 + 13x5 + 2x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)4 (X_b)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_b)2 (X_c)2 + (X_0)3 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)1 (X_b)2 (X_c)3 + (X_a)1 (X_b)1 (X_c)4 + (X_0)4 (X_a)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_c)2 + (X_0)3 (X_a)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)1 (X_a)2 (X_c)3 + (X_a)1 (X_b)1 (X_c)4 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 0 a 0 0
0 0 0 a a 0
0 0 0 a b 0
0 0 0 a c 0
0 0 0 b 0 0
0 0 0 b a 0
0 0 0 b b 0
0 0 0 b c 0
0 0 0 c 0 0
0 0 0 c a 0
0 0 0 c b 0
0 0 0 c c 0
0 0 a 0 0 0
0 0 a 0 a 0
0 0 a 0 b 0
0 0 a 0 c 0
0 0 a a 0 0
0 0 a a a 0
0 0 a a b 0
0 0 a a c 0
0 0 a b 0 0
0 0 a b a 0
0 0 a b b 0
0 0 a b c 0
0 0 a c 0 0
0 0 a c a 0
0 0 a c b 0
0 0 a c c 0
0 0 b 0 0 0
0 0 b 0 a 0
0 0 b 0 b 0
0 0 b 0 c 0
0 0 b a 0 0
0 0 b a a 0
0 0 b a b 0
0 0 b a c 0
0 0 b b 0 0
0 0 b b a 0
0 0 b b b 0
0 0 b b c 0
0 0 b c 0 0
0 0 b c a 0
0 0 b c b 0
0 0 b c c 0
0 0 c 0 0 0
0 0 c 0 a 0
0 0 c 0 b 0
0 0 c 0 c 0
0 0 c a 0 0
0 0 c a a 0
0 0 c a b 0
0 0 c a c 0
0 0 c b 0 0
0 0 c b a 0
0 0 c b b 0
0 0 c b c 0
0 0 c c 0 0
0 0 c c a 0
0 0 c c b 0
0 0 c c c 0
0 a 0 0 0 0
0 a 0 0 a 0
0 a 0 0 b 0
0 a 0 0 c 0
0 a 0 a 0 0
0 a 0 a a 0
0 a 0 a b 0
0 a 0 a c 0
0 a 0 b 0 0
0 a 0 b a 0
0 a 0 b b 0
0 a 0 b c 0
0 a 0 c 0 0
0 a 0 c a 0
0 a 0 c b 0
0 a 0 c c 0
0 a a 0 0 0
0 a a 0 a 0
0 a a 0 b 0
0 a a 0 c 0
0 a a a 0 0
0 a a a a 0
0 a a a b 0
0 a a a c 0
0 a a b 0 0
0 a a b a 0
0 a a b b 0
0 a a b c 0
0 a a c 0 0
0 a a c a 0
0 a a c b 0
0 a a c c 0
0 a b 0 0 0
0 a b 0 a 0
0 a b 0 b 0
0 a b 0 c 0
0 a b a 0 0
0 a b a a 0
0 a b a b 0
0 a b a c 0
0 a b b 0 0
0 a b b a 0
0 a b b b 0
0 a b b c 0
0 a b c 0 0
0 a b c a 0
0 a b c b 0
0 a b c c 0
0 a c 0 0 0
0 a c 0 a 0
0 a c 0 b 0
0 a c 0 c 0
0 a c a 0 0
0 a c a a 0
0 a c a b 0
0 a c a c 0
0 a c b 0 0
0 a c b a 0
0 a c b b 0
0 a c b c 0
0 a c c 0 0
0 a c c a 0
0 a c c b 0
0 a c c c 0
0 b 0 0 0 0
0 b 0 0 a 0
0 b 0 0 b 0
0 b 0 0 c 0
0 b 0 a 0 0
0 b 0 a a 0
0 b 0 a b 0
0 b 0 a c 0
0 b 0 b 0 0
0 b 0 b a 0
0 b 0 b b 0
0 b 0 b c 0
0 b 0 c 0 0
0 b 0 c a 0
0 b 0 c b 0
0 b 0 c c 0
0 b a 0 0 0
0 b a 0 a 0
0 b a 0 b 0
0 b a 0 c 0
0 b a a 0 0
0 b a a a 0
0 b a a b 0
0 b a a c 0
0 b a b 0 0
0 b a b a 0
0 b a b b 0
0 b a b c 0
0 b a c 0 0
0 b a c a 0
0 b a c b 0
0 b a c c 0
0 b b 0 0 0
0 b b 0 a 0
0 b b 0 b 0
0 b b 0 c 0
0 b b a 0 0
0 b b a a 0
0 b b a b 0
0 b b a c 0
0 b b b 0 0
0 b b b a 0
0 b b b b 0
0 b b b c 0
0 b b c 0 0
0 b b c a 0
0 b b c b 0
0 b b c c 0
0 b c 0 0 0
0 b c 0 a 0
0 b c 0 b 0
0 b c 0 c 0
0 b c a 0 0
0 b c a a 0
0 b c a b 0
0 b c a c 0
0 b c b 0 0
0 b c b a 0
0 b c b b 0
0 b c b c 0
0 b c c 0 0
0 b c c a 0
0 b c c b 0
0 b c c c 0
0 c 0 0 0 0
0 c 0 0 a 0
0 c 0 0 b 0
0 c 0 0 c 0
0 c 0 a 0 0
0 c 0 a a 0
0 c 0 a b 0
0 c 0 a c 0
0 c 0 b 0 0
0 c 0 b a 0
0 c 0 b b 0
0 c 0 b c 0
0 c 0 c 0 0
0 c 0 c a 0
0 c 0 c b 0
0 c 0 c c 0
0 c a 0 0 0
0 c a 0 a 0
0 c a 0 b 0
0 c a 0 c 0
0 c a a 0 0
0 c a a a 0
0 c a a b 0
0 c a a c 0
0 c a b 0 0
0 c a b a 0
0 c a b b 0
0 c a b c 0
0 c a c 0 0
0 c a c a 0
0 c a c b 0
0 c a c c 0
0 c b 0 0 0
0 c b 0 a 0
0 c b 0 b 0
0 c b 0 c 0
0 c b a 0 0
0 c b a a 0
0 c b a b 0
0 c b a c 0
0 c b b 0 0
0 c b b a 0
0 c b b b 0
0 c b b c 0
0 c b c 0 0
0 c b c a 0
0 c b c b 0
0 c b c c 0
0 c c 0 0 0
0 c c 0 a 0
0 c c 0 b 0
0 c c 0 c 0
0 c c a 0 0
0 c c a a 0
0 c c a b 0
0 c c a c 0
0 c c b 0 0
0 c c b a 0
0 c c b b 0
0 c c b c 0
0 c c c 0 0
0 c c c a 0
0 c c c b 0
0 c c c c 0
Is it a nice code?: No
Generator Matrix-29
a 0 0 0 0 a
b 0 0 0 0 b
0 c 0 0 0 c
0 0 c 0 0 c
0 0 0 c 0 0
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 0
0 0 0 c c 0
0 0 c 0 0 c
0 0 c 0 c c
0 0 c c 0 c
0 0 c c c c
0 c 0 0 0 c
0 c 0 0 c c
0 c 0 c 0 c
0 c 0 c c c
0 c c 0 0 0
0 c c 0 c 0
0 c c c 0 0
0 c c c c 0
b 0 0 0 0 b
b 0 0 0 c b
b 0 0 c 0 b
b 0 0 c c b
b 0 c 0 0 a
b 0 c 0 c a
b 0 c c 0 a
b 0 c c c a
b c 0 0 0 a
b c 0 0 c a
b c 0 c 0 a
b c 0 c c a
b c c 0 0 b
b c c 0 c b
b c c c 0 b
b c c c c b
a 0 0 0 0 a
a 0 0 0 c a
a 0 0 c 0 a
a 0 0 c c a
a 0 c 0 0 b
a 0 c 0 c b
a 0 c c 0 b
a 0 c c c b
a c 0 0 0 b
a c 0 0 c b
a c 0 c 0 b
a c 0 c c b
a c c 0 0 a
a c c 0 c a
a c c c 0 a
a c c c c a
c 0 0 0 0 c
c 0 0 0 c c
c 0 0 c 0 c
c 0 0 c c c
c 0 c 0 0 0
c 0 c 0 c 0
c 0 c c 0 0
c 0 c c c 0
c c 0 0 0 0
c c 0 0 c 0
c c 0 c 0 0
c c 0 c c 0
c c c 0 0 c
c c c 0 c c
c c c c 0 c
c c c c c c
dmin: 1
Weight Enumerator: 1x0 + 2x1 + 9x2 + 20x3 + 19x4 + 10x5 + 3x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_b)2 + (X_0)3 (X_b)2 (X_c)1 + (X_0)3 (X_b)2 (X_c)1 + (X_0)2 (X_b)2 (X_c)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_b)2 (X_c)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)1 (X_b)2 (X_c)3 + (X_b)2 (X_c)4 + (X_0)4 (X_a)2 + (X_0)3 (X_a)2 (X_c)1 + (X_0)3 (X_a)2 (X_c)1 + (X_0)2 (X_a)2 (X_c)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)1 (X_a)2 (X_c)3 + (X_a)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5 + (X_c)6
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 0 a 0 0
0 0 0 a a 0
0 0 0 a b 0
0 0 0 a c 0
0 0 0 b 0 0
0 0 0 b a 0
0 0 0 b b 0
0 0 0 b c 0
0 0 0 c 0 0
0 0 0 c a 0
0 0 0 c b 0
0 0 0 c c 0
0 0 a 0 0 0
0 0 a 0 a 0
0 0 a 0 b 0
0 0 a 0 c 0
0 0 a a 0 0
0 0 a a a 0
0 0 a a b 0
0 0 a a c 0
0 0 a b 0 0
0 0 a b a 0
0 0 a b b 0
0 0 a b c 0
0 0 a c 0 0
0 0 a c a 0
0 0 a c b 0
0 0 a c c 0
0 0 b 0 0 0
0 0 b 0 a 0
0 0 b 0 b 0
0 0 b 0 c 0
0 0 b a 0 0
0 0 b a a 0
0 0 b a b 0
0 0 b a c 0
0 0 b b 0 0
0 0 b b a 0
0 0 b b b 0
0 0 b b c 0
0 0 b c 0 0
0 0 b c a 0
0 0 b c b 0
0 0 b c c 0
0 0 c 0 0 0
0 0 c 0 a 0
0 0 c 0 b 0
0 0 c 0 c 0
0 0 c a 0 0
0 0 c a a 0
0 0 c a b 0
0 0 c a c 0
0 0 c b 0 0
0 0 c b a 0
0 0 c b b 0
0 0 c b c 0
0 0 c c 0 0
0 0 c c a 0
0 0 c c b 0
0 0 c c c 0
0 a 0 0 0 0
0 a 0 0 a 0
0 a 0 0 b 0
0 a 0 0 c 0
0 a 0 a 0 0
0 a 0 a a 0
0 a 0 a b 0
0 a 0 a c 0
0 a 0 b 0 0
0 a 0 b a 0
0 a 0 b b 0
0 a 0 b c 0
0 a 0 c 0 0
0 a 0 c a 0
0 a 0 c b 0
0 a 0 c c 0
0 a a 0 0 0
0 a a 0 a 0
0 a a 0 b 0
0 a a 0 c 0
0 a a a 0 0
0 a a a a 0
0 a a a b 0
0 a a a c 0
0 a a b 0 0
0 a a b a 0
0 a a b b 0
0 a a b c 0
0 a a c 0 0
0 a a c a 0
0 a a c b 0
0 a a c c 0
0 a b 0 0 0
0 a b 0 a 0
0 a b 0 b 0
0 a b 0 c 0
0 a b a 0 0
0 a b a a 0
0 a b a b 0
0 a b a c 0
0 a b b 0 0
0 a b b a 0
0 a b b b 0
0 a b b c 0
0 a b c 0 0
0 a b c a 0
0 a b c b 0
0 a b c c 0
0 a c 0 0 0
0 a c 0 a 0
0 a c 0 b 0
0 a c 0 c 0
0 a c a 0 0
0 a c a a 0
0 a c a b 0
0 a c a c 0
0 a c b 0 0
0 a c b a 0
0 a c b b 0
0 a c b c 0
0 a c c 0 0
0 a c c a 0
0 a c c b 0
0 a c c c 0
0 b 0 0 0 0
0 b 0 0 a 0
0 b 0 0 b 0
0 b 0 0 c 0
0 b 0 a 0 0
0 b 0 a a 0
0 b 0 a b 0
0 b 0 a c 0
0 b 0 b 0 0
0 b 0 b a 0
0 b 0 b b 0
0 b 0 b c 0
0 b 0 c 0 0
0 b 0 c a 0
0 b 0 c b 0
0 b 0 c c 0
0 b a 0 0 0
0 b a 0 a 0
0 b a 0 b 0
0 b a 0 c 0
0 b a a 0 0
0 b a a a 0
0 b a a b 0
0 b a a c 0
0 b a b 0 0
0 b a b a 0
0 b a b b 0
0 b a b c 0
0 b a c 0 0
0 b a c a 0
0 b a c b 0
0 b a c c 0
0 b b 0 0 0
0 b b 0 a 0
0 b b 0 b 0
0 b b 0 c 0
0 b b a 0 0
0 b b a a 0
0 b b a b 0
0 b b a c 0
0 b b b 0 0
0 b b b a 0
0 b b b b 0
0 b b b c 0
0 b b c 0 0
0 b b c a 0
0 b b c b 0
0 b b c c 0
0 b c 0 0 0
0 b c 0 a 0
0 b c 0 b 0
0 b c 0 c 0
0 b c a 0 0
0 b c a a 0
0 b c a b 0
0 b c a c 0
0 b c b 0 0
0 b c b a 0
0 b c b b 0
0 b c b c 0
0 b c c 0 0
0 b c c a 0
0 b c c b 0
0 b c c c 0
0 c 0 0 0 0
0 c 0 0 a 0
0 c 0 0 b 0
0 c 0 0 c 0
0 c 0 a 0 0
0 c 0 a a 0
0 c 0 a b 0
0 c 0 a c 0
0 c 0 b 0 0
0 c 0 b a 0
0 c 0 b b 0
0 c 0 b c 0
0 c 0 c 0 0
0 c 0 c a 0
0 c 0 c b 0
0 c 0 c c 0
0 c a 0 0 0
0 c a 0 a 0
0 c a 0 b 0
0 c a 0 c 0
0 c a a 0 0
0 c a a a 0
0 c a a b 0
0 c a a c 0
0 c a b 0 0
0 c a b a 0
0 c a b b 0
0 c a b c 0
0 c a c 0 0
0 c a c a 0
0 c a c b 0
0 c a c c 0
0 c b 0 0 0
0 c b 0 a 0
0 c b 0 b 0
0 c b 0 c 0
0 c b a 0 0
0 c b a a 0
0 c b a b 0
0 c b a c 0
0 c b b 0 0
0 c b b a 0
0 c b b b 0
0 c b b c 0
0 c b c 0 0
0 c b c a 0
0 c b c b 0
0 c b c c 0
0 c c 0 0 0
0 c c 0 a 0
0 c c 0 b 0
0 c c 0 c 0
0 c c a 0 0
0 c c a a 0
0 c c a b 0
0 c c a c 0
0 c c b 0 0
0 c c b a 0
0 c c b b 0
0 c c b c 0
0 c c c 0 0
0 c c c a 0
0 c c c b 0
0 c c c c 0
Is it a nice code?: No
Generator Matrix-30
a 0 0 0 0 a
b 0 0 0 0 b
0 c 0 0 0 c
0 0 c 0 0 c
0 0 0 c 0 0
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 0
0 0 0 c c c
0 0 c 0 0 c
0 0 c 0 c 0
0 0 c c 0 c
0 0 c c c 0
0 c 0 0 0 c
0 c 0 0 c 0
0 c 0 c 0 c
0 c 0 c c 0
0 c c 0 0 0
0 c c 0 c c
0 c c c 0 0
0 c c c c c
b 0 0 0 0 b
b 0 0 0 c a
b 0 0 c 0 b
b 0 0 c c a
b 0 c 0 0 a
b 0 c 0 c b
b 0 c c 0 a
b 0 c c c b
b c 0 0 0 a
b c 0 0 c b
b c 0 c 0 a
b c 0 c c b
b c c 0 0 b
b c c 0 c a
b c c c 0 b
b c c c c a
a 0 0 0 0 a
a 0 0 0 c b
a 0 0 c 0 a
a 0 0 c c b
a 0 c 0 0 b
a 0 c 0 c a
a 0 c c 0 b
a 0 c c c a
a c 0 0 0 b
a c 0 0 c a
a c 0 c 0 b
a c 0 c c a
a c c 0 0 a
a c c 0 c b
a c c c 0 a
a c c c c b
c 0 0 0 0 c
c 0 0 0 c 0
c 0 0 c 0 c
c 0 0 c c 0
c 0 c 0 0 0
c 0 c 0 c c
c 0 c c 0 0
c 0 c c c c
c c 0 0 0 0
c c 0 0 c c
c c 0 c 0 0
c c 0 c c c
c c c 0 0 c
c c c 0 c 0
c c c c 0 c
c c c c c 0
dmin: 1
Weight Enumerator: 1x0 + 1x1 + 12x2 + 18x3 + 17x4 + 13x5 + 2x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)4 (X_b)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)3 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_b)2 (X_c)3 + (X_a)1 (X_b)1 (X_c)4 + (X_0)4 (X_a)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)3 (X_a)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)2 (X_c)3 + (X_a)1 (X_b)1 (X_c)4 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 0 a 0 0
0 0 0 a a 0
0 0 0 a b 0
0 0 0 a c 0
0 0 0 b 0 0
0 0 0 b a 0
0 0 0 b b 0
0 0 0 b c 0
0 0 0 c 0 0
0 0 0 c a 0
0 0 0 c b 0
0 0 0 c c 0
0 0 a 0 0 0
0 0 a 0 a 0
0 0 a 0 b 0
0 0 a 0 c 0
0 0 a a 0 0
0 0 a a a 0
0 0 a a b 0
0 0 a a c 0
0 0 a b 0 0
0 0 a b a 0
0 0 a b b 0
0 0 a b c 0
0 0 a c 0 0
0 0 a c a 0
0 0 a c b 0
0 0 a c c 0
0 0 b 0 0 0
0 0 b 0 a 0
0 0 b 0 b 0
0 0 b 0 c 0
0 0 b a 0 0
0 0 b a a 0
0 0 b a b 0
0 0 b a c 0
0 0 b b 0 0
0 0 b b a 0
0 0 b b b 0
0 0 b b c 0
0 0 b c 0 0
0 0 b c a 0
0 0 b c b 0
0 0 b c c 0
0 0 c 0 0 0
0 0 c 0 a 0
0 0 c 0 b 0
0 0 c 0 c 0
0 0 c a 0 0
0 0 c a a 0
0 0 c a b 0
0 0 c a c 0
0 0 c b 0 0
0 0 c b a 0
0 0 c b b 0
0 0 c b c 0
0 0 c c 0 0
0 0 c c a 0
0 0 c c b 0
0 0 c c c 0
0 a 0 0 0 0
0 a 0 0 a 0
0 a 0 0 b 0
0 a 0 0 c 0
0 a 0 a 0 0
0 a 0 a a 0
0 a 0 a b 0
0 a 0 a c 0
0 a 0 b 0 0
0 a 0 b a 0
0 a 0 b b 0
0 a 0 b c 0
0 a 0 c 0 0
0 a 0 c a 0
0 a 0 c b 0
0 a 0 c c 0
0 a a 0 0 0
0 a a 0 a 0
0 a a 0 b 0
0 a a 0 c 0
0 a a a 0 0
0 a a a a 0
0 a a a b 0
0 a a a c 0
0 a a b 0 0
0 a a b a 0
0 a a b b 0
0 a a b c 0
0 a a c 0 0
0 a a c a 0
0 a a c b 0
0 a a c c 0
0 a b 0 0 0
0 a b 0 a 0
0 a b 0 b 0
0 a b 0 c 0
0 a b a 0 0
0 a b a a 0
0 a b a b 0
0 a b a c 0
0 a b b 0 0
0 a b b a 0
0 a b b b 0
0 a b b c 0
0 a b c 0 0
0 a b c a 0
0 a b c b 0
0 a b c c 0
0 a c 0 0 0
0 a c 0 a 0
0 a c 0 b 0
0 a c 0 c 0
0 a c a 0 0
0 a c a a 0
0 a c a b 0
0 a c a c 0
0 a c b 0 0
0 a c b a 0
0 a c b b 0
0 a c b c 0
0 a c c 0 0
0 a c c a 0
0 a c c b 0
0 a c c c 0
0 b 0 0 0 0
0 b 0 0 a 0
0 b 0 0 b 0
0 b 0 0 c 0
0 b 0 a 0 0
0 b 0 a a 0
0 b 0 a b 0
0 b 0 a c 0
0 b 0 b 0 0
0 b 0 b a 0
0 b 0 b b 0
0 b 0 b c 0
0 b 0 c 0 0
0 b 0 c a 0
0 b 0 c b 0
0 b 0 c c 0
0 b a 0 0 0
0 b a 0 a 0
0 b a 0 b 0
0 b a 0 c 0
0 b a a 0 0
0 b a a a 0
0 b a a b 0
0 b a a c 0
0 b a b 0 0
0 b a b a 0
0 b a b b 0
0 b a b c 0
0 b a c 0 0
0 b a c a 0
0 b a c b 0
0 b a c c 0
0 b b 0 0 0
0 b b 0 a 0
0 b b 0 b 0
0 b b 0 c 0
0 b b a 0 0
0 b b a a 0
0 b b a b 0
0 b b a c 0
0 b b b 0 0
0 b b b a 0
0 b b b b 0
0 b b b c 0
0 b b c 0 0
0 b b c a 0
0 b b c b 0
0 b b c c 0
0 b c 0 0 0
0 b c 0 a 0
0 b c 0 b 0
0 b c 0 c 0
0 b c a 0 0
0 b c a a 0
0 b c a b 0
0 b c a c 0
0 b c b 0 0
0 b c b a 0
0 b c b b 0
0 b c b c 0
0 b c c 0 0
0 b c c a 0
0 b c c b 0
0 b c c c 0
0 c 0 0 0 0
0 c 0 0 a 0
0 c 0 0 b 0
0 c 0 0 c 0
0 c 0 a 0 0
0 c 0 a a 0
0 c 0 a b 0
0 c 0 a c 0
0 c 0 b 0 0
0 c 0 b a 0
0 c 0 b b 0
0 c 0 b c 0
0 c 0 c 0 0
0 c 0 c a 0
0 c 0 c b 0
0 c 0 c c 0
0 c a 0 0 0
0 c a 0 a 0
0 c a 0 b 0
0 c a 0 c 0
0 c a a 0 0
0 c a a a 0
0 c a a b 0
0 c a a c 0
0 c a b 0 0
0 c a b a 0
0 c a b b 0
0 c a b c 0
0 c a c 0 0
0 c a c a 0
0 c a c b 0
0 c a c c 0
0 c b 0 0 0
0 c b 0 a 0
0 c b 0 b 0
0 c b 0 c 0
0 c b a 0 0
0 c b a a 0
0 c b a b 0
0 c b a c 0
0 c b b 0 0
0 c b b a 0
0 c b b b 0
0 c b b c 0
0 c b c 0 0
0 c b c a 0
0 c b c b 0
0 c b c c 0
0 c c 0 0 0
0 c c 0 a 0
0 c c 0 b 0
0 c c 0 c 0
0 c c a 0 0
0 c c a a 0
0 c c a b 0
0 c c a c 0
0 c c b 0 0
0 c c b a 0
0 c c b b 0
0 c c b c 0
0 c c c 0 0
0 c c c a 0
0 c c c b 0
0 c c c c 0
Is it a nice code?: No
Generator Matrix-31
a 0 0 0 0 a
b 0 0 0 0 b
0 c 0 0 0 c
0 0 c 0 0 c
0 0 0 c 0 c
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 c
0 0 0 c c c
0 0 c 0 0 c
0 0 c 0 c c
0 0 c c 0 0
0 0 c c c 0
0 c 0 0 0 c
0 c 0 0 c c
0 c 0 c 0 0
0 c 0 c c 0
0 c c 0 0 0
0 c c 0 c 0
0 c c c 0 c
0 c c c c c
b 0 0 0 0 b
b 0 0 0 c b
b 0 0 c 0 a
b 0 0 c c a
b 0 c 0 0 a
b 0 c 0 c a
b 0 c c 0 b
b 0 c c c b
b c 0 0 0 a
b c 0 0 c a
b c 0 c 0 b
b c 0 c c b
b c c 0 0 b
b c c 0 c b
b c c c 0 a
b c c c c a
a 0 0 0 0 a
a 0 0 0 c a
a 0 0 c 0 b
a 0 0 c c b
a 0 c 0 0 b
a 0 c 0 c b
a 0 c c 0 a
a 0 c c c a
a c 0 0 0 b
a c 0 0 c b
a c 0 c 0 a
a c 0 c c a
a c c 0 0 a
a c c 0 c a
a c c c 0 b
a c c c c b
c 0 0 0 0 c
c 0 0 0 c c
c 0 0 c 0 0
c 0 0 c c 0
c 0 c 0 0 0
c 0 c 0 c 0
c 0 c c 0 c
c 0 c c c c
c c 0 0 0 0
c c 0 0 c 0
c c 0 c 0 c
c c 0 c c c
c c c 0 0 c
c c c 0 c c
c c c c 0 0
c c c c c 0
dmin: 1
Weight Enumerator: 1x0 + 1x1 + 12x2 + 18x3 + 17x4 + 13x5 + 2x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)4 (X_b)2 + (X_0)3 (X_b)2 (X_c)1 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)2 (X_b)2 (X_c)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_a)1 (X_b)1 (X_c)4 + (X_0)4 (X_a)2 + (X_0)3 (X_a)2 (X_c)1 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_a)1 (X_b)1 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 0 a 0 0
0 0 0 a a 0
0 0 0 a b 0
0 0 0 a c 0
0 0 0 b 0 0
0 0 0 b a 0
0 0 0 b b 0
0 0 0 b c 0
0 0 0 c 0 0
0 0 0 c a 0
0 0 0 c b 0
0 0 0 c c 0
0 0 a 0 0 0
0 0 a 0 a 0
0 0 a 0 b 0
0 0 a 0 c 0
0 0 a a 0 0
0 0 a a a 0
0 0 a a b 0
0 0 a a c 0
0 0 a b 0 0
0 0 a b a 0
0 0 a b b 0
0 0 a b c 0
0 0 a c 0 0
0 0 a c a 0
0 0 a c b 0
0 0 a c c 0
0 0 b 0 0 0
0 0 b 0 a 0
0 0 b 0 b 0
0 0 b 0 c 0
0 0 b a 0 0
0 0 b a a 0
0 0 b a b 0
0 0 b a c 0
0 0 b b 0 0
0 0 b b a 0
0 0 b b b 0
0 0 b b c 0
0 0 b c 0 0
0 0 b c a 0
0 0 b c b 0
0 0 b c c 0
0 0 c 0 0 0
0 0 c 0 a 0
0 0 c 0 b 0
0 0 c 0 c 0
0 0 c a 0 0
0 0 c a a 0
0 0 c a b 0
0 0 c a c 0
0 0 c b 0 0
0 0 c b a 0
0 0 c b b 0
0 0 c b c 0
0 0 c c 0 0
0 0 c c a 0
0 0 c c b 0
0 0 c c c 0
0 a 0 0 0 0
0 a 0 0 a 0
0 a 0 0 b 0
0 a 0 0 c 0
0 a 0 a 0 0
0 a 0 a a 0
0 a 0 a b 0
0 a 0 a c 0
0 a 0 b 0 0
0 a 0 b a 0
0 a 0 b b 0
0 a 0 b c 0
0 a 0 c 0 0
0 a 0 c a 0
0 a 0 c b 0
0 a 0 c c 0
0 a a 0 0 0
0 a a 0 a 0
0 a a 0 b 0
0 a a 0 c 0
0 a a a 0 0
0 a a a a 0
0 a a a b 0
0 a a a c 0
0 a a b 0 0
0 a a b a 0
0 a a b b 0
0 a a b c 0
0 a a c 0 0
0 a a c a 0
0 a a c b 0
0 a a c c 0
0 a b 0 0 0
0 a b 0 a 0
0 a b 0 b 0
0 a b 0 c 0
0 a b a 0 0
0 a b a a 0
0 a b a b 0
0 a b a c 0
0 a b b 0 0
0 a b b a 0
0 a b b b 0
0 a b b c 0
0 a b c 0 0
0 a b c a 0
0 a b c b 0
0 a b c c 0
0 a c 0 0 0
0 a c 0 a 0
0 a c 0 b 0
0 a c 0 c 0
0 a c a 0 0
0 a c a a 0
0 a c a b 0
0 a c a c 0
0 a c b 0 0
0 a c b a 0
0 a c b b 0
0 a c b c 0
0 a c c 0 0
0 a c c a 0
0 a c c b 0
0 a c c c 0
0 b 0 0 0 0
0 b 0 0 a 0
0 b 0 0 b 0
0 b 0 0 c 0
0 b 0 a 0 0
0 b 0 a a 0
0 b 0 a b 0
0 b 0 a c 0
0 b 0 b 0 0
0 b 0 b a 0
0 b 0 b b 0
0 b 0 b c 0
0 b 0 c 0 0
0 b 0 c a 0
0 b 0 c b 0
0 b 0 c c 0
0 b a 0 0 0
0 b a 0 a 0
0 b a 0 b 0
0 b a 0 c 0
0 b a a 0 0
0 b a a a 0
0 b a a b 0
0 b a a c 0
0 b a b 0 0
0 b a b a 0
0 b a b b 0
0 b a b c 0
0 b a c 0 0
0 b a c a 0
0 b a c b 0
0 b a c c 0
0 b b 0 0 0
0 b b 0 a 0
0 b b 0 b 0
0 b b 0 c 0
0 b b a 0 0
0 b b a a 0
0 b b a b 0
0 b b a c 0
0 b b b 0 0
0 b b b a 0
0 b b b b 0
0 b b b c 0
0 b b c 0 0
0 b b c a 0
0 b b c b 0
0 b b c c 0
0 b c 0 0 0
0 b c 0 a 0
0 b c 0 b 0
0 b c 0 c 0
0 b c a 0 0
0 b c a a 0
0 b c a b 0
0 b c a c 0
0 b c b 0 0
0 b c b a 0
0 b c b b 0
0 b c b c 0
0 b c c 0 0
0 b c c a 0
0 b c c b 0
0 b c c c 0
0 c 0 0 0 0
0 c 0 0 a 0
0 c 0 0 b 0
0 c 0 0 c 0
0 c 0 a 0 0
0 c 0 a a 0
0 c 0 a b 0
0 c 0 a c 0
0 c 0 b 0 0
0 c 0 b a 0
0 c 0 b b 0
0 c 0 b c 0
0 c 0 c 0 0
0 c 0 c a 0
0 c 0 c b 0
0 c 0 c c 0
0 c a 0 0 0
0 c a 0 a 0
0 c a 0 b 0
0 c a 0 c 0
0 c a a 0 0
0 c a a a 0
0 c a a b 0
0 c a a c 0
0 c a b 0 0
0 c a b a 0
0 c a b b 0
0 c a b c 0
0 c a c 0 0
0 c a c a 0
0 c a c b 0
0 c a c c 0
0 c b 0 0 0
0 c b 0 a 0
0 c b 0 b 0
0 c b 0 c 0
0 c b a 0 0
0 c b a a 0
0 c b a b 0
0 c b a c 0
0 c b b 0 0
0 c b b a 0
0 c b b b 0
0 c b b c 0
0 c b c 0 0
0 c b c a 0
0 c b c b 0
0 c b c c 0
0 c c 0 0 0
0 c c 0 a 0
0 c c 0 b 0
0 c c 0 c 0
0 c c a 0 0
0 c c a a 0
0 c c a b 0
0 c c a c 0
0 c c b 0 0
0 c c b a 0
0 c c b b 0
0 c c b c 0
0 c c c 0 0
0 c c c a 0
0 c c c b 0
0 c c c c 0
Is it a nice code?: No
Generator Matrix-32
a 0 0 0 0 a
b 0 0 0 0 b
0 c 0 0 0 c
0 0 c 0 0 c
0 0 0 c 0 c
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 c
0 0 0 c c 0
0 0 c 0 0 c
0 0 c 0 c 0
0 0 c c 0 0
0 0 c c c c
0 c 0 0 0 c
0 c 0 0 c 0
0 c 0 c 0 0
0 c 0 c c c
0 c c 0 0 0
0 c c 0 c c
0 c c c 0 c
0 c c c c 0
b 0 0 0 0 b
b 0 0 0 c a
b 0 0 c 0 a
b 0 0 c c b
b 0 c 0 0 a
b 0 c 0 c b
b 0 c c 0 b
b 0 c c c a
b c 0 0 0 a
b c 0 0 c b
b c 0 c 0 b
b c 0 c c a
b c c 0 0 b
b c c 0 c a
b c c c 0 a
b c c c c b
a 0 0 0 0 a
a 0 0 0 c b
a 0 0 c 0 b
a 0 0 c c a
a 0 c 0 0 b
a 0 c 0 c a
a 0 c c 0 a
a 0 c c c b
a c 0 0 0 b
a c 0 0 c a
a c 0 c 0 a
a c 0 c c b
a c c 0 0 a
a c c 0 c b
a c c c 0 b
a c c c c a
c 0 0 0 0 c
c 0 0 0 c 0
c 0 0 c 0 0
c 0 0 c c c
c 0 c 0 0 0
c 0 c 0 c c
c 0 c c 0 c
c 0 c c c 0
c c 0 0 0 0
c c 0 0 c c
c c 0 c 0 c
c c 0 c c 0
c c c 0 0 c
c c c 0 c 0
c c c c 0 0
c c c c c c
dmin: 2
Weight Enumerator: 1x0 + 0x1 + 17x2 + 8x3 + 27x4 + 8x5 + 3x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)4 (X_b)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_b)2 (X_c)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_b)2 (X_c)4 + (X_0)4 (X_a)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_c)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_a)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_c)6
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 0 a 0 0
0 0 0 a a 0
0 0 0 a b 0
0 0 0 a c 0
0 0 0 b 0 0
0 0 0 b a 0
0 0 0 b b 0
0 0 0 b c 0
0 0 0 c 0 0
0 0 0 c a 0
0 0 0 c b 0
0 0 0 c c 0
0 0 a 0 0 0
0 0 a 0 a 0
0 0 a 0 b 0
0 0 a 0 c 0
0 0 a a 0 0
0 0 a a a 0
0 0 a a b 0
0 0 a a c 0
0 0 a b 0 0
0 0 a b a 0
0 0 a b b 0
0 0 a b c 0
0 0 a c 0 0
0 0 a c a 0
0 0 a c b 0
0 0 a c c 0
0 0 b 0 0 0
0 0 b 0 a 0
0 0 b 0 b 0
0 0 b 0 c 0
0 0 b a 0 0
0 0 b a a 0
0 0 b a b 0
0 0 b a c 0
0 0 b b 0 0
0 0 b b a 0
0 0 b b b 0
0 0 b b c 0
0 0 b c 0 0
0 0 b c a 0
0 0 b c b 0
0 0 b c c 0
0 0 c 0 0 0
0 0 c 0 a 0
0 0 c 0 b 0
0 0 c 0 c 0
0 0 c a 0 0
0 0 c a a 0
0 0 c a b 0
0 0 c a c 0
0 0 c b 0 0
0 0 c b a 0
0 0 c b b 0
0 0 c b c 0
0 0 c c 0 0
0 0 c c a 0
0 0 c c b 0
0 0 c c c 0
0 a 0 0 0 0
0 a 0 0 a 0
0 a 0 0 b 0
0 a 0 0 c 0
0 a 0 a 0 0
0 a 0 a a 0
0 a 0 a b 0
0 a 0 a c 0
0 a 0 b 0 0
0 a 0 b a 0
0 a 0 b b 0
0 a 0 b c 0
0 a 0 c 0 0
0 a 0 c a 0
0 a 0 c b 0
0 a 0 c c 0
0 a a 0 0 0
0 a a 0 a 0
0 a a 0 b 0
0 a a 0 c 0
0 a a a 0 0
0 a a a a 0
0 a a a b 0
0 a a a c 0
0 a a b 0 0
0 a a b a 0
0 a a b b 0
0 a a b c 0
0 a a c 0 0
0 a a c a 0
0 a a c b 0
0 a a c c 0
0 a b 0 0 0
0 a b 0 a 0
0 a b 0 b 0
0 a b 0 c 0
0 a b a 0 0
0 a b a a 0
0 a b a b 0
0 a b a c 0
0 a b b 0 0
0 a b b a 0
0 a b b b 0
0 a b b c 0
0 a b c 0 0
0 a b c a 0
0 a b c b 0
0 a b c c 0
0 a c 0 0 0
0 a c 0 a 0
0 a c 0 b 0
0 a c 0 c 0
0 a c a 0 0
0 a c a a 0
0 a c a b 0
0 a c a c 0
0 a c b 0 0
0 a c b a 0
0 a c b b 0
0 a c b c 0
0 a c c 0 0
0 a c c a 0
0 a c c b 0
0 a c c c 0
0 b 0 0 0 0
0 b 0 0 a 0
0 b 0 0 b 0
0 b 0 0 c 0
0 b 0 a 0 0
0 b 0 a a 0
0 b 0 a b 0
0 b 0 a c 0
0 b 0 b 0 0
0 b 0 b a 0
0 b 0 b b 0
0 b 0 b c 0
0 b 0 c 0 0
0 b 0 c a 0
0 b 0 c b 0
0 b 0 c c 0
0 b a 0 0 0
0 b a 0 a 0
0 b a 0 b 0
0 b a 0 c 0
0 b a a 0 0
0 b a a a 0
0 b a a b 0
0 b a a c 0
0 b a b 0 0
0 b a b a 0
0 b a b b 0
0 b a b c 0
0 b a c 0 0
0 b a c a 0
0 b a c b 0
0 b a c c 0
0 b b 0 0 0
0 b b 0 a 0
0 b b 0 b 0
0 b b 0 c 0
0 b b a 0 0
0 b b a a 0
0 b b a b 0
0 b b a c 0
0 b b b 0 0
0 b b b a 0
0 b b b b 0
0 b b b c 0
0 b b c 0 0
0 b b c a 0
0 b b c b 0
0 b b c c 0
0 b c 0 0 0
0 b c 0 a 0
0 b c 0 b 0
0 b c 0 c 0
0 b c a 0 0
0 b c a a 0
0 b c a b 0
0 b c a c 0
0 b c b 0 0
0 b c b a 0
0 b c b b 0
0 b c b c 0
0 b c c 0 0
0 b c c a 0
0 b c c b 0
0 b c c c 0
0 c 0 0 0 0
0 c 0 0 a 0
0 c 0 0 b 0
0 c 0 0 c 0
0 c 0 a 0 0
0 c 0 a a 0
0 c 0 a b 0
0 c 0 a c 0
0 c 0 b 0 0
0 c 0 b a 0
0 c 0 b b 0
0 c 0 b c 0
0 c 0 c 0 0
0 c 0 c a 0
0 c 0 c b 0
0 c 0 c c 0
0 c a 0 0 0
0 c a 0 a 0
0 c a 0 b 0
0 c a 0 c 0
0 c a a 0 0
0 c a a a 0
0 c a a b 0
0 c a a c 0
0 c a b 0 0
0 c a b a 0
0 c a b b 0
0 c a b c 0
0 c a c 0 0
0 c a c a 0
0 c a c b 0
0 c a c c 0
0 c b 0 0 0
0 c b 0 a 0
0 c b 0 b 0
0 c b 0 c 0
0 c b a 0 0
0 c b a a 0
0 c b a b 0
0 c b a c 0
0 c b b 0 0
0 c b b a 0
0 c b b b 0
0 c b b c 0
0 c b c 0 0
0 c b c a 0
0 c b c b 0
0 c b c c 0
0 c c 0 0 0
0 c c 0 a 0
0 c c 0 b 0
0 c c 0 c 0
0 c c a 0 0
0 c c a a 0
0 c c a b 0
0 c c a c 0
0 c c b 0 0
0 c c b a 0
0 c c b b 0
0 c c b c 0
0 c c c 0 0
0 c c c a 0
0 c c c b 0
0 c c c c 0
Is it a nice code?: No
Generator Matrix-33
a 0 0 0 a 0
b 0 0 0 b 0
0 c 0 0 0 0
0 0 c 0 0 0
0 0 0 c 0 0
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 0
0 0 0 c c 0
0 0 c 0 0 0
0 0 c 0 c 0
0 0 c c 0 0
0 0 c c c 0
0 c 0 0 0 0
0 c 0 0 c 0
0 c 0 c 0 0
0 c 0 c c 0
0 c c 0 0 0
0 c c 0 c 0
0 c c c 0 0
0 c c c c 0
b 0 0 0 b 0
b 0 0 0 a 0
b 0 0 c b 0
b 0 0 c a 0
b 0 c 0 b 0
b 0 c 0 a 0
b 0 c c b 0
b 0 c c a 0
b c 0 0 b 0
b c 0 0 a 0
b c 0 c b 0
b c 0 c a 0
b c c 0 b 0
b c c 0 a 0
b c c c b 0
b c c c a 0
a 0 0 0 a 0
a 0 0 0 b 0
a 0 0 c a 0
a 0 0 c b 0
a 0 c 0 a 0
a 0 c 0 b 0
a 0 c c a 0
a 0 c c b 0
a c 0 0 a 0
a c 0 0 b 0
a c 0 c a 0
a c 0 c b 0
a c c 0 a 0
a c c 0 b 0
a c c c a 0
a c c c b 0
c 0 0 0 c 0
c 0 0 0 0 0
c 0 0 c c 0
c 0 0 c 0 0
c 0 c 0 c 0
c 0 c 0 0 0
c 0 c c c 0
c 0 c c 0 0
c c 0 0 c 0
c c 0 0 0 0
c c 0 c c 0
c c 0 c 0 0
c c c 0 c 0
c c c 0 0 0
c c c c c 0
c c c c 0 0
dmin: 1
Weight Enumerator: 1x0 + 5x1 + 14x2 + 22x3 + 17x4 + 5x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_b)2 + (X_0)4 (X_a)1 (X_b)1 + (X_0)3 (X_b)2 (X_c)1 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)3 (X_b)2 (X_c)1 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_b)2 (X_c)1 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_a)2 + (X_0)4 (X_a)1 (X_b)1 + (X_0)3 (X_a)2 (X_c)1 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)3 (X_a)2 (X_c)1 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_a)2 (X_c)1 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 a a 0 0
0 0 a a 0 a
0 0 a a 0 b
0 0 a a 0 c
0 0 a b 0 0
0 0 a b 0 a
0 0 a b 0 b
0 0 a b 0 c
0 0 a c 0 0
0 0 a c 0 a
0 0 a c 0 b
0 0 a c 0 c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 b a 0 0
0 0 b a 0 a
0 0 b a 0 b
0 0 b a 0 c
0 0 b b 0 0
0 0 b b 0 a
0 0 b b 0 b
0 0 b b 0 c
0 0 b c 0 0
0 0 b c 0 a
0 0 b c 0 b
0 0 b c 0 c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c
0 0 c a 0 0
0 0 c a 0 a
0 0 c a 0 b
0 0 c a 0 c
0 0 c b 0 0
0 0 c b 0 a
0 0 c b 0 b
0 0 c b 0 c
0 0 c c 0 0
0 0 c c 0 a
0 0 c c 0 b
0 0 c c 0 c
0 a 0 0 0 0
0 a 0 0 0 a
0 a 0 0 0 b
0 a 0 0 0 c
0 a 0 a 0 0
0 a 0 a 0 a
0 a 0 a 0 b
0 a 0 a 0 c
0 a 0 b 0 0
0 a 0 b 0 a
0 a 0 b 0 b
0 a 0 b 0 c
0 a 0 c 0 0
0 a 0 c 0 a
0 a 0 c 0 b
0 a 0 c 0 c
0 a a 0 0 0
0 a a 0 0 a
0 a a 0 0 b
0 a a 0 0 c
0 a a a 0 0
0 a a a 0 a
0 a a a 0 b
0 a a a 0 c
0 a a b 0 0
0 a a b 0 a
0 a a b 0 b
0 a a b 0 c
0 a a c 0 0
0 a a c 0 a
0 a a c 0 b
0 a a c 0 c
0 a b 0 0 0
0 a b 0 0 a
0 a b 0 0 b
0 a b 0 0 c
0 a b a 0 0
0 a b a 0 a
0 a b a 0 b
0 a b a 0 c
0 a b b 0 0
0 a b b 0 a
0 a b b 0 b
0 a b b 0 c
0 a b c 0 0
0 a b c 0 a
0 a b c 0 b
0 a b c 0 c
0 a c 0 0 0
0 a c 0 0 a
0 a c 0 0 b
0 a c 0 0 c
0 a c a 0 0
0 a c a 0 a
0 a c a 0 b
0 a c a 0 c
0 a c b 0 0
0 a c b 0 a
0 a c b 0 b
0 a c b 0 c
0 a c c 0 0
0 a c c 0 a
0 a c c 0 b
0 a c c 0 c
0 b 0 0 0 0
0 b 0 0 0 a
0 b 0 0 0 b
0 b 0 0 0 c
0 b 0 a 0 0
0 b 0 a 0 a
0 b 0 a 0 b
0 b 0 a 0 c
0 b 0 b 0 0
0 b 0 b 0 a
0 b 0 b 0 b
0 b 0 b 0 c
0 b 0 c 0 0
0 b 0 c 0 a
0 b 0 c 0 b
0 b 0 c 0 c
0 b a 0 0 0
0 b a 0 0 a
0 b a 0 0 b
0 b a 0 0 c
0 b a a 0 0
0 b a a 0 a
0 b a a 0 b
0 b a a 0 c
0 b a b 0 0
0 b a b 0 a
0 b a b 0 b
0 b a b 0 c
0 b a c 0 0
0 b a c 0 a
0 b a c 0 b
0 b a c 0 c
0 b b 0 0 0
0 b b 0 0 a
0 b b 0 0 b
0 b b 0 0 c
0 b b a 0 0
0 b b a 0 a
0 b b a 0 b
0 b b a 0 c
0 b b b 0 0
0 b b b 0 a
0 b b b 0 b
0 b b b 0 c
0 b b c 0 0
0 b b c 0 a
0 b b c 0 b
0 b b c 0 c
0 b c 0 0 0
0 b c 0 0 a
0 b c 0 0 b
0 b c 0 0 c
0 b c a 0 0
0 b c a 0 a
0 b c a 0 b
0 b c a 0 c
0 b c b 0 0
0 b c b 0 a
0 b c b 0 b
0 b c b 0 c
0 b c c 0 0
0 b c c 0 a
0 b c c 0 b
0 b c c 0 c
0 c 0 0 0 0
0 c 0 0 0 a
0 c 0 0 0 b
0 c 0 0 0 c
0 c 0 a 0 0
0 c 0 a 0 a
0 c 0 a 0 b
0 c 0 a 0 c
0 c 0 b 0 0
0 c 0 b 0 a
0 c 0 b 0 b
0 c 0 b 0 c
0 c 0 c 0 0
0 c 0 c 0 a
0 c 0 c 0 b
0 c 0 c 0 c
0 c a 0 0 0
0 c a 0 0 a
0 c a 0 0 b
0 c a 0 0 c
0 c a a 0 0
0 c a a 0 a
0 c a a 0 b
0 c a a 0 c
0 c a b 0 0
0 c a b 0 a
0 c a b 0 b
0 c a b 0 c
0 c a c 0 0
0 c a c 0 a
0 c a c 0 b
0 c a c 0 c
0 c b 0 0 0
0 c b 0 0 a
0 c b 0 0 b
0 c b 0 0 c
0 c b a 0 0
0 c b a 0 a
0 c b a 0 b
0 c b a 0 c
0 c b b 0 0
0 c b b 0 a
0 c b b 0 b
0 c b b 0 c
0 c b c 0 0
0 c b c 0 a
0 c b c 0 b
0 c b c 0 c
0 c c 0 0 0
0 c c 0 0 a
0 c c 0 0 b
0 c c 0 0 c
0 c c a 0 0
0 c c a 0 a
0 c c a 0 b
0 c c a 0 c
0 c c b 0 0
0 c c b 0 a
0 c c b 0 b
0 c c b 0 c
0 c c c 0 0
0 c c c 0 a
0 c c c 0 b
0 c c c 0 c
Is it a nice code?: No
Generator Matrix-34
a 0 0 0 a 0
b 0 0 0 b 0
0 c 0 0 0 0
0 0 c 0 0 0
0 0 0 c 0 0
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 0
0 0 0 c c c
0 0 c 0 0 0
0 0 c 0 c c
0 0 c c 0 0
0 0 c c c c
0 c 0 0 0 0
0 c 0 0 c c
0 c 0 c 0 0
0 c 0 c c c
0 c c 0 0 0
0 c c 0 c c
0 c c c 0 0
0 c c c c c
b 0 0 0 b 0
b 0 0 0 a c
b 0 0 c b 0
b 0 0 c a c
b 0 c 0 b 0
b 0 c 0 a c
b 0 c c b 0
b 0 c c a c
b c 0 0 b 0
b c 0 0 a c
b c 0 c b 0
b c 0 c a c
b c c 0 b 0
b c c 0 a c
b c c c b 0
b c c c a c
a 0 0 0 a 0
a 0 0 0 b c
a 0 0 c a 0
a 0 0 c b c
a 0 c 0 a 0
a 0 c 0 b c
a 0 c c a 0
a 0 c c b c
a c 0 0 a 0
a c 0 0 b c
a c 0 c a 0
a c 0 c b c
a c c 0 a 0
a c c 0 b c
a c c c a 0
a c c c b c
c 0 0 0 c 0
c 0 0 0 0 c
c 0 0 c c 0
c 0 0 c 0 c
c 0 c 0 c 0
c 0 c 0 0 c
c 0 c c c 0
c 0 c c 0 c
c c 0 0 c 0
c c 0 0 0 c
c c 0 c c 0
c c 0 c 0 c
c c c 0 c 0
c c c 0 0 c
c c c c c 0
c c c c 0 c
dmin: 1
Weight Enumerator: 1x0 + 3x1 + 8x2 + 18x3 + 21x4 + 11x5 + 2x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)4 (X_b)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)3 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_b)2 (X_c)3 + (X_a)1 (X_b)1 (X_c)4 + (X_0)4 (X_a)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)3 (X_a)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_a)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_a)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)2 (X_c)3 + (X_a)1 (X_b)1 (X_c)4 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 a a 0 0
0 0 a a 0 a
0 0 a a 0 b
0 0 a a 0 c
0 0 a b 0 0
0 0 a b 0 a
0 0 a b 0 b
0 0 a b 0 c
0 0 a c 0 0
0 0 a c 0 a
0 0 a c 0 b
0 0 a c 0 c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 b a 0 0
0 0 b a 0 a
0 0 b a 0 b
0 0 b a 0 c
0 0 b b 0 0
0 0 b b 0 a
0 0 b b 0 b
0 0 b b 0 c
0 0 b c 0 0
0 0 b c 0 a
0 0 b c 0 b
0 0 b c 0 c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c
0 0 c a 0 0
0 0 c a 0 a
0 0 c a 0 b
0 0 c a 0 c
0 0 c b 0 0
0 0 c b 0 a
0 0 c b 0 b
0 0 c b 0 c
0 0 c c 0 0
0 0 c c 0 a
0 0 c c 0 b
0 0 c c 0 c
0 a 0 0 0 0
0 a 0 0 0 a
0 a 0 0 0 b
0 a 0 0 0 c
0 a 0 a 0 0
0 a 0 a 0 a
0 a 0 a 0 b
0 a 0 a 0 c
0 a 0 b 0 0
0 a 0 b 0 a
0 a 0 b 0 b
0 a 0 b 0 c
0 a 0 c 0 0
0 a 0 c 0 a
0 a 0 c 0 b
0 a 0 c 0 c
0 a a 0 0 0
0 a a 0 0 a
0 a a 0 0 b
0 a a 0 0 c
0 a a a 0 0
0 a a a 0 a
0 a a a 0 b
0 a a a 0 c
0 a a b 0 0
0 a a b 0 a
0 a a b 0 b
0 a a b 0 c
0 a a c 0 0
0 a a c 0 a
0 a a c 0 b
0 a a c 0 c
0 a b 0 0 0
0 a b 0 0 a
0 a b 0 0 b
0 a b 0 0 c
0 a b a 0 0
0 a b a 0 a
0 a b a 0 b
0 a b a 0 c
0 a b b 0 0
0 a b b 0 a
0 a b b 0 b
0 a b b 0 c
0 a b c 0 0
0 a b c 0 a
0 a b c 0 b
0 a b c 0 c
0 a c 0 0 0
0 a c 0 0 a
0 a c 0 0 b
0 a c 0 0 c
0 a c a 0 0
0 a c a 0 a
0 a c a 0 b
0 a c a 0 c
0 a c b 0 0
0 a c b 0 a
0 a c b 0 b
0 a c b 0 c
0 a c c 0 0
0 a c c 0 a
0 a c c 0 b
0 a c c 0 c
0 b 0 0 0 0
0 b 0 0 0 a
0 b 0 0 0 b
0 b 0 0 0 c
0 b 0 a 0 0
0 b 0 a 0 a
0 b 0 a 0 b
0 b 0 a 0 c
0 b 0 b 0 0
0 b 0 b 0 a
0 b 0 b 0 b
0 b 0 b 0 c
0 b 0 c 0 0
0 b 0 c 0 a
0 b 0 c 0 b
0 b 0 c 0 c
0 b a 0 0 0
0 b a 0 0 a
0 b a 0 0 b
0 b a 0 0 c
0 b a a 0 0
0 b a a 0 a
0 b a a 0 b
0 b a a 0 c
0 b a b 0 0
0 b a b 0 a
0 b a b 0 b
0 b a b 0 c
0 b a c 0 0
0 b a c 0 a
0 b a c 0 b
0 b a c 0 c
0 b b 0 0 0
0 b b 0 0 a
0 b b 0 0 b
0 b b 0 0 c
0 b b a 0 0
0 b b a 0 a
0 b b a 0 b
0 b b a 0 c
0 b b b 0 0
0 b b b 0 a
0 b b b 0 b
0 b b b 0 c
0 b b c 0 0
0 b b c 0 a
0 b b c 0 b
0 b b c 0 c
0 b c 0 0 0
0 b c 0 0 a
0 b c 0 0 b
0 b c 0 0 c
0 b c a 0 0
0 b c a 0 a
0 b c a 0 b
0 b c a 0 c
0 b c b 0 0
0 b c b 0 a
0 b c b 0 b
0 b c b 0 c
0 b c c 0 0
0 b c c 0 a
0 b c c 0 b
0 b c c 0 c
0 c 0 0 0 0
0 c 0 0 0 a
0 c 0 0 0 b
0 c 0 0 0 c
0 c 0 a 0 0
0 c 0 a 0 a
0 c 0 a 0 b
0 c 0 a 0 c
0 c 0 b 0 0
0 c 0 b 0 a
0 c 0 b 0 b
0 c 0 b 0 c
0 c 0 c 0 0
0 c 0 c 0 a
0 c 0 c 0 b
0 c 0 c 0 c
0 c a 0 0 0
0 c a 0 0 a
0 c a 0 0 b
0 c a 0 0 c
0 c a a 0 0
0 c a a 0 a
0 c a a 0 b
0 c a a 0 c
0 c a b 0 0
0 c a b 0 a
0 c a b 0 b
0 c a b 0 c
0 c a c 0 0
0 c a c 0 a
0 c a c 0 b
0 c a c 0 c
0 c b 0 0 0
0 c b 0 0 a
0 c b 0 0 b
0 c b 0 0 c
0 c b a 0 0
0 c b a 0 a
0 c b a 0 b
0 c b a 0 c
0 c b b 0 0
0 c b b 0 a
0 c b b 0 b
0 c b b 0 c
0 c b c 0 0
0 c b c 0 a
0 c b c 0 b
0 c b c 0 c
0 c c 0 0 0
0 c c 0 0 a
0 c c 0 0 b
0 c c 0 0 c
0 c c a 0 0
0 c c a 0 a
0 c c a 0 b
0 c c a 0 c
0 c c b 0 0
0 c c b 0 a
0 c c b 0 b
0 c c b 0 c
0 c c c 0 0
0 c c c 0 a
0 c c c 0 b
0 c c c 0 c
Is it a nice code?: No
Generator Matrix-35
a 0 0 0 a 0
b 0 0 0 b 0
0 c 0 0 0 0
0 0 c 0 0 0
0 0 0 c 0 c
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 c
0 0 0 c c c
0 0 c 0 0 0
0 0 c 0 c 0
0 0 c c 0 c
0 0 c c c c
0 c 0 0 0 0
0 c 0 0 c 0
0 c 0 c 0 c
0 c 0 c c c
0 c c 0 0 0
0 c c 0 c 0
0 c c c 0 c
0 c c c c c
b 0 0 0 b 0
b 0 0 0 a 0
b 0 0 c b c
b 0 0 c a c
b 0 c 0 b 0
b 0 c 0 a 0
b 0 c c b c
b 0 c c a c
b c 0 0 b 0
b c 0 0 a 0
b c 0 c b c
b c 0 c a c
b c c 0 b 0
b c c 0 a 0
b c c c b c
b c c c a c
a 0 0 0 a 0
a 0 0 0 b 0
a 0 0 c a c
a 0 0 c b c
a 0 c 0 a 0
a 0 c 0 b 0
a 0 c c a c
a 0 c c b c
a c 0 0 a 0
a c 0 0 b 0
a c 0 c a c
a c 0 c b c
a c c 0 a 0
a c c 0 b 0
a c c c a c
a c c c b c
c 0 0 0 c 0
c 0 0 0 0 0
c 0 0 c c c
c 0 0 c 0 c
c 0 c 0 c 0
c 0 c 0 0 0
c 0 c c c c
c 0 c c 0 c
c c 0 0 c 0
c c 0 0 0 0
c c 0 c c c
c c 0 c 0 c
c c c 0 c 0
c c c 0 0 0
c c c c c c
c c c c 0 c
dmin: 1
Weight Enumerator: 1x0 + 4x1 + 11x2 + 16x3 + 15x4 + 12x5 + 5x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)4 (X_b)2 + (X_0)4 (X_a)1 (X_b)1 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_b)2 (X_c)1 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_b)2 (X_c)1 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_b)2 (X_c)4 + (X_a)1 (X_b)1 (X_c)4 + (X_0)4 (X_a)2 + (X_0)4 (X_a)1 (X_b)1 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_a)2 (X_c)1 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_a)2 (X_c)1 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_a)2 (X_c)4 + (X_a)1 (X_b)1 (X_c)4 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_c)6 + (X_0)1 (X_c)5
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 a a 0 0
0 0 a a 0 a
0 0 a a 0 b
0 0 a a 0 c
0 0 a b 0 0
0 0 a b 0 a
0 0 a b 0 b
0 0 a b 0 c
0 0 a c 0 0
0 0 a c 0 a
0 0 a c 0 b
0 0 a c 0 c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 b a 0 0
0 0 b a 0 a
0 0 b a 0 b
0 0 b a 0 c
0 0 b b 0 0
0 0 b b 0 a
0 0 b b 0 b
0 0 b b 0 c
0 0 b c 0 0
0 0 b c 0 a
0 0 b c 0 b
0 0 b c 0 c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c
0 0 c a 0 0
0 0 c a 0 a
0 0 c a 0 b
0 0 c a 0 c
0 0 c b 0 0
0 0 c b 0 a
0 0 c b 0 b
0 0 c b 0 c
0 0 c c 0 0
0 0 c c 0 a
0 0 c c 0 b
0 0 c c 0 c
0 a 0 0 0 0
0 a 0 0 0 a
0 a 0 0 0 b
0 a 0 0 0 c
0 a 0 a 0 0
0 a 0 a 0 a
0 a 0 a 0 b
0 a 0 a 0 c
0 a 0 b 0 0
0 a 0 b 0 a
0 a 0 b 0 b
0 a 0 b 0 c
0 a 0 c 0 0
0 a 0 c 0 a
0 a 0 c 0 b
0 a 0 c 0 c
0 a a 0 0 0
0 a a 0 0 a
0 a a 0 0 b
0 a a 0 0 c
0 a a a 0 0
0 a a a 0 a
0 a a a 0 b
0 a a a 0 c
0 a a b 0 0
0 a a b 0 a
0 a a b 0 b
0 a a b 0 c
0 a a c 0 0
0 a a c 0 a
0 a a c 0 b
0 a a c 0 c
0 a b 0 0 0
0 a b 0 0 a
0 a b 0 0 b
0 a b 0 0 c
0 a b a 0 0
0 a b a 0 a
0 a b a 0 b
0 a b a 0 c
0 a b b 0 0
0 a b b 0 a
0 a b b 0 b
0 a b b 0 c
0 a b c 0 0
0 a b c 0 a
0 a b c 0 b
0 a b c 0 c
0 a c 0 0 0
0 a c 0 0 a
0 a c 0 0 b
0 a c 0 0 c
0 a c a 0 0
0 a c a 0 a
0 a c a 0 b
0 a c a 0 c
0 a c b 0 0
0 a c b 0 a
0 a c b 0 b
0 a c b 0 c
0 a c c 0 0
0 a c c 0 a
0 a c c 0 b
0 a c c 0 c
0 b 0 0 0 0
0 b 0 0 0 a
0 b 0 0 0 b
0 b 0 0 0 c
0 b 0 a 0 0
0 b 0 a 0 a
0 b 0 a 0 b
0 b 0 a 0 c
0 b 0 b 0 0
0 b 0 b 0 a
0 b 0 b 0 b
0 b 0 b 0 c
0 b 0 c 0 0
0 b 0 c 0 a
0 b 0 c 0 b
0 b 0 c 0 c
0 b a 0 0 0
0 b a 0 0 a
0 b a 0 0 b
0 b a 0 0 c
0 b a a 0 0
0 b a a 0 a
0 b a a 0 b
0 b a a 0 c
0 b a b 0 0
0 b a b 0 a
0 b a b 0 b
0 b a b 0 c
0 b a c 0 0
0 b a c 0 a
0 b a c 0 b
0 b a c 0 c
0 b b 0 0 0
0 b b 0 0 a
0 b b 0 0 b
0 b b 0 0 c
0 b b a 0 0
0 b b a 0 a
0 b b a 0 b
0 b b a 0 c
0 b b b 0 0
0 b b b 0 a
0 b b b 0 b
0 b b b 0 c
0 b b c 0 0
0 b b c 0 a
0 b b c 0 b
0 b b c 0 c
0 b c 0 0 0
0 b c 0 0 a
0 b c 0 0 b
0 b c 0 0 c
0 b c a 0 0
0 b c a 0 a
0 b c a 0 b
0 b c a 0 c
0 b c b 0 0
0 b c b 0 a
0 b c b 0 b
0 b c b 0 c
0 b c c 0 0
0 b c c 0 a
0 b c c 0 b
0 b c c 0 c
0 c 0 0 0 0
0 c 0 0 0 a
0 c 0 0 0 b
0 c 0 0 0 c
0 c 0 a 0 0
0 c 0 a 0 a
0 c 0 a 0 b
0 c 0 a 0 c
0 c 0 b 0 0
0 c 0 b 0 a
0 c 0 b 0 b
0 c 0 b 0 c
0 c 0 c 0 0
0 c 0 c 0 a
0 c 0 c 0 b
0 c 0 c 0 c
0 c a 0 0 0
0 c a 0 0 a
0 c a 0 0 b
0 c a 0 0 c
0 c a a 0 0
0 c a a 0 a
0 c a a 0 b
0 c a a 0 c
0 c a b 0 0
0 c a b 0 a
0 c a b 0 b
0 c a b 0 c
0 c a c 0 0
0 c a c 0 a
0 c a c 0 b
0 c a c 0 c
0 c b 0 0 0
0 c b 0 0 a
0 c b 0 0 b
0 c b 0 0 c
0 c b a 0 0
0 c b a 0 a
0 c b a 0 b
0 c b a 0 c
0 c b b 0 0
0 c b b 0 a
0 c b b 0 b
0 c b b 0 c
0 c b c 0 0
0 c b c 0 a
0 c b c 0 b
0 c b c 0 c
0 c c 0 0 0
0 c c 0 0 a
0 c c 0 0 b
0 c c 0 0 c
0 c c a 0 0
0 c c a 0 a
0 c c a 0 b
0 c c a 0 c
0 c c b 0 0
0 c c b 0 a
0 c c b 0 b
0 c c b 0 c
0 c c c 0 0
0 c c c 0 a
0 c c c 0 b
0 c c c 0 c
Is it a nice code?: No
Generator Matrix-36
a 0 0 0 a 0
b 0 0 0 b 0
0 c 0 0 0 0
0 0 c 0 0 0
0 0 0 c 0 c
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 c
0 0 0 c c 0
0 0 c 0 0 0
0 0 c 0 c c
0 0 c c 0 c
0 0 c c c 0
0 c 0 0 0 0
0 c 0 0 c c
0 c 0 c 0 c
0 c 0 c c 0
0 c c 0 0 0
0 c c 0 c c
0 c c c 0 c
0 c c c c 0
b 0 0 0 b 0
b 0 0 0 a c
b 0 0 c b c
b 0 0 c a 0
b 0 c 0 b 0
b 0 c 0 a c
b 0 c c b c
b 0 c c a 0
b c 0 0 b 0
b c 0 0 a c
b c 0 c b c
b c 0 c a 0
b c c 0 b 0
b c c 0 a c
b c c c b c
b c c c a 0
a 0 0 0 a 0
a 0 0 0 b c
a 0 0 c a c
a 0 0 c b 0
a 0 c 0 a 0
a 0 c 0 b c
a 0 c c a c
a 0 c c b 0
a c 0 0 a 0
a c 0 0 b c
a c 0 c a c
a c 0 c b 0
a c c 0 a 0
a c c 0 b c
a c c c a c
a c c c b 0
c 0 0 0 c 0
c 0 0 0 0 c
c 0 0 c c c
c 0 0 c 0 0
c 0 c 0 c 0
c 0 c 0 0 c
c 0 c c c c
c 0 c c 0 0
c c 0 0 c 0
c c 0 0 0 c
c c 0 c c c
c c 0 c 0 0
c c c 0 c 0
c c c 0 0 c
c c c c c c
c c c c 0 0
dmin: 1
Weight Enumerator: 1x0 + 2x1 + 9x2 + 20x3 + 19x4 + 10x5 + 3x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)4 (X_b)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_b)2 (X_c)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)3 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_b)2 (X_c)4 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_a)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_c)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)3 (X_a)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_a)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_a)2 (X_c)4 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_c)6 + (X_0)2 (X_c)4
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 a a 0 0
0 0 a a 0 a
0 0 a a 0 b
0 0 a a 0 c
0 0 a b 0 0
0 0 a b 0 a
0 0 a b 0 b
0 0 a b 0 c
0 0 a c 0 0
0 0 a c 0 a
0 0 a c 0 b
0 0 a c 0 c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 b a 0 0
0 0 b a 0 a
0 0 b a 0 b
0 0 b a 0 c
0 0 b b 0 0
0 0 b b 0 a
0 0 b b 0 b
0 0 b b 0 c
0 0 b c 0 0
0 0 b c 0 a
0 0 b c 0 b
0 0 b c 0 c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c
0 0 c a 0 0
0 0 c a 0 a
0 0 c a 0 b
0 0 c a 0 c
0 0 c b 0 0
0 0 c b 0 a
0 0 c b 0 b
0 0 c b 0 c
0 0 c c 0 0
0 0 c c 0 a
0 0 c c 0 b
0 0 c c 0 c
0 a 0 0 0 0
0 a 0 0 0 a
0 a 0 0 0 b
0 a 0 0 0 c
0 a 0 a 0 0
0 a 0 a 0 a
0 a 0 a 0 b
0 a 0 a 0 c
0 a 0 b 0 0
0 a 0 b 0 a
0 a 0 b 0 b
0 a 0 b 0 c
0 a 0 c 0 0
0 a 0 c 0 a
0 a 0 c 0 b
0 a 0 c 0 c
0 a a 0 0 0
0 a a 0 0 a
0 a a 0 0 b
0 a a 0 0 c
0 a a a 0 0
0 a a a 0 a
0 a a a 0 b
0 a a a 0 c
0 a a b 0 0
0 a a b 0 a
0 a a b 0 b
0 a a b 0 c
0 a a c 0 0
0 a a c 0 a
0 a a c 0 b
0 a a c 0 c
0 a b 0 0 0
0 a b 0 0 a
0 a b 0 0 b
0 a b 0 0 c
0 a b a 0 0
0 a b a 0 a
0 a b a 0 b
0 a b a 0 c
0 a b b 0 0
0 a b b 0 a
0 a b b 0 b
0 a b b 0 c
0 a b c 0 0
0 a b c 0 a
0 a b c 0 b
0 a b c 0 c
0 a c 0 0 0
0 a c 0 0 a
0 a c 0 0 b
0 a c 0 0 c
0 a c a 0 0
0 a c a 0 a
0 a c a 0 b
0 a c a 0 c
0 a c b 0 0
0 a c b 0 a
0 a c b 0 b
0 a c b 0 c
0 a c c 0 0
0 a c c 0 a
0 a c c 0 b
0 a c c 0 c
0 b 0 0 0 0
0 b 0 0 0 a
0 b 0 0 0 b
0 b 0 0 0 c
0 b 0 a 0 0
0 b 0 a 0 a
0 b 0 a 0 b
0 b 0 a 0 c
0 b 0 b 0 0
0 b 0 b 0 a
0 b 0 b 0 b
0 b 0 b 0 c
0 b 0 c 0 0
0 b 0 c 0 a
0 b 0 c 0 b
0 b 0 c 0 c
0 b a 0 0 0
0 b a 0 0 a
0 b a 0 0 b
0 b a 0 0 c
0 b a a 0 0
0 b a a 0 a
0 b a a 0 b
0 b a a 0 c
0 b a b 0 0
0 b a b 0 a
0 b a b 0 b
0 b a b 0 c
0 b a c 0 0
0 b a c 0 a
0 b a c 0 b
0 b a c 0 c
0 b b 0 0 0
0 b b 0 0 a
0 b b 0 0 b
0 b b 0 0 c
0 b b a 0 0
0 b b a 0 a
0 b b a 0 b
0 b b a 0 c
0 b b b 0 0
0 b b b 0 a
0 b b b 0 b
0 b b b 0 c
0 b b c 0 0
0 b b c 0 a
0 b b c 0 b
0 b b c 0 c
0 b c 0 0 0
0 b c 0 0 a
0 b c 0 0 b
0 b c 0 0 c
0 b c a 0 0
0 b c a 0 a
0 b c a 0 b
0 b c a 0 c
0 b c b 0 0
0 b c b 0 a
0 b c b 0 b
0 b c b 0 c
0 b c c 0 0
0 b c c 0 a
0 b c c 0 b
0 b c c 0 c
0 c 0 0 0 0
0 c 0 0 0 a
0 c 0 0 0 b
0 c 0 0 0 c
0 c 0 a 0 0
0 c 0 a 0 a
0 c 0 a 0 b
0 c 0 a 0 c
0 c 0 b 0 0
0 c 0 b 0 a
0 c 0 b 0 b
0 c 0 b 0 c
0 c 0 c 0 0
0 c 0 c 0 a
0 c 0 c 0 b
0 c 0 c 0 c
0 c a 0 0 0
0 c a 0 0 a
0 c a 0 0 b
0 c a 0 0 c
0 c a a 0 0
0 c a a 0 a
0 c a a 0 b
0 c a a 0 c
0 c a b 0 0
0 c a b 0 a
0 c a b 0 b
0 c a b 0 c
0 c a c 0 0
0 c a c 0 a
0 c a c 0 b
0 c a c 0 c
0 c b 0 0 0
0 c b 0 0 a
0 c b 0 0 b
0 c b 0 0 c
0 c b a 0 0
0 c b a 0 a
0 c b a 0 b
0 c b a 0 c
0 c b b 0 0
0 c b b 0 a
0 c b b 0 b
0 c b b 0 c
0 c b c 0 0
0 c b c 0 a
0 c b c 0 b
0 c b c 0 c
0 c c 0 0 0
0 c c 0 0 a
0 c c 0 0 b
0 c c 0 0 c
0 c c a 0 0
0 c c a 0 a
0 c c a 0 b
0 c c a 0 c
0 c c b 0 0
0 c c b 0 a
0 c c b 0 b
0 c c b 0 c
0 c c c 0 0
0 c c c 0 a
0 c c c 0 b
0 c c c 0 c
Is it a nice code?: No
Generator Matrix-37
a 0 0 0 a 0
b 0 0 0 b 0
0 c 0 0 0 0
0 0 c 0 0 c
0 0 0 c 0 0
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 0
0 0 0 c c 0
0 0 c 0 0 c
0 0 c 0 c c
0 0 c c 0 c
0 0 c c c c
0 c 0 0 0 0
0 c 0 0 c 0
0 c 0 c 0 0
0 c 0 c c 0
0 c c 0 0 c
0 c c 0 c c
0 c c c 0 c
0 c c c c c
b 0 0 0 b 0
b 0 0 0 a 0
b 0 0 c b 0
b 0 0 c a 0
b 0 c 0 b c
b 0 c 0 a c
b 0 c c b c
b 0 c c a c
b c 0 0 b 0
b c 0 0 a 0
b c 0 c b 0
b c 0 c a 0
b c c 0 b c
b c c 0 a c
b c c c b c
b c c c a c
a 0 0 0 a 0
a 0 0 0 b 0
a 0 0 c a 0
a 0 0 c b 0
a 0 c 0 a c
a 0 c 0 b c
a 0 c c a c
a 0 c c b c
a c 0 0 a 0
a c 0 0 b 0
a c 0 c a 0
a c 0 c b 0
a c c 0 a c
a c c 0 b c
a c c c a c
a c c c b c
c 0 0 0 c 0
c 0 0 0 0 0
c 0 0 c c 0
c 0 0 c 0 0
c 0 c 0 c c
c 0 c 0 0 c
c 0 c c c c
c 0 c c 0 c
c c 0 0 c 0
c c 0 0 0 0
c c 0 c c 0
c c 0 c 0 0
c c c 0 c c
c c c 0 0 c
c c c c c c
c c c c 0 c
dmin: 1
Weight Enumerator: 1x0 + 4x1 + 11x2 + 16x3 + 15x4 + 12x5 + 5x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)4 (X_b)2 + (X_0)4 (X_a)1 (X_b)1 + (X_0)3 (X_b)2 (X_c)1 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_b)2 (X_c)1 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_b)2 (X_c)4 + (X_a)1 (X_b)1 (X_c)4 + (X_0)4 (X_a)2 + (X_0)4 (X_a)1 (X_b)1 + (X_0)3 (X_a)2 (X_c)1 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_a)2 (X_c)1 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_a)2 (X_c)4 + (X_a)1 (X_b)1 (X_c)4 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_c)6 + (X_0)1 (X_c)5
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 a a 0 0
0 0 a a 0 a
0 0 a a 0 b
0 0 a a 0 c
0 0 a b 0 0
0 0 a b 0 a
0 0 a b 0 b
0 0 a b 0 c
0 0 a c 0 0
0 0 a c 0 a
0 0 a c 0 b
0 0 a c 0 c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 b a 0 0
0 0 b a 0 a
0 0 b a 0 b
0 0 b a 0 c
0 0 b b 0 0
0 0 b b 0 a
0 0 b b 0 b
0 0 b b 0 c
0 0 b c 0 0
0 0 b c 0 a
0 0 b c 0 b
0 0 b c 0 c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c
0 0 c a 0 0
0 0 c a 0 a
0 0 c a 0 b
0 0 c a 0 c
0 0 c b 0 0
0 0 c b 0 a
0 0 c b 0 b
0 0 c b 0 c
0 0 c c 0 0
0 0 c c 0 a
0 0 c c 0 b
0 0 c c 0 c
0 a 0 0 0 0
0 a 0 0 0 a
0 a 0 0 0 b
0 a 0 0 0 c
0 a 0 a 0 0
0 a 0 a 0 a
0 a 0 a 0 b
0 a 0 a 0 c
0 a 0 b 0 0
0 a 0 b 0 a
0 a 0 b 0 b
0 a 0 b 0 c
0 a 0 c 0 0
0 a 0 c 0 a
0 a 0 c 0 b
0 a 0 c 0 c
0 a a 0 0 0
0 a a 0 0 a
0 a a 0 0 b
0 a a 0 0 c
0 a a a 0 0
0 a a a 0 a
0 a a a 0 b
0 a a a 0 c
0 a a b 0 0
0 a a b 0 a
0 a a b 0 b
0 a a b 0 c
0 a a c 0 0
0 a a c 0 a
0 a a c 0 b
0 a a c 0 c
0 a b 0 0 0
0 a b 0 0 a
0 a b 0 0 b
0 a b 0 0 c
0 a b a 0 0
0 a b a 0 a
0 a b a 0 b
0 a b a 0 c
0 a b b 0 0
0 a b b 0 a
0 a b b 0 b
0 a b b 0 c
0 a b c 0 0
0 a b c 0 a
0 a b c 0 b
0 a b c 0 c
0 a c 0 0 0
0 a c 0 0 a
0 a c 0 0 b
0 a c 0 0 c
0 a c a 0 0
0 a c a 0 a
0 a c a 0 b
0 a c a 0 c
0 a c b 0 0
0 a c b 0 a
0 a c b 0 b
0 a c b 0 c
0 a c c 0 0
0 a c c 0 a
0 a c c 0 b
0 a c c 0 c
0 b 0 0 0 0
0 b 0 0 0 a
0 b 0 0 0 b
0 b 0 0 0 c
0 b 0 a 0 0
0 b 0 a 0 a
0 b 0 a 0 b
0 b 0 a 0 c
0 b 0 b 0 0
0 b 0 b 0 a
0 b 0 b 0 b
0 b 0 b 0 c
0 b 0 c 0 0
0 b 0 c 0 a
0 b 0 c 0 b
0 b 0 c 0 c
0 b a 0 0 0
0 b a 0 0 a
0 b a 0 0 b
0 b a 0 0 c
0 b a a 0 0
0 b a a 0 a
0 b a a 0 b
0 b a a 0 c
0 b a b 0 0
0 b a b 0 a
0 b a b 0 b
0 b a b 0 c
0 b a c 0 0
0 b a c 0 a
0 b a c 0 b
0 b a c 0 c
0 b b 0 0 0
0 b b 0 0 a
0 b b 0 0 b
0 b b 0 0 c
0 b b a 0 0
0 b b a 0 a
0 b b a 0 b
0 b b a 0 c
0 b b b 0 0
0 b b b 0 a
0 b b b 0 b
0 b b b 0 c
0 b b c 0 0
0 b b c 0 a
0 b b c 0 b
0 b b c 0 c
0 b c 0 0 0
0 b c 0 0 a
0 b c 0 0 b
0 b c 0 0 c
0 b c a 0 0
0 b c a 0 a
0 b c a 0 b
0 b c a 0 c
0 b c b 0 0
0 b c b 0 a
0 b c b 0 b
0 b c b 0 c
0 b c c 0 0
0 b c c 0 a
0 b c c 0 b
0 b c c 0 c
0 c 0 0 0 0
0 c 0 0 0 a
0 c 0 0 0 b
0 c 0 0 0 c
0 c 0 a 0 0
0 c 0 a 0 a
0 c 0 a 0 b
0 c 0 a 0 c
0 c 0 b 0 0
0 c 0 b 0 a
0 c 0 b 0 b
0 c 0 b 0 c
0 c 0 c 0 0
0 c 0 c 0 a
0 c 0 c 0 b
0 c 0 c 0 c
0 c a 0 0 0
0 c a 0 0 a
0 c a 0 0 b
0 c a 0 0 c
0 c a a 0 0
0 c a a 0 a
0 c a a 0 b
0 c a a 0 c
0 c a b 0 0
0 c a b 0 a
0 c a b 0 b
0 c a b 0 c
0 c a c 0 0
0 c a c 0 a
0 c a c 0 b
0 c a c 0 c
0 c b 0 0 0
0 c b 0 0 a
0 c b 0 0 b
0 c b 0 0 c
0 c b a 0 0
0 c b a 0 a
0 c b a 0 b
0 c b a 0 c
0 c b b 0 0
0 c b b 0 a
0 c b b 0 b
0 c b b 0 c
0 c b c 0 0
0 c b c 0 a
0 c b c 0 b
0 c b c 0 c
0 c c 0 0 0
0 c c 0 0 a
0 c c 0 0 b
0 c c 0 0 c
0 c c a 0 0
0 c c a 0 a
0 c c a 0 b
0 c c a 0 c
0 c c b 0 0
0 c c b 0 a
0 c c b 0 b
0 c c b 0 c
0 c c c 0 0
0 c c c 0 a
0 c c c 0 b
0 c c c 0 c
Is it a nice code?: No
Generator Matrix-38
a 0 0 0 a 0
b 0 0 0 b 0
0 c 0 0 0 0
0 0 c 0 0 c
0 0 0 c 0 0
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 0
0 0 0 c c c
0 0 c 0 0 c
0 0 c 0 c 0
0 0 c c 0 c
0 0 c c c 0
0 c 0 0 0 0
0 c 0 0 c c
0 c 0 c 0 0
0 c 0 c c c
0 c c 0 0 c
0 c c 0 c 0
0 c c c 0 c
0 c c c c 0
b 0 0 0 b 0
b 0 0 0 a c
b 0 0 c b 0
b 0 0 c a c
b 0 c 0 b c
b 0 c 0 a 0
b 0 c c b c
b 0 c c a 0
b c 0 0 b 0
b c 0 0 a c
b c 0 c b 0
b c 0 c a c
b c c 0 b c
b c c 0 a 0
b c c c b c
b c c c a 0
a 0 0 0 a 0
a 0 0 0 b c
a 0 0 c a 0
a 0 0 c b c
a 0 c 0 a c
a 0 c 0 b 0
a 0 c c a c
a 0 c c b 0
a c 0 0 a 0
a c 0 0 b c
a c 0 c a 0
a c 0 c b c
a c c 0 a c
a c c 0 b 0
a c c c a c
a c c c b 0
c 0 0 0 c 0
c 0 0 0 0 c
c 0 0 c c 0
c 0 0 c 0 c
c 0 c 0 c c
c 0 c 0 0 0
c 0 c c c c
c 0 c c 0 0
c c 0 0 c 0
c c 0 0 0 c
c c 0 c c 0
c c 0 c 0 c
c c c 0 c c
c c c 0 0 0
c c c c c c
c c c c 0 0
dmin: 1
Weight Enumerator: 1x0 + 2x1 + 9x2 + 20x3 + 19x4 + 10x5 + 3x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)4 (X_b)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)3 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_b)2 (X_c)4 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_a)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)3 (X_a)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_a)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_a)2 (X_c)4 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_c)6 + (X_0)2 (X_c)4
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 a a 0 0
0 0 a a 0 a
0 0 a a 0 b
0 0 a a 0 c
0 0 a b 0 0
0 0 a b 0 a
0 0 a b 0 b
0 0 a b 0 c
0 0 a c 0 0
0 0 a c 0 a
0 0 a c 0 b
0 0 a c 0 c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 b a 0 0
0 0 b a 0 a
0 0 b a 0 b
0 0 b a 0 c
0 0 b b 0 0
0 0 b b 0 a
0 0 b b 0 b
0 0 b b 0 c
0 0 b c 0 0
0 0 b c 0 a
0 0 b c 0 b
0 0 b c 0 c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c
0 0 c a 0 0
0 0 c a 0 a
0 0 c a 0 b
0 0 c a 0 c
0 0 c b 0 0
0 0 c b 0 a
0 0 c b 0 b
0 0 c b 0 c
0 0 c c 0 0
0 0 c c 0 a
0 0 c c 0 b
0 0 c c 0 c
0 a 0 0 0 0
0 a 0 0 0 a
0 a 0 0 0 b
0 a 0 0 0 c
0 a 0 a 0 0
0 a 0 a 0 a
0 a 0 a 0 b
0 a 0 a 0 c
0 a 0 b 0 0
0 a 0 b 0 a
0 a 0 b 0 b
0 a 0 b 0 c
0 a 0 c 0 0
0 a 0 c 0 a
0 a 0 c 0 b
0 a 0 c 0 c
0 a a 0 0 0
0 a a 0 0 a
0 a a 0 0 b
0 a a 0 0 c
0 a a a 0 0
0 a a a 0 a
0 a a a 0 b
0 a a a 0 c
0 a a b 0 0
0 a a b 0 a
0 a a b 0 b
0 a a b 0 c
0 a a c 0 0
0 a a c 0 a
0 a a c 0 b
0 a a c 0 c
0 a b 0 0 0
0 a b 0 0 a
0 a b 0 0 b
0 a b 0 0 c
0 a b a 0 0
0 a b a 0 a
0 a b a 0 b
0 a b a 0 c
0 a b b 0 0
0 a b b 0 a
0 a b b 0 b
0 a b b 0 c
0 a b c 0 0
0 a b c 0 a
0 a b c 0 b
0 a b c 0 c
0 a c 0 0 0
0 a c 0 0 a
0 a c 0 0 b
0 a c 0 0 c
0 a c a 0 0
0 a c a 0 a
0 a c a 0 b
0 a c a 0 c
0 a c b 0 0
0 a c b 0 a
0 a c b 0 b
0 a c b 0 c
0 a c c 0 0
0 a c c 0 a
0 a c c 0 b
0 a c c 0 c
0 b 0 0 0 0
0 b 0 0 0 a
0 b 0 0 0 b
0 b 0 0 0 c
0 b 0 a 0 0
0 b 0 a 0 a
0 b 0 a 0 b
0 b 0 a 0 c
0 b 0 b 0 0
0 b 0 b 0 a
0 b 0 b 0 b
0 b 0 b 0 c
0 b 0 c 0 0
0 b 0 c 0 a
0 b 0 c 0 b
0 b 0 c 0 c
0 b a 0 0 0
0 b a 0 0 a
0 b a 0 0 b
0 b a 0 0 c
0 b a a 0 0
0 b a a 0 a
0 b a a 0 b
0 b a a 0 c
0 b a b 0 0
0 b a b 0 a
0 b a b 0 b
0 b a b 0 c
0 b a c 0 0
0 b a c 0 a
0 b a c 0 b
0 b a c 0 c
0 b b 0 0 0
0 b b 0 0 a
0 b b 0 0 b
0 b b 0 0 c
0 b b a 0 0
0 b b a 0 a
0 b b a 0 b
0 b b a 0 c
0 b b b 0 0
0 b b b 0 a
0 b b b 0 b
0 b b b 0 c
0 b b c 0 0
0 b b c 0 a
0 b b c 0 b
0 b b c 0 c
0 b c 0 0 0
0 b c 0 0 a
0 b c 0 0 b
0 b c 0 0 c
0 b c a 0 0
0 b c a 0 a
0 b c a 0 b
0 b c a 0 c
0 b c b 0 0
0 b c b 0 a
0 b c b 0 b
0 b c b 0 c
0 b c c 0 0
0 b c c 0 a
0 b c c 0 b
0 b c c 0 c
0 c 0 0 0 0
0 c 0 0 0 a
0 c 0 0 0 b
0 c 0 0 0 c
0 c 0 a 0 0
0 c 0 a 0 a
0 c 0 a 0 b
0 c 0 a 0 c
0 c 0 b 0 0
0 c 0 b 0 a
0 c 0 b 0 b
0 c 0 b 0 c
0 c 0 c 0 0
0 c 0 c 0 a
0 c 0 c 0 b
0 c 0 c 0 c
0 c a 0 0 0
0 c a 0 0 a
0 c a 0 0 b
0 c a 0 0 c
0 c a a 0 0
0 c a a 0 a
0 c a a 0 b
0 c a a 0 c
0 c a b 0 0
0 c a b 0 a
0 c a b 0 b
0 c a b 0 c
0 c a c 0 0
0 c a c 0 a
0 c a c 0 b
0 c a c 0 c
0 c b 0 0 0
0 c b 0 0 a
0 c b 0 0 b
0 c b 0 0 c
0 c b a 0 0
0 c b a 0 a
0 c b a 0 b
0 c b a 0 c
0 c b b 0 0
0 c b b 0 a
0 c b b 0 b
0 c b b 0 c
0 c b c 0 0
0 c b c 0 a
0 c b c 0 b
0 c b c 0 c
0 c c 0 0 0
0 c c 0 0 a
0 c c 0 0 b
0 c c 0 0 c
0 c c a 0 0
0 c c a 0 a
0 c c a 0 b
0 c c a 0 c
0 c c b 0 0
0 c c b 0 a
0 c c b 0 b
0 c c b 0 c
0 c c c 0 0
0 c c c 0 a
0 c c c 0 b
0 c c c 0 c
Is it a nice code?: No
Generator Matrix-39
a 0 0 0 a 0
b 0 0 0 b 0
0 c 0 0 0 0
0 0 c 0 0 c
0 0 0 c 0 c
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 c
0 0 0 c c c
0 0 c 0 0 c
0 0 c 0 c c
0 0 c c 0 0
0 0 c c c 0
0 c 0 0 0 0
0 c 0 0 c 0
0 c 0 c 0 c
0 c 0 c c c
0 c c 0 0 c
0 c c 0 c c
0 c c c 0 0
0 c c c c 0
b 0 0 0 b 0
b 0 0 0 a 0
b 0 0 c b c
b 0 0 c a c
b 0 c 0 b c
b 0 c 0 a c
b 0 c c b 0
b 0 c c a 0
b c 0 0 b 0
b c 0 0 a 0
b c 0 c b c
b c 0 c a c
b c c 0 b c
b c c 0 a c
b c c c b 0
b c c c a 0
a 0 0 0 a 0
a 0 0 0 b 0
a 0 0 c a c
a 0 0 c b c
a 0 c 0 a c
a 0 c 0 b c
a 0 c c a 0
a 0 c c b 0
a c 0 0 a 0
a c 0 0 b 0
a c 0 c a c
a c 0 c b c
a c c 0 a c
a c c 0 b c
a c c c a 0
a c c c b 0
c 0 0 0 c 0
c 0 0 0 0 0
c 0 0 c c c
c 0 0 c 0 c
c 0 c 0 c c
c 0 c 0 0 c
c 0 c c c 0
c 0 c c 0 0
c c 0 0 c 0
c c 0 0 0 0
c c 0 c c c
c c 0 c 0 c
c c c 0 c c
c c c 0 0 c
c c c c c 0
c c c c 0 0
dmin: 1
Weight Enumerator: 1x0 + 3x1 + 10x2 + 14x3 + 21x4 + 15x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_b)2 + (X_0)4 (X_a)1 (X_b)1 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_b)2 (X_c)1 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_a)2 + (X_0)4 (X_a)1 (X_b)1 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_a)2 (X_c)1 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)2 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)2 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 a a 0 0
0 0 a a 0 a
0 0 a a 0 b
0 0 a a 0 c
0 0 a b 0 0
0 0 a b 0 a
0 0 a b 0 b
0 0 a b 0 c
0 0 a c 0 0
0 0 a c 0 a
0 0 a c 0 b
0 0 a c 0 c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 b a 0 0
0 0 b a 0 a
0 0 b a 0 b
0 0 b a 0 c
0 0 b b 0 0
0 0 b b 0 a
0 0 b b 0 b
0 0 b b 0 c
0 0 b c 0 0
0 0 b c 0 a
0 0 b c 0 b
0 0 b c 0 c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c
0 0 c a 0 0
0 0 c a 0 a
0 0 c a 0 b
0 0 c a 0 c
0 0 c b 0 0
0 0 c b 0 a
0 0 c b 0 b
0 0 c b 0 c
0 0 c c 0 0
0 0 c c 0 a
0 0 c c 0 b
0 0 c c 0 c
0 a 0 0 0 0
0 a 0 0 0 a
0 a 0 0 0 b
0 a 0 0 0 c
0 a 0 a 0 0
0 a 0 a 0 a
0 a 0 a 0 b
0 a 0 a 0 c
0 a 0 b 0 0
0 a 0 b 0 a
0 a 0 b 0 b
0 a 0 b 0 c
0 a 0 c 0 0
0 a 0 c 0 a
0 a 0 c 0 b
0 a 0 c 0 c
0 a a 0 0 0
0 a a 0 0 a
0 a a 0 0 b
0 a a 0 0 c
0 a a a 0 0
0 a a a 0 a
0 a a a 0 b
0 a a a 0 c
0 a a b 0 0
0 a a b 0 a
0 a a b 0 b
0 a a b 0 c
0 a a c 0 0
0 a a c 0 a
0 a a c 0 b
0 a a c 0 c
0 a b 0 0 0
0 a b 0 0 a
0 a b 0 0 b
0 a b 0 0 c
0 a b a 0 0
0 a b a 0 a
0 a b a 0 b
0 a b a 0 c
0 a b b 0 0
0 a b b 0 a
0 a b b 0 b
0 a b b 0 c
0 a b c 0 0
0 a b c 0 a
0 a b c 0 b
0 a b c 0 c
0 a c 0 0 0
0 a c 0 0 a
0 a c 0 0 b
0 a c 0 0 c
0 a c a 0 0
0 a c a 0 a
0 a c a 0 b
0 a c a 0 c
0 a c b 0 0
0 a c b 0 a
0 a c b 0 b
0 a c b 0 c
0 a c c 0 0
0 a c c 0 a
0 a c c 0 b
0 a c c 0 c
0 b 0 0 0 0
0 b 0 0 0 a
0 b 0 0 0 b
0 b 0 0 0 c
0 b 0 a 0 0
0 b 0 a 0 a
0 b 0 a 0 b
0 b 0 a 0 c
0 b 0 b 0 0
0 b 0 b 0 a
0 b 0 b 0 b
0 b 0 b 0 c
0 b 0 c 0 0
0 b 0 c 0 a
0 b 0 c 0 b
0 b 0 c 0 c
0 b a 0 0 0
0 b a 0 0 a
0 b a 0 0 b
0 b a 0 0 c
0 b a a 0 0
0 b a a 0 a
0 b a a 0 b
0 b a a 0 c
0 b a b 0 0
0 b a b 0 a
0 b a b 0 b
0 b a b 0 c
0 b a c 0 0
0 b a c 0 a
0 b a c 0 b
0 b a c 0 c
0 b b 0 0 0
0 b b 0 0 a
0 b b 0 0 b
0 b b 0 0 c
0 b b a 0 0
0 b b a 0 a
0 b b a 0 b
0 b b a 0 c
0 b b b 0 0
0 b b b 0 a
0 b b b 0 b
0 b b b 0 c
0 b b c 0 0
0 b b c 0 a
0 b b c 0 b
0 b b c 0 c
0 b c 0 0 0
0 b c 0 0 a
0 b c 0 0 b
0 b c 0 0 c
0 b c a 0 0
0 b c a 0 a
0 b c a 0 b
0 b c a 0 c
0 b c b 0 0
0 b c b 0 a
0 b c b 0 b
0 b c b 0 c
0 b c c 0 0
0 b c c 0 a
0 b c c 0 b
0 b c c 0 c
0 c 0 0 0 0
0 c 0 0 0 a
0 c 0 0 0 b
0 c 0 0 0 c
0 c 0 a 0 0
0 c 0 a 0 a
0 c 0 a 0 b
0 c 0 a 0 c
0 c 0 b 0 0
0 c 0 b 0 a
0 c 0 b 0 b
0 c 0 b 0 c
0 c 0 c 0 0
0 c 0 c 0 a
0 c 0 c 0 b
0 c 0 c 0 c
0 c a 0 0 0
0 c a 0 0 a
0 c a 0 0 b
0 c a 0 0 c
0 c a a 0 0
0 c a a 0 a
0 c a a 0 b
0 c a a 0 c
0 c a b 0 0
0 c a b 0 a
0 c a b 0 b
0 c a b 0 c
0 c a c 0 0
0 c a c 0 a
0 c a c 0 b
0 c a c 0 c
0 c b 0 0 0
0 c b 0 0 a
0 c b 0 0 b
0 c b 0 0 c
0 c b a 0 0
0 c b a 0 a
0 c b a 0 b
0 c b a 0 c
0 c b b 0 0
0 c b b 0 a
0 c b b 0 b
0 c b b 0 c
0 c b c 0 0
0 c b c 0 a
0 c b c 0 b
0 c b c 0 c
0 c c 0 0 0
0 c c 0 0 a
0 c c 0 0 b
0 c c 0 0 c
0 c c a 0 0
0 c c a 0 a
0 c c a 0 b
0 c c a 0 c
0 c c b 0 0
0 c c b 0 a
0 c c b 0 b
0 c c b 0 c
0 c c c 0 0
0 c c c 0 a
0 c c c 0 b
0 c c c 0 c
Is it a nice code?: No
Generator Matrix-40
a 0 0 0 a 0
b 0 0 0 b 0
0 c 0 0 0 0
0 0 c 0 0 c
0 0 0 c 0 c
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 c
0 0 0 c c 0
0 0 c 0 0 c
0 0 c 0 c 0
0 0 c c 0 0
0 0 c c c c
0 c 0 0 0 0
0 c 0 0 c c
0 c 0 c 0 c
0 c 0 c c 0
0 c c 0 0 c
0 c c 0 c 0
0 c c c 0 0
0 c c c c c
b 0 0 0 b 0
b 0 0 0 a c
b 0 0 c b c
b 0 0 c a 0
b 0 c 0 b c
b 0 c 0 a 0
b 0 c c b 0
b 0 c c a c
b c 0 0 b 0
b c 0 0 a c
b c 0 c b c
b c 0 c a 0
b c c 0 b c
b c c 0 a 0
b c c c b 0
b c c c a c
a 0 0 0 a 0
a 0 0 0 b c
a 0 0 c a c
a 0 0 c b 0
a 0 c 0 a c
a 0 c 0 b 0
a 0 c c a 0
a 0 c c b c
a c 0 0 a 0
a c 0 0 b c
a c 0 c a c
a c 0 c b 0
a c c 0 a c
a c c 0 b 0
a c c c a 0
a c c c b c
c 0 0 0 c 0
c 0 0 0 0 c
c 0 0 c c c
c 0 0 c 0 0
c 0 c 0 c c
c 0 c 0 0 0
c 0 c c c 0
c 0 c c 0 c
c c 0 0 c 0
c c 0 0 0 c
c c 0 c c c
c c 0 c 0 0
c c c 0 c c
c c c 0 0 0
c c c c c 0
c c c c 0 c
dmin: 1
Weight Enumerator: 1x0 + 1x1 + 12x2 + 18x3 + 17x4 + 13x5 + 2x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)4 (X_b)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_b)2 (X_c)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_b)2 (X_c)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_b)2 (X_c)3 + (X_a)1 (X_b)1 (X_c)4 + (X_0)4 (X_a)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_c)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_c)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_a)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_c)3 + (X_a)1 (X_b)1 (X_c)4 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 a a 0 0
0 0 a a 0 a
0 0 a a 0 b
0 0 a a 0 c
0 0 a b 0 0
0 0 a b 0 a
0 0 a b 0 b
0 0 a b 0 c
0 0 a c 0 0
0 0 a c 0 a
0 0 a c 0 b
0 0 a c 0 c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 b a 0 0
0 0 b a 0 a
0 0 b a 0 b
0 0 b a 0 c
0 0 b b 0 0
0 0 b b 0 a
0 0 b b 0 b
0 0 b b 0 c
0 0 b c 0 0
0 0 b c 0 a
0 0 b c 0 b
0 0 b c 0 c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c
0 0 c a 0 0
0 0 c a 0 a
0 0 c a 0 b
0 0 c a 0 c
0 0 c b 0 0
0 0 c b 0 a
0 0 c b 0 b
0 0 c b 0 c
0 0 c c 0 0
0 0 c c 0 a
0 0 c c 0 b
0 0 c c 0 c
0 a 0 0 0 0
0 a 0 0 0 a
0 a 0 0 0 b
0 a 0 0 0 c
0 a 0 a 0 0
0 a 0 a 0 a
0 a 0 a 0 b
0 a 0 a 0 c
0 a 0 b 0 0
0 a 0 b 0 a
0 a 0 b 0 b
0 a 0 b 0 c
0 a 0 c 0 0
0 a 0 c 0 a
0 a 0 c 0 b
0 a 0 c 0 c
0 a a 0 0 0
0 a a 0 0 a
0 a a 0 0 b
0 a a 0 0 c
0 a a a 0 0
0 a a a 0 a
0 a a a 0 b
0 a a a 0 c
0 a a b 0 0
0 a a b 0 a
0 a a b 0 b
0 a a b 0 c
0 a a c 0 0
0 a a c 0 a
0 a a c 0 b
0 a a c 0 c
0 a b 0 0 0
0 a b 0 0 a
0 a b 0 0 b
0 a b 0 0 c
0 a b a 0 0
0 a b a 0 a
0 a b a 0 b
0 a b a 0 c
0 a b b 0 0
0 a b b 0 a
0 a b b 0 b
0 a b b 0 c
0 a b c 0 0
0 a b c 0 a
0 a b c 0 b
0 a b c 0 c
0 a c 0 0 0
0 a c 0 0 a
0 a c 0 0 b
0 a c 0 0 c
0 a c a 0 0
0 a c a 0 a
0 a c a 0 b
0 a c a 0 c
0 a c b 0 0
0 a c b 0 a
0 a c b 0 b
0 a c b 0 c
0 a c c 0 0
0 a c c 0 a
0 a c c 0 b
0 a c c 0 c
0 b 0 0 0 0
0 b 0 0 0 a
0 b 0 0 0 b
0 b 0 0 0 c
0 b 0 a 0 0
0 b 0 a 0 a
0 b 0 a 0 b
0 b 0 a 0 c
0 b 0 b 0 0
0 b 0 b 0 a
0 b 0 b 0 b
0 b 0 b 0 c
0 b 0 c 0 0
0 b 0 c 0 a
0 b 0 c 0 b
0 b 0 c 0 c
0 b a 0 0 0
0 b a 0 0 a
0 b a 0 0 b
0 b a 0 0 c
0 b a a 0 0
0 b a a 0 a
0 b a a 0 b
0 b a a 0 c
0 b a b 0 0
0 b a b 0 a
0 b a b 0 b
0 b a b 0 c
0 b a c 0 0
0 b a c 0 a
0 b a c 0 b
0 b a c 0 c
0 b b 0 0 0
0 b b 0 0 a
0 b b 0 0 b
0 b b 0 0 c
0 b b a 0 0
0 b b a 0 a
0 b b a 0 b
0 b b a 0 c
0 b b b 0 0
0 b b b 0 a
0 b b b 0 b
0 b b b 0 c
0 b b c 0 0
0 b b c 0 a
0 b b c 0 b
0 b b c 0 c
0 b c 0 0 0
0 b c 0 0 a
0 b c 0 0 b
0 b c 0 0 c
0 b c a 0 0
0 b c a 0 a
0 b c a 0 b
0 b c a 0 c
0 b c b 0 0
0 b c b 0 a
0 b c b 0 b
0 b c b 0 c
0 b c c 0 0
0 b c c 0 a
0 b c c 0 b
0 b c c 0 c
0 c 0 0 0 0
0 c 0 0 0 a
0 c 0 0 0 b
0 c 0 0 0 c
0 c 0 a 0 0
0 c 0 a 0 a
0 c 0 a 0 b
0 c 0 a 0 c
0 c 0 b 0 0
0 c 0 b 0 a
0 c 0 b 0 b
0 c 0 b 0 c
0 c 0 c 0 0
0 c 0 c 0 a
0 c 0 c 0 b
0 c 0 c 0 c
0 c a 0 0 0
0 c a 0 0 a
0 c a 0 0 b
0 c a 0 0 c
0 c a a 0 0
0 c a a 0 a
0 c a a 0 b
0 c a a 0 c
0 c a b 0 0
0 c a b 0 a
0 c a b 0 b
0 c a b 0 c
0 c a c 0 0
0 c a c 0 a
0 c a c 0 b
0 c a c 0 c
0 c b 0 0 0
0 c b 0 0 a
0 c b 0 0 b
0 c b 0 0 c
0 c b a 0 0
0 c b a 0 a
0 c b a 0 b
0 c b a 0 c
0 c b b 0 0
0 c b b 0 a
0 c b b 0 b
0 c b b 0 c
0 c b c 0 0
0 c b c 0 a
0 c b c 0 b
0 c b c 0 c
0 c c 0 0 0
0 c c 0 0 a
0 c c 0 0 b
0 c c 0 0 c
0 c c a 0 0
0 c c a 0 a
0 c c a 0 b
0 c c a 0 c
0 c c b 0 0
0 c c b 0 a
0 c c b 0 b
0 c c b 0 c
0 c c c 0 0
0 c c c 0 a
0 c c c 0 b
0 c c c 0 c
Is it a nice code?: No
Generator Matrix-41
a 0 0 0 a 0
b 0 0 0 b 0
0 c 0 0 0 c
0 0 c 0 0 0
0 0 0 c 0 0
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 0
0 0 0 c c 0
0 0 c 0 0 0
0 0 c 0 c 0
0 0 c c 0 0
0 0 c c c 0
0 c 0 0 0 c
0 c 0 0 c c
0 c 0 c 0 c
0 c 0 c c c
0 c c 0 0 c
0 c c 0 c c
0 c c c 0 c
0 c c c c c
b 0 0 0 b 0
b 0 0 0 a 0
b 0 0 c b 0
b 0 0 c a 0
b 0 c 0 b 0
b 0 c 0 a 0
b 0 c c b 0
b 0 c c a 0
b c 0 0 b c
b c 0 0 a c
b c 0 c b c
b c 0 c a c
b c c 0 b c
b c c 0 a c
b c c c b c
b c c c a c
a 0 0 0 a 0
a 0 0 0 b 0
a 0 0 c a 0
a 0 0 c b 0
a 0 c 0 a 0
a 0 c 0 b 0
a 0 c c a 0
a 0 c c b 0
a c 0 0 a c
a c 0 0 b c
a c 0 c a c
a c 0 c b c
a c c 0 a c
a c c 0 b c
a c c c a c
a c c c b c
c 0 0 0 c 0
c 0 0 0 0 0
c 0 0 c c 0
c 0 0 c 0 0
c 0 c 0 c 0
c 0 c 0 0 0
c 0 c c c 0
c 0 c c 0 0
c c 0 0 c c
c c 0 0 0 c
c c 0 c c c
c c 0 c 0 c
c c c 0 c c
c c c 0 0 c
c c c c c c
c c c c 0 c
dmin: 1
Weight Enumerator: 1x0 + 4x1 + 11x2 + 16x3 + 15x4 + 12x5 + 5x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)4 (X_b)2 + (X_0)4 (X_a)1 (X_b)1 + (X_0)3 (X_b)2 (X_c)1 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)3 (X_b)2 (X_c)1 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_b)2 (X_c)4 + (X_a)1 (X_b)1 (X_c)4 + (X_0)4 (X_a)2 + (X_0)4 (X_a)1 (X_b)1 + (X_0)3 (X_a)2 (X_c)1 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)3 (X_a)2 (X_c)1 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)2 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_a)2 (X_c)4 + (X_a)1 (X_b)1 (X_c)4 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_c)6 + (X_0)1 (X_c)5
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 a a 0 0
0 0 a a 0 a
0 0 a a 0 b
0 0 a a 0 c
0 0 a b 0 0
0 0 a b 0 a
0 0 a b 0 b
0 0 a b 0 c
0 0 a c 0 0
0 0 a c 0 a
0 0 a c 0 b
0 0 a c 0 c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 b a 0 0
0 0 b a 0 a
0 0 b a 0 b
0 0 b a 0 c
0 0 b b 0 0
0 0 b b 0 a
0 0 b b 0 b
0 0 b b 0 c
0 0 b c 0 0
0 0 b c 0 a
0 0 b c 0 b
0 0 b c 0 c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c
0 0 c a 0 0
0 0 c a 0 a
0 0 c a 0 b
0 0 c a 0 c
0 0 c b 0 0
0 0 c b 0 a
0 0 c b 0 b
0 0 c b 0 c
0 0 c c 0 0
0 0 c c 0 a
0 0 c c 0 b
0 0 c c 0 c
0 a 0 0 0 0
0 a 0 0 0 a
0 a 0 0 0 b
0 a 0 0 0 c
0 a 0 a 0 0
0 a 0 a 0 a
0 a 0 a 0 b
0 a 0 a 0 c
0 a 0 b 0 0
0 a 0 b 0 a
0 a 0 b 0 b
0 a 0 b 0 c
0 a 0 c 0 0
0 a 0 c 0 a
0 a 0 c 0 b
0 a 0 c 0 c
0 a a 0 0 0
0 a a 0 0 a
0 a a 0 0 b
0 a a 0 0 c
0 a a a 0 0
0 a a a 0 a
0 a a a 0 b
0 a a a 0 c
0 a a b 0 0
0 a a b 0 a
0 a a b 0 b
0 a a b 0 c
0 a a c 0 0
0 a a c 0 a
0 a a c 0 b
0 a a c 0 c
0 a b 0 0 0
0 a b 0 0 a
0 a b 0 0 b
0 a b 0 0 c
0 a b a 0 0
0 a b a 0 a
0 a b a 0 b
0 a b a 0 c
0 a b b 0 0
0 a b b 0 a
0 a b b 0 b
0 a b b 0 c
0 a b c 0 0
0 a b c 0 a
0 a b c 0 b
0 a b c 0 c
0 a c 0 0 0
0 a c 0 0 a
0 a c 0 0 b
0 a c 0 0 c
0 a c a 0 0
0 a c a 0 a
0 a c a 0 b
0 a c a 0 c
0 a c b 0 0
0 a c b 0 a
0 a c b 0 b
0 a c b 0 c
0 a c c 0 0
0 a c c 0 a
0 a c c 0 b
0 a c c 0 c
0 b 0 0 0 0
0 b 0 0 0 a
0 b 0 0 0 b
0 b 0 0 0 c
0 b 0 a 0 0
0 b 0 a 0 a
0 b 0 a 0 b
0 b 0 a 0 c
0 b 0 b 0 0
0 b 0 b 0 a
0 b 0 b 0 b
0 b 0 b 0 c
0 b 0 c 0 0
0 b 0 c 0 a
0 b 0 c 0 b
0 b 0 c 0 c
0 b a 0 0 0
0 b a 0 0 a
0 b a 0 0 b
0 b a 0 0 c
0 b a a 0 0
0 b a a 0 a
0 b a a 0 b
0 b a a 0 c
0 b a b 0 0
0 b a b 0 a
0 b a b 0 b
0 b a b 0 c
0 b a c 0 0
0 b a c 0 a
0 b a c 0 b
0 b a c 0 c
0 b b 0 0 0
0 b b 0 0 a
0 b b 0 0 b
0 b b 0 0 c
0 b b a 0 0
0 b b a 0 a
0 b b a 0 b
0 b b a 0 c
0 b b b 0 0
0 b b b 0 a
0 b b b 0 b
0 b b b 0 c
0 b b c 0 0
0 b b c 0 a
0 b b c 0 b
0 b b c 0 c
0 b c 0 0 0
0 b c 0 0 a
0 b c 0 0 b
0 b c 0 0 c
0 b c a 0 0
0 b c a 0 a
0 b c a 0 b
0 b c a 0 c
0 b c b 0 0
0 b c b 0 a
0 b c b 0 b
0 b c b 0 c
0 b c c 0 0
0 b c c 0 a
0 b c c 0 b
0 b c c 0 c
0 c 0 0 0 0
0 c 0 0 0 a
0 c 0 0 0 b
0 c 0 0 0 c
0 c 0 a 0 0
0 c 0 a 0 a
0 c 0 a 0 b
0 c 0 a 0 c
0 c 0 b 0 0
0 c 0 b 0 a
0 c 0 b 0 b
0 c 0 b 0 c
0 c 0 c 0 0
0 c 0 c 0 a
0 c 0 c 0 b
0 c 0 c 0 c
0 c a 0 0 0
0 c a 0 0 a
0 c a 0 0 b
0 c a 0 0 c
0 c a a 0 0
0 c a a 0 a
0 c a a 0 b
0 c a a 0 c
0 c a b 0 0
0 c a b 0 a
0 c a b 0 b
0 c a b 0 c
0 c a c 0 0
0 c a c 0 a
0 c a c 0 b
0 c a c 0 c
0 c b 0 0 0
0 c b 0 0 a
0 c b 0 0 b
0 c b 0 0 c
0 c b a 0 0
0 c b a 0 a
0 c b a 0 b
0 c b a 0 c
0 c b b 0 0
0 c b b 0 a
0 c b b 0 b
0 c b b 0 c
0 c b c 0 0
0 c b c 0 a
0 c b c 0 b
0 c b c 0 c
0 c c 0 0 0
0 c c 0 0 a
0 c c 0 0 b
0 c c 0 0 c
0 c c a 0 0
0 c c a 0 a
0 c c a 0 b
0 c c a 0 c
0 c c b 0 0
0 c c b 0 a
0 c c b 0 b
0 c c b 0 c
0 c c c 0 0
0 c c c 0 a
0 c c c 0 b
0 c c c 0 c
Is it a nice code?: No
Generator Matrix-42
a 0 0 0 a 0
b 0 0 0 b 0
0 c 0 0 0 c
0 0 c 0 0 0
0 0 0 c 0 0
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 0
0 0 0 c c c
0 0 c 0 0 0
0 0 c 0 c c
0 0 c c 0 0
0 0 c c c c
0 c 0 0 0 c
0 c 0 0 c 0
0 c 0 c 0 c
0 c 0 c c 0
0 c c 0 0 c
0 c c 0 c 0
0 c c c 0 c
0 c c c c 0
b 0 0 0 b 0
b 0 0 0 a c
b 0 0 c b 0
b 0 0 c a c
b 0 c 0 b 0
b 0 c 0 a c
b 0 c c b 0
b 0 c c a c
b c 0 0 b c
b c 0 0 a 0
b c 0 c b c
b c 0 c a 0
b c c 0 b c
b c c 0 a 0
b c c c b c
b c c c a 0
a 0 0 0 a 0
a 0 0 0 b c
a 0 0 c a 0
a 0 0 c b c
a 0 c 0 a 0
a 0 c 0 b c
a 0 c c a 0
a 0 c c b c
a c 0 0 a c
a c 0 0 b 0
a c 0 c a c
a c 0 c b 0
a c c 0 a c
a c c 0 b 0
a c c c a c
a c c c b 0
c 0 0 0 c 0
c 0 0 0 0 c
c 0 0 c c 0
c 0 0 c 0 c
c 0 c 0 c 0
c 0 c 0 0 c
c 0 c c c 0
c 0 c c 0 c
c c 0 0 c c
c c 0 0 0 0
c c 0 c c c
c c 0 c 0 0
c c c 0 c c
c c c 0 0 0
c c c c c c
c c c c 0 0
dmin: 1
Weight Enumerator: 1x0 + 2x1 + 9x2 + 20x3 + 19x4 + 10x5 + 3x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)4 (X_b)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)3 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_b)2 (X_c)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_b)2 (X_c)4 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_a)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)3 (X_a)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_a)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)2 (X_c)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_a)2 (X_c)4 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_c)6 + (X_0)2 (X_c)4
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 a a 0 0
0 0 a a 0 a
0 0 a a 0 b
0 0 a a 0 c
0 0 a b 0 0
0 0 a b 0 a
0 0 a b 0 b
0 0 a b 0 c
0 0 a c 0 0
0 0 a c 0 a
0 0 a c 0 b
0 0 a c 0 c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 b a 0 0
0 0 b a 0 a
0 0 b a 0 b
0 0 b a 0 c
0 0 b b 0 0
0 0 b b 0 a
0 0 b b 0 b
0 0 b b 0 c
0 0 b c 0 0
0 0 b c 0 a
0 0 b c 0 b
0 0 b c 0 c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c
0 0 c a 0 0
0 0 c a 0 a
0 0 c a 0 b
0 0 c a 0 c
0 0 c b 0 0
0 0 c b 0 a
0 0 c b 0 b
0 0 c b 0 c
0 0 c c 0 0
0 0 c c 0 a
0 0 c c 0 b
0 0 c c 0 c
0 a 0 0 0 0
0 a 0 0 0 a
0 a 0 0 0 b
0 a 0 0 0 c
0 a 0 a 0 0
0 a 0 a 0 a
0 a 0 a 0 b
0 a 0 a 0 c
0 a 0 b 0 0
0 a 0 b 0 a
0 a 0 b 0 b
0 a 0 b 0 c
0 a 0 c 0 0
0 a 0 c 0 a
0 a 0 c 0 b
0 a 0 c 0 c
0 a a 0 0 0
0 a a 0 0 a
0 a a 0 0 b
0 a a 0 0 c
0 a a a 0 0
0 a a a 0 a
0 a a a 0 b
0 a a a 0 c
0 a a b 0 0
0 a a b 0 a
0 a a b 0 b
0 a a b 0 c
0 a a c 0 0
0 a a c 0 a
0 a a c 0 b
0 a a c 0 c
0 a b 0 0 0
0 a b 0 0 a
0 a b 0 0 b
0 a b 0 0 c
0 a b a 0 0
0 a b a 0 a
0 a b a 0 b
0 a b a 0 c
0 a b b 0 0
0 a b b 0 a
0 a b b 0 b
0 a b b 0 c
0 a b c 0 0
0 a b c 0 a
0 a b c 0 b
0 a b c 0 c
0 a c 0 0 0
0 a c 0 0 a
0 a c 0 0 b
0 a c 0 0 c
0 a c a 0 0
0 a c a 0 a
0 a c a 0 b
0 a c a 0 c
0 a c b 0 0
0 a c b 0 a
0 a c b 0 b
0 a c b 0 c
0 a c c 0 0
0 a c c 0 a
0 a c c 0 b
0 a c c 0 c
0 b 0 0 0 0
0 b 0 0 0 a
0 b 0 0 0 b
0 b 0 0 0 c
0 b 0 a 0 0
0 b 0 a 0 a
0 b 0 a 0 b
0 b 0 a 0 c
0 b 0 b 0 0
0 b 0 b 0 a
0 b 0 b 0 b
0 b 0 b 0 c
0 b 0 c 0 0
0 b 0 c 0 a
0 b 0 c 0 b
0 b 0 c 0 c
0 b a 0 0 0
0 b a 0 0 a
0 b a 0 0 b
0 b a 0 0 c
0 b a a 0 0
0 b a a 0 a
0 b a a 0 b
0 b a a 0 c
0 b a b 0 0
0 b a b 0 a
0 b a b 0 b
0 b a b 0 c
0 b a c 0 0
0 b a c 0 a
0 b a c 0 b
0 b a c 0 c
0 b b 0 0 0
0 b b 0 0 a
0 b b 0 0 b
0 b b 0 0 c
0 b b a 0 0
0 b b a 0 a
0 b b a 0 b
0 b b a 0 c
0 b b b 0 0
0 b b b 0 a
0 b b b 0 b
0 b b b 0 c
0 b b c 0 0
0 b b c 0 a
0 b b c 0 b
0 b b c 0 c
0 b c 0 0 0
0 b c 0 0 a
0 b c 0 0 b
0 b c 0 0 c
0 b c a 0 0
0 b c a 0 a
0 b c a 0 b
0 b c a 0 c
0 b c b 0 0
0 b c b 0 a
0 b c b 0 b
0 b c b 0 c
0 b c c 0 0
0 b c c 0 a
0 b c c 0 b
0 b c c 0 c
0 c 0 0 0 0
0 c 0 0 0 a
0 c 0 0 0 b
0 c 0 0 0 c
0 c 0 a 0 0
0 c 0 a 0 a
0 c 0 a 0 b
0 c 0 a 0 c
0 c 0 b 0 0
0 c 0 b 0 a
0 c 0 b 0 b
0 c 0 b 0 c
0 c 0 c 0 0
0 c 0 c 0 a
0 c 0 c 0 b
0 c 0 c 0 c
0 c a 0 0 0
0 c a 0 0 a
0 c a 0 0 b
0 c a 0 0 c
0 c a a 0 0
0 c a a 0 a
0 c a a 0 b
0 c a a 0 c
0 c a b 0 0
0 c a b 0 a
0 c a b 0 b
0 c a b 0 c
0 c a c 0 0
0 c a c 0 a
0 c a c 0 b
0 c a c 0 c
0 c b 0 0 0
0 c b 0 0 a
0 c b 0 0 b
0 c b 0 0 c
0 c b a 0 0
0 c b a 0 a
0 c b a 0 b
0 c b a 0 c
0 c b b 0 0
0 c b b 0 a
0 c b b 0 b
0 c b b 0 c
0 c b c 0 0
0 c b c 0 a
0 c b c 0 b
0 c b c 0 c
0 c c 0 0 0
0 c c 0 0 a
0 c c 0 0 b
0 c c 0 0 c
0 c c a 0 0
0 c c a 0 a
0 c c a 0 b
0 c c a 0 c
0 c c b 0 0
0 c c b 0 a
0 c c b 0 b
0 c c b 0 c
0 c c c 0 0
0 c c c 0 a
0 c c c 0 b
0 c c c 0 c
Is it a nice code?: No
Generator Matrix-43
a 0 0 0 a 0
b 0 0 0 b 0
0 c 0 0 0 c
0 0 c 0 0 0
0 0 0 c 0 c
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 c
0 0 0 c c c
0 0 c 0 0 0
0 0 c 0 c 0
0 0 c c 0 c
0 0 c c c c
0 c 0 0 0 c
0 c 0 0 c c
0 c 0 c 0 0
0 c 0 c c 0
0 c c 0 0 c
0 c c 0 c c
0 c c c 0 0
0 c c c c 0
b 0 0 0 b 0
b 0 0 0 a 0
b 0 0 c b c
b 0 0 c a c
b 0 c 0 b 0
b 0 c 0 a 0
b 0 c c b c
b 0 c c a c
b c 0 0 b c
b c 0 0 a c
b c 0 c b 0
b c 0 c a 0
b c c 0 b c
b c c 0 a c
b c c c b 0
b c c c a 0
a 0 0 0 a 0
a 0 0 0 b 0
a 0 0 c a c
a 0 0 c b c
a 0 c 0 a 0
a 0 c 0 b 0
a 0 c c a c
a 0 c c b c
a c 0 0 a c
a c 0 0 b c
a c 0 c a 0
a c 0 c b 0
a c c 0 a c
a c c 0 b c
a c c c a 0
a c c c b 0
c 0 0 0 c 0
c 0 0 0 0 0
c 0 0 c c c
c 0 0 c 0 c
c 0 c 0 c 0
c 0 c 0 0 0
c 0 c c c c
c 0 c c 0 c
c c 0 0 c c
c c 0 0 0 c
c c 0 c c 0
c c 0 c 0 0
c c c 0 c c
c c c 0 0 c
c c c c c 0
c c c c 0 0
dmin: 1
Weight Enumerator: 1x0 + 3x1 + 10x2 + 14x3 + 21x4 + 15x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_b)2 + (X_0)4 (X_a)1 (X_b)1 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_b)2 (X_c)1 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_a)2 + (X_0)4 (X_a)1 (X_b)1 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_a)2 (X_c)1 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)2 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 a a 0 0
0 0 a a 0 a
0 0 a a 0 b
0 0 a a 0 c
0 0 a b 0 0
0 0 a b 0 a
0 0 a b 0 b
0 0 a b 0 c
0 0 a c 0 0
0 0 a c 0 a
0 0 a c 0 b
0 0 a c 0 c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 b a 0 0
0 0 b a 0 a
0 0 b a 0 b
0 0 b a 0 c
0 0 b b 0 0
0 0 b b 0 a
0 0 b b 0 b
0 0 b b 0 c
0 0 b c 0 0
0 0 b c 0 a
0 0 b c 0 b
0 0 b c 0 c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c
0 0 c a 0 0
0 0 c a 0 a
0 0 c a 0 b
0 0 c a 0 c
0 0 c b 0 0
0 0 c b 0 a
0 0 c b 0 b
0 0 c b 0 c
0 0 c c 0 0
0 0 c c 0 a
0 0 c c 0 b
0 0 c c 0 c
0 a 0 0 0 0
0 a 0 0 0 a
0 a 0 0 0 b
0 a 0 0 0 c
0 a 0 a 0 0
0 a 0 a 0 a
0 a 0 a 0 b
0 a 0 a 0 c
0 a 0 b 0 0
0 a 0 b 0 a
0 a 0 b 0 b
0 a 0 b 0 c
0 a 0 c 0 0
0 a 0 c 0 a
0 a 0 c 0 b
0 a 0 c 0 c
0 a a 0 0 0
0 a a 0 0 a
0 a a 0 0 b
0 a a 0 0 c
0 a a a 0 0
0 a a a 0 a
0 a a a 0 b
0 a a a 0 c
0 a a b 0 0
0 a a b 0 a
0 a a b 0 b
0 a a b 0 c
0 a a c 0 0
0 a a c 0 a
0 a a c 0 b
0 a a c 0 c
0 a b 0 0 0
0 a b 0 0 a
0 a b 0 0 b
0 a b 0 0 c
0 a b a 0 0
0 a b a 0 a
0 a b a 0 b
0 a b a 0 c
0 a b b 0 0
0 a b b 0 a
0 a b b 0 b
0 a b b 0 c
0 a b c 0 0
0 a b c 0 a
0 a b c 0 b
0 a b c 0 c
0 a c 0 0 0
0 a c 0 0 a
0 a c 0 0 b
0 a c 0 0 c
0 a c a 0 0
0 a c a 0 a
0 a c a 0 b
0 a c a 0 c
0 a c b 0 0
0 a c b 0 a
0 a c b 0 b
0 a c b 0 c
0 a c c 0 0
0 a c c 0 a
0 a c c 0 b
0 a c c 0 c
0 b 0 0 0 0
0 b 0 0 0 a
0 b 0 0 0 b
0 b 0 0 0 c
0 b 0 a 0 0
0 b 0 a 0 a
0 b 0 a 0 b
0 b 0 a 0 c
0 b 0 b 0 0
0 b 0 b 0 a
0 b 0 b 0 b
0 b 0 b 0 c
0 b 0 c 0 0
0 b 0 c 0 a
0 b 0 c 0 b
0 b 0 c 0 c
0 b a 0 0 0
0 b a 0 0 a
0 b a 0 0 b
0 b a 0 0 c
0 b a a 0 0
0 b a a 0 a
0 b a a 0 b
0 b a a 0 c
0 b a b 0 0
0 b a b 0 a
0 b a b 0 b
0 b a b 0 c
0 b a c 0 0
0 b a c 0 a
0 b a c 0 b
0 b a c 0 c
0 b b 0 0 0
0 b b 0 0 a
0 b b 0 0 b
0 b b 0 0 c
0 b b a 0 0
0 b b a 0 a
0 b b a 0 b
0 b b a 0 c
0 b b b 0 0
0 b b b 0 a
0 b b b 0 b
0 b b b 0 c
0 b b c 0 0
0 b b c 0 a
0 b b c 0 b
0 b b c 0 c
0 b c 0 0 0
0 b c 0 0 a
0 b c 0 0 b
0 b c 0 0 c
0 b c a 0 0
0 b c a 0 a
0 b c a 0 b
0 b c a 0 c
0 b c b 0 0
0 b c b 0 a
0 b c b 0 b
0 b c b 0 c
0 b c c 0 0
0 b c c 0 a
0 b c c 0 b
0 b c c 0 c
0 c 0 0 0 0
0 c 0 0 0 a
0 c 0 0 0 b
0 c 0 0 0 c
0 c 0 a 0 0
0 c 0 a 0 a
0 c 0 a 0 b
0 c 0 a 0 c
0 c 0 b 0 0
0 c 0 b 0 a
0 c 0 b 0 b
0 c 0 b 0 c
0 c 0 c 0 0
0 c 0 c 0 a
0 c 0 c 0 b
0 c 0 c 0 c
0 c a 0 0 0
0 c a 0 0 a
0 c a 0 0 b
0 c a 0 0 c
0 c a a 0 0
0 c a a 0 a
0 c a a 0 b
0 c a a 0 c
0 c a b 0 0
0 c a b 0 a
0 c a b 0 b
0 c a b 0 c
0 c a c 0 0
0 c a c 0 a
0 c a c 0 b
0 c a c 0 c
0 c b 0 0 0
0 c b 0 0 a
0 c b 0 0 b
0 c b 0 0 c
0 c b a 0 0
0 c b a 0 a
0 c b a 0 b
0 c b a 0 c
0 c b b 0 0
0 c b b 0 a
0 c b b 0 b
0 c b b 0 c
0 c b c 0 0
0 c b c 0 a
0 c b c 0 b
0 c b c 0 c
0 c c 0 0 0
0 c c 0 0 a
0 c c 0 0 b
0 c c 0 0 c
0 c c a 0 0
0 c c a 0 a
0 c c a 0 b
0 c c a 0 c
0 c c b 0 0
0 c c b 0 a
0 c c b 0 b
0 c c b 0 c
0 c c c 0 0
0 c c c 0 a
0 c c c 0 b
0 c c c 0 c
Is it a nice code?: No
Generator Matrix-44
a 0 0 0 a 0
b 0 0 0 b 0
0 c 0 0 0 c
0 0 c 0 0 0
0 0 0 c 0 c
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 c
0 0 0 c c 0
0 0 c 0 0 0
0 0 c 0 c c
0 0 c c 0 c
0 0 c c c 0
0 c 0 0 0 c
0 c 0 0 c 0
0 c 0 c 0 0
0 c 0 c c c
0 c c 0 0 c
0 c c 0 c 0
0 c c c 0 0
0 c c c c c
b 0 0 0 b 0
b 0 0 0 a c
b 0 0 c b c
b 0 0 c a 0
b 0 c 0 b 0
b 0 c 0 a c
b 0 c c b c
b 0 c c a 0
b c 0 0 b c
b c 0 0 a 0
b c 0 c b 0
b c 0 c a c
b c c 0 b c
b c c 0 a 0
b c c c b 0
b c c c a c
a 0 0 0 a 0
a 0 0 0 b c
a 0 0 c a c
a 0 0 c b 0
a 0 c 0 a 0
a 0 c 0 b c
a 0 c c a c
a 0 c c b 0
a c 0 0 a c
a c 0 0 b 0
a c 0 c a 0
a c 0 c b c
a c c 0 a c
a c c 0 b 0
a c c c a 0
a c c c b c
c 0 0 0 c 0
c 0 0 0 0 c
c 0 0 c c c
c 0 0 c 0 0
c 0 c 0 c 0
c 0 c 0 0 c
c 0 c c c c
c 0 c c 0 0
c c 0 0 c c
c c 0 0 0 0
c c 0 c c 0
c c 0 c 0 c
c c c 0 c c
c c c 0 0 0
c c c c c 0
c c c c 0 c
dmin: 1
Weight Enumerator: 1x0 + 1x1 + 12x2 + 18x3 + 17x4 + 13x5 + 2x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)4 (X_b)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_b)2 (X_c)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)3 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_b)2 (X_c)3 + (X_a)1 (X_b)1 (X_c)4 + (X_0)4 (X_a)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_c)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)3 (X_a)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_c)3 + (X_a)1 (X_b)1 (X_c)4 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 a a 0 0
0 0 a a 0 a
0 0 a a 0 b
0 0 a a 0 c
0 0 a b 0 0
0 0 a b 0 a
0 0 a b 0 b
0 0 a b 0 c
0 0 a c 0 0
0 0 a c 0 a
0 0 a c 0 b
0 0 a c 0 c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 b a 0 0
0 0 b a 0 a
0 0 b a 0 b
0 0 b a 0 c
0 0 b b 0 0
0 0 b b 0 a
0 0 b b 0 b
0 0 b b 0 c
0 0 b c 0 0
0 0 b c 0 a
0 0 b c 0 b
0 0 b c 0 c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c
0 0 c a 0 0
0 0 c a 0 a
0 0 c a 0 b
0 0 c a 0 c
0 0 c b 0 0
0 0 c b 0 a
0 0 c b 0 b
0 0 c b 0 c
0 0 c c 0 0
0 0 c c 0 a
0 0 c c 0 b
0 0 c c 0 c
0 a 0 0 0 0
0 a 0 0 0 a
0 a 0 0 0 b
0 a 0 0 0 c
0 a 0 a 0 0
0 a 0 a 0 a
0 a 0 a 0 b
0 a 0 a 0 c
0 a 0 b 0 0
0 a 0 b 0 a
0 a 0 b 0 b
0 a 0 b 0 c
0 a 0 c 0 0
0 a 0 c 0 a
0 a 0 c 0 b
0 a 0 c 0 c
0 a a 0 0 0
0 a a 0 0 a
0 a a 0 0 b
0 a a 0 0 c
0 a a a 0 0
0 a a a 0 a
0 a a a 0 b
0 a a a 0 c
0 a a b 0 0
0 a a b 0 a
0 a a b 0 b
0 a a b 0 c
0 a a c 0 0
0 a a c 0 a
0 a a c 0 b
0 a a c 0 c
0 a b 0 0 0
0 a b 0 0 a
0 a b 0 0 b
0 a b 0 0 c
0 a b a 0 0
0 a b a 0 a
0 a b a 0 b
0 a b a 0 c
0 a b b 0 0
0 a b b 0 a
0 a b b 0 b
0 a b b 0 c
0 a b c 0 0
0 a b c 0 a
0 a b c 0 b
0 a b c 0 c
0 a c 0 0 0
0 a c 0 0 a
0 a c 0 0 b
0 a c 0 0 c
0 a c a 0 0
0 a c a 0 a
0 a c a 0 b
0 a c a 0 c
0 a c b 0 0
0 a c b 0 a
0 a c b 0 b
0 a c b 0 c
0 a c c 0 0
0 a c c 0 a
0 a c c 0 b
0 a c c 0 c
0 b 0 0 0 0
0 b 0 0 0 a
0 b 0 0 0 b
0 b 0 0 0 c
0 b 0 a 0 0
0 b 0 a 0 a
0 b 0 a 0 b
0 b 0 a 0 c
0 b 0 b 0 0
0 b 0 b 0 a
0 b 0 b 0 b
0 b 0 b 0 c
0 b 0 c 0 0
0 b 0 c 0 a
0 b 0 c 0 b
0 b 0 c 0 c
0 b a 0 0 0
0 b a 0 0 a
0 b a 0 0 b
0 b a 0 0 c
0 b a a 0 0
0 b a a 0 a
0 b a a 0 b
0 b a a 0 c
0 b a b 0 0
0 b a b 0 a
0 b a b 0 b
0 b a b 0 c
0 b a c 0 0
0 b a c 0 a
0 b a c 0 b
0 b a c 0 c
0 b b 0 0 0
0 b b 0 0 a
0 b b 0 0 b
0 b b 0 0 c
0 b b a 0 0
0 b b a 0 a
0 b b a 0 b
0 b b a 0 c
0 b b b 0 0
0 b b b 0 a
0 b b b 0 b
0 b b b 0 c
0 b b c 0 0
0 b b c 0 a
0 b b c 0 b
0 b b c 0 c
0 b c 0 0 0
0 b c 0 0 a
0 b c 0 0 b
0 b c 0 0 c
0 b c a 0 0
0 b c a 0 a
0 b c a 0 b
0 b c a 0 c
0 b c b 0 0
0 b c b 0 a
0 b c b 0 b
0 b c b 0 c
0 b c c 0 0
0 b c c 0 a
0 b c c 0 b
0 b c c 0 c
0 c 0 0 0 0
0 c 0 0 0 a
0 c 0 0 0 b
0 c 0 0 0 c
0 c 0 a 0 0
0 c 0 a 0 a
0 c 0 a 0 b
0 c 0 a 0 c
0 c 0 b 0 0
0 c 0 b 0 a
0 c 0 b 0 b
0 c 0 b 0 c
0 c 0 c 0 0
0 c 0 c 0 a
0 c 0 c 0 b
0 c 0 c 0 c
0 c a 0 0 0
0 c a 0 0 a
0 c a 0 0 b
0 c a 0 0 c
0 c a a 0 0
0 c a a 0 a
0 c a a 0 b
0 c a a 0 c
0 c a b 0 0
0 c a b 0 a
0 c a b 0 b
0 c a b 0 c
0 c a c 0 0
0 c a c 0 a
0 c a c 0 b
0 c a c 0 c
0 c b 0 0 0
0 c b 0 0 a
0 c b 0 0 b
0 c b 0 0 c
0 c b a 0 0
0 c b a 0 a
0 c b a 0 b
0 c b a 0 c
0 c b b 0 0
0 c b b 0 a
0 c b b 0 b
0 c b b 0 c
0 c b c 0 0
0 c b c 0 a
0 c b c 0 b
0 c b c 0 c
0 c c 0 0 0
0 c c 0 0 a
0 c c 0 0 b
0 c c 0 0 c
0 c c a 0 0
0 c c a 0 a
0 c c a 0 b
0 c c a 0 c
0 c c b 0 0
0 c c b 0 a
0 c c b 0 b
0 c c b 0 c
0 c c c 0 0
0 c c c 0 a
0 c c c 0 b
0 c c c 0 c
Is it a nice code?: No
Generator Matrix-45
a 0 0 0 a 0
b 0 0 0 b 0
0 c 0 0 0 c
0 0 c 0 0 c
0 0 0 c 0 0
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 0
0 0 0 c c 0
0 0 c 0 0 c
0 0 c 0 c c
0 0 c c 0 c
0 0 c c c c
0 c 0 0 0 c
0 c 0 0 c c
0 c 0 c 0 c
0 c 0 c c c
0 c c 0 0 0
0 c c 0 c 0
0 c c c 0 0
0 c c c c 0
b 0 0 0 b 0
b 0 0 0 a 0
b 0 0 c b 0
b 0 0 c a 0
b 0 c 0 b c
b 0 c 0 a c
b 0 c c b c
b 0 c c a c
b c 0 0 b c
b c 0 0 a c
b c 0 c b c
b c 0 c a c
b c c 0 b 0
b c c 0 a 0
b c c c b 0
b c c c a 0
a 0 0 0 a 0
a 0 0 0 b 0
a 0 0 c a 0
a 0 0 c b 0
a 0 c 0 a c
a 0 c 0 b c
a 0 c c a c
a 0 c c b c
a c 0 0 a c
a c 0 0 b c
a c 0 c a c
a c 0 c b c
a c c 0 a 0
a c c 0 b 0
a c c c a 0
a c c c b 0
c 0 0 0 c 0
c 0 0 0 0 0
c 0 0 c c 0
c 0 0 c 0 0
c 0 c 0 c c
c 0 c 0 0 c
c 0 c c c c
c 0 c c 0 c
c c 0 0 c c
c c 0 0 0 c
c c 0 c c c
c c 0 c 0 c
c c c 0 c 0
c c c 0 0 0
c c c c c 0
c c c c 0 0
dmin: 1
Weight Enumerator: 1x0 + 3x1 + 10x2 + 14x3 + 21x4 + 15x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_b)2 + (X_0)4 (X_a)1 (X_b)1 + (X_0)3 (X_b)2 (X_c)1 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_a)2 + (X_0)4 (X_a)1 (X_b)1 + (X_0)3 (X_a)2 (X_c)1 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 a a 0 0
0 0 a a 0 a
0 0 a a 0 b
0 0 a a 0 c
0 0 a b 0 0
0 0 a b 0 a
0 0 a b 0 b
0 0 a b 0 c
0 0 a c 0 0
0 0 a c 0 a
0 0 a c 0 b
0 0 a c 0 c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 b a 0 0
0 0 b a 0 a
0 0 b a 0 b
0 0 b a 0 c
0 0 b b 0 0
0 0 b b 0 a
0 0 b b 0 b
0 0 b b 0 c
0 0 b c 0 0
0 0 b c 0 a
0 0 b c 0 b
0 0 b c 0 c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c
0 0 c a 0 0
0 0 c a 0 a
0 0 c a 0 b
0 0 c a 0 c
0 0 c b 0 0
0 0 c b 0 a
0 0 c b 0 b
0 0 c b 0 c
0 0 c c 0 0
0 0 c c 0 a
0 0 c c 0 b
0 0 c c 0 c
0 a 0 0 0 0
0 a 0 0 0 a
0 a 0 0 0 b
0 a 0 0 0 c
0 a 0 a 0 0
0 a 0 a 0 a
0 a 0 a 0 b
0 a 0 a 0 c
0 a 0 b 0 0
0 a 0 b 0 a
0 a 0 b 0 b
0 a 0 b 0 c
0 a 0 c 0 0
0 a 0 c 0 a
0 a 0 c 0 b
0 a 0 c 0 c
0 a a 0 0 0
0 a a 0 0 a
0 a a 0 0 b
0 a a 0 0 c
0 a a a 0 0
0 a a a 0 a
0 a a a 0 b
0 a a a 0 c
0 a a b 0 0
0 a a b 0 a
0 a a b 0 b
0 a a b 0 c
0 a a c 0 0
0 a a c 0 a
0 a a c 0 b
0 a a c 0 c
0 a b 0 0 0
0 a b 0 0 a
0 a b 0 0 b
0 a b 0 0 c
0 a b a 0 0
0 a b a 0 a
0 a b a 0 b
0 a b a 0 c
0 a b b 0 0
0 a b b 0 a
0 a b b 0 b
0 a b b 0 c
0 a b c 0 0
0 a b c 0 a
0 a b c 0 b
0 a b c 0 c
0 a c 0 0 0
0 a c 0 0 a
0 a c 0 0 b
0 a c 0 0 c
0 a c a 0 0
0 a c a 0 a
0 a c a 0 b
0 a c a 0 c
0 a c b 0 0
0 a c b 0 a
0 a c b 0 b
0 a c b 0 c
0 a c c 0 0
0 a c c 0 a
0 a c c 0 b
0 a c c 0 c
0 b 0 0 0 0
0 b 0 0 0 a
0 b 0 0 0 b
0 b 0 0 0 c
0 b 0 a 0 0
0 b 0 a 0 a
0 b 0 a 0 b
0 b 0 a 0 c
0 b 0 b 0 0
0 b 0 b 0 a
0 b 0 b 0 b
0 b 0 b 0 c
0 b 0 c 0 0
0 b 0 c 0 a
0 b 0 c 0 b
0 b 0 c 0 c
0 b a 0 0 0
0 b a 0 0 a
0 b a 0 0 b
0 b a 0 0 c
0 b a a 0 0
0 b a a 0 a
0 b a a 0 b
0 b a a 0 c
0 b a b 0 0
0 b a b 0 a
0 b a b 0 b
0 b a b 0 c
0 b a c 0 0
0 b a c 0 a
0 b a c 0 b
0 b a c 0 c
0 b b 0 0 0
0 b b 0 0 a
0 b b 0 0 b
0 b b 0 0 c
0 b b a 0 0
0 b b a 0 a
0 b b a 0 b
0 b b a 0 c
0 b b b 0 0
0 b b b 0 a
0 b b b 0 b
0 b b b 0 c
0 b b c 0 0
0 b b c 0 a
0 b b c 0 b
0 b b c 0 c
0 b c 0 0 0
0 b c 0 0 a
0 b c 0 0 b
0 b c 0 0 c
0 b c a 0 0
0 b c a 0 a
0 b c a 0 b
0 b c a 0 c
0 b c b 0 0
0 b c b 0 a
0 b c b 0 b
0 b c b 0 c
0 b c c 0 0
0 b c c 0 a
0 b c c 0 b
0 b c c 0 c
0 c 0 0 0 0
0 c 0 0 0 a
0 c 0 0 0 b
0 c 0 0 0 c
0 c 0 a 0 0
0 c 0 a 0 a
0 c 0 a 0 b
0 c 0 a 0 c
0 c 0 b 0 0
0 c 0 b 0 a
0 c 0 b 0 b
0 c 0 b 0 c
0 c 0 c 0 0
0 c 0 c 0 a
0 c 0 c 0 b
0 c 0 c 0 c
0 c a 0 0 0
0 c a 0 0 a
0 c a 0 0 b
0 c a 0 0 c
0 c a a 0 0
0 c a a 0 a
0 c a a 0 b
0 c a a 0 c
0 c a b 0 0
0 c a b 0 a
0 c a b 0 b
0 c a b 0 c
0 c a c 0 0
0 c a c 0 a
0 c a c 0 b
0 c a c 0 c
0 c b 0 0 0
0 c b 0 0 a
0 c b 0 0 b
0 c b 0 0 c
0 c b a 0 0
0 c b a 0 a
0 c b a 0 b
0 c b a 0 c
0 c b b 0 0
0 c b b 0 a
0 c b b 0 b
0 c b b 0 c
0 c b c 0 0
0 c b c 0 a
0 c b c 0 b
0 c b c 0 c
0 c c 0 0 0
0 c c 0 0 a
0 c c 0 0 b
0 c c 0 0 c
0 c c a 0 0
0 c c a 0 a
0 c c a 0 b
0 c c a 0 c
0 c c b 0 0
0 c c b 0 a
0 c c b 0 b
0 c c b 0 c
0 c c c 0 0
0 c c c 0 a
0 c c c 0 b
0 c c c 0 c
Is it a nice code?: No
Generator Matrix-46
a 0 0 0 a 0
b 0 0 0 b 0
0 c 0 0 0 c
0 0 c 0 0 c
0 0 0 c 0 0
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 0
0 0 0 c c c
0 0 c 0 0 c
0 0 c 0 c 0
0 0 c c 0 c
0 0 c c c 0
0 c 0 0 0 c
0 c 0 0 c 0
0 c 0 c 0 c
0 c 0 c c 0
0 c c 0 0 0
0 c c 0 c c
0 c c c 0 0
0 c c c c c
b 0 0 0 b 0
b 0 0 0 a c
b 0 0 c b 0
b 0 0 c a c
b 0 c 0 b c
b 0 c 0 a 0
b 0 c c b c
b 0 c c a 0
b c 0 0 b c
b c 0 0 a 0
b c 0 c b c
b c 0 c a 0
b c c 0 b 0
b c c 0 a c
b c c c b 0
b c c c a c
a 0 0 0 a 0
a 0 0 0 b c
a 0 0 c a 0
a 0 0 c b c
a 0 c 0 a c
a 0 c 0 b 0
a 0 c c a c
a 0 c c b 0
a c 0 0 a c
a c 0 0 b 0
a c 0 c a c
a c 0 c b 0
a c c 0 a 0
a c c 0 b c
a c c c a 0
a c c c b c
c 0 0 0 c 0
c 0 0 0 0 c
c 0 0 c c 0
c 0 0 c 0 c
c 0 c 0 c c
c 0 c 0 0 0
c 0 c c c c
c 0 c c 0 0
c c 0 0 c c
c c 0 0 0 0
c c 0 c c c
c c 0 c 0 0
c c c 0 c 0
c c c 0 0 c
c c c c c 0
c c c c 0 c
dmin: 1
Weight Enumerator: 1x0 + 1x1 + 12x2 + 18x3 + 17x4 + 13x5 + 2x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)4 (X_b)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)3 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_b)2 (X_c)3 + (X_a)1 (X_b)1 (X_c)4 + (X_0)4 (X_a)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)3 (X_a)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)2 (X_c)3 + (X_a)1 (X_b)1 (X_c)4 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 a a 0 0
0 0 a a 0 a
0 0 a a 0 b
0 0 a a 0 c
0 0 a b 0 0
0 0 a b 0 a
0 0 a b 0 b
0 0 a b 0 c
0 0 a c 0 0
0 0 a c 0 a
0 0 a c 0 b
0 0 a c 0 c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 b a 0 0
0 0 b a 0 a
0 0 b a 0 b
0 0 b a 0 c
0 0 b b 0 0
0 0 b b 0 a
0 0 b b 0 b
0 0 b b 0 c
0 0 b c 0 0
0 0 b c 0 a
0 0 b c 0 b
0 0 b c 0 c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c
0 0 c a 0 0
0 0 c a 0 a
0 0 c a 0 b
0 0 c a 0 c
0 0 c b 0 0
0 0 c b 0 a
0 0 c b 0 b
0 0 c b 0 c
0 0 c c 0 0
0 0 c c 0 a
0 0 c c 0 b
0 0 c c 0 c
0 a 0 0 0 0
0 a 0 0 0 a
0 a 0 0 0 b
0 a 0 0 0 c
0 a 0 a 0 0
0 a 0 a 0 a
0 a 0 a 0 b
0 a 0 a 0 c
0 a 0 b 0 0
0 a 0 b 0 a
0 a 0 b 0 b
0 a 0 b 0 c
0 a 0 c 0 0
0 a 0 c 0 a
0 a 0 c 0 b
0 a 0 c 0 c
0 a a 0 0 0
0 a a 0 0 a
0 a a 0 0 b
0 a a 0 0 c
0 a a a 0 0
0 a a a 0 a
0 a a a 0 b
0 a a a 0 c
0 a a b 0 0
0 a a b 0 a
0 a a b 0 b
0 a a b 0 c
0 a a c 0 0
0 a a c 0 a
0 a a c 0 b
0 a a c 0 c
0 a b 0 0 0
0 a b 0 0 a
0 a b 0 0 b
0 a b 0 0 c
0 a b a 0 0
0 a b a 0 a
0 a b a 0 b
0 a b a 0 c
0 a b b 0 0
0 a b b 0 a
0 a b b 0 b
0 a b b 0 c
0 a b c 0 0
0 a b c 0 a
0 a b c 0 b
0 a b c 0 c
0 a c 0 0 0
0 a c 0 0 a
0 a c 0 0 b
0 a c 0 0 c
0 a c a 0 0
0 a c a 0 a
0 a c a 0 b
0 a c a 0 c
0 a c b 0 0
0 a c b 0 a
0 a c b 0 b
0 a c b 0 c
0 a c c 0 0
0 a c c 0 a
0 a c c 0 b
0 a c c 0 c
0 b 0 0 0 0
0 b 0 0 0 a
0 b 0 0 0 b
0 b 0 0 0 c
0 b 0 a 0 0
0 b 0 a 0 a
0 b 0 a 0 b
0 b 0 a 0 c
0 b 0 b 0 0
0 b 0 b 0 a
0 b 0 b 0 b
0 b 0 b 0 c
0 b 0 c 0 0
0 b 0 c 0 a
0 b 0 c 0 b
0 b 0 c 0 c
0 b a 0 0 0
0 b a 0 0 a
0 b a 0 0 b
0 b a 0 0 c
0 b a a 0 0
0 b a a 0 a
0 b a a 0 b
0 b a a 0 c
0 b a b 0 0
0 b a b 0 a
0 b a b 0 b
0 b a b 0 c
0 b a c 0 0
0 b a c 0 a
0 b a c 0 b
0 b a c 0 c
0 b b 0 0 0
0 b b 0 0 a
0 b b 0 0 b
0 b b 0 0 c
0 b b a 0 0
0 b b a 0 a
0 b b a 0 b
0 b b a 0 c
0 b b b 0 0
0 b b b 0 a
0 b b b 0 b
0 b b b 0 c
0 b b c 0 0
0 b b c 0 a
0 b b c 0 b
0 b b c 0 c
0 b c 0 0 0
0 b c 0 0 a
0 b c 0 0 b
0 b c 0 0 c
0 b c a 0 0
0 b c a 0 a
0 b c a 0 b
0 b c a 0 c
0 b c b 0 0
0 b c b 0 a
0 b c b 0 b
0 b c b 0 c
0 b c c 0 0
0 b c c 0 a
0 b c c 0 b
0 b c c 0 c
0 c 0 0 0 0
0 c 0 0 0 a
0 c 0 0 0 b
0 c 0 0 0 c
0 c 0 a 0 0
0 c 0 a 0 a
0 c 0 a 0 b
0 c 0 a 0 c
0 c 0 b 0 0
0 c 0 b 0 a
0 c 0 b 0 b
0 c 0 b 0 c
0 c 0 c 0 0
0 c 0 c 0 a
0 c 0 c 0 b
0 c 0 c 0 c
0 c a 0 0 0
0 c a 0 0 a
0 c a 0 0 b
0 c a 0 0 c
0 c a a 0 0
0 c a a 0 a
0 c a a 0 b
0 c a a 0 c
0 c a b 0 0
0 c a b 0 a
0 c a b 0 b
0 c a b 0 c
0 c a c 0 0
0 c a c 0 a
0 c a c 0 b
0 c a c 0 c
0 c b 0 0 0
0 c b 0 0 a
0 c b 0 0 b
0 c b 0 0 c
0 c b a 0 0
0 c b a 0 a
0 c b a 0 b
0 c b a 0 c
0 c b b 0 0
0 c b b 0 a
0 c b b 0 b
0 c b b 0 c
0 c b c 0 0
0 c b c 0 a
0 c b c 0 b
0 c b c 0 c
0 c c 0 0 0
0 c c 0 0 a
0 c c 0 0 b
0 c c 0 0 c
0 c c a 0 0
0 c c a 0 a
0 c c a 0 b
0 c c a 0 c
0 c c b 0 0
0 c c b 0 a
0 c c b 0 b
0 c c b 0 c
0 c c c 0 0
0 c c c 0 a
0 c c c 0 b
0 c c c 0 c
Is it a nice code?: No
Generator Matrix-47
a 0 0 0 a 0
b 0 0 0 b 0
0 c 0 0 0 c
0 0 c 0 0 c
0 0 0 c 0 c
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 c
0 0 0 c c c
0 0 c 0 0 c
0 0 c 0 c c
0 0 c c 0 0
0 0 c c c 0
0 c 0 0 0 c
0 c 0 0 c c
0 c 0 c 0 0
0 c 0 c c 0
0 c c 0 0 0
0 c c 0 c 0
0 c c c 0 c
0 c c c c c
b 0 0 0 b 0
b 0 0 0 a 0
b 0 0 c b c
b 0 0 c a c
b 0 c 0 b c
b 0 c 0 a c
b 0 c c b 0
b 0 c c a 0
b c 0 0 b c
b c 0 0 a c
b c 0 c b 0
b c 0 c a 0
b c c 0 b 0
b c c 0 a 0
b c c c b c
b c c c a c
a 0 0 0 a 0
a 0 0 0 b 0
a 0 0 c a c
a 0 0 c b c
a 0 c 0 a c
a 0 c 0 b c
a 0 c c a 0
a 0 c c b 0
a c 0 0 a c
a c 0 0 b c
a c 0 c a 0
a c 0 c b 0
a c c 0 a 0
a c c 0 b 0
a c c c a c
a c c c b c
c 0 0 0 c 0
c 0 0 0 0 0
c 0 0 c c c
c 0 0 c 0 c
c 0 c 0 c c
c 0 c 0 0 c
c 0 c c c 0
c 0 c c 0 0
c c 0 0 c c
c c 0 0 0 c
c c 0 c c 0
c c 0 c 0 0
c c c 0 c 0
c c c 0 0 0
c c c c c c
c c c c 0 c
dmin: 1
Weight Enumerator: 1x0 + 2x1 + 11x2 + 12x3 + 31x4 + 2x5 + 5x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)4 (X_b)2 + (X_0)4 (X_a)1 (X_b)1 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_b)2 (X_c)4 + (X_a)1 (X_b)1 (X_c)4 + (X_0)4 (X_a)2 + (X_0)4 (X_a)1 (X_b)1 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_a)2 (X_c)4 + (X_a)1 (X_b)1 (X_c)4 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_c)6 + (X_0)1 (X_c)5
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 a a 0 0
0 0 a a 0 a
0 0 a a 0 b
0 0 a a 0 c
0 0 a b 0 0
0 0 a b 0 a
0 0 a b 0 b
0 0 a b 0 c
0 0 a c 0 0
0 0 a c 0 a
0 0 a c 0 b
0 0 a c 0 c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 b a 0 0
0 0 b a 0 a
0 0 b a 0 b
0 0 b a 0 c
0 0 b b 0 0
0 0 b b 0 a
0 0 b b 0 b
0 0 b b 0 c
0 0 b c 0 0
0 0 b c 0 a
0 0 b c 0 b
0 0 b c 0 c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c
0 0 c a 0 0
0 0 c a 0 a
0 0 c a 0 b
0 0 c a 0 c
0 0 c b 0 0
0 0 c b 0 a
0 0 c b 0 b
0 0 c b 0 c
0 0 c c 0 0
0 0 c c 0 a
0 0 c c 0 b
0 0 c c 0 c
0 a 0 0 0 0
0 a 0 0 0 a
0 a 0 0 0 b
0 a 0 0 0 c
0 a 0 a 0 0
0 a 0 a 0 a
0 a 0 a 0 b
0 a 0 a 0 c
0 a 0 b 0 0
0 a 0 b 0 a
0 a 0 b 0 b
0 a 0 b 0 c
0 a 0 c 0 0
0 a 0 c 0 a
0 a 0 c 0 b
0 a 0 c 0 c
0 a a 0 0 0
0 a a 0 0 a
0 a a 0 0 b
0 a a 0 0 c
0 a a a 0 0
0 a a a 0 a
0 a a a 0 b
0 a a a 0 c
0 a a b 0 0
0 a a b 0 a
0 a a b 0 b
0 a a b 0 c
0 a a c 0 0
0 a a c 0 a
0 a a c 0 b
0 a a c 0 c
0 a b 0 0 0
0 a b 0 0 a
0 a b 0 0 b
0 a b 0 0 c
0 a b a 0 0
0 a b a 0 a
0 a b a 0 b
0 a b a 0 c
0 a b b 0 0
0 a b b 0 a
0 a b b 0 b
0 a b b 0 c
0 a b c 0 0
0 a b c 0 a
0 a b c 0 b
0 a b c 0 c
0 a c 0 0 0
0 a c 0 0 a
0 a c 0 0 b
0 a c 0 0 c
0 a c a 0 0
0 a c a 0 a
0 a c a 0 b
0 a c a 0 c
0 a c b 0 0
0 a c b 0 a
0 a c b 0 b
0 a c b 0 c
0 a c c 0 0
0 a c c 0 a
0 a c c 0 b
0 a c c 0 c
0 b 0 0 0 0
0 b 0 0 0 a
0 b 0 0 0 b
0 b 0 0 0 c
0 b 0 a 0 0
0 b 0 a 0 a
0 b 0 a 0 b
0 b 0 a 0 c
0 b 0 b 0 0
0 b 0 b 0 a
0 b 0 b 0 b
0 b 0 b 0 c
0 b 0 c 0 0
0 b 0 c 0 a
0 b 0 c 0 b
0 b 0 c 0 c
0 b a 0 0 0
0 b a 0 0 a
0 b a 0 0 b
0 b a 0 0 c
0 b a a 0 0
0 b a a 0 a
0 b a a 0 b
0 b a a 0 c
0 b a b 0 0
0 b a b 0 a
0 b a b 0 b
0 b a b 0 c
0 b a c 0 0
0 b a c 0 a
0 b a c 0 b
0 b a c 0 c
0 b b 0 0 0
0 b b 0 0 a
0 b b 0 0 b
0 b b 0 0 c
0 b b a 0 0
0 b b a 0 a
0 b b a 0 b
0 b b a 0 c
0 b b b 0 0
0 b b b 0 a
0 b b b 0 b
0 b b b 0 c
0 b b c 0 0
0 b b c 0 a
0 b b c 0 b
0 b b c 0 c
0 b c 0 0 0
0 b c 0 0 a
0 b c 0 0 b
0 b c 0 0 c
0 b c a 0 0
0 b c a 0 a
0 b c a 0 b
0 b c a 0 c
0 b c b 0 0
0 b c b 0 a
0 b c b 0 b
0 b c b 0 c
0 b c c 0 0
0 b c c 0 a
0 b c c 0 b
0 b c c 0 c
0 c 0 0 0 0
0 c 0 0 0 a
0 c 0 0 0 b
0 c 0 0 0 c
0 c 0 a 0 0
0 c 0 a 0 a
0 c 0 a 0 b
0 c 0 a 0 c
0 c 0 b 0 0
0 c 0 b 0 a
0 c 0 b 0 b
0 c 0 b 0 c
0 c 0 c 0 0
0 c 0 c 0 a
0 c 0 c 0 b
0 c 0 c 0 c
0 c a 0 0 0
0 c a 0 0 a
0 c a 0 0 b
0 c a 0 0 c
0 c a a 0 0
0 c a a 0 a
0 c a a 0 b
0 c a a 0 c
0 c a b 0 0
0 c a b 0 a
0 c a b 0 b
0 c a b 0 c
0 c a c 0 0
0 c a c 0 a
0 c a c 0 b
0 c a c 0 c
0 c b 0 0 0
0 c b 0 0 a
0 c b 0 0 b
0 c b 0 0 c
0 c b a 0 0
0 c b a 0 a
0 c b a 0 b
0 c b a 0 c
0 c b b 0 0
0 c b b 0 a
0 c b b 0 b
0 c b b 0 c
0 c b c 0 0
0 c b c 0 a
0 c b c 0 b
0 c b c 0 c
0 c c 0 0 0
0 c c 0 0 a
0 c c 0 0 b
0 c c 0 0 c
0 c c a 0 0
0 c c a 0 a
0 c c a 0 b
0 c c a 0 c
0 c c b 0 0
0 c c b 0 a
0 c c b 0 b
0 c c b 0 c
0 c c c 0 0
0 c c c 0 a
0 c c c 0 b
0 c c c 0 c
Is it a nice code?: No
Generator Matrix-48
a 0 0 0 a 0
b 0 0 0 b 0
0 c 0 0 0 c
0 0 c 0 0 c
0 0 0 c 0 c
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 c
0 0 0 c c 0
0 0 c 0 0 c
0 0 c 0 c 0
0 0 c c 0 0
0 0 c c c c
0 c 0 0 0 c
0 c 0 0 c 0
0 c 0 c 0 0
0 c 0 c c c
0 c c 0 0 0
0 c c 0 c c
0 c c c 0 c
0 c c c c 0
b 0 0 0 b 0
b 0 0 0 a c
b 0 0 c b c
b 0 0 c a 0
b 0 c 0 b c
b 0 c 0 a 0
b 0 c c b 0
b 0 c c a c
b c 0 0 b c
b c 0 0 a 0
b c 0 c b 0
b c 0 c a c
b c c 0 b 0
b c c 0 a c
b c c c b c
b c c c a 0
a 0 0 0 a 0
a 0 0 0 b c
a 0 0 c a c
a 0 0 c b 0
a 0 c 0 a c
a 0 c 0 b 0
a 0 c c a 0
a 0 c c b c
a c 0 0 a c
a c 0 0 b 0
a c 0 c a 0
a c 0 c b c
a c c 0 a 0
a c c 0 b c
a c c c a c
a c c c b 0
c 0 0 0 c 0
c 0 0 0 0 c
c 0 0 c c c
c 0 0 c 0 0
c 0 c 0 c c
c 0 c 0 0 0
c 0 c c c 0
c 0 c c 0 c
c c 0 0 c c
c c 0 0 0 0
c c 0 c c 0
c c 0 c 0 c
c c c 0 c 0
c c c 0 0 c
c c c c c c
c c c c 0 0
dmin: 2
Weight Enumerator: 1x0 + 0x1 + 17x2 + 8x3 + 27x4 + 8x5 + 3x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)4 (X_b)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_b)2 (X_c)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_b)2 (X_c)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_b)2 (X_c)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_b)2 (X_c)4 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_a)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_c)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_c)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)2 (X_c)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_a)2 (X_c)4 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_c)6 + (X_0)2 (X_c)4
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 a a 0 0
0 0 a a 0 a
0 0 a a 0 b
0 0 a a 0 c
0 0 a b 0 0
0 0 a b 0 a
0 0 a b 0 b
0 0 a b 0 c
0 0 a c 0 0
0 0 a c 0 a
0 0 a c 0 b
0 0 a c 0 c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 b a 0 0
0 0 b a 0 a
0 0 b a 0 b
0 0 b a 0 c
0 0 b b 0 0
0 0 b b 0 a
0 0 b b 0 b
0 0 b b 0 c
0 0 b c 0 0
0 0 b c 0 a
0 0 b c 0 b
0 0 b c 0 c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c
0 0 c a 0 0
0 0 c a 0 a
0 0 c a 0 b
0 0 c a 0 c
0 0 c b 0 0
0 0 c b 0 a
0 0 c b 0 b
0 0 c b 0 c
0 0 c c 0 0
0 0 c c 0 a
0 0 c c 0 b
0 0 c c 0 c
0 a 0 0 0 0
0 a 0 0 0 a
0 a 0 0 0 b
0 a 0 0 0 c
0 a 0 a 0 0
0 a 0 a 0 a
0 a 0 a 0 b
0 a 0 a 0 c
0 a 0 b 0 0
0 a 0 b 0 a
0 a 0 b 0 b
0 a 0 b 0 c
0 a 0 c 0 0
0 a 0 c 0 a
0 a 0 c 0 b
0 a 0 c 0 c
0 a a 0 0 0
0 a a 0 0 a
0 a a 0 0 b
0 a a 0 0 c
0 a a a 0 0
0 a a a 0 a
0 a a a 0 b
0 a a a 0 c
0 a a b 0 0
0 a a b 0 a
0 a a b 0 b
0 a a b 0 c
0 a a c 0 0
0 a a c 0 a
0 a a c 0 b
0 a a c 0 c
0 a b 0 0 0
0 a b 0 0 a
0 a b 0 0 b
0 a b 0 0 c
0 a b a 0 0
0 a b a 0 a
0 a b a 0 b
0 a b a 0 c
0 a b b 0 0
0 a b b 0 a
0 a b b 0 b
0 a b b 0 c
0 a b c 0 0
0 a b c 0 a
0 a b c 0 b
0 a b c 0 c
0 a c 0 0 0
0 a c 0 0 a
0 a c 0 0 b
0 a c 0 0 c
0 a c a 0 0
0 a c a 0 a
0 a c a 0 b
0 a c a 0 c
0 a c b 0 0
0 a c b 0 a
0 a c b 0 b
0 a c b 0 c
0 a c c 0 0
0 a c c 0 a
0 a c c 0 b
0 a c c 0 c
0 b 0 0 0 0
0 b 0 0 0 a
0 b 0 0 0 b
0 b 0 0 0 c
0 b 0 a 0 0
0 b 0 a 0 a
0 b 0 a 0 b
0 b 0 a 0 c
0 b 0 b 0 0
0 b 0 b 0 a
0 b 0 b 0 b
0 b 0 b 0 c
0 b 0 c 0 0
0 b 0 c 0 a
0 b 0 c 0 b
0 b 0 c 0 c
0 b a 0 0 0
0 b a 0 0 a
0 b a 0 0 b
0 b a 0 0 c
0 b a a 0 0
0 b a a 0 a
0 b a a 0 b
0 b a a 0 c
0 b a b 0 0
0 b a b 0 a
0 b a b 0 b
0 b a b 0 c
0 b a c 0 0
0 b a c 0 a
0 b a c 0 b
0 b a c 0 c
0 b b 0 0 0
0 b b 0 0 a
0 b b 0 0 b
0 b b 0 0 c
0 b b a 0 0
0 b b a 0 a
0 b b a 0 b
0 b b a 0 c
0 b b b 0 0
0 b b b 0 a
0 b b b 0 b
0 b b b 0 c
0 b b c 0 0
0 b b c 0 a
0 b b c 0 b
0 b b c 0 c
0 b c 0 0 0
0 b c 0 0 a
0 b c 0 0 b
0 b c 0 0 c
0 b c a 0 0
0 b c a 0 a
0 b c a 0 b
0 b c a 0 c
0 b c b 0 0
0 b c b 0 a
0 b c b 0 b
0 b c b 0 c
0 b c c 0 0
0 b c c 0 a
0 b c c 0 b
0 b c c 0 c
0 c 0 0 0 0
0 c 0 0 0 a
0 c 0 0 0 b
0 c 0 0 0 c
0 c 0 a 0 0
0 c 0 a 0 a
0 c 0 a 0 b
0 c 0 a 0 c
0 c 0 b 0 0
0 c 0 b 0 a
0 c 0 b 0 b
0 c 0 b 0 c
0 c 0 c 0 0
0 c 0 c 0 a
0 c 0 c 0 b
0 c 0 c 0 c
0 c a 0 0 0
0 c a 0 0 a
0 c a 0 0 b
0 c a 0 0 c
0 c a a 0 0
0 c a a 0 a
0 c a a 0 b
0 c a a 0 c
0 c a b 0 0
0 c a b 0 a
0 c a b 0 b
0 c a b 0 c
0 c a c 0 0
0 c a c 0 a
0 c a c 0 b
0 c a c 0 c
0 c b 0 0 0
0 c b 0 0 a
0 c b 0 0 b
0 c b 0 0 c
0 c b a 0 0
0 c b a 0 a
0 c b a 0 b
0 c b a 0 c
0 c b b 0 0
0 c b b 0 a
0 c b b 0 b
0 c b b 0 c
0 c b c 0 0
0 c b c 0 a
0 c b c 0 b
0 c b c 0 c
0 c c 0 0 0
0 c c 0 0 a
0 c c 0 0 b
0 c c 0 0 c
0 c c a 0 0
0 c c a 0 a
0 c c a 0 b
0 c c a 0 c
0 c c b 0 0
0 c c b 0 a
0 c c b 0 b
0 c c b 0 c
0 c c c 0 0
0 c c c 0 a
0 c c c 0 b
0 c c c 0 c
Is it a nice code?: No
Generator Matrix-49
a 0 0 0 a a
b 0 0 0 b b
0 c 0 0 0 0
0 0 c 0 0 0
0 0 0 c 0 0
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 0
0 0 0 c c 0
0 0 c 0 0 0
0 0 c 0 c 0
0 0 c c 0 0
0 0 c c c 0
0 c 0 0 0 0
0 c 0 0 c 0
0 c 0 c 0 0
0 c 0 c c 0
0 c c 0 0 0
0 c c 0 c 0
0 c c c 0 0
0 c c c c 0
b 0 0 0 b b
b 0 0 0 a b
b 0 0 c b b
b 0 0 c a b
b 0 c 0 b b
b 0 c 0 a b
b 0 c c b b
b 0 c c a b
b c 0 0 b b
b c 0 0 a b
b c 0 c b b
b c 0 c a b
b c c 0 b b
b c c 0 a b
b c c c b b
b c c c a b
a 0 0 0 a a
a 0 0 0 b a
a 0 0 c a a
a 0 0 c b a
a 0 c 0 a a
a 0 c 0 b a
a 0 c c a a
a 0 c c b a
a c 0 0 a a
a c 0 0 b a
a c 0 c a a
a c 0 c b a
a c c 0 a a
a c c 0 b a
a c c c a a
a c c c b a
c 0 0 0 c c
c 0 0 0 0 c
c 0 0 c c c
c 0 0 c 0 c
c 0 c 0 c c
c 0 c 0 0 c
c 0 c c c c
c 0 c c 0 c
c c 0 0 c c
c c 0 0 0 c
c c 0 c c c
c c 0 c 0 c
c c c 0 c c
c c c 0 0 c
c c c c c c
c c c c 0 c
dmin: 1
Weight Enumerator: 1x0 + 4x1 + 7x2 + 12x3 + 19x4 + 16x5 + 5x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_b)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)2 (X_b)3 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_b)3 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_b)3 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_b)3 (X_c)3 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)2 (X_a)3 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)3 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)3 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)3 (X_c)3 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_c)6 + (X_0)1 (X_c)5
Dual Codewords:
0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0
0 0 a 0 0 0
0 0 a a 0 0
0 0 a b 0 0
0 0 a c 0 0
0 0 b 0 0 0
0 0 b a 0 0
0 0 b b 0 0
0 0 b c 0 0
0 0 c 0 0 0
0 0 c a 0 0
0 0 c b 0 0
0 0 c c 0 0
0 a 0 0 0 0
0 a 0 a 0 0
0 a 0 b 0 0
0 a 0 c 0 0
0 a a 0 0 0
0 a a a 0 0
0 a a b 0 0
0 a a c 0 0
0 a b 0 0 0
0 a b a 0 0
0 a b b 0 0
0 a b c 0 0
0 a c 0 0 0
0 a c a 0 0
0 a c b 0 0
0 a c c 0 0
0 b 0 0 0 0
0 b 0 a 0 0
0 b 0 b 0 0
0 b 0 c 0 0
0 b a 0 0 0
0 b a a 0 0
0 b a b 0 0
0 b a c 0 0
0 b b 0 0 0
0 b b a 0 0
0 b b b 0 0
0 b b c 0 0
0 b c 0 0 0
0 b c a 0 0
0 b c b 0 0
0 b c c 0 0
0 c 0 0 0 0
0 c 0 a 0 0
0 c 0 b 0 0
0 c 0 c 0 0
0 c a 0 0 0
0 c a a 0 0
0 c a b 0 0
0 c a c 0 0
0 c b 0 0 0
0 c b a 0 0
0 c b b 0 0
0 c b c 0 0
0 c c 0 0 0
0 c c a 0 0
0 c c b 0 0
0 c c c 0 0
Is it a nice code?: Yes
Generator Matrix-50
a 0 0 0 a a
b 0 0 0 b b
0 c 0 0 0 0
0 0 c 0 0 0
0 0 0 c 0 0
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 0
0 0 0 c c c
0 0 c 0 0 0
0 0 c 0 c c
0 0 c c 0 0
0 0 c c c c
0 c 0 0 0 0
0 c 0 0 c c
0 c 0 c 0 0
0 c 0 c c c
0 c c 0 0 0
0 c c 0 c c
0 c c c 0 0
0 c c c c c
b 0 0 0 b b
b 0 0 0 a a
b 0 0 c b b
b 0 0 c a a
b 0 c 0 b b
b 0 c 0 a a
b 0 c c b b
b 0 c c a a
b c 0 0 b b
b c 0 0 a a
b c 0 c b b
b c 0 c a a
b c c 0 b b
b c c 0 a a
b c c c b b
b c c c a a
a 0 0 0 a a
a 0 0 0 b b
a 0 0 c a a
a 0 0 c b b
a 0 c 0 a a
a 0 c 0 b b
a 0 c c a a
a 0 c c b b
a c 0 0 a a
a c 0 0 b b
a c 0 c a a
a c 0 c b b
a c c 0 a a
a c c 0 b b
a c c c a a
a c c c b b
c 0 0 0 c c
c 0 0 0 0 0
c 0 0 c c c
c 0 0 c 0 0
c 0 c 0 c c
c 0 c 0 0 0
c 0 c c c c
c 0 c c 0 0
c c 0 0 c c
c c 0 0 0 0
c c 0 c c c
c c 0 c 0 0
c c c 0 c c
c c c 0 0 0
c c c c c c
c c c c 0 0
dmin: 1
Weight Enumerator: 1x0 + 4x1 + 7x2 + 12x3 + 19x4 + 16x5 + 5x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)3 (X_b)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)2 (X_b)3 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_b)3 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_b)3 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_b)3 (X_c)3 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_a)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)2 (X_a)3 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)3 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)3 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)3 (X_c)3 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_c)6 + (X_0)2 (X_c)4
Dual Codewords:
0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0
0 0 a 0 0 0
0 0 a a 0 0
0 0 a b 0 0
0 0 a c 0 0
0 0 b 0 0 0
0 0 b a 0 0
0 0 b b 0 0
0 0 b c 0 0
0 0 c 0 0 0
0 0 c a 0 0
0 0 c b 0 0
0 0 c c 0 0
0 a 0 0 0 0
0 a 0 a 0 0
0 a 0 b 0 0
0 a 0 c 0 0
0 a a 0 0 0
0 a a a 0 0
0 a a b 0 0
0 a a c 0 0
0 a b 0 0 0
0 a b a 0 0
0 a b b 0 0
0 a b c 0 0
0 a c 0 0 0
0 a c a 0 0
0 a c b 0 0
0 a c c 0 0
0 b 0 0 0 0
0 b 0 a 0 0
0 b 0 b 0 0
0 b 0 c 0 0
0 b a 0 0 0
0 b a a 0 0
0 b a b 0 0
0 b a c 0 0
0 b b 0 0 0
0 b b a 0 0
0 b b b 0 0
0 b b c 0 0
0 b c 0 0 0
0 b c a 0 0
0 b c b 0 0
0 b c c 0 0
0 c 0 0 0 0
0 c 0 a 0 0
0 c 0 b 0 0
0 c 0 c 0 0
0 c a 0 0 0
0 c a a 0 0
0 c a b 0 0
0 c a c 0 0
0 c b 0 0 0
0 c b a 0 0
0 c b b 0 0
0 c b c 0 0
0 c c 0 0 0
0 c c a 0 0
0 c c b 0 0
0 c c c 0 0
Is it a nice code?: Yes
Generator Matrix-51
a 0 0 0 a a
b 0 0 0 b b
0 c 0 0 0 0
0 0 c 0 0 0
0 0 0 c 0 c
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 c
0 0 0 c c c
0 0 c 0 0 0
0 0 c 0 c 0
0 0 c c 0 c
0 0 c c c c
0 c 0 0 0 0
0 c 0 0 c 0
0 c 0 c 0 c
0 c 0 c c c
0 c c 0 0 0
0 c c 0 c 0
0 c c c 0 c
0 c c c c c
b 0 0 0 b b
b 0 0 0 a b
b 0 0 c b a
b 0 0 c a a
b 0 c 0 b b
b 0 c 0 a b
b 0 c c b a
b 0 c c a a
b c 0 0 b b
b c 0 0 a b
b c 0 c b a
b c 0 c a a
b c c 0 b b
b c c 0 a b
b c c c b a
b c c c a a
a 0 0 0 a a
a 0 0 0 b a
a 0 0 c a b
a 0 0 c b b
a 0 c 0 a a
a 0 c 0 b a
a 0 c c a b
a 0 c c b b
a c 0 0 a a
a c 0 0 b a
a c 0 c a b
a c 0 c b b
a c c 0 a a
a c c 0 b a
a c c c a b
a c c c b b
c 0 0 0 c c
c 0 0 0 0 c
c 0 0 c c 0
c 0 0 c 0 0
c 0 c 0 c c
c 0 c 0 0 c
c 0 c c c 0
c 0 c c 0 0
c c 0 0 c c
c c 0 0 0 c
c c 0 c c 0
c c 0 c 0 0
c c c 0 c c
c c c 0 0 c
c c c c c 0
c c c c 0 0
dmin: 1
Weight Enumerator: 1x0 + 3x1 + 6x2 + 14x3 + 21x4 + 15x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)3 (X_b)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_b)3 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_b)3 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_a)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)3 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)3 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4
Dual Codewords:
0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0
0 0 a 0 0 0
0 0 a a 0 0
0 0 a b 0 0
0 0 a c 0 0
0 0 b 0 0 0
0 0 b a 0 0
0 0 b b 0 0
0 0 b c 0 0
0 0 c 0 0 0
0 0 c a 0 0
0 0 c b 0 0
0 0 c c 0 0
0 a 0 0 0 0
0 a 0 a 0 0
0 a 0 b 0 0
0 a 0 c 0 0
0 a a 0 0 0
0 a a a 0 0
0 a a b 0 0
0 a a c 0 0
0 a b 0 0 0
0 a b a 0 0
0 a b b 0 0
0 a b c 0 0
0 a c 0 0 0
0 a c a 0 0
0 a c b 0 0
0 a c c 0 0
0 b 0 0 0 0
0 b 0 a 0 0
0 b 0 b 0 0
0 b 0 c 0 0
0 b a 0 0 0
0 b a a 0 0
0 b a b 0 0
0 b a c 0 0
0 b b 0 0 0
0 b b a 0 0
0 b b b 0 0
0 b b c 0 0
0 b c 0 0 0
0 b c a 0 0
0 b c b 0 0
0 b c c 0 0
0 c 0 0 0 0
0 c 0 a 0 0
0 c 0 b 0 0
0 c 0 c 0 0
0 c a 0 0 0
0 c a a 0 0
0 c a b 0 0
0 c a c 0 0
0 c b 0 0 0
0 c b a 0 0
0 c b b 0 0
0 c b c 0 0
0 c c 0 0 0
0 c c a 0 0
0 c c b 0 0
0 c c c 0 0
Is it a nice code?: Yes
Generator Matrix-52
a 0 0 0 a a
b 0 0 0 b b
0 c 0 0 0 0
0 0 c 0 0 0
0 0 0 c 0 c
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 c
0 0 0 c c 0
0 0 c 0 0 0
0 0 c 0 c c
0 0 c c 0 c
0 0 c c c 0
0 c 0 0 0 0
0 c 0 0 c c
0 c 0 c 0 c
0 c 0 c c 0
0 c c 0 0 0
0 c c 0 c c
0 c c c 0 c
0 c c c c 0
b 0 0 0 b b
b 0 0 0 a a
b 0 0 c b a
b 0 0 c a b
b 0 c 0 b b
b 0 c 0 a a
b 0 c c b a
b 0 c c a b
b c 0 0 b b
b c 0 0 a a
b c 0 c b a
b c 0 c a b
b c c 0 b b
b c c 0 a a
b c c c b a
b c c c a b
a 0 0 0 a a
a 0 0 0 b b
a 0 0 c a b
a 0 0 c b a
a 0 c 0 a a
a 0 c 0 b b
a 0 c c a b
a 0 c c b a
a c 0 0 a a
a c 0 0 b b
a c 0 c a b
a c 0 c b a
a c c 0 a a
a c c 0 b b
a c c c a b
a c c c b a
c 0 0 0 c c
c 0 0 0 0 0
c 0 0 c c 0
c 0 0 c 0 c
c 0 c 0 c c
c 0 c 0 0 0
c 0 c c c 0
c 0 c c 0 c
c c 0 0 c c
c c 0 0 0 0
c c 0 c c 0
c c 0 c 0 c
c c c 0 c c
c c c 0 0 0
c c c c c 0
c c c c 0 c
dmin: 1
Weight Enumerator: 1x0 + 3x1 + 6x2 + 14x3 + 21x4 + 15x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)3 (X_b)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_b)3 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_b)3 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)3 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)3 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5
Dual Codewords:
0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0
0 0 a 0 0 0
0 0 a a 0 0
0 0 a b 0 0
0 0 a c 0 0
0 0 b 0 0 0
0 0 b a 0 0
0 0 b b 0 0
0 0 b c 0 0
0 0 c 0 0 0
0 0 c a 0 0
0 0 c b 0 0
0 0 c c 0 0
0 a 0 0 0 0
0 a 0 a 0 0
0 a 0 b 0 0
0 a 0 c 0 0
0 a a 0 0 0
0 a a a 0 0
0 a a b 0 0
0 a a c 0 0
0 a b 0 0 0
0 a b a 0 0
0 a b b 0 0
0 a b c 0 0
0 a c 0 0 0
0 a c a 0 0
0 a c b 0 0
0 a c c 0 0
0 b 0 0 0 0
0 b 0 a 0 0
0 b 0 b 0 0
0 b 0 c 0 0
0 b a 0 0 0
0 b a a 0 0
0 b a b 0 0
0 b a c 0 0
0 b b 0 0 0
0 b b a 0 0
0 b b b 0 0
0 b b c 0 0
0 b c 0 0 0
0 b c a 0 0
0 b c b 0 0
0 b c c 0 0
0 c 0 0 0 0
0 c 0 a 0 0
0 c 0 b 0 0
0 c 0 c 0 0
0 c a 0 0 0
0 c a a 0 0
0 c a b 0 0
0 c a c 0 0
0 c b 0 0 0
0 c b a 0 0
0 c b b 0 0
0 c b c 0 0
0 c c 0 0 0
0 c c a 0 0
0 c c b 0 0
0 c c c 0 0
Is it a nice code?: Yes
Generator Matrix-53
a 0 0 0 a a
b 0 0 0 b b
0 c 0 0 0 0
0 0 c 0 0 c
0 0 0 c 0 0
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 0
0 0 0 c c 0
0 0 c 0 0 c
0 0 c 0 c c
0 0 c c 0 c
0 0 c c c c
0 c 0 0 0 0
0 c 0 0 c 0
0 c 0 c 0 0
0 c 0 c c 0
0 c c 0 0 c
0 c c 0 c c
0 c c c 0 c
0 c c c c c
b 0 0 0 b b
b 0 0 0 a b
b 0 0 c b b
b 0 0 c a b
b 0 c 0 b a
b 0 c 0 a a
b 0 c c b a
b 0 c c a a
b c 0 0 b b
b c 0 0 a b
b c 0 c b b
b c 0 c a b
b c c 0 b a
b c c 0 a a
b c c c b a
b c c c a a
a 0 0 0 a a
a 0 0 0 b a
a 0 0 c a a
a 0 0 c b a
a 0 c 0 a b
a 0 c 0 b b
a 0 c c a b
a 0 c c b b
a c 0 0 a a
a c 0 0 b a
a c 0 c a a
a c 0 c b a
a c c 0 a b
a c c 0 b b
a c c c a b
a c c c b b
c 0 0 0 c c
c 0 0 0 0 c
c 0 0 c c c
c 0 0 c 0 c
c 0 c 0 c 0
c 0 c 0 0 0
c 0 c c c 0
c 0 c c 0 0
c c 0 0 c c
c c 0 0 0 c
c c 0 c c c
c c 0 c 0 c
c c c 0 c 0
c c c 0 0 0
c c c c c 0
c c c c 0 0
dmin: 1
Weight Enumerator: 1x0 + 3x1 + 6x2 + 14x3 + 21x4 + 15x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)3 (X_b)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)2 (X_b)3 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_b)3 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_a)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)2 (X_a)3 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)3 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4
Dual Codewords:
0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0
0 0 a 0 0 0
0 0 a a 0 0
0 0 a b 0 0
0 0 a c 0 0
0 0 b 0 0 0
0 0 b a 0 0
0 0 b b 0 0
0 0 b c 0 0
0 0 c 0 0 0
0 0 c a 0 0
0 0 c b 0 0
0 0 c c 0 0
0 a 0 0 0 0
0 a 0 a 0 0
0 a 0 b 0 0
0 a 0 c 0 0
0 a a 0 0 0
0 a a a 0 0
0 a a b 0 0
0 a a c 0 0
0 a b 0 0 0
0 a b a 0 0
0 a b b 0 0
0 a b c 0 0
0 a c 0 0 0
0 a c a 0 0
0 a c b 0 0
0 a c c 0 0
0 b 0 0 0 0
0 b 0 a 0 0
0 b 0 b 0 0
0 b 0 c 0 0
0 b a 0 0 0
0 b a a 0 0
0 b a b 0 0
0 b a c 0 0
0 b b 0 0 0
0 b b a 0 0
0 b b b 0 0
0 b b c 0 0
0 b c 0 0 0
0 b c a 0 0
0 b c b 0 0
0 b c c 0 0
0 c 0 0 0 0
0 c 0 a 0 0
0 c 0 b 0 0
0 c 0 c 0 0
0 c a 0 0 0
0 c a a 0 0
0 c a b 0 0
0 c a c 0 0
0 c b 0 0 0
0 c b a 0 0
0 c b b 0 0
0 c b c 0 0
0 c c 0 0 0
0 c c a 0 0
0 c c b 0 0
0 c c c 0 0
Is it a nice code?: Yes
Generator Matrix-54
a 0 0 0 a a
b 0 0 0 b b
0 c 0 0 0 0
0 0 c 0 0 c
0 0 0 c 0 0
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 0
0 0 0 c c c
0 0 c 0 0 c
0 0 c 0 c 0
0 0 c c 0 c
0 0 c c c 0
0 c 0 0 0 0
0 c 0 0 c c
0 c 0 c 0 0
0 c 0 c c c
0 c c 0 0 c
0 c c 0 c 0
0 c c c 0 c
0 c c c c 0
b 0 0 0 b b
b 0 0 0 a a
b 0 0 c b b
b 0 0 c a a
b 0 c 0 b a
b 0 c 0 a b
b 0 c c b a
b 0 c c a b
b c 0 0 b b
b c 0 0 a a
b c 0 c b b
b c 0 c a a
b c c 0 b a
b c c 0 a b
b c c c b a
b c c c a b
a 0 0 0 a a
a 0 0 0 b b
a 0 0 c a a
a 0 0 c b b
a 0 c 0 a b
a 0 c 0 b a
a 0 c c a b
a 0 c c b a
a c 0 0 a a
a c 0 0 b b
a c 0 c a a
a c 0 c b b
a c c 0 a b
a c c 0 b a
a c c c a b
a c c c b a
c 0 0 0 c c
c 0 0 0 0 0
c 0 0 c c c
c 0 0 c 0 0
c 0 c 0 c 0
c 0 c 0 0 c
c 0 c c c 0
c 0 c c 0 c
c c 0 0 c c
c c 0 0 0 0
c c 0 c c c
c c 0 c 0 0
c c c 0 c 0
c c c 0 0 c
c c c c c 0
c c c c 0 c
dmin: 1
Weight Enumerator: 1x0 + 3x1 + 6x2 + 14x3 + 21x4 + 15x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)3 (X_b)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)2 (X_b)3 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_b)3 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)2 (X_a)3 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)3 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5
Dual Codewords:
0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0
0 0 a 0 0 0
0 0 a a 0 0
0 0 a b 0 0
0 0 a c 0 0
0 0 b 0 0 0
0 0 b a 0 0
0 0 b b 0 0
0 0 b c 0 0
0 0 c 0 0 0
0 0 c a 0 0
0 0 c b 0 0
0 0 c c 0 0
0 a 0 0 0 0
0 a 0 a 0 0
0 a 0 b 0 0
0 a 0 c 0 0
0 a a 0 0 0
0 a a a 0 0
0 a a b 0 0
0 a a c 0 0
0 a b 0 0 0
0 a b a 0 0
0 a b b 0 0
0 a b c 0 0
0 a c 0 0 0
0 a c a 0 0
0 a c b 0 0
0 a c c 0 0
0 b 0 0 0 0
0 b 0 a 0 0
0 b 0 b 0 0
0 b 0 c 0 0
0 b a 0 0 0
0 b a a 0 0
0 b a b 0 0
0 b a c 0 0
0 b b 0 0 0
0 b b a 0 0
0 b b b 0 0
0 b b c 0 0
0 b c 0 0 0
0 b c a 0 0
0 b c b 0 0
0 b c c 0 0
0 c 0 0 0 0
0 c 0 a 0 0
0 c 0 b 0 0
0 c 0 c 0 0
0 c a 0 0 0
0 c a a 0 0
0 c a b 0 0
0 c a c 0 0
0 c b 0 0 0
0 c b a 0 0
0 c b b 0 0
0 c b c 0 0
0 c c 0 0 0
0 c c a 0 0
0 c c b 0 0
0 c c c 0 0
Is it a nice code?: Yes
Generator Matrix-55
a 0 0 0 a a
b 0 0 0 b b
0 c 0 0 0 0
0 0 c 0 0 c
0 0 0 c 0 c
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 c
0 0 0 c c c
0 0 c 0 0 c
0 0 c 0 c c
0 0 c c 0 0
0 0 c c c 0
0 c 0 0 0 0
0 c 0 0 c 0
0 c 0 c 0 c
0 c 0 c c c
0 c c 0 0 c
0 c c 0 c c
0 c c c 0 0
0 c c c c 0
b 0 0 0 b b
b 0 0 0 a b
b 0 0 c b a
b 0 0 c a a
b 0 c 0 b a
b 0 c 0 a a
b 0 c c b b
b 0 c c a b
b c 0 0 b b
b c 0 0 a b
b c 0 c b a
b c 0 c a a
b c c 0 b a
b c c 0 a a
b c c c b b
b c c c a b
a 0 0 0 a a
a 0 0 0 b a
a 0 0 c a b
a 0 0 c b b
a 0 c 0 a b
a 0 c 0 b b
a 0 c c a a
a 0 c c b a
a c 0 0 a a
a c 0 0 b a
a c 0 c a b
a c 0 c b b
a c c 0 a b
a c c 0 b b
a c c c a a
a c c c b a
c 0 0 0 c c
c 0 0 0 0 c
c 0 0 c c 0
c 0 0 c 0 0
c 0 c 0 c 0
c 0 c 0 0 0
c 0 c c c c
c 0 c c 0 c
c c 0 0 c c
c c 0 0 0 c
c c 0 c c 0
c c 0 c 0 0
c c c 0 c 0
c c c 0 0 0
c c c c c c
c c c c 0 c
dmin: 1
Weight Enumerator: 1x0 + 2x1 + 7x2 + 16x3 + 19x4 + 14x5 + 5x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_b)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_b)3 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_b)3 (X_c)3 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)3 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)3 (X_c)3 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_c)6 + (X_0)1 (X_c)5
Dual Codewords:
0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0
0 0 a 0 0 0
0 0 a a 0 0
0 0 a b 0 0
0 0 a c 0 0
0 0 b 0 0 0
0 0 b a 0 0
0 0 b b 0 0
0 0 b c 0 0
0 0 c 0 0 0
0 0 c a 0 0
0 0 c b 0 0
0 0 c c 0 0
0 a 0 0 0 0
0 a 0 a 0 0
0 a 0 b 0 0
0 a 0 c 0 0
0 a a 0 0 0
0 a a a 0 0
0 a a b 0 0
0 a a c 0 0
0 a b 0 0 0
0 a b a 0 0
0 a b b 0 0
0 a b c 0 0
0 a c 0 0 0
0 a c a 0 0
0 a c b 0 0
0 a c c 0 0
0 b 0 0 0 0
0 b 0 a 0 0
0 b 0 b 0 0
0 b 0 c 0 0
0 b a 0 0 0
0 b a a 0 0
0 b a b 0 0
0 b a c 0 0
0 b b 0 0 0
0 b b a 0 0
0 b b b 0 0
0 b b c 0 0
0 b c 0 0 0
0 b c a 0 0
0 b c b 0 0
0 b c c 0 0
0 c 0 0 0 0
0 c 0 a 0 0
0 c 0 b 0 0
0 c 0 c 0 0
0 c a 0 0 0
0 c a a 0 0
0 c a b 0 0
0 c a c 0 0
0 c b 0 0 0
0 c b a 0 0
0 c b b 0 0
0 c b c 0 0
0 c c 0 0 0
0 c c a 0 0
0 c c b 0 0
0 c c c 0 0
Is it a nice code?: Yes
Generator Matrix-56
a 0 0 0 a a
b 0 0 0 b b
0 c 0 0 0 0
0 0 c 0 0 c
0 0 0 c 0 c
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 c
0 0 0 c c 0
0 0 c 0 0 c
0 0 c 0 c 0
0 0 c c 0 0
0 0 c c c c
0 c 0 0 0 0
0 c 0 0 c c
0 c 0 c 0 c
0 c 0 c c 0
0 c c 0 0 c
0 c c 0 c 0
0 c c c 0 0
0 c c c c c
b 0 0 0 b b
b 0 0 0 a a
b 0 0 c b a
b 0 0 c a b
b 0 c 0 b a
b 0 c 0 a b
b 0 c c b b
b 0 c c a a
b c 0 0 b b
b c 0 0 a a
b c 0 c b a
b c 0 c a b
b c c 0 b a
b c c 0 a b
b c c c b b
b c c c a a
a 0 0 0 a a
a 0 0 0 b b
a 0 0 c a b
a 0 0 c b a
a 0 c 0 a b
a 0 c 0 b a
a 0 c c a a
a 0 c c b b
a c 0 0 a a
a c 0 0 b b
a c 0 c a b
a c 0 c b a
a c c 0 a b
a c c 0 b a
a c c c a a
a c c c b b
c 0 0 0 c c
c 0 0 0 0 0
c 0 0 c c 0
c 0 0 c 0 c
c 0 c 0 c 0
c 0 c 0 0 c
c 0 c c c c
c 0 c c 0 0
c c 0 0 c c
c c 0 0 0 0
c c 0 c c 0
c c 0 c 0 c
c c c 0 c 0
c c c 0 0 c
c c c c c c
c c c c 0 0
dmin: 1
Weight Enumerator: 1x0 + 2x1 + 7x2 + 16x3 + 19x4 + 14x5 + 5x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)3 (X_b)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_b)3 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_b)3 (X_c)3 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_a)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)3 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)3 (X_c)3 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_c)6 + (X_0)2 (X_c)4
Dual Codewords:
0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0
0 0 a 0 0 0
0 0 a a 0 0
0 0 a b 0 0
0 0 a c 0 0
0 0 b 0 0 0
0 0 b a 0 0
0 0 b b 0 0
0 0 b c 0 0
0 0 c 0 0 0
0 0 c a 0 0
0 0 c b 0 0
0 0 c c 0 0
0 a 0 0 0 0
0 a 0 a 0 0
0 a 0 b 0 0
0 a 0 c 0 0
0 a a 0 0 0
0 a a a 0 0
0 a a b 0 0
0 a a c 0 0
0 a b 0 0 0
0 a b a 0 0
0 a b b 0 0
0 a b c 0 0
0 a c 0 0 0
0 a c a 0 0
0 a c b 0 0
0 a c c 0 0
0 b 0 0 0 0
0 b 0 a 0 0
0 b 0 b 0 0
0 b 0 c 0 0
0 b a 0 0 0
0 b a a 0 0
0 b a b 0 0
0 b a c 0 0
0 b b 0 0 0
0 b b a 0 0
0 b b b 0 0
0 b b c 0 0
0 b c 0 0 0
0 b c a 0 0
0 b c b 0 0
0 b c c 0 0
0 c 0 0 0 0
0 c 0 a 0 0
0 c 0 b 0 0
0 c 0 c 0 0
0 c a 0 0 0
0 c a a 0 0
0 c a b 0 0
0 c a c 0 0
0 c b 0 0 0
0 c b a 0 0
0 c b b 0 0
0 c b c 0 0
0 c c 0 0 0
0 c c a 0 0
0 c c b 0 0
0 c c c 0 0
Is it a nice code?: Yes
Generator Matrix-57
a 0 0 0 a a
b 0 0 0 b b
0 c 0 0 0 c
0 0 c 0 0 0
0 0 0 c 0 0
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 0
0 0 0 c c 0
0 0 c 0 0 0
0 0 c 0 c 0
0 0 c c 0 0
0 0 c c c 0
0 c 0 0 0 c
0 c 0 0 c c
0 c 0 c 0 c
0 c 0 c c c
0 c c 0 0 c
0 c c 0 c c
0 c c c 0 c
0 c c c c c
b 0 0 0 b b
b 0 0 0 a b
b 0 0 c b b
b 0 0 c a b
b 0 c 0 b b
b 0 c 0 a b
b 0 c c b b
b 0 c c a b
b c 0 0 b a
b c 0 0 a a
b c 0 c b a
b c 0 c a a
b c c 0 b a
b c c 0 a a
b c c c b a
b c c c a a
a 0 0 0 a a
a 0 0 0 b a
a 0 0 c a a
a 0 0 c b a
a 0 c 0 a a
a 0 c 0 b a
a 0 c c a a
a 0 c c b a
a c 0 0 a b
a c 0 0 b b
a c 0 c a b
a c 0 c b b
a c c 0 a b
a c c 0 b b
a c c c a b
a c c c b b
c 0 0 0 c c
c 0 0 0 0 c
c 0 0 c c c
c 0 0 c 0 c
c 0 c 0 c c
c 0 c 0 0 c
c 0 c c c c
c 0 c c 0 c
c c 0 0 c 0
c c 0 0 0 0
c c 0 c c 0
c c 0 c 0 0
c c c 0 c 0
c c c 0 0 0
c c c c c 0
c c c c 0 0
dmin: 1
Weight Enumerator: 1x0 + 3x1 + 6x2 + 14x3 + 21x4 + 15x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)3 (X_b)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)2 (X_b)3 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_b)3 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_a)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)2 (X_a)3 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)3 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4
Dual Codewords:
0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0
0 0 a 0 0 0
0 0 a a 0 0
0 0 a b 0 0
0 0 a c 0 0
0 0 b 0 0 0
0 0 b a 0 0
0 0 b b 0 0
0 0 b c 0 0
0 0 c 0 0 0
0 0 c a 0 0
0 0 c b 0 0
0 0 c c 0 0
0 a 0 0 0 0
0 a 0 a 0 0
0 a 0 b 0 0
0 a 0 c 0 0
0 a a 0 0 0
0 a a a 0 0
0 a a b 0 0
0 a a c 0 0
0 a b 0 0 0
0 a b a 0 0
0 a b b 0 0
0 a b c 0 0
0 a c 0 0 0
0 a c a 0 0
0 a c b 0 0
0 a c c 0 0
0 b 0 0 0 0
0 b 0 a 0 0
0 b 0 b 0 0
0 b 0 c 0 0
0 b a 0 0 0
0 b a a 0 0
0 b a b 0 0
0 b a c 0 0
0 b b 0 0 0
0 b b a 0 0
0 b b b 0 0
0 b b c 0 0
0 b c 0 0 0
0 b c a 0 0
0 b c b 0 0
0 b c c 0 0
0 c 0 0 0 0
0 c 0 a 0 0
0 c 0 b 0 0
0 c 0 c 0 0
0 c a 0 0 0
0 c a a 0 0
0 c a b 0 0
0 c a c 0 0
0 c b 0 0 0
0 c b a 0 0
0 c b b 0 0
0 c b c 0 0
0 c c 0 0 0
0 c c a 0 0
0 c c b 0 0
0 c c c 0 0
Is it a nice code?: Yes
Generator Matrix-58
a 0 0 0 a a
b 0 0 0 b b
0 c 0 0 0 c
0 0 c 0 0 0
0 0 0 c 0 0
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 0
0 0 0 c c c
0 0 c 0 0 0
0 0 c 0 c c
0 0 c c 0 0
0 0 c c c c
0 c 0 0 0 c
0 c 0 0 c 0
0 c 0 c 0 c
0 c 0 c c 0
0 c c 0 0 c
0 c c 0 c 0
0 c c c 0 c
0 c c c c 0
b 0 0 0 b b
b 0 0 0 a a
b 0 0 c b b
b 0 0 c a a
b 0 c 0 b b
b 0 c 0 a a
b 0 c c b b
b 0 c c a a
b c 0 0 b a
b c 0 0 a b
b c 0 c b a
b c 0 c a b
b c c 0 b a
b c c 0 a b
b c c c b a
b c c c a b
a 0 0 0 a a
a 0 0 0 b b
a 0 0 c a a
a 0 0 c b b
a 0 c 0 a a
a 0 c 0 b b
a 0 c c a a
a 0 c c b b
a c 0 0 a b
a c 0 0 b a
a c 0 c a b
a c 0 c b a
a c c 0 a b
a c c 0 b a
a c c c a b
a c c c b a
c 0 0 0 c c
c 0 0 0 0 0
c 0 0 c c c
c 0 0 c 0 0
c 0 c 0 c c
c 0 c 0 0 0
c 0 c c c c
c 0 c c 0 0
c c 0 0 c 0
c c 0 0 0 c
c c 0 c c 0
c c 0 c 0 c
c c c 0 c 0
c c c 0 0 c
c c c c c 0
c c c c 0 c
dmin: 1
Weight Enumerator: 1x0 + 3x1 + 6x2 + 14x3 + 21x4 + 15x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)3 (X_b)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)2 (X_b)3 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_b)3 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)2 (X_a)3 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)3 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5
Dual Codewords:
0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0
0 0 a 0 0 0
0 0 a a 0 0
0 0 a b 0 0
0 0 a c 0 0
0 0 b 0 0 0
0 0 b a 0 0
0 0 b b 0 0
0 0 b c 0 0
0 0 c 0 0 0
0 0 c a 0 0
0 0 c b 0 0
0 0 c c 0 0
0 a 0 0 0 0
0 a 0 a 0 0
0 a 0 b 0 0
0 a 0 c 0 0
0 a a 0 0 0
0 a a a 0 0
0 a a b 0 0
0 a a c 0 0
0 a b 0 0 0
0 a b a 0 0
0 a b b 0 0
0 a b c 0 0
0 a c 0 0 0
0 a c a 0 0
0 a c b 0 0
0 a c c 0 0
0 b 0 0 0 0
0 b 0 a 0 0
0 b 0 b 0 0
0 b 0 c 0 0
0 b a 0 0 0
0 b a a 0 0
0 b a b 0 0
0 b a c 0 0
0 b b 0 0 0
0 b b a 0 0
0 b b b 0 0
0 b b c 0 0
0 b c 0 0 0
0 b c a 0 0
0 b c b 0 0
0 b c c 0 0
0 c 0 0 0 0
0 c 0 a 0 0
0 c 0 b 0 0
0 c 0 c 0 0
0 c a 0 0 0
0 c a a 0 0
0 c a b 0 0
0 c a c 0 0
0 c b 0 0 0
0 c b a 0 0
0 c b b 0 0
0 c b c 0 0
0 c c 0 0 0
0 c c a 0 0
0 c c b 0 0
0 c c c 0 0
Is it a nice code?: Yes
Generator Matrix-59
a 0 0 0 a a
b 0 0 0 b b
0 c 0 0 0 c
0 0 c 0 0 0
0 0 0 c 0 c
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 c
0 0 0 c c c
0 0 c 0 0 0
0 0 c 0 c 0
0 0 c c 0 c
0 0 c c c c
0 c 0 0 0 c
0 c 0 0 c c
0 c 0 c 0 0
0 c 0 c c 0
0 c c 0 0 c
0 c c 0 c c
0 c c c 0 0
0 c c c c 0
b 0 0 0 b b
b 0 0 0 a b
b 0 0 c b a
b 0 0 c a a
b 0 c 0 b b
b 0 c 0 a b
b 0 c c b a
b 0 c c a a
b c 0 0 b a
b c 0 0 a a
b c 0 c b b
b c 0 c a b
b c c 0 b a
b c c 0 a a
b c c c b b
b c c c a b
a 0 0 0 a a
a 0 0 0 b a
a 0 0 c a b
a 0 0 c b b
a 0 c 0 a a
a 0 c 0 b a
a 0 c c a b
a 0 c c b b
a c 0 0 a b
a c 0 0 b b
a c 0 c a a
a c 0 c b a
a c c 0 a b
a c c 0 b b
a c c c a a
a c c c b a
c 0 0 0 c c
c 0 0 0 0 c
c 0 0 c c 0
c 0 0 c 0 0
c 0 c 0 c c
c 0 c 0 0 c
c 0 c c c 0
c 0 c c 0 0
c c 0 0 c 0
c c 0 0 0 0
c c 0 c c c
c c 0 c 0 c
c c c 0 c 0
c c c 0 0 0
c c c c c c
c c c c 0 c
dmin: 1
Weight Enumerator: 1x0 + 2x1 + 7x2 + 16x3 + 19x4 + 14x5 + 5x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_b)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_b)3 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_b)3 (X_c)3 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)3 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)3 (X_c)3 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_c)6 + (X_0)1 (X_c)5
Dual Codewords:
0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0
0 0 a 0 0 0
0 0 a a 0 0
0 0 a b 0 0
0 0 a c 0 0
0 0 b 0 0 0
0 0 b a 0 0
0 0 b b 0 0
0 0 b c 0 0
0 0 c 0 0 0
0 0 c a 0 0
0 0 c b 0 0
0 0 c c 0 0
0 a 0 0 0 0
0 a 0 a 0 0
0 a 0 b 0 0
0 a 0 c 0 0
0 a a 0 0 0
0 a a a 0 0
0 a a b 0 0
0 a a c 0 0
0 a b 0 0 0
0 a b a 0 0
0 a b b 0 0
0 a b c 0 0
0 a c 0 0 0
0 a c a 0 0
0 a c b 0 0
0 a c c 0 0
0 b 0 0 0 0
0 b 0 a 0 0
0 b 0 b 0 0
0 b 0 c 0 0
0 b a 0 0 0
0 b a a 0 0
0 b a b 0 0
0 b a c 0 0
0 b b 0 0 0
0 b b a 0 0
0 b b b 0 0
0 b b c 0 0
0 b c 0 0 0
0 b c a 0 0
0 b c b 0 0
0 b c c 0 0
0 c 0 0 0 0
0 c 0 a 0 0
0 c 0 b 0 0
0 c 0 c 0 0
0 c a 0 0 0
0 c a a 0 0
0 c a b 0 0
0 c a c 0 0
0 c b 0 0 0
0 c b a 0 0
0 c b b 0 0
0 c b c 0 0
0 c c 0 0 0
0 c c a 0 0
0 c c b 0 0
0 c c c 0 0
Is it a nice code?: Yes
Generator Matrix-60
a 0 0 0 a a
b 0 0 0 b b
0 c 0 0 0 c
0 0 c 0 0 0
0 0 0 c 0 c
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 c
0 0 0 c c 0
0 0 c 0 0 0
0 0 c 0 c c
0 0 c c 0 c
0 0 c c c 0
0 c 0 0 0 c
0 c 0 0 c 0
0 c 0 c 0 0
0 c 0 c c c
0 c c 0 0 c
0 c c 0 c 0
0 c c c 0 0
0 c c c c c
b 0 0 0 b b
b 0 0 0 a a
b 0 0 c b a
b 0 0 c a b
b 0 c 0 b b
b 0 c 0 a a
b 0 c c b a
b 0 c c a b
b c 0 0 b a
b c 0 0 a b
b c 0 c b b
b c 0 c a a
b c c 0 b a
b c c 0 a b
b c c c b b
b c c c a a
a 0 0 0 a a
a 0 0 0 b b
a 0 0 c a b
a 0 0 c b a
a 0 c 0 a a
a 0 c 0 b b
a 0 c c a b
a 0 c c b a
a c 0 0 a b
a c 0 0 b a
a c 0 c a a
a c 0 c b b
a c c 0 a b
a c c 0 b a
a c c c a a
a c c c b b
c 0 0 0 c c
c 0 0 0 0 0
c 0 0 c c 0
c 0 0 c 0 c
c 0 c 0 c c
c 0 c 0 0 0
c 0 c c c 0
c 0 c c 0 c
c c 0 0 c 0
c c 0 0 0 c
c c 0 c c c
c c 0 c 0 0
c c c 0 c 0
c c c 0 0 c
c c c c c c
c c c c 0 0
dmin: 1
Weight Enumerator: 1x0 + 2x1 + 7x2 + 16x3 + 19x4 + 14x5 + 5x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)3 (X_b)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_b)3 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_b)3 (X_c)3 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_a)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)3 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)3 (X_c)3 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_c)6 + (X_0)2 (X_c)4
Dual Codewords:
0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0
0 0 a 0 0 0
0 0 a a 0 0
0 0 a b 0 0
0 0 a c 0 0
0 0 b 0 0 0
0 0 b a 0 0
0 0 b b 0 0
0 0 b c 0 0
0 0 c 0 0 0
0 0 c a 0 0
0 0 c b 0 0
0 0 c c 0 0
0 a 0 0 0 0
0 a 0 a 0 0
0 a 0 b 0 0
0 a 0 c 0 0
0 a a 0 0 0
0 a a a 0 0
0 a a b 0 0
0 a a c 0 0
0 a b 0 0 0
0 a b a 0 0
0 a b b 0 0
0 a b c 0 0
0 a c 0 0 0
0 a c a 0 0
0 a c b 0 0
0 a c c 0 0
0 b 0 0 0 0
0 b 0 a 0 0
0 b 0 b 0 0
0 b 0 c 0 0
0 b a 0 0 0
0 b a a 0 0
0 b a b 0 0
0 b a c 0 0
0 b b 0 0 0
0 b b a 0 0
0 b b b 0 0
0 b b c 0 0
0 b c 0 0 0
0 b c a 0 0
0 b c b 0 0
0 b c c 0 0
0 c 0 0 0 0
0 c 0 a 0 0
0 c 0 b 0 0
0 c 0 c 0 0
0 c a 0 0 0
0 c a a 0 0
0 c a b 0 0
0 c a c 0 0
0 c b 0 0 0
0 c b a 0 0
0 c b b 0 0
0 c b c 0 0
0 c c 0 0 0
0 c c a 0 0
0 c c b 0 0
0 c c c 0 0
Is it a nice code?: Yes
Generator Matrix-61
a 0 0 0 a a
b 0 0 0 b b
0 c 0 0 0 c
0 0 c 0 0 c
0 0 0 c 0 0
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 0
0 0 0 c c 0
0 0 c 0 0 c
0 0 c 0 c c
0 0 c c 0 c
0 0 c c c c
0 c 0 0 0 c
0 c 0 0 c c
0 c 0 c 0 c
0 c 0 c c c
0 c c 0 0 0
0 c c 0 c 0
0 c c c 0 0
0 c c c c 0
b 0 0 0 b b
b 0 0 0 a b
b 0 0 c b b
b 0 0 c a b
b 0 c 0 b a
b 0 c 0 a a
b 0 c c b a
b 0 c c a a
b c 0 0 b a
b c 0 0 a a
b c 0 c b a
b c 0 c a a
b c c 0 b b
b c c 0 a b
b c c c b b
b c c c a b
a 0 0 0 a a
a 0 0 0 b a
a 0 0 c a a
a 0 0 c b a
a 0 c 0 a b
a 0 c 0 b b
a 0 c c a b
a 0 c c b b
a c 0 0 a b
a c 0 0 b b
a c 0 c a b
a c 0 c b b
a c c 0 a a
a c c 0 b a
a c c c a a
a c c c b a
c 0 0 0 c c
c 0 0 0 0 c
c 0 0 c c c
c 0 0 c 0 c
c 0 c 0 c 0
c 0 c 0 0 0
c 0 c c c 0
c 0 c c 0 0
c c 0 0 c 0
c c 0 0 0 0
c c 0 c c 0
c c 0 c 0 0
c c c 0 c c
c c c 0 0 c
c c c c c c
c c c c 0 c
dmin: 1
Weight Enumerator: 1x0 + 2x1 + 7x2 + 16x3 + 19x4 + 14x5 + 5x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_b)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)2 (X_b)3 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_b)3 (X_c)3 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)2 (X_a)3 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)3 (X_c)3 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_c)6 + (X_0)1 (X_c)5
Dual Codewords:
0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0
0 0 a 0 0 0
0 0 a a 0 0
0 0 a b 0 0
0 0 a c 0 0
0 0 b 0 0 0
0 0 b a 0 0
0 0 b b 0 0
0 0 b c 0 0
0 0 c 0 0 0
0 0 c a 0 0
0 0 c b 0 0
0 0 c c 0 0
0 a 0 0 0 0
0 a 0 a 0 0
0 a 0 b 0 0
0 a 0 c 0 0
0 a a 0 0 0
0 a a a 0 0
0 a a b 0 0
0 a a c 0 0
0 a b 0 0 0
0 a b a 0 0
0 a b b 0 0
0 a b c 0 0
0 a c 0 0 0
0 a c a 0 0
0 a c b 0 0
0 a c c 0 0
0 b 0 0 0 0
0 b 0 a 0 0
0 b 0 b 0 0
0 b 0 c 0 0
0 b a 0 0 0
0 b a a 0 0
0 b a b 0 0
0 b a c 0 0
0 b b 0 0 0
0 b b a 0 0
0 b b b 0 0
0 b b c 0 0
0 b c 0 0 0
0 b c a 0 0
0 b c b 0 0
0 b c c 0 0
0 c 0 0 0 0
0 c 0 a 0 0
0 c 0 b 0 0
0 c 0 c 0 0
0 c a 0 0 0
0 c a a 0 0
0 c a b 0 0
0 c a c 0 0
0 c b 0 0 0
0 c b a 0 0
0 c b b 0 0
0 c b c 0 0
0 c c 0 0 0
0 c c a 0 0
0 c c b 0 0
0 c c c 0 0
Is it a nice code?: Yes
Generator Matrix-62
a 0 0 0 a a
b 0 0 0 b b
0 c 0 0 0 c
0 0 c 0 0 c
0 0 0 c 0 0
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 0
0 0 0 c c c
0 0 c 0 0 c
0 0 c 0 c 0
0 0 c c 0 c
0 0 c c c 0
0 c 0 0 0 c
0 c 0 0 c 0
0 c 0 c 0 c
0 c 0 c c 0
0 c c 0 0 0
0 c c 0 c c
0 c c c 0 0
0 c c c c c
b 0 0 0 b b
b 0 0 0 a a
b 0 0 c b b
b 0 0 c a a
b 0 c 0 b a
b 0 c 0 a b
b 0 c c b a
b 0 c c a b
b c 0 0 b a
b c 0 0 a b
b c 0 c b a
b c 0 c a b
b c c 0 b b
b c c 0 a a
b c c c b b
b c c c a a
a 0 0 0 a a
a 0 0 0 b b
a 0 0 c a a
a 0 0 c b b
a 0 c 0 a b
a 0 c 0 b a
a 0 c c a b
a 0 c c b a
a c 0 0 a b
a c 0 0 b a
a c 0 c a b
a c 0 c b a
a c c 0 a a
a c c 0 b b
a c c c a a
a c c c b b
c 0 0 0 c c
c 0 0 0 0 0
c 0 0 c c c
c 0 0 c 0 0
c 0 c 0 c 0
c 0 c 0 0 c
c 0 c c c 0
c 0 c c 0 c
c c 0 0 c 0
c c 0 0 0 c
c c 0 c c 0
c c 0 c 0 c
c c c 0 c c
c c c 0 0 0
c c c c c c
c c c c 0 0
dmin: 1
Weight Enumerator: 1x0 + 2x1 + 7x2 + 16x3 + 19x4 + 14x5 + 5x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)3 (X_b)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)2 (X_b)3 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_b)3 (X_c)3 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_a)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)2 (X_a)3 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)3 (X_c)3 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_c)6 + (X_0)2 (X_c)4
Dual Codewords:
0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0
0 0 a 0 0 0
0 0 a a 0 0
0 0 a b 0 0
0 0 a c 0 0
0 0 b 0 0 0
0 0 b a 0 0
0 0 b b 0 0
0 0 b c 0 0
0 0 c 0 0 0
0 0 c a 0 0
0 0 c b 0 0
0 0 c c 0 0
0 a 0 0 0 0
0 a 0 a 0 0
0 a 0 b 0 0
0 a 0 c 0 0
0 a a 0 0 0
0 a a a 0 0
0 a a b 0 0
0 a a c 0 0
0 a b 0 0 0
0 a b a 0 0
0 a b b 0 0
0 a b c 0 0
0 a c 0 0 0
0 a c a 0 0
0 a c b 0 0
0 a c c 0 0
0 b 0 0 0 0
0 b 0 a 0 0
0 b 0 b 0 0
0 b 0 c 0 0
0 b a 0 0 0
0 b a a 0 0
0 b a b 0 0
0 b a c 0 0
0 b b 0 0 0
0 b b a 0 0
0 b b b 0 0
0 b b c 0 0
0 b c 0 0 0
0 b c a 0 0
0 b c b 0 0
0 b c c 0 0
0 c 0 0 0 0
0 c 0 a 0 0
0 c 0 b 0 0
0 c 0 c 0 0
0 c a 0 0 0
0 c a a 0 0
0 c a b 0 0
0 c a c 0 0
0 c b 0 0 0
0 c b a 0 0
0 c b b 0 0
0 c b c 0 0
0 c c 0 0 0
0 c c a 0 0
0 c c b 0 0
0 c c c 0 0
Is it a nice code?: Yes
Generator Matrix-63
a 0 0 0 a a
b 0 0 0 b b
0 c 0 0 0 c
0 0 c 0 0 c
0 0 0 c 0 c
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 c
0 0 0 c c c
0 0 c 0 0 c
0 0 c 0 c c
0 0 c c 0 0
0 0 c c c 0
0 c 0 0 0 c
0 c 0 0 c c
0 c 0 c 0 0
0 c 0 c c 0
0 c c 0 0 0
0 c c 0 c 0
0 c c c 0 c
0 c c c c c
b 0 0 0 b b
b 0 0 0 a b
b 0 0 c b a
b 0 0 c a a
b 0 c 0 b a
b 0 c 0 a a
b 0 c c b b
b 0 c c a b
b c 0 0 b a
b c 0 0 a a
b c 0 c b b
b c 0 c a b
b c c 0 b b
b c c 0 a b
b c c c b a
b c c c a a
a 0 0 0 a a
a 0 0 0 b a
a 0 0 c a b
a 0 0 c b b
a 0 c 0 a b
a 0 c 0 b b
a 0 c c a a
a 0 c c b a
a c 0 0 a b
a c 0 0 b b
a c 0 c a a
a c 0 c b a
a c c 0 a a
a c c 0 b a
a c c c a b
a c c c b b
c 0 0 0 c c
c 0 0 0 0 c
c 0 0 c c 0
c 0 0 c 0 0
c 0 c 0 c 0
c 0 c 0 0 0
c 0 c c c c
c 0 c c 0 c
c c 0 0 c 0
c c 0 0 0 0
c c 0 c c c
c c 0 c 0 c
c c c 0 c c
c c c 0 0 c
c c c c c 0
c c c c 0 0
dmin: 1
Weight Enumerator: 1x0 + 1x1 + 10x2 + 14x3 + 17x4 + 17x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)3 (X_b)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_a)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4
Dual Codewords:
0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0
0 0 a 0 0 0
0 0 a a 0 0
0 0 a b 0 0
0 0 a c 0 0
0 0 b 0 0 0
0 0 b a 0 0
0 0 b b 0 0
0 0 b c 0 0
0 0 c 0 0 0
0 0 c a 0 0
0 0 c b 0 0
0 0 c c 0 0
0 a 0 0 0 0
0 a 0 a 0 0
0 a 0 b 0 0
0 a 0 c 0 0
0 a a 0 0 0
0 a a a 0 0
0 a a b 0 0
0 a a c 0 0
0 a b 0 0 0
0 a b a 0 0
0 a b b 0 0
0 a b c 0 0
0 a c 0 0 0
0 a c a 0 0
0 a c b 0 0
0 a c c 0 0
0 b 0 0 0 0
0 b 0 a 0 0
0 b 0 b 0 0
0 b 0 c 0 0
0 b a 0 0 0
0 b a a 0 0
0 b a b 0 0
0 b a c 0 0
0 b b 0 0 0
0 b b a 0 0
0 b b b 0 0
0 b b c 0 0
0 b c 0 0 0
0 b c a 0 0
0 b c b 0 0
0 b c c 0 0
0 c 0 0 0 0
0 c 0 a 0 0
0 c 0 b 0 0
0 c 0 c 0 0
0 c a 0 0 0
0 c a a 0 0
0 c a b 0 0
0 c a c 0 0
0 c b 0 0 0
0 c b a 0 0
0 c b b 0 0
0 c b c 0 0
0 c c 0 0 0
0 c c a 0 0
0 c c b 0 0
0 c c c 0 0
Is it a nice code?: Yes
Generator Matrix-64
a 0 0 0 a a
b 0 0 0 b b
0 c 0 0 0 c
0 0 c 0 0 c
0 0 0 c 0 c
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 c
0 0 0 c c 0
0 0 c 0 0 c
0 0 c 0 c 0
0 0 c c 0 0
0 0 c c c c
0 c 0 0 0 c
0 c 0 0 c 0
0 c 0 c 0 0
0 c 0 c c c
0 c c 0 0 0
0 c c 0 c c
0 c c c 0 c
0 c c c c 0
b 0 0 0 b b
b 0 0 0 a a
b 0 0 c b a
b 0 0 c a b
b 0 c 0 b a
b 0 c 0 a b
b 0 c c b b
b 0 c c a a
b c 0 0 b a
b c 0 0 a b
b c 0 c b b
b c 0 c a a
b c c 0 b b
b c c 0 a a
b c c c b a
b c c c a b
a 0 0 0 a a
a 0 0 0 b b
a 0 0 c a b
a 0 0 c b a
a 0 c 0 a b
a 0 c 0 b a
a 0 c c a a
a 0 c c b b
a c 0 0 a b
a c 0 0 b a
a c 0 c a a
a c 0 c b b
a c c 0 a a
a c c 0 b b
a c c c a b
a c c c b a
c 0 0 0 c c
c 0 0 0 0 0
c 0 0 c c 0
c 0 0 c 0 c
c 0 c 0 c 0
c 0 c 0 0 c
c 0 c c c c
c 0 c c 0 0
c c 0 0 c 0
c c 0 0 0 c
c c 0 c c c
c c 0 c 0 0
c c c 0 c c
c c c 0 0 0
c c c c c 0
c c c c 0 c
dmin: 1
Weight Enumerator: 1x0 + 1x1 + 10x2 + 14x3 + 17x4 + 17x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)3 (X_b)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5
Dual Codewords:
0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0
0 0 a 0 0 0
0 0 a a 0 0
0 0 a b 0 0
0 0 a c 0 0
0 0 b 0 0 0
0 0 b a 0 0
0 0 b b 0 0
0 0 b c 0 0
0 0 c 0 0 0
0 0 c a 0 0
0 0 c b 0 0
0 0 c c 0 0
0 a 0 0 0 0
0 a 0 a 0 0
0 a 0 b 0 0
0 a 0 c 0 0
0 a a 0 0 0
0 a a a 0 0
0 a a b 0 0
0 a a c 0 0
0 a b 0 0 0
0 a b a 0 0
0 a b b 0 0
0 a b c 0 0
0 a c 0 0 0
0 a c a 0 0
0 a c b 0 0
0 a c c 0 0
0 b 0 0 0 0
0 b 0 a 0 0
0 b 0 b 0 0
0 b 0 c 0 0
0 b a 0 0 0
0 b a a 0 0
0 b a b 0 0
0 b a c 0 0
0 b b 0 0 0
0 b b a 0 0
0 b b b 0 0
0 b b c 0 0
0 b c 0 0 0
0 b c a 0 0
0 b c b 0 0
0 b c c 0 0
0 c 0 0 0 0
0 c 0 a 0 0
0 c 0 b 0 0
0 c 0 c 0 0
0 c a 0 0 0
0 c a a 0 0
0 c a b 0 0
0 c a c 0 0
0 c b 0 0 0
0 c b a 0 0
0 c b b 0 0
0 c b c 0 0
0 c c 0 0 0
0 c c a 0 0
0 c c b 0 0
0 c c c 0 0
Is it a nice code?: Yes
Generator Matrix-65
a 0 0 a 0 0
b 0 0 b 0 0
0 c 0 0 0 0
0 0 c 0 0 0
0 0 0 c 0 0
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 0
0 0 0 c c 0
0 0 c 0 0 0
0 0 c 0 c 0
0 0 c c 0 0
0 0 c c c 0
0 c 0 0 0 0
0 c 0 0 c 0
0 c 0 c 0 0
0 c 0 c c 0
0 c c 0 0 0
0 c c 0 c 0
0 c c c 0 0
0 c c c c 0
b 0 0 b 0 0
b 0 0 b c 0
b 0 0 a 0 0
b 0 0 a c 0
b 0 c b 0 0
b 0 c b c 0
b 0 c a 0 0
b 0 c a c 0
b c 0 b 0 0
b c 0 b c 0
b c 0 a 0 0
b c 0 a c 0
b c c b 0 0
b c c b c 0
b c c a 0 0
b c c a c 0
a 0 0 a 0 0
a 0 0 a c 0
a 0 0 b 0 0
a 0 0 b c 0
a 0 c a 0 0
a 0 c a c 0
a 0 c b 0 0
a 0 c b c 0
a c 0 a 0 0
a c 0 a c 0
a c 0 b 0 0
a c 0 b c 0
a c c a 0 0
a c c a c 0
a c c b 0 0
a c c b c 0
c 0 0 c 0 0
c 0 0 c c 0
c 0 0 0 0 0
c 0 0 0 c 0
c 0 c c 0 0
c 0 c c c 0
c 0 c 0 0 0
c 0 c 0 c 0
c c 0 c 0 0
c c 0 c c 0
c c 0 0 0 0
c c 0 0 c 0
c c c c 0 0
c c c c c 0
c c c 0 0 0
c c c 0 c 0
dmin: 1
Weight Enumerator: 1x0 + 5x1 + 14x2 + 22x3 + 17x4 + 5x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_b)2 + (X_0)3 (X_b)2 (X_c)1 + (X_0)4 (X_a)1 (X_b)1 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)3 (X_b)2 (X_c)1 + (X_0)2 (X_b)2 (X_c)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_b)2 (X_c)1 + (X_0)2 (X_b)2 (X_c)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_a)2 + (X_0)3 (X_a)2 (X_c)1 + (X_0)4 (X_a)1 (X_b)1 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)3 (X_a)2 (X_c)1 + (X_0)2 (X_a)2 (X_c)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_a)2 (X_c)1 + (X_0)2 (X_a)2 (X_c)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 a 0 a 0
0 0 a 0 a a
0 0 a 0 a b
0 0 a 0 a c
0 0 a 0 b 0
0 0 a 0 b a
0 0 a 0 b b
0 0 a 0 b c
0 0 a 0 c 0
0 0 a 0 c a
0 0 a 0 c b
0 0 a 0 c c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 b 0 a 0
0 0 b 0 a a
0 0 b 0 a b
0 0 b 0 a c
0 0 b 0 b 0
0 0 b 0 b a
0 0 b 0 b b
0 0 b 0 b c
0 0 b 0 c 0
0 0 b 0 c a
0 0 b 0 c b
0 0 b 0 c c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c
0 0 c 0 a 0
0 0 c 0 a a
0 0 c 0 a b
0 0 c 0 a c
0 0 c 0 b 0
0 0 c 0 b a
0 0 c 0 b b
0 0 c 0 b c
0 0 c 0 c 0
0 0 c 0 c a
0 0 c 0 c b
0 0 c 0 c c
0 a 0 0 0 0
0 a 0 0 0 a
0 a 0 0 0 b
0 a 0 0 0 c
0 a 0 0 a 0
0 a 0 0 a a
0 a 0 0 a b
0 a 0 0 a c
0 a 0 0 b 0
0 a 0 0 b a
0 a 0 0 b b
0 a 0 0 b c
0 a 0 0 c 0
0 a 0 0 c a
0 a 0 0 c b
0 a 0 0 c c
0 a a 0 0 0
0 a a 0 0 a
0 a a 0 0 b
0 a a 0 0 c
0 a a 0 a 0
0 a a 0 a a
0 a a 0 a b
0 a a 0 a c
0 a a 0 b 0
0 a a 0 b a
0 a a 0 b b
0 a a 0 b c
0 a a 0 c 0
0 a a 0 c a
0 a a 0 c b
0 a a 0 c c
0 a b 0 0 0
0 a b 0 0 a
0 a b 0 0 b
0 a b 0 0 c
0 a b 0 a 0
0 a b 0 a a
0 a b 0 a b
0 a b 0 a c
0 a b 0 b 0
0 a b 0 b a
0 a b 0 b b
0 a b 0 b c
0 a b 0 c 0
0 a b 0 c a
0 a b 0 c b
0 a b 0 c c
0 a c 0 0 0
0 a c 0 0 a
0 a c 0 0 b
0 a c 0 0 c
0 a c 0 a 0
0 a c 0 a a
0 a c 0 a b
0 a c 0 a c
0 a c 0 b 0
0 a c 0 b a
0 a c 0 b b
0 a c 0 b c
0 a c 0 c 0
0 a c 0 c a
0 a c 0 c b
0 a c 0 c c
0 b 0 0 0 0
0 b 0 0 0 a
0 b 0 0 0 b
0 b 0 0 0 c
0 b 0 0 a 0
0 b 0 0 a a
0 b 0 0 a b
0 b 0 0 a c
0 b 0 0 b 0
0 b 0 0 b a
0 b 0 0 b b
0 b 0 0 b c
0 b 0 0 c 0
0 b 0 0 c a
0 b 0 0 c b
0 b 0 0 c c
0 b a 0 0 0
0 b a 0 0 a
0 b a 0 0 b
0 b a 0 0 c
0 b a 0 a 0
0 b a 0 a a
0 b a 0 a b
0 b a 0 a c
0 b a 0 b 0
0 b a 0 b a
0 b a 0 b b
0 b a 0 b c
0 b a 0 c 0
0 b a 0 c a
0 b a 0 c b
0 b a 0 c c
0 b b 0 0 0
0 b b 0 0 a
0 b b 0 0 b
0 b b 0 0 c
0 b b 0 a 0
0 b b 0 a a
0 b b 0 a b
0 b b 0 a c
0 b b 0 b 0
0 b b 0 b a
0 b b 0 b b
0 b b 0 b c
0 b b 0 c 0
0 b b 0 c a
0 b b 0 c b
0 b b 0 c c
0 b c 0 0 0
0 b c 0 0 a
0 b c 0 0 b
0 b c 0 0 c
0 b c 0 a 0
0 b c 0 a a
0 b c 0 a b
0 b c 0 a c
0 b c 0 b 0
0 b c 0 b a
0 b c 0 b b
0 b c 0 b c
0 b c 0 c 0
0 b c 0 c a
0 b c 0 c b
0 b c 0 c c
0 c 0 0 0 0
0 c 0 0 0 a
0 c 0 0 0 b
0 c 0 0 0 c
0 c 0 0 a 0
0 c 0 0 a a
0 c 0 0 a b
0 c 0 0 a c
0 c 0 0 b 0
0 c 0 0 b a
0 c 0 0 b b
0 c 0 0 b c
0 c 0 0 c 0
0 c 0 0 c a
0 c 0 0 c b
0 c 0 0 c c
0 c a 0 0 0
0 c a 0 0 a
0 c a 0 0 b
0 c a 0 0 c
0 c a 0 a 0
0 c a 0 a a
0 c a 0 a b
0 c a 0 a c
0 c a 0 b 0
0 c a 0 b a
0 c a 0 b b
0 c a 0 b c
0 c a 0 c 0
0 c a 0 c a
0 c a 0 c b
0 c a 0 c c
0 c b 0 0 0
0 c b 0 0 a
0 c b 0 0 b
0 c b 0 0 c
0 c b 0 a 0
0 c b 0 a a
0 c b 0 a b
0 c b 0 a c
0 c b 0 b 0
0 c b 0 b a
0 c b 0 b b
0 c b 0 b c
0 c b 0 c 0
0 c b 0 c a
0 c b 0 c b
0 c b 0 c c
0 c c 0 0 0
0 c c 0 0 a
0 c c 0 0 b
0 c c 0 0 c
0 c c 0 a 0
0 c c 0 a a
0 c c 0 a b
0 c c 0 a c
0 c c 0 b 0
0 c c 0 b a
0 c c 0 b b
0 c c 0 b c
0 c c 0 c 0
0 c c 0 c a
0 c c 0 c b
0 c c 0 c c
Is it a nice code?: No
Generator Matrix-66
a 0 0 a 0 0
b 0 0 b 0 0
0 c 0 0 0 0
0 0 c 0 0 0
0 0 0 c 0 0
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 0
0 0 0 c c c
0 0 c 0 0 0
0 0 c 0 c c
0 0 c c 0 0
0 0 c c c c
0 c 0 0 0 0
0 c 0 0 c c
0 c 0 c 0 0
0 c 0 c c c
0 c c 0 0 0
0 c c 0 c c
0 c c c 0 0
0 c c c c c
b 0 0 b 0 0
b 0 0 b c c
b 0 0 a 0 0
b 0 0 a c c
b 0 c b 0 0
b 0 c b c c
b 0 c a 0 0
b 0 c a c c
b c 0 b 0 0
b c 0 b c c
b c 0 a 0 0
b c 0 a c c
b c c b 0 0
b c c b c c
b c c a 0 0
b c c a c c
a 0 0 a 0 0
a 0 0 a c c
a 0 0 b 0 0
a 0 0 b c c
a 0 c a 0 0
a 0 c a c c
a 0 c b 0 0
a 0 c b c c
a c 0 a 0 0
a c 0 a c c
a c 0 b 0 0
a c 0 b c c
a c c a 0 0
a c c a c c
a c c b 0 0
a c c b c c
c 0 0 c 0 0
c 0 0 c c c
c 0 0 0 0 0
c 0 0 0 c c
c 0 c c 0 0
c 0 c c c c
c 0 c 0 0 0
c 0 c 0 c c
c c 0 c 0 0
c c 0 c c c
c c 0 0 0 0
c c 0 0 c c
c c c c 0 0
c c c c c c
c c c 0 0 0
c c c 0 c c
dmin: 1
Weight Enumerator: 1x0 + 4x1 + 11x2 + 16x3 + 15x4 + 12x5 + 5x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)4 (X_a)1 (X_b)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_b)2 (X_c)1 + (X_0)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_b)2 (X_c)1 + (X_0)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_b)2 (X_c)2 + (X_b)2 (X_c)4 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_a)1 (X_b)1 (X_c)4 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)4 (X_a)1 (X_b)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_a)2 (X_c)1 + (X_0)1 (X_a)2 (X_c)3 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_a)2 (X_c)1 + (X_0)1 (X_a)2 (X_c)3 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)2 (X_c)2 + (X_a)2 (X_c)4 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_a)1 (X_b)1 (X_c)4 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_c)6 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 a 0 a 0
0 0 a 0 a a
0 0 a 0 a b
0 0 a 0 a c
0 0 a 0 b 0
0 0 a 0 b a
0 0 a 0 b b
0 0 a 0 b c
0 0 a 0 c 0
0 0 a 0 c a
0 0 a 0 c b
0 0 a 0 c c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 b 0 a 0
0 0 b 0 a a
0 0 b 0 a b
0 0 b 0 a c
0 0 b 0 b 0
0 0 b 0 b a
0 0 b 0 b b
0 0 b 0 b c
0 0 b 0 c 0
0 0 b 0 c a
0 0 b 0 c b
0 0 b 0 c c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c
0 0 c 0 a 0
0 0 c 0 a a
0 0 c 0 a b
0 0 c 0 a c
0 0 c 0 b 0
0 0 c 0 b a
0 0 c 0 b b
0 0 c 0 b c
0 0 c 0 c 0
0 0 c 0 c a
0 0 c 0 c b
0 0 c 0 c c
0 a 0 0 0 0
0 a 0 0 0 a
0 a 0 0 0 b
0 a 0 0 0 c
0 a 0 0 a 0
0 a 0 0 a a
0 a 0 0 a b
0 a 0 0 a c
0 a 0 0 b 0
0 a 0 0 b a
0 a 0 0 b b
0 a 0 0 b c
0 a 0 0 c 0
0 a 0 0 c a
0 a 0 0 c b
0 a 0 0 c c
0 a a 0 0 0
0 a a 0 0 a
0 a a 0 0 b
0 a a 0 0 c
0 a a 0 a 0
0 a a 0 a a
0 a a 0 a b
0 a a 0 a c
0 a a 0 b 0
0 a a 0 b a
0 a a 0 b b
0 a a 0 b c
0 a a 0 c 0
0 a a 0 c a
0 a a 0 c b
0 a a 0 c c
0 a b 0 0 0
0 a b 0 0 a
0 a b 0 0 b
0 a b 0 0 c
0 a b 0 a 0
0 a b 0 a a
0 a b 0 a b
0 a b 0 a c
0 a b 0 b 0
0 a b 0 b a
0 a b 0 b b
0 a b 0 b c
0 a b 0 c 0
0 a b 0 c a
0 a b 0 c b
0 a b 0 c c
0 a c 0 0 0
0 a c 0 0 a
0 a c 0 0 b
0 a c 0 0 c
0 a c 0 a 0
0 a c 0 a a
0 a c 0 a b
0 a c 0 a c
0 a c 0 b 0
0 a c 0 b a
0 a c 0 b b
0 a c 0 b c
0 a c 0 c 0
0 a c 0 c a
0 a c 0 c b
0 a c 0 c c
0 b 0 0 0 0
0 b 0 0 0 a
0 b 0 0 0 b
0 b 0 0 0 c
0 b 0 0 a 0
0 b 0 0 a a
0 b 0 0 a b
0 b 0 0 a c
0 b 0 0 b 0
0 b 0 0 b a
0 b 0 0 b b
0 b 0 0 b c
0 b 0 0 c 0
0 b 0 0 c a
0 b 0 0 c b
0 b 0 0 c c
0 b a 0 0 0
0 b a 0 0 a
0 b a 0 0 b
0 b a 0 0 c
0 b a 0 a 0
0 b a 0 a a
0 b a 0 a b
0 b a 0 a c
0 b a 0 b 0
0 b a 0 b a
0 b a 0 b b
0 b a 0 b c
0 b a 0 c 0
0 b a 0 c a
0 b a 0 c b
0 b a 0 c c
0 b b 0 0 0
0 b b 0 0 a
0 b b 0 0 b
0 b b 0 0 c
0 b b 0 a 0
0 b b 0 a a
0 b b 0 a b
0 b b 0 a c
0 b b 0 b 0
0 b b 0 b a
0 b b 0 b b
0 b b 0 b c
0 b b 0 c 0
0 b b 0 c a
0 b b 0 c b
0 b b 0 c c
0 b c 0 0 0
0 b c 0 0 a
0 b c 0 0 b
0 b c 0 0 c
0 b c 0 a 0
0 b c 0 a a
0 b c 0 a b
0 b c 0 a c
0 b c 0 b 0
0 b c 0 b a
0 b c 0 b b
0 b c 0 b c
0 b c 0 c 0
0 b c 0 c a
0 b c 0 c b
0 b c 0 c c
0 c 0 0 0 0
0 c 0 0 0 a
0 c 0 0 0 b
0 c 0 0 0 c
0 c 0 0 a 0
0 c 0 0 a a
0 c 0 0 a b
0 c 0 0 a c
0 c 0 0 b 0
0 c 0 0 b a
0 c 0 0 b b
0 c 0 0 b c
0 c 0 0 c 0
0 c 0 0 c a
0 c 0 0 c b
0 c 0 0 c c
0 c a 0 0 0
0 c a 0 0 a
0 c a 0 0 b
0 c a 0 0 c
0 c a 0 a 0
0 c a 0 a a
0 c a 0 a b
0 c a 0 a c
0 c a 0 b 0
0 c a 0 b a
0 c a 0 b b
0 c a 0 b c
0 c a 0 c 0
0 c a 0 c a
0 c a 0 c b
0 c a 0 c c
0 c b 0 0 0
0 c b 0 0 a
0 c b 0 0 b
0 c b 0 0 c
0 c b 0 a 0
0 c b 0 a a
0 c b 0 a b
0 c b 0 a c
0 c b 0 b 0
0 c b 0 b a
0 c b 0 b b
0 c b 0 b c
0 c b 0 c 0
0 c b 0 c a
0 c b 0 c b
0 c b 0 c c
0 c c 0 0 0
0 c c 0 0 a
0 c c 0 0 b
0 c c 0 0 c
0 c c 0 a 0
0 c c 0 a a
0 c c 0 a b
0 c c 0 a c
0 c c 0 b 0
0 c c 0 b a
0 c c 0 b b
0 c c 0 b c
0 c c 0 c 0
0 c c 0 c a
0 c c 0 c b
0 c c 0 c c
Is it a nice code?: No
Generator Matrix-67
a 0 0 a 0 0
b 0 0 b 0 0
0 c 0 0 0 0
0 0 c 0 0 0
0 0 0 c 0 c
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 c
0 0 0 c c c
0 0 c 0 0 0
0 0 c 0 c 0
0 0 c c 0 c
0 0 c c c c
0 c 0 0 0 0
0 c 0 0 c 0
0 c 0 c 0 c
0 c 0 c c c
0 c c 0 0 0
0 c c 0 c 0
0 c c c 0 c
0 c c c c c
b 0 0 b 0 0
b 0 0 b c 0
b 0 0 a 0 c
b 0 0 a c c
b 0 c b 0 0
b 0 c b c 0
b 0 c a 0 c
b 0 c a c c
b c 0 b 0 0
b c 0 b c 0
b c 0 a 0 c
b c 0 a c c
b c c b 0 0
b c c b c 0
b c c a 0 c
b c c a c c
a 0 0 a 0 0
a 0 0 a c 0
a 0 0 b 0 c
a 0 0 b c c
a 0 c a 0 0
a 0 c a c 0
a 0 c b 0 c
a 0 c b c c
a c 0 a 0 0
a c 0 a c 0
a c 0 b 0 c
a c 0 b c c
a c c a 0 0
a c c a c 0
a c c b 0 c
a c c b c c
c 0 0 c 0 0
c 0 0 c c 0
c 0 0 0 0 c
c 0 0 0 c c
c 0 c c 0 0
c 0 c c c 0
c 0 c 0 0 c
c 0 c 0 c c
c c 0 c 0 0
c c 0 c c 0
c c 0 0 0 c
c c 0 0 c c
c c c c 0 0
c c c c c 0
c c c 0 0 c
c c c 0 c c
dmin: 1
Weight Enumerator: 1x0 + 3x1 + 8x2 + 18x3 + 21x4 + 11x5 + 2x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)4 (X_b)2 + (X_0)3 (X_b)2 (X_c)1 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_b)2 (X_c)1 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_b)2 (X_c)1 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_b)2 (X_c)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_a)1 (X_b)1 (X_c)4 + (X_0)4 (X_a)2 + (X_0)3 (X_a)2 (X_c)1 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_a)2 (X_c)1 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_a)2 (X_c)1 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_a)1 (X_b)1 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 a 0 a 0
0 0 a 0 a a
0 0 a 0 a b
0 0 a 0 a c
0 0 a 0 b 0
0 0 a 0 b a
0 0 a 0 b b
0 0 a 0 b c
0 0 a 0 c 0
0 0 a 0 c a
0 0 a 0 c b
0 0 a 0 c c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 b 0 a 0
0 0 b 0 a a
0 0 b 0 a b
0 0 b 0 a c
0 0 b 0 b 0
0 0 b 0 b a
0 0 b 0 b b
0 0 b 0 b c
0 0 b 0 c 0
0 0 b 0 c a
0 0 b 0 c b
0 0 b 0 c c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c
0 0 c 0 a 0
0 0 c 0 a a
0 0 c 0 a b
0 0 c 0 a c
0 0 c 0 b 0
0 0 c 0 b a
0 0 c 0 b b
0 0 c 0 b c
0 0 c 0 c 0
0 0 c 0 c a
0 0 c 0 c b
0 0 c 0 c c
0 a 0 0 0 0
0 a 0 0 0 a
0 a 0 0 0 b
0 a 0 0 0 c
0 a 0 0 a 0
0 a 0 0 a a
0 a 0 0 a b
0 a 0 0 a c
0 a 0 0 b 0
0 a 0 0 b a
0 a 0 0 b b
0 a 0 0 b c
0 a 0 0 c 0
0 a 0 0 c a
0 a 0 0 c b
0 a 0 0 c c
0 a a 0 0 0
0 a a 0 0 a
0 a a 0 0 b
0 a a 0 0 c
0 a a 0 a 0
0 a a 0 a a
0 a a 0 a b
0 a a 0 a c
0 a a 0 b 0
0 a a 0 b a
0 a a 0 b b
0 a a 0 b c
0 a a 0 c 0
0 a a 0 c a
0 a a 0 c b
0 a a 0 c c
0 a b 0 0 0
0 a b 0 0 a
0 a b 0 0 b
0 a b 0 0 c
0 a b 0 a 0
0 a b 0 a a
0 a b 0 a b
0 a b 0 a c
0 a b 0 b 0
0 a b 0 b a
0 a b 0 b b
0 a b 0 b c
0 a b 0 c 0
0 a b 0 c a
0 a b 0 c b
0 a b 0 c c
0 a c 0 0 0
0 a c 0 0 a
0 a c 0 0 b
0 a c 0 0 c
0 a c 0 a 0
0 a c 0 a a
0 a c 0 a b
0 a c 0 a c
0 a c 0 b 0
0 a c 0 b a
0 a c 0 b b
0 a c 0 b c
0 a c 0 c 0
0 a c 0 c a
0 a c 0 c b
0 a c 0 c c
0 b 0 0 0 0
0 b 0 0 0 a
0 b 0 0 0 b
0 b 0 0 0 c
0 b 0 0 a 0
0 b 0 0 a a
0 b 0 0 a b
0 b 0 0 a c
0 b 0 0 b 0
0 b 0 0 b a
0 b 0 0 b b
0 b 0 0 b c
0 b 0 0 c 0
0 b 0 0 c a
0 b 0 0 c b
0 b 0 0 c c
0 b a 0 0 0
0 b a 0 0 a
0 b a 0 0 b
0 b a 0 0 c
0 b a 0 a 0
0 b a 0 a a
0 b a 0 a b
0 b a 0 a c
0 b a 0 b 0
0 b a 0 b a
0 b a 0 b b
0 b a 0 b c
0 b a 0 c 0
0 b a 0 c a
0 b a 0 c b
0 b a 0 c c
0 b b 0 0 0
0 b b 0 0 a
0 b b 0 0 b
0 b b 0 0 c
0 b b 0 a 0
0 b b 0 a a
0 b b 0 a b
0 b b 0 a c
0 b b 0 b 0
0 b b 0 b a
0 b b 0 b b
0 b b 0 b c
0 b b 0 c 0
0 b b 0 c a
0 b b 0 c b
0 b b 0 c c
0 b c 0 0 0
0 b c 0 0 a
0 b c 0 0 b
0 b c 0 0 c
0 b c 0 a 0
0 b c 0 a a
0 b c 0 a b
0 b c 0 a c
0 b c 0 b 0
0 b c 0 b a
0 b c 0 b b
0 b c 0 b c
0 b c 0 c 0
0 b c 0 c a
0 b c 0 c b
0 b c 0 c c
0 c 0 0 0 0
0 c 0 0 0 a
0 c 0 0 0 b
0 c 0 0 0 c
0 c 0 0 a 0
0 c 0 0 a a
0 c 0 0 a b
0 c 0 0 a c
0 c 0 0 b 0
0 c 0 0 b a
0 c 0 0 b b
0 c 0 0 b c
0 c 0 0 c 0
0 c 0 0 c a
0 c 0 0 c b
0 c 0 0 c c
0 c a 0 0 0
0 c a 0 0 a
0 c a 0 0 b
0 c a 0 0 c
0 c a 0 a 0
0 c a 0 a a
0 c a 0 a b
0 c a 0 a c
0 c a 0 b 0
0 c a 0 b a
0 c a 0 b b
0 c a 0 b c
0 c a 0 c 0
0 c a 0 c a
0 c a 0 c b
0 c a 0 c c
0 c b 0 0 0
0 c b 0 0 a
0 c b 0 0 b
0 c b 0 0 c
0 c b 0 a 0
0 c b 0 a a
0 c b 0 a b
0 c b 0 a c
0 c b 0 b 0
0 c b 0 b a
0 c b 0 b b
0 c b 0 b c
0 c b 0 c 0
0 c b 0 c a
0 c b 0 c b
0 c b 0 c c
0 c c 0 0 0
0 c c 0 0 a
0 c c 0 0 b
0 c c 0 0 c
0 c c 0 a 0
0 c c 0 a a
0 c c 0 a b
0 c c 0 a c
0 c c 0 b 0
0 c c 0 b a
0 c c 0 b b
0 c c 0 b c
0 c c 0 c 0
0 c c 0 c a
0 c c 0 c b
0 c c 0 c c
Is it a nice code?: No
Generator Matrix-68
a 0 0 a 0 0
b 0 0 b 0 0
0 c 0 0 0 0
0 0 c 0 0 0
0 0 0 c 0 c
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 c
0 0 0 c c 0
0 0 c 0 0 0
0 0 c 0 c c
0 0 c c 0 c
0 0 c c c 0
0 c 0 0 0 0
0 c 0 0 c c
0 c 0 c 0 c
0 c 0 c c 0
0 c c 0 0 0
0 c c 0 c c
0 c c c 0 c
0 c c c c 0
b 0 0 b 0 0
b 0 0 b c c
b 0 0 a 0 c
b 0 0 a c 0
b 0 c b 0 0
b 0 c b c c
b 0 c a 0 c
b 0 c a c 0
b c 0 b 0 0
b c 0 b c c
b c 0 a 0 c
b c 0 a c 0
b c c b 0 0
b c c b c c
b c c a 0 c
b c c a c 0
a 0 0 a 0 0
a 0 0 a c c
a 0 0 b 0 c
a 0 0 b c 0
a 0 c a 0 0
a 0 c a c c
a 0 c b 0 c
a 0 c b c 0
a c 0 a 0 0
a c 0 a c c
a c 0 b 0 c
a c 0 b c 0
a c c a 0 0
a c c a c c
a c c b 0 c
a c c b c 0
c 0 0 c 0 0
c 0 0 c c c
c 0 0 0 0 c
c 0 0 0 c 0
c 0 c c 0 0
c 0 c c c c
c 0 c 0 0 c
c 0 c 0 c 0
c c 0 c 0 0
c c 0 c c c
c c 0 0 0 c
c c 0 0 c 0
c c c c 0 0
c c c c c c
c c c 0 0 c
c c c 0 c 0
dmin: 1
Weight Enumerator: 1x0 + 2x1 + 9x2 + 20x3 + 19x4 + 10x5 + 3x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)3 (X_b)2 (X_c)1 + (X_0)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_b)2 (X_c)1 + (X_0)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_b)2 (X_c)2 + (X_b)2 (X_c)4 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)3 (X_a)2 (X_c)1 + (X_0)1 (X_a)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_a)2 (X_c)1 + (X_0)1 (X_a)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_c)2 + (X_a)2 (X_c)4 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_c)6 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 a 0 a 0
0 0 a 0 a a
0 0 a 0 a b
0 0 a 0 a c
0 0 a 0 b 0
0 0 a 0 b a
0 0 a 0 b b
0 0 a 0 b c
0 0 a 0 c 0
0 0 a 0 c a
0 0 a 0 c b
0 0 a 0 c c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 b 0 a 0
0 0 b 0 a a
0 0 b 0 a b
0 0 b 0 a c
0 0 b 0 b 0
0 0 b 0 b a
0 0 b 0 b b
0 0 b 0 b c
0 0 b 0 c 0
0 0 b 0 c a
0 0 b 0 c b
0 0 b 0 c c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c
0 0 c 0 a 0
0 0 c 0 a a
0 0 c 0 a b
0 0 c 0 a c
0 0 c 0 b 0
0 0 c 0 b a
0 0 c 0 b b
0 0 c 0 b c
0 0 c 0 c 0
0 0 c 0 c a
0 0 c 0 c b
0 0 c 0 c c
0 a 0 0 0 0
0 a 0 0 0 a
0 a 0 0 0 b
0 a 0 0 0 c
0 a 0 0 a 0
0 a 0 0 a a
0 a 0 0 a b
0 a 0 0 a c
0 a 0 0 b 0
0 a 0 0 b a
0 a 0 0 b b
0 a 0 0 b c
0 a 0 0 c 0
0 a 0 0 c a
0 a 0 0 c b
0 a 0 0 c c
0 a a 0 0 0
0 a a 0 0 a
0 a a 0 0 b
0 a a 0 0 c
0 a a 0 a 0
0 a a 0 a a
0 a a 0 a b
0 a a 0 a c
0 a a 0 b 0
0 a a 0 b a
0 a a 0 b b
0 a a 0 b c
0 a a 0 c 0
0 a a 0 c a
0 a a 0 c b
0 a a 0 c c
0 a b 0 0 0
0 a b 0 0 a
0 a b 0 0 b
0 a b 0 0 c
0 a b 0 a 0
0 a b 0 a a
0 a b 0 a b
0 a b 0 a c
0 a b 0 b 0
0 a b 0 b a
0 a b 0 b b
0 a b 0 b c
0 a b 0 c 0
0 a b 0 c a
0 a b 0 c b
0 a b 0 c c
0 a c 0 0 0
0 a c 0 0 a
0 a c 0 0 b
0 a c 0 0 c
0 a c 0 a 0
0 a c 0 a a
0 a c 0 a b
0 a c 0 a c
0 a c 0 b 0
0 a c 0 b a
0 a c 0 b b
0 a c 0 b c
0 a c 0 c 0
0 a c 0 c a
0 a c 0 c b
0 a c 0 c c
0 b 0 0 0 0
0 b 0 0 0 a
0 b 0 0 0 b
0 b 0 0 0 c
0 b 0 0 a 0
0 b 0 0 a a
0 b 0 0 a b
0 b 0 0 a c
0 b 0 0 b 0
0 b 0 0 b a
0 b 0 0 b b
0 b 0 0 b c
0 b 0 0 c 0
0 b 0 0 c a
0 b 0 0 c b
0 b 0 0 c c
0 b a 0 0 0
0 b a 0 0 a
0 b a 0 0 b
0 b a 0 0 c
0 b a 0 a 0
0 b a 0 a a
0 b a 0 a b
0 b a 0 a c
0 b a 0 b 0
0 b a 0 b a
0 b a 0 b b
0 b a 0 b c
0 b a 0 c 0
0 b a 0 c a
0 b a 0 c b
0 b a 0 c c
0 b b 0 0 0
0 b b 0 0 a
0 b b 0 0 b
0 b b 0 0 c
0 b b 0 a 0
0 b b 0 a a
0 b b 0 a b
0 b b 0 a c
0 b b 0 b 0
0 b b 0 b a
0 b b 0 b b
0 b b 0 b c
0 b b 0 c 0
0 b b 0 c a
0 b b 0 c b
0 b b 0 c c
0 b c 0 0 0
0 b c 0 0 a
0 b c 0 0 b
0 b c 0 0 c
0 b c 0 a 0
0 b c 0 a a
0 b c 0 a b
0 b c 0 a c
0 b c 0 b 0
0 b c 0 b a
0 b c 0 b b
0 b c 0 b c
0 b c 0 c 0
0 b c 0 c a
0 b c 0 c b
0 b c 0 c c
0 c 0 0 0 0
0 c 0 0 0 a
0 c 0 0 0 b
0 c 0 0 0 c
0 c 0 0 a 0
0 c 0 0 a a
0 c 0 0 a b
0 c 0 0 a c
0 c 0 0 b 0
0 c 0 0 b a
0 c 0 0 b b
0 c 0 0 b c
0 c 0 0 c 0
0 c 0 0 c a
0 c 0 0 c b
0 c 0 0 c c
0 c a 0 0 0
0 c a 0 0 a
0 c a 0 0 b
0 c a 0 0 c
0 c a 0 a 0
0 c a 0 a a
0 c a 0 a b
0 c a 0 a c
0 c a 0 b 0
0 c a 0 b a
0 c a 0 b b
0 c a 0 b c
0 c a 0 c 0
0 c a 0 c a
0 c a 0 c b
0 c a 0 c c
0 c b 0 0 0
0 c b 0 0 a
0 c b 0 0 b
0 c b 0 0 c
0 c b 0 a 0
0 c b 0 a a
0 c b 0 a b
0 c b 0 a c
0 c b 0 b 0
0 c b 0 b a
0 c b 0 b b
0 c b 0 b c
0 c b 0 c 0
0 c b 0 c a
0 c b 0 c b
0 c b 0 c c
0 c c 0 0 0
0 c c 0 0 a
0 c c 0 0 b
0 c c 0 0 c
0 c c 0 a 0
0 c c 0 a a
0 c c 0 a b
0 c c 0 a c
0 c c 0 b 0
0 c c 0 b a
0 c c 0 b b
0 c c 0 b c
0 c c 0 c 0
0 c c 0 c a
0 c c 0 c b
0 c c 0 c c
Is it a nice code?: No
Generator Matrix-69
a 0 0 a 0 0
b 0 0 b 0 0
0 c 0 0 0 0
0 0 c 0 0 c
0 0 0 c 0 0
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 0
0 0 0 c c 0
0 0 c 0 0 c
0 0 c 0 c c
0 0 c c 0 c
0 0 c c c c
0 c 0 0 0 0
0 c 0 0 c 0
0 c 0 c 0 0
0 c 0 c c 0
0 c c 0 0 c
0 c c 0 c c
0 c c c 0 c
0 c c c c c
b 0 0 b 0 0
b 0 0 b c 0
b 0 0 a 0 0
b 0 0 a c 0
b 0 c b 0 c
b 0 c b c c
b 0 c a 0 c
b 0 c a c c
b c 0 b 0 0
b c 0 b c 0
b c 0 a 0 0
b c 0 a c 0
b c c b 0 c
b c c b c c
b c c a 0 c
b c c a c c
a 0 0 a 0 0
a 0 0 a c 0
a 0 0 b 0 0
a 0 0 b c 0
a 0 c a 0 c
a 0 c a c c
a 0 c b 0 c
a 0 c b c c
a c 0 a 0 0
a c 0 a c 0
a c 0 b 0 0
a c 0 b c 0
a c c a 0 c
a c c a c c
a c c b 0 c
a c c b c c
c 0 0 c 0 0
c 0 0 c c 0
c 0 0 0 0 0
c 0 0 0 c 0
c 0 c c 0 c
c 0 c c c c
c 0 c 0 0 c
c 0 c 0 c c
c c 0 c 0 0
c c 0 c c 0
c c 0 0 0 0
c c 0 0 c 0
c c c c 0 c
c c c c c c
c c c 0 0 c
c c c 0 c c
dmin: 1
Weight Enumerator: 1x0 + 4x1 + 11x2 + 16x3 + 15x4 + 12x5 + 5x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)4 (X_b)2 + (X_0)3 (X_b)2 (X_c)1 + (X_0)4 (X_a)1 (X_b)1 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_b)2 (X_c)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_b)2 (X_c)1 + (X_0)2 (X_b)2 (X_c)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_b)2 (X_c)3 + (X_b)2 (X_c)4 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_a)1 (X_b)1 (X_c)4 + (X_0)4 (X_a)2 + (X_0)3 (X_a)2 (X_c)1 + (X_0)4 (X_a)1 (X_b)1 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_a)2 (X_c)1 + (X_0)2 (X_a)2 (X_c)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_c)3 + (X_a)2 (X_c)4 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_a)1 (X_b)1 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_c)6 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 a 0 a 0
0 0 a 0 a a
0 0 a 0 a b
0 0 a 0 a c
0 0 a 0 b 0
0 0 a 0 b a
0 0 a 0 b b
0 0 a 0 b c
0 0 a 0 c 0
0 0 a 0 c a
0 0 a 0 c b
0 0 a 0 c c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 b 0 a 0
0 0 b 0 a a
0 0 b 0 a b
0 0 b 0 a c
0 0 b 0 b 0
0 0 b 0 b a
0 0 b 0 b b
0 0 b 0 b c
0 0 b 0 c 0
0 0 b 0 c a
0 0 b 0 c b
0 0 b 0 c c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c
0 0 c 0 a 0
0 0 c 0 a a
0 0 c 0 a b
0 0 c 0 a c
0 0 c 0 b 0
0 0 c 0 b a
0 0 c 0 b b
0 0 c 0 b c
0 0 c 0 c 0
0 0 c 0 c a
0 0 c 0 c b
0 0 c 0 c c
0 a 0 0 0 0
0 a 0 0 0 a
0 a 0 0 0 b
0 a 0 0 0 c
0 a 0 0 a 0
0 a 0 0 a a
0 a 0 0 a b
0 a 0 0 a c
0 a 0 0 b 0
0 a 0 0 b a
0 a 0 0 b b
0 a 0 0 b c
0 a 0 0 c 0
0 a 0 0 c a
0 a 0 0 c b
0 a 0 0 c c
0 a a 0 0 0
0 a a 0 0 a
0 a a 0 0 b
0 a a 0 0 c
0 a a 0 a 0
0 a a 0 a a
0 a a 0 a b
0 a a 0 a c
0 a a 0 b 0
0 a a 0 b a
0 a a 0 b b
0 a a 0 b c
0 a a 0 c 0
0 a a 0 c a
0 a a 0 c b
0 a a 0 c c
0 a b 0 0 0
0 a b 0 0 a
0 a b 0 0 b
0 a b 0 0 c
0 a b 0 a 0
0 a b 0 a a
0 a b 0 a b
0 a b 0 a c
0 a b 0 b 0
0 a b 0 b a
0 a b 0 b b
0 a b 0 b c
0 a b 0 c 0
0 a b 0 c a
0 a b 0 c b
0 a b 0 c c
0 a c 0 0 0
0 a c 0 0 a
0 a c 0 0 b
0 a c 0 0 c
0 a c 0 a 0
0 a c 0 a a
0 a c 0 a b
0 a c 0 a c
0 a c 0 b 0
0 a c 0 b a
0 a c 0 b b
0 a c 0 b c
0 a c 0 c 0
0 a c 0 c a
0 a c 0 c b
0 a c 0 c c
0 b 0 0 0 0
0 b 0 0 0 a
0 b 0 0 0 b
0 b 0 0 0 c
0 b 0 0 a 0
0 b 0 0 a a
0 b 0 0 a b
0 b 0 0 a c
0 b 0 0 b 0
0 b 0 0 b a
0 b 0 0 b b
0 b 0 0 b c
0 b 0 0 c 0
0 b 0 0 c a
0 b 0 0 c b
0 b 0 0 c c
0 b a 0 0 0
0 b a 0 0 a
0 b a 0 0 b
0 b a 0 0 c
0 b a 0 a 0
0 b a 0 a a
0 b a 0 a b
0 b a 0 a c
0 b a 0 b 0
0 b a 0 b a
0 b a 0 b b
0 b a 0 b c
0 b a 0 c 0
0 b a 0 c a
0 b a 0 c b
0 b a 0 c c
0 b b 0 0 0
0 b b 0 0 a
0 b b 0 0 b
0 b b 0 0 c
0 b b 0 a 0
0 b b 0 a a
0 b b 0 a b
0 b b 0 a c
0 b b 0 b 0
0 b b 0 b a
0 b b 0 b b
0 b b 0 b c
0 b b 0 c 0
0 b b 0 c a
0 b b 0 c b
0 b b 0 c c
0 b c 0 0 0
0 b c 0 0 a
0 b c 0 0 b
0 b c 0 0 c
0 b c 0 a 0
0 b c 0 a a
0 b c 0 a b
0 b c 0 a c
0 b c 0 b 0
0 b c 0 b a
0 b c 0 b b
0 b c 0 b c
0 b c 0 c 0
0 b c 0 c a
0 b c 0 c b
0 b c 0 c c
0 c 0 0 0 0
0 c 0 0 0 a
0 c 0 0 0 b
0 c 0 0 0 c
0 c 0 0 a 0
0 c 0 0 a a
0 c 0 0 a b
0 c 0 0 a c
0 c 0 0 b 0
0 c 0 0 b a
0 c 0 0 b b
0 c 0 0 b c
0 c 0 0 c 0
0 c 0 0 c a
0 c 0 0 c b
0 c 0 0 c c
0 c a 0 0 0
0 c a 0 0 a
0 c a 0 0 b
0 c a 0 0 c
0 c a 0 a 0
0 c a 0 a a
0 c a 0 a b
0 c a 0 a c
0 c a 0 b 0
0 c a 0 b a
0 c a 0 b b
0 c a 0 b c
0 c a 0 c 0
0 c a 0 c a
0 c a 0 c b
0 c a 0 c c
0 c b 0 0 0
0 c b 0 0 a
0 c b 0 0 b
0 c b 0 0 c
0 c b 0 a 0
0 c b 0 a a
0 c b 0 a b
0 c b 0 a c
0 c b 0 b 0
0 c b 0 b a
0 c b 0 b b
0 c b 0 b c
0 c b 0 c 0
0 c b 0 c a
0 c b 0 c b
0 c b 0 c c
0 c c 0 0 0
0 c c 0 0 a
0 c c 0 0 b
0 c c 0 0 c
0 c c 0 a 0
0 c c 0 a a
0 c c 0 a b
0 c c 0 a c
0 c c 0 b 0
0 c c 0 b a
0 c c 0 b b
0 c c 0 b c
0 c c 0 c 0
0 c c 0 c a
0 c c 0 c b
0 c c 0 c c
Is it a nice code?: No
Generator Matrix-70
a 0 0 a 0 0
b 0 0 b 0 0
0 c 0 0 0 0
0 0 c 0 0 c
0 0 0 c 0 0
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 0
0 0 0 c c c
0 0 c 0 0 c
0 0 c 0 c 0
0 0 c c 0 c
0 0 c c c 0
0 c 0 0 0 0
0 c 0 0 c c
0 c 0 c 0 0
0 c 0 c c c
0 c c 0 0 c
0 c c 0 c 0
0 c c c 0 c
0 c c c c 0
b 0 0 b 0 0
b 0 0 b c c
b 0 0 a 0 0
b 0 0 a c c
b 0 c b 0 c
b 0 c b c 0
b 0 c a 0 c
b 0 c a c 0
b c 0 b 0 0
b c 0 b c c
b c 0 a 0 0
b c 0 a c c
b c c b 0 c
b c c b c 0
b c c a 0 c
b c c a c 0
a 0 0 a 0 0
a 0 0 a c c
a 0 0 b 0 0
a 0 0 b c c
a 0 c a 0 c
a 0 c a c 0
a 0 c b 0 c
a 0 c b c 0
a c 0 a 0 0
a c 0 a c c
a c 0 b 0 0
a c 0 b c c
a c c a 0 c
a c c a c 0
a c c b 0 c
a c c b c 0
c 0 0 c 0 0
c 0 0 c c c
c 0 0 0 0 0
c 0 0 0 c c
c 0 c c 0 c
c 0 c c c 0
c 0 c 0 0 c
c 0 c 0 c 0
c c 0 c 0 0
c c 0 c c c
c c 0 0 0 0
c c 0 0 c c
c c c c 0 c
c c c c c 0
c c c 0 0 c
c c c 0 c 0
dmin: 1
Weight Enumerator: 1x0 + 3x1 + 10x2 + 14x3 + 21x4 + 15x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)4 (X_a)1 (X_b)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_b)2 (X_c)1 + (X_0)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_b)2 (X_c)3 + (X_0)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)4 (X_a)1 (X_b)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_a)2 (X_c)1 + (X_0)1 (X_a)2 (X_c)3 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)2 (X_c)3 + (X_0)1 (X_a)2 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 a 0 a 0
0 0 a 0 a a
0 0 a 0 a b
0 0 a 0 a c
0 0 a 0 b 0
0 0 a 0 b a
0 0 a 0 b b
0 0 a 0 b c
0 0 a 0 c 0
0 0 a 0 c a
0 0 a 0 c b
0 0 a 0 c c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 b 0 a 0
0 0 b 0 a a
0 0 b 0 a b
0 0 b 0 a c
0 0 b 0 b 0
0 0 b 0 b a
0 0 b 0 b b
0 0 b 0 b c
0 0 b 0 c 0
0 0 b 0 c a
0 0 b 0 c b
0 0 b 0 c c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c
0 0 c 0 a 0
0 0 c 0 a a
0 0 c 0 a b
0 0 c 0 a c
0 0 c 0 b 0
0 0 c 0 b a
0 0 c 0 b b
0 0 c 0 b c
0 0 c 0 c 0
0 0 c 0 c a
0 0 c 0 c b
0 0 c 0 c c
0 a 0 0 0 0
0 a 0 0 0 a
0 a 0 0 0 b
0 a 0 0 0 c
0 a 0 0 a 0
0 a 0 0 a a
0 a 0 0 a b
0 a 0 0 a c
0 a 0 0 b 0
0 a 0 0 b a
0 a 0 0 b b
0 a 0 0 b c
0 a 0 0 c 0
0 a 0 0 c a
0 a 0 0 c b
0 a 0 0 c c
0 a a 0 0 0
0 a a 0 0 a
0 a a 0 0 b
0 a a 0 0 c
0 a a 0 a 0
0 a a 0 a a
0 a a 0 a b
0 a a 0 a c
0 a a 0 b 0
0 a a 0 b a
0 a a 0 b b
0 a a 0 b c
0 a a 0 c 0
0 a a 0 c a
0 a a 0 c b
0 a a 0 c c
0 a b 0 0 0
0 a b 0 0 a
0 a b 0 0 b
0 a b 0 0 c
0 a b 0 a 0
0 a b 0 a a
0 a b 0 a b
0 a b 0 a c
0 a b 0 b 0
0 a b 0 b a
0 a b 0 b b
0 a b 0 b c
0 a b 0 c 0
0 a b 0 c a
0 a b 0 c b
0 a b 0 c c
0 a c 0 0 0
0 a c 0 0 a
0 a c 0 0 b
0 a c 0 0 c
0 a c 0 a 0
0 a c 0 a a
0 a c 0 a b
0 a c 0 a c
0 a c 0 b 0
0 a c 0 b a
0 a c 0 b b
0 a c 0 b c
0 a c 0 c 0
0 a c 0 c a
0 a c 0 c b
0 a c 0 c c
0 b 0 0 0 0
0 b 0 0 0 a
0 b 0 0 0 b
0 b 0 0 0 c
0 b 0 0 a 0
0 b 0 0 a a
0 b 0 0 a b
0 b 0 0 a c
0 b 0 0 b 0
0 b 0 0 b a
0 b 0 0 b b
0 b 0 0 b c
0 b 0 0 c 0
0 b 0 0 c a
0 b 0 0 c b
0 b 0 0 c c
0 b a 0 0 0
0 b a 0 0 a
0 b a 0 0 b
0 b a 0 0 c
0 b a 0 a 0
0 b a 0 a a
0 b a 0 a b
0 b a 0 a c
0 b a 0 b 0
0 b a 0 b a
0 b a 0 b b
0 b a 0 b c
0 b a 0 c 0
0 b a 0 c a
0 b a 0 c b
0 b a 0 c c
0 b b 0 0 0
0 b b 0 0 a
0 b b 0 0 b
0 b b 0 0 c
0 b b 0 a 0
0 b b 0 a a
0 b b 0 a b
0 b b 0 a c
0 b b 0 b 0
0 b b 0 b a
0 b b 0 b b
0 b b 0 b c
0 b b 0 c 0
0 b b 0 c a
0 b b 0 c b
0 b b 0 c c
0 b c 0 0 0
0 b c 0 0 a
0 b c 0 0 b
0 b c 0 0 c
0 b c 0 a 0
0 b c 0 a a
0 b c 0 a b
0 b c 0 a c
0 b c 0 b 0
0 b c 0 b a
0 b c 0 b b
0 b c 0 b c
0 b c 0 c 0
0 b c 0 c a
0 b c 0 c b
0 b c 0 c c
0 c 0 0 0 0
0 c 0 0 0 a
0 c 0 0 0 b
0 c 0 0 0 c
0 c 0 0 a 0
0 c 0 0 a a
0 c 0 0 a b
0 c 0 0 a c
0 c 0 0 b 0
0 c 0 0 b a
0 c 0 0 b b
0 c 0 0 b c
0 c 0 0 c 0
0 c 0 0 c a
0 c 0 0 c b
0 c 0 0 c c
0 c a 0 0 0
0 c a 0 0 a
0 c a 0 0 b
0 c a 0 0 c
0 c a 0 a 0
0 c a 0 a a
0 c a 0 a b
0 c a 0 a c
0 c a 0 b 0
0 c a 0 b a
0 c a 0 b b
0 c a 0 b c
0 c a 0 c 0
0 c a 0 c a
0 c a 0 c b
0 c a 0 c c
0 c b 0 0 0
0 c b 0 0 a
0 c b 0 0 b
0 c b 0 0 c
0 c b 0 a 0
0 c b 0 a a
0 c b 0 a b
0 c b 0 a c
0 c b 0 b 0
0 c b 0 b a
0 c b 0 b b
0 c b 0 b c
0 c b 0 c 0
0 c b 0 c a
0 c b 0 c b
0 c b 0 c c
0 c c 0 0 0
0 c c 0 0 a
0 c c 0 0 b
0 c c 0 0 c
0 c c 0 a 0
0 c c 0 a a
0 c c 0 a b
0 c c 0 a c
0 c c 0 b 0
0 c c 0 b a
0 c c 0 b b
0 c c 0 b c
0 c c 0 c 0
0 c c 0 c a
0 c c 0 c b
0 c c 0 c c
Is it a nice code?: No
Generator Matrix-71
a 0 0 a 0 0
b 0 0 b 0 0
0 c 0 0 0 0
0 0 c 0 0 c
0 0 0 c 0 c
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 c
0 0 0 c c c
0 0 c 0 0 c
0 0 c 0 c c
0 0 c c 0 0
0 0 c c c 0
0 c 0 0 0 0
0 c 0 0 c 0
0 c 0 c 0 c
0 c 0 c c c
0 c c 0 0 c
0 c c 0 c c
0 c c c 0 0
0 c c c c 0
b 0 0 b 0 0
b 0 0 b c 0
b 0 0 a 0 c
b 0 0 a c c
b 0 c b 0 c
b 0 c b c c
b 0 c a 0 0
b 0 c a c 0
b c 0 b 0 0
b c 0 b c 0
b c 0 a 0 c
b c 0 a c c
b c c b 0 c
b c c b c c
b c c a 0 0
b c c a c 0
a 0 0 a 0 0
a 0 0 a c 0
a 0 0 b 0 c
a 0 0 b c c
a 0 c a 0 c
a 0 c a c c
a 0 c b 0 0
a 0 c b c 0
a c 0 a 0 0
a c 0 a c 0
a c 0 b 0 c
a c 0 b c c
a c c a 0 c
a c c a c c
a c c b 0 0
a c c b c 0
c 0 0 c 0 0
c 0 0 c c 0
c 0 0 0 0 c
c 0 0 0 c c
c 0 c c 0 c
c 0 c c c c
c 0 c 0 0 0
c 0 c 0 c 0
c c 0 c 0 0
c c 0 c c 0
c c 0 0 0 c
c c 0 0 c c
c c c c 0 c
c c c c c c
c c c 0 0 0
c c c 0 c 0
dmin: 1
Weight Enumerator: 1x0 + 2x1 + 9x2 + 20x3 + 19x4 + 10x5 + 3x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_b)2 + (X_0)3 (X_b)2 (X_c)1 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_b)2 (X_c)1 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_b)2 (X_c)3 + (X_b)2 (X_c)4 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_a)2 + (X_0)3 (X_a)2 (X_c)1 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_a)2 (X_c)1 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)2 (X_c)3 + (X_a)2 (X_c)4 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_c)6 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 a 0 a 0
0 0 a 0 a a
0 0 a 0 a b
0 0 a 0 a c
0 0 a 0 b 0
0 0 a 0 b a
0 0 a 0 b b
0 0 a 0 b c
0 0 a 0 c 0
0 0 a 0 c a
0 0 a 0 c b
0 0 a 0 c c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 b 0 a 0
0 0 b 0 a a
0 0 b 0 a b
0 0 b 0 a c
0 0 b 0 b 0
0 0 b 0 b a
0 0 b 0 b b
0 0 b 0 b c
0 0 b 0 c 0
0 0 b 0 c a
0 0 b 0 c b
0 0 b 0 c c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c
0 0 c 0 a 0
0 0 c 0 a a
0 0 c 0 a b
0 0 c 0 a c
0 0 c 0 b 0
0 0 c 0 b a
0 0 c 0 b b
0 0 c 0 b c
0 0 c 0 c 0
0 0 c 0 c a
0 0 c 0 c b
0 0 c 0 c c
0 a 0 0 0 0
0 a 0 0 0 a
0 a 0 0 0 b
0 a 0 0 0 c
0 a 0 0 a 0
0 a 0 0 a a
0 a 0 0 a b
0 a 0 0 a c
0 a 0 0 b 0
0 a 0 0 b a
0 a 0 0 b b
0 a 0 0 b c
0 a 0 0 c 0
0 a 0 0 c a
0 a 0 0 c b
0 a 0 0 c c
0 a a 0 0 0
0 a a 0 0 a
0 a a 0 0 b
0 a a 0 0 c
0 a a 0 a 0
0 a a 0 a a
0 a a 0 a b
0 a a 0 a c
0 a a 0 b 0
0 a a 0 b a
0 a a 0 b b
0 a a 0 b c
0 a a 0 c 0
0 a a 0 c a
0 a a 0 c b
0 a a 0 c c
0 a b 0 0 0
0 a b 0 0 a
0 a b 0 0 b
0 a b 0 0 c
0 a b 0 a 0
0 a b 0 a a
0 a b 0 a b
0 a b 0 a c
0 a b 0 b 0
0 a b 0 b a
0 a b 0 b b
0 a b 0 b c
0 a b 0 c 0
0 a b 0 c a
0 a b 0 c b
0 a b 0 c c
0 a c 0 0 0
0 a c 0 0 a
0 a c 0 0 b
0 a c 0 0 c
0 a c 0 a 0
0 a c 0 a a
0 a c 0 a b
0 a c 0 a c
0 a c 0 b 0
0 a c 0 b a
0 a c 0 b b
0 a c 0 b c
0 a c 0 c 0
0 a c 0 c a
0 a c 0 c b
0 a c 0 c c
0 b 0 0 0 0
0 b 0 0 0 a
0 b 0 0 0 b
0 b 0 0 0 c
0 b 0 0 a 0
0 b 0 0 a a
0 b 0 0 a b
0 b 0 0 a c
0 b 0 0 b 0
0 b 0 0 b a
0 b 0 0 b b
0 b 0 0 b c
0 b 0 0 c 0
0 b 0 0 c a
0 b 0 0 c b
0 b 0 0 c c
0 b a 0 0 0
0 b a 0 0 a
0 b a 0 0 b
0 b a 0 0 c
0 b a 0 a 0
0 b a 0 a a
0 b a 0 a b
0 b a 0 a c
0 b a 0 b 0
0 b a 0 b a
0 b a 0 b b
0 b a 0 b c
0 b a 0 c 0
0 b a 0 c a
0 b a 0 c b
0 b a 0 c c
0 b b 0 0 0
0 b b 0 0 a
0 b b 0 0 b
0 b b 0 0 c
0 b b 0 a 0
0 b b 0 a a
0 b b 0 a b
0 b b 0 a c
0 b b 0 b 0
0 b b 0 b a
0 b b 0 b b
0 b b 0 b c
0 b b 0 c 0
0 b b 0 c a
0 b b 0 c b
0 b b 0 c c
0 b c 0 0 0
0 b c 0 0 a
0 b c 0 0 b
0 b c 0 0 c
0 b c 0 a 0
0 b c 0 a a
0 b c 0 a b
0 b c 0 a c
0 b c 0 b 0
0 b c 0 b a
0 b c 0 b b
0 b c 0 b c
0 b c 0 c 0
0 b c 0 c a
0 b c 0 c b
0 b c 0 c c
0 c 0 0 0 0
0 c 0 0 0 a
0 c 0 0 0 b
0 c 0 0 0 c
0 c 0 0 a 0
0 c 0 0 a a
0 c 0 0 a b
0 c 0 0 a c
0 c 0 0 b 0
0 c 0 0 b a
0 c 0 0 b b
0 c 0 0 b c
0 c 0 0 c 0
0 c 0 0 c a
0 c 0 0 c b
0 c 0 0 c c
0 c a 0 0 0
0 c a 0 0 a
0 c a 0 0 b
0 c a 0 0 c
0 c a 0 a 0
0 c a 0 a a
0 c a 0 a b
0 c a 0 a c
0 c a 0 b 0
0 c a 0 b a
0 c a 0 b b
0 c a 0 b c
0 c a 0 c 0
0 c a 0 c a
0 c a 0 c b
0 c a 0 c c
0 c b 0 0 0
0 c b 0 0 a
0 c b 0 0 b
0 c b 0 0 c
0 c b 0 a 0
0 c b 0 a a
0 c b 0 a b
0 c b 0 a c
0 c b 0 b 0
0 c b 0 b a
0 c b 0 b b
0 c b 0 b c
0 c b 0 c 0
0 c b 0 c a
0 c b 0 c b
0 c b 0 c c
0 c c 0 0 0
0 c c 0 0 a
0 c c 0 0 b
0 c c 0 0 c
0 c c 0 a 0
0 c c 0 a a
0 c c 0 a b
0 c c 0 a c
0 c c 0 b 0
0 c c 0 b a
0 c c 0 b b
0 c c 0 b c
0 c c 0 c 0
0 c c 0 c a
0 c c 0 c b
0 c c 0 c c
Is it a nice code?: No
Generator Matrix-72
a 0 0 a 0 0
b 0 0 b 0 0
0 c 0 0 0 0
0 0 c 0 0 c
0 0 0 c 0 c
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 c
0 0 0 c c 0
0 0 c 0 0 c
0 0 c 0 c 0
0 0 c c 0 0
0 0 c c c c
0 c 0 0 0 0
0 c 0 0 c c
0 c 0 c 0 c
0 c 0 c c 0
0 c c 0 0 c
0 c c 0 c 0
0 c c c 0 0
0 c c c c c
b 0 0 b 0 0
b 0 0 b c c
b 0 0 a 0 c
b 0 0 a c 0
b 0 c b 0 c
b 0 c b c 0
b 0 c a 0 0
b 0 c a c c
b c 0 b 0 0
b c 0 b c c
b c 0 a 0 c
b c 0 a c 0
b c c b 0 c
b c c b c 0
b c c a 0 0
b c c a c c
a 0 0 a 0 0
a 0 0 a c c
a 0 0 b 0 c
a 0 0 b c 0
a 0 c a 0 c
a 0 c a c 0
a 0 c b 0 0
a 0 c b c c
a c 0 a 0 0
a c 0 a c c
a c 0 b 0 c
a c 0 b c 0
a c c a 0 c
a c c a c 0
a c c b 0 0
a c c b c c
c 0 0 c 0 0
c 0 0 c c c
c 0 0 0 0 c
c 0 0 0 c 0
c 0 c c 0 c
c 0 c c c 0
c 0 c 0 0 0
c 0 c 0 c c
c c 0 c 0 0
c c 0 c c c
c c 0 0 0 c
c c 0 0 c 0
c c c c 0 c
c c c c c 0
c c c 0 0 0
c c c 0 c c
dmin: 1
Weight Enumerator: 1x0 + 1x1 + 12x2 + 18x3 + 17x4 + 13x5 + 2x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_b)2 (X_c)1 + (X_0)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_a)1 (X_b)1 (X_c)4 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_a)2 (X_c)1 + (X_0)1 (X_a)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)1 (X_a)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_a)1 (X_b)1 (X_c)4 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 a 0 a 0
0 0 a 0 a a
0 0 a 0 a b
0 0 a 0 a c
0 0 a 0 b 0
0 0 a 0 b a
0 0 a 0 b b
0 0 a 0 b c
0 0 a 0 c 0
0 0 a 0 c a
0 0 a 0 c b
0 0 a 0 c c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 b 0 a 0
0 0 b 0 a a
0 0 b 0 a b
0 0 b 0 a c
0 0 b 0 b 0
0 0 b 0 b a
0 0 b 0 b b
0 0 b 0 b c
0 0 b 0 c 0
0 0 b 0 c a
0 0 b 0 c b
0 0 b 0 c c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c
0 0 c 0 a 0
0 0 c 0 a a
0 0 c 0 a b
0 0 c 0 a c
0 0 c 0 b 0
0 0 c 0 b a
0 0 c 0 b b
0 0 c 0 b c
0 0 c 0 c 0
0 0 c 0 c a
0 0 c 0 c b
0 0 c 0 c c
0 a 0 0 0 0
0 a 0 0 0 a
0 a 0 0 0 b
0 a 0 0 0 c
0 a 0 0 a 0
0 a 0 0 a a
0 a 0 0 a b
0 a 0 0 a c
0 a 0 0 b 0
0 a 0 0 b a
0 a 0 0 b b
0 a 0 0 b c
0 a 0 0 c 0
0 a 0 0 c a
0 a 0 0 c b
0 a 0 0 c c
0 a a 0 0 0
0 a a 0 0 a
0 a a 0 0 b
0 a a 0 0 c
0 a a 0 a 0
0 a a 0 a a
0 a a 0 a b
0 a a 0 a c
0 a a 0 b 0
0 a a 0 b a
0 a a 0 b b
0 a a 0 b c
0 a a 0 c 0
0 a a 0 c a
0 a a 0 c b
0 a a 0 c c
0 a b 0 0 0
0 a b 0 0 a
0 a b 0 0 b
0 a b 0 0 c
0 a b 0 a 0
0 a b 0 a a
0 a b 0 a b
0 a b 0 a c
0 a b 0 b 0
0 a b 0 b a
0 a b 0 b b
0 a b 0 b c
0 a b 0 c 0
0 a b 0 c a
0 a b 0 c b
0 a b 0 c c
0 a c 0 0 0
0 a c 0 0 a
0 a c 0 0 b
0 a c 0 0 c
0 a c 0 a 0
0 a c 0 a a
0 a c 0 a b
0 a c 0 a c
0 a c 0 b 0
0 a c 0 b a
0 a c 0 b b
0 a c 0 b c
0 a c 0 c 0
0 a c 0 c a
0 a c 0 c b
0 a c 0 c c
0 b 0 0 0 0
0 b 0 0 0 a
0 b 0 0 0 b
0 b 0 0 0 c
0 b 0 0 a 0
0 b 0 0 a a
0 b 0 0 a b
0 b 0 0 a c
0 b 0 0 b 0
0 b 0 0 b a
0 b 0 0 b b
0 b 0 0 b c
0 b 0 0 c 0
0 b 0 0 c a
0 b 0 0 c b
0 b 0 0 c c
0 b a 0 0 0
0 b a 0 0 a
0 b a 0 0 b
0 b a 0 0 c
0 b a 0 a 0
0 b a 0 a a
0 b a 0 a b
0 b a 0 a c
0 b a 0 b 0
0 b a 0 b a
0 b a 0 b b
0 b a 0 b c
0 b a 0 c 0
0 b a 0 c a
0 b a 0 c b
0 b a 0 c c
0 b b 0 0 0
0 b b 0 0 a
0 b b 0 0 b
0 b b 0 0 c
0 b b 0 a 0
0 b b 0 a a
0 b b 0 a b
0 b b 0 a c
0 b b 0 b 0
0 b b 0 b a
0 b b 0 b b
0 b b 0 b c
0 b b 0 c 0
0 b b 0 c a
0 b b 0 c b
0 b b 0 c c
0 b c 0 0 0
0 b c 0 0 a
0 b c 0 0 b
0 b c 0 0 c
0 b c 0 a 0
0 b c 0 a a
0 b c 0 a b
0 b c 0 a c
0 b c 0 b 0
0 b c 0 b a
0 b c 0 b b
0 b c 0 b c
0 b c 0 c 0
0 b c 0 c a
0 b c 0 c b
0 b c 0 c c
0 c 0 0 0 0
0 c 0 0 0 a
0 c 0 0 0 b
0 c 0 0 0 c
0 c 0 0 a 0
0 c 0 0 a a
0 c 0 0 a b
0 c 0 0 a c
0 c 0 0 b 0
0 c 0 0 b a
0 c 0 0 b b
0 c 0 0 b c
0 c 0 0 c 0
0 c 0 0 c a
0 c 0 0 c b
0 c 0 0 c c
0 c a 0 0 0
0 c a 0 0 a
0 c a 0 0 b
0 c a 0 0 c
0 c a 0 a 0
0 c a 0 a a
0 c a 0 a b
0 c a 0 a c
0 c a 0 b 0
0 c a 0 b a
0 c a 0 b b
0 c a 0 b c
0 c a 0 c 0
0 c a 0 c a
0 c a 0 c b
0 c a 0 c c
0 c b 0 0 0
0 c b 0 0 a
0 c b 0 0 b
0 c b 0 0 c
0 c b 0 a 0
0 c b 0 a a
0 c b 0 a b
0 c b 0 a c
0 c b 0 b 0
0 c b 0 b a
0 c b 0 b b
0 c b 0 b c
0 c b 0 c 0
0 c b 0 c a
0 c b 0 c b
0 c b 0 c c
0 c c 0 0 0
0 c c 0 0 a
0 c c 0 0 b
0 c c 0 0 c
0 c c 0 a 0
0 c c 0 a a
0 c c 0 a b
0 c c 0 a c
0 c c 0 b 0
0 c c 0 b a
0 c c 0 b b
0 c c 0 b c
0 c c 0 c 0
0 c c 0 c a
0 c c 0 c b
0 c c 0 c c
Is it a nice code?: No
Generator Matrix-73
a 0 0 a 0 0
b 0 0 b 0 0
0 c 0 0 0 c
0 0 c 0 0 0
0 0 0 c 0 0
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 0
0 0 0 c c 0
0 0 c 0 0 0
0 0 c 0 c 0
0 0 c c 0 0
0 0 c c c 0
0 c 0 0 0 c
0 c 0 0 c c
0 c 0 c 0 c
0 c 0 c c c
0 c c 0 0 c
0 c c 0 c c
0 c c c 0 c
0 c c c c c
b 0 0 b 0 0
b 0 0 b c 0
b 0 0 a 0 0
b 0 0 a c 0
b 0 c b 0 0
b 0 c b c 0
b 0 c a 0 0
b 0 c a c 0
b c 0 b 0 c
b c 0 b c c
b c 0 a 0 c
b c 0 a c c
b c c b 0 c
b c c b c c
b c c a 0 c
b c c a c c
a 0 0 a 0 0
a 0 0 a c 0
a 0 0 b 0 0
a 0 0 b c 0
a 0 c a 0 0
a 0 c a c 0
a 0 c b 0 0
a 0 c b c 0
a c 0 a 0 c
a c 0 a c c
a c 0 b 0 c
a c 0 b c c
a c c a 0 c
a c c a c c
a c c b 0 c
a c c b c c
c 0 0 c 0 0
c 0 0 c c 0
c 0 0 0 0 0
c 0 0 0 c 0
c 0 c c 0 0
c 0 c c c 0
c 0 c 0 0 0
c 0 c 0 c 0
c c 0 c 0 c
c c 0 c c c
c c 0 0 0 c
c c 0 0 c c
c c c c 0 c
c c c c c c
c c c 0 0 c
c c c 0 c c
dmin: 1
Weight Enumerator: 1x0 + 4x1 + 11x2 + 16x3 + 15x4 + 12x5 + 5x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)4 (X_b)2 + (X_0)3 (X_b)2 (X_c)1 + (X_0)4 (X_a)1 (X_b)1 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)3 (X_b)2 (X_c)1 + (X_0)2 (X_b)2 (X_c)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_b)2 (X_c)3 + (X_b)2 (X_c)4 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_a)1 (X_b)1 (X_c)4 + (X_0)4 (X_a)2 + (X_0)3 (X_a)2 (X_c)1 + (X_0)4 (X_a)1 (X_b)1 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)3 (X_a)2 (X_c)1 + (X_0)2 (X_a)2 (X_c)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)2 (X_c)3 + (X_a)2 (X_c)4 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_a)1 (X_b)1 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_c)6 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 a 0 a 0
0 0 a 0 a a
0 0 a 0 a b
0 0 a 0 a c
0 0 a 0 b 0
0 0 a 0 b a
0 0 a 0 b b
0 0 a 0 b c
0 0 a 0 c 0
0 0 a 0 c a
0 0 a 0 c b
0 0 a 0 c c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 b 0 a 0
0 0 b 0 a a
0 0 b 0 a b
0 0 b 0 a c
0 0 b 0 b 0
0 0 b 0 b a
0 0 b 0 b b
0 0 b 0 b c
0 0 b 0 c 0
0 0 b 0 c a
0 0 b 0 c b
0 0 b 0 c c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c
0 0 c 0 a 0
0 0 c 0 a a
0 0 c 0 a b
0 0 c 0 a c
0 0 c 0 b 0
0 0 c 0 b a
0 0 c 0 b b
0 0 c 0 b c
0 0 c 0 c 0
0 0 c 0 c a
0 0 c 0 c b
0 0 c 0 c c
0 a 0 0 0 0
0 a 0 0 0 a
0 a 0 0 0 b
0 a 0 0 0 c
0 a 0 0 a 0
0 a 0 0 a a
0 a 0 0 a b
0 a 0 0 a c
0 a 0 0 b 0
0 a 0 0 b a
0 a 0 0 b b
0 a 0 0 b c
0 a 0 0 c 0
0 a 0 0 c a
0 a 0 0 c b
0 a 0 0 c c
0 a a 0 0 0
0 a a 0 0 a
0 a a 0 0 b
0 a a 0 0 c
0 a a 0 a 0
0 a a 0 a a
0 a a 0 a b
0 a a 0 a c
0 a a 0 b 0
0 a a 0 b a
0 a a 0 b b
0 a a 0 b c
0 a a 0 c 0
0 a a 0 c a
0 a a 0 c b
0 a a 0 c c
0 a b 0 0 0
0 a b 0 0 a
0 a b 0 0 b
0 a b 0 0 c
0 a b 0 a 0
0 a b 0 a a
0 a b 0 a b
0 a b 0 a c
0 a b 0 b 0
0 a b 0 b a
0 a b 0 b b
0 a b 0 b c
0 a b 0 c 0
0 a b 0 c a
0 a b 0 c b
0 a b 0 c c
0 a c 0 0 0
0 a c 0 0 a
0 a c 0 0 b
0 a c 0 0 c
0 a c 0 a 0
0 a c 0 a a
0 a c 0 a b
0 a c 0 a c
0 a c 0 b 0
0 a c 0 b a
0 a c 0 b b
0 a c 0 b c
0 a c 0 c 0
0 a c 0 c a
0 a c 0 c b
0 a c 0 c c
0 b 0 0 0 0
0 b 0 0 0 a
0 b 0 0 0 b
0 b 0 0 0 c
0 b 0 0 a 0
0 b 0 0 a a
0 b 0 0 a b
0 b 0 0 a c
0 b 0 0 b 0
0 b 0 0 b a
0 b 0 0 b b
0 b 0 0 b c
0 b 0 0 c 0
0 b 0 0 c a
0 b 0 0 c b
0 b 0 0 c c
0 b a 0 0 0
0 b a 0 0 a
0 b a 0 0 b
0 b a 0 0 c
0 b a 0 a 0
0 b a 0 a a
0 b a 0 a b
0 b a 0 a c
0 b a 0 b 0
0 b a 0 b a
0 b a 0 b b
0 b a 0 b c
0 b a 0 c 0
0 b a 0 c a
0 b a 0 c b
0 b a 0 c c
0 b b 0 0 0
0 b b 0 0 a
0 b b 0 0 b
0 b b 0 0 c
0 b b 0 a 0
0 b b 0 a a
0 b b 0 a b
0 b b 0 a c
0 b b 0 b 0
0 b b 0 b a
0 b b 0 b b
0 b b 0 b c
0 b b 0 c 0
0 b b 0 c a
0 b b 0 c b
0 b b 0 c c
0 b c 0 0 0
0 b c 0 0 a
0 b c 0 0 b
0 b c 0 0 c
0 b c 0 a 0
0 b c 0 a a
0 b c 0 a b
0 b c 0 a c
0 b c 0 b 0
0 b c 0 b a
0 b c 0 b b
0 b c 0 b c
0 b c 0 c 0
0 b c 0 c a
0 b c 0 c b
0 b c 0 c c
0 c 0 0 0 0
0 c 0 0 0 a
0 c 0 0 0 b
0 c 0 0 0 c
0 c 0 0 a 0
0 c 0 0 a a
0 c 0 0 a b
0 c 0 0 a c
0 c 0 0 b 0
0 c 0 0 b a
0 c 0 0 b b
0 c 0 0 b c
0 c 0 0 c 0
0 c 0 0 c a
0 c 0 0 c b
0 c 0 0 c c
0 c a 0 0 0
0 c a 0 0 a
0 c a 0 0 b
0 c a 0 0 c
0 c a 0 a 0
0 c a 0 a a
0 c a 0 a b
0 c a 0 a c
0 c a 0 b 0
0 c a 0 b a
0 c a 0 b b
0 c a 0 b c
0 c a 0 c 0
0 c a 0 c a
0 c a 0 c b
0 c a 0 c c
0 c b 0 0 0
0 c b 0 0 a
0 c b 0 0 b
0 c b 0 0 c
0 c b 0 a 0
0 c b 0 a a
0 c b 0 a b
0 c b 0 a c
0 c b 0 b 0
0 c b 0 b a
0 c b 0 b b
0 c b 0 b c
0 c b 0 c 0
0 c b 0 c a
0 c b 0 c b
0 c b 0 c c
0 c c 0 0 0
0 c c 0 0 a
0 c c 0 0 b
0 c c 0 0 c
0 c c 0 a 0
0 c c 0 a a
0 c c 0 a b
0 c c 0 a c
0 c c 0 b 0
0 c c 0 b a
0 c c 0 b b
0 c c 0 b c
0 c c 0 c 0
0 c c 0 c a
0 c c 0 c b
0 c c 0 c c
Is it a nice code?: No
Generator Matrix-74
a 0 0 a 0 0
b 0 0 b 0 0
0 c 0 0 0 c
0 0 c 0 0 0
0 0 0 c 0 0
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 0
0 0 0 c c c
0 0 c 0 0 0
0 0 c 0 c c
0 0 c c 0 0
0 0 c c c c
0 c 0 0 0 c
0 c 0 0 c 0
0 c 0 c 0 c
0 c 0 c c 0
0 c c 0 0 c
0 c c 0 c 0
0 c c c 0 c
0 c c c c 0
b 0 0 b 0 0
b 0 0 b c c
b 0 0 a 0 0
b 0 0 a c c
b 0 c b 0 0
b 0 c b c c
b 0 c a 0 0
b 0 c a c c
b c 0 b 0 c
b c 0 b c 0
b c 0 a 0 c
b c 0 a c 0
b c c b 0 c
b c c b c 0
b c c a 0 c
b c c a c 0
a 0 0 a 0 0
a 0 0 a c c
a 0 0 b 0 0
a 0 0 b c c
a 0 c a 0 0
a 0 c a c c
a 0 c b 0 0
a 0 c b c c
a c 0 a 0 c
a c 0 a c 0
a c 0 b 0 c
a c 0 b c 0
a c c a 0 c
a c c a c 0
a c c b 0 c
a c c b c 0
c 0 0 c 0 0
c 0 0 c c c
c 0 0 0 0 0
c 0 0 0 c c
c 0 c c 0 0
c 0 c c c c
c 0 c 0 0 0
c 0 c 0 c c
c c 0 c 0 c
c c 0 c c 0
c c 0 0 0 c
c c 0 0 c 0
c c c c 0 c
c c c c c 0
c c c 0 0 c
c c c 0 c 0
dmin: 1
Weight Enumerator: 1x0 + 3x1 + 10x2 + 14x3 + 21x4 + 15x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)4 (X_a)1 (X_b)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_b)2 (X_c)1 + (X_0)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)4 (X_a)1 (X_b)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_a)2 (X_c)1 + (X_0)1 (X_a)2 (X_c)3 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)1 (X_a)2 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 a 0 a 0
0 0 a 0 a a
0 0 a 0 a b
0 0 a 0 a c
0 0 a 0 b 0
0 0 a 0 b a
0 0 a 0 b b
0 0 a 0 b c
0 0 a 0 c 0
0 0 a 0 c a
0 0 a 0 c b
0 0 a 0 c c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 b 0 a 0
0 0 b 0 a a
0 0 b 0 a b
0 0 b 0 a c
0 0 b 0 b 0
0 0 b 0 b a
0 0 b 0 b b
0 0 b 0 b c
0 0 b 0 c 0
0 0 b 0 c a
0 0 b 0 c b
0 0 b 0 c c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c
0 0 c 0 a 0
0 0 c 0 a a
0 0 c 0 a b
0 0 c 0 a c
0 0 c 0 b 0
0 0 c 0 b a
0 0 c 0 b b
0 0 c 0 b c
0 0 c 0 c 0
0 0 c 0 c a
0 0 c 0 c b
0 0 c 0 c c
0 a 0 0 0 0
0 a 0 0 0 a
0 a 0 0 0 b
0 a 0 0 0 c
0 a 0 0 a 0
0 a 0 0 a a
0 a 0 0 a b
0 a 0 0 a c
0 a 0 0 b 0
0 a 0 0 b a
0 a 0 0 b b
0 a 0 0 b c
0 a 0 0 c 0
0 a 0 0 c a
0 a 0 0 c b
0 a 0 0 c c
0 a a 0 0 0
0 a a 0 0 a
0 a a 0 0 b
0 a a 0 0 c
0 a a 0 a 0
0 a a 0 a a
0 a a 0 a b
0 a a 0 a c
0 a a 0 b 0
0 a a 0 b a
0 a a 0 b b
0 a a 0 b c
0 a a 0 c 0
0 a a 0 c a
0 a a 0 c b
0 a a 0 c c
0 a b 0 0 0
0 a b 0 0 a
0 a b 0 0 b
0 a b 0 0 c
0 a b 0 a 0
0 a b 0 a a
0 a b 0 a b
0 a b 0 a c
0 a b 0 b 0
0 a b 0 b a
0 a b 0 b b
0 a b 0 b c
0 a b 0 c 0
0 a b 0 c a
0 a b 0 c b
0 a b 0 c c
0 a c 0 0 0
0 a c 0 0 a
0 a c 0 0 b
0 a c 0 0 c
0 a c 0 a 0
0 a c 0 a a
0 a c 0 a b
0 a c 0 a c
0 a c 0 b 0
0 a c 0 b a
0 a c 0 b b
0 a c 0 b c
0 a c 0 c 0
0 a c 0 c a
0 a c 0 c b
0 a c 0 c c
0 b 0 0 0 0
0 b 0 0 0 a
0 b 0 0 0 b
0 b 0 0 0 c
0 b 0 0 a 0
0 b 0 0 a a
0 b 0 0 a b
0 b 0 0 a c
0 b 0 0 b 0
0 b 0 0 b a
0 b 0 0 b b
0 b 0 0 b c
0 b 0 0 c 0
0 b 0 0 c a
0 b 0 0 c b
0 b 0 0 c c
0 b a 0 0 0
0 b a 0 0 a
0 b a 0 0 b
0 b a 0 0 c
0 b a 0 a 0
0 b a 0 a a
0 b a 0 a b
0 b a 0 a c
0 b a 0 b 0
0 b a 0 b a
0 b a 0 b b
0 b a 0 b c
0 b a 0 c 0
0 b a 0 c a
0 b a 0 c b
0 b a 0 c c
0 b b 0 0 0
0 b b 0 0 a
0 b b 0 0 b
0 b b 0 0 c
0 b b 0 a 0
0 b b 0 a a
0 b b 0 a b
0 b b 0 a c
0 b b 0 b 0
0 b b 0 b a
0 b b 0 b b
0 b b 0 b c
0 b b 0 c 0
0 b b 0 c a
0 b b 0 c b
0 b b 0 c c
0 b c 0 0 0
0 b c 0 0 a
0 b c 0 0 b
0 b c 0 0 c
0 b c 0 a 0
0 b c 0 a a
0 b c 0 a b
0 b c 0 a c
0 b c 0 b 0
0 b c 0 b a
0 b c 0 b b
0 b c 0 b c
0 b c 0 c 0
0 b c 0 c a
0 b c 0 c b
0 b c 0 c c
0 c 0 0 0 0
0 c 0 0 0 a
0 c 0 0 0 b
0 c 0 0 0 c
0 c 0 0 a 0
0 c 0 0 a a
0 c 0 0 a b
0 c 0 0 a c
0 c 0 0 b 0
0 c 0 0 b a
0 c 0 0 b b
0 c 0 0 b c
0 c 0 0 c 0
0 c 0 0 c a
0 c 0 0 c b
0 c 0 0 c c
0 c a 0 0 0
0 c a 0 0 a
0 c a 0 0 b
0 c a 0 0 c
0 c a 0 a 0
0 c a 0 a a
0 c a 0 a b
0 c a 0 a c
0 c a 0 b 0
0 c a 0 b a
0 c a 0 b b
0 c a 0 b c
0 c a 0 c 0
0 c a 0 c a
0 c a 0 c b
0 c a 0 c c
0 c b 0 0 0
0 c b 0 0 a
0 c b 0 0 b
0 c b 0 0 c
0 c b 0 a 0
0 c b 0 a a
0 c b 0 a b
0 c b 0 a c
0 c b 0 b 0
0 c b 0 b a
0 c b 0 b b
0 c b 0 b c
0 c b 0 c 0
0 c b 0 c a
0 c b 0 c b
0 c b 0 c c
0 c c 0 0 0
0 c c 0 0 a
0 c c 0 0 b
0 c c 0 0 c
0 c c 0 a 0
0 c c 0 a a
0 c c 0 a b
0 c c 0 a c
0 c c 0 b 0
0 c c 0 b a
0 c c 0 b b
0 c c 0 b c
0 c c 0 c 0
0 c c 0 c a
0 c c 0 c b
0 c c 0 c c
Is it a nice code?: No
Generator Matrix-75
a 0 0 a 0 0
b 0 0 b 0 0
0 c 0 0 0 c
0 0 c 0 0 0
0 0 0 c 0 c
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 c
0 0 0 c c c
0 0 c 0 0 0
0 0 c 0 c 0
0 0 c c 0 c
0 0 c c c c
0 c 0 0 0 c
0 c 0 0 c c
0 c 0 c 0 0
0 c 0 c c 0
0 c c 0 0 c
0 c c 0 c c
0 c c c 0 0
0 c c c c 0
b 0 0 b 0 0
b 0 0 b c 0
b 0 0 a 0 c
b 0 0 a c c
b 0 c b 0 0
b 0 c b c 0
b 0 c a 0 c
b 0 c a c c
b c 0 b 0 c
b c 0 b c c
b c 0 a 0 0
b c 0 a c 0
b c c b 0 c
b c c b c c
b c c a 0 0
b c c a c 0
a 0 0 a 0 0
a 0 0 a c 0
a 0 0 b 0 c
a 0 0 b c c
a 0 c a 0 0
a 0 c a c 0
a 0 c b 0 c
a 0 c b c c
a c 0 a 0 c
a c 0 a c c
a c 0 b 0 0
a c 0 b c 0
a c c a 0 c
a c c a c c
a c c b 0 0
a c c b c 0
c 0 0 c 0 0
c 0 0 c c 0
c 0 0 0 0 c
c 0 0 0 c c
c 0 c c 0 0
c 0 c c c 0
c 0 c 0 0 c
c 0 c 0 c c
c c 0 c 0 c
c c 0 c c c
c c 0 0 0 0
c c 0 0 c 0
c c c c 0 c
c c c c c c
c c c 0 0 0
c c c 0 c 0
dmin: 1
Weight Enumerator: 1x0 + 2x1 + 9x2 + 20x3 + 19x4 + 10x5 + 3x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_b)2 + (X_0)3 (X_b)2 (X_c)1 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_b)2 (X_c)1 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_b)2 (X_c)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_b)2 (X_c)3 + (X_b)2 (X_c)4 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_a)2 + (X_0)3 (X_a)2 (X_c)1 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_a)2 (X_c)1 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_c)3 + (X_a)2 (X_c)4 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_c)6 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 a 0 a 0
0 0 a 0 a a
0 0 a 0 a b
0 0 a 0 a c
0 0 a 0 b 0
0 0 a 0 b a
0 0 a 0 b b
0 0 a 0 b c
0 0 a 0 c 0
0 0 a 0 c a
0 0 a 0 c b
0 0 a 0 c c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 b 0 a 0
0 0 b 0 a a
0 0 b 0 a b
0 0 b 0 a c
0 0 b 0 b 0
0 0 b 0 b a
0 0 b 0 b b
0 0 b 0 b c
0 0 b 0 c 0
0 0 b 0 c a
0 0 b 0 c b
0 0 b 0 c c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c
0 0 c 0 a 0
0 0 c 0 a a
0 0 c 0 a b
0 0 c 0 a c
0 0 c 0 b 0
0 0 c 0 b a
0 0 c 0 b b
0 0 c 0 b c
0 0 c 0 c 0
0 0 c 0 c a
0 0 c 0 c b
0 0 c 0 c c
0 a 0 0 0 0
0 a 0 0 0 a
0 a 0 0 0 b
0 a 0 0 0 c
0 a 0 0 a 0
0 a 0 0 a a
0 a 0 0 a b
0 a 0 0 a c
0 a 0 0 b 0
0 a 0 0 b a
0 a 0 0 b b
0 a 0 0 b c
0 a 0 0 c 0
0 a 0 0 c a
0 a 0 0 c b
0 a 0 0 c c
0 a a 0 0 0
0 a a 0 0 a
0 a a 0 0 b
0 a a 0 0 c
0 a a 0 a 0
0 a a 0 a a
0 a a 0 a b
0 a a 0 a c
0 a a 0 b 0
0 a a 0 b a
0 a a 0 b b
0 a a 0 b c
0 a a 0 c 0
0 a a 0 c a
0 a a 0 c b
0 a a 0 c c
0 a b 0 0 0
0 a b 0 0 a
0 a b 0 0 b
0 a b 0 0 c
0 a b 0 a 0
0 a b 0 a a
0 a b 0 a b
0 a b 0 a c
0 a b 0 b 0
0 a b 0 b a
0 a b 0 b b
0 a b 0 b c
0 a b 0 c 0
0 a b 0 c a
0 a b 0 c b
0 a b 0 c c
0 a c 0 0 0
0 a c 0 0 a
0 a c 0 0 b
0 a c 0 0 c
0 a c 0 a 0
0 a c 0 a a
0 a c 0 a b
0 a c 0 a c
0 a c 0 b 0
0 a c 0 b a
0 a c 0 b b
0 a c 0 b c
0 a c 0 c 0
0 a c 0 c a
0 a c 0 c b
0 a c 0 c c
0 b 0 0 0 0
0 b 0 0 0 a
0 b 0 0 0 b
0 b 0 0 0 c
0 b 0 0 a 0
0 b 0 0 a a
0 b 0 0 a b
0 b 0 0 a c
0 b 0 0 b 0
0 b 0 0 b a
0 b 0 0 b b
0 b 0 0 b c
0 b 0 0 c 0
0 b 0 0 c a
0 b 0 0 c b
0 b 0 0 c c
0 b a 0 0 0
0 b a 0 0 a
0 b a 0 0 b
0 b a 0 0 c
0 b a 0 a 0
0 b a 0 a a
0 b a 0 a b
0 b a 0 a c
0 b a 0 b 0
0 b a 0 b a
0 b a 0 b b
0 b a 0 b c
0 b a 0 c 0
0 b a 0 c a
0 b a 0 c b
0 b a 0 c c
0 b b 0 0 0
0 b b 0 0 a
0 b b 0 0 b
0 b b 0 0 c
0 b b 0 a 0
0 b b 0 a a
0 b b 0 a b
0 b b 0 a c
0 b b 0 b 0
0 b b 0 b a
0 b b 0 b b
0 b b 0 b c
0 b b 0 c 0
0 b b 0 c a
0 b b 0 c b
0 b b 0 c c
0 b c 0 0 0
0 b c 0 0 a
0 b c 0 0 b
0 b c 0 0 c
0 b c 0 a 0
0 b c 0 a a
0 b c 0 a b
0 b c 0 a c
0 b c 0 b 0
0 b c 0 b a
0 b c 0 b b
0 b c 0 b c
0 b c 0 c 0
0 b c 0 c a
0 b c 0 c b
0 b c 0 c c
0 c 0 0 0 0
0 c 0 0 0 a
0 c 0 0 0 b
0 c 0 0 0 c
0 c 0 0 a 0
0 c 0 0 a a
0 c 0 0 a b
0 c 0 0 a c
0 c 0 0 b 0
0 c 0 0 b a
0 c 0 0 b b
0 c 0 0 b c
0 c 0 0 c 0
0 c 0 0 c a
0 c 0 0 c b
0 c 0 0 c c
0 c a 0 0 0
0 c a 0 0 a
0 c a 0 0 b
0 c a 0 0 c
0 c a 0 a 0
0 c a 0 a a
0 c a 0 a b
0 c a 0 a c
0 c a 0 b 0
0 c a 0 b a
0 c a 0 b b
0 c a 0 b c
0 c a 0 c 0
0 c a 0 c a
0 c a 0 c b
0 c a 0 c c
0 c b 0 0 0
0 c b 0 0 a
0 c b 0 0 b
0 c b 0 0 c
0 c b 0 a 0
0 c b 0 a a
0 c b 0 a b
0 c b 0 a c
0 c b 0 b 0
0 c b 0 b a
0 c b 0 b b
0 c b 0 b c
0 c b 0 c 0
0 c b 0 c a
0 c b 0 c b
0 c b 0 c c
0 c c 0 0 0
0 c c 0 0 a
0 c c 0 0 b
0 c c 0 0 c
0 c c 0 a 0
0 c c 0 a a
0 c c 0 a b
0 c c 0 a c
0 c c 0 b 0
0 c c 0 b a
0 c c 0 b b
0 c c 0 b c
0 c c 0 c 0
0 c c 0 c a
0 c c 0 c b
0 c c 0 c c
Is it a nice code?: No
Generator Matrix-76
a 0 0 a 0 0
b 0 0 b 0 0
0 c 0 0 0 c
0 0 c 0 0 0
0 0 0 c 0 c
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 c
0 0 0 c c 0
0 0 c 0 0 0
0 0 c 0 c c
0 0 c c 0 c
0 0 c c c 0
0 c 0 0 0 c
0 c 0 0 c 0
0 c 0 c 0 0
0 c 0 c c c
0 c c 0 0 c
0 c c 0 c 0
0 c c c 0 0
0 c c c c c
b 0 0 b 0 0
b 0 0 b c c
b 0 0 a 0 c
b 0 0 a c 0
b 0 c b 0 0
b 0 c b c c
b 0 c a 0 c
b 0 c a c 0
b c 0 b 0 c
b c 0 b c 0
b c 0 a 0 0
b c 0 a c c
b c c b 0 c
b c c b c 0
b c c a 0 0
b c c a c c
a 0 0 a 0 0
a 0 0 a c c
a 0 0 b 0 c
a 0 0 b c 0
a 0 c a 0 0
a 0 c a c c
a 0 c b 0 c
a 0 c b c 0
a c 0 a 0 c
a c 0 a c 0
a c 0 b 0 0
a c 0 b c c
a c c a 0 c
a c c a c 0
a c c b 0 0
a c c b c c
c 0 0 c 0 0
c 0 0 c c c
c 0 0 0 0 c
c 0 0 0 c 0
c 0 c c 0 0
c 0 c c c c
c 0 c 0 0 c
c 0 c 0 c 0
c c 0 c 0 c
c c 0 c c 0
c c 0 0 0 0
c c 0 0 c c
c c c c 0 c
c c c c c 0
c c c 0 0 0
c c c 0 c c
dmin: 1
Weight Enumerator: 1x0 + 1x1 + 12x2 + 18x3 + 17x4 + 13x5 + 2x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)3 (X_b)2 (X_c)1 + (X_0)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_b)2 (X_c)3 + (X_0)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_a)1 (X_b)1 (X_c)4 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)3 (X_a)2 (X_c)1 + (X_0)1 (X_a)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)2 (X_c)3 + (X_0)1 (X_a)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_a)1 (X_b)1 (X_c)4 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 a 0 a 0
0 0 a 0 a a
0 0 a 0 a b
0 0 a 0 a c
0 0 a 0 b 0
0 0 a 0 b a
0 0 a 0 b b
0 0 a 0 b c
0 0 a 0 c 0
0 0 a 0 c a
0 0 a 0 c b
0 0 a 0 c c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 b 0 a 0
0 0 b 0 a a
0 0 b 0 a b
0 0 b 0 a c
0 0 b 0 b 0
0 0 b 0 b a
0 0 b 0 b b
0 0 b 0 b c
0 0 b 0 c 0
0 0 b 0 c a
0 0 b 0 c b
0 0 b 0 c c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c
0 0 c 0 a 0
0 0 c 0 a a
0 0 c 0 a b
0 0 c 0 a c
0 0 c 0 b 0
0 0 c 0 b a
0 0 c 0 b b
0 0 c 0 b c
0 0 c 0 c 0
0 0 c 0 c a
0 0 c 0 c b
0 0 c 0 c c
0 a 0 0 0 0
0 a 0 0 0 a
0 a 0 0 0 b
0 a 0 0 0 c
0 a 0 0 a 0
0 a 0 0 a a
0 a 0 0 a b
0 a 0 0 a c
0 a 0 0 b 0
0 a 0 0 b a
0 a 0 0 b b
0 a 0 0 b c
0 a 0 0 c 0
0 a 0 0 c a
0 a 0 0 c b
0 a 0 0 c c
0 a a 0 0 0
0 a a 0 0 a
0 a a 0 0 b
0 a a 0 0 c
0 a a 0 a 0
0 a a 0 a a
0 a a 0 a b
0 a a 0 a c
0 a a 0 b 0
0 a a 0 b a
0 a a 0 b b
0 a a 0 b c
0 a a 0 c 0
0 a a 0 c a
0 a a 0 c b
0 a a 0 c c
0 a b 0 0 0
0 a b 0 0 a
0 a b 0 0 b
0 a b 0 0 c
0 a b 0 a 0
0 a b 0 a a
0 a b 0 a b
0 a b 0 a c
0 a b 0 b 0
0 a b 0 b a
0 a b 0 b b
0 a b 0 b c
0 a b 0 c 0
0 a b 0 c a
0 a b 0 c b
0 a b 0 c c
0 a c 0 0 0
0 a c 0 0 a
0 a c 0 0 b
0 a c 0 0 c
0 a c 0 a 0
0 a c 0 a a
0 a c 0 a b
0 a c 0 a c
0 a c 0 b 0
0 a c 0 b a
0 a c 0 b b
0 a c 0 b c
0 a c 0 c 0
0 a c 0 c a
0 a c 0 c b
0 a c 0 c c
0 b 0 0 0 0
0 b 0 0 0 a
0 b 0 0 0 b
0 b 0 0 0 c
0 b 0 0 a 0
0 b 0 0 a a
0 b 0 0 a b
0 b 0 0 a c
0 b 0 0 b 0
0 b 0 0 b a
0 b 0 0 b b
0 b 0 0 b c
0 b 0 0 c 0
0 b 0 0 c a
0 b 0 0 c b
0 b 0 0 c c
0 b a 0 0 0
0 b a 0 0 a
0 b a 0 0 b
0 b a 0 0 c
0 b a 0 a 0
0 b a 0 a a
0 b a 0 a b
0 b a 0 a c
0 b a 0 b 0
0 b a 0 b a
0 b a 0 b b
0 b a 0 b c
0 b a 0 c 0
0 b a 0 c a
0 b a 0 c b
0 b a 0 c c
0 b b 0 0 0
0 b b 0 0 a
0 b b 0 0 b
0 b b 0 0 c
0 b b 0 a 0
0 b b 0 a a
0 b b 0 a b
0 b b 0 a c
0 b b 0 b 0
0 b b 0 b a
0 b b 0 b b
0 b b 0 b c
0 b b 0 c 0
0 b b 0 c a
0 b b 0 c b
0 b b 0 c c
0 b c 0 0 0
0 b c 0 0 a
0 b c 0 0 b
0 b c 0 0 c
0 b c 0 a 0
0 b c 0 a a
0 b c 0 a b
0 b c 0 a c
0 b c 0 b 0
0 b c 0 b a
0 b c 0 b b
0 b c 0 b c
0 b c 0 c 0
0 b c 0 c a
0 b c 0 c b
0 b c 0 c c
0 c 0 0 0 0
0 c 0 0 0 a
0 c 0 0 0 b
0 c 0 0 0 c
0 c 0 0 a 0
0 c 0 0 a a
0 c 0 0 a b
0 c 0 0 a c
0 c 0 0 b 0
0 c 0 0 b a
0 c 0 0 b b
0 c 0 0 b c
0 c 0 0 c 0
0 c 0 0 c a
0 c 0 0 c b
0 c 0 0 c c
0 c a 0 0 0
0 c a 0 0 a
0 c a 0 0 b
0 c a 0 0 c
0 c a 0 a 0
0 c a 0 a a
0 c a 0 a b
0 c a 0 a c
0 c a 0 b 0
0 c a 0 b a
0 c a 0 b b
0 c a 0 b c
0 c a 0 c 0
0 c a 0 c a
0 c a 0 c b
0 c a 0 c c
0 c b 0 0 0
0 c b 0 0 a
0 c b 0 0 b
0 c b 0 0 c
0 c b 0 a 0
0 c b 0 a a
0 c b 0 a b
0 c b 0 a c
0 c b 0 b 0
0 c b 0 b a
0 c b 0 b b
0 c b 0 b c
0 c b 0 c 0
0 c b 0 c a
0 c b 0 c b
0 c b 0 c c
0 c c 0 0 0
0 c c 0 0 a
0 c c 0 0 b
0 c c 0 0 c
0 c c 0 a 0
0 c c 0 a a
0 c c 0 a b
0 c c 0 a c
0 c c 0 b 0
0 c c 0 b a
0 c c 0 b b
0 c c 0 b c
0 c c 0 c 0
0 c c 0 c a
0 c c 0 c b
0 c c 0 c c
Is it a nice code?: No
Generator Matrix-77
a 0 0 a 0 0
b 0 0 b 0 0
0 c 0 0 0 c
0 0 c 0 0 c
0 0 0 c 0 0
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 0
0 0 0 c c 0
0 0 c 0 0 c
0 0 c 0 c c
0 0 c c 0 c
0 0 c c c c
0 c 0 0 0 c
0 c 0 0 c c
0 c 0 c 0 c
0 c 0 c c c
0 c c 0 0 0
0 c c 0 c 0
0 c c c 0 0
0 c c c c 0
b 0 0 b 0 0
b 0 0 b c 0
b 0 0 a 0 0
b 0 0 a c 0
b 0 c b 0 c
b 0 c b c c
b 0 c a 0 c
b 0 c a c c
b c 0 b 0 c
b c 0 b c c
b c 0 a 0 c
b c 0 a c c
b c c b 0 0
b c c b c 0
b c c a 0 0
b c c a c 0
a 0 0 a 0 0
a 0 0 a c 0
a 0 0 b 0 0
a 0 0 b c 0
a 0 c a 0 c
a 0 c a c c
a 0 c b 0 c
a 0 c b c c
a c 0 a 0 c
a c 0 a c c
a c 0 b 0 c
a c 0 b c c
a c c a 0 0
a c c a c 0
a c c b 0 0
a c c b c 0
c 0 0 c 0 0
c 0 0 c c 0
c 0 0 0 0 0
c 0 0 0 c 0
c 0 c c 0 c
c 0 c c c c
c 0 c 0 0 c
c 0 c 0 c c
c c 0 c 0 c
c c 0 c c c
c c 0 0 0 c
c c 0 0 c c
c c c c 0 0
c c c c c 0
c c c 0 0 0
c c c 0 c 0
dmin: 1
Weight Enumerator: 1x0 + 3x1 + 10x2 + 14x3 + 21x4 + 15x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_b)2 + (X_0)3 (X_b)2 (X_c)1 + (X_0)4 (X_a)1 (X_b)1 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_b)2 (X_c)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_b)2 (X_c)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_b)2 (X_c)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_a)2 + (X_0)3 (X_a)2 (X_c)1 + (X_0)4 (X_a)1 (X_b)1 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 a 0 a 0
0 0 a 0 a a
0 0 a 0 a b
0 0 a 0 a c
0 0 a 0 b 0
0 0 a 0 b a
0 0 a 0 b b
0 0 a 0 b c
0 0 a 0 c 0
0 0 a 0 c a
0 0 a 0 c b
0 0 a 0 c c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 b 0 a 0
0 0 b 0 a a
0 0 b 0 a b
0 0 b 0 a c
0 0 b 0 b 0
0 0 b 0 b a
0 0 b 0 b b
0 0 b 0 b c
0 0 b 0 c 0
0 0 b 0 c a
0 0 b 0 c b
0 0 b 0 c c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c
0 0 c 0 a 0
0 0 c 0 a a
0 0 c 0 a b
0 0 c 0 a c
0 0 c 0 b 0
0 0 c 0 b a
0 0 c 0 b b
0 0 c 0 b c
0 0 c 0 c 0
0 0 c 0 c a
0 0 c 0 c b
0 0 c 0 c c
0 a 0 0 0 0
0 a 0 0 0 a
0 a 0 0 0 b
0 a 0 0 0 c
0 a 0 0 a 0
0 a 0 0 a a
0 a 0 0 a b
0 a 0 0 a c
0 a 0 0 b 0
0 a 0 0 b a
0 a 0 0 b b
0 a 0 0 b c
0 a 0 0 c 0
0 a 0 0 c a
0 a 0 0 c b
0 a 0 0 c c
0 a a 0 0 0
0 a a 0 0 a
0 a a 0 0 b
0 a a 0 0 c
0 a a 0 a 0
0 a a 0 a a
0 a a 0 a b
0 a a 0 a c
0 a a 0 b 0
0 a a 0 b a
0 a a 0 b b
0 a a 0 b c
0 a a 0 c 0
0 a a 0 c a
0 a a 0 c b
0 a a 0 c c
0 a b 0 0 0
0 a b 0 0 a
0 a b 0 0 b
0 a b 0 0 c
0 a b 0 a 0
0 a b 0 a a
0 a b 0 a b
0 a b 0 a c
0 a b 0 b 0
0 a b 0 b a
0 a b 0 b b
0 a b 0 b c
0 a b 0 c 0
0 a b 0 c a
0 a b 0 c b
0 a b 0 c c
0 a c 0 0 0
0 a c 0 0 a
0 a c 0 0 b
0 a c 0 0 c
0 a c 0 a 0
0 a c 0 a a
0 a c 0 a b
0 a c 0 a c
0 a c 0 b 0
0 a c 0 b a
0 a c 0 b b
0 a c 0 b c
0 a c 0 c 0
0 a c 0 c a
0 a c 0 c b
0 a c 0 c c
0 b 0 0 0 0
0 b 0 0 0 a
0 b 0 0 0 b
0 b 0 0 0 c
0 b 0 0 a 0
0 b 0 0 a a
0 b 0 0 a b
0 b 0 0 a c
0 b 0 0 b 0
0 b 0 0 b a
0 b 0 0 b b
0 b 0 0 b c
0 b 0 0 c 0
0 b 0 0 c a
0 b 0 0 c b
0 b 0 0 c c
0 b a 0 0 0
0 b a 0 0 a
0 b a 0 0 b
0 b a 0 0 c
0 b a 0 a 0
0 b a 0 a a
0 b a 0 a b
0 b a 0 a c
0 b a 0 b 0
0 b a 0 b a
0 b a 0 b b
0 b a 0 b c
0 b a 0 c 0
0 b a 0 c a
0 b a 0 c b
0 b a 0 c c
0 b b 0 0 0
0 b b 0 0 a
0 b b 0 0 b
0 b b 0 0 c
0 b b 0 a 0
0 b b 0 a a
0 b b 0 a b
0 b b 0 a c
0 b b 0 b 0
0 b b 0 b a
0 b b 0 b b
0 b b 0 b c
0 b b 0 c 0
0 b b 0 c a
0 b b 0 c b
0 b b 0 c c
0 b c 0 0 0
0 b c 0 0 a
0 b c 0 0 b
0 b c 0 0 c
0 b c 0 a 0
0 b c 0 a a
0 b c 0 a b
0 b c 0 a c
0 b c 0 b 0
0 b c 0 b a
0 b c 0 b b
0 b c 0 b c
0 b c 0 c 0
0 b c 0 c a
0 b c 0 c b
0 b c 0 c c
0 c 0 0 0 0
0 c 0 0 0 a
0 c 0 0 0 b
0 c 0 0 0 c
0 c 0 0 a 0
0 c 0 0 a a
0 c 0 0 a b
0 c 0 0 a c
0 c 0 0 b 0
0 c 0 0 b a
0 c 0 0 b b
0 c 0 0 b c
0 c 0 0 c 0
0 c 0 0 c a
0 c 0 0 c b
0 c 0 0 c c
0 c a 0 0 0
0 c a 0 0 a
0 c a 0 0 b
0 c a 0 0 c
0 c a 0 a 0
0 c a 0 a a
0 c a 0 a b
0 c a 0 a c
0 c a 0 b 0
0 c a 0 b a
0 c a 0 b b
0 c a 0 b c
0 c a 0 c 0
0 c a 0 c a
0 c a 0 c b
0 c a 0 c c
0 c b 0 0 0
0 c b 0 0 a
0 c b 0 0 b
0 c b 0 0 c
0 c b 0 a 0
0 c b 0 a a
0 c b 0 a b
0 c b 0 a c
0 c b 0 b 0
0 c b 0 b a
0 c b 0 b b
0 c b 0 b c
0 c b 0 c 0
0 c b 0 c a
0 c b 0 c b
0 c b 0 c c
0 c c 0 0 0
0 c c 0 0 a
0 c c 0 0 b
0 c c 0 0 c
0 c c 0 a 0
0 c c 0 a a
0 c c 0 a b
0 c c 0 a c
0 c c 0 b 0
0 c c 0 b a
0 c c 0 b b
0 c c 0 b c
0 c c 0 c 0
0 c c 0 c a
0 c c 0 c b
0 c c 0 c c
Is it a nice code?: No
Generator Matrix-78
a 0 0 a 0 0
b 0 0 b 0 0
0 c 0 0 0 c
0 0 c 0 0 c
0 0 0 c 0 0
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 0
0 0 0 c c c
0 0 c 0 0 c
0 0 c 0 c 0
0 0 c c 0 c
0 0 c c c 0
0 c 0 0 0 c
0 c 0 0 c 0
0 c 0 c 0 c
0 c 0 c c 0
0 c c 0 0 0
0 c c 0 c c
0 c c c 0 0
0 c c c c c
b 0 0 b 0 0
b 0 0 b c c
b 0 0 a 0 0
b 0 0 a c c
b 0 c b 0 c
b 0 c b c 0
b 0 c a 0 c
b 0 c a c 0
b c 0 b 0 c
b c 0 b c 0
b c 0 a 0 c
b c 0 a c 0
b c c b 0 0
b c c b c c
b c c a 0 0
b c c a c c
a 0 0 a 0 0
a 0 0 a c c
a 0 0 b 0 0
a 0 0 b c c
a 0 c a 0 c
a 0 c a c 0
a 0 c b 0 c
a 0 c b c 0
a c 0 a 0 c
a c 0 a c 0
a c 0 b 0 c
a c 0 b c 0
a c c a 0 0
a c c a c c
a c c b 0 0
a c c b c c
c 0 0 c 0 0
c 0 0 c c c
c 0 0 0 0 0
c 0 0 0 c c
c 0 c c 0 c
c 0 c c c 0
c 0 c 0 0 c
c 0 c 0 c 0
c c 0 c 0 c
c c 0 c c 0
c c 0 0 0 c
c c 0 0 c 0
c c c c 0 0
c c c c c c
c c c 0 0 0
c c c 0 c c
dmin: 1
Weight Enumerator: 1x0 + 2x1 + 11x2 + 12x3 + 31x4 + 2x5 + 5x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)4 (X_a)1 (X_b)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_b)2 (X_c)2 + (X_b)2 (X_c)4 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_a)1 (X_b)1 (X_c)4 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)4 (X_a)1 (X_b)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_c)2 + (X_a)2 (X_c)4 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_a)1 (X_b)1 (X_c)4 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_c)6 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 a 0 a 0
0 0 a 0 a a
0 0 a 0 a b
0 0 a 0 a c
0 0 a 0 b 0
0 0 a 0 b a
0 0 a 0 b b
0 0 a 0 b c
0 0 a 0 c 0
0 0 a 0 c a
0 0 a 0 c b
0 0 a 0 c c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 b 0 a 0
0 0 b 0 a a
0 0 b 0 a b
0 0 b 0 a c
0 0 b 0 b 0
0 0 b 0 b a
0 0 b 0 b b
0 0 b 0 b c
0 0 b 0 c 0
0 0 b 0 c a
0 0 b 0 c b
0 0 b 0 c c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c
0 0 c 0 a 0
0 0 c 0 a a
0 0 c 0 a b
0 0 c 0 a c
0 0 c 0 b 0
0 0 c 0 b a
0 0 c 0 b b
0 0 c 0 b c
0 0 c 0 c 0
0 0 c 0 c a
0 0 c 0 c b
0 0 c 0 c c
0 a 0 0 0 0
0 a 0 0 0 a
0 a 0 0 0 b
0 a 0 0 0 c
0 a 0 0 a 0
0 a 0 0 a a
0 a 0 0 a b
0 a 0 0 a c
0 a 0 0 b 0
0 a 0 0 b a
0 a 0 0 b b
0 a 0 0 b c
0 a 0 0 c 0
0 a 0 0 c a
0 a 0 0 c b
0 a 0 0 c c
0 a a 0 0 0
0 a a 0 0 a
0 a a 0 0 b
0 a a 0 0 c
0 a a 0 a 0
0 a a 0 a a
0 a a 0 a b
0 a a 0 a c
0 a a 0 b 0
0 a a 0 b a
0 a a 0 b b
0 a a 0 b c
0 a a 0 c 0
0 a a 0 c a
0 a a 0 c b
0 a a 0 c c
0 a b 0 0 0
0 a b 0 0 a
0 a b 0 0 b
0 a b 0 0 c
0 a b 0 a 0
0 a b 0 a a
0 a b 0 a b
0 a b 0 a c
0 a b 0 b 0
0 a b 0 b a
0 a b 0 b b
0 a b 0 b c
0 a b 0 c 0
0 a b 0 c a
0 a b 0 c b
0 a b 0 c c
0 a c 0 0 0
0 a c 0 0 a
0 a c 0 0 b
0 a c 0 0 c
0 a c 0 a 0
0 a c 0 a a
0 a c 0 a b
0 a c 0 a c
0 a c 0 b 0
0 a c 0 b a
0 a c 0 b b
0 a c 0 b c
0 a c 0 c 0
0 a c 0 c a
0 a c 0 c b
0 a c 0 c c
0 b 0 0 0 0
0 b 0 0 0 a
0 b 0 0 0 b
0 b 0 0 0 c
0 b 0 0 a 0
0 b 0 0 a a
0 b 0 0 a b
0 b 0 0 a c
0 b 0 0 b 0
0 b 0 0 b a
0 b 0 0 b b
0 b 0 0 b c
0 b 0 0 c 0
0 b 0 0 c a
0 b 0 0 c b
0 b 0 0 c c
0 b a 0 0 0
0 b a 0 0 a
0 b a 0 0 b
0 b a 0 0 c
0 b a 0 a 0
0 b a 0 a a
0 b a 0 a b
0 b a 0 a c
0 b a 0 b 0
0 b a 0 b a
0 b a 0 b b
0 b a 0 b c
0 b a 0 c 0
0 b a 0 c a
0 b a 0 c b
0 b a 0 c c
0 b b 0 0 0
0 b b 0 0 a
0 b b 0 0 b
0 b b 0 0 c
0 b b 0 a 0
0 b b 0 a a
0 b b 0 a b
0 b b 0 a c
0 b b 0 b 0
0 b b 0 b a
0 b b 0 b b
0 b b 0 b c
0 b b 0 c 0
0 b b 0 c a
0 b b 0 c b
0 b b 0 c c
0 b c 0 0 0
0 b c 0 0 a
0 b c 0 0 b
0 b c 0 0 c
0 b c 0 a 0
0 b c 0 a a
0 b c 0 a b
0 b c 0 a c
0 b c 0 b 0
0 b c 0 b a
0 b c 0 b b
0 b c 0 b c
0 b c 0 c 0
0 b c 0 c a
0 b c 0 c b
0 b c 0 c c
0 c 0 0 0 0
0 c 0 0 0 a
0 c 0 0 0 b
0 c 0 0 0 c
0 c 0 0 a 0
0 c 0 0 a a
0 c 0 0 a b
0 c 0 0 a c
0 c 0 0 b 0
0 c 0 0 b a
0 c 0 0 b b
0 c 0 0 b c
0 c 0 0 c 0
0 c 0 0 c a
0 c 0 0 c b
0 c 0 0 c c
0 c a 0 0 0
0 c a 0 0 a
0 c a 0 0 b
0 c a 0 0 c
0 c a 0 a 0
0 c a 0 a a
0 c a 0 a b
0 c a 0 a c
0 c a 0 b 0
0 c a 0 b a
0 c a 0 b b
0 c a 0 b c
0 c a 0 c 0
0 c a 0 c a
0 c a 0 c b
0 c a 0 c c
0 c b 0 0 0
0 c b 0 0 a
0 c b 0 0 b
0 c b 0 0 c
0 c b 0 a 0
0 c b 0 a a
0 c b 0 a b
0 c b 0 a c
0 c b 0 b 0
0 c b 0 b a
0 c b 0 b b
0 c b 0 b c
0 c b 0 c 0
0 c b 0 c a
0 c b 0 c b
0 c b 0 c c
0 c c 0 0 0
0 c c 0 0 a
0 c c 0 0 b
0 c c 0 0 c
0 c c 0 a 0
0 c c 0 a a
0 c c 0 a b
0 c c 0 a c
0 c c 0 b 0
0 c c 0 b a
0 c c 0 b b
0 c c 0 b c
0 c c 0 c 0
0 c c 0 c a
0 c c 0 c b
0 c c 0 c c
Is it a nice code?: No
Generator Matrix-79
a 0 0 a 0 0
b 0 0 b 0 0
0 c 0 0 0 c
0 0 c 0 0 c
0 0 0 c 0 c
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 c
0 0 0 c c c
0 0 c 0 0 c
0 0 c 0 c c
0 0 c c 0 0
0 0 c c c 0
0 c 0 0 0 c
0 c 0 0 c c
0 c 0 c 0 0
0 c 0 c c 0
0 c c 0 0 0
0 c c 0 c 0
0 c c c 0 c
0 c c c c c
b 0 0 b 0 0
b 0 0 b c 0
b 0 0 a 0 c
b 0 0 a c c
b 0 c b 0 c
b 0 c b c c
b 0 c a 0 0
b 0 c a c 0
b c 0 b 0 c
b c 0 b c c
b c 0 a 0 0
b c 0 a c 0
b c c b 0 0
b c c b c 0
b c c a 0 c
b c c a c c
a 0 0 a 0 0
a 0 0 a c 0
a 0 0 b 0 c
a 0 0 b c c
a 0 c a 0 c
a 0 c a c c
a 0 c b 0 0
a 0 c b c 0
a c 0 a 0 c
a c 0 a c c
a c 0 b 0 0
a c 0 b c 0
a c c a 0 0
a c c a c 0
a c c b 0 c
a c c b c c
c 0 0 c 0 0
c 0 0 c c 0
c 0 0 0 0 c
c 0 0 0 c c
c 0 c c 0 c
c 0 c c c c
c 0 c 0 0 0
c 0 c 0 c 0
c c 0 c 0 c
c c 0 c c c
c c 0 0 0 0
c c 0 0 c 0
c c c c 0 0
c c c c c 0
c c c 0 0 c
c c c 0 c c
dmin: 1
Weight Enumerator: 1x0 + 1x1 + 12x2 + 18x3 + 17x4 + 13x5 + 2x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)4 (X_b)2 + (X_0)3 (X_b)2 (X_c)1 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_a)1 (X_b)1 (X_c)4 + (X_0)4 (X_a)2 + (X_0)3 (X_a)2 (X_c)1 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_a)1 (X_b)1 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 a 0 a 0
0 0 a 0 a a
0 0 a 0 a b
0 0 a 0 a c
0 0 a 0 b 0
0 0 a 0 b a
0 0 a 0 b b
0 0 a 0 b c
0 0 a 0 c 0
0 0 a 0 c a
0 0 a 0 c b
0 0 a 0 c c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 b 0 a 0
0 0 b 0 a a
0 0 b 0 a b
0 0 b 0 a c
0 0 b 0 b 0
0 0 b 0 b a
0 0 b 0 b b
0 0 b 0 b c
0 0 b 0 c 0
0 0 b 0 c a
0 0 b 0 c b
0 0 b 0 c c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c
0 0 c 0 a 0
0 0 c 0 a a
0 0 c 0 a b
0 0 c 0 a c
0 0 c 0 b 0
0 0 c 0 b a
0 0 c 0 b b
0 0 c 0 b c
0 0 c 0 c 0
0 0 c 0 c a
0 0 c 0 c b
0 0 c 0 c c
0 a 0 0 0 0
0 a 0 0 0 a
0 a 0 0 0 b
0 a 0 0 0 c
0 a 0 0 a 0
0 a 0 0 a a
0 a 0 0 a b
0 a 0 0 a c
0 a 0 0 b 0
0 a 0 0 b a
0 a 0 0 b b
0 a 0 0 b c
0 a 0 0 c 0
0 a 0 0 c a
0 a 0 0 c b
0 a 0 0 c c
0 a a 0 0 0
0 a a 0 0 a
0 a a 0 0 b
0 a a 0 0 c
0 a a 0 a 0
0 a a 0 a a
0 a a 0 a b
0 a a 0 a c
0 a a 0 b 0
0 a a 0 b a
0 a a 0 b b
0 a a 0 b c
0 a a 0 c 0
0 a a 0 c a
0 a a 0 c b
0 a a 0 c c
0 a b 0 0 0
0 a b 0 0 a
0 a b 0 0 b
0 a b 0 0 c
0 a b 0 a 0
0 a b 0 a a
0 a b 0 a b
0 a b 0 a c
0 a b 0 b 0
0 a b 0 b a
0 a b 0 b b
0 a b 0 b c
0 a b 0 c 0
0 a b 0 c a
0 a b 0 c b
0 a b 0 c c
0 a c 0 0 0
0 a c 0 0 a
0 a c 0 0 b
0 a c 0 0 c
0 a c 0 a 0
0 a c 0 a a
0 a c 0 a b
0 a c 0 a c
0 a c 0 b 0
0 a c 0 b a
0 a c 0 b b
0 a c 0 b c
0 a c 0 c 0
0 a c 0 c a
0 a c 0 c b
0 a c 0 c c
0 b 0 0 0 0
0 b 0 0 0 a
0 b 0 0 0 b
0 b 0 0 0 c
0 b 0 0 a 0
0 b 0 0 a a
0 b 0 0 a b
0 b 0 0 a c
0 b 0 0 b 0
0 b 0 0 b a
0 b 0 0 b b
0 b 0 0 b c
0 b 0 0 c 0
0 b 0 0 c a
0 b 0 0 c b
0 b 0 0 c c
0 b a 0 0 0
0 b a 0 0 a
0 b a 0 0 b
0 b a 0 0 c
0 b a 0 a 0
0 b a 0 a a
0 b a 0 a b
0 b a 0 a c
0 b a 0 b 0
0 b a 0 b a
0 b a 0 b b
0 b a 0 b c
0 b a 0 c 0
0 b a 0 c a
0 b a 0 c b
0 b a 0 c c
0 b b 0 0 0
0 b b 0 0 a
0 b b 0 0 b
0 b b 0 0 c
0 b b 0 a 0
0 b b 0 a a
0 b b 0 a b
0 b b 0 a c
0 b b 0 b 0
0 b b 0 b a
0 b b 0 b b
0 b b 0 b c
0 b b 0 c 0
0 b b 0 c a
0 b b 0 c b
0 b b 0 c c
0 b c 0 0 0
0 b c 0 0 a
0 b c 0 0 b
0 b c 0 0 c
0 b c 0 a 0
0 b c 0 a a
0 b c 0 a b
0 b c 0 a c
0 b c 0 b 0
0 b c 0 b a
0 b c 0 b b
0 b c 0 b c
0 b c 0 c 0
0 b c 0 c a
0 b c 0 c b
0 b c 0 c c
0 c 0 0 0 0
0 c 0 0 0 a
0 c 0 0 0 b
0 c 0 0 0 c
0 c 0 0 a 0
0 c 0 0 a a
0 c 0 0 a b
0 c 0 0 a c
0 c 0 0 b 0
0 c 0 0 b a
0 c 0 0 b b
0 c 0 0 b c
0 c 0 0 c 0
0 c 0 0 c a
0 c 0 0 c b
0 c 0 0 c c
0 c a 0 0 0
0 c a 0 0 a
0 c a 0 0 b
0 c a 0 0 c
0 c a 0 a 0
0 c a 0 a a
0 c a 0 a b
0 c a 0 a c
0 c a 0 b 0
0 c a 0 b a
0 c a 0 b b
0 c a 0 b c
0 c a 0 c 0
0 c a 0 c a
0 c a 0 c b
0 c a 0 c c
0 c b 0 0 0
0 c b 0 0 a
0 c b 0 0 b
0 c b 0 0 c
0 c b 0 a 0
0 c b 0 a a
0 c b 0 a b
0 c b 0 a c
0 c b 0 b 0
0 c b 0 b a
0 c b 0 b b
0 c b 0 b c
0 c b 0 c 0
0 c b 0 c a
0 c b 0 c b
0 c b 0 c c
0 c c 0 0 0
0 c c 0 0 a
0 c c 0 0 b
0 c c 0 0 c
0 c c 0 a 0
0 c c 0 a a
0 c c 0 a b
0 c c 0 a c
0 c c 0 b 0
0 c c 0 b a
0 c c 0 b b
0 c c 0 b c
0 c c 0 c 0
0 c c 0 c a
0 c c 0 c b
0 c c 0 c c
Is it a nice code?: No
Generator Matrix-80
a 0 0 a 0 0
b 0 0 b 0 0
0 c 0 0 0 c
0 0 c 0 0 c
0 0 0 c 0 c
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 c
0 0 0 c c 0
0 0 c 0 0 c
0 0 c 0 c 0
0 0 c c 0 0
0 0 c c c c
0 c 0 0 0 c
0 c 0 0 c 0
0 c 0 c 0 0
0 c 0 c c c
0 c c 0 0 0
0 c c 0 c c
0 c c c 0 c
0 c c c c 0
b 0 0 b 0 0
b 0 0 b c c
b 0 0 a 0 c
b 0 0 a c 0
b 0 c b 0 c
b 0 c b c 0
b 0 c a 0 0
b 0 c a c c
b c 0 b 0 c
b c 0 b c 0
b c 0 a 0 0
b c 0 a c c
b c c b 0 0
b c c b c c
b c c a 0 c
b c c a c 0
a 0 0 a 0 0
a 0 0 a c c
a 0 0 b 0 c
a 0 0 b c 0
a 0 c a 0 c
a 0 c a c 0
a 0 c b 0 0
a 0 c b c c
a c 0 a 0 c
a c 0 a c 0
a c 0 b 0 0
a c 0 b c c
a c c a 0 0
a c c a c c
a c c b 0 c
a c c b c 0
c 0 0 c 0 0
c 0 0 c c c
c 0 0 0 0 c
c 0 0 0 c 0
c 0 c c 0 c
c 0 c c c 0
c 0 c 0 0 0
c 0 c 0 c c
c c 0 c 0 c
c c 0 c c 0
c c 0 0 0 0
c c 0 0 c c
c c c c 0 0
c c c c c c
c c c 0 0 c
c c c 0 c 0
dmin: 2
Weight Enumerator: 1x0 + 0x1 + 17x2 + 8x3 + 27x4 + 8x5 + 3x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_b)2 (X_c)2 + (X_b)2 (X_c)4 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)2 (X_c)2 + (X_a)2 (X_c)4 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_c)6 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 a 0 a 0
0 0 a 0 a a
0 0 a 0 a b
0 0 a 0 a c
0 0 a 0 b 0
0 0 a 0 b a
0 0 a 0 b b
0 0 a 0 b c
0 0 a 0 c 0
0 0 a 0 c a
0 0 a 0 c b
0 0 a 0 c c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 b 0 a 0
0 0 b 0 a a
0 0 b 0 a b
0 0 b 0 a c
0 0 b 0 b 0
0 0 b 0 b a
0 0 b 0 b b
0 0 b 0 b c
0 0 b 0 c 0
0 0 b 0 c a
0 0 b 0 c b
0 0 b 0 c c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c
0 0 c 0 a 0
0 0 c 0 a a
0 0 c 0 a b
0 0 c 0 a c
0 0 c 0 b 0
0 0 c 0 b a
0 0 c 0 b b
0 0 c 0 b c
0 0 c 0 c 0
0 0 c 0 c a
0 0 c 0 c b
0 0 c 0 c c
0 a 0 0 0 0
0 a 0 0 0 a
0 a 0 0 0 b
0 a 0 0 0 c
0 a 0 0 a 0
0 a 0 0 a a
0 a 0 0 a b
0 a 0 0 a c
0 a 0 0 b 0
0 a 0 0 b a
0 a 0 0 b b
0 a 0 0 b c
0 a 0 0 c 0
0 a 0 0 c a
0 a 0 0 c b
0 a 0 0 c c
0 a a 0 0 0
0 a a 0 0 a
0 a a 0 0 b
0 a a 0 0 c
0 a a 0 a 0
0 a a 0 a a
0 a a 0 a b
0 a a 0 a c
0 a a 0 b 0
0 a a 0 b a
0 a a 0 b b
0 a a 0 b c
0 a a 0 c 0
0 a a 0 c a
0 a a 0 c b
0 a a 0 c c
0 a b 0 0 0
0 a b 0 0 a
0 a b 0 0 b
0 a b 0 0 c
0 a b 0 a 0
0 a b 0 a a
0 a b 0 a b
0 a b 0 a c
0 a b 0 b 0
0 a b 0 b a
0 a b 0 b b
0 a b 0 b c
0 a b 0 c 0
0 a b 0 c a
0 a b 0 c b
0 a b 0 c c
0 a c 0 0 0
0 a c 0 0 a
0 a c 0 0 b
0 a c 0 0 c
0 a c 0 a 0
0 a c 0 a a
0 a c 0 a b
0 a c 0 a c
0 a c 0 b 0
0 a c 0 b a
0 a c 0 b b
0 a c 0 b c
0 a c 0 c 0
0 a c 0 c a
0 a c 0 c b
0 a c 0 c c
0 b 0 0 0 0
0 b 0 0 0 a
0 b 0 0 0 b
0 b 0 0 0 c
0 b 0 0 a 0
0 b 0 0 a a
0 b 0 0 a b
0 b 0 0 a c
0 b 0 0 b 0
0 b 0 0 b a
0 b 0 0 b b
0 b 0 0 b c
0 b 0 0 c 0
0 b 0 0 c a
0 b 0 0 c b
0 b 0 0 c c
0 b a 0 0 0
0 b a 0 0 a
0 b a 0 0 b
0 b a 0 0 c
0 b a 0 a 0
0 b a 0 a a
0 b a 0 a b
0 b a 0 a c
0 b a 0 b 0
0 b a 0 b a
0 b a 0 b b
0 b a 0 b c
0 b a 0 c 0
0 b a 0 c a
0 b a 0 c b
0 b a 0 c c
0 b b 0 0 0
0 b b 0 0 a
0 b b 0 0 b
0 b b 0 0 c
0 b b 0 a 0
0 b b 0 a a
0 b b 0 a b
0 b b 0 a c
0 b b 0 b 0
0 b b 0 b a
0 b b 0 b b
0 b b 0 b c
0 b b 0 c 0
0 b b 0 c a
0 b b 0 c b
0 b b 0 c c
0 b c 0 0 0
0 b c 0 0 a
0 b c 0 0 b
0 b c 0 0 c
0 b c 0 a 0
0 b c 0 a a
0 b c 0 a b
0 b c 0 a c
0 b c 0 b 0
0 b c 0 b a
0 b c 0 b b
0 b c 0 b c
0 b c 0 c 0
0 b c 0 c a
0 b c 0 c b
0 b c 0 c c
0 c 0 0 0 0
0 c 0 0 0 a
0 c 0 0 0 b
0 c 0 0 0 c
0 c 0 0 a 0
0 c 0 0 a a
0 c 0 0 a b
0 c 0 0 a c
0 c 0 0 b 0
0 c 0 0 b a
0 c 0 0 b b
0 c 0 0 b c
0 c 0 0 c 0
0 c 0 0 c a
0 c 0 0 c b
0 c 0 0 c c
0 c a 0 0 0
0 c a 0 0 a
0 c a 0 0 b
0 c a 0 0 c
0 c a 0 a 0
0 c a 0 a a
0 c a 0 a b
0 c a 0 a c
0 c a 0 b 0
0 c a 0 b a
0 c a 0 b b
0 c a 0 b c
0 c a 0 c 0
0 c a 0 c a
0 c a 0 c b
0 c a 0 c c
0 c b 0 0 0
0 c b 0 0 a
0 c b 0 0 b
0 c b 0 0 c
0 c b 0 a 0
0 c b 0 a a
0 c b 0 a b
0 c b 0 a c
0 c b 0 b 0
0 c b 0 b a
0 c b 0 b b
0 c b 0 b c
0 c b 0 c 0
0 c b 0 c a
0 c b 0 c b
0 c b 0 c c
0 c c 0 0 0
0 c c 0 0 a
0 c c 0 0 b
0 c c 0 0 c
0 c c 0 a 0
0 c c 0 a a
0 c c 0 a b
0 c c 0 a c
0 c c 0 b 0
0 c c 0 b a
0 c c 0 b b
0 c c 0 b c
0 c c 0 c 0
0 c c 0 c a
0 c c 0 c b
0 c c 0 c c
Is it a nice code?: No
Generator Matrix-81
a 0 0 a 0 a
b 0 0 b 0 b
0 c 0 0 0 0
0 0 c 0 0 0
0 0 0 c 0 0
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 0
0 0 0 c c 0
0 0 c 0 0 0
0 0 c 0 c 0
0 0 c c 0 0
0 0 c c c 0
0 c 0 0 0 0
0 c 0 0 c 0
0 c 0 c 0 0
0 c 0 c c 0
0 c c 0 0 0
0 c c 0 c 0
0 c c c 0 0
0 c c c c 0
b 0 0 b 0 b
b 0 0 b c b
b 0 0 a 0 b
b 0 0 a c b
b 0 c b 0 b
b 0 c b c b
b 0 c a 0 b
b 0 c a c b
b c 0 b 0 b
b c 0 b c b
b c 0 a 0 b
b c 0 a c b
b c c b 0 b
b c c b c b
b c c a 0 b
b c c a c b
a 0 0 a 0 a
a 0 0 a c a
a 0 0 b 0 a
a 0 0 b c a
a 0 c a 0 a
a 0 c a c a
a 0 c b 0 a
a 0 c b c a
a c 0 a 0 a
a c 0 a c a
a c 0 b 0 a
a c 0 b c a
a c c a 0 a
a c c a c a
a c c b 0 a
a c c b c a
c 0 0 c 0 c
c 0 0 c c c
c 0 0 0 0 c
c 0 0 0 c c
c 0 c c 0 c
c 0 c c c c
c 0 c 0 0 c
c 0 c 0 c c
c c 0 c 0 c
c c 0 c c c
c c 0 0 0 c
c c 0 0 c c
c c c c 0 c
c c c c c c
c c c 0 0 c
c c c 0 c c
dmin: 1
Weight Enumerator: 1x0 + 4x1 + 7x2 + 12x3 + 19x4 + 16x5 + 5x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_b)3 + (X_0)2 (X_b)3 (X_c)1 + (X_0)3 (X_a)1 (X_b)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_b)3 (X_c)1 + (X_0)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_b)3 (X_c)1 + (X_0)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_b)3 (X_c)2 + (X_b)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)3 + (X_0)2 (X_a)3 (X_c)1 + (X_0)3 (X_a)2 (X_b)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)3 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)3 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_c)2 + (X_a)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_c)6 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 a 0 0 0
0 0 a 0 a 0
0 0 a 0 b 0
0 0 a 0 c 0
0 0 b 0 0 0
0 0 b 0 a 0
0 0 b 0 b 0
0 0 b 0 c 0
0 0 c 0 0 0
0 0 c 0 a 0
0 0 c 0 b 0
0 0 c 0 c 0
0 a 0 0 0 0
0 a 0 0 a 0
0 a 0 0 b 0
0 a 0 0 c 0
0 a a 0 0 0
0 a a 0 a 0
0 a a 0 b 0
0 a a 0 c 0
0 a b 0 0 0
0 a b 0 a 0
0 a b 0 b 0
0 a b 0 c 0
0 a c 0 0 0
0 a c 0 a 0
0 a c 0 b 0
0 a c 0 c 0
0 b 0 0 0 0
0 b 0 0 a 0
0 b 0 0 b 0
0 b 0 0 c 0
0 b a 0 0 0
0 b a 0 a 0
0 b a 0 b 0
0 b a 0 c 0
0 b b 0 0 0
0 b b 0 a 0
0 b b 0 b 0
0 b b 0 c 0
0 b c 0 0 0
0 b c 0 a 0
0 b c 0 b 0
0 b c 0 c 0
0 c 0 0 0 0
0 c 0 0 a 0
0 c 0 0 b 0
0 c 0 0 c 0
0 c a 0 0 0
0 c a 0 a 0
0 c a 0 b 0
0 c a 0 c 0
0 c b 0 0 0
0 c b 0 a 0
0 c b 0 b 0
0 c b 0 c 0
0 c c 0 0 0
0 c c 0 a 0
0 c c 0 b 0
0 c c 0 c 0
Is it a nice code?: Yes
Generator Matrix-82
a 0 0 a 0 a
b 0 0 b 0 b
0 c 0 0 0 0
0 0 c 0 0 0
0 0 0 c 0 0
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 0
0 0 0 c c c
0 0 c 0 0 0
0 0 c 0 c c
0 0 c c 0 0
0 0 c c c c
0 c 0 0 0 0
0 c 0 0 c c
0 c 0 c 0 0
0 c 0 c c c
0 c c 0 0 0
0 c c 0 c c
0 c c c 0 0
0 c c c c c
b 0 0 b 0 b
b 0 0 b c a
b 0 0 a 0 b
b 0 0 a c a
b 0 c b 0 b
b 0 c b c a
b 0 c a 0 b
b 0 c a c a
b c 0 b 0 b
b c 0 b c a
b c 0 a 0 b
b c 0 a c a
b c c b 0 b
b c c b c a
b c c a 0 b
b c c a c a
a 0 0 a 0 a
a 0 0 a c b
a 0 0 b 0 a
a 0 0 b c b
a 0 c a 0 a
a 0 c a c b
a 0 c b 0 a
a 0 c b c b
a c 0 a 0 a
a c 0 a c b
a c 0 b 0 a
a c 0 b c b
a c c a 0 a
a c c a c b
a c c b 0 a
a c c b c b
c 0 0 c 0 c
c 0 0 c c 0
c 0 0 0 0 c
c 0 0 0 c 0
c 0 c c 0 c
c 0 c c c 0
c 0 c 0 0 c
c 0 c 0 c 0
c c 0 c 0 c
c c 0 c c 0
c c 0 0 0 c
c c 0 0 c 0
c c c c 0 c
c c c c c 0
c c c 0 0 c
c c c 0 c 0
dmin: 1
Weight Enumerator: 1x0 + 3x1 + 6x2 + 14x3 + 21x4 + 15x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_a)1 (X_b)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_b)3 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_a)2 (X_b)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)3 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 a 0 0 0
0 0 a 0 a 0
0 0 a 0 b 0
0 0 a 0 c 0
0 0 b 0 0 0
0 0 b 0 a 0
0 0 b 0 b 0
0 0 b 0 c 0
0 0 c 0 0 0
0 0 c 0 a 0
0 0 c 0 b 0
0 0 c 0 c 0
0 a 0 0 0 0
0 a 0 0 a 0
0 a 0 0 b 0
0 a 0 0 c 0
0 a a 0 0 0
0 a a 0 a 0
0 a a 0 b 0
0 a a 0 c 0
0 a b 0 0 0
0 a b 0 a 0
0 a b 0 b 0
0 a b 0 c 0
0 a c 0 0 0
0 a c 0 a 0
0 a c 0 b 0
0 a c 0 c 0
0 b 0 0 0 0
0 b 0 0 a 0
0 b 0 0 b 0
0 b 0 0 c 0
0 b a 0 0 0
0 b a 0 a 0
0 b a 0 b 0
0 b a 0 c 0
0 b b 0 0 0
0 b b 0 a 0
0 b b 0 b 0
0 b b 0 c 0
0 b c 0 0 0
0 b c 0 a 0
0 b c 0 b 0
0 b c 0 c 0
0 c 0 0 0 0
0 c 0 0 a 0
0 c 0 0 b 0
0 c 0 0 c 0
0 c a 0 0 0
0 c a 0 a 0
0 c a 0 b 0
0 c a 0 c 0
0 c b 0 0 0
0 c b 0 a 0
0 c b 0 b 0
0 c b 0 c 0
0 c c 0 0 0
0 c c 0 a 0
0 c c 0 b 0
0 c c 0 c 0
Is it a nice code?: Yes
Generator Matrix-83
a 0 0 a 0 a
b 0 0 b 0 b
0 c 0 0 0 0
0 0 c 0 0 0
0 0 0 c 0 c
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 c
0 0 0 c c c
0 0 c 0 0 0
0 0 c 0 c 0
0 0 c c 0 c
0 0 c c c c
0 c 0 0 0 0
0 c 0 0 c 0
0 c 0 c 0 c
0 c 0 c c c
0 c c 0 0 0
0 c c 0 c 0
0 c c c 0 c
0 c c c c c
b 0 0 b 0 b
b 0 0 b c b
b 0 0 a 0 a
b 0 0 a c a
b 0 c b 0 b
b 0 c b c b
b 0 c a 0 a
b 0 c a c a
b c 0 b 0 b
b c 0 b c b
b c 0 a 0 a
b c 0 a c a
b c c b 0 b
b c c b c b
b c c a 0 a
b c c a c a
a 0 0 a 0 a
a 0 0 a c a
a 0 0 b 0 b
a 0 0 b c b
a 0 c a 0 a
a 0 c a c a
a 0 c b 0 b
a 0 c b c b
a c 0 a 0 a
a c 0 a c a
a c 0 b 0 b
a c 0 b c b
a c c a 0 a
a c c a c a
a c c b 0 b
a c c b c b
c 0 0 c 0 c
c 0 0 c c c
c 0 0 0 0 0
c 0 0 0 c 0
c 0 c c 0 c
c 0 c c c c
c 0 c 0 0 0
c 0 c 0 c 0
c c 0 c 0 c
c c 0 c c c
c c 0 0 0 0
c c 0 0 c 0
c c c c 0 c
c c c c c c
c c c 0 0 0
c c c 0 c 0
dmin: 1
Weight Enumerator: 1x0 + 4x1 + 7x2 + 12x3 + 19x4 + 16x5 + 5x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)3 (X_b)3 + (X_0)2 (X_b)3 (X_c)1 + (X_0)3 (X_a)2 (X_b)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_b)3 (X_c)1 + (X_0)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_b)3 (X_c)1 + (X_0)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_b)3 (X_c)2 + (X_b)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_a)3 + (X_0)2 (X_a)3 (X_c)1 + (X_0)3 (X_a)1 (X_b)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)3 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)3 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)3 (X_c)2 + (X_a)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_c)6 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 a 0 0 0
0 0 a 0 a 0
0 0 a 0 b 0
0 0 a 0 c 0
0 0 b 0 0 0
0 0 b 0 a 0
0 0 b 0 b 0
0 0 b 0 c 0
0 0 c 0 0 0
0 0 c 0 a 0
0 0 c 0 b 0
0 0 c 0 c 0
0 a 0 0 0 0
0 a 0 0 a 0
0 a 0 0 b 0
0 a 0 0 c 0
0 a a 0 0 0
0 a a 0 a 0
0 a a 0 b 0
0 a a 0 c 0
0 a b 0 0 0
0 a b 0 a 0
0 a b 0 b 0
0 a b 0 c 0
0 a c 0 0 0
0 a c 0 a 0
0 a c 0 b 0
0 a c 0 c 0
0 b 0 0 0 0
0 b 0 0 a 0
0 b 0 0 b 0
0 b 0 0 c 0
0 b a 0 0 0
0 b a 0 a 0
0 b a 0 b 0
0 b a 0 c 0
0 b b 0 0 0
0 b b 0 a 0
0 b b 0 b 0
0 b b 0 c 0
0 b c 0 0 0
0 b c 0 a 0
0 b c 0 b 0
0 b c 0 c 0
0 c 0 0 0 0
0 c 0 0 a 0
0 c 0 0 b 0
0 c 0 0 c 0
0 c a 0 0 0
0 c a 0 a 0
0 c a 0 b 0
0 c a 0 c 0
0 c b 0 0 0
0 c b 0 a 0
0 c b 0 b 0
0 c b 0 c 0
0 c c 0 0 0
0 c c 0 a 0
0 c c 0 b 0
0 c c 0 c 0
Is it a nice code?: Yes
Generator Matrix-84
a 0 0 a 0 a
b 0 0 b 0 b
0 c 0 0 0 0
0 0 c 0 0 0
0 0 0 c 0 c
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 c
0 0 0 c c 0
0 0 c 0 0 0
0 0 c 0 c c
0 0 c c 0 c
0 0 c c c 0
0 c 0 0 0 0
0 c 0 0 c c
0 c 0 c 0 c
0 c 0 c c 0
0 c c 0 0 0
0 c c 0 c c
0 c c c 0 c
0 c c c c 0
b 0 0 b 0 b
b 0 0 b c a
b 0 0 a 0 a
b 0 0 a c b
b 0 c b 0 b
b 0 c b c a
b 0 c a 0 a
b 0 c a c b
b c 0 b 0 b
b c 0 b c a
b c 0 a 0 a
b c 0 a c b
b c c b 0 b
b c c b c a
b c c a 0 a
b c c a c b
a 0 0 a 0 a
a 0 0 a c b
a 0 0 b 0 b
a 0 0 b c a
a 0 c a 0 a
a 0 c a c b
a 0 c b 0 b
a 0 c b c a
a c 0 a 0 a
a c 0 a c b
a c 0 b 0 b
a c 0 b c a
a c c a 0 a
a c c a c b
a c c b 0 b
a c c b c a
c 0 0 c 0 c
c 0 0 c c 0
c 0 0 0 0 0
c 0 0 0 c c
c 0 c c 0 c
c 0 c c c 0
c 0 c 0 0 0
c 0 c 0 c c
c c 0 c 0 c
c c 0 c c 0
c c 0 0 0 0
c c 0 0 c c
c c c c 0 c
c c c c c 0
c c c 0 0 0
c c c 0 c c
dmin: 1
Weight Enumerator: 1x0 + 3x1 + 6x2 + 14x3 + 21x4 + 15x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_a)2 (X_b)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_b)3 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_a)1 (X_b)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 a 0 0 0
0 0 a 0 a 0
0 0 a 0 b 0
0 0 a 0 c 0
0 0 b 0 0 0
0 0 b 0 a 0
0 0 b 0 b 0
0 0 b 0 c 0
0 0 c 0 0 0
0 0 c 0 a 0
0 0 c 0 b 0
0 0 c 0 c 0
0 a 0 0 0 0
0 a 0 0 a 0
0 a 0 0 b 0
0 a 0 0 c 0
0 a a 0 0 0
0 a a 0 a 0
0 a a 0 b 0
0 a a 0 c 0
0 a b 0 0 0
0 a b 0 a 0
0 a b 0 b 0
0 a b 0 c 0
0 a c 0 0 0
0 a c 0 a 0
0 a c 0 b 0
0 a c 0 c 0
0 b 0 0 0 0
0 b 0 0 a 0
0 b 0 0 b 0
0 b 0 0 c 0
0 b a 0 0 0
0 b a 0 a 0
0 b a 0 b 0
0 b a 0 c 0
0 b b 0 0 0
0 b b 0 a 0
0 b b 0 b 0
0 b b 0 c 0
0 b c 0 0 0
0 b c 0 a 0
0 b c 0 b 0
0 b c 0 c 0
0 c 0 0 0 0
0 c 0 0 a 0
0 c 0 0 b 0
0 c 0 0 c 0
0 c a 0 0 0
0 c a 0 a 0
0 c a 0 b 0
0 c a 0 c 0
0 c b 0 0 0
0 c b 0 a 0
0 c b 0 b 0
0 c b 0 c 0
0 c c 0 0 0
0 c c 0 a 0
0 c c 0 b 0
0 c c 0 c 0
Is it a nice code?: Yes
Generator Matrix-85
a 0 0 a 0 a
b 0 0 b 0 b
0 c 0 0 0 0
0 0 c 0 0 c
0 0 0 c 0 0
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 0
0 0 0 c c 0
0 0 c 0 0 c
0 0 c 0 c c
0 0 c c 0 c
0 0 c c c c
0 c 0 0 0 0
0 c 0 0 c 0
0 c 0 c 0 0
0 c 0 c c 0
0 c c 0 0 c
0 c c 0 c c
0 c c c 0 c
0 c c c c c
b 0 0 b 0 b
b 0 0 b c b
b 0 0 a 0 b
b 0 0 a c b
b 0 c b 0 a
b 0 c b c a
b 0 c a 0 a
b 0 c a c a
b c 0 b 0 b
b c 0 b c b
b c 0 a 0 b
b c 0 a c b
b c c b 0 a
b c c b c a
b c c a 0 a
b c c a c a
a 0 0 a 0 a
a 0 0 a c a
a 0 0 b 0 a
a 0 0 b c a
a 0 c a 0 b
a 0 c a c b
a 0 c b 0 b
a 0 c b c b
a c 0 a 0 a
a c 0 a c a
a c 0 b 0 a
a c 0 b c a
a c c a 0 b
a c c a c b
a c c b 0 b
a c c b c b
c 0 0 c 0 c
c 0 0 c c c
c 0 0 0 0 c
c 0 0 0 c c
c 0 c c 0 0
c 0 c c c 0
c 0 c 0 0 0
c 0 c 0 c 0
c c 0 c 0 c
c c 0 c c c
c c 0 0 0 c
c c 0 0 c c
c c c c 0 0
c c c c c 0
c c c 0 0 0
c c c 0 c 0
dmin: 1
Weight Enumerator: 1x0 + 3x1 + 6x2 + 14x3 + 21x4 + 15x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)3 (X_b)3 + (X_0)2 (X_b)3 (X_c)1 + (X_0)3 (X_a)1 (X_b)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_b)3 (X_c)1 + (X_0)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_a)3 + (X_0)2 (X_a)3 (X_c)1 + (X_0)3 (X_a)2 (X_b)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)3 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 a 0 0 0
0 0 a 0 a 0
0 0 a 0 b 0
0 0 a 0 c 0
0 0 b 0 0 0
0 0 b 0 a 0
0 0 b 0 b 0
0 0 b 0 c 0
0 0 c 0 0 0
0 0 c 0 a 0
0 0 c 0 b 0
0 0 c 0 c 0
0 a 0 0 0 0
0 a 0 0 a 0
0 a 0 0 b 0
0 a 0 0 c 0
0 a a 0 0 0
0 a a 0 a 0
0 a a 0 b 0
0 a a 0 c 0
0 a b 0 0 0
0 a b 0 a 0
0 a b 0 b 0
0 a b 0 c 0
0 a c 0 0 0
0 a c 0 a 0
0 a c 0 b 0
0 a c 0 c 0
0 b 0 0 0 0
0 b 0 0 a 0
0 b 0 0 b 0
0 b 0 0 c 0
0 b a 0 0 0
0 b a 0 a 0
0 b a 0 b 0
0 b a 0 c 0
0 b b 0 0 0
0 b b 0 a 0
0 b b 0 b 0
0 b b 0 c 0
0 b c 0 0 0
0 b c 0 a 0
0 b c 0 b 0
0 b c 0 c 0
0 c 0 0 0 0
0 c 0 0 a 0
0 c 0 0 b 0
0 c 0 0 c 0
0 c a 0 0 0
0 c a 0 a 0
0 c a 0 b 0
0 c a 0 c 0
0 c b 0 0 0
0 c b 0 a 0
0 c b 0 b 0
0 c b 0 c 0
0 c c 0 0 0
0 c c 0 a 0
0 c c 0 b 0
0 c c 0 c 0
Is it a nice code?: Yes
Generator Matrix-86
a 0 0 a 0 a
b 0 0 b 0 b
0 c 0 0 0 0
0 0 c 0 0 c
0 0 0 c 0 0
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 0
0 0 0 c c c
0 0 c 0 0 c
0 0 c 0 c 0
0 0 c c 0 c
0 0 c c c 0
0 c 0 0 0 0
0 c 0 0 c c
0 c 0 c 0 0
0 c 0 c c c
0 c c 0 0 c
0 c c 0 c 0
0 c c c 0 c
0 c c c c 0
b 0 0 b 0 b
b 0 0 b c a
b 0 0 a 0 b
b 0 0 a c a
b 0 c b 0 a
b 0 c b c b
b 0 c a 0 a
b 0 c a c b
b c 0 b 0 b
b c 0 b c a
b c 0 a 0 b
b c 0 a c a
b c c b 0 a
b c c b c b
b c c a 0 a
b c c a c b
a 0 0 a 0 a
a 0 0 a c b
a 0 0 b 0 a
a 0 0 b c b
a 0 c a 0 b
a 0 c a c a
a 0 c b 0 b
a 0 c b c a
a c 0 a 0 a
a c 0 a c b
a c 0 b 0 a
a c 0 b c b
a c c a 0 b
a c c a c a
a c c b 0 b
a c c b c a
c 0 0 c 0 c
c 0 0 c c 0
c 0 0 0 0 c
c 0 0 0 c 0
c 0 c c 0 0
c 0 c c c c
c 0 c 0 0 0
c 0 c 0 c c
c c 0 c 0 c
c c 0 c c 0
c c 0 0 0 c
c c 0 0 c 0
c c c c 0 0
c c c c c c
c c c 0 0 0
c c c 0 c c
dmin: 1
Weight Enumerator: 1x0 + 2x1 + 7x2 + 16x3 + 19x4 + 14x5 + 5x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_a)1 (X_b)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_b)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_a)2 (X_b)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_c)6 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 a 0 0 0
0 0 a 0 a 0
0 0 a 0 b 0
0 0 a 0 c 0
0 0 b 0 0 0
0 0 b 0 a 0
0 0 b 0 b 0
0 0 b 0 c 0
0 0 c 0 0 0
0 0 c 0 a 0
0 0 c 0 b 0
0 0 c 0 c 0
0 a 0 0 0 0
0 a 0 0 a 0
0 a 0 0 b 0
0 a 0 0 c 0
0 a a 0 0 0
0 a a 0 a 0
0 a a 0 b 0
0 a a 0 c 0
0 a b 0 0 0
0 a b 0 a 0
0 a b 0 b 0
0 a b 0 c 0
0 a c 0 0 0
0 a c 0 a 0
0 a c 0 b 0
0 a c 0 c 0
0 b 0 0 0 0
0 b 0 0 a 0
0 b 0 0 b 0
0 b 0 0 c 0
0 b a 0 0 0
0 b a 0 a 0
0 b a 0 b 0
0 b a 0 c 0
0 b b 0 0 0
0 b b 0 a 0
0 b b 0 b 0
0 b b 0 c 0
0 b c 0 0 0
0 b c 0 a 0
0 b c 0 b 0
0 b c 0 c 0
0 c 0 0 0 0
0 c 0 0 a 0
0 c 0 0 b 0
0 c 0 0 c 0
0 c a 0 0 0
0 c a 0 a 0
0 c a 0 b 0
0 c a 0 c 0
0 c b 0 0 0
0 c b 0 a 0
0 c b 0 b 0
0 c b 0 c 0
0 c c 0 0 0
0 c c 0 a 0
0 c c 0 b 0
0 c c 0 c 0
Is it a nice code?: Yes
Generator Matrix-87
a 0 0 a 0 a
b 0 0 b 0 b
0 c 0 0 0 0
0 0 c 0 0 c
0 0 0 c 0 c
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 c
0 0 0 c c c
0 0 c 0 0 c
0 0 c 0 c c
0 0 c c 0 0
0 0 c c c 0
0 c 0 0 0 0
0 c 0 0 c 0
0 c 0 c 0 c
0 c 0 c c c
0 c c 0 0 c
0 c c 0 c c
0 c c c 0 0
0 c c c c 0
b 0 0 b 0 b
b 0 0 b c b
b 0 0 a 0 a
b 0 0 a c a
b 0 c b 0 a
b 0 c b c a
b 0 c a 0 b
b 0 c a c b
b c 0 b 0 b
b c 0 b c b
b c 0 a 0 a
b c 0 a c a
b c c b 0 a
b c c b c a
b c c a 0 b
b c c a c b
a 0 0 a 0 a
a 0 0 a c a
a 0 0 b 0 b
a 0 0 b c b
a 0 c a 0 b
a 0 c a c b
a 0 c b 0 a
a 0 c b c a
a c 0 a 0 a
a c 0 a c a
a c 0 b 0 b
a c 0 b c b
a c c a 0 b
a c c a c b
a c c b 0 a
a c c b c a
c 0 0 c 0 c
c 0 0 c c c
c 0 0 0 0 0
c 0 0 0 c 0
c 0 c c 0 0
c 0 c c c 0
c 0 c 0 0 c
c 0 c 0 c c
c c 0 c 0 c
c c 0 c c c
c c 0 0 0 0
c c 0 0 c 0
c c c c 0 0
c c c c c 0
c c c 0 0 c
c c c 0 c c
dmin: 1
Weight Enumerator: 1x0 + 3x1 + 6x2 + 14x3 + 21x4 + 15x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_b)3 + (X_0)2 (X_b)3 (X_c)1 + (X_0)3 (X_a)2 (X_b)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_b)3 (X_c)1 + (X_0)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)3 + (X_0)2 (X_a)3 (X_c)1 + (X_0)3 (X_a)1 (X_b)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)3 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 a 0 0 0
0 0 a 0 a 0
0 0 a 0 b 0
0 0 a 0 c 0
0 0 b 0 0 0
0 0 b 0 a 0
0 0 b 0 b 0
0 0 b 0 c 0
0 0 c 0 0 0
0 0 c 0 a 0
0 0 c 0 b 0
0 0 c 0 c 0
0 a 0 0 0 0
0 a 0 0 a 0
0 a 0 0 b 0
0 a 0 0 c 0
0 a a 0 0 0
0 a a 0 a 0
0 a a 0 b 0
0 a a 0 c 0
0 a b 0 0 0
0 a b 0 a 0
0 a b 0 b 0
0 a b 0 c 0
0 a c 0 0 0
0 a c 0 a 0
0 a c 0 b 0
0 a c 0 c 0
0 b 0 0 0 0
0 b 0 0 a 0
0 b 0 0 b 0
0 b 0 0 c 0
0 b a 0 0 0
0 b a 0 a 0
0 b a 0 b 0
0 b a 0 c 0
0 b b 0 0 0
0 b b 0 a 0
0 b b 0 b 0
0 b b 0 c 0
0 b c 0 0 0
0 b c 0 a 0
0 b c 0 b 0
0 b c 0 c 0
0 c 0 0 0 0
0 c 0 0 a 0
0 c 0 0 b 0
0 c 0 0 c 0
0 c a 0 0 0
0 c a 0 a 0
0 c a 0 b 0
0 c a 0 c 0
0 c b 0 0 0
0 c b 0 a 0
0 c b 0 b 0
0 c b 0 c 0
0 c c 0 0 0
0 c c 0 a 0
0 c c 0 b 0
0 c c 0 c 0
Is it a nice code?: Yes
Generator Matrix-88
a 0 0 a 0 a
b 0 0 b 0 b
0 c 0 0 0 0
0 0 c 0 0 c
0 0 0 c 0 c
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 c
0 0 0 c c 0
0 0 c 0 0 c
0 0 c 0 c 0
0 0 c c 0 0
0 0 c c c c
0 c 0 0 0 0
0 c 0 0 c c
0 c 0 c 0 c
0 c 0 c c 0
0 c c 0 0 c
0 c c 0 c 0
0 c c c 0 0
0 c c c c c
b 0 0 b 0 b
b 0 0 b c a
b 0 0 a 0 a
b 0 0 a c b
b 0 c b 0 a
b 0 c b c b
b 0 c a 0 b
b 0 c a c a
b c 0 b 0 b
b c 0 b c a
b c 0 a 0 a
b c 0 a c b
b c c b 0 a
b c c b c b
b c c a 0 b
b c c a c a
a 0 0 a 0 a
a 0 0 a c b
a 0 0 b 0 b
a 0 0 b c a
a 0 c a 0 b
a 0 c a c a
a 0 c b 0 a
a 0 c b c b
a c 0 a 0 a
a c 0 a c b
a c 0 b 0 b
a c 0 b c a
a c c a 0 b
a c c a c a
a c c b 0 a
a c c b c b
c 0 0 c 0 c
c 0 0 c c 0
c 0 0 0 0 0
c 0 0 0 c c
c 0 c c 0 0
c 0 c c c c
c 0 c 0 0 c
c 0 c 0 c 0
c c 0 c 0 c
c c 0 c c 0
c c 0 0 0 0
c c 0 0 c c
c c c c 0 0
c c c c c c
c c c 0 0 c
c c c 0 c 0
dmin: 1
Weight Enumerator: 1x0 + 2x1 + 7x2 + 16x3 + 19x4 + 14x5 + 5x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_a)2 (X_b)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_b)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_a)1 (X_b)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_c)6 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 a 0 0 0
0 0 a 0 a 0
0 0 a 0 b 0
0 0 a 0 c 0
0 0 b 0 0 0
0 0 b 0 a 0
0 0 b 0 b 0
0 0 b 0 c 0
0 0 c 0 0 0
0 0 c 0 a 0
0 0 c 0 b 0
0 0 c 0 c 0
0 a 0 0 0 0
0 a 0 0 a 0
0 a 0 0 b 0
0 a 0 0 c 0
0 a a 0 0 0
0 a a 0 a 0
0 a a 0 b 0
0 a a 0 c 0
0 a b 0 0 0
0 a b 0 a 0
0 a b 0 b 0
0 a b 0 c 0
0 a c 0 0 0
0 a c 0 a 0
0 a c 0 b 0
0 a c 0 c 0
0 b 0 0 0 0
0 b 0 0 a 0
0 b 0 0 b 0
0 b 0 0 c 0
0 b a 0 0 0
0 b a 0 a 0
0 b a 0 b 0
0 b a 0 c 0
0 b b 0 0 0
0 b b 0 a 0
0 b b 0 b 0
0 b b 0 c 0
0 b c 0 0 0
0 b c 0 a 0
0 b c 0 b 0
0 b c 0 c 0
0 c 0 0 0 0
0 c 0 0 a 0
0 c 0 0 b 0
0 c 0 0 c 0
0 c a 0 0 0
0 c a 0 a 0
0 c a 0 b 0
0 c a 0 c 0
0 c b 0 0 0
0 c b 0 a 0
0 c b 0 b 0
0 c b 0 c 0
0 c c 0 0 0
0 c c 0 a 0
0 c c 0 b 0
0 c c 0 c 0
Is it a nice code?: Yes
Generator Matrix-89
a 0 0 a 0 a
b 0 0 b 0 b
0 c 0 0 0 c
0 0 c 0 0 0
0 0 0 c 0 0
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 0
0 0 0 c c 0
0 0 c 0 0 0
0 0 c 0 c 0
0 0 c c 0 0
0 0 c c c 0
0 c 0 0 0 c
0 c 0 0 c c
0 c 0 c 0 c
0 c 0 c c c
0 c c 0 0 c
0 c c 0 c c
0 c c c 0 c
0 c c c c c
b 0 0 b 0 b
b 0 0 b c b
b 0 0 a 0 b
b 0 0 a c b
b 0 c b 0 b
b 0 c b c b
b 0 c a 0 b
b 0 c a c b
b c 0 b 0 a
b c 0 b c a
b c 0 a 0 a
b c 0 a c a
b c c b 0 a
b c c b c a
b c c a 0 a
b c c a c a
a 0 0 a 0 a
a 0 0 a c a
a 0 0 b 0 a
a 0 0 b c a
a 0 c a 0 a
a 0 c a c a
a 0 c b 0 a
a 0 c b c a
a c 0 a 0 b
a c 0 a c b
a c 0 b 0 b
a c 0 b c b
a c c a 0 b
a c c a c b
a c c b 0 b
a c c b c b
c 0 0 c 0 c
c 0 0 c c c
c 0 0 0 0 c
c 0 0 0 c c
c 0 c c 0 c
c 0 c c c c
c 0 c 0 0 c
c 0 c 0 c c
c c 0 c 0 0
c c 0 c c 0
c c 0 0 0 0
c c 0 0 c 0
c c c c 0 0
c c c c c 0
c c c 0 0 0
c c c 0 c 0
dmin: 1
Weight Enumerator: 1x0 + 3x1 + 6x2 + 14x3 + 21x4 + 15x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)3 (X_b)3 + (X_0)2 (X_b)3 (X_c)1 + (X_0)3 (X_a)1 (X_b)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_b)3 (X_c)1 + (X_0)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_a)3 + (X_0)2 (X_a)3 (X_c)1 + (X_0)3 (X_a)2 (X_b)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)3 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 a 0 0 0
0 0 a 0 a 0
0 0 a 0 b 0
0 0 a 0 c 0
0 0 b 0 0 0
0 0 b 0 a 0
0 0 b 0 b 0
0 0 b 0 c 0
0 0 c 0 0 0
0 0 c 0 a 0
0 0 c 0 b 0
0 0 c 0 c 0
0 a 0 0 0 0
0 a 0 0 a 0
0 a 0 0 b 0
0 a 0 0 c 0
0 a a 0 0 0
0 a a 0 a 0
0 a a 0 b 0
0 a a 0 c 0
0 a b 0 0 0
0 a b 0 a 0
0 a b 0 b 0
0 a b 0 c 0
0 a c 0 0 0
0 a c 0 a 0
0 a c 0 b 0
0 a c 0 c 0
0 b 0 0 0 0
0 b 0 0 a 0
0 b 0 0 b 0
0 b 0 0 c 0
0 b a 0 0 0
0 b a 0 a 0
0 b a 0 b 0
0 b a 0 c 0
0 b b 0 0 0
0 b b 0 a 0
0 b b 0 b 0
0 b b 0 c 0
0 b c 0 0 0
0 b c 0 a 0
0 b c 0 b 0
0 b c 0 c 0
0 c 0 0 0 0
0 c 0 0 a 0
0 c 0 0 b 0
0 c 0 0 c 0
0 c a 0 0 0
0 c a 0 a 0
0 c a 0 b 0
0 c a 0 c 0
0 c b 0 0 0
0 c b 0 a 0
0 c b 0 b 0
0 c b 0 c 0
0 c c 0 0 0
0 c c 0 a 0
0 c c 0 b 0
0 c c 0 c 0
Is it a nice code?: Yes
Generator Matrix-90
a 0 0 a 0 a
b 0 0 b 0 b
0 c 0 0 0 c
0 0 c 0 0 0
0 0 0 c 0 0
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 0
0 0 0 c c c
0 0 c 0 0 0
0 0 c 0 c c
0 0 c c 0 0
0 0 c c c c
0 c 0 0 0 c
0 c 0 0 c 0
0 c 0 c 0 c
0 c 0 c c 0
0 c c 0 0 c
0 c c 0 c 0
0 c c c 0 c
0 c c c c 0
b 0 0 b 0 b
b 0 0 b c a
b 0 0 a 0 b
b 0 0 a c a
b 0 c b 0 b
b 0 c b c a
b 0 c a 0 b
b 0 c a c a
b c 0 b 0 a
b c 0 b c b
b c 0 a 0 a
b c 0 a c b
b c c b 0 a
b c c b c b
b c c a 0 a
b c c a c b
a 0 0 a 0 a
a 0 0 a c b
a 0 0 b 0 a
a 0 0 b c b
a 0 c a 0 a
a 0 c a c b
a 0 c b 0 a
a 0 c b c b
a c 0 a 0 b
a c 0 a c a
a c 0 b 0 b
a c 0 b c a
a c c a 0 b
a c c a c a
a c c b 0 b
a c c b c a
c 0 0 c 0 c
c 0 0 c c 0
c 0 0 0 0 c
c 0 0 0 c 0
c 0 c c 0 c
c 0 c c c 0
c 0 c 0 0 c
c 0 c 0 c 0
c c 0 c 0 0
c c 0 c c c
c c 0 0 0 0
c c 0 0 c c
c c c c 0 0
c c c c c c
c c c 0 0 0
c c c 0 c c
dmin: 1
Weight Enumerator: 1x0 + 2x1 + 7x2 + 16x3 + 19x4 + 14x5 + 5x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_a)1 (X_b)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_b)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_a)2 (X_b)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_c)6 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 a 0 0 0
0 0 a 0 a 0
0 0 a 0 b 0
0 0 a 0 c 0
0 0 b 0 0 0
0 0 b 0 a 0
0 0 b 0 b 0
0 0 b 0 c 0
0 0 c 0 0 0
0 0 c 0 a 0
0 0 c 0 b 0
0 0 c 0 c 0
0 a 0 0 0 0
0 a 0 0 a 0
0 a 0 0 b 0
0 a 0 0 c 0
0 a a 0 0 0
0 a a 0 a 0
0 a a 0 b 0
0 a a 0 c 0
0 a b 0 0 0
0 a b 0 a 0
0 a b 0 b 0
0 a b 0 c 0
0 a c 0 0 0
0 a c 0 a 0
0 a c 0 b 0
0 a c 0 c 0
0 b 0 0 0 0
0 b 0 0 a 0
0 b 0 0 b 0
0 b 0 0 c 0
0 b a 0 0 0
0 b a 0 a 0
0 b a 0 b 0
0 b a 0 c 0
0 b b 0 0 0
0 b b 0 a 0
0 b b 0 b 0
0 b b 0 c 0
0 b c 0 0 0
0 b c 0 a 0
0 b c 0 b 0
0 b c 0 c 0
0 c 0 0 0 0
0 c 0 0 a 0
0 c 0 0 b 0
0 c 0 0 c 0
0 c a 0 0 0
0 c a 0 a 0
0 c a 0 b 0
0 c a 0 c 0
0 c b 0 0 0
0 c b 0 a 0
0 c b 0 b 0
0 c b 0 c 0
0 c c 0 0 0
0 c c 0 a 0
0 c c 0 b 0
0 c c 0 c 0
Is it a nice code?: Yes
Generator Matrix-91
a 0 0 a 0 a
b 0 0 b 0 b
0 c 0 0 0 c
0 0 c 0 0 0
0 0 0 c 0 c
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 c
0 0 0 c c c
0 0 c 0 0 0
0 0 c 0 c 0
0 0 c c 0 c
0 0 c c c c
0 c 0 0 0 c
0 c 0 0 c c
0 c 0 c 0 0
0 c 0 c c 0
0 c c 0 0 c
0 c c 0 c c
0 c c c 0 0
0 c c c c 0
b 0 0 b 0 b
b 0 0 b c b
b 0 0 a 0 a
b 0 0 a c a
b 0 c b 0 b
b 0 c b c b
b 0 c a 0 a
b 0 c a c a
b c 0 b 0 a
b c 0 b c a
b c 0 a 0 b
b c 0 a c b
b c c b 0 a
b c c b c a
b c c a 0 b
b c c a c b
a 0 0 a 0 a
a 0 0 a c a
a 0 0 b 0 b
a 0 0 b c b
a 0 c a 0 a
a 0 c a c a
a 0 c b 0 b
a 0 c b c b
a c 0 a 0 b
a c 0 a c b
a c 0 b 0 a
a c 0 b c a
a c c a 0 b
a c c a c b
a c c b 0 a
a c c b c a
c 0 0 c 0 c
c 0 0 c c c
c 0 0 0 0 0
c 0 0 0 c 0
c 0 c c 0 c
c 0 c c c c
c 0 c 0 0 0
c 0 c 0 c 0
c c 0 c 0 0
c c 0 c c 0
c c 0 0 0 c
c c 0 0 c c
c c c c 0 0
c c c c c 0
c c c 0 0 c
c c c 0 c c
dmin: 1
Weight Enumerator: 1x0 + 3x1 + 6x2 + 14x3 + 21x4 + 15x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_b)3 + (X_0)2 (X_b)3 (X_c)1 + (X_0)3 (X_a)2 (X_b)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_b)3 (X_c)1 + (X_0)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)3 + (X_0)2 (X_a)3 (X_c)1 + (X_0)3 (X_a)1 (X_b)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)3 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 a 0 0 0
0 0 a 0 a 0
0 0 a 0 b 0
0 0 a 0 c 0
0 0 b 0 0 0
0 0 b 0 a 0
0 0 b 0 b 0
0 0 b 0 c 0
0 0 c 0 0 0
0 0 c 0 a 0
0 0 c 0 b 0
0 0 c 0 c 0
0 a 0 0 0 0
0 a 0 0 a 0
0 a 0 0 b 0
0 a 0 0 c 0
0 a a 0 0 0
0 a a 0 a 0
0 a a 0 b 0
0 a a 0 c 0
0 a b 0 0 0
0 a b 0 a 0
0 a b 0 b 0
0 a b 0 c 0
0 a c 0 0 0
0 a c 0 a 0
0 a c 0 b 0
0 a c 0 c 0
0 b 0 0 0 0
0 b 0 0 a 0
0 b 0 0 b 0
0 b 0 0 c 0
0 b a 0 0 0
0 b a 0 a 0
0 b a 0 b 0
0 b a 0 c 0
0 b b 0 0 0
0 b b 0 a 0
0 b b 0 b 0
0 b b 0 c 0
0 b c 0 0 0
0 b c 0 a 0
0 b c 0 b 0
0 b c 0 c 0
0 c 0 0 0 0
0 c 0 0 a 0
0 c 0 0 b 0
0 c 0 0 c 0
0 c a 0 0 0
0 c a 0 a 0
0 c a 0 b 0
0 c a 0 c 0
0 c b 0 0 0
0 c b 0 a 0
0 c b 0 b 0
0 c b 0 c 0
0 c c 0 0 0
0 c c 0 a 0
0 c c 0 b 0
0 c c 0 c 0
Is it a nice code?: Yes
Generator Matrix-92
a 0 0 a 0 a
b 0 0 b 0 b
0 c 0 0 0 c
0 0 c 0 0 0
0 0 0 c 0 c
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 c
0 0 0 c c 0
0 0 c 0 0 0
0 0 c 0 c c
0 0 c c 0 c
0 0 c c c 0
0 c 0 0 0 c
0 c 0 0 c 0
0 c 0 c 0 0
0 c 0 c c c
0 c c 0 0 c
0 c c 0 c 0
0 c c c 0 0
0 c c c c c
b 0 0 b 0 b
b 0 0 b c a
b 0 0 a 0 a
b 0 0 a c b
b 0 c b 0 b
b 0 c b c a
b 0 c a 0 a
b 0 c a c b
b c 0 b 0 a
b c 0 b c b
b c 0 a 0 b
b c 0 a c a
b c c b 0 a
b c c b c b
b c c a 0 b
b c c a c a
a 0 0 a 0 a
a 0 0 a c b
a 0 0 b 0 b
a 0 0 b c a
a 0 c a 0 a
a 0 c a c b
a 0 c b 0 b
a 0 c b c a
a c 0 a 0 b
a c 0 a c a
a c 0 b 0 a
a c 0 b c b
a c c a 0 b
a c c a c a
a c c b 0 a
a c c b c b
c 0 0 c 0 c
c 0 0 c c 0
c 0 0 0 0 0
c 0 0 0 c c
c 0 c c 0 c
c 0 c c c 0
c 0 c 0 0 0
c 0 c 0 c c
c c 0 c 0 0
c c 0 c c c
c c 0 0 0 c
c c 0 0 c 0
c c c c 0 0
c c c c c c
c c c 0 0 c
c c c 0 c 0
dmin: 1
Weight Enumerator: 1x0 + 2x1 + 7x2 + 16x3 + 19x4 + 14x5 + 5x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_a)2 (X_b)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_b)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_a)1 (X_b)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_c)6 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 a 0 0 0
0 0 a 0 a 0
0 0 a 0 b 0
0 0 a 0 c 0
0 0 b 0 0 0
0 0 b 0 a 0
0 0 b 0 b 0
0 0 b 0 c 0
0 0 c 0 0 0
0 0 c 0 a 0
0 0 c 0 b 0
0 0 c 0 c 0
0 a 0 0 0 0
0 a 0 0 a 0
0 a 0 0 b 0
0 a 0 0 c 0
0 a a 0 0 0
0 a a 0 a 0
0 a a 0 b 0
0 a a 0 c 0
0 a b 0 0 0
0 a b 0 a 0
0 a b 0 b 0
0 a b 0 c 0
0 a c 0 0 0
0 a c 0 a 0
0 a c 0 b 0
0 a c 0 c 0
0 b 0 0 0 0
0 b 0 0 a 0
0 b 0 0 b 0
0 b 0 0 c 0
0 b a 0 0 0
0 b a 0 a 0
0 b a 0 b 0
0 b a 0 c 0
0 b b 0 0 0
0 b b 0 a 0
0 b b 0 b 0
0 b b 0 c 0
0 b c 0 0 0
0 b c 0 a 0
0 b c 0 b 0
0 b c 0 c 0
0 c 0 0 0 0
0 c 0 0 a 0
0 c 0 0 b 0
0 c 0 0 c 0
0 c a 0 0 0
0 c a 0 a 0
0 c a 0 b 0
0 c a 0 c 0
0 c b 0 0 0
0 c b 0 a 0
0 c b 0 b 0
0 c b 0 c 0
0 c c 0 0 0
0 c c 0 a 0
0 c c 0 b 0
0 c c 0 c 0
Is it a nice code?: Yes
Generator Matrix-93
a 0 0 a 0 a
b 0 0 b 0 b
0 c 0 0 0 c
0 0 c 0 0 c
0 0 0 c 0 0
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 0
0 0 0 c c 0
0 0 c 0 0 c
0 0 c 0 c c
0 0 c c 0 c
0 0 c c c c
0 c 0 0 0 c
0 c 0 0 c c
0 c 0 c 0 c
0 c 0 c c c
0 c c 0 0 0
0 c c 0 c 0
0 c c c 0 0
0 c c c c 0
b 0 0 b 0 b
b 0 0 b c b
b 0 0 a 0 b
b 0 0 a c b
b 0 c b 0 a
b 0 c b c a
b 0 c a 0 a
b 0 c a c a
b c 0 b 0 a
b c 0 b c a
b c 0 a 0 a
b c 0 a c a
b c c b 0 b
b c c b c b
b c c a 0 b
b c c a c b
a 0 0 a 0 a
a 0 0 a c a
a 0 0 b 0 a
a 0 0 b c a
a 0 c a 0 b
a 0 c a c b
a 0 c b 0 b
a 0 c b c b
a c 0 a 0 b
a c 0 a c b
a c 0 b 0 b
a c 0 b c b
a c c a 0 a
a c c a c a
a c c b 0 a
a c c b c a
c 0 0 c 0 c
c 0 0 c c c
c 0 0 0 0 c
c 0 0 0 c c
c 0 c c 0 0
c 0 c c c 0
c 0 c 0 0 0
c 0 c 0 c 0
c c 0 c 0 0
c c 0 c c 0
c c 0 0 0 0
c c 0 0 c 0
c c c c 0 c
c c c c c c
c c c 0 0 c
c c c 0 c c
dmin: 1
Weight Enumerator: 1x0 + 2x1 + 7x2 + 16x3 + 19x4 + 14x5 + 5x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_b)3 + (X_0)2 (X_b)3 (X_c)1 + (X_0)3 (X_a)1 (X_b)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_b)3 (X_c)2 + (X_b)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)3 + (X_0)2 (X_a)3 (X_c)1 + (X_0)3 (X_a)2 (X_b)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)3 (X_c)2 + (X_a)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_c)6 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 a 0 0 0
0 0 a 0 a 0
0 0 a 0 b 0
0 0 a 0 c 0
0 0 b 0 0 0
0 0 b 0 a 0
0 0 b 0 b 0
0 0 b 0 c 0
0 0 c 0 0 0
0 0 c 0 a 0
0 0 c 0 b 0
0 0 c 0 c 0
0 a 0 0 0 0
0 a 0 0 a 0
0 a 0 0 b 0
0 a 0 0 c 0
0 a a 0 0 0
0 a a 0 a 0
0 a a 0 b 0
0 a a 0 c 0
0 a b 0 0 0
0 a b 0 a 0
0 a b 0 b 0
0 a b 0 c 0
0 a c 0 0 0
0 a c 0 a 0
0 a c 0 b 0
0 a c 0 c 0
0 b 0 0 0 0
0 b 0 0 a 0
0 b 0 0 b 0
0 b 0 0 c 0
0 b a 0 0 0
0 b a 0 a 0
0 b a 0 b 0
0 b a 0 c 0
0 b b 0 0 0
0 b b 0 a 0
0 b b 0 b 0
0 b b 0 c 0
0 b c 0 0 0
0 b c 0 a 0
0 b c 0 b 0
0 b c 0 c 0
0 c 0 0 0 0
0 c 0 0 a 0
0 c 0 0 b 0
0 c 0 0 c 0
0 c a 0 0 0
0 c a 0 a 0
0 c a 0 b 0
0 c a 0 c 0
0 c b 0 0 0
0 c b 0 a 0
0 c b 0 b 0
0 c b 0 c 0
0 c c 0 0 0
0 c c 0 a 0
0 c c 0 b 0
0 c c 0 c 0
Is it a nice code?: Yes
Generator Matrix-94
a 0 0 a 0 a
b 0 0 b 0 b
0 c 0 0 0 c
0 0 c 0 0 c
0 0 0 c 0 0
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 0
0 0 0 c c c
0 0 c 0 0 c
0 0 c 0 c 0
0 0 c c 0 c
0 0 c c c 0
0 c 0 0 0 c
0 c 0 0 c 0
0 c 0 c 0 c
0 c 0 c c 0
0 c c 0 0 0
0 c c 0 c c
0 c c c 0 0
0 c c c c c
b 0 0 b 0 b
b 0 0 b c a
b 0 0 a 0 b
b 0 0 a c a
b 0 c b 0 a
b 0 c b c b
b 0 c a 0 a
b 0 c a c b
b c 0 b 0 a
b c 0 b c b
b c 0 a 0 a
b c 0 a c b
b c c b 0 b
b c c b c a
b c c a 0 b
b c c a c a
a 0 0 a 0 a
a 0 0 a c b
a 0 0 b 0 a
a 0 0 b c b
a 0 c a 0 b
a 0 c a c a
a 0 c b 0 b
a 0 c b c a
a c 0 a 0 b
a c 0 a c a
a c 0 b 0 b
a c 0 b c a
a c c a 0 a
a c c a c b
a c c b 0 a
a c c b c b
c 0 0 c 0 c
c 0 0 c c 0
c 0 0 0 0 c
c 0 0 0 c 0
c 0 c c 0 0
c 0 c c c c
c 0 c 0 0 0
c 0 c 0 c c
c c 0 c 0 0
c c 0 c c c
c c 0 0 0 0
c c 0 0 c c
c c c c 0 c
c c c c c 0
c c c 0 0 c
c c c 0 c 0
dmin: 1
Weight Enumerator: 1x0 + 1x1 + 10x2 + 14x3 + 17x4 + 17x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_a)1 (X_b)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_b)3 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_a)2 (X_b)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 a 0 0 0
0 0 a 0 a 0
0 0 a 0 b 0
0 0 a 0 c 0
0 0 b 0 0 0
0 0 b 0 a 0
0 0 b 0 b 0
0 0 b 0 c 0
0 0 c 0 0 0
0 0 c 0 a 0
0 0 c 0 b 0
0 0 c 0 c 0
0 a 0 0 0 0
0 a 0 0 a 0
0 a 0 0 b 0
0 a 0 0 c 0
0 a a 0 0 0
0 a a 0 a 0
0 a a 0 b 0
0 a a 0 c 0
0 a b 0 0 0
0 a b 0 a 0
0 a b 0 b 0
0 a b 0 c 0
0 a c 0 0 0
0 a c 0 a 0
0 a c 0 b 0
0 a c 0 c 0
0 b 0 0 0 0
0 b 0 0 a 0
0 b 0 0 b 0
0 b 0 0 c 0
0 b a 0 0 0
0 b a 0 a 0
0 b a 0 b 0
0 b a 0 c 0
0 b b 0 0 0
0 b b 0 a 0
0 b b 0 b 0
0 b b 0 c 0
0 b c 0 0 0
0 b c 0 a 0
0 b c 0 b 0
0 b c 0 c 0
0 c 0 0 0 0
0 c 0 0 a 0
0 c 0 0 b 0
0 c 0 0 c 0
0 c a 0 0 0
0 c a 0 a 0
0 c a 0 b 0
0 c a 0 c 0
0 c b 0 0 0
0 c b 0 a 0
0 c b 0 b 0
0 c b 0 c 0
0 c c 0 0 0
0 c c 0 a 0
0 c c 0 b 0
0 c c 0 c 0
Is it a nice code?: Yes
Generator Matrix-95
a 0 0 a 0 a
b 0 0 b 0 b
0 c 0 0 0 c
0 0 c 0 0 c
0 0 0 c 0 c
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 c
0 0 0 c c c
0 0 c 0 0 c
0 0 c 0 c c
0 0 c c 0 0
0 0 c c c 0
0 c 0 0 0 c
0 c 0 0 c c
0 c 0 c 0 0
0 c 0 c c 0
0 c c 0 0 0
0 c c 0 c 0
0 c c c 0 c
0 c c c c c
b 0 0 b 0 b
b 0 0 b c b
b 0 0 a 0 a
b 0 0 a c a
b 0 c b 0 a
b 0 c b c a
b 0 c a 0 b
b 0 c a c b
b c 0 b 0 a
b c 0 b c a
b c 0 a 0 b
b c 0 a c b
b c c b 0 b
b c c b c b
b c c a 0 a
b c c a c a
a 0 0 a 0 a
a 0 0 a c a
a 0 0 b 0 b
a 0 0 b c b
a 0 c a 0 b
a 0 c a c b
a 0 c b 0 a
a 0 c b c a
a c 0 a 0 b
a c 0 a c b
a c 0 b 0 a
a c 0 b c a
a c c a 0 a
a c c a c a
a c c b 0 b
a c c b c b
c 0 0 c 0 c
c 0 0 c c c
c 0 0 0 0 0
c 0 0 0 c 0
c 0 c c 0 0
c 0 c c c 0
c 0 c 0 0 c
c 0 c 0 c c
c c 0 c 0 0
c c 0 c c 0
c c 0 0 0 c
c c 0 0 c c
c c c c 0 c
c c c c c c
c c c 0 0 0
c c c 0 c 0
dmin: 1
Weight Enumerator: 1x0 + 2x1 + 7x2 + 16x3 + 19x4 + 14x5 + 5x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)3 (X_b)3 + (X_0)2 (X_b)3 (X_c)1 + (X_0)3 (X_a)2 (X_b)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_b)3 (X_c)2 + (X_b)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_a)3 + (X_0)2 (X_a)3 (X_c)1 + (X_0)3 (X_a)1 (X_b)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_c)2 + (X_a)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_c)6 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 a 0 0 0
0 0 a 0 a 0
0 0 a 0 b 0
0 0 a 0 c 0
0 0 b 0 0 0
0 0 b 0 a 0
0 0 b 0 b 0
0 0 b 0 c 0
0 0 c 0 0 0
0 0 c 0 a 0
0 0 c 0 b 0
0 0 c 0 c 0
0 a 0 0 0 0
0 a 0 0 a 0
0 a 0 0 b 0
0 a 0 0 c 0
0 a a 0 0 0
0 a a 0 a 0
0 a a 0 b 0
0 a a 0 c 0
0 a b 0 0 0
0 a b 0 a 0
0 a b 0 b 0
0 a b 0 c 0
0 a c 0 0 0
0 a c 0 a 0
0 a c 0 b 0
0 a c 0 c 0
0 b 0 0 0 0
0 b 0 0 a 0
0 b 0 0 b 0
0 b 0 0 c 0
0 b a 0 0 0
0 b a 0 a 0
0 b a 0 b 0
0 b a 0 c 0
0 b b 0 0 0
0 b b 0 a 0
0 b b 0 b 0
0 b b 0 c 0
0 b c 0 0 0
0 b c 0 a 0
0 b c 0 b 0
0 b c 0 c 0
0 c 0 0 0 0
0 c 0 0 a 0
0 c 0 0 b 0
0 c 0 0 c 0
0 c a 0 0 0
0 c a 0 a 0
0 c a 0 b 0
0 c a 0 c 0
0 c b 0 0 0
0 c b 0 a 0
0 c b 0 b 0
0 c b 0 c 0
0 c c 0 0 0
0 c c 0 a 0
0 c c 0 b 0
0 c c 0 c 0
Is it a nice code?: Yes
Generator Matrix-96
a 0 0 a 0 a
b 0 0 b 0 b
0 c 0 0 0 c
0 0 c 0 0 c
0 0 0 c 0 c
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 c
0 0 0 c c 0
0 0 c 0 0 c
0 0 c 0 c 0
0 0 c c 0 0
0 0 c c c c
0 c 0 0 0 c
0 c 0 0 c 0
0 c 0 c 0 0
0 c 0 c c c
0 c c 0 0 0
0 c c 0 c c
0 c c c 0 c
0 c c c c 0
b 0 0 b 0 b
b 0 0 b c a
b 0 0 a 0 a
b 0 0 a c b
b 0 c b 0 a
b 0 c b c b
b 0 c a 0 b
b 0 c a c a
b c 0 b 0 a
b c 0 b c b
b c 0 a 0 b
b c 0 a c a
b c c b 0 b
b c c b c a
b c c a 0 a
b c c a c b
a 0 0 a 0 a
a 0 0 a c b
a 0 0 b 0 b
a 0 0 b c a
a 0 c a 0 b
a 0 c a c a
a 0 c b 0 a
a 0 c b c b
a c 0 a 0 b
a c 0 a c a
a c 0 b 0 a
a c 0 b c b
a c c a 0 a
a c c a c b
a c c b 0 b
a c c b c a
c 0 0 c 0 c
c 0 0 c c 0
c 0 0 0 0 0
c 0 0 0 c c
c 0 c c 0 0
c 0 c c c c
c 0 c 0 0 c
c 0 c 0 c 0
c c 0 c 0 0
c c 0 c c c
c c 0 0 0 c
c c 0 0 c 0
c c c c 0 c
c c c c c 0
c c c 0 0 0
c c c 0 c c
dmin: 1
Weight Enumerator: 1x0 + 1x1 + 10x2 + 14x3 + 17x4 + 17x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_a)2 (X_b)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_b)3 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_a)1 (X_b)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)3 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 a 0 0 0
0 0 a 0 a 0
0 0 a 0 b 0
0 0 a 0 c 0
0 0 b 0 0 0
0 0 b 0 a 0
0 0 b 0 b 0
0 0 b 0 c 0
0 0 c 0 0 0
0 0 c 0 a 0
0 0 c 0 b 0
0 0 c 0 c 0
0 a 0 0 0 0
0 a 0 0 a 0
0 a 0 0 b 0
0 a 0 0 c 0
0 a a 0 0 0
0 a a 0 a 0
0 a a 0 b 0
0 a a 0 c 0
0 a b 0 0 0
0 a b 0 a 0
0 a b 0 b 0
0 a b 0 c 0
0 a c 0 0 0
0 a c 0 a 0
0 a c 0 b 0
0 a c 0 c 0
0 b 0 0 0 0
0 b 0 0 a 0
0 b 0 0 b 0
0 b 0 0 c 0
0 b a 0 0 0
0 b a 0 a 0
0 b a 0 b 0
0 b a 0 c 0
0 b b 0 0 0
0 b b 0 a 0
0 b b 0 b 0
0 b b 0 c 0
0 b c 0 0 0
0 b c 0 a 0
0 b c 0 b 0
0 b c 0 c 0
0 c 0 0 0 0
0 c 0 0 a 0
0 c 0 0 b 0
0 c 0 0 c 0
0 c a 0 0 0
0 c a 0 a 0
0 c a 0 b 0
0 c a 0 c 0
0 c b 0 0 0
0 c b 0 a 0
0 c b 0 b 0
0 c b 0 c 0
0 c c 0 0 0
0 c c 0 a 0
0 c c 0 b 0
0 c c 0 c 0
Is it a nice code?: Yes
Generator Matrix-97
a 0 0 a a 0
b 0 0 b b 0
0 c 0 0 0 0
0 0 c 0 0 0
0 0 0 c 0 0
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 0
0 0 0 c c 0
0 0 c 0 0 0
0 0 c 0 c 0
0 0 c c 0 0
0 0 c c c 0
0 c 0 0 0 0
0 c 0 0 c 0
0 c 0 c 0 0
0 c 0 c c 0
0 c c 0 0 0
0 c c 0 c 0
0 c c c 0 0
0 c c c c 0
b 0 0 b b 0
b 0 0 b a 0
b 0 0 a b 0
b 0 0 a a 0
b 0 c b b 0
b 0 c b a 0
b 0 c a b 0
b 0 c a a 0
b c 0 b b 0
b c 0 b a 0
b c 0 a b 0
b c 0 a a 0
b c c b b 0
b c c b a 0
b c c a b 0
b c c a a 0
a 0 0 a a 0
a 0 0 a b 0
a 0 0 b a 0
a 0 0 b b 0
a 0 c a a 0
a 0 c a b 0
a 0 c b a 0
a 0 c b b 0
a c 0 a a 0
a c 0 a b 0
a c 0 b a 0
a c 0 b b 0
a c c a a 0
a c c a b 0
a c c b a 0
a c c b b 0
c 0 0 c c 0
c 0 0 c 0 0
c 0 0 0 c 0
c 0 0 0 0 0
c 0 c c c 0
c 0 c c 0 0
c 0 c 0 c 0
c 0 c 0 0 0
c c 0 c c 0
c c 0 c 0 0
c c 0 0 c 0
c c 0 0 0 0
c c c c c 0
c c c c 0 0
c c c 0 c 0
c c c 0 0 0
dmin: 1
Weight Enumerator: 1x0 + 5x1 + 10x2 + 18x3 + 21x4 + 9x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_b)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)3 (X_a)1 (X_b)2 + (X_0)3 (X_a)2 (X_b)1 + (X_0)2 (X_b)3 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_b)3 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)3 (X_a)2 (X_b)1 + (X_0)3 (X_a)1 (X_b)2 + (X_0)2 (X_a)3 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)3 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c
0 a 0 0 0 0
0 a 0 0 0 a
0 a 0 0 0 b
0 a 0 0 0 c
0 a a 0 0 0
0 a a 0 0 a
0 a a 0 0 b
0 a a 0 0 c
0 a b 0 0 0
0 a b 0 0 a
0 a b 0 0 b
0 a b 0 0 c
0 a c 0 0 0
0 a c 0 0 a
0 a c 0 0 b
0 a c 0 0 c
0 b 0 0 0 0
0 b 0 0 0 a
0 b 0 0 0 b
0 b 0 0 0 c
0 b a 0 0 0
0 b a 0 0 a
0 b a 0 0 b
0 b a 0 0 c
0 b b 0 0 0
0 b b 0 0 a
0 b b 0 0 b
0 b b 0 0 c
0 b c 0 0 0
0 b c 0 0 a
0 b c 0 0 b
0 b c 0 0 c
0 c 0 0 0 0
0 c 0 0 0 a
0 c 0 0 0 b
0 c 0 0 0 c
0 c a 0 0 0
0 c a 0 0 a
0 c a 0 0 b
0 c a 0 0 c
0 c b 0 0 0
0 c b 0 0 a
0 c b 0 0 b
0 c b 0 0 c
0 c c 0 0 0
0 c c 0 0 a
0 c c 0 0 b
0 c c 0 0 c
Is it a nice code?: Yes
Generator Matrix-98
a 0 0 a a 0
b 0 0 b b 0
0 c 0 0 0 0
0 0 c 0 0 0
0 0 0 c 0 0
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 0
0 0 0 c c c
0 0 c 0 0 0
0 0 c 0 c c
0 0 c c 0 0
0 0 c c c c
0 c 0 0 0 0
0 c 0 0 c c
0 c 0 c 0 0
0 c 0 c c c
0 c c 0 0 0
0 c c 0 c c
0 c c c 0 0
0 c c c c c
b 0 0 b b 0
b 0 0 b a c
b 0 0 a b 0
b 0 0 a a c
b 0 c b b 0
b 0 c b a c
b 0 c a b 0
b 0 c a a c
b c 0 b b 0
b c 0 b a c
b c 0 a b 0
b c 0 a a c
b c c b b 0
b c c b a c
b c c a b 0
b c c a a c
a 0 0 a a 0
a 0 0 a b c
a 0 0 b a 0
a 0 0 b b c
a 0 c a a 0
a 0 c a b c
a 0 c b a 0
a 0 c b b c
a c 0 a a 0
a c 0 a b c
a c 0 b a 0
a c 0 b b c
a c c a a 0
a c c a b c
a c c b a 0
a c c b b c
c 0 0 c c 0
c 0 0 c 0 c
c 0 0 0 c 0
c 0 0 0 0 c
c 0 c c c 0
c 0 c c 0 c
c 0 c 0 c 0
c 0 c 0 0 c
c c 0 c c 0
c c 0 c 0 c
c c 0 0 c 0
c c 0 0 0 c
c c c c c 0
c c c c 0 c
c c c 0 c 0
c c c 0 0 c
dmin: 1
Weight Enumerator: 1x0 + 3x1 + 6x2 + 14x3 + 21x4 + 15x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_a)1 (X_b)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_b)3 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_a)2 (X_b)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)3 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c
0 a 0 0 0 0
0 a 0 0 0 a
0 a 0 0 0 b
0 a 0 0 0 c
0 a a 0 0 0
0 a a 0 0 a
0 a a 0 0 b
0 a a 0 0 c
0 a b 0 0 0
0 a b 0 0 a
0 a b 0 0 b
0 a b 0 0 c
0 a c 0 0 0
0 a c 0 0 a
0 a c 0 0 b
0 a c 0 0 c
0 b 0 0 0 0
0 b 0 0 0 a
0 b 0 0 0 b
0 b 0 0 0 c
0 b a 0 0 0
0 b a 0 0 a
0 b a 0 0 b
0 b a 0 0 c
0 b b 0 0 0
0 b b 0 0 a
0 b b 0 0 b
0 b b 0 0 c
0 b c 0 0 0
0 b c 0 0 a
0 b c 0 0 b
0 b c 0 0 c
0 c 0 0 0 0
0 c 0 0 0 a
0 c 0 0 0 b
0 c 0 0 0 c
0 c a 0 0 0
0 c a 0 0 a
0 c a 0 0 b
0 c a 0 0 c
0 c b 0 0 0
0 c b 0 0 a
0 c b 0 0 b
0 c b 0 0 c
0 c c 0 0 0
0 c c 0 0 a
0 c c 0 0 b
0 c c 0 0 c
Is it a nice code?: Yes
Generator Matrix-99
a 0 0 a a 0
b 0 0 b b 0
0 c 0 0 0 0
0 0 c 0 0 0
0 0 0 c 0 c
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 c
0 0 0 c c c
0 0 c 0 0 0
0 0 c 0 c 0
0 0 c c 0 c
0 0 c c c c
0 c 0 0 0 0
0 c 0 0 c 0
0 c 0 c 0 c
0 c 0 c c c
0 c c 0 0 0
0 c c 0 c 0
0 c c c 0 c
0 c c c c c
b 0 0 b b 0
b 0 0 b a 0
b 0 0 a b c
b 0 0 a a c
b 0 c b b 0
b 0 c b a 0
b 0 c a b c
b 0 c a a c
b c 0 b b 0
b c 0 b a 0
b c 0 a b c
b c 0 a a c
b c c b b 0
b c c b a 0
b c c a b c
b c c a a c
a 0 0 a a 0
a 0 0 a b 0
a 0 0 b a c
a 0 0 b b c
a 0 c a a 0
a 0 c a b 0
a 0 c b a c
a 0 c b b c
a c 0 a a 0
a c 0 a b 0
a c 0 b a c
a c 0 b b c
a c c a a 0
a c c a b 0
a c c b a c
a c c b b c
c 0 0 c c 0
c 0 0 c 0 0
c 0 0 0 c c
c 0 0 0 0 c
c 0 c c c 0
c 0 c c 0 0
c 0 c 0 c c
c 0 c 0 0 c
c c 0 c c 0
c c 0 c 0 0
c c 0 0 c c
c c 0 0 0 c
c c c c c 0
c c c c 0 0
c c c 0 c c
c c c 0 0 c
dmin: 1
Weight Enumerator: 1x0 + 3x1 + 6x2 + 14x3 + 21x4 + 15x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)3 (X_b)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_b)3 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_b)3 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_a)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)3 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)3 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c
0 a 0 0 0 0
0 a 0 0 0 a
0 a 0 0 0 b
0 a 0 0 0 c
0 a a 0 0 0
0 a a 0 0 a
0 a a 0 0 b
0 a a 0 0 c
0 a b 0 0 0
0 a b 0 0 a
0 a b 0 0 b
0 a b 0 0 c
0 a c 0 0 0
0 a c 0 0 a
0 a c 0 0 b
0 a c 0 0 c
0 b 0 0 0 0
0 b 0 0 0 a
0 b 0 0 0 b
0 b 0 0 0 c
0 b a 0 0 0
0 b a 0 0 a
0 b a 0 0 b
0 b a 0 0 c
0 b b 0 0 0
0 b b 0 0 a
0 b b 0 0 b
0 b b 0 0 c
0 b c 0 0 0
0 b c 0 0 a
0 b c 0 0 b
0 b c 0 0 c
0 c 0 0 0 0
0 c 0 0 0 a
0 c 0 0 0 b
0 c 0 0 0 c
0 c a 0 0 0
0 c a 0 0 a
0 c a 0 0 b
0 c a 0 0 c
0 c b 0 0 0
0 c b 0 0 a
0 c b 0 0 b
0 c b 0 0 c
0 c c 0 0 0
0 c c 0 0 a
0 c c 0 0 b
0 c c 0 0 c
Is it a nice code?: Yes
Generator Matrix-100
a 0 0 a a 0
b 0 0 b b 0
0 c 0 0 0 0
0 0 c 0 0 0
0 0 0 c 0 c
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 c
0 0 0 c c 0
0 0 c 0 0 0
0 0 c 0 c c
0 0 c c 0 c
0 0 c c c 0
0 c 0 0 0 0
0 c 0 0 c c
0 c 0 c 0 c
0 c 0 c c 0
0 c c 0 0 0
0 c c 0 c c
0 c c c 0 c
0 c c c c 0
b 0 0 b b 0
b 0 0 b a c
b 0 0 a b c
b 0 0 a a 0
b 0 c b b 0
b 0 c b a c
b 0 c a b c
b 0 c a a 0
b c 0 b b 0
b c 0 b a c
b c 0 a b c
b c 0 a a 0
b c c b b 0
b c c b a c
b c c a b c
b c c a a 0
a 0 0 a a 0
a 0 0 a b c
a 0 0 b a c
a 0 0 b b 0
a 0 c a a 0
a 0 c a b c
a 0 c b a c
a 0 c b b 0
a c 0 a a 0
a c 0 a b c
a c 0 b a c
a c 0 b b 0
a c c a a 0
a c c a b c
a c c b a c
a c c b b 0
c 0 0 c c 0
c 0 0 c 0 c
c 0 0 0 c c
c 0 0 0 0 0
c 0 c c c 0
c 0 c c 0 c
c 0 c 0 c c
c 0 c 0 0 0
c c 0 c c 0
c c 0 c 0 c
c c 0 0 c c
c c 0 0 0 0
c c c c c 0
c c c c 0 c
c c c 0 c c
c c c 0 0 0
dmin: 1
Weight Enumerator: 1x0 + 3x1 + 6x2 + 14x3 + 21x4 + 15x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_a)2 (X_b)1 + (X_0)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_b)3 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_a)1 (X_b)2 + (X_0)2 (X_a)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c
0 a 0 0 0 0
0 a 0 0 0 a
0 a 0 0 0 b
0 a 0 0 0 c
0 a a 0 0 0
0 a a 0 0 a
0 a a 0 0 b
0 a a 0 0 c
0 a b 0 0 0
0 a b 0 0 a
0 a b 0 0 b
0 a b 0 0 c
0 a c 0 0 0
0 a c 0 0 a
0 a c 0 0 b
0 a c 0 0 c
0 b 0 0 0 0
0 b 0 0 0 a
0 b 0 0 0 b
0 b 0 0 0 c
0 b a 0 0 0
0 b a 0 0 a
0 b a 0 0 b
0 b a 0 0 c
0 b b 0 0 0
0 b b 0 0 a
0 b b 0 0 b
0 b b 0 0 c
0 b c 0 0 0
0 b c 0 0 a
0 b c 0 0 b
0 b c 0 0 c
0 c 0 0 0 0
0 c 0 0 0 a
0 c 0 0 0 b
0 c 0 0 0 c
0 c a 0 0 0
0 c a 0 0 a
0 c a 0 0 b
0 c a 0 0 c
0 c b 0 0 0
0 c b 0 0 a
0 c b 0 0 b
0 c b 0 0 c
0 c c 0 0 0
0 c c 0 0 a
0 c c 0 0 b
0 c c 0 0 c
Is it a nice code?: Yes
Generator Matrix-101
a 0 0 a a 0
b 0 0 b b 0
0 c 0 0 0 0
0 0 c 0 0 c
0 0 0 c 0 0
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 0
0 0 0 c c 0
0 0 c 0 0 c
0 0 c 0 c c
0 0 c c 0 c
0 0 c c c c
0 c 0 0 0 0
0 c 0 0 c 0
0 c 0 c 0 0
0 c 0 c c 0
0 c c 0 0 c
0 c c 0 c c
0 c c c 0 c
0 c c c c c
b 0 0 b b 0
b 0 0 b a 0
b 0 0 a b 0
b 0 0 a a 0
b 0 c b b c
b 0 c b a c
b 0 c a b c
b 0 c a a c
b c 0 b b 0
b c 0 b a 0
b c 0 a b 0
b c 0 a a 0
b c c b b c
b c c b a c
b c c a b c
b c c a a c
a 0 0 a a 0
a 0 0 a b 0
a 0 0 b a 0
a 0 0 b b 0
a 0 c a a c
a 0 c a b c
a 0 c b a c
a 0 c b b c
a c 0 a a 0
a c 0 a b 0
a c 0 b a 0
a c 0 b b 0
a c c a a c
a c c a b c
a c c b a c
a c c b b c
c 0 0 c c 0
c 0 0 c 0 0
c 0 0 0 c 0
c 0 0 0 0 0
c 0 c c c c
c 0 c c 0 c
c 0 c 0 c c
c 0 c 0 0 c
c c 0 c c 0
c c 0 c 0 0
c c 0 0 c 0
c c 0 0 0 0
c c c c c c
c c c c 0 c
c c c 0 c c
c c c 0 0 c
dmin: 1
Weight Enumerator: 1x0 + 4x1 + 7x2 + 16x3 + 15x4 + 12x5 + 9x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)3 (X_b)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)3 (X_a)1 (X_b)2 + (X_0)3 (X_a)2 (X_b)1 + (X_0)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_b)3 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_b)3 (X_c)3 + (X_a)1 (X_b)2 (X_c)3 + (X_a)1 (X_b)2 (X_c)3 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_a)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)3 (X_a)2 (X_b)1 + (X_0)3 (X_a)1 (X_b)2 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)3 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)3 (X_c)3 + (X_a)2 (X_b)1 (X_c)3 + (X_a)2 (X_b)1 (X_c)3 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_c)6 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c
0 a 0 0 0 0
0 a 0 0 0 a
0 a 0 0 0 b
0 a 0 0 0 c
0 a a 0 0 0
0 a a 0 0 a
0 a a 0 0 b
0 a a 0 0 c
0 a b 0 0 0
0 a b 0 0 a
0 a b 0 0 b
0 a b 0 0 c
0 a c 0 0 0
0 a c 0 0 a
0 a c 0 0 b
0 a c 0 0 c
0 b 0 0 0 0
0 b 0 0 0 a
0 b 0 0 0 b
0 b 0 0 0 c
0 b a 0 0 0
0 b a 0 0 a
0 b a 0 0 b
0 b a 0 0 c
0 b b 0 0 0
0 b b 0 0 a
0 b b 0 0 b
0 b b 0 0 c
0 b c 0 0 0
0 b c 0 0 a
0 b c 0 0 b
0 b c 0 0 c
0 c 0 0 0 0
0 c 0 0 0 a
0 c 0 0 0 b
0 c 0 0 0 c
0 c a 0 0 0
0 c a 0 0 a
0 c a 0 0 b
0 c a 0 0 c
0 c b 0 0 0
0 c b 0 0 a
0 c b 0 0 b
0 c b 0 0 c
0 c c 0 0 0
0 c c 0 0 a
0 c c 0 0 b
0 c c 0 0 c
Is it a nice code?: Yes
Generator Matrix-102
a 0 0 a a 0
b 0 0 b b 0
0 c 0 0 0 0
0 0 c 0 0 c
0 0 0 c 0 0
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 0
0 0 0 c c c
0 0 c 0 0 c
0 0 c 0 c 0
0 0 c c 0 c
0 0 c c c 0
0 c 0 0 0 0
0 c 0 0 c c
0 c 0 c 0 0
0 c 0 c c c
0 c c 0 0 c
0 c c 0 c 0
0 c c c 0 c
0 c c c c 0
b 0 0 b b 0
b 0 0 b a c
b 0 0 a b 0
b 0 0 a a c
b 0 c b b c
b 0 c b a 0
b 0 c a b c
b 0 c a a 0
b c 0 b b 0
b c 0 b a c
b c 0 a b 0
b c 0 a a c
b c c b b c
b c c b a 0
b c c a b c
b c c a a 0
a 0 0 a a 0
a 0 0 a b c
a 0 0 b a 0
a 0 0 b b c
a 0 c a a c
a 0 c a b 0
a 0 c b a c
a 0 c b b 0
a c 0 a a 0
a c 0 a b c
a c 0 b a 0
a c 0 b b c
a c c a a c
a c c a b 0
a c c b a c
a c c b b 0
c 0 0 c c 0
c 0 0 c 0 c
c 0 0 0 c 0
c 0 0 0 0 c
c 0 c c c c
c 0 c c 0 0
c 0 c 0 c c
c 0 c 0 0 0
c c 0 c c 0
c c 0 c 0 c
c c 0 0 c 0
c c 0 0 0 c
c c c c c c
c c c c 0 0
c c c 0 c c
c c c 0 0 0
dmin: 1
Weight Enumerator: 1x0 + 2x1 + 7x2 + 16x3 + 19x4 + 14x5 + 5x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_a)1 (X_b)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_b)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_a)2 (X_b)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_c)6 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c
0 a 0 0 0 0
0 a 0 0 0 a
0 a 0 0 0 b
0 a 0 0 0 c
0 a a 0 0 0
0 a a 0 0 a
0 a a 0 0 b
0 a a 0 0 c
0 a b 0 0 0
0 a b 0 0 a
0 a b 0 0 b
0 a b 0 0 c
0 a c 0 0 0
0 a c 0 0 a
0 a c 0 0 b
0 a c 0 0 c
0 b 0 0 0 0
0 b 0 0 0 a
0 b 0 0 0 b
0 b 0 0 0 c
0 b a 0 0 0
0 b a 0 0 a
0 b a 0 0 b
0 b a 0 0 c
0 b b 0 0 0
0 b b 0 0 a
0 b b 0 0 b
0 b b 0 0 c
0 b c 0 0 0
0 b c 0 0 a
0 b c 0 0 b
0 b c 0 0 c
0 c 0 0 0 0
0 c 0 0 0 a
0 c 0 0 0 b
0 c 0 0 0 c
0 c a 0 0 0
0 c a 0 0 a
0 c a 0 0 b
0 c a 0 0 c
0 c b 0 0 0
0 c b 0 0 a
0 c b 0 0 b
0 c b 0 0 c
0 c c 0 0 0
0 c c 0 0 a
0 c c 0 0 b
0 c c 0 0 c
Is it a nice code?: Yes
Generator Matrix-103
a 0 0 a a 0
b 0 0 b b 0
0 c 0 0 0 0
0 0 c 0 0 c
0 0 0 c 0 c
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 c
0 0 0 c c c
0 0 c 0 0 c
0 0 c 0 c c
0 0 c c 0 0
0 0 c c c 0
0 c 0 0 0 0
0 c 0 0 c 0
0 c 0 c 0 c
0 c 0 c c c
0 c c 0 0 c
0 c c 0 c c
0 c c c 0 0
0 c c c c 0
b 0 0 b b 0
b 0 0 b a 0
b 0 0 a b c
b 0 0 a a c
b 0 c b b c
b 0 c b a c
b 0 c a b 0
b 0 c a a 0
b c 0 b b 0
b c 0 b a 0
b c 0 a b c
b c 0 a a c
b c c b b c
b c c b a c
b c c a b 0
b c c a a 0
a 0 0 a a 0
a 0 0 a b 0
a 0 0 b a c
a 0 0 b b c
a 0 c a a c
a 0 c a b c
a 0 c b a 0
a 0 c b b 0
a c 0 a a 0
a c 0 a b 0
a c 0 b a c
a c 0 b b c
a c c a a c
a c c a b c
a c c b a 0
a c c b b 0
c 0 0 c c 0
c 0 0 c 0 0
c 0 0 0 c c
c 0 0 0 0 c
c 0 c c c c
c 0 c c 0 c
c 0 c 0 c 0
c 0 c 0 0 0
c c 0 c c 0
c c 0 c 0 0
c c 0 0 c c
c c 0 0 0 c
c c c c c c
c c c c 0 c
c c c 0 c 0
c c c 0 0 0
dmin: 1
Weight Enumerator: 1x0 + 2x1 + 7x2 + 16x3 + 19x4 + 14x5 + 5x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_b)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_b)3 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_b)3 (X_c)3 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)3 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)3 (X_c)3 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_c)6 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c
0 a 0 0 0 0
0 a 0 0 0 a
0 a 0 0 0 b
0 a 0 0 0 c
0 a a 0 0 0
0 a a 0 0 a
0 a a 0 0 b
0 a a 0 0 c
0 a b 0 0 0
0 a b 0 0 a
0 a b 0 0 b
0 a b 0 0 c
0 a c 0 0 0
0 a c 0 0 a
0 a c 0 0 b
0 a c 0 0 c
0 b 0 0 0 0
0 b 0 0 0 a
0 b 0 0 0 b
0 b 0 0 0 c
0 b a 0 0 0
0 b a 0 0 a
0 b a 0 0 b
0 b a 0 0 c
0 b b 0 0 0
0 b b 0 0 a
0 b b 0 0 b
0 b b 0 0 c
0 b c 0 0 0
0 b c 0 0 a
0 b c 0 0 b
0 b c 0 0 c
0 c 0 0 0 0
0 c 0 0 0 a
0 c 0 0 0 b
0 c 0 0 0 c
0 c a 0 0 0
0 c a 0 0 a
0 c a 0 0 b
0 c a 0 0 c
0 c b 0 0 0
0 c b 0 0 a
0 c b 0 0 b
0 c b 0 0 c
0 c c 0 0 0
0 c c 0 0 a
0 c c 0 0 b
0 c c 0 0 c
Is it a nice code?: Yes
Generator Matrix-104
a 0 0 a a 0
b 0 0 b b 0
0 c 0 0 0 0
0 0 c 0 0 c
0 0 0 c 0 c
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 c
0 0 0 c c 0
0 0 c 0 0 c
0 0 c 0 c 0
0 0 c c 0 0
0 0 c c c c
0 c 0 0 0 0
0 c 0 0 c c
0 c 0 c 0 c
0 c 0 c c 0
0 c c 0 0 c
0 c c 0 c 0
0 c c c 0 0
0 c c c c c
b 0 0 b b 0
b 0 0 b a c
b 0 0 a b c
b 0 0 a a 0
b 0 c b b c
b 0 c b a 0
b 0 c a b 0
b 0 c a a c
b c 0 b b 0
b c 0 b a c
b c 0 a b c
b c 0 a a 0
b c c b b c
b c c b a 0
b c c a b 0
b c c a a c
a 0 0 a a 0
a 0 0 a b c
a 0 0 b a c
a 0 0 b b 0
a 0 c a a c
a 0 c a b 0
a 0 c b a 0
a 0 c b b c
a c 0 a a 0
a c 0 a b c
a c 0 b a c
a c 0 b b 0
a c c a a c
a c c a b 0
a c c b a 0
a c c b b c
c 0 0 c c 0
c 0 0 c 0 c
c 0 0 0 c c
c 0 0 0 0 0
c 0 c c c c
c 0 c c 0 0
c 0 c 0 c 0
c 0 c 0 0 c
c c 0 c c 0
c c 0 c 0 c
c c 0 0 c c
c c 0 0 0 0
c c c c c c
c c c c 0 0
c c c 0 c 0
c c c 0 0 c
dmin: 1
Weight Enumerator: 1x0 + 2x1 + 7x2 + 16x3 + 19x4 + 14x5 + 5x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_a)2 (X_b)1 + (X_0)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_b)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_a)1 (X_b)2 + (X_0)1 (X_a)3 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_c)6 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c
0 a 0 0 0 0
0 a 0 0 0 a
0 a 0 0 0 b
0 a 0 0 0 c
0 a a 0 0 0
0 a a 0 0 a
0 a a 0 0 b
0 a a 0 0 c
0 a b 0 0 0
0 a b 0 0 a
0 a b 0 0 b
0 a b 0 0 c
0 a c 0 0 0
0 a c 0 0 a
0 a c 0 0 b
0 a c 0 0 c
0 b 0 0 0 0
0 b 0 0 0 a
0 b 0 0 0 b
0 b 0 0 0 c
0 b a 0 0 0
0 b a 0 0 a
0 b a 0 0 b
0 b a 0 0 c
0 b b 0 0 0
0 b b 0 0 a
0 b b 0 0 b
0 b b 0 0 c
0 b c 0 0 0
0 b c 0 0 a
0 b c 0 0 b
0 b c 0 0 c
0 c 0 0 0 0
0 c 0 0 0 a
0 c 0 0 0 b
0 c 0 0 0 c
0 c a 0 0 0
0 c a 0 0 a
0 c a 0 0 b
0 c a 0 0 c
0 c b 0 0 0
0 c b 0 0 a
0 c b 0 0 b
0 c b 0 0 c
0 c c 0 0 0
0 c c 0 0 a
0 c c 0 0 b
0 c c 0 0 c
Is it a nice code?: Yes
Generator Matrix-105
a 0 0 a a 0
b 0 0 b b 0
0 c 0 0 0 c
0 0 c 0 0 0
0 0 0 c 0 0
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 0
0 0 0 c c 0
0 0 c 0 0 0
0 0 c 0 c 0
0 0 c c 0 0
0 0 c c c 0
0 c 0 0 0 c
0 c 0 0 c c
0 c 0 c 0 c
0 c 0 c c c
0 c c 0 0 c
0 c c 0 c c
0 c c c 0 c
0 c c c c c
b 0 0 b b 0
b 0 0 b a 0
b 0 0 a b 0
b 0 0 a a 0
b 0 c b b 0
b 0 c b a 0
b 0 c a b 0
b 0 c a a 0
b c 0 b b c
b c 0 b a c
b c 0 a b c
b c 0 a a c
b c c b b c
b c c b a c
b c c a b c
b c c a a c
a 0 0 a a 0
a 0 0 a b 0
a 0 0 b a 0
a 0 0 b b 0
a 0 c a a 0
a 0 c a b 0
a 0 c b a 0
a 0 c b b 0
a c 0 a a c
a c 0 a b c
a c 0 b a c
a c 0 b b c
a c c a a c
a c c a b c
a c c b a c
a c c b b c
c 0 0 c c 0
c 0 0 c 0 0
c 0 0 0 c 0
c 0 0 0 0 0
c 0 c c c 0
c 0 c c 0 0
c 0 c 0 c 0
c 0 c 0 0 0
c c 0 c c c
c c 0 c 0 c
c c 0 0 c c
c c 0 0 0 c
c c c c c c
c c c c 0 c
c c c 0 c c
c c c 0 0 c
dmin: 1
Weight Enumerator: 1x0 + 4x1 + 7x2 + 16x3 + 15x4 + 12x5 + 9x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)3 (X_b)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)3 (X_a)1 (X_b)2 + (X_0)3 (X_a)2 (X_b)1 + (X_0)2 (X_b)3 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_b)3 (X_c)3 + (X_a)1 (X_b)2 (X_c)3 + (X_a)1 (X_b)2 (X_c)3 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_a)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)3 (X_a)2 (X_b)1 + (X_0)3 (X_a)1 (X_b)2 + (X_0)2 (X_a)3 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)3 (X_c)3 + (X_a)2 (X_b)1 (X_c)3 + (X_a)2 (X_b)1 (X_c)3 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_c)6 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c
0 a 0 0 0 0
0 a 0 0 0 a
0 a 0 0 0 b
0 a 0 0 0 c
0 a a 0 0 0
0 a a 0 0 a
0 a a 0 0 b
0 a a 0 0 c
0 a b 0 0 0
0 a b 0 0 a
0 a b 0 0 b
0 a b 0 0 c
0 a c 0 0 0
0 a c 0 0 a
0 a c 0 0 b
0 a c 0 0 c
0 b 0 0 0 0
0 b 0 0 0 a
0 b 0 0 0 b
0 b 0 0 0 c
0 b a 0 0 0
0 b a 0 0 a
0 b a 0 0 b
0 b a 0 0 c
0 b b 0 0 0
0 b b 0 0 a
0 b b 0 0 b
0 b b 0 0 c
0 b c 0 0 0
0 b c 0 0 a
0 b c 0 0 b
0 b c 0 0 c
0 c 0 0 0 0
0 c 0 0 0 a
0 c 0 0 0 b
0 c 0 0 0 c
0 c a 0 0 0
0 c a 0 0 a
0 c a 0 0 b
0 c a 0 0 c
0 c b 0 0 0
0 c b 0 0 a
0 c b 0 0 b
0 c b 0 0 c
0 c c 0 0 0
0 c c 0 0 a
0 c c 0 0 b
0 c c 0 0 c
Is it a nice code?: Yes
Generator Matrix-106
a 0 0 a a 0
b 0 0 b b 0
0 c 0 0 0 c
0 0 c 0 0 0
0 0 0 c 0 0
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 0
0 0 0 c c c
0 0 c 0 0 0
0 0 c 0 c c
0 0 c c 0 0
0 0 c c c c
0 c 0 0 0 c
0 c 0 0 c 0
0 c 0 c 0 c
0 c 0 c c 0
0 c c 0 0 c
0 c c 0 c 0
0 c c c 0 c
0 c c c c 0
b 0 0 b b 0
b 0 0 b a c
b 0 0 a b 0
b 0 0 a a c
b 0 c b b 0
b 0 c b a c
b 0 c a b 0
b 0 c a a c
b c 0 b b c
b c 0 b a 0
b c 0 a b c
b c 0 a a 0
b c c b b c
b c c b a 0
b c c a b c
b c c a a 0
a 0 0 a a 0
a 0 0 a b c
a 0 0 b a 0
a 0 0 b b c
a 0 c a a 0
a 0 c a b c
a 0 c b a 0
a 0 c b b c
a c 0 a a c
a c 0 a b 0
a c 0 b a c
a c 0 b b 0
a c c a a c
a c c a b 0
a c c b a c
a c c b b 0
c 0 0 c c 0
c 0 0 c 0 c
c 0 0 0 c 0
c 0 0 0 0 c
c 0 c c c 0
c 0 c c 0 c
c 0 c 0 c 0
c 0 c 0 0 c
c c 0 c c c
c c 0 c 0 0
c c 0 0 c c
c c 0 0 0 0
c c c c c c
c c c c 0 0
c c c 0 c c
c c c 0 0 0
dmin: 1
Weight Enumerator: 1x0 + 2x1 + 7x2 + 16x3 + 19x4 + 14x5 + 5x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_a)1 (X_b)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_b)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_a)2 (X_b)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)3 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_c)6 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c
0 a 0 0 0 0
0 a 0 0 0 a
0 a 0 0 0 b
0 a 0 0 0 c
0 a a 0 0 0
0 a a 0 0 a
0 a a 0 0 b
0 a a 0 0 c
0 a b 0 0 0
0 a b 0 0 a
0 a b 0 0 b
0 a b 0 0 c
0 a c 0 0 0
0 a c 0 0 a
0 a c 0 0 b
0 a c 0 0 c
0 b 0 0 0 0
0 b 0 0 0 a
0 b 0 0 0 b
0 b 0 0 0 c
0 b a 0 0 0
0 b a 0 0 a
0 b a 0 0 b
0 b a 0 0 c
0 b b 0 0 0
0 b b 0 0 a
0 b b 0 0 b
0 b b 0 0 c
0 b c 0 0 0
0 b c 0 0 a
0 b c 0 0 b
0 b c 0 0 c
0 c 0 0 0 0
0 c 0 0 0 a
0 c 0 0 0 b
0 c 0 0 0 c
0 c a 0 0 0
0 c a 0 0 a
0 c a 0 0 b
0 c a 0 0 c
0 c b 0 0 0
0 c b 0 0 a
0 c b 0 0 b
0 c b 0 0 c
0 c c 0 0 0
0 c c 0 0 a
0 c c 0 0 b
0 c c 0 0 c
Is it a nice code?: Yes
Generator Matrix-107
a 0 0 a a 0
b 0 0 b b 0
0 c 0 0 0 c
0 0 c 0 0 0
0 0 0 c 0 c
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 c
0 0 0 c c c
0 0 c 0 0 0
0 0 c 0 c 0
0 0 c c 0 c
0 0 c c c c
0 c 0 0 0 c
0 c 0 0 c c
0 c 0 c 0 0
0 c 0 c c 0
0 c c 0 0 c
0 c c 0 c c
0 c c c 0 0
0 c c c c 0
b 0 0 b b 0
b 0 0 b a 0
b 0 0 a b c
b 0 0 a a c
b 0 c b b 0
b 0 c b a 0
b 0 c a b c
b 0 c a a c
b c 0 b b c
b c 0 b a c
b c 0 a b 0
b c 0 a a 0
b c c b b c
b c c b a c
b c c a b 0
b c c a a 0
a 0 0 a a 0
a 0 0 a b 0
a 0 0 b a c
a 0 0 b b c
a 0 c a a 0
a 0 c a b 0
a 0 c b a c
a 0 c b b c
a c 0 a a c
a c 0 a b c
a c 0 b a 0
a c 0 b b 0
a c c a a c
a c c a b c
a c c b a 0
a c c b b 0
c 0 0 c c 0
c 0 0 c 0 0
c 0 0 0 c c
c 0 0 0 0 c
c 0 c c c 0
c 0 c c 0 0
c 0 c 0 c c
c 0 c 0 0 c
c c 0 c c c
c c 0 c 0 c
c c 0 0 c 0
c c 0 0 0 0
c c c c c c
c c c c 0 c
c c c 0 c 0
c c c 0 0 0
dmin: 1
Weight Enumerator: 1x0 + 2x1 + 7x2 + 16x3 + 19x4 + 14x5 + 5x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_b)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_b)3 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_b)3 (X_c)3 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)3 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)3 (X_c)3 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_c)6 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c
0 a 0 0 0 0
0 a 0 0 0 a
0 a 0 0 0 b
0 a 0 0 0 c
0 a a 0 0 0
0 a a 0 0 a
0 a a 0 0 b
0 a a 0 0 c
0 a b 0 0 0
0 a b 0 0 a
0 a b 0 0 b
0 a b 0 0 c
0 a c 0 0 0
0 a c 0 0 a
0 a c 0 0 b
0 a c 0 0 c
0 b 0 0 0 0
0 b 0 0 0 a
0 b 0 0 0 b
0 b 0 0 0 c
0 b a 0 0 0
0 b a 0 0 a
0 b a 0 0 b
0 b a 0 0 c
0 b b 0 0 0
0 b b 0 0 a
0 b b 0 0 b
0 b b 0 0 c
0 b c 0 0 0
0 b c 0 0 a
0 b c 0 0 b
0 b c 0 0 c
0 c 0 0 0 0
0 c 0 0 0 a
0 c 0 0 0 b
0 c 0 0 0 c
0 c a 0 0 0
0 c a 0 0 a
0 c a 0 0 b
0 c a 0 0 c
0 c b 0 0 0
0 c b 0 0 a
0 c b 0 0 b
0 c b 0 0 c
0 c c 0 0 0
0 c c 0 0 a
0 c c 0 0 b
0 c c 0 0 c
Is it a nice code?: Yes
Generator Matrix-108
a 0 0 a a 0
b 0 0 b b 0
0 c 0 0 0 c
0 0 c 0 0 0
0 0 0 c 0 c
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 c
0 0 0 c c 0
0 0 c 0 0 0
0 0 c 0 c c
0 0 c c 0 c
0 0 c c c 0
0 c 0 0 0 c
0 c 0 0 c 0
0 c 0 c 0 0
0 c 0 c c c
0 c c 0 0 c
0 c c 0 c 0
0 c c c 0 0
0 c c c c c
b 0 0 b b 0
b 0 0 b a c
b 0 0 a b c
b 0 0 a a 0
b 0 c b b 0
b 0 c b a c
b 0 c a b c
b 0 c a a 0
b c 0 b b c
b c 0 b a 0
b c 0 a b 0
b c 0 a a c
b c c b b c
b c c b a 0
b c c a b 0
b c c a a c
a 0 0 a a 0
a 0 0 a b c
a 0 0 b a c
a 0 0 b b 0
a 0 c a a 0
a 0 c a b c
a 0 c b a c
a 0 c b b 0
a c 0 a a c
a c 0 a b 0
a c 0 b a 0
a c 0 b b c
a c c a a c
a c c a b 0
a c c b a 0
a c c b b c
c 0 0 c c 0
c 0 0 c 0 c
c 0 0 0 c c
c 0 0 0 0 0
c 0 c c c 0
c 0 c c 0 c
c 0 c 0 c c
c 0 c 0 0 0
c c 0 c c c
c c 0 c 0 0
c c 0 0 c 0
c c 0 0 0 c
c c c c c c
c c c c 0 0
c c c 0 c 0
c c c 0 0 c
dmin: 1
Weight Enumerator: 1x0 + 2x1 + 7x2 + 16x3 + 19x4 + 14x5 + 5x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_a)2 (X_b)1 + (X_0)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_b)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_a)1 (X_b)2 + (X_0)2 (X_a)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_c)6 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c
0 a 0 0 0 0
0 a 0 0 0 a
0 a 0 0 0 b
0 a 0 0 0 c
0 a a 0 0 0
0 a a 0 0 a
0 a a 0 0 b
0 a a 0 0 c
0 a b 0 0 0
0 a b 0 0 a
0 a b 0 0 b
0 a b 0 0 c
0 a c 0 0 0
0 a c 0 0 a
0 a c 0 0 b
0 a c 0 0 c
0 b 0 0 0 0
0 b 0 0 0 a
0 b 0 0 0 b
0 b 0 0 0 c
0 b a 0 0 0
0 b a 0 0 a
0 b a 0 0 b
0 b a 0 0 c
0 b b 0 0 0
0 b b 0 0 a
0 b b 0 0 b
0 b b 0 0 c
0 b c 0 0 0
0 b c 0 0 a
0 b c 0 0 b
0 b c 0 0 c
0 c 0 0 0 0
0 c 0 0 0 a
0 c 0 0 0 b
0 c 0 0 0 c
0 c a 0 0 0
0 c a 0 0 a
0 c a 0 0 b
0 c a 0 0 c
0 c b 0 0 0
0 c b 0 0 a
0 c b 0 0 b
0 c b 0 0 c
0 c c 0 0 0
0 c c 0 0 a
0 c c 0 0 b
0 c c 0 0 c
Is it a nice code?: Yes
Generator Matrix-109
a 0 0 a a 0
b 0 0 b b 0
0 c 0 0 0 c
0 0 c 0 0 c
0 0 0 c 0 0
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 0
0 0 0 c c 0
0 0 c 0 0 c
0 0 c 0 c c
0 0 c c 0 c
0 0 c c c c
0 c 0 0 0 c
0 c 0 0 c c
0 c 0 c 0 c
0 c 0 c c c
0 c c 0 0 0
0 c c 0 c 0
0 c c c 0 0
0 c c c c 0
b 0 0 b b 0
b 0 0 b a 0
b 0 0 a b 0
b 0 0 a a 0
b 0 c b b c
b 0 c b a c
b 0 c a b c
b 0 c a a c
b c 0 b b c
b c 0 b a c
b c 0 a b c
b c 0 a a c
b c c b b 0
b c c b a 0
b c c a b 0
b c c a a 0
a 0 0 a a 0
a 0 0 a b 0
a 0 0 b a 0
a 0 0 b b 0
a 0 c a a c
a 0 c a b c
a 0 c b a c
a 0 c b b c
a c 0 a a c
a c 0 a b c
a c 0 b a c
a c 0 b b c
a c c a a 0
a c c a b 0
a c c b a 0
a c c b b 0
c 0 0 c c 0
c 0 0 c 0 0
c 0 0 0 c 0
c 0 0 0 0 0
c 0 c c c c
c 0 c c 0 c
c 0 c 0 c c
c 0 c 0 0 c
c c 0 c c c
c c 0 c 0 c
c c 0 0 c c
c c 0 0 0 c
c c c c c 0
c c c c 0 0
c c c 0 c 0
c c c 0 0 0
dmin: 1
Weight Enumerator: 1x0 + 3x1 + 6x2 + 18x3 + 9x4 + 27x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_b)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)3 (X_a)1 (X_b)2 + (X_0)3 (X_a)2 (X_b)1 + (X_0)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)3 (X_a)2 (X_b)1 + (X_0)3 (X_a)1 (X_b)2 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c
0 a 0 0 0 0
0 a 0 0 0 a
0 a 0 0 0 b
0 a 0 0 0 c
0 a a 0 0 0
0 a a 0 0 a
0 a a 0 0 b
0 a a 0 0 c
0 a b 0 0 0
0 a b 0 0 a
0 a b 0 0 b
0 a b 0 0 c
0 a c 0 0 0
0 a c 0 0 a
0 a c 0 0 b
0 a c 0 0 c
0 b 0 0 0 0
0 b 0 0 0 a
0 b 0 0 0 b
0 b 0 0 0 c
0 b a 0 0 0
0 b a 0 0 a
0 b a 0 0 b
0 b a 0 0 c
0 b b 0 0 0
0 b b 0 0 a
0 b b 0 0 b
0 b b 0 0 c
0 b c 0 0 0
0 b c 0 0 a
0 b c 0 0 b
0 b c 0 0 c
0 c 0 0 0 0
0 c 0 0 0 a
0 c 0 0 0 b
0 c 0 0 0 c
0 c a 0 0 0
0 c a 0 0 a
0 c a 0 0 b
0 c a 0 0 c
0 c b 0 0 0
0 c b 0 0 a
0 c b 0 0 b
0 c b 0 0 c
0 c c 0 0 0
0 c c 0 0 a
0 c c 0 0 b
0 c c 0 0 c
Is it a nice code?: Yes
Generator Matrix-110
a 0 0 a a 0
b 0 0 b b 0
0 c 0 0 0 c
0 0 c 0 0 c
0 0 0 c 0 0
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 0
0 0 0 c c c
0 0 c 0 0 c
0 0 c 0 c 0
0 0 c c 0 c
0 0 c c c 0
0 c 0 0 0 c
0 c 0 0 c 0
0 c 0 c 0 c
0 c 0 c c 0
0 c c 0 0 0
0 c c 0 c c
0 c c c 0 0
0 c c c c c
b 0 0 b b 0
b 0 0 b a c
b 0 0 a b 0
b 0 0 a a c
b 0 c b b c
b 0 c b a 0
b 0 c a b c
b 0 c a a 0
b c 0 b b c
b c 0 b a 0
b c 0 a b c
b c 0 a a 0
b c c b b 0
b c c b a c
b c c a b 0
b c c a a c
a 0 0 a a 0
a 0 0 a b c
a 0 0 b a 0
a 0 0 b b c
a 0 c a a c
a 0 c a b 0
a 0 c b a c
a 0 c b b 0
a c 0 a a c
a c 0 a b 0
a c 0 b a c
a c 0 b b 0
a c c a a 0
a c c a b c
a c c b a 0
a c c b b c
c 0 0 c c 0
c 0 0 c 0 c
c 0 0 0 c 0
c 0 0 0 0 c
c 0 c c c c
c 0 c c 0 0
c 0 c 0 c c
c 0 c 0 0 0
c c 0 c c c
c c 0 c 0 0
c c 0 0 c c
c c 0 0 0 0
c c c c c 0
c c c c 0 c
c c c 0 c 0
c c c 0 0 c
dmin: 1
Weight Enumerator: 1x0 + 1x1 + 10x2 + 14x3 + 17x4 + 17x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_a)1 (X_b)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_b)3 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_a)2 (X_b)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c
0 a 0 0 0 0
0 a 0 0 0 a
0 a 0 0 0 b
0 a 0 0 0 c
0 a a 0 0 0
0 a a 0 0 a
0 a a 0 0 b
0 a a 0 0 c
0 a b 0 0 0
0 a b 0 0 a
0 a b 0 0 b
0 a b 0 0 c
0 a c 0 0 0
0 a c 0 0 a
0 a c 0 0 b
0 a c 0 0 c
0 b 0 0 0 0
0 b 0 0 0 a
0 b 0 0 0 b
0 b 0 0 0 c
0 b a 0 0 0
0 b a 0 0 a
0 b a 0 0 b
0 b a 0 0 c
0 b b 0 0 0
0 b b 0 0 a
0 b b 0 0 b
0 b b 0 0 c
0 b c 0 0 0
0 b c 0 0 a
0 b c 0 0 b
0 b c 0 0 c
0 c 0 0 0 0
0 c 0 0 0 a
0 c 0 0 0 b
0 c 0 0 0 c
0 c a 0 0 0
0 c a 0 0 a
0 c a 0 0 b
0 c a 0 0 c
0 c b 0 0 0
0 c b 0 0 a
0 c b 0 0 b
0 c b 0 0 c
0 c c 0 0 0
0 c c 0 0 a
0 c c 0 0 b
0 c c 0 0 c
Is it a nice code?: Yes
Generator Matrix-111
a 0 0 a a 0
b 0 0 b b 0
0 c 0 0 0 c
0 0 c 0 0 c
0 0 0 c 0 c
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 c
0 0 0 c c c
0 0 c 0 0 c
0 0 c 0 c c
0 0 c c 0 0
0 0 c c c 0
0 c 0 0 0 c
0 c 0 0 c c
0 c 0 c 0 0
0 c 0 c c 0
0 c c 0 0 0
0 c c 0 c 0
0 c c c 0 c
0 c c c c c
b 0 0 b b 0
b 0 0 b a 0
b 0 0 a b c
b 0 0 a a c
b 0 c b b c
b 0 c b a c
b 0 c a b 0
b 0 c a a 0
b c 0 b b c
b c 0 b a c
b c 0 a b 0
b c 0 a a 0
b c c b b 0
b c c b a 0
b c c a b c
b c c a a c
a 0 0 a a 0
a 0 0 a b 0
a 0 0 b a c
a 0 0 b b c
a 0 c a a c
a 0 c a b c
a 0 c b a 0
a 0 c b b 0
a c 0 a a c
a c 0 a b c
a c 0 b a 0
a c 0 b b 0
a c c a a 0
a c c a b 0
a c c b a c
a c c b b c
c 0 0 c c 0
c 0 0 c 0 0
c 0 0 0 c c
c 0 0 0 0 c
c 0 c c c c
c 0 c c 0 c
c 0 c 0 c 0
c 0 c 0 0 0
c c 0 c c c
c c 0 c 0 c
c c 0 0 c 0
c c 0 0 0 0
c c c c c 0
c c c c 0 0
c c c 0 c c
c c c 0 0 c
dmin: 1
Weight Enumerator: 1x0 + 1x1 + 10x2 + 14x3 + 17x4 + 17x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)3 (X_b)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_a)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c
0 a 0 0 0 0
0 a 0 0 0 a
0 a 0 0 0 b
0 a 0 0 0 c
0 a a 0 0 0
0 a a 0 0 a
0 a a 0 0 b
0 a a 0 0 c
0 a b 0 0 0
0 a b 0 0 a
0 a b 0 0 b
0 a b 0 0 c
0 a c 0 0 0
0 a c 0 0 a
0 a c 0 0 b
0 a c 0 0 c
0 b 0 0 0 0
0 b 0 0 0 a
0 b 0 0 0 b
0 b 0 0 0 c
0 b a 0 0 0
0 b a 0 0 a
0 b a 0 0 b
0 b a 0 0 c
0 b b 0 0 0
0 b b 0 0 a
0 b b 0 0 b
0 b b 0 0 c
0 b c 0 0 0
0 b c 0 0 a
0 b c 0 0 b
0 b c 0 0 c
0 c 0 0 0 0
0 c 0 0 0 a
0 c 0 0 0 b
0 c 0 0 0 c
0 c a 0 0 0
0 c a 0 0 a
0 c a 0 0 b
0 c a 0 0 c
0 c b 0 0 0
0 c b 0 0 a
0 c b 0 0 b
0 c b 0 0 c
0 c c 0 0 0
0 c c 0 0 a
0 c c 0 0 b
0 c c 0 0 c
Is it a nice code?: Yes
Generator Matrix-112
a 0 0 a a 0
b 0 0 b b 0
0 c 0 0 0 c
0 0 c 0 0 c
0 0 0 c 0 c
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 c
0 0 0 c c 0
0 0 c 0 0 c
0 0 c 0 c 0
0 0 c c 0 0
0 0 c c c c
0 c 0 0 0 c
0 c 0 0 c 0
0 c 0 c 0 0
0 c 0 c c c
0 c c 0 0 0
0 c c 0 c c
0 c c c 0 c
0 c c c c 0
b 0 0 b b 0
b 0 0 b a c
b 0 0 a b c
b 0 0 a a 0
b 0 c b b c
b 0 c b a 0
b 0 c a b 0
b 0 c a a c
b c 0 b b c
b c 0 b a 0
b c 0 a b 0
b c 0 a a c
b c c b b 0
b c c b a c
b c c a b c
b c c a a 0
a 0 0 a a 0
a 0 0 a b c
a 0 0 b a c
a 0 0 b b 0
a 0 c a a c
a 0 c a b 0
a 0 c b a 0
a 0 c b b c
a c 0 a a c
a c 0 a b 0
a c 0 b a 0
a c 0 b b c
a c c a a 0
a c c a b c
a c c b a c
a c c b b 0
c 0 0 c c 0
c 0 0 c 0 c
c 0 0 0 c c
c 0 0 0 0 0
c 0 c c c c
c 0 c c 0 0
c 0 c 0 c 0
c 0 c 0 0 c
c c 0 c c c
c c 0 c 0 0
c c 0 0 c 0
c c 0 0 0 c
c c c c c 0
c c c c 0 c
c c c 0 c c
c c c 0 0 0
dmin: 1
Weight Enumerator: 1x0 + 1x1 + 10x2 + 14x3 + 17x4 + 17x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_a)2 (X_b)1 + (X_0)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_b)3 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_a)1 (X_b)2 + (X_0)1 (X_a)3 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)3 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)3 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c
0 a 0 0 0 0
0 a 0 0 0 a
0 a 0 0 0 b
0 a 0 0 0 c
0 a a 0 0 0
0 a a 0 0 a
0 a a 0 0 b
0 a a 0 0 c
0 a b 0 0 0
0 a b 0 0 a
0 a b 0 0 b
0 a b 0 0 c
0 a c 0 0 0
0 a c 0 0 a
0 a c 0 0 b
0 a c 0 0 c
0 b 0 0 0 0
0 b 0 0 0 a
0 b 0 0 0 b
0 b 0 0 0 c
0 b a 0 0 0
0 b a 0 0 a
0 b a 0 0 b
0 b a 0 0 c
0 b b 0 0 0
0 b b 0 0 a
0 b b 0 0 b
0 b b 0 0 c
0 b c 0 0 0
0 b c 0 0 a
0 b c 0 0 b
0 b c 0 0 c
0 c 0 0 0 0
0 c 0 0 0 a
0 c 0 0 0 b
0 c 0 0 0 c
0 c a 0 0 0
0 c a 0 0 a
0 c a 0 0 b
0 c a 0 0 c
0 c b 0 0 0
0 c b 0 0 a
0 c b 0 0 b
0 c b 0 0 c
0 c c 0 0 0
0 c c 0 0 a
0 c c 0 0 b
0 c c 0 0 c
Is it a nice code?: Yes
Generator Matrix-113
a 0 0 a a a
b 0 0 b b b
0 c 0 0 0 0
0 0 c 0 0 0
0 0 0 c 0 0
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 0
0 0 0 c c 0
0 0 c 0 0 0
0 0 c 0 c 0
0 0 c c 0 0
0 0 c c c 0
0 c 0 0 0 0
0 c 0 0 c 0
0 c 0 c 0 0
0 c 0 c c 0
0 c c 0 0 0
0 c c 0 c 0
0 c c c 0 0
0 c c c c 0
b 0 0 b b b
b 0 0 b a b
b 0 0 a b b
b 0 0 a a b
b 0 c b b b
b 0 c b a b
b 0 c a b b
b 0 c a a b
b c 0 b b b
b c 0 b a b
b c 0 a b b
b c 0 a a b
b c c b b b
b c c b a b
b c c a b b
b c c a a b
a 0 0 a a a
a 0 0 a b a
a 0 0 b a a
a 0 0 b b a
a 0 c a a a
a 0 c a b a
a 0 c b a a
a 0 c b b a
a c 0 a a a
a c 0 a b a
a c 0 b a a
a c 0 b b a
a c c a a a
a c c a b a
a c c b a a
a c c b b a
c 0 0 c c c
c 0 0 c 0 c
c 0 0 0 c c
c 0 0 0 0 c
c 0 c c c c
c 0 c c 0 c
c 0 c 0 c c
c 0 c 0 0 c
c c 0 c c c
c c 0 c 0 c
c c 0 0 c c
c c 0 0 0 c
c c c c c c
c c c c 0 c
c c c 0 c c
c c c 0 0 c
dmin: 1
Weight Enumerator: 1x0 + 4x1 + 7x2 + 8x3 + 15x4 + 20x5 + 9x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_b)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)2 (X_a)1 (X_b)3 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_b)4 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_b)4 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_b)4 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)2 (X_a)3 (X_b)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)4 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)4 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)4 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_c)6 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4
Dual Codewords:
0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0
0 a 0 0 0 0
0 a a 0 0 0
0 a b 0 0 0
0 a c 0 0 0
0 b 0 0 0 0
0 b a 0 0 0
0 b b 0 0 0
0 b c 0 0 0
0 c 0 0 0 0
0 c a 0 0 0
0 c b 0 0 0
0 c c 0 0 0
Is it a nice code?: No
Generator Matrix-114
a 0 0 a a a
b 0 0 b b b
0 c 0 0 0 0
0 0 c 0 0 0
0 0 0 c 0 0
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 0
0 0 0 c c c
0 0 c 0 0 0
0 0 c 0 c c
0 0 c c 0 0
0 0 c c c c
0 c 0 0 0 0
0 c 0 0 c c
0 c 0 c 0 0
0 c 0 c c c
0 c c 0 0 0
0 c c 0 c c
0 c c c 0 0
0 c c c c c
b 0 0 b b b
b 0 0 b a a
b 0 0 a b b
b 0 0 a a a
b 0 c b b b
b 0 c b a a
b 0 c a b b
b 0 c a a a
b c 0 b b b
b c 0 b a a
b c 0 a b b
b c 0 a a a
b c c b b b
b c c b a a
b c c a b b
b c c a a a
a 0 0 a a a
a 0 0 a b b
a 0 0 b a a
a 0 0 b b b
a 0 c a a a
a 0 c a b b
a 0 c b a a
a 0 c b b b
a c 0 a a a
a c 0 a b b
a c 0 b a a
a c 0 b b b
a c c a a a
a c c a b b
a c c b a a
a c c b b b
c 0 0 c c c
c 0 0 c 0 0
c 0 0 0 c c
c 0 0 0 0 0
c 0 c c c c
c 0 c c 0 0
c 0 c 0 c c
c 0 c 0 0 0
c c 0 c c c
c c 0 c 0 0
c c 0 0 c c
c c 0 0 0 0
c c c c c c
c c c c 0 0
c c c 0 c c
c c c 0 0 0
dmin: 1
Weight Enumerator: 1x0 + 4x1 + 7x2 + 8x3 + 15x4 + 20x5 + 9x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_a)1 (X_b)3 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_b)4 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_b)4 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_b)4 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_a)3 (X_b)1 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)4 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)4 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)4 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_c)6 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3
Dual Codewords:
0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0
0 a 0 0 0 0
0 a a 0 0 0
0 a b 0 0 0
0 a c 0 0 0
0 b 0 0 0 0
0 b a 0 0 0
0 b b 0 0 0
0 b c 0 0 0
0 c 0 0 0 0
0 c a 0 0 0
0 c b 0 0 0
0 c c 0 0 0
Is it a nice code?: No
Generator Matrix-115
a 0 0 a a a
b 0 0 b b b
0 c 0 0 0 0
0 0 c 0 0 0
0 0 0 c 0 c
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 c
0 0 0 c c c
0 0 c 0 0 0
0 0 c 0 c 0
0 0 c c 0 c
0 0 c c c c
0 c 0 0 0 0
0 c 0 0 c 0
0 c 0 c 0 c
0 c 0 c c c
0 c c 0 0 0
0 c c 0 c 0
0 c c c 0 c
0 c c c c c
b 0 0 b b b
b 0 0 b a b
b 0 0 a b a
b 0 0 a a a
b 0 c b b b
b 0 c b a b
b 0 c a b a
b 0 c a a a
b c 0 b b b
b c 0 b a b
b c 0 a b a
b c 0 a a a
b c c b b b
b c c b a b
b c c a b a
b c c a a a
a 0 0 a a a
a 0 0 a b a
a 0 0 b a b
a 0 0 b b b
a 0 c a a a
a 0 c a b a
a 0 c b a b
a 0 c b b b
a c 0 a a a
a c 0 a b a
a c 0 b a b
a c 0 b b b
a c c a a a
a c c a b a
a c c b a b
a c c b b b
c 0 0 c c c
c 0 0 c 0 c
c 0 0 0 c 0
c 0 0 0 0 0
c 0 c c c c
c 0 c c 0 c
c 0 c 0 c 0
c 0 c 0 0 0
c c 0 c c c
c c 0 c 0 c
c c 0 0 c 0
c c 0 0 0 0
c c c c c c
c c c c 0 c
c c c 0 c 0
c c c 0 0 0
dmin: 1
Weight Enumerator: 1x0 + 4x1 + 7x2 + 8x3 + 15x4 + 20x5 + 9x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)2 (X_b)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_b)4 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_b)4 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_b)4 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)4 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)4 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)4 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_c)6 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3
Dual Codewords:
0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0
0 a 0 0 0 0
0 a a 0 0 0
0 a b 0 0 0
0 a c 0 0 0
0 b 0 0 0 0
0 b a 0 0 0
0 b b 0 0 0
0 b c 0 0 0
0 c 0 0 0 0
0 c a 0 0 0
0 c b 0 0 0
0 c c 0 0 0
Is it a nice code?: No
Generator Matrix-116
a 0 0 a a a
b 0 0 b b b
0 c 0 0 0 0
0 0 c 0 0 0
0 0 0 c 0 c
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 c
0 0 0 c c 0
0 0 c 0 0 0
0 0 c 0 c c
0 0 c c 0 c
0 0 c c c 0
0 c 0 0 0 0
0 c 0 0 c c
0 c 0 c 0 c
0 c 0 c c 0
0 c c 0 0 0
0 c c 0 c c
0 c c c 0 c
0 c c c c 0
b 0 0 b b b
b 0 0 b a a
b 0 0 a b a
b 0 0 a a b
b 0 c b b b
b 0 c b a a
b 0 c a b a
b 0 c a a b
b c 0 b b b
b c 0 b a a
b c 0 a b a
b c 0 a a b
b c c b b b
b c c b a a
b c c a b a
b c c a a b
a 0 0 a a a
a 0 0 a b b
a 0 0 b a b
a 0 0 b b a
a 0 c a a a
a 0 c a b b
a 0 c b a b
a 0 c b b a
a c 0 a a a
a c 0 a b b
a c 0 b a b
a c 0 b b a
a c c a a a
a c c a b b
a c c b a b
a c c b b a
c 0 0 c c c
c 0 0 c 0 0
c 0 0 0 c 0
c 0 0 0 0 c
c 0 c c c c
c 0 c c 0 0
c 0 c 0 c 0
c 0 c 0 0 c
c c 0 c c c
c c 0 c 0 0
c c 0 0 c 0
c c 0 0 0 c
c c c c c c
c c c c 0 0
c c c 0 c 0
c c c 0 0 c
dmin: 1
Weight Enumerator: 1x0 + 2x1 + 7x2 + 12x3 + 15x4 + 18x5 + 9x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_b)4 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_b)4 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_b)4 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)4 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)4 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)4 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_c)6 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4
Dual Codewords:
0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0
0 a 0 0 0 0
0 a a 0 0 0
0 a b 0 0 0
0 a c 0 0 0
0 b 0 0 0 0
0 b a 0 0 0
0 b b 0 0 0
0 b c 0 0 0
0 c 0 0 0 0
0 c a 0 0 0
0 c b 0 0 0
0 c c 0 0 0
Is it a nice code?: No
Generator Matrix-117
a 0 0 a a a
b 0 0 b b b
0 c 0 0 0 0
0 0 c 0 0 c
0 0 0 c 0 0
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 0
0 0 0 c c 0
0 0 c 0 0 c
0 0 c 0 c c
0 0 c c 0 c
0 0 c c c c
0 c 0 0 0 0
0 c 0 0 c 0
0 c 0 c 0 0
0 c 0 c c 0
0 c c 0 0 c
0 c c 0 c c
0 c c c 0 c
0 c c c c c
b 0 0 b b b
b 0 0 b a b
b 0 0 a b b
b 0 0 a a b
b 0 c b b a
b 0 c b a a
b 0 c a b a
b 0 c a a a
b c 0 b b b
b c 0 b a b
b c 0 a b b
b c 0 a a b
b c c b b a
b c c b a a
b c c a b a
b c c a a a
a 0 0 a a a
a 0 0 a b a
a 0 0 b a a
a 0 0 b b a
a 0 c a a b
a 0 c a b b
a 0 c b a b
a 0 c b b b
a c 0 a a a
a c 0 a b a
a c 0 b a a
a c 0 b b a
a c c a a b
a c c a b b
a c c b a b
a c c b b b
c 0 0 c c c
c 0 0 c 0 c
c 0 0 0 c c
c 0 0 0 0 c
c 0 c c c 0
c 0 c c 0 0
c 0 c 0 c 0
c 0 c 0 0 0
c c 0 c c c
c c 0 c 0 c
c c 0 0 c c
c c 0 0 0 c
c c c c c 0
c c c c 0 0
c c c 0 c 0
c c c 0 0 0
dmin: 1
Weight Enumerator: 1x0 + 3x1 + 6x2 + 10x3 + 17x4 + 19x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)2 (X_b)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)2 (X_a)1 (X_b)3 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_b)4 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)2 (X_a)3 (X_b)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)4 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3
Dual Codewords:
0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0
0 a 0 0 0 0
0 a a 0 0 0
0 a b 0 0 0
0 a c 0 0 0
0 b 0 0 0 0
0 b a 0 0 0
0 b b 0 0 0
0 b c 0 0 0
0 c 0 0 0 0
0 c a 0 0 0
0 c b 0 0 0
0 c c 0 0 0
Is it a nice code?: No
Generator Matrix-118
a 0 0 a a a
b 0 0 b b b
0 c 0 0 0 0
0 0 c 0 0 c
0 0 0 c 0 0
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 0
0 0 0 c c c
0 0 c 0 0 c
0 0 c 0 c 0
0 0 c c 0 c
0 0 c c c 0
0 c 0 0 0 0
0 c 0 0 c c
0 c 0 c 0 0
0 c 0 c c c
0 c c 0 0 c
0 c c 0 c 0
0 c c c 0 c
0 c c c c 0
b 0 0 b b b
b 0 0 b a a
b 0 0 a b b
b 0 0 a a a
b 0 c b b a
b 0 c b a b
b 0 c a b a
b 0 c a a b
b c 0 b b b
b c 0 b a a
b c 0 a b b
b c 0 a a a
b c c b b a
b c c b a b
b c c a b a
b c c a a b
a 0 0 a a a
a 0 0 a b b
a 0 0 b a a
a 0 0 b b b
a 0 c a a b
a 0 c a b a
a 0 c b a b
a 0 c b b a
a c 0 a a a
a c 0 a b b
a c 0 b a a
a c 0 b b b
a c c a a b
a c c a b a
a c c b a b
a c c b b a
c 0 0 c c c
c 0 0 c 0 0
c 0 0 0 c c
c 0 0 0 0 0
c 0 c c c 0
c 0 c c 0 c
c 0 c 0 c 0
c 0 c 0 0 c
c c 0 c c c
c c 0 c 0 0
c c 0 0 c c
c c 0 0 0 0
c c c c c 0
c c c c 0 c
c c c 0 c 0
c c c 0 0 c
dmin: 1
Weight Enumerator: 1x0 + 3x1 + 6x2 + 10x3 + 17x4 + 19x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_a)1 (X_b)3 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_b)4 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_a)3 (X_b)1 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)4 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4
Dual Codewords:
0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0
0 a 0 0 0 0
0 a a 0 0 0
0 a b 0 0 0
0 a c 0 0 0
0 b 0 0 0 0
0 b a 0 0 0
0 b b 0 0 0
0 b c 0 0 0
0 c 0 0 0 0
0 c a 0 0 0
0 c b 0 0 0
0 c c 0 0 0
Is it a nice code?: No
Generator Matrix-119
a 0 0 a a a
b 0 0 b b b
0 c 0 0 0 0
0 0 c 0 0 c
0 0 0 c 0 c
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 c
0 0 0 c c c
0 0 c 0 0 c
0 0 c 0 c c
0 0 c c 0 0
0 0 c c c 0
0 c 0 0 0 0
0 c 0 0 c 0
0 c 0 c 0 c
0 c 0 c c c
0 c c 0 0 c
0 c c 0 c c
0 c c c 0 0
0 c c c c 0
b 0 0 b b b
b 0 0 b a b
b 0 0 a b a
b 0 0 a a a
b 0 c b b a
b 0 c b a a
b 0 c a b b
b 0 c a a b
b c 0 b b b
b c 0 b a b
b c 0 a b a
b c 0 a a a
b c c b b a
b c c b a a
b c c a b b
b c c a a b
a 0 0 a a a
a 0 0 a b a
a 0 0 b a b
a 0 0 b b b
a 0 c a a b
a 0 c a b b
a 0 c b a a
a 0 c b b a
a c 0 a a a
a c 0 a b a
a c 0 b a b
a c 0 b b b
a c c a a b
a c c a b b
a c c b a a
a c c b b a
c 0 0 c c c
c 0 0 c 0 c
c 0 0 0 c 0
c 0 0 0 0 0
c 0 c c c 0
c 0 c c 0 0
c 0 c 0 c c
c 0 c 0 0 c
c c 0 c c c
c c 0 c 0 c
c c 0 0 c 0
c c 0 0 0 0
c c c c c 0
c c c c 0 0
c c c 0 c c
c c c 0 0 c
dmin: 1
Weight Enumerator: 1x0 + 3x1 + 6x2 + 10x3 + 17x4 + 19x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_b)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_b)4 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)4 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4
Dual Codewords:
0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0
0 a 0 0 0 0
0 a a 0 0 0
0 a b 0 0 0
0 a c 0 0 0
0 b 0 0 0 0
0 b a 0 0 0
0 b b 0 0 0
0 b c 0 0 0
0 c 0 0 0 0
0 c a 0 0 0
0 c b 0 0 0
0 c c 0 0 0
Is it a nice code?: No
Generator Matrix-120
a 0 0 a a a
b 0 0 b b b
0 c 0 0 0 0
0 0 c 0 0 c
0 0 0 c 0 c
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 c
0 0 0 c c 0
0 0 c 0 0 c
0 0 c 0 c 0
0 0 c c 0 0
0 0 c c c c
0 c 0 0 0 0
0 c 0 0 c c
0 c 0 c 0 c
0 c 0 c c 0
0 c c 0 0 c
0 c c 0 c 0
0 c c c 0 0
0 c c c c c
b 0 0 b b b
b 0 0 b a a
b 0 0 a b a
b 0 0 a a b
b 0 c b b a
b 0 c b a b
b 0 c a b b
b 0 c a a a
b c 0 b b b
b c 0 b a a
b c 0 a b a
b c 0 a a b
b c c b b a
b c c b a b
b c c a b b
b c c a a a
a 0 0 a a a
a 0 0 a b b
a 0 0 b a b
a 0 0 b b a
a 0 c a a b
a 0 c a b a
a 0 c b a a
a 0 c b b b
a c 0 a a a
a c 0 a b b
a c 0 b a b
a c 0 b b a
a c c a a b
a c c a b a
a c c b a a
a c c b b b
c 0 0 c c c
c 0 0 c 0 0
c 0 0 0 c 0
c 0 0 0 0 c
c 0 c c c 0
c 0 c c 0 c
c 0 c 0 c c
c 0 c 0 0 0
c c 0 c c c
c c 0 c 0 0
c c 0 0 c 0
c c 0 0 0 c
c c c c c 0
c c c c 0 c
c c c 0 c c
c c c 0 0 0
dmin: 1
Weight Enumerator: 1x0 + 1x1 + 10x2 + 10x3 + 13x4 + 21x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_b)4 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)4 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3
Dual Codewords:
0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0
0 a 0 0 0 0
0 a a 0 0 0
0 a b 0 0 0
0 a c 0 0 0
0 b 0 0 0 0
0 b a 0 0 0
0 b b 0 0 0
0 b c 0 0 0
0 c 0 0 0 0
0 c a 0 0 0
0 c b 0 0 0
0 c c 0 0 0
Is it a nice code?: No
Generator Matrix-121
a 0 0 a a a
b 0 0 b b b
0 c 0 0 0 c
0 0 c 0 0 0
0 0 0 c 0 0
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 0
0 0 0 c c 0
0 0 c 0 0 0
0 0 c 0 c 0
0 0 c c 0 0
0 0 c c c 0
0 c 0 0 0 c
0 c 0 0 c c
0 c 0 c 0 c
0 c 0 c c c
0 c c 0 0 c
0 c c 0 c c
0 c c c 0 c
0 c c c c c
b 0 0 b b b
b 0 0 b a b
b 0 0 a b b
b 0 0 a a b
b 0 c b b b
b 0 c b a b
b 0 c a b b
b 0 c a a b
b c 0 b b a
b c 0 b a a
b c 0 a b a
b c 0 a a a
b c c b b a
b c c b a a
b c c a b a
b c c a a a
a 0 0 a a a
a 0 0 a b a
a 0 0 b a a
a 0 0 b b a
a 0 c a a a
a 0 c a b a
a 0 c b a a
a 0 c b b a
a c 0 a a b
a c 0 a b b
a c 0 b a b
a c 0 b b b
a c c a a b
a c c a b b
a c c b a b
a c c b b b
c 0 0 c c c
c 0 0 c 0 c
c 0 0 0 c c
c 0 0 0 0 c
c 0 c c c c
c 0 c c 0 c
c 0 c 0 c c
c 0 c 0 0 c
c c 0 c c 0
c c 0 c 0 0
c c 0 0 c 0
c c 0 0 0 0
c c c c c 0
c c c c 0 0
c c c 0 c 0
c c c 0 0 0
dmin: 1
Weight Enumerator: 1x0 + 3x1 + 6x2 + 10x3 + 17x4 + 19x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)2 (X_b)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)2 (X_a)1 (X_b)3 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_b)4 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)2 (X_a)3 (X_b)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)4 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3
Dual Codewords:
0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0
0 a 0 0 0 0
0 a a 0 0 0
0 a b 0 0 0
0 a c 0 0 0
0 b 0 0 0 0
0 b a 0 0 0
0 b b 0 0 0
0 b c 0 0 0
0 c 0 0 0 0
0 c a 0 0 0
0 c b 0 0 0
0 c c 0 0 0
Is it a nice code?: No
Generator Matrix-122
a 0 0 a a a
b 0 0 b b b
0 c 0 0 0 c
0 0 c 0 0 0
0 0 0 c 0 0
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 0
0 0 0 c c c
0 0 c 0 0 0
0 0 c 0 c c
0 0 c c 0 0
0 0 c c c c
0 c 0 0 0 c
0 c 0 0 c 0
0 c 0 c 0 c
0 c 0 c c 0
0 c c 0 0 c
0 c c 0 c 0
0 c c c 0 c
0 c c c c 0
b 0 0 b b b
b 0 0 b a a
b 0 0 a b b
b 0 0 a a a
b 0 c b b b
b 0 c b a a
b 0 c a b b
b 0 c a a a
b c 0 b b a
b c 0 b a b
b c 0 a b a
b c 0 a a b
b c c b b a
b c c b a b
b c c a b a
b c c a a b
a 0 0 a a a
a 0 0 a b b
a 0 0 b a a
a 0 0 b b b
a 0 c a a a
a 0 c a b b
a 0 c b a a
a 0 c b b b
a c 0 a a b
a c 0 a b a
a c 0 b a b
a c 0 b b a
a c c a a b
a c c a b a
a c c b a b
a c c b b a
c 0 0 c c c
c 0 0 c 0 0
c 0 0 0 c c
c 0 0 0 0 0
c 0 c c c c
c 0 c c 0 0
c 0 c 0 c c
c 0 c 0 0 0
c c 0 c c 0
c c 0 c 0 c
c c 0 0 c 0
c c 0 0 0 c
c c c c c 0
c c c c 0 c
c c c 0 c 0
c c c 0 0 c
dmin: 1
Weight Enumerator: 1x0 + 3x1 + 6x2 + 10x3 + 17x4 + 19x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_a)1 (X_b)3 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_b)4 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_a)3 (X_b)1 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)4 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4
Dual Codewords:
0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0
0 a 0 0 0 0
0 a a 0 0 0
0 a b 0 0 0
0 a c 0 0 0
0 b 0 0 0 0
0 b a 0 0 0
0 b b 0 0 0
0 b c 0 0 0
0 c 0 0 0 0
0 c a 0 0 0
0 c b 0 0 0
0 c c 0 0 0
Is it a nice code?: No
Generator Matrix-123
a 0 0 a a a
b 0 0 b b b
0 c 0 0 0 c
0 0 c 0 0 0
0 0 0 c 0 c
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 c
0 0 0 c c c
0 0 c 0 0 0
0 0 c 0 c 0
0 0 c c 0 c
0 0 c c c c
0 c 0 0 0 c
0 c 0 0 c c
0 c 0 c 0 0
0 c 0 c c 0
0 c c 0 0 c
0 c c 0 c c
0 c c c 0 0
0 c c c c 0
b 0 0 b b b
b 0 0 b a b
b 0 0 a b a
b 0 0 a a a
b 0 c b b b
b 0 c b a b
b 0 c a b a
b 0 c a a a
b c 0 b b a
b c 0 b a a
b c 0 a b b
b c 0 a a b
b c c b b a
b c c b a a
b c c a b b
b c c a a b
a 0 0 a a a
a 0 0 a b a
a 0 0 b a b
a 0 0 b b b
a 0 c a a a
a 0 c a b a
a 0 c b a b
a 0 c b b b
a c 0 a a b
a c 0 a b b
a c 0 b a a
a c 0 b b a
a c c a a b
a c c a b b
a c c b a a
a c c b b a
c 0 0 c c c
c 0 0 c 0 c
c 0 0 0 c 0
c 0 0 0 0 0
c 0 c c c c
c 0 c c 0 c
c 0 c 0 c 0
c 0 c 0 0 0
c c 0 c c 0
c c 0 c 0 0
c c 0 0 c c
c c 0 0 0 c
c c c c c 0
c c c c 0 0
c c c 0 c c
c c c 0 0 c
dmin: 1
Weight Enumerator: 1x0 + 3x1 + 6x2 + 10x3 + 17x4 + 19x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_b)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_b)4 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)4 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4
Dual Codewords:
0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0
0 a 0 0 0 0
0 a a 0 0 0
0 a b 0 0 0
0 a c 0 0 0
0 b 0 0 0 0
0 b a 0 0 0
0 b b 0 0 0
0 b c 0 0 0
0 c 0 0 0 0
0 c a 0 0 0
0 c b 0 0 0
0 c c 0 0 0
Is it a nice code?: No
Generator Matrix-124
a 0 0 a a a
b 0 0 b b b
0 c 0 0 0 c
0 0 c 0 0 0
0 0 0 c 0 c
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 c
0 0 0 c c 0
0 0 c 0 0 0
0 0 c 0 c c
0 0 c c 0 c
0 0 c c c 0
0 c 0 0 0 c
0 c 0 0 c 0
0 c 0 c 0 0
0 c 0 c c c
0 c c 0 0 c
0 c c 0 c 0
0 c c c 0 0
0 c c c c c
b 0 0 b b b
b 0 0 b a a
b 0 0 a b a
b 0 0 a a b
b 0 c b b b
b 0 c b a a
b 0 c a b a
b 0 c a a b
b c 0 b b a
b c 0 b a b
b c 0 a b b
b c 0 a a a
b c c b b a
b c c b a b
b c c a b b
b c c a a a
a 0 0 a a a
a 0 0 a b b
a 0 0 b a b
a 0 0 b b a
a 0 c a a a
a 0 c a b b
a 0 c b a b
a 0 c b b a
a c 0 a a b
a c 0 a b a
a c 0 b a a
a c 0 b b b
a c c a a b
a c c a b a
a c c b a a
a c c b b b
c 0 0 c c c
c 0 0 c 0 0
c 0 0 0 c 0
c 0 0 0 0 c
c 0 c c c c
c 0 c c 0 0
c 0 c 0 c 0
c 0 c 0 0 c
c c 0 c c 0
c c 0 c 0 c
c c 0 0 c c
c c 0 0 0 0
c c c c c 0
c c c c 0 c
c c c 0 c c
c c c 0 0 0
dmin: 1
Weight Enumerator: 1x0 + 1x1 + 10x2 + 10x3 + 13x4 + 21x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_b)4 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)4 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3
Dual Codewords:
0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0
0 a 0 0 0 0
0 a a 0 0 0
0 a b 0 0 0
0 a c 0 0 0
0 b 0 0 0 0
0 b a 0 0 0
0 b b 0 0 0
0 b c 0 0 0
0 c 0 0 0 0
0 c a 0 0 0
0 c b 0 0 0
0 c c 0 0 0
Is it a nice code?: No
Generator Matrix-125
a 0 0 a a a
b 0 0 b b b
0 c 0 0 0 c
0 0 c 0 0 c
0 0 0 c 0 0
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 0
0 0 0 c c 0
0 0 c 0 0 c
0 0 c 0 c c
0 0 c c 0 c
0 0 c c c c
0 c 0 0 0 c
0 c 0 0 c c
0 c 0 c 0 c
0 c 0 c c c
0 c c 0 0 0
0 c c 0 c 0
0 c c c 0 0
0 c c c c 0
b 0 0 b b b
b 0 0 b a b
b 0 0 a b b
b 0 0 a a b
b 0 c b b a
b 0 c b a a
b 0 c a b a
b 0 c a a a
b c 0 b b a
b c 0 b a a
b c 0 a b a
b c 0 a a a
b c c b b b
b c c b a b
b c c a b b
b c c a a b
a 0 0 a a a
a 0 0 a b a
a 0 0 b a a
a 0 0 b b a
a 0 c a a b
a 0 c a b b
a 0 c b a b
a 0 c b b b
a c 0 a a b
a c 0 a b b
a c 0 b a b
a c 0 b b b
a c c a a a
a c c a b a
a c c b a a
a c c b b a
c 0 0 c c c
c 0 0 c 0 c
c 0 0 0 c c
c 0 0 0 0 c
c 0 c c c 0
c 0 c c 0 0
c 0 c 0 c 0
c 0 c 0 0 0
c c 0 c c 0
c c 0 c 0 0
c c 0 0 c 0
c c 0 0 0 0
c c c c c c
c c c c 0 c
c c c 0 c c
c c c 0 0 c
dmin: 1
Weight Enumerator: 1x0 + 2x1 + 7x2 + 12x3 + 15x4 + 18x5 + 9x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_b)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)2 (X_a)1 (X_b)3 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_b)4 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)2 (X_a)3 (X_b)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)4 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_c)6 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4
Dual Codewords:
0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0
0 a 0 0 0 0
0 a a 0 0 0
0 a b 0 0 0
0 a c 0 0 0
0 b 0 0 0 0
0 b a 0 0 0
0 b b 0 0 0
0 b c 0 0 0
0 c 0 0 0 0
0 c a 0 0 0
0 c b 0 0 0
0 c c 0 0 0
Is it a nice code?: No
Generator Matrix-126
a 0 0 a a a
b 0 0 b b b
0 c 0 0 0 c
0 0 c 0 0 c
0 0 0 c 0 0
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 0
0 0 0 c c c
0 0 c 0 0 c
0 0 c 0 c 0
0 0 c c 0 c
0 0 c c c 0
0 c 0 0 0 c
0 c 0 0 c 0
0 c 0 c 0 c
0 c 0 c c 0
0 c c 0 0 0
0 c c 0 c c
0 c c c 0 0
0 c c c c c
b 0 0 b b b
b 0 0 b a a
b 0 0 a b b
b 0 0 a a a
b 0 c b b a
b 0 c b a b
b 0 c a b a
b 0 c a a b
b c 0 b b a
b c 0 b a b
b c 0 a b a
b c 0 a a b
b c c b b b
b c c b a a
b c c a b b
b c c a a a
a 0 0 a a a
a 0 0 a b b
a 0 0 b a a
a 0 0 b b b
a 0 c a a b
a 0 c a b a
a 0 c b a b
a 0 c b b a
a c 0 a a b
a c 0 a b a
a c 0 b a b
a c 0 b b a
a c c a a a
a c c a b b
a c c b a a
a c c b b b
c 0 0 c c c
c 0 0 c 0 0
c 0 0 0 c c
c 0 0 0 0 0
c 0 c c c 0
c 0 c c 0 c
c 0 c 0 c 0
c 0 c 0 0 c
c c 0 c c 0
c c 0 c 0 c
c c 0 0 c 0
c c 0 0 0 c
c c c c c c
c c c c 0 0
c c c 0 c c
c c c 0 0 0
dmin: 1
Weight Enumerator: 1x0 + 2x1 + 7x2 + 12x3 + 15x4 + 18x5 + 9x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_a)1 (X_b)3 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_b)4 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_a)3 (X_b)1 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)4 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_c)6 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3
Dual Codewords:
0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0
0 a 0 0 0 0
0 a a 0 0 0
0 a b 0 0 0
0 a c 0 0 0
0 b 0 0 0 0
0 b a 0 0 0
0 b b 0 0 0
0 b c 0 0 0
0 c 0 0 0 0
0 c a 0 0 0
0 c b 0 0 0
0 c c 0 0 0
Is it a nice code?: No
Generator Matrix-127
a 0 0 a a a
b 0 0 b b b
0 c 0 0 0 c
0 0 c 0 0 c
0 0 0 c 0 c
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 c
0 0 0 c c c
0 0 c 0 0 c
0 0 c 0 c c
0 0 c c 0 0
0 0 c c c 0
0 c 0 0 0 c
0 c 0 0 c c
0 c 0 c 0 0
0 c 0 c c 0
0 c c 0 0 0
0 c c 0 c 0
0 c c c 0 c
0 c c c c c
b 0 0 b b b
b 0 0 b a b
b 0 0 a b a
b 0 0 a a a
b 0 c b b a
b 0 c b a a
b 0 c a b b
b 0 c a a b
b c 0 b b a
b c 0 b a a
b c 0 a b b
b c 0 a a b
b c c b b b
b c c b a b
b c c a b a
b c c a a a
a 0 0 a a a
a 0 0 a b a
a 0 0 b a b
a 0 0 b b b
a 0 c a a b
a 0 c a b b
a 0 c b a a
a 0 c b b a
a c 0 a a b
a c 0 a b b
a c 0 b a a
a c 0 b b a
a c c a a a
a c c a b a
a c c b a b
a c c b b b
c 0 0 c c c
c 0 0 c 0 c
c 0 0 0 c 0
c 0 0 0 0 0
c 0 c c c 0
c 0 c c 0 0
c 0 c 0 c c
c 0 c 0 0 c
c c 0 c c 0
c c 0 c 0 0
c c 0 0 c c
c c 0 0 0 c
c c c c c c
c c c c 0 c
c c c 0 c 0
c c c 0 0 0
dmin: 1
Weight Enumerator: 1x0 + 2x1 + 7x2 + 12x3 + 15x4 + 18x5 + 9x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)2 (X_b)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_b)4 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)4 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_c)6 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3
Dual Codewords:
0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0
0 a 0 0 0 0
0 a a 0 0 0
0 a b 0 0 0
0 a c 0 0 0
0 b 0 0 0 0
0 b a 0 0 0
0 b b 0 0 0
0 b c 0 0 0
0 c 0 0 0 0
0 c a 0 0 0
0 c b 0 0 0
0 c c 0 0 0
Is it a nice code?: No
Generator Matrix-128
a 0 0 a a a
b 0 0 b b b
0 c 0 0 0 c
0 0 c 0 0 c
0 0 0 c 0 c
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 c
0 0 0 c c 0
0 0 c 0 0 c
0 0 c 0 c 0
0 0 c c 0 0
0 0 c c c c
0 c 0 0 0 c
0 c 0 0 c 0
0 c 0 c 0 0
0 c 0 c c c
0 c c 0 0 0
0 c c 0 c c
0 c c c 0 c
0 c c c c 0
b 0 0 b b b
b 0 0 b a a
b 0 0 a b a
b 0 0 a a b
b 0 c b b a
b 0 c b a b
b 0 c a b b
b 0 c a a a
b c 0 b b a
b c 0 b a b
b c 0 a b b
b c 0 a a a
b c c b b b
b c c b a a
b c c a b a
b c c a a b
a 0 0 a a a
a 0 0 a b b
a 0 0 b a b
a 0 0 b b a
a 0 c a a b
a 0 c a b a
a 0 c b a a
a 0 c b b b
a c 0 a a b
a c 0 a b a
a c 0 b a a
a c 0 b b b
a c c a a a
a c c a b b
a c c b a b
a c c b b a
c 0 0 c c c
c 0 0 c 0 0
c 0 0 0 c 0
c 0 0 0 0 c
c 0 c c c 0
c 0 c c 0 c
c 0 c 0 c c
c 0 c 0 0 0
c c 0 c c 0
c c 0 c 0 c
c c 0 0 c c
c c 0 0 0 0
c c c c c c
c c c c 0 0
c c c 0 c 0
c c c 0 0 c
dmin: 2
Weight Enumerator: 1x0 + 0x1 + 15x2 + 0x3 + 23x4 + 16x5 + 9x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_b)4 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)4 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_c)6 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4
Dual Codewords:
0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0
0 a 0 0 0 0
0 a a 0 0 0
0 a b 0 0 0
0 a c 0 0 0
0 b 0 0 0 0
0 b a 0 0 0
0 b b 0 0 0
0 b c 0 0 0
0 c 0 0 0 0
0 c a 0 0 0
0 c b 0 0 0
0 c c 0 0 0
Is it a nice code?: No
Generator Matrix-129
a 0 a 0 0 0
b 0 b 0 0 0
0 c 0 0 0 0
0 0 c 0 0 0
0 0 0 c 0 0
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 0
0 0 0 c c 0
0 0 c 0 0 0
0 0 c 0 c 0
0 0 c c 0 0
0 0 c c c 0
0 c 0 0 0 0
0 c 0 0 c 0
0 c 0 c 0 0
0 c 0 c c 0
0 c c 0 0 0
0 c c 0 c 0
0 c c c 0 0
0 c c c c 0
b 0 b 0 0 0
b 0 b 0 c 0
b 0 b c 0 0
b 0 b c c 0
b 0 a 0 0 0
b 0 a 0 c 0
b 0 a c 0 0
b 0 a c c 0
b c b 0 0 0
b c b 0 c 0
b c b c 0 0
b c b c c 0
b c a 0 0 0
b c a 0 c 0
b c a c 0 0
b c a c c 0
a 0 a 0 0 0
a 0 a 0 c 0
a 0 a c 0 0
a 0 a c c 0
a 0 b 0 0 0
a 0 b 0 c 0
a 0 b c 0 0
a 0 b c c 0
a c a 0 0 0
a c a 0 c 0
a c a c 0 0
a c a c c 0
a c b 0 0 0
a c b 0 c 0
a c b c 0 0
a c b c c 0
c 0 c 0 0 0
c 0 c 0 c 0
c 0 c c 0 0
c 0 c c c 0
c 0 0 0 0 0
c 0 0 0 c 0
c 0 0 c 0 0
c 0 0 c c 0
c c c 0 0 0
c c c 0 c 0
c c c c 0 0
c c c c c 0
c c 0 0 0 0
c c 0 0 c 0
c c 0 c 0 0
c c 0 c c 0
dmin: 1
Weight Enumerator: 1x0 + 5x1 + 14x2 + 22x3 + 17x4 + 5x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_b)2 + (X_0)3 (X_b)2 (X_c)1 + (X_0)3 (X_b)2 (X_c)1 + (X_0)2 (X_b)2 (X_c)2 + (X_0)4 (X_a)1 (X_b)1 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_b)2 (X_c)1 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_a)2 + (X_0)3 (X_a)2 (X_c)1 + (X_0)3 (X_a)2 (X_c)1 + (X_0)2 (X_a)2 (X_c)2 + (X_0)4 (X_a)1 (X_b)1 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_a)2 (X_c)1 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 a a 0
0 0 0 a a a
0 0 0 a a b
0 0 0 a a c
0 0 0 a b 0
0 0 0 a b a
0 0 0 a b b
0 0 0 a b c
0 0 0 a c 0
0 0 0 a c a
0 0 0 a c b
0 0 0 a c c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 b a 0
0 0 0 b a a
0 0 0 b a b
0 0 0 b a c
0 0 0 b b 0
0 0 0 b b a
0 0 0 b b b
0 0 0 b b c
0 0 0 b c 0
0 0 0 b c a
0 0 0 b c b
0 0 0 b c c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c
0 0 0 c a 0
0 0 0 c a a
0 0 0 c a b
0 0 0 c a c
0 0 0 c b 0
0 0 0 c b a
0 0 0 c b b
0 0 0 c b c
0 0 0 c c 0
0 0 0 c c a
0 0 0 c c b
0 0 0 c c c
0 a 0 0 0 0
0 a 0 0 0 a
0 a 0 0 0 b
0 a 0 0 0 c
0 a 0 0 a 0
0 a 0 0 a a
0 a 0 0 a b
0 a 0 0 a c
0 a 0 0 b 0
0 a 0 0 b a
0 a 0 0 b b
0 a 0 0 b c
0 a 0 0 c 0
0 a 0 0 c a
0 a 0 0 c b
0 a 0 0 c c
0 a 0 a 0 0
0 a 0 a 0 a
0 a 0 a 0 b
0 a 0 a 0 c
0 a 0 a a 0
0 a 0 a a a
0 a 0 a a b
0 a 0 a a c
0 a 0 a b 0
0 a 0 a b a
0 a 0 a b b
0 a 0 a b c
0 a 0 a c 0
0 a 0 a c a
0 a 0 a c b
0 a 0 a c c
0 a 0 b 0 0
0 a 0 b 0 a
0 a 0 b 0 b
0 a 0 b 0 c
0 a 0 b a 0
0 a 0 b a a
0 a 0 b a b
0 a 0 b a c
0 a 0 b b 0
0 a 0 b b a
0 a 0 b b b
0 a 0 b b c
0 a 0 b c 0
0 a 0 b c a
0 a 0 b c b
0 a 0 b c c
0 a 0 c 0 0
0 a 0 c 0 a
0 a 0 c 0 b
0 a 0 c 0 c
0 a 0 c a 0
0 a 0 c a a
0 a 0 c a b
0 a 0 c a c
0 a 0 c b 0
0 a 0 c b a
0 a 0 c b b
0 a 0 c b c
0 a 0 c c 0
0 a 0 c c a
0 a 0 c c b
0 a 0 c c c
0 b 0 0 0 0
0 b 0 0 0 a
0 b 0 0 0 b
0 b 0 0 0 c
0 b 0 0 a 0
0 b 0 0 a a
0 b 0 0 a b
0 b 0 0 a c
0 b 0 0 b 0
0 b 0 0 b a
0 b 0 0 b b
0 b 0 0 b c
0 b 0 0 c 0
0 b 0 0 c a
0 b 0 0 c b
0 b 0 0 c c
0 b 0 a 0 0
0 b 0 a 0 a
0 b 0 a 0 b
0 b 0 a 0 c
0 b 0 a a 0
0 b 0 a a a
0 b 0 a a b
0 b 0 a a c
0 b 0 a b 0
0 b 0 a b a
0 b 0 a b b
0 b 0 a b c
0 b 0 a c 0
0 b 0 a c a
0 b 0 a c b
0 b 0 a c c
0 b 0 b 0 0
0 b 0 b 0 a
0 b 0 b 0 b
0 b 0 b 0 c
0 b 0 b a 0
0 b 0 b a a
0 b 0 b a b
0 b 0 b a c
0 b 0 b b 0
0 b 0 b b a
0 b 0 b b b
0 b 0 b b c
0 b 0 b c 0
0 b 0 b c a
0 b 0 b c b
0 b 0 b c c
0 b 0 c 0 0
0 b 0 c 0 a
0 b 0 c 0 b
0 b 0 c 0 c
0 b 0 c a 0
0 b 0 c a a
0 b 0 c a b
0 b 0 c a c
0 b 0 c b 0
0 b 0 c b a
0 b 0 c b b
0 b 0 c b c
0 b 0 c c 0
0 b 0 c c a
0 b 0 c c b
0 b 0 c c c
0 c 0 0 0 0
0 c 0 0 0 a
0 c 0 0 0 b
0 c 0 0 0 c
0 c 0 0 a 0
0 c 0 0 a a
0 c 0 0 a b
0 c 0 0 a c
0 c 0 0 b 0
0 c 0 0 b a
0 c 0 0 b b
0 c 0 0 b c
0 c 0 0 c 0
0 c 0 0 c a
0 c 0 0 c b
0 c 0 0 c c
0 c 0 a 0 0
0 c 0 a 0 a
0 c 0 a 0 b
0 c 0 a 0 c
0 c 0 a a 0
0 c 0 a a a
0 c 0 a a b
0 c 0 a a c
0 c 0 a b 0
0 c 0 a b a
0 c 0 a b b
0 c 0 a b c
0 c 0 a c 0
0 c 0 a c a
0 c 0 a c b
0 c 0 a c c
0 c 0 b 0 0
0 c 0 b 0 a
0 c 0 b 0 b
0 c 0 b 0 c
0 c 0 b a 0
0 c 0 b a a
0 c 0 b a b
0 c 0 b a c
0 c 0 b b 0
0 c 0 b b a
0 c 0 b b b
0 c 0 b b c
0 c 0 b c 0
0 c 0 b c a
0 c 0 b c b
0 c 0 b c c
0 c 0 c 0 0
0 c 0 c 0 a
0 c 0 c 0 b
0 c 0 c 0 c
0 c 0 c a 0
0 c 0 c a a
0 c 0 c a b
0 c 0 c a c
0 c 0 c b 0
0 c 0 c b a
0 c 0 c b b
0 c 0 c b c
0 c 0 c c 0
0 c 0 c c a
0 c 0 c c b
0 c 0 c c c
Is it a nice code?: No
Generator Matrix-130
a 0 a 0 0 0
b 0 b 0 0 0
0 c 0 0 0 0
0 0 c 0 0 0
0 0 0 c 0 0
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 0
0 0 0 c c c
0 0 c 0 0 0
0 0 c 0 c c
0 0 c c 0 0
0 0 c c c c
0 c 0 0 0 0
0 c 0 0 c c
0 c 0 c 0 0
0 c 0 c c c
0 c c 0 0 0
0 c c 0 c c
0 c c c 0 0
0 c c c c c
b 0 b 0 0 0
b 0 b 0 c c
b 0 b c 0 0
b 0 b c c c
b 0 a 0 0 0
b 0 a 0 c c
b 0 a c 0 0
b 0 a c c c
b c b 0 0 0
b c b 0 c c
b c b c 0 0
b c b c c c
b c a 0 0 0
b c a 0 c c
b c a c 0 0
b c a c c c
a 0 a 0 0 0
a 0 a 0 c c
a 0 a c 0 0
a 0 a c c c
a 0 b 0 0 0
a 0 b 0 c c
a 0 b c 0 0
a 0 b c c c
a c a 0 0 0
a c a 0 c c
a c a c 0 0
a c a c c c
a c b 0 0 0
a c b 0 c c
a c b c 0 0
a c b c c c
c 0 c 0 0 0
c 0 c 0 c c
c 0 c c 0 0
c 0 c c c c
c 0 0 0 0 0
c 0 0 0 c c
c 0 0 c 0 0
c 0 0 c c c
c c c 0 0 0
c c c 0 c c
c c c c 0 0
c c c c c c
c c 0 0 0 0
c c 0 0 c c
c c 0 c 0 0
c c 0 c c c
dmin: 1
Weight Enumerator: 1x0 + 4x1 + 11x2 + 16x3 + 15x4 + 12x5 + 5x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)3 (X_b)2 (X_c)1 + (X_0)1 (X_b)2 (X_c)3 + (X_0)4 (X_a)1 (X_b)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_b)2 (X_c)1 + (X_0)1 (X_b)2 (X_c)3 + (X_0)2 (X_b)2 (X_c)2 + (X_b)2 (X_c)4 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_a)1 (X_b)1 (X_c)4 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)3 (X_a)2 (X_c)1 + (X_0)1 (X_a)2 (X_c)3 + (X_0)4 (X_a)1 (X_b)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_a)2 (X_c)1 + (X_0)1 (X_a)2 (X_c)3 + (X_0)2 (X_a)2 (X_c)2 + (X_a)2 (X_c)4 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_a)1 (X_b)1 (X_c)4 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_c)6 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 a a 0
0 0 0 a a a
0 0 0 a a b
0 0 0 a a c
0 0 0 a b 0
0 0 0 a b a
0 0 0 a b b
0 0 0 a b c
0 0 0 a c 0
0 0 0 a c a
0 0 0 a c b
0 0 0 a c c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 b a 0
0 0 0 b a a
0 0 0 b a b
0 0 0 b a c
0 0 0 b b 0
0 0 0 b b a
0 0 0 b b b
0 0 0 b b c
0 0 0 b c 0
0 0 0 b c a
0 0 0 b c b
0 0 0 b c c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c
0 0 0 c a 0
0 0 0 c a a
0 0 0 c a b
0 0 0 c a c
0 0 0 c b 0
0 0 0 c b a
0 0 0 c b b
0 0 0 c b c
0 0 0 c c 0
0 0 0 c c a
0 0 0 c c b
0 0 0 c c c
0 a 0 0 0 0
0 a 0 0 0 a
0 a 0 0 0 b
0 a 0 0 0 c
0 a 0 0 a 0
0 a 0 0 a a
0 a 0 0 a b
0 a 0 0 a c
0 a 0 0 b 0
0 a 0 0 b a
0 a 0 0 b b
0 a 0 0 b c
0 a 0 0 c 0
0 a 0 0 c a
0 a 0 0 c b
0 a 0 0 c c
0 a 0 a 0 0
0 a 0 a 0 a
0 a 0 a 0 b
0 a 0 a 0 c
0 a 0 a a 0
0 a 0 a a a
0 a 0 a a b
0 a 0 a a c
0 a 0 a b 0
0 a 0 a b a
0 a 0 a b b
0 a 0 a b c
0 a 0 a c 0
0 a 0 a c a
0 a 0 a c b
0 a 0 a c c
0 a 0 b 0 0
0 a 0 b 0 a
0 a 0 b 0 b
0 a 0 b 0 c
0 a 0 b a 0
0 a 0 b a a
0 a 0 b a b
0 a 0 b a c
0 a 0 b b 0
0 a 0 b b a
0 a 0 b b b
0 a 0 b b c
0 a 0 b c 0
0 a 0 b c a
0 a 0 b c b
0 a 0 b c c
0 a 0 c 0 0
0 a 0 c 0 a
0 a 0 c 0 b
0 a 0 c 0 c
0 a 0 c a 0
0 a 0 c a a
0 a 0 c a b
0 a 0 c a c
0 a 0 c b 0
0 a 0 c b a
0 a 0 c b b
0 a 0 c b c
0 a 0 c c 0
0 a 0 c c a
0 a 0 c c b
0 a 0 c c c
0 b 0 0 0 0
0 b 0 0 0 a
0 b 0 0 0 b
0 b 0 0 0 c
0 b 0 0 a 0
0 b 0 0 a a
0 b 0 0 a b
0 b 0 0 a c
0 b 0 0 b 0
0 b 0 0 b a
0 b 0 0 b b
0 b 0 0 b c
0 b 0 0 c 0
0 b 0 0 c a
0 b 0 0 c b
0 b 0 0 c c
0 b 0 a 0 0
0 b 0 a 0 a
0 b 0 a 0 b
0 b 0 a 0 c
0 b 0 a a 0
0 b 0 a a a
0 b 0 a a b
0 b 0 a a c
0 b 0 a b 0
0 b 0 a b a
0 b 0 a b b
0 b 0 a b c
0 b 0 a c 0
0 b 0 a c a
0 b 0 a c b
0 b 0 a c c
0 b 0 b 0 0
0 b 0 b 0 a
0 b 0 b 0 b
0 b 0 b 0 c
0 b 0 b a 0
0 b 0 b a a
0 b 0 b a b
0 b 0 b a c
0 b 0 b b 0
0 b 0 b b a
0 b 0 b b b
0 b 0 b b c
0 b 0 b c 0
0 b 0 b c a
0 b 0 b c b
0 b 0 b c c
0 b 0 c 0 0
0 b 0 c 0 a
0 b 0 c 0 b
0 b 0 c 0 c
0 b 0 c a 0
0 b 0 c a a
0 b 0 c a b
0 b 0 c a c
0 b 0 c b 0
0 b 0 c b a
0 b 0 c b b
0 b 0 c b c
0 b 0 c c 0
0 b 0 c c a
0 b 0 c c b
0 b 0 c c c
0 c 0 0 0 0
0 c 0 0 0 a
0 c 0 0 0 b
0 c 0 0 0 c
0 c 0 0 a 0
0 c 0 0 a a
0 c 0 0 a b
0 c 0 0 a c
0 c 0 0 b 0
0 c 0 0 b a
0 c 0 0 b b
0 c 0 0 b c
0 c 0 0 c 0
0 c 0 0 c a
0 c 0 0 c b
0 c 0 0 c c
0 c 0 a 0 0
0 c 0 a 0 a
0 c 0 a 0 b
0 c 0 a 0 c
0 c 0 a a 0
0 c 0 a a a
0 c 0 a a b
0 c 0 a a c
0 c 0 a b 0
0 c 0 a b a
0 c 0 a b b
0 c 0 a b c
0 c 0 a c 0
0 c 0 a c a
0 c 0 a c b
0 c 0 a c c
0 c 0 b 0 0
0 c 0 b 0 a
0 c 0 b 0 b
0 c 0 b 0 c
0 c 0 b a 0
0 c 0 b a a
0 c 0 b a b
0 c 0 b a c
0 c 0 b b 0
0 c 0 b b a
0 c 0 b b b
0 c 0 b b c
0 c 0 b c 0
0 c 0 b c a
0 c 0 b c b
0 c 0 b c c
0 c 0 c 0 0
0 c 0 c 0 a
0 c 0 c 0 b
0 c 0 c 0 c
0 c 0 c a 0
0 c 0 c a a
0 c 0 c a b
0 c 0 c a c
0 c 0 c b 0
0 c 0 c b a
0 c 0 c b b
0 c 0 c b c
0 c 0 c c 0
0 c 0 c c a
0 c 0 c c b
0 c 0 c c c
Is it a nice code?: No
Generator Matrix-131
a 0 a 0 0 0
b 0 b 0 0 0
0 c 0 0 0 0
0 0 c 0 0 0
0 0 0 c 0 c
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 c
0 0 0 c c c
0 0 c 0 0 0
0 0 c 0 c 0
0 0 c c 0 c
0 0 c c c c
0 c 0 0 0 0
0 c 0 0 c 0
0 c 0 c 0 c
0 c 0 c c c
0 c c 0 0 0
0 c c 0 c 0
0 c c c 0 c
0 c c c c c
b 0 b 0 0 0
b 0 b 0 c 0
b 0 b c 0 c
b 0 b c c c
b 0 a 0 0 0
b 0 a 0 c 0
b 0 a c 0 c
b 0 a c c c
b c b 0 0 0
b c b 0 c 0
b c b c 0 c
b c b c c c
b c a 0 0 0
b c a 0 c 0
b c a c 0 c
b c a c c c
a 0 a 0 0 0
a 0 a 0 c 0
a 0 a c 0 c
a 0 a c c c
a 0 b 0 0 0
a 0 b 0 c 0
a 0 b c 0 c
a 0 b c c c
a c a 0 0 0
a c a 0 c 0
a c a c 0 c
a c a c c c
a c b 0 0 0
a c b 0 c 0
a c b c 0 c
a c b c c c
c 0 c 0 0 0
c 0 c 0 c 0
c 0 c c 0 c
c 0 c c c c
c 0 0 0 0 0
c 0 0 0 c 0
c 0 0 c 0 c
c 0 0 c c c
c c c 0 0 0
c c c 0 c 0
c c c c 0 c
c c c c c c
c c 0 0 0 0
c c 0 0 c 0
c c 0 c 0 c
c c 0 c c c
dmin: 1
Weight Enumerator: 1x0 + 4x1 + 11x2 + 16x3 + 15x4 + 12x5 + 5x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)4 (X_b)2 + (X_0)3 (X_b)2 (X_c)1 + (X_0)2 (X_b)2 (X_c)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)4 (X_a)1 (X_b)1 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_b)2 (X_c)1 + (X_0)2 (X_b)2 (X_c)2 + (X_0)1 (X_b)2 (X_c)3 + (X_b)2 (X_c)4 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_a)1 (X_b)1 (X_c)4 + (X_0)4 (X_a)2 + (X_0)3 (X_a)2 (X_c)1 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)4 (X_a)1 (X_b)1 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_a)2 (X_c)1 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)2 (X_c)3 + (X_a)2 (X_c)4 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_a)1 (X_b)1 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_c)6 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 a a 0
0 0 0 a a a
0 0 0 a a b
0 0 0 a a c
0 0 0 a b 0
0 0 0 a b a
0 0 0 a b b
0 0 0 a b c
0 0 0 a c 0
0 0 0 a c a
0 0 0 a c b
0 0 0 a c c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 b a 0
0 0 0 b a a
0 0 0 b a b
0 0 0 b a c
0 0 0 b b 0
0 0 0 b b a
0 0 0 b b b
0 0 0 b b c
0 0 0 b c 0
0 0 0 b c a
0 0 0 b c b
0 0 0 b c c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c
0 0 0 c a 0
0 0 0 c a a
0 0 0 c a b
0 0 0 c a c
0 0 0 c b 0
0 0 0 c b a
0 0 0 c b b
0 0 0 c b c
0 0 0 c c 0
0 0 0 c c a
0 0 0 c c b
0 0 0 c c c
0 a 0 0 0 0
0 a 0 0 0 a
0 a 0 0 0 b
0 a 0 0 0 c
0 a 0 0 a 0
0 a 0 0 a a
0 a 0 0 a b
0 a 0 0 a c
0 a 0 0 b 0
0 a 0 0 b a
0 a 0 0 b b
0 a 0 0 b c
0 a 0 0 c 0
0 a 0 0 c a
0 a 0 0 c b
0 a 0 0 c c
0 a 0 a 0 0
0 a 0 a 0 a
0 a 0 a 0 b
0 a 0 a 0 c
0 a 0 a a 0
0 a 0 a a a
0 a 0 a a b
0 a 0 a a c
0 a 0 a b 0
0 a 0 a b a
0 a 0 a b b
0 a 0 a b c
0 a 0 a c 0
0 a 0 a c a
0 a 0 a c b
0 a 0 a c c
0 a 0 b 0 0
0 a 0 b 0 a
0 a 0 b 0 b
0 a 0 b 0 c
0 a 0 b a 0
0 a 0 b a a
0 a 0 b a b
0 a 0 b a c
0 a 0 b b 0
0 a 0 b b a
0 a 0 b b b
0 a 0 b b c
0 a 0 b c 0
0 a 0 b c a
0 a 0 b c b
0 a 0 b c c
0 a 0 c 0 0
0 a 0 c 0 a
0 a 0 c 0 b
0 a 0 c 0 c
0 a 0 c a 0
0 a 0 c a a
0 a 0 c a b
0 a 0 c a c
0 a 0 c b 0
0 a 0 c b a
0 a 0 c b b
0 a 0 c b c
0 a 0 c c 0
0 a 0 c c a
0 a 0 c c b
0 a 0 c c c
0 b 0 0 0 0
0 b 0 0 0 a
0 b 0 0 0 b
0 b 0 0 0 c
0 b 0 0 a 0
0 b 0 0 a a
0 b 0 0 a b
0 b 0 0 a c
0 b 0 0 b 0
0 b 0 0 b a
0 b 0 0 b b
0 b 0 0 b c
0 b 0 0 c 0
0 b 0 0 c a
0 b 0 0 c b
0 b 0 0 c c
0 b 0 a 0 0
0 b 0 a 0 a
0 b 0 a 0 b
0 b 0 a 0 c
0 b 0 a a 0
0 b 0 a a a
0 b 0 a a b
0 b 0 a a c
0 b 0 a b 0
0 b 0 a b a
0 b 0 a b b
0 b 0 a b c
0 b 0 a c 0
0 b 0 a c a
0 b 0 a c b
0 b 0 a c c
0 b 0 b 0 0
0 b 0 b 0 a
0 b 0 b 0 b
0 b 0 b 0 c
0 b 0 b a 0
0 b 0 b a a
0 b 0 b a b
0 b 0 b a c
0 b 0 b b 0
0 b 0 b b a
0 b 0 b b b
0 b 0 b b c
0 b 0 b c 0
0 b 0 b c a
0 b 0 b c b
0 b 0 b c c
0 b 0 c 0 0
0 b 0 c 0 a
0 b 0 c 0 b
0 b 0 c 0 c
0 b 0 c a 0
0 b 0 c a a
0 b 0 c a b
0 b 0 c a c
0 b 0 c b 0
0 b 0 c b a
0 b 0 c b b
0 b 0 c b c
0 b 0 c c 0
0 b 0 c c a
0 b 0 c c b
0 b 0 c c c
0 c 0 0 0 0
0 c 0 0 0 a
0 c 0 0 0 b
0 c 0 0 0 c
0 c 0 0 a 0
0 c 0 0 a a
0 c 0 0 a b
0 c 0 0 a c
0 c 0 0 b 0
0 c 0 0 b a
0 c 0 0 b b
0 c 0 0 b c
0 c 0 0 c 0
0 c 0 0 c a
0 c 0 0 c b
0 c 0 0 c c
0 c 0 a 0 0
0 c 0 a 0 a
0 c 0 a 0 b
0 c 0 a 0 c
0 c 0 a a 0
0 c 0 a a a
0 c 0 a a b
0 c 0 a a c
0 c 0 a b 0
0 c 0 a b a
0 c 0 a b b
0 c 0 a b c
0 c 0 a c 0
0 c 0 a c a
0 c 0 a c b
0 c 0 a c c
0 c 0 b 0 0
0 c 0 b 0 a
0 c 0 b 0 b
0 c 0 b 0 c
0 c 0 b a 0
0 c 0 b a a
0 c 0 b a b
0 c 0 b a c
0 c 0 b b 0
0 c 0 b b a
0 c 0 b b b
0 c 0 b b c
0 c 0 b c 0
0 c 0 b c a
0 c 0 b c b
0 c 0 b c c
0 c 0 c 0 0
0 c 0 c 0 a
0 c 0 c 0 b
0 c 0 c 0 c
0 c 0 c a 0
0 c 0 c a a
0 c 0 c a b
0 c 0 c a c
0 c 0 c b 0
0 c 0 c b a
0 c 0 c b b
0 c 0 c b c
0 c 0 c c 0
0 c 0 c c a
0 c 0 c c b
0 c 0 c c c
Is it a nice code?: No
Generator Matrix-132
a 0 a 0 0 0
b 0 b 0 0 0
0 c 0 0 0 0
0 0 c 0 0 0
0 0 0 c 0 c
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 c
0 0 0 c c 0
0 0 c 0 0 0
0 0 c 0 c c
0 0 c c 0 c
0 0 c c c 0
0 c 0 0 0 0
0 c 0 0 c c
0 c 0 c 0 c
0 c 0 c c 0
0 c c 0 0 0
0 c c 0 c c
0 c c c 0 c
0 c c c c 0
b 0 b 0 0 0
b 0 b 0 c c
b 0 b c 0 c
b 0 b c c 0
b 0 a 0 0 0
b 0 a 0 c c
b 0 a c 0 c
b 0 a c c 0
b c b 0 0 0
b c b 0 c c
b c b c 0 c
b c b c c 0
b c a 0 0 0
b c a 0 c c
b c a c 0 c
b c a c c 0
a 0 a 0 0 0
a 0 a 0 c c
a 0 a c 0 c
a 0 a c c 0
a 0 b 0 0 0
a 0 b 0 c c
a 0 b c 0 c
a 0 b c c 0
a c a 0 0 0
a c a 0 c c
a c a c 0 c
a c a c c 0
a c b 0 0 0
a c b 0 c c
a c b c 0 c
a c b c c 0
c 0 c 0 0 0
c 0 c 0 c c
c 0 c c 0 c
c 0 c c c 0
c 0 0 0 0 0
c 0 0 0 c c
c 0 0 c 0 c
c 0 0 c c 0
c c c 0 0 0
c c c 0 c c
c c c c 0 c
c c c c c 0
c c 0 0 0 0
c c 0 0 c c
c c 0 c 0 c
c c 0 c c 0
dmin: 1
Weight Enumerator: 1x0 + 3x1 + 10x2 + 14x3 + 21x4 + 15x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)4 (X_a)1 (X_b)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_b)2 (X_c)1 + (X_0)1 (X_b)2 (X_c)3 + (X_0)1 (X_b)2 (X_c)3 + (X_0)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)4 (X_a)1 (X_b)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_a)2 (X_c)1 + (X_0)1 (X_a)2 (X_c)3 + (X_0)1 (X_a)2 (X_c)3 + (X_0)1 (X_a)2 (X_c)3 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 a a 0
0 0 0 a a a
0 0 0 a a b
0 0 0 a a c
0 0 0 a b 0
0 0 0 a b a
0 0 0 a b b
0 0 0 a b c
0 0 0 a c 0
0 0 0 a c a
0 0 0 a c b
0 0 0 a c c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 b a 0
0 0 0 b a a
0 0 0 b a b
0 0 0 b a c
0 0 0 b b 0
0 0 0 b b a
0 0 0 b b b
0 0 0 b b c
0 0 0 b c 0
0 0 0 b c a
0 0 0 b c b
0 0 0 b c c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c
0 0 0 c a 0
0 0 0 c a a
0 0 0 c a b
0 0 0 c a c
0 0 0 c b 0
0 0 0 c b a
0 0 0 c b b
0 0 0 c b c
0 0 0 c c 0
0 0 0 c c a
0 0 0 c c b
0 0 0 c c c
0 a 0 0 0 0
0 a 0 0 0 a
0 a 0 0 0 b
0 a 0 0 0 c
0 a 0 0 a 0
0 a 0 0 a a
0 a 0 0 a b
0 a 0 0 a c
0 a 0 0 b 0
0 a 0 0 b a
0 a 0 0 b b
0 a 0 0 b c
0 a 0 0 c 0
0 a 0 0 c a
0 a 0 0 c b
0 a 0 0 c c
0 a 0 a 0 0
0 a 0 a 0 a
0 a 0 a 0 b
0 a 0 a 0 c
0 a 0 a a 0
0 a 0 a a a
0 a 0 a a b
0 a 0 a a c
0 a 0 a b 0
0 a 0 a b a
0 a 0 a b b
0 a 0 a b c
0 a 0 a c 0
0 a 0 a c a
0 a 0 a c b
0 a 0 a c c
0 a 0 b 0 0
0 a 0 b 0 a
0 a 0 b 0 b
0 a 0 b 0 c
0 a 0 b a 0
0 a 0 b a a
0 a 0 b a b
0 a 0 b a c
0 a 0 b b 0
0 a 0 b b a
0 a 0 b b b
0 a 0 b b c
0 a 0 b c 0
0 a 0 b c a
0 a 0 b c b
0 a 0 b c c
0 a 0 c 0 0
0 a 0 c 0 a
0 a 0 c 0 b
0 a 0 c 0 c
0 a 0 c a 0
0 a 0 c a a
0 a 0 c a b
0 a 0 c a c
0 a 0 c b 0
0 a 0 c b a
0 a 0 c b b
0 a 0 c b c
0 a 0 c c 0
0 a 0 c c a
0 a 0 c c b
0 a 0 c c c
0 b 0 0 0 0
0 b 0 0 0 a
0 b 0 0 0 b
0 b 0 0 0 c
0 b 0 0 a 0
0 b 0 0 a a
0 b 0 0 a b
0 b 0 0 a c
0 b 0 0 b 0
0 b 0 0 b a
0 b 0 0 b b
0 b 0 0 b c
0 b 0 0 c 0
0 b 0 0 c a
0 b 0 0 c b
0 b 0 0 c c
0 b 0 a 0 0
0 b 0 a 0 a
0 b 0 a 0 b
0 b 0 a 0 c
0 b 0 a a 0
0 b 0 a a a
0 b 0 a a b
0 b 0 a a c
0 b 0 a b 0
0 b 0 a b a
0 b 0 a b b
0 b 0 a b c
0 b 0 a c 0
0 b 0 a c a
0 b 0 a c b
0 b 0 a c c
0 b 0 b 0 0
0 b 0 b 0 a
0 b 0 b 0 b
0 b 0 b 0 c
0 b 0 b a 0
0 b 0 b a a
0 b 0 b a b
0 b 0 b a c
0 b 0 b b 0
0 b 0 b b a
0 b 0 b b b
0 b 0 b b c
0 b 0 b c 0
0 b 0 b c a
0 b 0 b c b
0 b 0 b c c
0 b 0 c 0 0
0 b 0 c 0 a
0 b 0 c 0 b
0 b 0 c 0 c
0 b 0 c a 0
0 b 0 c a a
0 b 0 c a b
0 b 0 c a c
0 b 0 c b 0
0 b 0 c b a
0 b 0 c b b
0 b 0 c b c
0 b 0 c c 0
0 b 0 c c a
0 b 0 c c b
0 b 0 c c c
0 c 0 0 0 0
0 c 0 0 0 a
0 c 0 0 0 b
0 c 0 0 0 c
0 c 0 0 a 0
0 c 0 0 a a
0 c 0 0 a b
0 c 0 0 a c
0 c 0 0 b 0
0 c 0 0 b a
0 c 0 0 b b
0 c 0 0 b c
0 c 0 0 c 0
0 c 0 0 c a
0 c 0 0 c b
0 c 0 0 c c
0 c 0 a 0 0
0 c 0 a 0 a
0 c 0 a 0 b
0 c 0 a 0 c
0 c 0 a a 0
0 c 0 a a a
0 c 0 a a b
0 c 0 a a c
0 c 0 a b 0
0 c 0 a b a
0 c 0 a b b
0 c 0 a b c
0 c 0 a c 0
0 c 0 a c a
0 c 0 a c b
0 c 0 a c c
0 c 0 b 0 0
0 c 0 b 0 a
0 c 0 b 0 b
0 c 0 b 0 c
0 c 0 b a 0
0 c 0 b a a
0 c 0 b a b
0 c 0 b a c
0 c 0 b b 0
0 c 0 b b a
0 c 0 b b b
0 c 0 b b c
0 c 0 b c 0
0 c 0 b c a
0 c 0 b c b
0 c 0 b c c
0 c 0 c 0 0
0 c 0 c 0 a
0 c 0 c 0 b
0 c 0 c 0 c
0 c 0 c a 0
0 c 0 c a a
0 c 0 c a b
0 c 0 c a c
0 c 0 c b 0
0 c 0 c b a
0 c 0 c b b
0 c 0 c b c
0 c 0 c c 0
0 c 0 c c a
0 c 0 c c b
0 c 0 c c c
Is it a nice code?: No
Generator Matrix-133
a 0 a 0 0 0
b 0 b 0 0 0
0 c 0 0 0 0
0 0 c 0 0 c
0 0 0 c 0 0
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 0
0 0 0 c c 0
0 0 c 0 0 c
0 0 c 0 c c
0 0 c c 0 c
0 0 c c c c
0 c 0 0 0 0
0 c 0 0 c 0
0 c 0 c 0 0
0 c 0 c c 0
0 c c 0 0 c
0 c c 0 c c
0 c c c 0 c
0 c c c c c
b 0 b 0 0 0
b 0 b 0 c 0
b 0 b c 0 0
b 0 b c c 0
b 0 a 0 0 c
b 0 a 0 c c
b 0 a c 0 c
b 0 a c c c
b c b 0 0 0
b c b 0 c 0
b c b c 0 0
b c b c c 0
b c a 0 0 c
b c a 0 c c
b c a c 0 c
b c a c c c
a 0 a 0 0 0
a 0 a 0 c 0
a 0 a c 0 0
a 0 a c c 0
a 0 b 0 0 c
a 0 b 0 c c
a 0 b c 0 c
a 0 b c c c
a c a 0 0 0
a c a 0 c 0
a c a c 0 0
a c a c c 0
a c b 0 0 c
a c b 0 c c
a c b c 0 c
a c b c c c
c 0 c 0 0 0
c 0 c 0 c 0
c 0 c c 0 0
c 0 c c c 0
c 0 0 0 0 c
c 0 0 0 c c
c 0 0 c 0 c
c 0 0 c c c
c c c 0 0 0
c c c 0 c 0
c c c c 0 0
c c c c c 0
c c 0 0 0 c
c c 0 0 c c
c c 0 c 0 c
c c 0 c c c
dmin: 1
Weight Enumerator: 1x0 + 3x1 + 8x2 + 18x3 + 21x4 + 11x5 + 2x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)4 (X_b)2 + (X_0)3 (X_b)2 (X_c)1 + (X_0)3 (X_b)2 (X_c)1 + (X_0)2 (X_b)2 (X_c)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_b)2 (X_c)1 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_a)1 (X_b)1 (X_c)4 + (X_0)4 (X_a)2 + (X_0)3 (X_a)2 (X_c)1 + (X_0)3 (X_a)2 (X_c)1 + (X_0)2 (X_a)2 (X_c)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_a)2 (X_c)1 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_a)1 (X_b)1 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 a a 0
0 0 0 a a a
0 0 0 a a b
0 0 0 a a c
0 0 0 a b 0
0 0 0 a b a
0 0 0 a b b
0 0 0 a b c
0 0 0 a c 0
0 0 0 a c a
0 0 0 a c b
0 0 0 a c c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 b a 0
0 0 0 b a a
0 0 0 b a b
0 0 0 b a c
0 0 0 b b 0
0 0 0 b b a
0 0 0 b b b
0 0 0 b b c
0 0 0 b c 0
0 0 0 b c a
0 0 0 b c b
0 0 0 b c c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c
0 0 0 c a 0
0 0 0 c a a
0 0 0 c a b
0 0 0 c a c
0 0 0 c b 0
0 0 0 c b a
0 0 0 c b b
0 0 0 c b c
0 0 0 c c 0
0 0 0 c c a
0 0 0 c c b
0 0 0 c c c
0 a 0 0 0 0
0 a 0 0 0 a
0 a 0 0 0 b
0 a 0 0 0 c
0 a 0 0 a 0
0 a 0 0 a a
0 a 0 0 a b
0 a 0 0 a c
0 a 0 0 b 0
0 a 0 0 b a
0 a 0 0 b b
0 a 0 0 b c
0 a 0 0 c 0
0 a 0 0 c a
0 a 0 0 c b
0 a 0 0 c c
0 a 0 a 0 0
0 a 0 a 0 a
0 a 0 a 0 b
0 a 0 a 0 c
0 a 0 a a 0
0 a 0 a a a
0 a 0 a a b
0 a 0 a a c
0 a 0 a b 0
0 a 0 a b a
0 a 0 a b b
0 a 0 a b c
0 a 0 a c 0
0 a 0 a c a
0 a 0 a c b
0 a 0 a c c
0 a 0 b 0 0
0 a 0 b 0 a
0 a 0 b 0 b
0 a 0 b 0 c
0 a 0 b a 0
0 a 0 b a a
0 a 0 b a b
0 a 0 b a c
0 a 0 b b 0
0 a 0 b b a
0 a 0 b b b
0 a 0 b b c
0 a 0 b c 0
0 a 0 b c a
0 a 0 b c b
0 a 0 b c c
0 a 0 c 0 0
0 a 0 c 0 a
0 a 0 c 0 b
0 a 0 c 0 c
0 a 0 c a 0
0 a 0 c a a
0 a 0 c a b
0 a 0 c a c
0 a 0 c b 0
0 a 0 c b a
0 a 0 c b b
0 a 0 c b c
0 a 0 c c 0
0 a 0 c c a
0 a 0 c c b
0 a 0 c c c
0 b 0 0 0 0
0 b 0 0 0 a
0 b 0 0 0 b
0 b 0 0 0 c
0 b 0 0 a 0
0 b 0 0 a a
0 b 0 0 a b
0 b 0 0 a c
0 b 0 0 b 0
0 b 0 0 b a
0 b 0 0 b b
0 b 0 0 b c
0 b 0 0 c 0
0 b 0 0 c a
0 b 0 0 c b
0 b 0 0 c c
0 b 0 a 0 0
0 b 0 a 0 a
0 b 0 a 0 b
0 b 0 a 0 c
0 b 0 a a 0
0 b 0 a a a
0 b 0 a a b
0 b 0 a a c
0 b 0 a b 0
0 b 0 a b a
0 b 0 a b b
0 b 0 a b c
0 b 0 a c 0
0 b 0 a c a
0 b 0 a c b
0 b 0 a c c
0 b 0 b 0 0
0 b 0 b 0 a
0 b 0 b 0 b
0 b 0 b 0 c
0 b 0 b a 0
0 b 0 b a a
0 b 0 b a b
0 b 0 b a c
0 b 0 b b 0
0 b 0 b b a
0 b 0 b b b
0 b 0 b b c
0 b 0 b c 0
0 b 0 b c a
0 b 0 b c b
0 b 0 b c c
0 b 0 c 0 0
0 b 0 c 0 a
0 b 0 c 0 b
0 b 0 c 0 c
0 b 0 c a 0
0 b 0 c a a
0 b 0 c a b
0 b 0 c a c
0 b 0 c b 0
0 b 0 c b a
0 b 0 c b b
0 b 0 c b c
0 b 0 c c 0
0 b 0 c c a
0 b 0 c c b
0 b 0 c c c
0 c 0 0 0 0
0 c 0 0 0 a
0 c 0 0 0 b
0 c 0 0 0 c
0 c 0 0 a 0
0 c 0 0 a a
0 c 0 0 a b
0 c 0 0 a c
0 c 0 0 b 0
0 c 0 0 b a
0 c 0 0 b b
0 c 0 0 b c
0 c 0 0 c 0
0 c 0 0 c a
0 c 0 0 c b
0 c 0 0 c c
0 c 0 a 0 0
0 c 0 a 0 a
0 c 0 a 0 b
0 c 0 a 0 c
0 c 0 a a 0
0 c 0 a a a
0 c 0 a a b
0 c 0 a a c
0 c 0 a b 0
0 c 0 a b a
0 c 0 a b b
0 c 0 a b c
0 c 0 a c 0
0 c 0 a c a
0 c 0 a c b
0 c 0 a c c
0 c 0 b 0 0
0 c 0 b 0 a
0 c 0 b 0 b
0 c 0 b 0 c
0 c 0 b a 0
0 c 0 b a a
0 c 0 b a b
0 c 0 b a c
0 c 0 b b 0
0 c 0 b b a
0 c 0 b b b
0 c 0 b b c
0 c 0 b c 0
0 c 0 b c a
0 c 0 b c b
0 c 0 b c c
0 c 0 c 0 0
0 c 0 c 0 a
0 c 0 c 0 b
0 c 0 c 0 c
0 c 0 c a 0
0 c 0 c a a
0 c 0 c a b
0 c 0 c a c
0 c 0 c b 0
0 c 0 c b a
0 c 0 c b b
0 c 0 c b c
0 c 0 c c 0
0 c 0 c c a
0 c 0 c c b
0 c 0 c c c
Is it a nice code?: No
Generator Matrix-134
a 0 a 0 0 0
b 0 b 0 0 0
0 c 0 0 0 0
0 0 c 0 0 c
0 0 0 c 0 0
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 0
0 0 0 c c c
0 0 c 0 0 c
0 0 c 0 c 0
0 0 c c 0 c
0 0 c c c 0
0 c 0 0 0 0
0 c 0 0 c c
0 c 0 c 0 0
0 c 0 c c c
0 c c 0 0 c
0 c c 0 c 0
0 c c c 0 c
0 c c c c 0
b 0 b 0 0 0
b 0 b 0 c c
b 0 b c 0 0
b 0 b c c c
b 0 a 0 0 c
b 0 a 0 c 0
b 0 a c 0 c
b 0 a c c 0
b c b 0 0 0
b c b 0 c c
b c b c 0 0
b c b c c c
b c a 0 0 c
b c a 0 c 0
b c a c 0 c
b c a c c 0
a 0 a 0 0 0
a 0 a 0 c c
a 0 a c 0 0
a 0 a c c c
a 0 b 0 0 c
a 0 b 0 c 0
a 0 b c 0 c
a 0 b c c 0
a c a 0 0 0
a c a 0 c c
a c a c 0 0
a c a c c c
a c b 0 0 c
a c b 0 c 0
a c b c 0 c
a c b c c 0
c 0 c 0 0 0
c 0 c 0 c c
c 0 c c 0 0
c 0 c c c c
c 0 0 0 0 c
c 0 0 0 c 0
c 0 0 c 0 c
c 0 0 c c 0
c c c 0 0 0
c c c 0 c c
c c c c 0 0
c c c c c c
c c 0 0 0 c
c c 0 0 c 0
c c 0 c 0 c
c c 0 c c 0
dmin: 1
Weight Enumerator: 1x0 + 2x1 + 9x2 + 20x3 + 19x4 + 10x5 + 3x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)3 (X_b)2 (X_c)1 + (X_0)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_b)2 (X_c)1 + (X_0)1 (X_b)2 (X_c)3 + (X_0)2 (X_b)2 (X_c)2 + (X_b)2 (X_c)4 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)3 (X_a)2 (X_c)1 + (X_0)1 (X_a)2 (X_c)3 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_a)2 (X_c)1 + (X_0)1 (X_a)2 (X_c)3 + (X_0)2 (X_a)2 (X_c)2 + (X_a)2 (X_c)4 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_c)6 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 a a 0
0 0 0 a a a
0 0 0 a a b
0 0 0 a a c
0 0 0 a b 0
0 0 0 a b a
0 0 0 a b b
0 0 0 a b c
0 0 0 a c 0
0 0 0 a c a
0 0 0 a c b
0 0 0 a c c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 b a 0
0 0 0 b a a
0 0 0 b a b
0 0 0 b a c
0 0 0 b b 0
0 0 0 b b a
0 0 0 b b b
0 0 0 b b c
0 0 0 b c 0
0 0 0 b c a
0 0 0 b c b
0 0 0 b c c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c
0 0 0 c a 0
0 0 0 c a a
0 0 0 c a b
0 0 0 c a c
0 0 0 c b 0
0 0 0 c b a
0 0 0 c b b
0 0 0 c b c
0 0 0 c c 0
0 0 0 c c a
0 0 0 c c b
0 0 0 c c c
0 a 0 0 0 0
0 a 0 0 0 a
0 a 0 0 0 b
0 a 0 0 0 c
0 a 0 0 a 0
0 a 0 0 a a
0 a 0 0 a b
0 a 0 0 a c
0 a 0 0 b 0
0 a 0 0 b a
0 a 0 0 b b
0 a 0 0 b c
0 a 0 0 c 0
0 a 0 0 c a
0 a 0 0 c b
0 a 0 0 c c
0 a 0 a 0 0
0 a 0 a 0 a
0 a 0 a 0 b
0 a 0 a 0 c
0 a 0 a a 0
0 a 0 a a a
0 a 0 a a b
0 a 0 a a c
0 a 0 a b 0
0 a 0 a b a
0 a 0 a b b
0 a 0 a b c
0 a 0 a c 0
0 a 0 a c a
0 a 0 a c b
0 a 0 a c c
0 a 0 b 0 0
0 a 0 b 0 a
0 a 0 b 0 b
0 a 0 b 0 c
0 a 0 b a 0
0 a 0 b a a
0 a 0 b a b
0 a 0 b a c
0 a 0 b b 0
0 a 0 b b a
0 a 0 b b b
0 a 0 b b c
0 a 0 b c 0
0 a 0 b c a
0 a 0 b c b
0 a 0 b c c
0 a 0 c 0 0
0 a 0 c 0 a
0 a 0 c 0 b
0 a 0 c 0 c
0 a 0 c a 0
0 a 0 c a a
0 a 0 c a b
0 a 0 c a c
0 a 0 c b 0
0 a 0 c b a
0 a 0 c b b
0 a 0 c b c
0 a 0 c c 0
0 a 0 c c a
0 a 0 c c b
0 a 0 c c c
0 b 0 0 0 0
0 b 0 0 0 a
0 b 0 0 0 b
0 b 0 0 0 c
0 b 0 0 a 0
0 b 0 0 a a
0 b 0 0 a b
0 b 0 0 a c
0 b 0 0 b 0
0 b 0 0 b a
0 b 0 0 b b
0 b 0 0 b c
0 b 0 0 c 0
0 b 0 0 c a
0 b 0 0 c b
0 b 0 0 c c
0 b 0 a 0 0
0 b 0 a 0 a
0 b 0 a 0 b
0 b 0 a 0 c
0 b 0 a a 0
0 b 0 a a a
0 b 0 a a b
0 b 0 a a c
0 b 0 a b 0
0 b 0 a b a
0 b 0 a b b
0 b 0 a b c
0 b 0 a c 0
0 b 0 a c a
0 b 0 a c b
0 b 0 a c c
0 b 0 b 0 0
0 b 0 b 0 a
0 b 0 b 0 b
0 b 0 b 0 c
0 b 0 b a 0
0 b 0 b a a
0 b 0 b a b
0 b 0 b a c
0 b 0 b b 0
0 b 0 b b a
0 b 0 b b b
0 b 0 b b c
0 b 0 b c 0
0 b 0 b c a
0 b 0 b c b
0 b 0 b c c
0 b 0 c 0 0
0 b 0 c 0 a
0 b 0 c 0 b
0 b 0 c 0 c
0 b 0 c a 0
0 b 0 c a a
0 b 0 c a b
0 b 0 c a c
0 b 0 c b 0
0 b 0 c b a
0 b 0 c b b
0 b 0 c b c
0 b 0 c c 0
0 b 0 c c a
0 b 0 c c b
0 b 0 c c c
0 c 0 0 0 0
0 c 0 0 0 a
0 c 0 0 0 b
0 c 0 0 0 c
0 c 0 0 a 0
0 c 0 0 a a
0 c 0 0 a b
0 c 0 0 a c
0 c 0 0 b 0
0 c 0 0 b a
0 c 0 0 b b
0 c 0 0 b c
0 c 0 0 c 0
0 c 0 0 c a
0 c 0 0 c b
0 c 0 0 c c
0 c 0 a 0 0
0 c 0 a 0 a
0 c 0 a 0 b
0 c 0 a 0 c
0 c 0 a a 0
0 c 0 a a a
0 c 0 a a b
0 c 0 a a c
0 c 0 a b 0
0 c 0 a b a
0 c 0 a b b
0 c 0 a b c
0 c 0 a c 0
0 c 0 a c a
0 c 0 a c b
0 c 0 a c c
0 c 0 b 0 0
0 c 0 b 0 a
0 c 0 b 0 b
0 c 0 b 0 c
0 c 0 b a 0
0 c 0 b a a
0 c 0 b a b
0 c 0 b a c
0 c 0 b b 0
0 c 0 b b a
0 c 0 b b b
0 c 0 b b c
0 c 0 b c 0
0 c 0 b c a
0 c 0 b c b
0 c 0 b c c
0 c 0 c 0 0
0 c 0 c 0 a
0 c 0 c 0 b
0 c 0 c 0 c
0 c 0 c a 0
0 c 0 c a a
0 c 0 c a b
0 c 0 c a c
0 c 0 c b 0
0 c 0 c b a
0 c 0 c b b
0 c 0 c b c
0 c 0 c c 0
0 c 0 c c a
0 c 0 c c b
0 c 0 c c c
Is it a nice code?: No
Generator Matrix-135
a 0 a 0 0 0
b 0 b 0 0 0
0 c 0 0 0 0
0 0 c 0 0 c
0 0 0 c 0 c
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 c
0 0 0 c c c
0 0 c 0 0 c
0 0 c 0 c c
0 0 c c 0 0
0 0 c c c 0
0 c 0 0 0 0
0 c 0 0 c 0
0 c 0 c 0 c
0 c 0 c c c
0 c c 0 0 c
0 c c 0 c c
0 c c c 0 0
0 c c c c 0
b 0 b 0 0 0
b 0 b 0 c 0
b 0 b c 0 c
b 0 b c c c
b 0 a 0 0 c
b 0 a 0 c c
b 0 a c 0 0
b 0 a c c 0
b c b 0 0 0
b c b 0 c 0
b c b c 0 c
b c b c c c
b c a 0 0 c
b c a 0 c c
b c a c 0 0
b c a c c 0
a 0 a 0 0 0
a 0 a 0 c 0
a 0 a c 0 c
a 0 a c c c
a 0 b 0 0 c
a 0 b 0 c c
a 0 b c 0 0
a 0 b c c 0
a c a 0 0 0
a c a 0 c 0
a c a c 0 c
a c a c c c
a c b 0 0 c
a c b 0 c c
a c b c 0 0
a c b c c 0
c 0 c 0 0 0
c 0 c 0 c 0
c 0 c c 0 c
c 0 c c c c
c 0 0 0 0 c
c 0 0 0 c c
c 0 0 c 0 0
c 0 0 c c 0
c c c 0 0 0
c c c 0 c 0
c c c c 0 c
c c c c c c
c c 0 0 0 c
c c 0 0 c c
c c 0 c 0 0
c c 0 c c 0
dmin: 1
Weight Enumerator: 1x0 + 2x1 + 9x2 + 20x3 + 19x4 + 10x5 + 3x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_b)2 + (X_0)3 (X_b)2 (X_c)1 + (X_0)2 (X_b)2 (X_c)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_b)2 (X_c)1 + (X_0)2 (X_b)2 (X_c)2 + (X_0)1 (X_b)2 (X_c)3 + (X_b)2 (X_c)4 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_a)2 + (X_0)3 (X_a)2 (X_c)1 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_a)2 (X_c)1 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)2 (X_c)3 + (X_a)2 (X_c)4 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_c)6 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 a a 0
0 0 0 a a a
0 0 0 a a b
0 0 0 a a c
0 0 0 a b 0
0 0 0 a b a
0 0 0 a b b
0 0 0 a b c
0 0 0 a c 0
0 0 0 a c a
0 0 0 a c b
0 0 0 a c c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 b a 0
0 0 0 b a a
0 0 0 b a b
0 0 0 b a c
0 0 0 b b 0
0 0 0 b b a
0 0 0 b b b
0 0 0 b b c
0 0 0 b c 0
0 0 0 b c a
0 0 0 b c b
0 0 0 b c c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c
0 0 0 c a 0
0 0 0 c a a
0 0 0 c a b
0 0 0 c a c
0 0 0 c b 0
0 0 0 c b a
0 0 0 c b b
0 0 0 c b c
0 0 0 c c 0
0 0 0 c c a
0 0 0 c c b
0 0 0 c c c
0 a 0 0 0 0
0 a 0 0 0 a
0 a 0 0 0 b
0 a 0 0 0 c
0 a 0 0 a 0
0 a 0 0 a a
0 a 0 0 a b
0 a 0 0 a c
0 a 0 0 b 0
0 a 0 0 b a
0 a 0 0 b b
0 a 0 0 b c
0 a 0 0 c 0
0 a 0 0 c a
0 a 0 0 c b
0 a 0 0 c c
0 a 0 a 0 0
0 a 0 a 0 a
0 a 0 a 0 b
0 a 0 a 0 c
0 a 0 a a 0
0 a 0 a a a
0 a 0 a a b
0 a 0 a a c
0 a 0 a b 0
0 a 0 a b a
0 a 0 a b b
0 a 0 a b c
0 a 0 a c 0
0 a 0 a c a
0 a 0 a c b
0 a 0 a c c
0 a 0 b 0 0
0 a 0 b 0 a
0 a 0 b 0 b
0 a 0 b 0 c
0 a 0 b a 0
0 a 0 b a a
0 a 0 b a b
0 a 0 b a c
0 a 0 b b 0
0 a 0 b b a
0 a 0 b b b
0 a 0 b b c
0 a 0 b c 0
0 a 0 b c a
0 a 0 b c b
0 a 0 b c c
0 a 0 c 0 0
0 a 0 c 0 a
0 a 0 c 0 b
0 a 0 c 0 c
0 a 0 c a 0
0 a 0 c a a
0 a 0 c a b
0 a 0 c a c
0 a 0 c b 0
0 a 0 c b a
0 a 0 c b b
0 a 0 c b c
0 a 0 c c 0
0 a 0 c c a
0 a 0 c c b
0 a 0 c c c
0 b 0 0 0 0
0 b 0 0 0 a
0 b 0 0 0 b
0 b 0 0 0 c
0 b 0 0 a 0
0 b 0 0 a a
0 b 0 0 a b
0 b 0 0 a c
0 b 0 0 b 0
0 b 0 0 b a
0 b 0 0 b b
0 b 0 0 b c
0 b 0 0 c 0
0 b 0 0 c a
0 b 0 0 c b
0 b 0 0 c c
0 b 0 a 0 0
0 b 0 a 0 a
0 b 0 a 0 b
0 b 0 a 0 c
0 b 0 a a 0
0 b 0 a a a
0 b 0 a a b
0 b 0 a a c
0 b 0 a b 0
0 b 0 a b a
0 b 0 a b b
0 b 0 a b c
0 b 0 a c 0
0 b 0 a c a
0 b 0 a c b
0 b 0 a c c
0 b 0 b 0 0
0 b 0 b 0 a
0 b 0 b 0 b
0 b 0 b 0 c
0 b 0 b a 0
0 b 0 b a a
0 b 0 b a b
0 b 0 b a c
0 b 0 b b 0
0 b 0 b b a
0 b 0 b b b
0 b 0 b b c
0 b 0 b c 0
0 b 0 b c a
0 b 0 b c b
0 b 0 b c c
0 b 0 c 0 0
0 b 0 c 0 a
0 b 0 c 0 b
0 b 0 c 0 c
0 b 0 c a 0
0 b 0 c a a
0 b 0 c a b
0 b 0 c a c
0 b 0 c b 0
0 b 0 c b a
0 b 0 c b b
0 b 0 c b c
0 b 0 c c 0
0 b 0 c c a
0 b 0 c c b
0 b 0 c c c
0 c 0 0 0 0
0 c 0 0 0 a
0 c 0 0 0 b
0 c 0 0 0 c
0 c 0 0 a 0
0 c 0 0 a a
0 c 0 0 a b
0 c 0 0 a c
0 c 0 0 b 0
0 c 0 0 b a
0 c 0 0 b b
0 c 0 0 b c
0 c 0 0 c 0
0 c 0 0 c a
0 c 0 0 c b
0 c 0 0 c c
0 c 0 a 0 0
0 c 0 a 0 a
0 c 0 a 0 b
0 c 0 a 0 c
0 c 0 a a 0
0 c 0 a a a
0 c 0 a a b
0 c 0 a a c
0 c 0 a b 0
0 c 0 a b a
0 c 0 a b b
0 c 0 a b c
0 c 0 a c 0
0 c 0 a c a
0 c 0 a c b
0 c 0 a c c
0 c 0 b 0 0
0 c 0 b 0 a
0 c 0 b 0 b
0 c 0 b 0 c
0 c 0 b a 0
0 c 0 b a a
0 c 0 b a b
0 c 0 b a c
0 c 0 b b 0
0 c 0 b b a
0 c 0 b b b
0 c 0 b b c
0 c 0 b c 0
0 c 0 b c a
0 c 0 b c b
0 c 0 b c c
0 c 0 c 0 0
0 c 0 c 0 a
0 c 0 c 0 b
0 c 0 c 0 c
0 c 0 c a 0
0 c 0 c a a
0 c 0 c a b
0 c 0 c a c
0 c 0 c b 0
0 c 0 c b a
0 c 0 c b b
0 c 0 c b c
0 c 0 c c 0
0 c 0 c c a
0 c 0 c c b
0 c 0 c c c
Is it a nice code?: No
Generator Matrix-136
a 0 a 0 0 0
b 0 b 0 0 0
0 c 0 0 0 0
0 0 c 0 0 c
0 0 0 c 0 c
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 c
0 0 0 c c 0
0 0 c 0 0 c
0 0 c 0 c 0
0 0 c c 0 0
0 0 c c c c
0 c 0 0 0 0
0 c 0 0 c c
0 c 0 c 0 c
0 c 0 c c 0
0 c c 0 0 c
0 c c 0 c 0
0 c c c 0 0
0 c c c c c
b 0 b 0 0 0
b 0 b 0 c c
b 0 b c 0 c
b 0 b c c 0
b 0 a 0 0 c
b 0 a 0 c 0
b 0 a c 0 0
b 0 a c c c
b c b 0 0 0
b c b 0 c c
b c b c 0 c
b c b c c 0
b c a 0 0 c
b c a 0 c 0
b c a c 0 0
b c a c c c
a 0 a 0 0 0
a 0 a 0 c c
a 0 a c 0 c
a 0 a c c 0
a 0 b 0 0 c
a 0 b 0 c 0
a 0 b c 0 0
a 0 b c c c
a c a 0 0 0
a c a 0 c c
a c a c 0 c
a c a c c 0
a c b 0 0 c
a c b 0 c 0
a c b c 0 0
a c b c c c
c 0 c 0 0 0
c 0 c 0 c c
c 0 c c 0 c
c 0 c c c 0
c 0 0 0 0 c
c 0 0 0 c 0
c 0 0 c 0 0
c 0 0 c c c
c c c 0 0 0
c c c 0 c c
c c c c 0 c
c c c c c 0
c c 0 0 0 c
c c 0 0 c 0
c c 0 c 0 0
c c 0 c c c
dmin: 1
Weight Enumerator: 1x0 + 1x1 + 12x2 + 18x3 + 17x4 + 13x5 + 2x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_b)2 (X_c)1 + (X_0)1 (X_b)2 (X_c)3 + (X_0)1 (X_b)2 (X_c)3 + (X_0)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_a)1 (X_b)1 (X_c)4 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_a)2 (X_c)1 + (X_0)1 (X_a)2 (X_c)3 + (X_0)1 (X_a)2 (X_c)3 + (X_0)1 (X_a)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_a)1 (X_b)1 (X_c)4 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 a a 0
0 0 0 a a a
0 0 0 a a b
0 0 0 a a c
0 0 0 a b 0
0 0 0 a b a
0 0 0 a b b
0 0 0 a b c
0 0 0 a c 0
0 0 0 a c a
0 0 0 a c b
0 0 0 a c c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 b a 0
0 0 0 b a a
0 0 0 b a b
0 0 0 b a c
0 0 0 b b 0
0 0 0 b b a
0 0 0 b b b
0 0 0 b b c
0 0 0 b c 0
0 0 0 b c a
0 0 0 b c b
0 0 0 b c c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c
0 0 0 c a 0
0 0 0 c a a
0 0 0 c a b
0 0 0 c a c
0 0 0 c b 0
0 0 0 c b a
0 0 0 c b b
0 0 0 c b c
0 0 0 c c 0
0 0 0 c c a
0 0 0 c c b
0 0 0 c c c
0 a 0 0 0 0
0 a 0 0 0 a
0 a 0 0 0 b
0 a 0 0 0 c
0 a 0 0 a 0
0 a 0 0 a a
0 a 0 0 a b
0 a 0 0 a c
0 a 0 0 b 0
0 a 0 0 b a
0 a 0 0 b b
0 a 0 0 b c
0 a 0 0 c 0
0 a 0 0 c a
0 a 0 0 c b
0 a 0 0 c c
0 a 0 a 0 0
0 a 0 a 0 a
0 a 0 a 0 b
0 a 0 a 0 c
0 a 0 a a 0
0 a 0 a a a
0 a 0 a a b
0 a 0 a a c
0 a 0 a b 0
0 a 0 a b a
0 a 0 a b b
0 a 0 a b c
0 a 0 a c 0
0 a 0 a c a
0 a 0 a c b
0 a 0 a c c
0 a 0 b 0 0
0 a 0 b 0 a
0 a 0 b 0 b
0 a 0 b 0 c
0 a 0 b a 0
0 a 0 b a a
0 a 0 b a b
0 a 0 b a c
0 a 0 b b 0
0 a 0 b b a
0 a 0 b b b
0 a 0 b b c
0 a 0 b c 0
0 a 0 b c a
0 a 0 b c b
0 a 0 b c c
0 a 0 c 0 0
0 a 0 c 0 a
0 a 0 c 0 b
0 a 0 c 0 c
0 a 0 c a 0
0 a 0 c a a
0 a 0 c a b
0 a 0 c a c
0 a 0 c b 0
0 a 0 c b a
0 a 0 c b b
0 a 0 c b c
0 a 0 c c 0
0 a 0 c c a
0 a 0 c c b
0 a 0 c c c
0 b 0 0 0 0
0 b 0 0 0 a
0 b 0 0 0 b
0 b 0 0 0 c
0 b 0 0 a 0
0 b 0 0 a a
0 b 0 0 a b
0 b 0 0 a c
0 b 0 0 b 0
0 b 0 0 b a
0 b 0 0 b b
0 b 0 0 b c
0 b 0 0 c 0
0 b 0 0 c a
0 b 0 0 c b
0 b 0 0 c c
0 b 0 a 0 0
0 b 0 a 0 a
0 b 0 a 0 b
0 b 0 a 0 c
0 b 0 a a 0
0 b 0 a a a
0 b 0 a a b
0 b 0 a a c
0 b 0 a b 0
0 b 0 a b a
0 b 0 a b b
0 b 0 a b c
0 b 0 a c 0
0 b 0 a c a
0 b 0 a c b
0 b 0 a c c
0 b 0 b 0 0
0 b 0 b 0 a
0 b 0 b 0 b
0 b 0 b 0 c
0 b 0 b a 0
0 b 0 b a a
0 b 0 b a b
0 b 0 b a c
0 b 0 b b 0
0 b 0 b b a
0 b 0 b b b
0 b 0 b b c
0 b 0 b c 0
0 b 0 b c a
0 b 0 b c b
0 b 0 b c c
0 b 0 c 0 0
0 b 0 c 0 a
0 b 0 c 0 b
0 b 0 c 0 c
0 b 0 c a 0
0 b 0 c a a
0 b 0 c a b
0 b 0 c a c
0 b 0 c b 0
0 b 0 c b a
0 b 0 c b b
0 b 0 c b c
0 b 0 c c 0
0 b 0 c c a
0 b 0 c c b
0 b 0 c c c
0 c 0 0 0 0
0 c 0 0 0 a
0 c 0 0 0 b
0 c 0 0 0 c
0 c 0 0 a 0
0 c 0 0 a a
0 c 0 0 a b
0 c 0 0 a c
0 c 0 0 b 0
0 c 0 0 b a
0 c 0 0 b b
0 c 0 0 b c
0 c 0 0 c 0
0 c 0 0 c a
0 c 0 0 c b
0 c 0 0 c c
0 c 0 a 0 0
0 c 0 a 0 a
0 c 0 a 0 b
0 c 0 a 0 c
0 c 0 a a 0
0 c 0 a a a
0 c 0 a a b
0 c 0 a a c
0 c 0 a b 0
0 c 0 a b a
0 c 0 a b b
0 c 0 a b c
0 c 0 a c 0
0 c 0 a c a
0 c 0 a c b
0 c 0 a c c
0 c 0 b 0 0
0 c 0 b 0 a
0 c 0 b 0 b
0 c 0 b 0 c
0 c 0 b a 0
0 c 0 b a a
0 c 0 b a b
0 c 0 b a c
0 c 0 b b 0
0 c 0 b b a
0 c 0 b b b
0 c 0 b b c
0 c 0 b c 0
0 c 0 b c a
0 c 0 b c b
0 c 0 b c c
0 c 0 c 0 0
0 c 0 c 0 a
0 c 0 c 0 b
0 c 0 c 0 c
0 c 0 c a 0
0 c 0 c a a
0 c 0 c a b
0 c 0 c a c
0 c 0 c b 0
0 c 0 c b a
0 c 0 c b b
0 c 0 c b c
0 c 0 c c 0
0 c 0 c c a
0 c 0 c c b
0 c 0 c c c
Is it a nice code?: No
Generator Matrix-137
a 0 a 0 0 0
b 0 b 0 0 0
0 c 0 0 0 c
0 0 c 0 0 0
0 0 0 c 0 0
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 0
0 0 0 c c 0
0 0 c 0 0 0
0 0 c 0 c 0
0 0 c c 0 0
0 0 c c c 0
0 c 0 0 0 c
0 c 0 0 c c
0 c 0 c 0 c
0 c 0 c c c
0 c c 0 0 c
0 c c 0 c c
0 c c c 0 c
0 c c c c c
b 0 b 0 0 0
b 0 b 0 c 0
b 0 b c 0 0
b 0 b c c 0
b 0 a 0 0 0
b 0 a 0 c 0
b 0 a c 0 0
b 0 a c c 0
b c b 0 0 c
b c b 0 c c
b c b c 0 c
b c b c c c
b c a 0 0 c
b c a 0 c c
b c a c 0 c
b c a c c c
a 0 a 0 0 0
a 0 a 0 c 0
a 0 a c 0 0
a 0 a c c 0
a 0 b 0 0 0
a 0 b 0 c 0
a 0 b c 0 0
a 0 b c c 0
a c a 0 0 c
a c a 0 c c
a c a c 0 c
a c a c c c
a c b 0 0 c
a c b 0 c c
a c b c 0 c
a c b c c c
c 0 c 0 0 0
c 0 c 0 c 0
c 0 c c 0 0
c 0 c c c 0
c 0 0 0 0 0
c 0 0 0 c 0
c 0 0 c 0 0
c 0 0 c c 0
c c c 0 0 c
c c c 0 c c
c c c c 0 c
c c c c c c
c c 0 0 0 c
c c 0 0 c c
c c 0 c 0 c
c c 0 c c c
dmin: 1
Weight Enumerator: 1x0 + 4x1 + 11x2 + 16x3 + 15x4 + 12x5 + 5x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)4 (X_b)2 + (X_0)3 (X_b)2 (X_c)1 + (X_0)3 (X_b)2 (X_c)1 + (X_0)2 (X_b)2 (X_c)2 + (X_0)4 (X_a)1 (X_b)1 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)1 (X_b)2 (X_c)3 + (X_b)2 (X_c)4 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_a)1 (X_b)1 (X_c)4 + (X_0)4 (X_a)2 + (X_0)3 (X_a)2 (X_c)1 + (X_0)3 (X_a)2 (X_c)1 + (X_0)2 (X_a)2 (X_c)2 + (X_0)4 (X_a)1 (X_b)1 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)1 (X_a)2 (X_c)3 + (X_a)2 (X_c)4 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_a)1 (X_b)1 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5 + (X_c)6 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 a a 0
0 0 0 a a a
0 0 0 a a b
0 0 0 a a c
0 0 0 a b 0
0 0 0 a b a
0 0 0 a b b
0 0 0 a b c
0 0 0 a c 0
0 0 0 a c a
0 0 0 a c b
0 0 0 a c c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 b a 0
0 0 0 b a a
0 0 0 b a b
0 0 0 b a c
0 0 0 b b 0
0 0 0 b b a
0 0 0 b b b
0 0 0 b b c
0 0 0 b c 0
0 0 0 b c a
0 0 0 b c b
0 0 0 b c c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c
0 0 0 c a 0
0 0 0 c a a
0 0 0 c a b
0 0 0 c a c
0 0 0 c b 0
0 0 0 c b a
0 0 0 c b b
0 0 0 c b c
0 0 0 c c 0
0 0 0 c c a
0 0 0 c c b
0 0 0 c c c
0 a 0 0 0 0
0 a 0 0 0 a
0 a 0 0 0 b
0 a 0 0 0 c
0 a 0 0 a 0
0 a 0 0 a a
0 a 0 0 a b
0 a 0 0 a c
0 a 0 0 b 0
0 a 0 0 b a
0 a 0 0 b b
0 a 0 0 b c
0 a 0 0 c 0
0 a 0 0 c a
0 a 0 0 c b
0 a 0 0 c c
0 a 0 a 0 0
0 a 0 a 0 a
0 a 0 a 0 b
0 a 0 a 0 c
0 a 0 a a 0
0 a 0 a a a
0 a 0 a a b
0 a 0 a a c
0 a 0 a b 0
0 a 0 a b a
0 a 0 a b b
0 a 0 a b c
0 a 0 a c 0
0 a 0 a c a
0 a 0 a c b
0 a 0 a c c
0 a 0 b 0 0
0 a 0 b 0 a
0 a 0 b 0 b
0 a 0 b 0 c
0 a 0 b a 0
0 a 0 b a a
0 a 0 b a b
0 a 0 b a c
0 a 0 b b 0
0 a 0 b b a
0 a 0 b b b
0 a 0 b b c
0 a 0 b c 0
0 a 0 b c a
0 a 0 b c b
0 a 0 b c c
0 a 0 c 0 0
0 a 0 c 0 a
0 a 0 c 0 b
0 a 0 c 0 c
0 a 0 c a 0
0 a 0 c a a
0 a 0 c a b
0 a 0 c a c
0 a 0 c b 0
0 a 0 c b a
0 a 0 c b b
0 a 0 c b c
0 a 0 c c 0
0 a 0 c c a
0 a 0 c c b
0 a 0 c c c
0 b 0 0 0 0
0 b 0 0 0 a
0 b 0 0 0 b
0 b 0 0 0 c
0 b 0 0 a 0
0 b 0 0 a a
0 b 0 0 a b
0 b 0 0 a c
0 b 0 0 b 0
0 b 0 0 b a
0 b 0 0 b b
0 b 0 0 b c
0 b 0 0 c 0
0 b 0 0 c a
0 b 0 0 c b
0 b 0 0 c c
0 b 0 a 0 0
0 b 0 a 0 a
0 b 0 a 0 b
0 b 0 a 0 c
0 b 0 a a 0
0 b 0 a a a
0 b 0 a a b
0 b 0 a a c
0 b 0 a b 0
0 b 0 a b a
0 b 0 a b b
0 b 0 a b c
0 b 0 a c 0
0 b 0 a c a
0 b 0 a c b
0 b 0 a c c
0 b 0 b 0 0
0 b 0 b 0 a
0 b 0 b 0 b
0 b 0 b 0 c
0 b 0 b a 0
0 b 0 b a a
0 b 0 b a b
0 b 0 b a c
0 b 0 b b 0
0 b 0 b b a
0 b 0 b b b
0 b 0 b b c
0 b 0 b c 0
0 b 0 b c a
0 b 0 b c b
0 b 0 b c c
0 b 0 c 0 0
0 b 0 c 0 a
0 b 0 c 0 b
0 b 0 c 0 c
0 b 0 c a 0
0 b 0 c a a
0 b 0 c a b
0 b 0 c a c
0 b 0 c b 0
0 b 0 c b a
0 b 0 c b b
0 b 0 c b c
0 b 0 c c 0
0 b 0 c c a
0 b 0 c c b
0 b 0 c c c
0 c 0 0 0 0
0 c 0 0 0 a
0 c 0 0 0 b
0 c 0 0 0 c
0 c 0 0 a 0
0 c 0 0 a a
0 c 0 0 a b
0 c 0 0 a c
0 c 0 0 b 0
0 c 0 0 b a
0 c 0 0 b b
0 c 0 0 b c
0 c 0 0 c 0
0 c 0 0 c a
0 c 0 0 c b
0 c 0 0 c c
0 c 0 a 0 0
0 c 0 a 0 a
0 c 0 a 0 b
0 c 0 a 0 c
0 c 0 a a 0
0 c 0 a a a
0 c 0 a a b
0 c 0 a a c
0 c 0 a b 0
0 c 0 a b a
0 c 0 a b b
0 c 0 a b c
0 c 0 a c 0
0 c 0 a c a
0 c 0 a c b
0 c 0 a c c
0 c 0 b 0 0
0 c 0 b 0 a
0 c 0 b 0 b
0 c 0 b 0 c
0 c 0 b a 0
0 c 0 b a a
0 c 0 b a b
0 c 0 b a c
0 c 0 b b 0
0 c 0 b b a
0 c 0 b b b
0 c 0 b b c
0 c 0 b c 0
0 c 0 b c a
0 c 0 b c b
0 c 0 b c c
0 c 0 c 0 0
0 c 0 c 0 a
0 c 0 c 0 b
0 c 0 c 0 c
0 c 0 c a 0
0 c 0 c a a
0 c 0 c a b
0 c 0 c a c
0 c 0 c b 0
0 c 0 c b a
0 c 0 c b b
0 c 0 c b c
0 c 0 c c 0
0 c 0 c c a
0 c 0 c c b
0 c 0 c c c
Is it a nice code?: No
Generator Matrix-138
a 0 a 0 0 0
b 0 b 0 0 0
0 c 0 0 0 c
0 0 c 0 0 0
0 0 0 c 0 0
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 0
0 0 0 c c c
0 0 c 0 0 0
0 0 c 0 c c
0 0 c c 0 0
0 0 c c c c
0 c 0 0 0 c
0 c 0 0 c 0
0 c 0 c 0 c
0 c 0 c c 0
0 c c 0 0 c
0 c c 0 c 0
0 c c c 0 c
0 c c c c 0
b 0 b 0 0 0
b 0 b 0 c c
b 0 b c 0 0
b 0 b c c c
b 0 a 0 0 0
b 0 a 0 c c
b 0 a c 0 0
b 0 a c c c
b c b 0 0 c
b c b 0 c 0
b c b c 0 c
b c b c c 0
b c a 0 0 c
b c a 0 c 0
b c a c 0 c
b c a c c 0
a 0 a 0 0 0
a 0 a 0 c c
a 0 a c 0 0
a 0 a c c c
a 0 b 0 0 0
a 0 b 0 c c
a 0 b c 0 0
a 0 b c c c
a c a 0 0 c
a c a 0 c 0
a c a c 0 c
a c a c c 0
a c b 0 0 c
a c b 0 c 0
a c b c 0 c
a c b c c 0
c 0 c 0 0 0
c 0 c 0 c c
c 0 c c 0 0
c 0 c c c c
c 0 0 0 0 0
c 0 0 0 c c
c 0 0 c 0 0
c 0 0 c c c
c c c 0 0 c
c c c 0 c 0
c c c c 0 c
c c c c c 0
c c 0 0 0 c
c c 0 0 c 0
c c 0 c 0 c
c c 0 c c 0
dmin: 1
Weight Enumerator: 1x0 + 3x1 + 10x2 + 14x3 + 21x4 + 15x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)3 (X_b)2 (X_c)1 + (X_0)1 (X_b)2 (X_c)3 + (X_0)4 (X_a)1 (X_b)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)3 (X_a)2 (X_c)1 + (X_0)1 (X_a)2 (X_c)3 + (X_0)4 (X_a)1 (X_b)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)1 (X_a)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 a a 0
0 0 0 a a a
0 0 0 a a b
0 0 0 a a c
0 0 0 a b 0
0 0 0 a b a
0 0 0 a b b
0 0 0 a b c
0 0 0 a c 0
0 0 0 a c a
0 0 0 a c b
0 0 0 a c c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 b a 0
0 0 0 b a a
0 0 0 b a b
0 0 0 b a c
0 0 0 b b 0
0 0 0 b b a
0 0 0 b b b
0 0 0 b b c
0 0 0 b c 0
0 0 0 b c a
0 0 0 b c b
0 0 0 b c c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c
0 0 0 c a 0
0 0 0 c a a
0 0 0 c a b
0 0 0 c a c
0 0 0 c b 0
0 0 0 c b a
0 0 0 c b b
0 0 0 c b c
0 0 0 c c 0
0 0 0 c c a
0 0 0 c c b
0 0 0 c c c
0 a 0 0 0 0
0 a 0 0 0 a
0 a 0 0 0 b
0 a 0 0 0 c
0 a 0 0 a 0
0 a 0 0 a a
0 a 0 0 a b
0 a 0 0 a c
0 a 0 0 b 0
0 a 0 0 b a
0 a 0 0 b b
0 a 0 0 b c
0 a 0 0 c 0
0 a 0 0 c a
0 a 0 0 c b
0 a 0 0 c c
0 a 0 a 0 0
0 a 0 a 0 a
0 a 0 a 0 b
0 a 0 a 0 c
0 a 0 a a 0
0 a 0 a a a
0 a 0 a a b
0 a 0 a a c
0 a 0 a b 0
0 a 0 a b a
0 a 0 a b b
0 a 0 a b c
0 a 0 a c 0
0 a 0 a c a
0 a 0 a c b
0 a 0 a c c
0 a 0 b 0 0
0 a 0 b 0 a
0 a 0 b 0 b
0 a 0 b 0 c
0 a 0 b a 0
0 a 0 b a a
0 a 0 b a b
0 a 0 b a c
0 a 0 b b 0
0 a 0 b b a
0 a 0 b b b
0 a 0 b b c
0 a 0 b c 0
0 a 0 b c a
0 a 0 b c b
0 a 0 b c c
0 a 0 c 0 0
0 a 0 c 0 a
0 a 0 c 0 b
0 a 0 c 0 c
0 a 0 c a 0
0 a 0 c a a
0 a 0 c a b
0 a 0 c a c
0 a 0 c b 0
0 a 0 c b a
0 a 0 c b b
0 a 0 c b c
0 a 0 c c 0
0 a 0 c c a
0 a 0 c c b
0 a 0 c c c
0 b 0 0 0 0
0 b 0 0 0 a
0 b 0 0 0 b
0 b 0 0 0 c
0 b 0 0 a 0
0 b 0 0 a a
0 b 0 0 a b
0 b 0 0 a c
0 b 0 0 b 0
0 b 0 0 b a
0 b 0 0 b b
0 b 0 0 b c
0 b 0 0 c 0
0 b 0 0 c a
0 b 0 0 c b
0 b 0 0 c c
0 b 0 a 0 0
0 b 0 a 0 a
0 b 0 a 0 b
0 b 0 a 0 c
0 b 0 a a 0
0 b 0 a a a
0 b 0 a a b
0 b 0 a a c
0 b 0 a b 0
0 b 0 a b a
0 b 0 a b b
0 b 0 a b c
0 b 0 a c 0
0 b 0 a c a
0 b 0 a c b
0 b 0 a c c
0 b 0 b 0 0
0 b 0 b 0 a
0 b 0 b 0 b
0 b 0 b 0 c
0 b 0 b a 0
0 b 0 b a a
0 b 0 b a b
0 b 0 b a c
0 b 0 b b 0
0 b 0 b b a
0 b 0 b b b
0 b 0 b b c
0 b 0 b c 0
0 b 0 b c a
0 b 0 b c b
0 b 0 b c c
0 b 0 c 0 0
0 b 0 c 0 a
0 b 0 c 0 b
0 b 0 c 0 c
0 b 0 c a 0
0 b 0 c a a
0 b 0 c a b
0 b 0 c a c
0 b 0 c b 0
0 b 0 c b a
0 b 0 c b b
0 b 0 c b c
0 b 0 c c 0
0 b 0 c c a
0 b 0 c c b
0 b 0 c c c
0 c 0 0 0 0
0 c 0 0 0 a
0 c 0 0 0 b
0 c 0 0 0 c
0 c 0 0 a 0
0 c 0 0 a a
0 c 0 0 a b
0 c 0 0 a c
0 c 0 0 b 0
0 c 0 0 b a
0 c 0 0 b b
0 c 0 0 b c
0 c 0 0 c 0
0 c 0 0 c a
0 c 0 0 c b
0 c 0 0 c c
0 c 0 a 0 0
0 c 0 a 0 a
0 c 0 a 0 b
0 c 0 a 0 c
0 c 0 a a 0
0 c 0 a a a
0 c 0 a a b
0 c 0 a a c
0 c 0 a b 0
0 c 0 a b a
0 c 0 a b b
0 c 0 a b c
0 c 0 a c 0
0 c 0 a c a
0 c 0 a c b
0 c 0 a c c
0 c 0 b 0 0
0 c 0 b 0 a
0 c 0 b 0 b
0 c 0 b 0 c
0 c 0 b a 0
0 c 0 b a a
0 c 0 b a b
0 c 0 b a c
0 c 0 b b 0
0 c 0 b b a
0 c 0 b b b
0 c 0 b b c
0 c 0 b c 0
0 c 0 b c a
0 c 0 b c b
0 c 0 b c c
0 c 0 c 0 0
0 c 0 c 0 a
0 c 0 c 0 b
0 c 0 c 0 c
0 c 0 c a 0
0 c 0 c a a
0 c 0 c a b
0 c 0 c a c
0 c 0 c b 0
0 c 0 c b a
0 c 0 c b b
0 c 0 c b c
0 c 0 c c 0
0 c 0 c c a
0 c 0 c c b
0 c 0 c c c
Is it a nice code?: No
Generator Matrix-139
a 0 a 0 0 0
b 0 b 0 0 0
0 c 0 0 0 c
0 0 c 0 0 0
0 0 0 c 0 c
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 c
0 0 0 c c c
0 0 c 0 0 0
0 0 c 0 c 0
0 0 c c 0 c
0 0 c c c c
0 c 0 0 0 c
0 c 0 0 c c
0 c 0 c 0 0
0 c 0 c c 0
0 c c 0 0 c
0 c c 0 c c
0 c c c 0 0
0 c c c c 0
b 0 b 0 0 0
b 0 b 0 c 0
b 0 b c 0 c
b 0 b c c c
b 0 a 0 0 0
b 0 a 0 c 0
b 0 a c 0 c
b 0 a c c c
b c b 0 0 c
b c b 0 c c
b c b c 0 0
b c b c c 0
b c a 0 0 c
b c a 0 c c
b c a c 0 0
b c a c c 0
a 0 a 0 0 0
a 0 a 0 c 0
a 0 a c 0 c
a 0 a c c c
a 0 b 0 0 0
a 0 b 0 c 0
a 0 b c 0 c
a 0 b c c c
a c a 0 0 c
a c a 0 c c
a c a c 0 0
a c a c c 0
a c b 0 0 c
a c b 0 c c
a c b c 0 0
a c b c c 0
c 0 c 0 0 0
c 0 c 0 c 0
c 0 c c 0 c
c 0 c c c c
c 0 0 0 0 0
c 0 0 0 c 0
c 0 0 c 0 c
c 0 0 c c c
c c c 0 0 c
c c c 0 c c
c c c c 0 0
c c c c c 0
c c 0 0 0 c
c c 0 0 c c
c c 0 c 0 0
c c 0 c c 0
dmin: 1
Weight Enumerator: 1x0 + 3x1 + 10x2 + 14x3 + 21x4 + 15x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_b)2 + (X_0)3 (X_b)2 (X_c)1 + (X_0)2 (X_b)2 (X_c)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)4 (X_a)1 (X_b)1 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_b)2 (X_c)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)2 (X_b)2 (X_c)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_a)2 + (X_0)3 (X_a)2 (X_c)1 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)4 (X_a)1 (X_b)1 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 a a 0
0 0 0 a a a
0 0 0 a a b
0 0 0 a a c
0 0 0 a b 0
0 0 0 a b a
0 0 0 a b b
0 0 0 a b c
0 0 0 a c 0
0 0 0 a c a
0 0 0 a c b
0 0 0 a c c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 b a 0
0 0 0 b a a
0 0 0 b a b
0 0 0 b a c
0 0 0 b b 0
0 0 0 b b a
0 0 0 b b b
0 0 0 b b c
0 0 0 b c 0
0 0 0 b c a
0 0 0 b c b
0 0 0 b c c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c
0 0 0 c a 0
0 0 0 c a a
0 0 0 c a b
0 0 0 c a c
0 0 0 c b 0
0 0 0 c b a
0 0 0 c b b
0 0 0 c b c
0 0 0 c c 0
0 0 0 c c a
0 0 0 c c b
0 0 0 c c c
0 a 0 0 0 0
0 a 0 0 0 a
0 a 0 0 0 b
0 a 0 0 0 c
0 a 0 0 a 0
0 a 0 0 a a
0 a 0 0 a b
0 a 0 0 a c
0 a 0 0 b 0
0 a 0 0 b a
0 a 0 0 b b
0 a 0 0 b c
0 a 0 0 c 0
0 a 0 0 c a
0 a 0 0 c b
0 a 0 0 c c
0 a 0 a 0 0
0 a 0 a 0 a
0 a 0 a 0 b
0 a 0 a 0 c
0 a 0 a a 0
0 a 0 a a a
0 a 0 a a b
0 a 0 a a c
0 a 0 a b 0
0 a 0 a b a
0 a 0 a b b
0 a 0 a b c
0 a 0 a c 0
0 a 0 a c a
0 a 0 a c b
0 a 0 a c c
0 a 0 b 0 0
0 a 0 b 0 a
0 a 0 b 0 b
0 a 0 b 0 c
0 a 0 b a 0
0 a 0 b a a
0 a 0 b a b
0 a 0 b a c
0 a 0 b b 0
0 a 0 b b a
0 a 0 b b b
0 a 0 b b c
0 a 0 b c 0
0 a 0 b c a
0 a 0 b c b
0 a 0 b c c
0 a 0 c 0 0
0 a 0 c 0 a
0 a 0 c 0 b
0 a 0 c 0 c
0 a 0 c a 0
0 a 0 c a a
0 a 0 c a b
0 a 0 c a c
0 a 0 c b 0
0 a 0 c b a
0 a 0 c b b
0 a 0 c b c
0 a 0 c c 0
0 a 0 c c a
0 a 0 c c b
0 a 0 c c c
0 b 0 0 0 0
0 b 0 0 0 a
0 b 0 0 0 b
0 b 0 0 0 c
0 b 0 0 a 0
0 b 0 0 a a
0 b 0 0 a b
0 b 0 0 a c
0 b 0 0 b 0
0 b 0 0 b a
0 b 0 0 b b
0 b 0 0 b c
0 b 0 0 c 0
0 b 0 0 c a
0 b 0 0 c b
0 b 0 0 c c
0 b 0 a 0 0
0 b 0 a 0 a
0 b 0 a 0 b
0 b 0 a 0 c
0 b 0 a a 0
0 b 0 a a a
0 b 0 a a b
0 b 0 a a c
0 b 0 a b 0
0 b 0 a b a
0 b 0 a b b
0 b 0 a b c
0 b 0 a c 0
0 b 0 a c a
0 b 0 a c b
0 b 0 a c c
0 b 0 b 0 0
0 b 0 b 0 a
0 b 0 b 0 b
0 b 0 b 0 c
0 b 0 b a 0
0 b 0 b a a
0 b 0 b a b
0 b 0 b a c
0 b 0 b b 0
0 b 0 b b a
0 b 0 b b b
0 b 0 b b c
0 b 0 b c 0
0 b 0 b c a
0 b 0 b c b
0 b 0 b c c
0 b 0 c 0 0
0 b 0 c 0 a
0 b 0 c 0 b
0 b 0 c 0 c
0 b 0 c a 0
0 b 0 c a a
0 b 0 c a b
0 b 0 c a c
0 b 0 c b 0
0 b 0 c b a
0 b 0 c b b
0 b 0 c b c
0 b 0 c c 0
0 b 0 c c a
0 b 0 c c b
0 b 0 c c c
0 c 0 0 0 0
0 c 0 0 0 a
0 c 0 0 0 b
0 c 0 0 0 c
0 c 0 0 a 0
0 c 0 0 a a
0 c 0 0 a b
0 c 0 0 a c
0 c 0 0 b 0
0 c 0 0 b a
0 c 0 0 b b
0 c 0 0 b c
0 c 0 0 c 0
0 c 0 0 c a
0 c 0 0 c b
0 c 0 0 c c
0 c 0 a 0 0
0 c 0 a 0 a
0 c 0 a 0 b
0 c 0 a 0 c
0 c 0 a a 0
0 c 0 a a a
0 c 0 a a b
0 c 0 a a c
0 c 0 a b 0
0 c 0 a b a
0 c 0 a b b
0 c 0 a b c
0 c 0 a c 0
0 c 0 a c a
0 c 0 a c b
0 c 0 a c c
0 c 0 b 0 0
0 c 0 b 0 a
0 c 0 b 0 b
0 c 0 b 0 c
0 c 0 b a 0
0 c 0 b a a
0 c 0 b a b
0 c 0 b a c
0 c 0 b b 0
0 c 0 b b a
0 c 0 b b b
0 c 0 b b c
0 c 0 b c 0
0 c 0 b c a
0 c 0 b c b
0 c 0 b c c
0 c 0 c 0 0
0 c 0 c 0 a
0 c 0 c 0 b
0 c 0 c 0 c
0 c 0 c a 0
0 c 0 c a a
0 c 0 c a b
0 c 0 c a c
0 c 0 c b 0
0 c 0 c b a
0 c 0 c b b
0 c 0 c b c
0 c 0 c c 0
0 c 0 c c a
0 c 0 c c b
0 c 0 c c c
Is it a nice code?: No
Generator Matrix-140
a 0 a 0 0 0
b 0 b 0 0 0
0 c 0 0 0 c
0 0 c 0 0 0
0 0 0 c 0 c
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 c
0 0 0 c c 0
0 0 c 0 0 0
0 0 c 0 c c
0 0 c c 0 c
0 0 c c c 0
0 c 0 0 0 c
0 c 0 0 c 0
0 c 0 c 0 0
0 c 0 c c c
0 c c 0 0 c
0 c c 0 c 0
0 c c c 0 0
0 c c c c c
b 0 b 0 0 0
b 0 b 0 c c
b 0 b c 0 c
b 0 b c c 0
b 0 a 0 0 0
b 0 a 0 c c
b 0 a c 0 c
b 0 a c c 0
b c b 0 0 c
b c b 0 c 0
b c b c 0 0
b c b c c c
b c a 0 0 c
b c a 0 c 0
b c a c 0 0
b c a c c c
a 0 a 0 0 0
a 0 a 0 c c
a 0 a c 0 c
a 0 a c c 0
a 0 b 0 0 0
a 0 b 0 c c
a 0 b c 0 c
a 0 b c c 0
a c a 0 0 c
a c a 0 c 0
a c a c 0 0
a c a c c c
a c b 0 0 c
a c b 0 c 0
a c b c 0 0
a c b c c c
c 0 c 0 0 0
c 0 c 0 c c
c 0 c c 0 c
c 0 c c c 0
c 0 0 0 0 0
c 0 0 0 c c
c 0 0 c 0 c
c 0 0 c c 0
c c c 0 0 c
c c c 0 c 0
c c c c 0 0
c c c c c c
c c 0 0 0 c
c c 0 0 c 0
c c 0 c 0 0
c c 0 c c c
dmin: 1
Weight Enumerator: 1x0 + 2x1 + 11x2 + 12x3 + 31x4 + 2x5 + 5x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)4 (X_a)1 (X_b)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_b)2 (X_c)2 + (X_b)2 (X_c)4 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_a)1 (X_b)1 (X_c)4 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)4 (X_a)1 (X_b)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)2 (X_c)2 + (X_a)2 (X_c)4 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_a)1 (X_b)1 (X_c)4 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_c)6 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 a a 0
0 0 0 a a a
0 0 0 a a b
0 0 0 a a c
0 0 0 a b 0
0 0 0 a b a
0 0 0 a b b
0 0 0 a b c
0 0 0 a c 0
0 0 0 a c a
0 0 0 a c b
0 0 0 a c c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 b a 0
0 0 0 b a a
0 0 0 b a b
0 0 0 b a c
0 0 0 b b 0
0 0 0 b b a
0 0 0 b b b
0 0 0 b b c
0 0 0 b c 0
0 0 0 b c a
0 0 0 b c b
0 0 0 b c c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c
0 0 0 c a 0
0 0 0 c a a
0 0 0 c a b
0 0 0 c a c
0 0 0 c b 0
0 0 0 c b a
0 0 0 c b b
0 0 0 c b c
0 0 0 c c 0
0 0 0 c c a
0 0 0 c c b
0 0 0 c c c
0 a 0 0 0 0
0 a 0 0 0 a
0 a 0 0 0 b
0 a 0 0 0 c
0 a 0 0 a 0
0 a 0 0 a a
0 a 0 0 a b
0 a 0 0 a c
0 a 0 0 b 0
0 a 0 0 b a
0 a 0 0 b b
0 a 0 0 b c
0 a 0 0 c 0
0 a 0 0 c a
0 a 0 0 c b
0 a 0 0 c c
0 a 0 a 0 0
0 a 0 a 0 a
0 a 0 a 0 b
0 a 0 a 0 c
0 a 0 a a 0
0 a 0 a a a
0 a 0 a a b
0 a 0 a a c
0 a 0 a b 0
0 a 0 a b a
0 a 0 a b b
0 a 0 a b c
0 a 0 a c 0
0 a 0 a c a
0 a 0 a c b
0 a 0 a c c
0 a 0 b 0 0
0 a 0 b 0 a
0 a 0 b 0 b
0 a 0 b 0 c
0 a 0 b a 0
0 a 0 b a a
0 a 0 b a b
0 a 0 b a c
0 a 0 b b 0
0 a 0 b b a
0 a 0 b b b
0 a 0 b b c
0 a 0 b c 0
0 a 0 b c a
0 a 0 b c b
0 a 0 b c c
0 a 0 c 0 0
0 a 0 c 0 a
0 a 0 c 0 b
0 a 0 c 0 c
0 a 0 c a 0
0 a 0 c a a
0 a 0 c a b
0 a 0 c a c
0 a 0 c b 0
0 a 0 c b a
0 a 0 c b b
0 a 0 c b c
0 a 0 c c 0
0 a 0 c c a
0 a 0 c c b
0 a 0 c c c
0 b 0 0 0 0
0 b 0 0 0 a
0 b 0 0 0 b
0 b 0 0 0 c
0 b 0 0 a 0
0 b 0 0 a a
0 b 0 0 a b
0 b 0 0 a c
0 b 0 0 b 0
0 b 0 0 b a
0 b 0 0 b b
0 b 0 0 b c
0 b 0 0 c 0
0 b 0 0 c a
0 b 0 0 c b
0 b 0 0 c c
0 b 0 a 0 0
0 b 0 a 0 a
0 b 0 a 0 b
0 b 0 a 0 c
0 b 0 a a 0
0 b 0 a a a
0 b 0 a a b
0 b 0 a a c
0 b 0 a b 0
0 b 0 a b a
0 b 0 a b b
0 b 0 a b c
0 b 0 a c 0
0 b 0 a c a
0 b 0 a c b
0 b 0 a c c
0 b 0 b 0 0
0 b 0 b 0 a
0 b 0 b 0 b
0 b 0 b 0 c
0 b 0 b a 0
0 b 0 b a a
0 b 0 b a b
0 b 0 b a c
0 b 0 b b 0
0 b 0 b b a
0 b 0 b b b
0 b 0 b b c
0 b 0 b c 0
0 b 0 b c a
0 b 0 b c b
0 b 0 b c c
0 b 0 c 0 0
0 b 0 c 0 a
0 b 0 c 0 b
0 b 0 c 0 c
0 b 0 c a 0
0 b 0 c a a
0 b 0 c a b
0 b 0 c a c
0 b 0 c b 0
0 b 0 c b a
0 b 0 c b b
0 b 0 c b c
0 b 0 c c 0
0 b 0 c c a
0 b 0 c c b
0 b 0 c c c
0 c 0 0 0 0
0 c 0 0 0 a
0 c 0 0 0 b
0 c 0 0 0 c
0 c 0 0 a 0
0 c 0 0 a a
0 c 0 0 a b
0 c 0 0 a c
0 c 0 0 b 0
0 c 0 0 b a
0 c 0 0 b b
0 c 0 0 b c
0 c 0 0 c 0
0 c 0 0 c a
0 c 0 0 c b
0 c 0 0 c c
0 c 0 a 0 0
0 c 0 a 0 a
0 c 0 a 0 b
0 c 0 a 0 c
0 c 0 a a 0
0 c 0 a a a
0 c 0 a a b
0 c 0 a a c
0 c 0 a b 0
0 c 0 a b a
0 c 0 a b b
0 c 0 a b c
0 c 0 a c 0
0 c 0 a c a
0 c 0 a c b
0 c 0 a c c
0 c 0 b 0 0
0 c 0 b 0 a
0 c 0 b 0 b
0 c 0 b 0 c
0 c 0 b a 0
0 c 0 b a a
0 c 0 b a b
0 c 0 b a c
0 c 0 b b 0
0 c 0 b b a
0 c 0 b b b
0 c 0 b b c
0 c 0 b c 0
0 c 0 b c a
0 c 0 b c b
0 c 0 b c c
0 c 0 c 0 0
0 c 0 c 0 a
0 c 0 c 0 b
0 c 0 c 0 c
0 c 0 c a 0
0 c 0 c a a
0 c 0 c a b
0 c 0 c a c
0 c 0 c b 0
0 c 0 c b a
0 c 0 c b b
0 c 0 c b c
0 c 0 c c 0
0 c 0 c c a
0 c 0 c c b
0 c 0 c c c
Is it a nice code?: No
Generator Matrix-141
a 0 a 0 0 0
b 0 b 0 0 0
0 c 0 0 0 c
0 0 c 0 0 c
0 0 0 c 0 0
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 0
0 0 0 c c 0
0 0 c 0 0 c
0 0 c 0 c c
0 0 c c 0 c
0 0 c c c c
0 c 0 0 0 c
0 c 0 0 c c
0 c 0 c 0 c
0 c 0 c c c
0 c c 0 0 0
0 c c 0 c 0
0 c c c 0 0
0 c c c c 0
b 0 b 0 0 0
b 0 b 0 c 0
b 0 b c 0 0
b 0 b c c 0
b 0 a 0 0 c
b 0 a 0 c c
b 0 a c 0 c
b 0 a c c c
b c b 0 0 c
b c b 0 c c
b c b c 0 c
b c b c c c
b c a 0 0 0
b c a 0 c 0
b c a c 0 0
b c a c c 0
a 0 a 0 0 0
a 0 a 0 c 0
a 0 a c 0 0
a 0 a c c 0
a 0 b 0 0 c
a 0 b 0 c c
a 0 b c 0 c
a 0 b c c c
a c a 0 0 c
a c a 0 c c
a c a c 0 c
a c a c c c
a c b 0 0 0
a c b 0 c 0
a c b c 0 0
a c b c c 0
c 0 c 0 0 0
c 0 c 0 c 0
c 0 c c 0 0
c 0 c c c 0
c 0 0 0 0 c
c 0 0 0 c c
c 0 0 c 0 c
c 0 0 c c c
c c c 0 0 c
c c c 0 c c
c c c c 0 c
c c c c c c
c c 0 0 0 0
c c 0 0 c 0
c c 0 c 0 0
c c 0 c c 0
dmin: 1
Weight Enumerator: 1x0 + 2x1 + 9x2 + 20x3 + 19x4 + 10x5 + 3x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_b)2 + (X_0)3 (X_b)2 (X_c)1 + (X_0)3 (X_b)2 (X_c)1 + (X_0)2 (X_b)2 (X_c)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_b)2 (X_c)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)1 (X_b)2 (X_c)3 + (X_b)2 (X_c)4 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_a)2 + (X_0)3 (X_a)2 (X_c)1 + (X_0)3 (X_a)2 (X_c)1 + (X_0)2 (X_a)2 (X_c)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)1 (X_a)2 (X_c)3 + (X_a)2 (X_c)4 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5 + (X_c)6 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 a a 0
0 0 0 a a a
0 0 0 a a b
0 0 0 a a c
0 0 0 a b 0
0 0 0 a b a
0 0 0 a b b
0 0 0 a b c
0 0 0 a c 0
0 0 0 a c a
0 0 0 a c b
0 0 0 a c c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 b a 0
0 0 0 b a a
0 0 0 b a b
0 0 0 b a c
0 0 0 b b 0
0 0 0 b b a
0 0 0 b b b
0 0 0 b b c
0 0 0 b c 0
0 0 0 b c a
0 0 0 b c b
0 0 0 b c c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c
0 0 0 c a 0
0 0 0 c a a
0 0 0 c a b
0 0 0 c a c
0 0 0 c b 0
0 0 0 c b a
0 0 0 c b b
0 0 0 c b c
0 0 0 c c 0
0 0 0 c c a
0 0 0 c c b
0 0 0 c c c
0 a 0 0 0 0
0 a 0 0 0 a
0 a 0 0 0 b
0 a 0 0 0 c
0 a 0 0 a 0
0 a 0 0 a a
0 a 0 0 a b
0 a 0 0 a c
0 a 0 0 b 0
0 a 0 0 b a
0 a 0 0 b b
0 a 0 0 b c
0 a 0 0 c 0
0 a 0 0 c a
0 a 0 0 c b
0 a 0 0 c c
0 a 0 a 0 0
0 a 0 a 0 a
0 a 0 a 0 b
0 a 0 a 0 c
0 a 0 a a 0
0 a 0 a a a
0 a 0 a a b
0 a 0 a a c
0 a 0 a b 0
0 a 0 a b a
0 a 0 a b b
0 a 0 a b c
0 a 0 a c 0
0 a 0 a c a
0 a 0 a c b
0 a 0 a c c
0 a 0 b 0 0
0 a 0 b 0 a
0 a 0 b 0 b
0 a 0 b 0 c
0 a 0 b a 0
0 a 0 b a a
0 a 0 b a b
0 a 0 b a c
0 a 0 b b 0
0 a 0 b b a
0 a 0 b b b
0 a 0 b b c
0 a 0 b c 0
0 a 0 b c a
0 a 0 b c b
0 a 0 b c c
0 a 0 c 0 0
0 a 0 c 0 a
0 a 0 c 0 b
0 a 0 c 0 c
0 a 0 c a 0
0 a 0 c a a
0 a 0 c a b
0 a 0 c a c
0 a 0 c b 0
0 a 0 c b a
0 a 0 c b b
0 a 0 c b c
0 a 0 c c 0
0 a 0 c c a
0 a 0 c c b
0 a 0 c c c
0 b 0 0 0 0
0 b 0 0 0 a
0 b 0 0 0 b
0 b 0 0 0 c
0 b 0 0 a 0
0 b 0 0 a a
0 b 0 0 a b
0 b 0 0 a c
0 b 0 0 b 0
0 b 0 0 b a
0 b 0 0 b b
0 b 0 0 b c
0 b 0 0 c 0
0 b 0 0 c a
0 b 0 0 c b
0 b 0 0 c c
0 b 0 a 0 0
0 b 0 a 0 a
0 b 0 a 0 b
0 b 0 a 0 c
0 b 0 a a 0
0 b 0 a a a
0 b 0 a a b
0 b 0 a a c
0 b 0 a b 0
0 b 0 a b a
0 b 0 a b b
0 b 0 a b c
0 b 0 a c 0
0 b 0 a c a
0 b 0 a c b
0 b 0 a c c
0 b 0 b 0 0
0 b 0 b 0 a
0 b 0 b 0 b
0 b 0 b 0 c
0 b 0 b a 0
0 b 0 b a a
0 b 0 b a b
0 b 0 b a c
0 b 0 b b 0
0 b 0 b b a
0 b 0 b b b
0 b 0 b b c
0 b 0 b c 0
0 b 0 b c a
0 b 0 b c b
0 b 0 b c c
0 b 0 c 0 0
0 b 0 c 0 a
0 b 0 c 0 b
0 b 0 c 0 c
0 b 0 c a 0
0 b 0 c a a
0 b 0 c a b
0 b 0 c a c
0 b 0 c b 0
0 b 0 c b a
0 b 0 c b b
0 b 0 c b c
0 b 0 c c 0
0 b 0 c c a
0 b 0 c c b
0 b 0 c c c
0 c 0 0 0 0
0 c 0 0 0 a
0 c 0 0 0 b
0 c 0 0 0 c
0 c 0 0 a 0
0 c 0 0 a a
0 c 0 0 a b
0 c 0 0 a c
0 c 0 0 b 0
0 c 0 0 b a
0 c 0 0 b b
0 c 0 0 b c
0 c 0 0 c 0
0 c 0 0 c a
0 c 0 0 c b
0 c 0 0 c c
0 c 0 a 0 0
0 c 0 a 0 a
0 c 0 a 0 b
0 c 0 a 0 c
0 c 0 a a 0
0 c 0 a a a
0 c 0 a a b
0 c 0 a a c
0 c 0 a b 0
0 c 0 a b a
0 c 0 a b b
0 c 0 a b c
0 c 0 a c 0
0 c 0 a c a
0 c 0 a c b
0 c 0 a c c
0 c 0 b 0 0
0 c 0 b 0 a
0 c 0 b 0 b
0 c 0 b 0 c
0 c 0 b a 0
0 c 0 b a a
0 c 0 b a b
0 c 0 b a c
0 c 0 b b 0
0 c 0 b b a
0 c 0 b b b
0 c 0 b b c
0 c 0 b c 0
0 c 0 b c a
0 c 0 b c b
0 c 0 b c c
0 c 0 c 0 0
0 c 0 c 0 a
0 c 0 c 0 b
0 c 0 c 0 c
0 c 0 c a 0
0 c 0 c a a
0 c 0 c a b
0 c 0 c a c
0 c 0 c b 0
0 c 0 c b a
0 c 0 c b b
0 c 0 c b c
0 c 0 c c 0
0 c 0 c c a
0 c 0 c c b
0 c 0 c c c
Is it a nice code?: No
Generator Matrix-142
a 0 a 0 0 0
b 0 b 0 0 0
0 c 0 0 0 c
0 0 c 0 0 c
0 0 0 c 0 0
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 0
0 0 0 c c c
0 0 c 0 0 c
0 0 c 0 c 0
0 0 c c 0 c
0 0 c c c 0
0 c 0 0 0 c
0 c 0 0 c 0
0 c 0 c 0 c
0 c 0 c c 0
0 c c 0 0 0
0 c c 0 c c
0 c c c 0 0
0 c c c c c
b 0 b 0 0 0
b 0 b 0 c c
b 0 b c 0 0
b 0 b c c c
b 0 a 0 0 c
b 0 a 0 c 0
b 0 a c 0 c
b 0 a c c 0
b c b 0 0 c
b c b 0 c 0
b c b c 0 c
b c b c c 0
b c a 0 0 0
b c a 0 c c
b c a c 0 0
b c a c c c
a 0 a 0 0 0
a 0 a 0 c c
a 0 a c 0 0
a 0 a c c c
a 0 b 0 0 c
a 0 b 0 c 0
a 0 b c 0 c
a 0 b c c 0
a c a 0 0 c
a c a 0 c 0
a c a c 0 c
a c a c c 0
a c b 0 0 0
a c b 0 c c
a c b c 0 0
a c b c c c
c 0 c 0 0 0
c 0 c 0 c c
c 0 c c 0 0
c 0 c c c c
c 0 0 0 0 c
c 0 0 0 c 0
c 0 0 c 0 c
c 0 0 c c 0
c c c 0 0 c
c c c 0 c 0
c c c c 0 c
c c c c c 0
c c 0 0 0 0
c c 0 0 c c
c c 0 c 0 0
c c 0 c c c
dmin: 1
Weight Enumerator: 1x0 + 1x1 + 12x2 + 18x3 + 17x4 + 13x5 + 2x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)3 (X_b)2 (X_c)1 + (X_0)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_a)1 (X_b)1 (X_c)4 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)3 (X_a)2 (X_c)1 + (X_0)1 (X_a)2 (X_c)3 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)1 (X_a)2 (X_c)3 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_a)1 (X_b)1 (X_c)4 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 a a 0
0 0 0 a a a
0 0 0 a a b
0 0 0 a a c
0 0 0 a b 0
0 0 0 a b a
0 0 0 a b b
0 0 0 a b c
0 0 0 a c 0
0 0 0 a c a
0 0 0 a c b
0 0 0 a c c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 b a 0
0 0 0 b a a
0 0 0 b a b
0 0 0 b a c
0 0 0 b b 0
0 0 0 b b a
0 0 0 b b b
0 0 0 b b c
0 0 0 b c 0
0 0 0 b c a
0 0 0 b c b
0 0 0 b c c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c
0 0 0 c a 0
0 0 0 c a a
0 0 0 c a b
0 0 0 c a c
0 0 0 c b 0
0 0 0 c b a
0 0 0 c b b
0 0 0 c b c
0 0 0 c c 0
0 0 0 c c a
0 0 0 c c b
0 0 0 c c c
0 a 0 0 0 0
0 a 0 0 0 a
0 a 0 0 0 b
0 a 0 0 0 c
0 a 0 0 a 0
0 a 0 0 a a
0 a 0 0 a b
0 a 0 0 a c
0 a 0 0 b 0
0 a 0 0 b a
0 a 0 0 b b
0 a 0 0 b c
0 a 0 0 c 0
0 a 0 0 c a
0 a 0 0 c b
0 a 0 0 c c
0 a 0 a 0 0
0 a 0 a 0 a
0 a 0 a 0 b
0 a 0 a 0 c
0 a 0 a a 0
0 a 0 a a a
0 a 0 a a b
0 a 0 a a c
0 a 0 a b 0
0 a 0 a b a
0 a 0 a b b
0 a 0 a b c
0 a 0 a c 0
0 a 0 a c a
0 a 0 a c b
0 a 0 a c c
0 a 0 b 0 0
0 a 0 b 0 a
0 a 0 b 0 b
0 a 0 b 0 c
0 a 0 b a 0
0 a 0 b a a
0 a 0 b a b
0 a 0 b a c
0 a 0 b b 0
0 a 0 b b a
0 a 0 b b b
0 a 0 b b c
0 a 0 b c 0
0 a 0 b c a
0 a 0 b c b
0 a 0 b c c
0 a 0 c 0 0
0 a 0 c 0 a
0 a 0 c 0 b
0 a 0 c 0 c
0 a 0 c a 0
0 a 0 c a a
0 a 0 c a b
0 a 0 c a c
0 a 0 c b 0
0 a 0 c b a
0 a 0 c b b
0 a 0 c b c
0 a 0 c c 0
0 a 0 c c a
0 a 0 c c b
0 a 0 c c c
0 b 0 0 0 0
0 b 0 0 0 a
0 b 0 0 0 b
0 b 0 0 0 c
0 b 0 0 a 0
0 b 0 0 a a
0 b 0 0 a b
0 b 0 0 a c
0 b 0 0 b 0
0 b 0 0 b a
0 b 0 0 b b
0 b 0 0 b c
0 b 0 0 c 0
0 b 0 0 c a
0 b 0 0 c b
0 b 0 0 c c
0 b 0 a 0 0
0 b 0 a 0 a
0 b 0 a 0 b
0 b 0 a 0 c
0 b 0 a a 0
0 b 0 a a a
0 b 0 a a b
0 b 0 a a c
0 b 0 a b 0
0 b 0 a b a
0 b 0 a b b
0 b 0 a b c
0 b 0 a c 0
0 b 0 a c a
0 b 0 a c b
0 b 0 a c c
0 b 0 b 0 0
0 b 0 b 0 a
0 b 0 b 0 b
0 b 0 b 0 c
0 b 0 b a 0
0 b 0 b a a
0 b 0 b a b
0 b 0 b a c
0 b 0 b b 0
0 b 0 b b a
0 b 0 b b b
0 b 0 b b c
0 b 0 b c 0
0 b 0 b c a
0 b 0 b c b
0 b 0 b c c
0 b 0 c 0 0
0 b 0 c 0 a
0 b 0 c 0 b
0 b 0 c 0 c
0 b 0 c a 0
0 b 0 c a a
0 b 0 c a b
0 b 0 c a c
0 b 0 c b 0
0 b 0 c b a
0 b 0 c b b
0 b 0 c b c
0 b 0 c c 0
0 b 0 c c a
0 b 0 c c b
0 b 0 c c c
0 c 0 0 0 0
0 c 0 0 0 a
0 c 0 0 0 b
0 c 0 0 0 c
0 c 0 0 a 0
0 c 0 0 a a
0 c 0 0 a b
0 c 0 0 a c
0 c 0 0 b 0
0 c 0 0 b a
0 c 0 0 b b
0 c 0 0 b c
0 c 0 0 c 0
0 c 0 0 c a
0 c 0 0 c b
0 c 0 0 c c
0 c 0 a 0 0
0 c 0 a 0 a
0 c 0 a 0 b
0 c 0 a 0 c
0 c 0 a a 0
0 c 0 a a a
0 c 0 a a b
0 c 0 a a c
0 c 0 a b 0
0 c 0 a b a
0 c 0 a b b
0 c 0 a b c
0 c 0 a c 0
0 c 0 a c a
0 c 0 a c b
0 c 0 a c c
0 c 0 b 0 0
0 c 0 b 0 a
0 c 0 b 0 b
0 c 0 b 0 c
0 c 0 b a 0
0 c 0 b a a
0 c 0 b a b
0 c 0 b a c
0 c 0 b b 0
0 c 0 b b a
0 c 0 b b b
0 c 0 b b c
0 c 0 b c 0
0 c 0 b c a
0 c 0 b c b
0 c 0 b c c
0 c 0 c 0 0
0 c 0 c 0 a
0 c 0 c 0 b
0 c 0 c 0 c
0 c 0 c a 0
0 c 0 c a a
0 c 0 c a b
0 c 0 c a c
0 c 0 c b 0
0 c 0 c b a
0 c 0 c b b
0 c 0 c b c
0 c 0 c c 0
0 c 0 c c a
0 c 0 c c b
0 c 0 c c c
Is it a nice code?: No
Generator Matrix-143
a 0 a 0 0 0
b 0 b 0 0 0
0 c 0 0 0 c
0 0 c 0 0 c
0 0 0 c 0 c
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 c
0 0 0 c c c
0 0 c 0 0 c
0 0 c 0 c c
0 0 c c 0 0
0 0 c c c 0
0 c 0 0 0 c
0 c 0 0 c c
0 c 0 c 0 0
0 c 0 c c 0
0 c c 0 0 0
0 c c 0 c 0
0 c c c 0 c
0 c c c c c
b 0 b 0 0 0
b 0 b 0 c 0
b 0 b c 0 c
b 0 b c c c
b 0 a 0 0 c
b 0 a 0 c c
b 0 a c 0 0
b 0 a c c 0
b c b 0 0 c
b c b 0 c c
b c b c 0 0
b c b c c 0
b c a 0 0 0
b c a 0 c 0
b c a c 0 c
b c a c c c
a 0 a 0 0 0
a 0 a 0 c 0
a 0 a c 0 c
a 0 a c c c
a 0 b 0 0 c
a 0 b 0 c c
a 0 b c 0 0
a 0 b c c 0
a c a 0 0 c
a c a 0 c c
a c a c 0 0
a c a c c 0
a c b 0 0 0
a c b 0 c 0
a c b c 0 c
a c b c c c
c 0 c 0 0 0
c 0 c 0 c 0
c 0 c c 0 c
c 0 c c c c
c 0 0 0 0 c
c 0 0 0 c c
c 0 0 c 0 0
c 0 0 c c 0
c c c 0 0 c
c c c 0 c c
c c c c 0 0
c c c c c 0
c c 0 0 0 0
c c 0 0 c 0
c c 0 c 0 c
c c 0 c c c
dmin: 1
Weight Enumerator: 1x0 + 1x1 + 12x2 + 18x3 + 17x4 + 13x5 + 2x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)4 (X_b)2 + (X_0)3 (X_b)2 (X_c)1 + (X_0)2 (X_b)2 (X_c)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)2 (X_b)2 (X_c)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_a)1 (X_b)1 (X_c)4 + (X_0)4 (X_a)2 + (X_0)3 (X_a)2 (X_c)1 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_a)1 (X_b)1 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 a a 0
0 0 0 a a a
0 0 0 a a b
0 0 0 a a c
0 0 0 a b 0
0 0 0 a b a
0 0 0 a b b
0 0 0 a b c
0 0 0 a c 0
0 0 0 a c a
0 0 0 a c b
0 0 0 a c c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 b a 0
0 0 0 b a a
0 0 0 b a b
0 0 0 b a c
0 0 0 b b 0
0 0 0 b b a
0 0 0 b b b
0 0 0 b b c
0 0 0 b c 0
0 0 0 b c a
0 0 0 b c b
0 0 0 b c c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c
0 0 0 c a 0
0 0 0 c a a
0 0 0 c a b
0 0 0 c a c
0 0 0 c b 0
0 0 0 c b a
0 0 0 c b b
0 0 0 c b c
0 0 0 c c 0
0 0 0 c c a
0 0 0 c c b
0 0 0 c c c
0 a 0 0 0 0
0 a 0 0 0 a
0 a 0 0 0 b
0 a 0 0 0 c
0 a 0 0 a 0
0 a 0 0 a a
0 a 0 0 a b
0 a 0 0 a c
0 a 0 0 b 0
0 a 0 0 b a
0 a 0 0 b b
0 a 0 0 b c
0 a 0 0 c 0
0 a 0 0 c a
0 a 0 0 c b
0 a 0 0 c c
0 a 0 a 0 0
0 a 0 a 0 a
0 a 0 a 0 b
0 a 0 a 0 c
0 a 0 a a 0
0 a 0 a a a
0 a 0 a a b
0 a 0 a a c
0 a 0 a b 0
0 a 0 a b a
0 a 0 a b b
0 a 0 a b c
0 a 0 a c 0
0 a 0 a c a
0 a 0 a c b
0 a 0 a c c
0 a 0 b 0 0
0 a 0 b 0 a
0 a 0 b 0 b
0 a 0 b 0 c
0 a 0 b a 0
0 a 0 b a a
0 a 0 b a b
0 a 0 b a c
0 a 0 b b 0
0 a 0 b b a
0 a 0 b b b
0 a 0 b b c
0 a 0 b c 0
0 a 0 b c a
0 a 0 b c b
0 a 0 b c c
0 a 0 c 0 0
0 a 0 c 0 a
0 a 0 c 0 b
0 a 0 c 0 c
0 a 0 c a 0
0 a 0 c a a
0 a 0 c a b
0 a 0 c a c
0 a 0 c b 0
0 a 0 c b a
0 a 0 c b b
0 a 0 c b c
0 a 0 c c 0
0 a 0 c c a
0 a 0 c c b
0 a 0 c c c
0 b 0 0 0 0
0 b 0 0 0 a
0 b 0 0 0 b
0 b 0 0 0 c
0 b 0 0 a 0
0 b 0 0 a a
0 b 0 0 a b
0 b 0 0 a c
0 b 0 0 b 0
0 b 0 0 b a
0 b 0 0 b b
0 b 0 0 b c
0 b 0 0 c 0
0 b 0 0 c a
0 b 0 0 c b
0 b 0 0 c c
0 b 0 a 0 0
0 b 0 a 0 a
0 b 0 a 0 b
0 b 0 a 0 c
0 b 0 a a 0
0 b 0 a a a
0 b 0 a a b
0 b 0 a a c
0 b 0 a b 0
0 b 0 a b a
0 b 0 a b b
0 b 0 a b c
0 b 0 a c 0
0 b 0 a c a
0 b 0 a c b
0 b 0 a c c
0 b 0 b 0 0
0 b 0 b 0 a
0 b 0 b 0 b
0 b 0 b 0 c
0 b 0 b a 0
0 b 0 b a a
0 b 0 b a b
0 b 0 b a c
0 b 0 b b 0
0 b 0 b b a
0 b 0 b b b
0 b 0 b b c
0 b 0 b c 0
0 b 0 b c a
0 b 0 b c b
0 b 0 b c c
0 b 0 c 0 0
0 b 0 c 0 a
0 b 0 c 0 b
0 b 0 c 0 c
0 b 0 c a 0
0 b 0 c a a
0 b 0 c a b
0 b 0 c a c
0 b 0 c b 0
0 b 0 c b a
0 b 0 c b b
0 b 0 c b c
0 b 0 c c 0
0 b 0 c c a
0 b 0 c c b
0 b 0 c c c
0 c 0 0 0 0
0 c 0 0 0 a
0 c 0 0 0 b
0 c 0 0 0 c
0 c 0 0 a 0
0 c 0 0 a a
0 c 0 0 a b
0 c 0 0 a c
0 c 0 0 b 0
0 c 0 0 b a
0 c 0 0 b b
0 c 0 0 b c
0 c 0 0 c 0
0 c 0 0 c a
0 c 0 0 c b
0 c 0 0 c c
0 c 0 a 0 0
0 c 0 a 0 a
0 c 0 a 0 b
0 c 0 a 0 c
0 c 0 a a 0
0 c 0 a a a
0 c 0 a a b
0 c 0 a a c
0 c 0 a b 0
0 c 0 a b a
0 c 0 a b b
0 c 0 a b c
0 c 0 a c 0
0 c 0 a c a
0 c 0 a c b
0 c 0 a c c
0 c 0 b 0 0
0 c 0 b 0 a
0 c 0 b 0 b
0 c 0 b 0 c
0 c 0 b a 0
0 c 0 b a a
0 c 0 b a b
0 c 0 b a c
0 c 0 b b 0
0 c 0 b b a
0 c 0 b b b
0 c 0 b b c
0 c 0 b c 0
0 c 0 b c a
0 c 0 b c b
0 c 0 b c c
0 c 0 c 0 0
0 c 0 c 0 a
0 c 0 c 0 b
0 c 0 c 0 c
0 c 0 c a 0
0 c 0 c a a
0 c 0 c a b
0 c 0 c a c
0 c 0 c b 0
0 c 0 c b a
0 c 0 c b b
0 c 0 c b c
0 c 0 c c 0
0 c 0 c c a
0 c 0 c c b
0 c 0 c c c
Is it a nice code?: No
Generator Matrix-144
a 0 a 0 0 0
b 0 b 0 0 0
0 c 0 0 0 c
0 0 c 0 0 c
0 0 0 c 0 c
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 c
0 0 0 c c 0
0 0 c 0 0 c
0 0 c 0 c 0
0 0 c c 0 0
0 0 c c c c
0 c 0 0 0 c
0 c 0 0 c 0
0 c 0 c 0 0
0 c 0 c c c
0 c c 0 0 0
0 c c 0 c c
0 c c c 0 c
0 c c c c 0
b 0 b 0 0 0
b 0 b 0 c c
b 0 b c 0 c
b 0 b c c 0
b 0 a 0 0 c
b 0 a 0 c 0
b 0 a c 0 0
b 0 a c c c
b c b 0 0 c
b c b 0 c 0
b c b c 0 0
b c b c c c
b c a 0 0 0
b c a 0 c c
b c a c 0 c
b c a c c 0
a 0 a 0 0 0
a 0 a 0 c c
a 0 a c 0 c
a 0 a c c 0
a 0 b 0 0 c
a 0 b 0 c 0
a 0 b c 0 0
a 0 b c c c
a c a 0 0 c
a c a 0 c 0
a c a c 0 0
a c a c c c
a c b 0 0 0
a c b 0 c c
a c b c 0 c
a c b c c 0
c 0 c 0 0 0
c 0 c 0 c c
c 0 c c 0 c
c 0 c c c 0
c 0 0 0 0 c
c 0 0 0 c 0
c 0 0 c 0 0
c 0 0 c c c
c c c 0 0 c
c c c 0 c 0
c c c c 0 0
c c c c c c
c c 0 0 0 0
c c 0 0 c c
c c 0 c 0 c
c c 0 c c 0
dmin: 2
Weight Enumerator: 1x0 + 0x1 + 17x2 + 8x3 + 27x4 + 8x5 + 3x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_b)2 (X_c)2 + (X_b)2 (X_c)4 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)2 (X_c)2 + (X_a)2 (X_c)4 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_c)6 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 a a 0
0 0 0 a a a
0 0 0 a a b
0 0 0 a a c
0 0 0 a b 0
0 0 0 a b a
0 0 0 a b b
0 0 0 a b c
0 0 0 a c 0
0 0 0 a c a
0 0 0 a c b
0 0 0 a c c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 b a 0
0 0 0 b a a
0 0 0 b a b
0 0 0 b a c
0 0 0 b b 0
0 0 0 b b a
0 0 0 b b b
0 0 0 b b c
0 0 0 b c 0
0 0 0 b c a
0 0 0 b c b
0 0 0 b c c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c
0 0 0 c a 0
0 0 0 c a a
0 0 0 c a b
0 0 0 c a c
0 0 0 c b 0
0 0 0 c b a
0 0 0 c b b
0 0 0 c b c
0 0 0 c c 0
0 0 0 c c a
0 0 0 c c b
0 0 0 c c c
0 a 0 0 0 0
0 a 0 0 0 a
0 a 0 0 0 b
0 a 0 0 0 c
0 a 0 0 a 0
0 a 0 0 a a
0 a 0 0 a b
0 a 0 0 a c
0 a 0 0 b 0
0 a 0 0 b a
0 a 0 0 b b
0 a 0 0 b c
0 a 0 0 c 0
0 a 0 0 c a
0 a 0 0 c b
0 a 0 0 c c
0 a 0 a 0 0
0 a 0 a 0 a
0 a 0 a 0 b
0 a 0 a 0 c
0 a 0 a a 0
0 a 0 a a a
0 a 0 a a b
0 a 0 a a c
0 a 0 a b 0
0 a 0 a b a
0 a 0 a b b
0 a 0 a b c
0 a 0 a c 0
0 a 0 a c a
0 a 0 a c b
0 a 0 a c c
0 a 0 b 0 0
0 a 0 b 0 a
0 a 0 b 0 b
0 a 0 b 0 c
0 a 0 b a 0
0 a 0 b a a
0 a 0 b a b
0 a 0 b a c
0 a 0 b b 0
0 a 0 b b a
0 a 0 b b b
0 a 0 b b c
0 a 0 b c 0
0 a 0 b c a
0 a 0 b c b
0 a 0 b c c
0 a 0 c 0 0
0 a 0 c 0 a
0 a 0 c 0 b
0 a 0 c 0 c
0 a 0 c a 0
0 a 0 c a a
0 a 0 c a b
0 a 0 c a c
0 a 0 c b 0
0 a 0 c b a
0 a 0 c b b
0 a 0 c b c
0 a 0 c c 0
0 a 0 c c a
0 a 0 c c b
0 a 0 c c c
0 b 0 0 0 0
0 b 0 0 0 a
0 b 0 0 0 b
0 b 0 0 0 c
0 b 0 0 a 0
0 b 0 0 a a
0 b 0 0 a b
0 b 0 0 a c
0 b 0 0 b 0
0 b 0 0 b a
0 b 0 0 b b
0 b 0 0 b c
0 b 0 0 c 0
0 b 0 0 c a
0 b 0 0 c b
0 b 0 0 c c
0 b 0 a 0 0
0 b 0 a 0 a
0 b 0 a 0 b
0 b 0 a 0 c
0 b 0 a a 0
0 b 0 a a a
0 b 0 a a b
0 b 0 a a c
0 b 0 a b 0
0 b 0 a b a
0 b 0 a b b
0 b 0 a b c
0 b 0 a c 0
0 b 0 a c a
0 b 0 a c b
0 b 0 a c c
0 b 0 b 0 0
0 b 0 b 0 a
0 b 0 b 0 b
0 b 0 b 0 c
0 b 0 b a 0
0 b 0 b a a
0 b 0 b a b
0 b 0 b a c
0 b 0 b b 0
0 b 0 b b a
0 b 0 b b b
0 b 0 b b c
0 b 0 b c 0
0 b 0 b c a
0 b 0 b c b
0 b 0 b c c
0 b 0 c 0 0
0 b 0 c 0 a
0 b 0 c 0 b
0 b 0 c 0 c
0 b 0 c a 0
0 b 0 c a a
0 b 0 c a b
0 b 0 c a c
0 b 0 c b 0
0 b 0 c b a
0 b 0 c b b
0 b 0 c b c
0 b 0 c c 0
0 b 0 c c a
0 b 0 c c b
0 b 0 c c c
0 c 0 0 0 0
0 c 0 0 0 a
0 c 0 0 0 b
0 c 0 0 0 c
0 c 0 0 a 0
0 c 0 0 a a
0 c 0 0 a b
0 c 0 0 a c
0 c 0 0 b 0
0 c 0 0 b a
0 c 0 0 b b
0 c 0 0 b c
0 c 0 0 c 0
0 c 0 0 c a
0 c 0 0 c b
0 c 0 0 c c
0 c 0 a 0 0
0 c 0 a 0 a
0 c 0 a 0 b
0 c 0 a 0 c
0 c 0 a a 0
0 c 0 a a a
0 c 0 a a b
0 c 0 a a c
0 c 0 a b 0
0 c 0 a b a
0 c 0 a b b
0 c 0 a b c
0 c 0 a c 0
0 c 0 a c a
0 c 0 a c b
0 c 0 a c c
0 c 0 b 0 0
0 c 0 b 0 a
0 c 0 b 0 b
0 c 0 b 0 c
0 c 0 b a 0
0 c 0 b a a
0 c 0 b a b
0 c 0 b a c
0 c 0 b b 0
0 c 0 b b a
0 c 0 b b b
0 c 0 b b c
0 c 0 b c 0
0 c 0 b c a
0 c 0 b c b
0 c 0 b c c
0 c 0 c 0 0
0 c 0 c 0 a
0 c 0 c 0 b
0 c 0 c 0 c
0 c 0 c a 0
0 c 0 c a a
0 c 0 c a b
0 c 0 c a c
0 c 0 c b 0
0 c 0 c b a
0 c 0 c b b
0 c 0 c b c
0 c 0 c c 0
0 c 0 c c a
0 c 0 c c b
0 c 0 c c c
Is it a nice code?: No
Generator Matrix-145
a 0 a 0 0 a
b 0 b 0 0 b
0 c 0 0 0 0
0 0 c 0 0 0
0 0 0 c 0 0
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 0
0 0 0 c c 0
0 0 c 0 0 0
0 0 c 0 c 0
0 0 c c 0 0
0 0 c c c 0
0 c 0 0 0 0
0 c 0 0 c 0
0 c 0 c 0 0
0 c 0 c c 0
0 c c 0 0 0
0 c c 0 c 0
0 c c c 0 0
0 c c c c 0
b 0 b 0 0 b
b 0 b 0 c b
b 0 b c 0 b
b 0 b c c b
b 0 a 0 0 b
b 0 a 0 c b
b 0 a c 0 b
b 0 a c c b
b c b 0 0 b
b c b 0 c b
b c b c 0 b
b c b c c b
b c a 0 0 b
b c a 0 c b
b c a c 0 b
b c a c c b
a 0 a 0 0 a
a 0 a 0 c a
a 0 a c 0 a
a 0 a c c a
a 0 b 0 0 a
a 0 b 0 c a
a 0 b c 0 a
a 0 b c c a
a c a 0 0 a
a c a 0 c a
a c a c 0 a
a c a c c a
a c b 0 0 a
a c b 0 c a
a c b c 0 a
a c b c c a
c 0 c 0 0 c
c 0 c 0 c c
c 0 c c 0 c
c 0 c c c c
c 0 0 0 0 c
c 0 0 0 c c
c 0 0 c 0 c
c 0 0 c c c
c c c 0 0 c
c c c 0 c c
c c c c 0 c
c c c c c c
c c 0 0 0 c
c c 0 0 c c
c c 0 c 0 c
c c 0 c c c
dmin: 1
Weight Enumerator: 1x0 + 4x1 + 7x2 + 12x3 + 19x4 + 16x5 + 5x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_b)3 + (X_0)2 (X_b)3 (X_c)1 + (X_0)2 (X_b)3 (X_c)1 + (X_0)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)1 (X_b)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_b)3 (X_c)1 + (X_0)1 (X_b)3 (X_c)2 + (X_0)1 (X_b)3 (X_c)2 + (X_b)3 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)3 + (X_0)2 (X_a)3 (X_c)1 + (X_0)2 (X_a)3 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_0)3 (X_a)2 (X_b)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)3 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)3 (X_c)2 + (X_a)3 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5 + (X_c)6 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 0 a 0 0
0 0 0 a a 0
0 0 0 a b 0
0 0 0 a c 0
0 0 0 b 0 0
0 0 0 b a 0
0 0 0 b b 0
0 0 0 b c 0
0 0 0 c 0 0
0 0 0 c a 0
0 0 0 c b 0
0 0 0 c c 0
0 a 0 0 0 0
0 a 0 0 a 0
0 a 0 0 b 0
0 a 0 0 c 0
0 a 0 a 0 0
0 a 0 a a 0
0 a 0 a b 0
0 a 0 a c 0
0 a 0 b 0 0
0 a 0 b a 0
0 a 0 b b 0
0 a 0 b c 0
0 a 0 c 0 0
0 a 0 c a 0
0 a 0 c b 0
0 a 0 c c 0
0 b 0 0 0 0
0 b 0 0 a 0
0 b 0 0 b 0
0 b 0 0 c 0
0 b 0 a 0 0
0 b 0 a a 0
0 b 0 a b 0
0 b 0 a c 0
0 b 0 b 0 0
0 b 0 b a 0
0 b 0 b b 0
0 b 0 b c 0
0 b 0 c 0 0
0 b 0 c a 0
0 b 0 c b 0
0 b 0 c c 0
0 c 0 0 0 0
0 c 0 0 a 0
0 c 0 0 b 0
0 c 0 0 c 0
0 c 0 a 0 0
0 c 0 a a 0
0 c 0 a b 0
0 c 0 a c 0
0 c 0 b 0 0
0 c 0 b a 0
0 c 0 b b 0
0 c 0 b c 0
0 c 0 c 0 0
0 c 0 c a 0
0 c 0 c b 0
0 c 0 c c 0
Is it a nice code?: Yes
Generator Matrix-146
a 0 a 0 0 a
b 0 b 0 0 b
0 c 0 0 0 0
0 0 c 0 0 0
0 0 0 c 0 0
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 0
0 0 0 c c c
0 0 c 0 0 0
0 0 c 0 c c
0 0 c c 0 0
0 0 c c c c
0 c 0 0 0 0
0 c 0 0 c c
0 c 0 c 0 0
0 c 0 c c c
0 c c 0 0 0
0 c c 0 c c
0 c c c 0 0
0 c c c c c
b 0 b 0 0 b
b 0 b 0 c a
b 0 b c 0 b
b 0 b c c a
b 0 a 0 0 b
b 0 a 0 c a
b 0 a c 0 b
b 0 a c c a
b c b 0 0 b
b c b 0 c a
b c b c 0 b
b c b c c a
b c a 0 0 b
b c a 0 c a
b c a c 0 b
b c a c c a
a 0 a 0 0 a
a 0 a 0 c b
a 0 a c 0 a
a 0 a c c b
a 0 b 0 0 a
a 0 b 0 c b
a 0 b c 0 a
a 0 b c c b
a c a 0 0 a
a c a 0 c b
a c a c 0 a
a c a c c b
a c b 0 0 a
a c b 0 c b
a c b c 0 a
a c b c c b
c 0 c 0 0 c
c 0 c 0 c 0
c 0 c c 0 c
c 0 c c c 0
c 0 0 0 0 c
c 0 0 0 c 0
c 0 0 c 0 c
c 0 0 c c 0
c c c 0 0 c
c c c 0 c 0
c c c c 0 c
c c c c c 0
c c 0 0 0 c
c c 0 0 c 0
c c 0 c 0 c
c c 0 c c 0
dmin: 1
Weight Enumerator: 1x0 + 3x1 + 6x2 + 14x3 + 21x4 + 15x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)1 (X_b)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_b)3 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)2 (X_b)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 0 a 0 0
0 0 0 a a 0
0 0 0 a b 0
0 0 0 a c 0
0 0 0 b 0 0
0 0 0 b a 0
0 0 0 b b 0
0 0 0 b c 0
0 0 0 c 0 0
0 0 0 c a 0
0 0 0 c b 0
0 0 0 c c 0
0 a 0 0 0 0
0 a 0 0 a 0
0 a 0 0 b 0
0 a 0 0 c 0
0 a 0 a 0 0
0 a 0 a a 0
0 a 0 a b 0
0 a 0 a c 0
0 a 0 b 0 0
0 a 0 b a 0
0 a 0 b b 0
0 a 0 b c 0
0 a 0 c 0 0
0 a 0 c a 0
0 a 0 c b 0
0 a 0 c c 0
0 b 0 0 0 0
0 b 0 0 a 0
0 b 0 0 b 0
0 b 0 0 c 0
0 b 0 a 0 0
0 b 0 a a 0
0 b 0 a b 0
0 b 0 a c 0
0 b 0 b 0 0
0 b 0 b a 0
0 b 0 b b 0
0 b 0 b c 0
0 b 0 c 0 0
0 b 0 c a 0
0 b 0 c b 0
0 b 0 c c 0
0 c 0 0 0 0
0 c 0 0 a 0
0 c 0 0 b 0
0 c 0 0 c 0
0 c 0 a 0 0
0 c 0 a a 0
0 c 0 a b 0
0 c 0 a c 0
0 c 0 b 0 0
0 c 0 b a 0
0 c 0 b b 0
0 c 0 b c 0
0 c 0 c 0 0
0 c 0 c a 0
0 c 0 c b 0
0 c 0 c c 0
Is it a nice code?: Yes
Generator Matrix-147
a 0 a 0 0 a
b 0 b 0 0 b
0 c 0 0 0 0
0 0 c 0 0 0
0 0 0 c 0 c
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 c
0 0 0 c c c
0 0 c 0 0 0
0 0 c 0 c 0
0 0 c c 0 c
0 0 c c c c
0 c 0 0 0 0
0 c 0 0 c 0
0 c 0 c 0 c
0 c 0 c c c
0 c c 0 0 0
0 c c 0 c 0
0 c c c 0 c
0 c c c c c
b 0 b 0 0 b
b 0 b 0 c b
b 0 b c 0 a
b 0 b c c a
b 0 a 0 0 b
b 0 a 0 c b
b 0 a c 0 a
b 0 a c c a
b c b 0 0 b
b c b 0 c b
b c b c 0 a
b c b c c a
b c a 0 0 b
b c a 0 c b
b c a c 0 a
b c a c c a
a 0 a 0 0 a
a 0 a 0 c a
a 0 a c 0 b
a 0 a c c b
a 0 b 0 0 a
a 0 b 0 c a
a 0 b c 0 b
a 0 b c c b
a c a 0 0 a
a c a 0 c a
a c a c 0 b
a c a c c b
a c b 0 0 a
a c b 0 c a
a c b c 0 b
a c b c c b
c 0 c 0 0 c
c 0 c 0 c c
c 0 c c 0 0
c 0 c c c 0
c 0 0 0 0 c
c 0 0 0 c c
c 0 0 c 0 0
c 0 0 c c 0
c c c 0 0 c
c c c 0 c c
c c c c 0 0
c c c c c 0
c c 0 0 0 c
c c 0 0 c c
c c 0 c 0 0
c c 0 c c 0
dmin: 1
Weight Enumerator: 1x0 + 3x1 + 6x2 + 14x3 + 21x4 + 15x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)3 (X_b)3 + (X_0)2 (X_b)3 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)1 (X_b)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_b)3 (X_c)1 + (X_0)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_a)3 + (X_0)2 (X_a)3 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)2 (X_b)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)3 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 0 a 0 0
0 0 0 a a 0
0 0 0 a b 0
0 0 0 a c 0
0 0 0 b 0 0
0 0 0 b a 0
0 0 0 b b 0
0 0 0 b c 0
0 0 0 c 0 0
0 0 0 c a 0
0 0 0 c b 0
0 0 0 c c 0
0 a 0 0 0 0
0 a 0 0 a 0
0 a 0 0 b 0
0 a 0 0 c 0
0 a 0 a 0 0
0 a 0 a a 0
0 a 0 a b 0
0 a 0 a c 0
0 a 0 b 0 0
0 a 0 b a 0
0 a 0 b b 0
0 a 0 b c 0
0 a 0 c 0 0
0 a 0 c a 0
0 a 0 c b 0
0 a 0 c c 0
0 b 0 0 0 0
0 b 0 0 a 0
0 b 0 0 b 0
0 b 0 0 c 0
0 b 0 a 0 0
0 b 0 a a 0
0 b 0 a b 0
0 b 0 a c 0
0 b 0 b 0 0
0 b 0 b a 0
0 b 0 b b 0
0 b 0 b c 0
0 b 0 c 0 0
0 b 0 c a 0
0 b 0 c b 0
0 b 0 c c 0
0 c 0 0 0 0
0 c 0 0 a 0
0 c 0 0 b 0
0 c 0 0 c 0
0 c 0 a 0 0
0 c 0 a a 0
0 c 0 a b 0
0 c 0 a c 0
0 c 0 b 0 0
0 c 0 b a 0
0 c 0 b b 0
0 c 0 b c 0
0 c 0 c 0 0
0 c 0 c a 0
0 c 0 c b 0
0 c 0 c c 0
Is it a nice code?: Yes
Generator Matrix-148
a 0 a 0 0 a
b 0 b 0 0 b
0 c 0 0 0 0
0 0 c 0 0 0
0 0 0 c 0 c
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 c
0 0 0 c c 0
0 0 c 0 0 0
0 0 c 0 c c
0 0 c c 0 c
0 0 c c c 0
0 c 0 0 0 0
0 c 0 0 c c
0 c 0 c 0 c
0 c 0 c c 0
0 c c 0 0 0
0 c c 0 c c
0 c c c 0 c
0 c c c c 0
b 0 b 0 0 b
b 0 b 0 c a
b 0 b c 0 a
b 0 b c c b
b 0 a 0 0 b
b 0 a 0 c a
b 0 a c 0 a
b 0 a c c b
b c b 0 0 b
b c b 0 c a
b c b c 0 a
b c b c c b
b c a 0 0 b
b c a 0 c a
b c a c 0 a
b c a c c b
a 0 a 0 0 a
a 0 a 0 c b
a 0 a c 0 b
a 0 a c c a
a 0 b 0 0 a
a 0 b 0 c b
a 0 b c 0 b
a 0 b c c a
a c a 0 0 a
a c a 0 c b
a c a c 0 b
a c a c c a
a c b 0 0 a
a c b 0 c b
a c b c 0 b
a c b c c a
c 0 c 0 0 c
c 0 c 0 c 0
c 0 c c 0 0
c 0 c c c c
c 0 0 0 0 c
c 0 0 0 c 0
c 0 0 c 0 0
c 0 0 c c c
c c c 0 0 c
c c c 0 c 0
c c c c 0 0
c c c c c c
c c 0 0 0 c
c c 0 0 c 0
c c 0 c 0 0
c c 0 c c c
dmin: 1
Weight Enumerator: 1x0 + 2x1 + 7x2 + 16x3 + 19x4 + 14x5 + 5x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)1 (X_b)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_b)3 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_0)3 (X_a)2 (X_b)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)3 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_c)6 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 0 a 0 0
0 0 0 a a 0
0 0 0 a b 0
0 0 0 a c 0
0 0 0 b 0 0
0 0 0 b a 0
0 0 0 b b 0
0 0 0 b c 0
0 0 0 c 0 0
0 0 0 c a 0
0 0 0 c b 0
0 0 0 c c 0
0 a 0 0 0 0
0 a 0 0 a 0
0 a 0 0 b 0
0 a 0 0 c 0
0 a 0 a 0 0
0 a 0 a a 0
0 a 0 a b 0
0 a 0 a c 0
0 a 0 b 0 0
0 a 0 b a 0
0 a 0 b b 0
0 a 0 b c 0
0 a 0 c 0 0
0 a 0 c a 0
0 a 0 c b 0
0 a 0 c c 0
0 b 0 0 0 0
0 b 0 0 a 0
0 b 0 0 b 0
0 b 0 0 c 0
0 b 0 a 0 0
0 b 0 a a 0
0 b 0 a b 0
0 b 0 a c 0
0 b 0 b 0 0
0 b 0 b a 0
0 b 0 b b 0
0 b 0 b c 0
0 b 0 c 0 0
0 b 0 c a 0
0 b 0 c b 0
0 b 0 c c 0
0 c 0 0 0 0
0 c 0 0 a 0
0 c 0 0 b 0
0 c 0 0 c 0
0 c 0 a 0 0
0 c 0 a a 0
0 c 0 a b 0
0 c 0 a c 0
0 c 0 b 0 0
0 c 0 b a 0
0 c 0 b b 0
0 c 0 b c 0
0 c 0 c 0 0
0 c 0 c a 0
0 c 0 c b 0
0 c 0 c c 0
Is it a nice code?: Yes
Generator Matrix-149
a 0 a 0 0 a
b 0 b 0 0 b
0 c 0 0 0 0
0 0 c 0 0 c
0 0 0 c 0 0
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 0
0 0 0 c c 0
0 0 c 0 0 c
0 0 c 0 c c
0 0 c c 0 c
0 0 c c c c
0 c 0 0 0 0
0 c 0 0 c 0
0 c 0 c 0 0
0 c 0 c c 0
0 c c 0 0 c
0 c c 0 c c
0 c c c 0 c
0 c c c c c
b 0 b 0 0 b
b 0 b 0 c b
b 0 b c 0 b
b 0 b c c b
b 0 a 0 0 a
b 0 a 0 c a
b 0 a c 0 a
b 0 a c c a
b c b 0 0 b
b c b 0 c b
b c b c 0 b
b c b c c b
b c a 0 0 a
b c a 0 c a
b c a c 0 a
b c a c c a
a 0 a 0 0 a
a 0 a 0 c a
a 0 a c 0 a
a 0 a c c a
a 0 b 0 0 b
a 0 b 0 c b
a 0 b c 0 b
a 0 b c c b
a c a 0 0 a
a c a 0 c a
a c a c 0 a
a c a c c a
a c b 0 0 b
a c b 0 c b
a c b c 0 b
a c b c c b
c 0 c 0 0 c
c 0 c 0 c c
c 0 c c 0 c
c 0 c c c c
c 0 0 0 0 0
c 0 0 0 c 0
c 0 0 c 0 0
c 0 0 c c 0
c c c 0 0 c
c c c 0 c c
c c c c 0 c
c c c c c c
c c 0 0 0 0
c c 0 0 c 0
c c 0 c 0 0
c c 0 c c 0
dmin: 1
Weight Enumerator: 1x0 + 4x1 + 7x2 + 12x3 + 19x4 + 16x5 + 5x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)3 (X_b)3 + (X_0)2 (X_b)3 (X_c)1 + (X_0)2 (X_b)3 (X_c)1 + (X_0)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)2 (X_b)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_b)3 (X_c)1 + (X_0)1 (X_b)3 (X_c)2 + (X_0)1 (X_b)3 (X_c)2 + (X_b)3 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_a)3 + (X_0)2 (X_a)3 (X_c)1 + (X_0)2 (X_a)3 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_0)3 (X_a)1 (X_b)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)3 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)3 (X_c)2 + (X_a)3 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5 + (X_c)6 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 0 a 0 0
0 0 0 a a 0
0 0 0 a b 0
0 0 0 a c 0
0 0 0 b 0 0
0 0 0 b a 0
0 0 0 b b 0
0 0 0 b c 0
0 0 0 c 0 0
0 0 0 c a 0
0 0 0 c b 0
0 0 0 c c 0
0 a 0 0 0 0
0 a 0 0 a 0
0 a 0 0 b 0
0 a 0 0 c 0
0 a 0 a 0 0
0 a 0 a a 0
0 a 0 a b 0
0 a 0 a c 0
0 a 0 b 0 0
0 a 0 b a 0
0 a 0 b b 0
0 a 0 b c 0
0 a 0 c 0 0
0 a 0 c a 0
0 a 0 c b 0
0 a 0 c c 0
0 b 0 0 0 0
0 b 0 0 a 0
0 b 0 0 b 0
0 b 0 0 c 0
0 b 0 a 0 0
0 b 0 a a 0
0 b 0 a b 0
0 b 0 a c 0
0 b 0 b 0 0
0 b 0 b a 0
0 b 0 b b 0
0 b 0 b c 0
0 b 0 c 0 0
0 b 0 c a 0
0 b 0 c b 0
0 b 0 c c 0
0 c 0 0 0 0
0 c 0 0 a 0
0 c 0 0 b 0
0 c 0 0 c 0
0 c 0 a 0 0
0 c 0 a a 0
0 c 0 a b 0
0 c 0 a c 0
0 c 0 b 0 0
0 c 0 b a 0
0 c 0 b b 0
0 c 0 b c 0
0 c 0 c 0 0
0 c 0 c a 0
0 c 0 c b 0
0 c 0 c c 0
Is it a nice code?: Yes
Generator Matrix-150
a 0 a 0 0 a
b 0 b 0 0 b
0 c 0 0 0 0
0 0 c 0 0 c
0 0 0 c 0 0
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 0
0 0 0 c c c
0 0 c 0 0 c
0 0 c 0 c 0
0 0 c c 0 c
0 0 c c c 0
0 c 0 0 0 0
0 c 0 0 c c
0 c 0 c 0 0
0 c 0 c c c
0 c c 0 0 c
0 c c 0 c 0
0 c c c 0 c
0 c c c c 0
b 0 b 0 0 b
b 0 b 0 c a
b 0 b c 0 b
b 0 b c c a
b 0 a 0 0 a
b 0 a 0 c b
b 0 a c 0 a
b 0 a c c b
b c b 0 0 b
b c b 0 c a
b c b c 0 b
b c b c c a
b c a 0 0 a
b c a 0 c b
b c a c 0 a
b c a c c b
a 0 a 0 0 a
a 0 a 0 c b
a 0 a c 0 a
a 0 a c c b
a 0 b 0 0 b
a 0 b 0 c a
a 0 b c 0 b
a 0 b c c a
a c a 0 0 a
a c a 0 c b
a c a c 0 a
a c a c c b
a c b 0 0 b
a c b 0 c a
a c b c 0 b
a c b c c a
c 0 c 0 0 c
c 0 c 0 c 0
c 0 c c 0 c
c 0 c c c 0
c 0 0 0 0 0
c 0 0 0 c c
c 0 0 c 0 0
c 0 0 c c c
c c c 0 0 c
c c c 0 c 0
c c c c 0 c
c c c c c 0
c c 0 0 0 0
c c 0 0 c c
c c 0 c 0 0
c c 0 c c c
dmin: 1
Weight Enumerator: 1x0 + 3x1 + 6x2 + 14x3 + 21x4 + 15x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)2 (X_b)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_b)3 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)1 (X_b)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 0 a 0 0
0 0 0 a a 0
0 0 0 a b 0
0 0 0 a c 0
0 0 0 b 0 0
0 0 0 b a 0
0 0 0 b b 0
0 0 0 b c 0
0 0 0 c 0 0
0 0 0 c a 0
0 0 0 c b 0
0 0 0 c c 0
0 a 0 0 0 0
0 a 0 0 a 0
0 a 0 0 b 0
0 a 0 0 c 0
0 a 0 a 0 0
0 a 0 a a 0
0 a 0 a b 0
0 a 0 a c 0
0 a 0 b 0 0
0 a 0 b a 0
0 a 0 b b 0
0 a 0 b c 0
0 a 0 c 0 0
0 a 0 c a 0
0 a 0 c b 0
0 a 0 c c 0
0 b 0 0 0 0
0 b 0 0 a 0
0 b 0 0 b 0
0 b 0 0 c 0
0 b 0 a 0 0
0 b 0 a a 0
0 b 0 a b 0
0 b 0 a c 0
0 b 0 b 0 0
0 b 0 b a 0
0 b 0 b b 0
0 b 0 b c 0
0 b 0 c 0 0
0 b 0 c a 0
0 b 0 c b 0
0 b 0 c c 0
0 c 0 0 0 0
0 c 0 0 a 0
0 c 0 0 b 0
0 c 0 0 c 0
0 c 0 a 0 0
0 c 0 a a 0
0 c 0 a b 0
0 c 0 a c 0
0 c 0 b 0 0
0 c 0 b a 0
0 c 0 b b 0
0 c 0 b c 0
0 c 0 c 0 0
0 c 0 c a 0
0 c 0 c b 0
0 c 0 c c 0
Is it a nice code?: Yes
Generator Matrix-151
a 0 a 0 0 a
b 0 b 0 0 b
0 c 0 0 0 0
0 0 c 0 0 c
0 0 0 c 0 c
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 c
0 0 0 c c c
0 0 c 0 0 c
0 0 c 0 c c
0 0 c c 0 0
0 0 c c c 0
0 c 0 0 0 0
0 c 0 0 c 0
0 c 0 c 0 c
0 c 0 c c c
0 c c 0 0 c
0 c c 0 c c
0 c c c 0 0
0 c c c c 0
b 0 b 0 0 b
b 0 b 0 c b
b 0 b c 0 a
b 0 b c c a
b 0 a 0 0 a
b 0 a 0 c a
b 0 a c 0 b
b 0 a c c b
b c b 0 0 b
b c b 0 c b
b c b c 0 a
b c b c c a
b c a 0 0 a
b c a 0 c a
b c a c 0 b
b c a c c b
a 0 a 0 0 a
a 0 a 0 c a
a 0 a c 0 b
a 0 a c c b
a 0 b 0 0 b
a 0 b 0 c b
a 0 b c 0 a
a 0 b c c a
a c a 0 0 a
a c a 0 c a
a c a c 0 b
a c a c c b
a c b 0 0 b
a c b 0 c b
a c b c 0 a
a c b c c a
c 0 c 0 0 c
c 0 c 0 c c
c 0 c c 0 0
c 0 c c c 0
c 0 0 0 0 0
c 0 0 0 c 0
c 0 0 c 0 c
c 0 0 c c c
c c c 0 0 c
c c c 0 c c
c c c c 0 0
c c c c c 0
c c 0 0 0 0
c c 0 0 c 0
c c 0 c 0 c
c c 0 c c c
dmin: 1
Weight Enumerator: 1x0 + 3x1 + 6x2 + 14x3 + 21x4 + 15x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_b)3 + (X_0)2 (X_b)3 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)2 (X_b)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_b)3 (X_c)1 + (X_0)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)3 + (X_0)2 (X_a)3 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)1 (X_b)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)3 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 0 a 0 0
0 0 0 a a 0
0 0 0 a b 0
0 0 0 a c 0
0 0 0 b 0 0
0 0 0 b a 0
0 0 0 b b 0
0 0 0 b c 0
0 0 0 c 0 0
0 0 0 c a 0
0 0 0 c b 0
0 0 0 c c 0
0 a 0 0 0 0
0 a 0 0 a 0
0 a 0 0 b 0
0 a 0 0 c 0
0 a 0 a 0 0
0 a 0 a a 0
0 a 0 a b 0
0 a 0 a c 0
0 a 0 b 0 0
0 a 0 b a 0
0 a 0 b b 0
0 a 0 b c 0
0 a 0 c 0 0
0 a 0 c a 0
0 a 0 c b 0
0 a 0 c c 0
0 b 0 0 0 0
0 b 0 0 a 0
0 b 0 0 b 0
0 b 0 0 c 0
0 b 0 a 0 0
0 b 0 a a 0
0 b 0 a b 0
0 b 0 a c 0
0 b 0 b 0 0
0 b 0 b a 0
0 b 0 b b 0
0 b 0 b c 0
0 b 0 c 0 0
0 b 0 c a 0
0 b 0 c b 0
0 b 0 c c 0
0 c 0 0 0 0
0 c 0 0 a 0
0 c 0 0 b 0
0 c 0 0 c 0
0 c 0 a 0 0
0 c 0 a a 0
0 c 0 a b 0
0 c 0 a c 0
0 c 0 b 0 0
0 c 0 b a 0
0 c 0 b b 0
0 c 0 b c 0
0 c 0 c 0 0
0 c 0 c a 0
0 c 0 c b 0
0 c 0 c c 0
Is it a nice code?: Yes
Generator Matrix-152
a 0 a 0 0 a
b 0 b 0 0 b
0 c 0 0 0 0
0 0 c 0 0 c
0 0 0 c 0 c
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 c
0 0 0 c c 0
0 0 c 0 0 c
0 0 c 0 c 0
0 0 c c 0 0
0 0 c c c c
0 c 0 0 0 0
0 c 0 0 c c
0 c 0 c 0 c
0 c 0 c c 0
0 c c 0 0 c
0 c c 0 c 0
0 c c c 0 0
0 c c c c c
b 0 b 0 0 b
b 0 b 0 c a
b 0 b c 0 a
b 0 b c c b
b 0 a 0 0 a
b 0 a 0 c b
b 0 a c 0 b
b 0 a c c a
b c b 0 0 b
b c b 0 c a
b c b c 0 a
b c b c c b
b c a 0 0 a
b c a 0 c b
b c a c 0 b
b c a c c a
a 0 a 0 0 a
a 0 a 0 c b
a 0 a c 0 b
a 0 a c c a
a 0 b 0 0 b
a 0 b 0 c a
a 0 b c 0 a
a 0 b c c b
a c a 0 0 a
a c a 0 c b
a c a c 0 b
a c a c c a
a c b 0 0 b
a c b 0 c a
a c b c 0 a
a c b c c b
c 0 c 0 0 c
c 0 c 0 c 0
c 0 c c 0 0
c 0 c c c c
c 0 0 0 0 0
c 0 0 0 c c
c 0 0 c 0 c
c 0 0 c c 0
c c c 0 0 c
c c c 0 c 0
c c c c 0 0
c c c c c c
c c 0 0 0 0
c c 0 0 c c
c c 0 c 0 c
c c 0 c c 0
dmin: 1
Weight Enumerator: 1x0 + 2x1 + 7x2 + 16x3 + 19x4 + 14x5 + 5x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)2 (X_b)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_b)3 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_0)3 (X_a)1 (X_b)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)3 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_c)6 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 0 a 0 0
0 0 0 a a 0
0 0 0 a b 0
0 0 0 a c 0
0 0 0 b 0 0
0 0 0 b a 0
0 0 0 b b 0
0 0 0 b c 0
0 0 0 c 0 0
0 0 0 c a 0
0 0 0 c b 0
0 0 0 c c 0
0 a 0 0 0 0
0 a 0 0 a 0
0 a 0 0 b 0
0 a 0 0 c 0
0 a 0 a 0 0
0 a 0 a a 0
0 a 0 a b 0
0 a 0 a c 0
0 a 0 b 0 0
0 a 0 b a 0
0 a 0 b b 0
0 a 0 b c 0
0 a 0 c 0 0
0 a 0 c a 0
0 a 0 c b 0
0 a 0 c c 0
0 b 0 0 0 0
0 b 0 0 a 0
0 b 0 0 b 0
0 b 0 0 c 0
0 b 0 a 0 0
0 b 0 a a 0
0 b 0 a b 0
0 b 0 a c 0
0 b 0 b 0 0
0 b 0 b a 0
0 b 0 b b 0
0 b 0 b c 0
0 b 0 c 0 0
0 b 0 c a 0
0 b 0 c b 0
0 b 0 c c 0
0 c 0 0 0 0
0 c 0 0 a 0
0 c 0 0 b 0
0 c 0 0 c 0
0 c 0 a 0 0
0 c 0 a a 0
0 c 0 a b 0
0 c 0 a c 0
0 c 0 b 0 0
0 c 0 b a 0
0 c 0 b b 0
0 c 0 b c 0
0 c 0 c 0 0
0 c 0 c a 0
0 c 0 c b 0
0 c 0 c c 0
Is it a nice code?: Yes
Generator Matrix-153
a 0 a 0 0 a
b 0 b 0 0 b
0 c 0 0 0 c
0 0 c 0 0 0
0 0 0 c 0 0
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 0
0 0 0 c c 0
0 0 c 0 0 0
0 0 c 0 c 0
0 0 c c 0 0
0 0 c c c 0
0 c 0 0 0 c
0 c 0 0 c c
0 c 0 c 0 c
0 c 0 c c c
0 c c 0 0 c
0 c c 0 c c
0 c c c 0 c
0 c c c c c
b 0 b 0 0 b
b 0 b 0 c b
b 0 b c 0 b
b 0 b c c b
b 0 a 0 0 b
b 0 a 0 c b
b 0 a c 0 b
b 0 a c c b
b c b 0 0 a
b c b 0 c a
b c b c 0 a
b c b c c a
b c a 0 0 a
b c a 0 c a
b c a c 0 a
b c a c c a
a 0 a 0 0 a
a 0 a 0 c a
a 0 a c 0 a
a 0 a c c a
a 0 b 0 0 a
a 0 b 0 c a
a 0 b c 0 a
a 0 b c c a
a c a 0 0 b
a c a 0 c b
a c a c 0 b
a c a c c b
a c b 0 0 b
a c b 0 c b
a c b c 0 b
a c b c c b
c 0 c 0 0 c
c 0 c 0 c c
c 0 c c 0 c
c 0 c c c c
c 0 0 0 0 c
c 0 0 0 c c
c 0 0 c 0 c
c 0 0 c c c
c c c 0 0 0
c c c 0 c 0
c c c c 0 0
c c c c c 0
c c 0 0 0 0
c c 0 0 c 0
c c 0 c 0 0
c c 0 c c 0
dmin: 1
Weight Enumerator: 1x0 + 3x1 + 6x2 + 14x3 + 21x4 + 15x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)3 (X_b)3 + (X_0)2 (X_b)3 (X_c)1 + (X_0)2 (X_b)3 (X_c)1 + (X_0)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)1 (X_b)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_a)3 + (X_0)2 (X_a)3 (X_c)1 + (X_0)2 (X_a)3 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_0)3 (X_a)2 (X_b)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 0 a 0 0
0 0 0 a a 0
0 0 0 a b 0
0 0 0 a c 0
0 0 0 b 0 0
0 0 0 b a 0
0 0 0 b b 0
0 0 0 b c 0
0 0 0 c 0 0
0 0 0 c a 0
0 0 0 c b 0
0 0 0 c c 0
0 a 0 0 0 0
0 a 0 0 a 0
0 a 0 0 b 0
0 a 0 0 c 0
0 a 0 a 0 0
0 a 0 a a 0
0 a 0 a b 0
0 a 0 a c 0
0 a 0 b 0 0
0 a 0 b a 0
0 a 0 b b 0
0 a 0 b c 0
0 a 0 c 0 0
0 a 0 c a 0
0 a 0 c b 0
0 a 0 c c 0
0 b 0 0 0 0
0 b 0 0 a 0
0 b 0 0 b 0
0 b 0 0 c 0
0 b 0 a 0 0
0 b 0 a a 0
0 b 0 a b 0
0 b 0 a c 0
0 b 0 b 0 0
0 b 0 b a 0
0 b 0 b b 0
0 b 0 b c 0
0 b 0 c 0 0
0 b 0 c a 0
0 b 0 c b 0
0 b 0 c c 0
0 c 0 0 0 0
0 c 0 0 a 0
0 c 0 0 b 0
0 c 0 0 c 0
0 c 0 a 0 0
0 c 0 a a 0
0 c 0 a b 0
0 c 0 a c 0
0 c 0 b 0 0
0 c 0 b a 0
0 c 0 b b 0
0 c 0 b c 0
0 c 0 c 0 0
0 c 0 c a 0
0 c 0 c b 0
0 c 0 c c 0
Is it a nice code?: Yes
Generator Matrix-154
a 0 a 0 0 a
b 0 b 0 0 b
0 c 0 0 0 c
0 0 c 0 0 0
0 0 0 c 0 0
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 0
0 0 0 c c c
0 0 c 0 0 0
0 0 c 0 c c
0 0 c c 0 0
0 0 c c c c
0 c 0 0 0 c
0 c 0 0 c 0
0 c 0 c 0 c
0 c 0 c c 0
0 c c 0 0 c
0 c c 0 c 0
0 c c c 0 c
0 c c c c 0
b 0 b 0 0 b
b 0 b 0 c a
b 0 b c 0 b
b 0 b c c a
b 0 a 0 0 b
b 0 a 0 c a
b 0 a c 0 b
b 0 a c c a
b c b 0 0 a
b c b 0 c b
b c b c 0 a
b c b c c b
b c a 0 0 a
b c a 0 c b
b c a c 0 a
b c a c c b
a 0 a 0 0 a
a 0 a 0 c b
a 0 a c 0 a
a 0 a c c b
a 0 b 0 0 a
a 0 b 0 c b
a 0 b c 0 a
a 0 b c c b
a c a 0 0 b
a c a 0 c a
a c a c 0 b
a c a c c a
a c b 0 0 b
a c b 0 c a
a c b c 0 b
a c b c c a
c 0 c 0 0 c
c 0 c 0 c 0
c 0 c c 0 c
c 0 c c c 0
c 0 0 0 0 c
c 0 0 0 c 0
c 0 0 c 0 c
c 0 0 c c 0
c c c 0 0 0
c c c 0 c c
c c c c 0 0
c c c c c c
c c 0 0 0 0
c c 0 0 c c
c c 0 c 0 0
c c 0 c c c
dmin: 1
Weight Enumerator: 1x0 + 2x1 + 7x2 + 16x3 + 19x4 + 14x5 + 5x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)1 (X_b)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_b)3 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)2 (X_b)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)3 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_c)6 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 0 a 0 0
0 0 0 a a 0
0 0 0 a b 0
0 0 0 a c 0
0 0 0 b 0 0
0 0 0 b a 0
0 0 0 b b 0
0 0 0 b c 0
0 0 0 c 0 0
0 0 0 c a 0
0 0 0 c b 0
0 0 0 c c 0
0 a 0 0 0 0
0 a 0 0 a 0
0 a 0 0 b 0
0 a 0 0 c 0
0 a 0 a 0 0
0 a 0 a a 0
0 a 0 a b 0
0 a 0 a c 0
0 a 0 b 0 0
0 a 0 b a 0
0 a 0 b b 0
0 a 0 b c 0
0 a 0 c 0 0
0 a 0 c a 0
0 a 0 c b 0
0 a 0 c c 0
0 b 0 0 0 0
0 b 0 0 a 0
0 b 0 0 b 0
0 b 0 0 c 0
0 b 0 a 0 0
0 b 0 a a 0
0 b 0 a b 0
0 b 0 a c 0
0 b 0 b 0 0
0 b 0 b a 0
0 b 0 b b 0
0 b 0 b c 0
0 b 0 c 0 0
0 b 0 c a 0
0 b 0 c b 0
0 b 0 c c 0
0 c 0 0 0 0
0 c 0 0 a 0
0 c 0 0 b 0
0 c 0 0 c 0
0 c 0 a 0 0
0 c 0 a a 0
0 c 0 a b 0
0 c 0 a c 0
0 c 0 b 0 0
0 c 0 b a 0
0 c 0 b b 0
0 c 0 b c 0
0 c 0 c 0 0
0 c 0 c a 0
0 c 0 c b 0
0 c 0 c c 0
Is it a nice code?: Yes
Generator Matrix-155
a 0 a 0 0 a
b 0 b 0 0 b
0 c 0 0 0 c
0 0 c 0 0 0
0 0 0 c 0 c
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 c
0 0 0 c c c
0 0 c 0 0 0
0 0 c 0 c 0
0 0 c c 0 c
0 0 c c c c
0 c 0 0 0 c
0 c 0 0 c c
0 c 0 c 0 0
0 c 0 c c 0
0 c c 0 0 c
0 c c 0 c c
0 c c c 0 0
0 c c c c 0
b 0 b 0 0 b
b 0 b 0 c b
b 0 b c 0 a
b 0 b c c a
b 0 a 0 0 b
b 0 a 0 c b
b 0 a c 0 a
b 0 a c c a
b c b 0 0 a
b c b 0 c a
b c b c 0 b
b c b c c b
b c a 0 0 a
b c a 0 c a
b c a c 0 b
b c a c c b
a 0 a 0 0 a
a 0 a 0 c a
a 0 a c 0 b
a 0 a c c b
a 0 b 0 0 a
a 0 b 0 c a
a 0 b c 0 b
a 0 b c c b
a c a 0 0 b
a c a 0 c b
a c a c 0 a
a c a c c a
a c b 0 0 b
a c b 0 c b
a c b c 0 a
a c b c c a
c 0 c 0 0 c
c 0 c 0 c c
c 0 c c 0 0
c 0 c c c 0
c 0 0 0 0 c
c 0 0 0 c c
c 0 0 c 0 0
c 0 0 c c 0
c c c 0 0 0
c c c 0 c 0
c c c c 0 c
c c c c c c
c c 0 0 0 0
c c 0 0 c 0
c c 0 c 0 c
c c 0 c c c
dmin: 1
Weight Enumerator: 1x0 + 2x1 + 7x2 + 16x3 + 19x4 + 14x5 + 5x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_b)3 + (X_0)2 (X_b)3 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)1 (X_b)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_b)3 (X_c)2 + (X_b)3 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)3 + (X_0)2 (X_a)3 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)2 (X_b)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_c)2 + (X_a)3 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_c)6 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 0 a 0 0
0 0 0 a a 0
0 0 0 a b 0
0 0 0 a c 0
0 0 0 b 0 0
0 0 0 b a 0
0 0 0 b b 0
0 0 0 b c 0
0 0 0 c 0 0
0 0 0 c a 0
0 0 0 c b 0
0 0 0 c c 0
0 a 0 0 0 0
0 a 0 0 a 0
0 a 0 0 b 0
0 a 0 0 c 0
0 a 0 a 0 0
0 a 0 a a 0
0 a 0 a b 0
0 a 0 a c 0
0 a 0 b 0 0
0 a 0 b a 0
0 a 0 b b 0
0 a 0 b c 0
0 a 0 c 0 0
0 a 0 c a 0
0 a 0 c b 0
0 a 0 c c 0
0 b 0 0 0 0
0 b 0 0 a 0
0 b 0 0 b 0
0 b 0 0 c 0
0 b 0 a 0 0
0 b 0 a a 0
0 b 0 a b 0
0 b 0 a c 0
0 b 0 b 0 0
0 b 0 b a 0
0 b 0 b b 0
0 b 0 b c 0
0 b 0 c 0 0
0 b 0 c a 0
0 b 0 c b 0
0 b 0 c c 0
0 c 0 0 0 0
0 c 0 0 a 0
0 c 0 0 b 0
0 c 0 0 c 0
0 c 0 a 0 0
0 c 0 a a 0
0 c 0 a b 0
0 c 0 a c 0
0 c 0 b 0 0
0 c 0 b a 0
0 c 0 b b 0
0 c 0 b c 0
0 c 0 c 0 0
0 c 0 c a 0
0 c 0 c b 0
0 c 0 c c 0
Is it a nice code?: Yes
Generator Matrix-156
a 0 a 0 0 a
b 0 b 0 0 b
0 c 0 0 0 c
0 0 c 0 0 0
0 0 0 c 0 c
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 c
0 0 0 c c 0
0 0 c 0 0 0
0 0 c 0 c c
0 0 c c 0 c
0 0 c c c 0
0 c 0 0 0 c
0 c 0 0 c 0
0 c 0 c 0 0
0 c 0 c c c
0 c c 0 0 c
0 c c 0 c 0
0 c c c 0 0
0 c c c c c
b 0 b 0 0 b
b 0 b 0 c a
b 0 b c 0 a
b 0 b c c b
b 0 a 0 0 b
b 0 a 0 c a
b 0 a c 0 a
b 0 a c c b
b c b 0 0 a
b c b 0 c b
b c b c 0 b
b c b c c a
b c a 0 0 a
b c a 0 c b
b c a c 0 b
b c a c c a
a 0 a 0 0 a
a 0 a 0 c b
a 0 a c 0 b
a 0 a c c a
a 0 b 0 0 a
a 0 b 0 c b
a 0 b c 0 b
a 0 b c c a
a c a 0 0 b
a c a 0 c a
a c a c 0 a
a c a c c b
a c b 0 0 b
a c b 0 c a
a c b c 0 a
a c b c c b
c 0 c 0 0 c
c 0 c 0 c 0
c 0 c c 0 0
c 0 c c c c
c 0 0 0 0 c
c 0 0 0 c 0
c 0 0 c 0 0
c 0 0 c c c
c c c 0 0 0
c c c 0 c c
c c c c 0 c
c c c c c 0
c c 0 0 0 0
c c 0 0 c c
c c 0 c 0 c
c c 0 c c 0
dmin: 1
Weight Enumerator: 1x0 + 1x1 + 10x2 + 14x3 + 17x4 + 17x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)1 (X_b)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_b)3 (X_c)2 + (X_0)1 (X_b)3 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_0)3 (X_a)2 (X_b)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)3 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 0 a 0 0
0 0 0 a a 0
0 0 0 a b 0
0 0 0 a c 0
0 0 0 b 0 0
0 0 0 b a 0
0 0 0 b b 0
0 0 0 b c 0
0 0 0 c 0 0
0 0 0 c a 0
0 0 0 c b 0
0 0 0 c c 0
0 a 0 0 0 0
0 a 0 0 a 0
0 a 0 0 b 0
0 a 0 0 c 0
0 a 0 a 0 0
0 a 0 a a 0
0 a 0 a b 0
0 a 0 a c 0
0 a 0 b 0 0
0 a 0 b a 0
0 a 0 b b 0
0 a 0 b c 0
0 a 0 c 0 0
0 a 0 c a 0
0 a 0 c b 0
0 a 0 c c 0
0 b 0 0 0 0
0 b 0 0 a 0
0 b 0 0 b 0
0 b 0 0 c 0
0 b 0 a 0 0
0 b 0 a a 0
0 b 0 a b 0
0 b 0 a c 0
0 b 0 b 0 0
0 b 0 b a 0
0 b 0 b b 0
0 b 0 b c 0
0 b 0 c 0 0
0 b 0 c a 0
0 b 0 c b 0
0 b 0 c c 0
0 c 0 0 0 0
0 c 0 0 a 0
0 c 0 0 b 0
0 c 0 0 c 0
0 c 0 a 0 0
0 c 0 a a 0
0 c 0 a b 0
0 c 0 a c 0
0 c 0 b 0 0
0 c 0 b a 0
0 c 0 b b 0
0 c 0 b c 0
0 c 0 c 0 0
0 c 0 c a 0
0 c 0 c b 0
0 c 0 c c 0
Is it a nice code?: Yes
Generator Matrix-157
a 0 a 0 0 a
b 0 b 0 0 b
0 c 0 0 0 c
0 0 c 0 0 c
0 0 0 c 0 0
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 0
0 0 0 c c 0
0 0 c 0 0 c
0 0 c 0 c c
0 0 c c 0 c
0 0 c c c c
0 c 0 0 0 c
0 c 0 0 c c
0 c 0 c 0 c
0 c 0 c c c
0 c c 0 0 0
0 c c 0 c 0
0 c c c 0 0
0 c c c c 0
b 0 b 0 0 b
b 0 b 0 c b
b 0 b c 0 b
b 0 b c c b
b 0 a 0 0 a
b 0 a 0 c a
b 0 a c 0 a
b 0 a c c a
b c b 0 0 a
b c b 0 c a
b c b c 0 a
b c b c c a
b c a 0 0 b
b c a 0 c b
b c a c 0 b
b c a c c b
a 0 a 0 0 a
a 0 a 0 c a
a 0 a c 0 a
a 0 a c c a
a 0 b 0 0 b
a 0 b 0 c b
a 0 b c 0 b
a 0 b c c b
a c a 0 0 b
a c a 0 c b
a c a c 0 b
a c a c c b
a c b 0 0 a
a c b 0 c a
a c b c 0 a
a c b c c a
c 0 c 0 0 c
c 0 c 0 c c
c 0 c c 0 c
c 0 c c c c
c 0 0 0 0 0
c 0 0 0 c 0
c 0 0 c 0 0
c 0 0 c c 0
c c c 0 0 0
c c c 0 c 0
c c c c 0 0
c c c c c 0
c c 0 0 0 c
c c 0 0 c c
c c 0 c 0 c
c c 0 c c c
dmin: 1
Weight Enumerator: 1x0 + 3x1 + 6x2 + 14x3 + 21x4 + 15x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_b)3 + (X_0)2 (X_b)3 (X_c)1 + (X_0)2 (X_b)3 (X_c)1 + (X_0)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)2 (X_b)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)3 + (X_0)2 (X_a)3 (X_c)1 + (X_0)2 (X_a)3 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_0)3 (X_a)1 (X_b)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 0 a 0 0
0 0 0 a a 0
0 0 0 a b 0
0 0 0 a c 0
0 0 0 b 0 0
0 0 0 b a 0
0 0 0 b b 0
0 0 0 b c 0
0 0 0 c 0 0
0 0 0 c a 0
0 0 0 c b 0
0 0 0 c c 0
0 a 0 0 0 0
0 a 0 0 a 0
0 a 0 0 b 0
0 a 0 0 c 0
0 a 0 a 0 0
0 a 0 a a 0
0 a 0 a b 0
0 a 0 a c 0
0 a 0 b 0 0
0 a 0 b a 0
0 a 0 b b 0
0 a 0 b c 0
0 a 0 c 0 0
0 a 0 c a 0
0 a 0 c b 0
0 a 0 c c 0
0 b 0 0 0 0
0 b 0 0 a 0
0 b 0 0 b 0
0 b 0 0 c 0
0 b 0 a 0 0
0 b 0 a a 0
0 b 0 a b 0
0 b 0 a c 0
0 b 0 b 0 0
0 b 0 b a 0
0 b 0 b b 0
0 b 0 b c 0
0 b 0 c 0 0
0 b 0 c a 0
0 b 0 c b 0
0 b 0 c c 0
0 c 0 0 0 0
0 c 0 0 a 0
0 c 0 0 b 0
0 c 0 0 c 0
0 c 0 a 0 0
0 c 0 a a 0
0 c 0 a b 0
0 c 0 a c 0
0 c 0 b 0 0
0 c 0 b a 0
0 c 0 b b 0
0 c 0 b c 0
0 c 0 c 0 0
0 c 0 c a 0
0 c 0 c b 0
0 c 0 c c 0
Is it a nice code?: Yes
Generator Matrix-158
a 0 a 0 0 a
b 0 b 0 0 b
0 c 0 0 0 c
0 0 c 0 0 c
0 0 0 c 0 0
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 0
0 0 0 c c c
0 0 c 0 0 c
0 0 c 0 c 0
0 0 c c 0 c
0 0 c c c 0
0 c 0 0 0 c
0 c 0 0 c 0
0 c 0 c 0 c
0 c 0 c c 0
0 c c 0 0 0
0 c c 0 c c
0 c c c 0 0
0 c c c c c
b 0 b 0 0 b
b 0 b 0 c a
b 0 b c 0 b
b 0 b c c a
b 0 a 0 0 a
b 0 a 0 c b
b 0 a c 0 a
b 0 a c c b
b c b 0 0 a
b c b 0 c b
b c b c 0 a
b c b c c b
b c a 0 0 b
b c a 0 c a
b c a c 0 b
b c a c c a
a 0 a 0 0 a
a 0 a 0 c b
a 0 a c 0 a
a 0 a c c b
a 0 b 0 0 b
a 0 b 0 c a
a 0 b c 0 b
a 0 b c c a
a c a 0 0 b
a c a 0 c a
a c a c 0 b
a c a c c a
a c b 0 0 a
a c b 0 c b
a c b c 0 a
a c b c c b
c 0 c 0 0 c
c 0 c 0 c 0
c 0 c c 0 c
c 0 c c c 0
c 0 0 0 0 0
c 0 0 0 c c
c 0 0 c 0 0
c 0 0 c c c
c c c 0 0 0
c c c 0 c c
c c c c 0 0
c c c c c c
c c 0 0 0 c
c c 0 0 c 0
c c 0 c 0 c
c c 0 c c 0
dmin: 1
Weight Enumerator: 1x0 + 2x1 + 7x2 + 16x3 + 19x4 + 14x5 + 5x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)2 (X_b)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_b)3 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)1 (X_b)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)3 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_c)6 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 0 a 0 0
0 0 0 a a 0
0 0 0 a b 0
0 0 0 a c 0
0 0 0 b 0 0
0 0 0 b a 0
0 0 0 b b 0
0 0 0 b c 0
0 0 0 c 0 0
0 0 0 c a 0
0 0 0 c b 0
0 0 0 c c 0
0 a 0 0 0 0
0 a 0 0 a 0
0 a 0 0 b 0
0 a 0 0 c 0
0 a 0 a 0 0
0 a 0 a a 0
0 a 0 a b 0
0 a 0 a c 0
0 a 0 b 0 0
0 a 0 b a 0
0 a 0 b b 0
0 a 0 b c 0
0 a 0 c 0 0
0 a 0 c a 0
0 a 0 c b 0
0 a 0 c c 0
0 b 0 0 0 0
0 b 0 0 a 0
0 b 0 0 b 0
0 b 0 0 c 0
0 b 0 a 0 0
0 b 0 a a 0
0 b 0 a b 0
0 b 0 a c 0
0 b 0 b 0 0
0 b 0 b a 0
0 b 0 b b 0
0 b 0 b c 0
0 b 0 c 0 0
0 b 0 c a 0
0 b 0 c b 0
0 b 0 c c 0
0 c 0 0 0 0
0 c 0 0 a 0
0 c 0 0 b 0
0 c 0 0 c 0
0 c 0 a 0 0
0 c 0 a a 0
0 c 0 a b 0
0 c 0 a c 0
0 c 0 b 0 0
0 c 0 b a 0
0 c 0 b b 0
0 c 0 b c 0
0 c 0 c 0 0
0 c 0 c a 0
0 c 0 c b 0
0 c 0 c c 0
Is it a nice code?: Yes
Generator Matrix-159
a 0 a 0 0 a
b 0 b 0 0 b
0 c 0 0 0 c
0 0 c 0 0 c
0 0 0 c 0 c
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 c
0 0 0 c c c
0 0 c 0 0 c
0 0 c 0 c c
0 0 c c 0 0
0 0 c c c 0
0 c 0 0 0 c
0 c 0 0 c c
0 c 0 c 0 0
0 c 0 c c 0
0 c c 0 0 0
0 c c 0 c 0
0 c c c 0 c
0 c c c c c
b 0 b 0 0 b
b 0 b 0 c b
b 0 b c 0 a
b 0 b c c a
b 0 a 0 0 a
b 0 a 0 c a
b 0 a c 0 b
b 0 a c c b
b c b 0 0 a
b c b 0 c a
b c b c 0 b
b c b c c b
b c a 0 0 b
b c a 0 c b
b c a c 0 a
b c a c c a
a 0 a 0 0 a
a 0 a 0 c a
a 0 a c 0 b
a 0 a c c b
a 0 b 0 0 b
a 0 b 0 c b
a 0 b c 0 a
a 0 b c c a
a c a 0 0 b
a c a 0 c b
a c a c 0 a
a c a c c a
a c b 0 0 a
a c b 0 c a
a c b c 0 b
a c b c c b
c 0 c 0 0 c
c 0 c 0 c c
c 0 c c 0 0
c 0 c c c 0
c 0 0 0 0 0
c 0 0 0 c 0
c 0 0 c 0 c
c 0 0 c c c
c c c 0 0 0
c c c 0 c 0
c c c c 0 c
c c c c c c
c c 0 0 0 c
c c 0 0 c c
c c 0 c 0 0
c c 0 c c 0
dmin: 1
Weight Enumerator: 1x0 + 2x1 + 7x2 + 16x3 + 19x4 + 14x5 + 5x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)3 (X_b)3 + (X_0)2 (X_b)3 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)2 (X_b)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_b)3 (X_c)2 + (X_b)3 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_a)3 + (X_0)2 (X_a)3 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)1 (X_b)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_c)2 + (X_a)3 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_c)6 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 0 a 0 0
0 0 0 a a 0
0 0 0 a b 0
0 0 0 a c 0
0 0 0 b 0 0
0 0 0 b a 0
0 0 0 b b 0
0 0 0 b c 0
0 0 0 c 0 0
0 0 0 c a 0
0 0 0 c b 0
0 0 0 c c 0
0 a 0 0 0 0
0 a 0 0 a 0
0 a 0 0 b 0
0 a 0 0 c 0
0 a 0 a 0 0
0 a 0 a a 0
0 a 0 a b 0
0 a 0 a c 0
0 a 0 b 0 0
0 a 0 b a 0
0 a 0 b b 0
0 a 0 b c 0
0 a 0 c 0 0
0 a 0 c a 0
0 a 0 c b 0
0 a 0 c c 0
0 b 0 0 0 0
0 b 0 0 a 0
0 b 0 0 b 0
0 b 0 0 c 0
0 b 0 a 0 0
0 b 0 a a 0
0 b 0 a b 0
0 b 0 a c 0
0 b 0 b 0 0
0 b 0 b a 0
0 b 0 b b 0
0 b 0 b c 0
0 b 0 c 0 0
0 b 0 c a 0
0 b 0 c b 0
0 b 0 c c 0
0 c 0 0 0 0
0 c 0 0 a 0
0 c 0 0 b 0
0 c 0 0 c 0
0 c 0 a 0 0
0 c 0 a a 0
0 c 0 a b 0
0 c 0 a c 0
0 c 0 b 0 0
0 c 0 b a 0
0 c 0 b b 0
0 c 0 b c 0
0 c 0 c 0 0
0 c 0 c a 0
0 c 0 c b 0
0 c 0 c c 0
Is it a nice code?: Yes
Generator Matrix-160
a 0 a 0 0 a
b 0 b 0 0 b
0 c 0 0 0 c
0 0 c 0 0 c
0 0 0 c 0 c
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 c
0 0 0 c c 0
0 0 c 0 0 c
0 0 c 0 c 0
0 0 c c 0 0
0 0 c c c c
0 c 0 0 0 c
0 c 0 0 c 0
0 c 0 c 0 0
0 c 0 c c c
0 c c 0 0 0
0 c c 0 c c
0 c c c 0 c
0 c c c c 0
b 0 b 0 0 b
b 0 b 0 c a
b 0 b c 0 a
b 0 b c c b
b 0 a 0 0 a
b 0 a 0 c b
b 0 a c 0 b
b 0 a c c a
b c b 0 0 a
b c b 0 c b
b c b c 0 b
b c b c c a
b c a 0 0 b
b c a 0 c a
b c a c 0 a
b c a c c b
a 0 a 0 0 a
a 0 a 0 c b
a 0 a c 0 b
a 0 a c c a
a 0 b 0 0 b
a 0 b 0 c a
a 0 b c 0 a
a 0 b c c b
a c a 0 0 b
a c a 0 c a
a c a c 0 a
a c a c c b
a c b 0 0 a
a c b 0 c b
a c b c 0 b
a c b c c a
c 0 c 0 0 c
c 0 c 0 c 0
c 0 c c 0 0
c 0 c c c c
c 0 0 0 0 0
c 0 0 0 c c
c 0 0 c 0 c
c 0 0 c c 0
c c c 0 0 0
c c c 0 c c
c c c c 0 c
c c c c c 0
c c 0 0 0 c
c c 0 0 c 0
c c 0 c 0 0
c c 0 c c c
dmin: 1
Weight Enumerator: 1x0 + 1x1 + 10x2 + 14x3 + 17x4 + 17x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)2 (X_b)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_b)3 (X_c)2 + (X_0)1 (X_b)3 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_0)3 (X_a)1 (X_b)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)3 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 0 a 0 0
0 0 0 a a 0
0 0 0 a b 0
0 0 0 a c 0
0 0 0 b 0 0
0 0 0 b a 0
0 0 0 b b 0
0 0 0 b c 0
0 0 0 c 0 0
0 0 0 c a 0
0 0 0 c b 0
0 0 0 c c 0
0 a 0 0 0 0
0 a 0 0 a 0
0 a 0 0 b 0
0 a 0 0 c 0
0 a 0 a 0 0
0 a 0 a a 0
0 a 0 a b 0
0 a 0 a c 0
0 a 0 b 0 0
0 a 0 b a 0
0 a 0 b b 0
0 a 0 b c 0
0 a 0 c 0 0
0 a 0 c a 0
0 a 0 c b 0
0 a 0 c c 0
0 b 0 0 0 0
0 b 0 0 a 0
0 b 0 0 b 0
0 b 0 0 c 0
0 b 0 a 0 0
0 b 0 a a 0
0 b 0 a b 0
0 b 0 a c 0
0 b 0 b 0 0
0 b 0 b a 0
0 b 0 b b 0
0 b 0 b c 0
0 b 0 c 0 0
0 b 0 c a 0
0 b 0 c b 0
0 b 0 c c 0
0 c 0 0 0 0
0 c 0 0 a 0
0 c 0 0 b 0
0 c 0 0 c 0
0 c 0 a 0 0
0 c 0 a a 0
0 c 0 a b 0
0 c 0 a c 0
0 c 0 b 0 0
0 c 0 b a 0
0 c 0 b b 0
0 c 0 b c 0
0 c 0 c 0 0
0 c 0 c a 0
0 c 0 c b 0
0 c 0 c c 0
Is it a nice code?: Yes
Generator Matrix-161
a 0 a 0 a 0
b 0 b 0 b 0
0 c 0 0 0 0
0 0 c 0 0 0
0 0 0 c 0 0
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 0
0 0 0 c c 0
0 0 c 0 0 0
0 0 c 0 c 0
0 0 c c 0 0
0 0 c c c 0
0 c 0 0 0 0
0 c 0 0 c 0
0 c 0 c 0 0
0 c 0 c c 0
0 c c 0 0 0
0 c c 0 c 0
0 c c c 0 0
0 c c c c 0
b 0 b 0 b 0
b 0 b 0 a 0
b 0 b c b 0
b 0 b c a 0
b 0 a 0 b 0
b 0 a 0 a 0
b 0 a c b 0
b 0 a c a 0
b c b 0 b 0
b c b 0 a 0
b c b c b 0
b c b c a 0
b c a 0 b 0
b c a 0 a 0
b c a c b 0
b c a c a 0
a 0 a 0 a 0
a 0 a 0 b 0
a 0 a c a 0
a 0 a c b 0
a 0 b 0 a 0
a 0 b 0 b 0
a 0 b c a 0
a 0 b c b 0
a c a 0 a 0
a c a 0 b 0
a c a c a 0
a c a c b 0
a c b 0 a 0
a c b 0 b 0
a c b c a 0
a c b c b 0
c 0 c 0 c 0
c 0 c 0 0 0
c 0 c c c 0
c 0 c c 0 0
c 0 0 0 c 0
c 0 0 0 0 0
c 0 0 c c 0
c 0 0 c 0 0
c c c 0 c 0
c c c 0 0 0
c c c c c 0
c c c c 0 0
c c 0 0 c 0
c c 0 0 0 0
c c 0 c c 0
c c 0 c 0 0
dmin: 1
Weight Enumerator: 1x0 + 5x1 + 10x2 + 18x3 + 21x4 + 9x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_b)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)2 (X_b)3 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_a)1 (X_b)2 + (X_0)3 (X_a)2 (X_b)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_b)3 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)2 (X_a)3 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_a)2 (X_b)1 + (X_0)3 (X_a)1 (X_b)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)3 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c
0 a 0 0 0 0
0 a 0 0 0 a
0 a 0 0 0 b
0 a 0 0 0 c
0 a 0 a 0 0
0 a 0 a 0 a
0 a 0 a 0 b
0 a 0 a 0 c
0 a 0 b 0 0
0 a 0 b 0 a
0 a 0 b 0 b
0 a 0 b 0 c
0 a 0 c 0 0
0 a 0 c 0 a
0 a 0 c 0 b
0 a 0 c 0 c
0 b 0 0 0 0
0 b 0 0 0 a
0 b 0 0 0 b
0 b 0 0 0 c
0 b 0 a 0 0
0 b 0 a 0 a
0 b 0 a 0 b
0 b 0 a 0 c
0 b 0 b 0 0
0 b 0 b 0 a
0 b 0 b 0 b
0 b 0 b 0 c
0 b 0 c 0 0
0 b 0 c 0 a
0 b 0 c 0 b
0 b 0 c 0 c
0 c 0 0 0 0
0 c 0 0 0 a
0 c 0 0 0 b
0 c 0 0 0 c
0 c 0 a 0 0
0 c 0 a 0 a
0 c 0 a 0 b
0 c 0 a 0 c
0 c 0 b 0 0
0 c 0 b 0 a
0 c 0 b 0 b
0 c 0 b 0 c
0 c 0 c 0 0
0 c 0 c 0 a
0 c 0 c 0 b
0 c 0 c 0 c
Is it a nice code?: Yes
Generator Matrix-162
a 0 a 0 a 0
b 0 b 0 b 0
0 c 0 0 0 0
0 0 c 0 0 0
0 0 0 c 0 0
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 0
0 0 0 c c c
0 0 c 0 0 0
0 0 c 0 c c
0 0 c c 0 0
0 0 c c c c
0 c 0 0 0 0
0 c 0 0 c c
0 c 0 c 0 0
0 c 0 c c c
0 c c 0 0 0
0 c c 0 c c
0 c c c 0 0
0 c c c c c
b 0 b 0 b 0
b 0 b 0 a c
b 0 b c b 0
b 0 b c a c
b 0 a 0 b 0
b 0 a 0 a c
b 0 a c b 0
b 0 a c a c
b c b 0 b 0
b c b 0 a c
b c b c b 0
b c b c a c
b c a 0 b 0
b c a 0 a c
b c a c b 0
b c a c a c
a 0 a 0 a 0
a 0 a 0 b c
a 0 a c a 0
a 0 a c b c
a 0 b 0 a 0
a 0 b 0 b c
a 0 b c a 0
a 0 b c b c
a c a 0 a 0
a c a 0 b c
a c a c a 0
a c a c b c
a c b 0 a 0
a c b 0 b c
a c b c a 0
a c b c b c
c 0 c 0 c 0
c 0 c 0 0 c
c 0 c c c 0
c 0 c c 0 c
c 0 0 0 c 0
c 0 0 0 0 c
c 0 0 c c 0
c 0 0 c 0 c
c c c 0 c 0
c c c 0 0 c
c c c c c 0
c c c c 0 c
c c 0 0 c 0
c c 0 0 0 c
c c 0 c c 0
c c 0 c 0 c
dmin: 1
Weight Enumerator: 1x0 + 3x1 + 6x2 + 14x3 + 21x4 + 15x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)1 (X_b)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_b)3 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)2 (X_b)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c
0 a 0 0 0 0
0 a 0 0 0 a
0 a 0 0 0 b
0 a 0 0 0 c
0 a 0 a 0 0
0 a 0 a 0 a
0 a 0 a 0 b
0 a 0 a 0 c
0 a 0 b 0 0
0 a 0 b 0 a
0 a 0 b 0 b
0 a 0 b 0 c
0 a 0 c 0 0
0 a 0 c 0 a
0 a 0 c 0 b
0 a 0 c 0 c
0 b 0 0 0 0
0 b 0 0 0 a
0 b 0 0 0 b
0 b 0 0 0 c
0 b 0 a 0 0
0 b 0 a 0 a
0 b 0 a 0 b
0 b 0 a 0 c
0 b 0 b 0 0
0 b 0 b 0 a
0 b 0 b 0 b
0 b 0 b 0 c
0 b 0 c 0 0
0 b 0 c 0 a
0 b 0 c 0 b
0 b 0 c 0 c
0 c 0 0 0 0
0 c 0 0 0 a
0 c 0 0 0 b
0 c 0 0 0 c
0 c 0 a 0 0
0 c 0 a 0 a
0 c 0 a 0 b
0 c 0 a 0 c
0 c 0 b 0 0
0 c 0 b 0 a
0 c 0 b 0 b
0 c 0 b 0 c
0 c 0 c 0 0
0 c 0 c 0 a
0 c 0 c 0 b
0 c 0 c 0 c
Is it a nice code?: Yes
Generator Matrix-163
a 0 a 0 a 0
b 0 b 0 b 0
0 c 0 0 0 0
0 0 c 0 0 0
0 0 0 c 0 c
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 c
0 0 0 c c c
0 0 c 0 0 0
0 0 c 0 c 0
0 0 c c 0 c
0 0 c c c c
0 c 0 0 0 0
0 c 0 0 c 0
0 c 0 c 0 c
0 c 0 c c c
0 c c 0 0 0
0 c c 0 c 0
0 c c c 0 c
0 c c c c c
b 0 b 0 b 0
b 0 b 0 a 0
b 0 b c b c
b 0 b c a c
b 0 a 0 b 0
b 0 a 0 a 0
b 0 a c b c
b 0 a c a c
b c b 0 b 0
b c b 0 a 0
b c b c b c
b c b c a c
b c a 0 b 0
b c a 0 a 0
b c a c b c
b c a c a c
a 0 a 0 a 0
a 0 a 0 b 0
a 0 a c a c
a 0 a c b c
a 0 b 0 a 0
a 0 b 0 b 0
a 0 b c a c
a 0 b c b c
a c a 0 a 0
a c a 0 b 0
a c a c a c
a c a c b c
a c b 0 a 0
a c b 0 b 0
a c b c a c
a c b c b c
c 0 c 0 c 0
c 0 c 0 0 0
c 0 c c c c
c 0 c c 0 c
c 0 0 0 c 0
c 0 0 0 0 0
c 0 0 c c c
c 0 0 c 0 c
c c c 0 c 0
c c c 0 0 0
c c c c c c
c c c c 0 c
c c 0 0 c 0
c c 0 0 0 0
c c 0 c c c
c c 0 c 0 c
dmin: 1
Weight Enumerator: 1x0 + 4x1 + 7x2 + 16x3 + 15x4 + 12x5 + 9x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)3 (X_b)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)1 (X_b)2 + (X_0)3 (X_a)2 (X_b)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_b)3 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_b)3 (X_c)3 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_a)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)2 (X_b)1 + (X_0)3 (X_a)1 (X_b)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)3 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)3 (X_c)3 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_c)6 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c
0 a 0 0 0 0
0 a 0 0 0 a
0 a 0 0 0 b
0 a 0 0 0 c
0 a 0 a 0 0
0 a 0 a 0 a
0 a 0 a 0 b
0 a 0 a 0 c
0 a 0 b 0 0
0 a 0 b 0 a
0 a 0 b 0 b
0 a 0 b 0 c
0 a 0 c 0 0
0 a 0 c 0 a
0 a 0 c 0 b
0 a 0 c 0 c
0 b 0 0 0 0
0 b 0 0 0 a
0 b 0 0 0 b
0 b 0 0 0 c
0 b 0 a 0 0
0 b 0 a 0 a
0 b 0 a 0 b
0 b 0 a 0 c
0 b 0 b 0 0
0 b 0 b 0 a
0 b 0 b 0 b
0 b 0 b 0 c
0 b 0 c 0 0
0 b 0 c 0 a
0 b 0 c 0 b
0 b 0 c 0 c
0 c 0 0 0 0
0 c 0 0 0 a
0 c 0 0 0 b
0 c 0 0 0 c
0 c 0 a 0 0
0 c 0 a 0 a
0 c 0 a 0 b
0 c 0 a 0 c
0 c 0 b 0 0
0 c 0 b 0 a
0 c 0 b 0 b
0 c 0 b 0 c
0 c 0 c 0 0
0 c 0 c 0 a
0 c 0 c 0 b
0 c 0 c 0 c
Is it a nice code?: Yes
Generator Matrix-164
a 0 a 0 a 0
b 0 b 0 b 0
0 c 0 0 0 0
0 0 c 0 0 0
0 0 0 c 0 c
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 c
0 0 0 c c 0
0 0 c 0 0 0
0 0 c 0 c c
0 0 c c 0 c
0 0 c c c 0
0 c 0 0 0 0
0 c 0 0 c c
0 c 0 c 0 c
0 c 0 c c 0
0 c c 0 0 0
0 c c 0 c c
0 c c c 0 c
0 c c c c 0
b 0 b 0 b 0
b 0 b 0 a c
b 0 b c b c
b 0 b c a 0
b 0 a 0 b 0
b 0 a 0 a c
b 0 a c b c
b 0 a c a 0
b c b 0 b 0
b c b 0 a c
b c b c b c
b c b c a 0
b c a 0 b 0
b c a 0 a c
b c a c b c
b c a c a 0
a 0 a 0 a 0
a 0 a 0 b c
a 0 a c a c
a 0 a c b 0
a 0 b 0 a 0
a 0 b 0 b c
a 0 b c a c
a 0 b c b 0
a c a 0 a 0
a c a 0 b c
a c a c a c
a c a c b 0
a c b 0 a 0
a c b 0 b c
a c b c a c
a c b c b 0
c 0 c 0 c 0
c 0 c 0 0 c
c 0 c c c c
c 0 c c 0 0
c 0 0 0 c 0
c 0 0 0 0 c
c 0 0 c c c
c 0 0 c 0 0
c c c 0 c 0
c c c 0 0 c
c c c c c c
c c c c 0 0
c c 0 0 c 0
c c 0 0 0 c
c c 0 c c c
c c 0 c 0 0
dmin: 1
Weight Enumerator: 1x0 + 2x1 + 7x2 + 16x3 + 19x4 + 14x5 + 5x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_a)1 (X_b)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_b)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_a)2 (X_b)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_c)6 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c
0 a 0 0 0 0
0 a 0 0 0 a
0 a 0 0 0 b
0 a 0 0 0 c
0 a 0 a 0 0
0 a 0 a 0 a
0 a 0 a 0 b
0 a 0 a 0 c
0 a 0 b 0 0
0 a 0 b 0 a
0 a 0 b 0 b
0 a 0 b 0 c
0 a 0 c 0 0
0 a 0 c 0 a
0 a 0 c 0 b
0 a 0 c 0 c
0 b 0 0 0 0
0 b 0 0 0 a
0 b 0 0 0 b
0 b 0 0 0 c
0 b 0 a 0 0
0 b 0 a 0 a
0 b 0 a 0 b
0 b 0 a 0 c
0 b 0 b 0 0
0 b 0 b 0 a
0 b 0 b 0 b
0 b 0 b 0 c
0 b 0 c 0 0
0 b 0 c 0 a
0 b 0 c 0 b
0 b 0 c 0 c
0 c 0 0 0 0
0 c 0 0 0 a
0 c 0 0 0 b
0 c 0 0 0 c
0 c 0 a 0 0
0 c 0 a 0 a
0 c 0 a 0 b
0 c 0 a 0 c
0 c 0 b 0 0
0 c 0 b 0 a
0 c 0 b 0 b
0 c 0 b 0 c
0 c 0 c 0 0
0 c 0 c 0 a
0 c 0 c 0 b
0 c 0 c 0 c
Is it a nice code?: Yes
Generator Matrix-165
a 0 a 0 a 0
b 0 b 0 b 0
0 c 0 0 0 0
0 0 c 0 0 c
0 0 0 c 0 0
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 0
0 0 0 c c 0
0 0 c 0 0 c
0 0 c 0 c c
0 0 c c 0 c
0 0 c c c c
0 c 0 0 0 0
0 c 0 0 c 0
0 c 0 c 0 0
0 c 0 c c 0
0 c c 0 0 c
0 c c 0 c c
0 c c c 0 c
0 c c c c c
b 0 b 0 b 0
b 0 b 0 a 0
b 0 b c b 0
b 0 b c a 0
b 0 a 0 b c
b 0 a 0 a c
b 0 a c b c
b 0 a c a c
b c b 0 b 0
b c b 0 a 0
b c b c b 0
b c b c a 0
b c a 0 b c
b c a 0 a c
b c a c b c
b c a c a c
a 0 a 0 a 0
a 0 a 0 b 0
a 0 a c a 0
a 0 a c b 0
a 0 b 0 a c
a 0 b 0 b c
a 0 b c a c
a 0 b c b c
a c a 0 a 0
a c a 0 b 0
a c a c a 0
a c a c b 0
a c b 0 a c
a c b 0 b c
a c b c a c
a c b c b c
c 0 c 0 c 0
c 0 c 0 0 0
c 0 c c c 0
c 0 c c 0 0
c 0 0 0 c c
c 0 0 0 0 c
c 0 0 c c c
c 0 0 c 0 c
c c c 0 c 0
c c c 0 0 0
c c c c c 0
c c c c 0 0
c c 0 0 c c
c c 0 0 0 c
c c 0 c c c
c c 0 c 0 c
dmin: 1
Weight Enumerator: 1x0 + 3x1 + 6x2 + 14x3 + 21x4 + 15x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)3 (X_b)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)2 (X_b)3 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_b)3 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_a)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)2 (X_a)3 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)3 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c
0 a 0 0 0 0
0 a 0 0 0 a
0 a 0 0 0 b
0 a 0 0 0 c
0 a 0 a 0 0
0 a 0 a 0 a
0 a 0 a 0 b
0 a 0 a 0 c
0 a 0 b 0 0
0 a 0 b 0 a
0 a 0 b 0 b
0 a 0 b 0 c
0 a 0 c 0 0
0 a 0 c 0 a
0 a 0 c 0 b
0 a 0 c 0 c
0 b 0 0 0 0
0 b 0 0 0 a
0 b 0 0 0 b
0 b 0 0 0 c
0 b 0 a 0 0
0 b 0 a 0 a
0 b 0 a 0 b
0 b 0 a 0 c
0 b 0 b 0 0
0 b 0 b 0 a
0 b 0 b 0 b
0 b 0 b 0 c
0 b 0 c 0 0
0 b 0 c 0 a
0 b 0 c 0 b
0 b 0 c 0 c
0 c 0 0 0 0
0 c 0 0 0 a
0 c 0 0 0 b
0 c 0 0 0 c
0 c 0 a 0 0
0 c 0 a 0 a
0 c 0 a 0 b
0 c 0 a 0 c
0 c 0 b 0 0
0 c 0 b 0 a
0 c 0 b 0 b
0 c 0 b 0 c
0 c 0 c 0 0
0 c 0 c 0 a
0 c 0 c 0 b
0 c 0 c 0 c
Is it a nice code?: Yes
Generator Matrix-166
a 0 a 0 a 0
b 0 b 0 b 0
0 c 0 0 0 0
0 0 c 0 0 c
0 0 0 c 0 0
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 0
0 0 0 c c c
0 0 c 0 0 c
0 0 c 0 c 0
0 0 c c 0 c
0 0 c c c 0
0 c 0 0 0 0
0 c 0 0 c c
0 c 0 c 0 0
0 c 0 c c c
0 c c 0 0 c
0 c c 0 c 0
0 c c c 0 c
0 c c c c 0
b 0 b 0 b 0
b 0 b 0 a c
b 0 b c b 0
b 0 b c a c
b 0 a 0 b c
b 0 a 0 a 0
b 0 a c b c
b 0 a c a 0
b c b 0 b 0
b c b 0 a c
b c b c b 0
b c b c a c
b c a 0 b c
b c a 0 a 0
b c a c b c
b c a c a 0
a 0 a 0 a 0
a 0 a 0 b c
a 0 a c a 0
a 0 a c b c
a 0 b 0 a c
a 0 b 0 b 0
a 0 b c a c
a 0 b c b 0
a c a 0 a 0
a c a 0 b c
a c a c a 0
a c a c b c
a c b 0 a c
a c b 0 b 0
a c b c a c
a c b c b 0
c 0 c 0 c 0
c 0 c 0 0 c
c 0 c c c 0
c 0 c c 0 c
c 0 0 0 c c
c 0 0 0 0 0
c 0 0 c c c
c 0 0 c 0 0
c c c 0 c 0
c c c 0 0 c
c c c c c 0
c c c c 0 c
c c 0 0 c c
c c 0 0 0 0
c c 0 c c c
c c 0 c 0 0
dmin: 1
Weight Enumerator: 1x0 + 3x1 + 6x2 + 14x3 + 21x4 + 15x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_a)2 (X_b)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_b)3 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_a)1 (X_b)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c
0 a 0 0 0 0
0 a 0 0 0 a
0 a 0 0 0 b
0 a 0 0 0 c
0 a 0 a 0 0
0 a 0 a 0 a
0 a 0 a 0 b
0 a 0 a 0 c
0 a 0 b 0 0
0 a 0 b 0 a
0 a 0 b 0 b
0 a 0 b 0 c
0 a 0 c 0 0
0 a 0 c 0 a
0 a 0 c 0 b
0 a 0 c 0 c
0 b 0 0 0 0
0 b 0 0 0 a
0 b 0 0 0 b
0 b 0 0 0 c
0 b 0 a 0 0
0 b 0 a 0 a
0 b 0 a 0 b
0 b 0 a 0 c
0 b 0 b 0 0
0 b 0 b 0 a
0 b 0 b 0 b
0 b 0 b 0 c
0 b 0 c 0 0
0 b 0 c 0 a
0 b 0 c 0 b
0 b 0 c 0 c
0 c 0 0 0 0
0 c 0 0 0 a
0 c 0 0 0 b
0 c 0 0 0 c
0 c 0 a 0 0
0 c 0 a 0 a
0 c 0 a 0 b
0 c 0 a 0 c
0 c 0 b 0 0
0 c 0 b 0 a
0 c 0 b 0 b
0 c 0 b 0 c
0 c 0 c 0 0
0 c 0 c 0 a
0 c 0 c 0 b
0 c 0 c 0 c
Is it a nice code?: Yes
Generator Matrix-167
a 0 a 0 a 0
b 0 b 0 b 0
0 c 0 0 0 0
0 0 c 0 0 c
0 0 0 c 0 c
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 c
0 0 0 c c c
0 0 c 0 0 c
0 0 c 0 c c
0 0 c c 0 0
0 0 c c c 0
0 c 0 0 0 0
0 c 0 0 c 0
0 c 0 c 0 c
0 c 0 c c c
0 c c 0 0 c
0 c c 0 c c
0 c c c 0 0
0 c c c c 0
b 0 b 0 b 0
b 0 b 0 a 0
b 0 b c b c
b 0 b c a c
b 0 a 0 b c
b 0 a 0 a c
b 0 a c b 0
b 0 a c a 0
b c b 0 b 0
b c b 0 a 0
b c b c b c
b c b c a c
b c a 0 b c
b c a 0 a c
b c a c b 0
b c a c a 0
a 0 a 0 a 0
a 0 a 0 b 0
a 0 a c a c
a 0 a c b c
a 0 b 0 a c
a 0 b 0 b c
a 0 b c a 0
a 0 b c b 0
a c a 0 a 0
a c a 0 b 0
a c a c a c
a c a c b c
a c b 0 a c
a c b 0 b c
a c b c a 0
a c b c b 0
c 0 c 0 c 0
c 0 c 0 0 0
c 0 c c c c
c 0 c c 0 c
c 0 0 0 c c
c 0 0 0 0 c
c 0 0 c c 0
c 0 0 c 0 0
c c c 0 c 0
c c c 0 0 0
c c c c c c
c c c c 0 c
c c 0 0 c c
c c 0 0 0 c
c c 0 c c 0
c c 0 c 0 0
dmin: 1
Weight Enumerator: 1x0 + 2x1 + 7x2 + 16x3 + 19x4 + 14x5 + 5x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_b)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_b)3 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_b)3 (X_c)3 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)3 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)3 (X_c)3 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_c)6 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c
0 a 0 0 0 0
0 a 0 0 0 a
0 a 0 0 0 b
0 a 0 0 0 c
0 a 0 a 0 0
0 a 0 a 0 a
0 a 0 a 0 b
0 a 0 a 0 c
0 a 0 b 0 0
0 a 0 b 0 a
0 a 0 b 0 b
0 a 0 b 0 c
0 a 0 c 0 0
0 a 0 c 0 a
0 a 0 c 0 b
0 a 0 c 0 c
0 b 0 0 0 0
0 b 0 0 0 a
0 b 0 0 0 b
0 b 0 0 0 c
0 b 0 a 0 0
0 b 0 a 0 a
0 b 0 a 0 b
0 b 0 a 0 c
0 b 0 b 0 0
0 b 0 b 0 a
0 b 0 b 0 b
0 b 0 b 0 c
0 b 0 c 0 0
0 b 0 c 0 a
0 b 0 c 0 b
0 b 0 c 0 c
0 c 0 0 0 0
0 c 0 0 0 a
0 c 0 0 0 b
0 c 0 0 0 c
0 c 0 a 0 0
0 c 0 a 0 a
0 c 0 a 0 b
0 c 0 a 0 c
0 c 0 b 0 0
0 c 0 b 0 a
0 c 0 b 0 b
0 c 0 b 0 c
0 c 0 c 0 0
0 c 0 c 0 a
0 c 0 c 0 b
0 c 0 c 0 c
Is it a nice code?: Yes
Generator Matrix-168
a 0 a 0 a 0
b 0 b 0 b 0
0 c 0 0 0 0
0 0 c 0 0 c
0 0 0 c 0 c
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 c
0 0 0 c c 0
0 0 c 0 0 c
0 0 c 0 c 0
0 0 c c 0 0
0 0 c c c c
0 c 0 0 0 0
0 c 0 0 c c
0 c 0 c 0 c
0 c 0 c c 0
0 c c 0 0 c
0 c c 0 c 0
0 c c c 0 0
0 c c c c c
b 0 b 0 b 0
b 0 b 0 a c
b 0 b c b c
b 0 b c a 0
b 0 a 0 b c
b 0 a 0 a 0
b 0 a c b 0
b 0 a c a c
b c b 0 b 0
b c b 0 a c
b c b c b c
b c b c a 0
b c a 0 b c
b c a 0 a 0
b c a c b 0
b c a c a c
a 0 a 0 a 0
a 0 a 0 b c
a 0 a c a c
a 0 a c b 0
a 0 b 0 a c
a 0 b 0 b 0
a 0 b c a 0
a 0 b c b c
a c a 0 a 0
a c a 0 b c
a c a c a c
a c a c b 0
a c b 0 a c
a c b 0 b 0
a c b c a 0
a c b c b c
c 0 c 0 c 0
c 0 c 0 0 c
c 0 c c c c
c 0 c c 0 0
c 0 0 0 c c
c 0 0 0 0 0
c 0 0 c c 0
c 0 0 c 0 c
c c c 0 c 0
c c c 0 0 c
c c c c c c
c c c c 0 0
c c 0 0 c c
c c 0 0 0 0
c c 0 c c 0
c c 0 c 0 c
dmin: 1
Weight Enumerator: 1x0 + 2x1 + 7x2 + 16x3 + 19x4 + 14x5 + 5x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_a)2 (X_b)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_b)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_a)1 (X_b)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_c)6 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c
0 a 0 0 0 0
0 a 0 0 0 a
0 a 0 0 0 b
0 a 0 0 0 c
0 a 0 a 0 0
0 a 0 a 0 a
0 a 0 a 0 b
0 a 0 a 0 c
0 a 0 b 0 0
0 a 0 b 0 a
0 a 0 b 0 b
0 a 0 b 0 c
0 a 0 c 0 0
0 a 0 c 0 a
0 a 0 c 0 b
0 a 0 c 0 c
0 b 0 0 0 0
0 b 0 0 0 a
0 b 0 0 0 b
0 b 0 0 0 c
0 b 0 a 0 0
0 b 0 a 0 a
0 b 0 a 0 b
0 b 0 a 0 c
0 b 0 b 0 0
0 b 0 b 0 a
0 b 0 b 0 b
0 b 0 b 0 c
0 b 0 c 0 0
0 b 0 c 0 a
0 b 0 c 0 b
0 b 0 c 0 c
0 c 0 0 0 0
0 c 0 0 0 a
0 c 0 0 0 b
0 c 0 0 0 c
0 c 0 a 0 0
0 c 0 a 0 a
0 c 0 a 0 b
0 c 0 a 0 c
0 c 0 b 0 0
0 c 0 b 0 a
0 c 0 b 0 b
0 c 0 b 0 c
0 c 0 c 0 0
0 c 0 c 0 a
0 c 0 c 0 b
0 c 0 c 0 c
Is it a nice code?: Yes
Generator Matrix-169
a 0 a 0 a 0
b 0 b 0 b 0
0 c 0 0 0 c
0 0 c 0 0 0
0 0 0 c 0 0
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 0
0 0 0 c c 0
0 0 c 0 0 0
0 0 c 0 c 0
0 0 c c 0 0
0 0 c c c 0
0 c 0 0 0 c
0 c 0 0 c c
0 c 0 c 0 c
0 c 0 c c c
0 c c 0 0 c
0 c c 0 c c
0 c c c 0 c
0 c c c c c
b 0 b 0 b 0
b 0 b 0 a 0
b 0 b c b 0
b 0 b c a 0
b 0 a 0 b 0
b 0 a 0 a 0
b 0 a c b 0
b 0 a c a 0
b c b 0 b c
b c b 0 a c
b c b c b c
b c b c a c
b c a 0 b c
b c a 0 a c
b c a c b c
b c a c a c
a 0 a 0 a 0
a 0 a 0 b 0
a 0 a c a 0
a 0 a c b 0
a 0 b 0 a 0
a 0 b 0 b 0
a 0 b c a 0
a 0 b c b 0
a c a 0 a c
a c a 0 b c
a c a c a c
a c a c b c
a c b 0 a c
a c b 0 b c
a c b c a c
a c b c b c
c 0 c 0 c 0
c 0 c 0 0 0
c 0 c c c 0
c 0 c c 0 0
c 0 0 0 c 0
c 0 0 0 0 0
c 0 0 c c 0
c 0 0 c 0 0
c c c 0 c c
c c c 0 0 c
c c c c c c
c c c c 0 c
c c 0 0 c c
c c 0 0 0 c
c c 0 c c c
c c 0 c 0 c
dmin: 1
Weight Enumerator: 1x0 + 4x1 + 7x2 + 16x3 + 15x4 + 12x5 + 9x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)3 (X_b)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)2 (X_b)3 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_a)1 (X_b)2 + (X_0)3 (X_a)2 (X_b)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_b)3 (X_c)3 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_a)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)2 (X_a)3 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_a)2 (X_b)1 + (X_0)3 (X_a)1 (X_b)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)3 (X_c)3 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_c)6 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c
0 a 0 0 0 0
0 a 0 0 0 a
0 a 0 0 0 b
0 a 0 0 0 c
0 a 0 a 0 0
0 a 0 a 0 a
0 a 0 a 0 b
0 a 0 a 0 c
0 a 0 b 0 0
0 a 0 b 0 a
0 a 0 b 0 b
0 a 0 b 0 c
0 a 0 c 0 0
0 a 0 c 0 a
0 a 0 c 0 b
0 a 0 c 0 c
0 b 0 0 0 0
0 b 0 0 0 a
0 b 0 0 0 b
0 b 0 0 0 c
0 b 0 a 0 0
0 b 0 a 0 a
0 b 0 a 0 b
0 b 0 a 0 c
0 b 0 b 0 0
0 b 0 b 0 a
0 b 0 b 0 b
0 b 0 b 0 c
0 b 0 c 0 0
0 b 0 c 0 a
0 b 0 c 0 b
0 b 0 c 0 c
0 c 0 0 0 0
0 c 0 0 0 a
0 c 0 0 0 b
0 c 0 0 0 c
0 c 0 a 0 0
0 c 0 a 0 a
0 c 0 a 0 b
0 c 0 a 0 c
0 c 0 b 0 0
0 c 0 b 0 a
0 c 0 b 0 b
0 c 0 b 0 c
0 c 0 c 0 0
0 c 0 c 0 a
0 c 0 c 0 b
0 c 0 c 0 c
Is it a nice code?: Yes
Generator Matrix-170
a 0 a 0 a 0
b 0 b 0 b 0
0 c 0 0 0 c
0 0 c 0 0 0
0 0 0 c 0 0
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 0
0 0 0 c c c
0 0 c 0 0 0
0 0 c 0 c c
0 0 c c 0 0
0 0 c c c c
0 c 0 0 0 c
0 c 0 0 c 0
0 c 0 c 0 c
0 c 0 c c 0
0 c c 0 0 c
0 c c 0 c 0
0 c c c 0 c
0 c c c c 0
b 0 b 0 b 0
b 0 b 0 a c
b 0 b c b 0
b 0 b c a c
b 0 a 0 b 0
b 0 a 0 a c
b 0 a c b 0
b 0 a c a c
b c b 0 b c
b c b 0 a 0
b c b c b c
b c b c a 0
b c a 0 b c
b c a 0 a 0
b c a c b c
b c a c a 0
a 0 a 0 a 0
a 0 a 0 b c
a 0 a c a 0
a 0 a c b c
a 0 b 0 a 0
a 0 b 0 b c
a 0 b c a 0
a 0 b c b c
a c a 0 a c
a c a 0 b 0
a c a c a c
a c a c b 0
a c b 0 a c
a c b 0 b 0
a c b c a c
a c b c b 0
c 0 c 0 c 0
c 0 c 0 0 c
c 0 c c c 0
c 0 c c 0 c
c 0 0 0 c 0
c 0 0 0 0 c
c 0 0 c c 0
c 0 0 c 0 c
c c c 0 c c
c c c 0 0 0
c c c c c c
c c c c 0 0
c c 0 0 c c
c c 0 0 0 0
c c 0 c c c
c c 0 c 0 0
dmin: 1
Weight Enumerator: 1x0 + 2x1 + 7x2 + 16x3 + 19x4 + 14x5 + 5x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)1 (X_b)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_b)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)2 (X_b)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)3 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_c)6 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c
0 a 0 0 0 0
0 a 0 0 0 a
0 a 0 0 0 b
0 a 0 0 0 c
0 a 0 a 0 0
0 a 0 a 0 a
0 a 0 a 0 b
0 a 0 a 0 c
0 a 0 b 0 0
0 a 0 b 0 a
0 a 0 b 0 b
0 a 0 b 0 c
0 a 0 c 0 0
0 a 0 c 0 a
0 a 0 c 0 b
0 a 0 c 0 c
0 b 0 0 0 0
0 b 0 0 0 a
0 b 0 0 0 b
0 b 0 0 0 c
0 b 0 a 0 0
0 b 0 a 0 a
0 b 0 a 0 b
0 b 0 a 0 c
0 b 0 b 0 0
0 b 0 b 0 a
0 b 0 b 0 b
0 b 0 b 0 c
0 b 0 c 0 0
0 b 0 c 0 a
0 b 0 c 0 b
0 b 0 c 0 c
0 c 0 0 0 0
0 c 0 0 0 a
0 c 0 0 0 b
0 c 0 0 0 c
0 c 0 a 0 0
0 c 0 a 0 a
0 c 0 a 0 b
0 c 0 a 0 c
0 c 0 b 0 0
0 c 0 b 0 a
0 c 0 b 0 b
0 c 0 b 0 c
0 c 0 c 0 0
0 c 0 c 0 a
0 c 0 c 0 b
0 c 0 c 0 c
Is it a nice code?: Yes
Generator Matrix-171
a 0 a 0 a 0
b 0 b 0 b 0
0 c 0 0 0 c
0 0 c 0 0 0
0 0 0 c 0 c
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 c
0 0 0 c c c
0 0 c 0 0 0
0 0 c 0 c 0
0 0 c c 0 c
0 0 c c c c
0 c 0 0 0 c
0 c 0 0 c c
0 c 0 c 0 0
0 c 0 c c 0
0 c c 0 0 c
0 c c 0 c c
0 c c c 0 0
0 c c c c 0
b 0 b 0 b 0
b 0 b 0 a 0
b 0 b c b c
b 0 b c a c
b 0 a 0 b 0
b 0 a 0 a 0
b 0 a c b c
b 0 a c a c
b c b 0 b c
b c b 0 a c
b c b c b 0
b c b c a 0
b c a 0 b c
b c a 0 a c
b c a c b 0
b c a c a 0
a 0 a 0 a 0
a 0 a 0 b 0
a 0 a c a c
a 0 a c b c
a 0 b 0 a 0
a 0 b 0 b 0
a 0 b c a c
a 0 b c b c
a c a 0 a c
a c a 0 b c
a c a c a 0
a c a c b 0
a c b 0 a c
a c b 0 b c
a c b c a 0
a c b c b 0
c 0 c 0 c 0
c 0 c 0 0 0
c 0 c c c c
c 0 c c 0 c
c 0 0 0 c 0
c 0 0 0 0 0
c 0 0 c c c
c 0 0 c 0 c
c c c 0 c c
c c c 0 0 c
c c c c c 0
c c c c 0 0
c c 0 0 c c
c c 0 0 0 c
c c 0 c c 0
c c 0 c 0 0
dmin: 1
Weight Enumerator: 1x0 + 3x1 + 6x2 + 18x3 + 9x4 + 27x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_b)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)1 (X_b)2 + (X_0)3 (X_a)2 (X_b)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)2 (X_b)1 + (X_0)3 (X_a)1 (X_b)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c
0 a 0 0 0 0
0 a 0 0 0 a
0 a 0 0 0 b
0 a 0 0 0 c
0 a 0 a 0 0
0 a 0 a 0 a
0 a 0 a 0 b
0 a 0 a 0 c
0 a 0 b 0 0
0 a 0 b 0 a
0 a 0 b 0 b
0 a 0 b 0 c
0 a 0 c 0 0
0 a 0 c 0 a
0 a 0 c 0 b
0 a 0 c 0 c
0 b 0 0 0 0
0 b 0 0 0 a
0 b 0 0 0 b
0 b 0 0 0 c
0 b 0 a 0 0
0 b 0 a 0 a
0 b 0 a 0 b
0 b 0 a 0 c
0 b 0 b 0 0
0 b 0 b 0 a
0 b 0 b 0 b
0 b 0 b 0 c
0 b 0 c 0 0
0 b 0 c 0 a
0 b 0 c 0 b
0 b 0 c 0 c
0 c 0 0 0 0
0 c 0 0 0 a
0 c 0 0 0 b
0 c 0 0 0 c
0 c 0 a 0 0
0 c 0 a 0 a
0 c 0 a 0 b
0 c 0 a 0 c
0 c 0 b 0 0
0 c 0 b 0 a
0 c 0 b 0 b
0 c 0 b 0 c
0 c 0 c 0 0
0 c 0 c 0 a
0 c 0 c 0 b
0 c 0 c 0 c
Is it a nice code?: Yes
Generator Matrix-172
a 0 a 0 a 0
b 0 b 0 b 0
0 c 0 0 0 c
0 0 c 0 0 0
0 0 0 c 0 c
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 c
0 0 0 c c 0
0 0 c 0 0 0
0 0 c 0 c c
0 0 c c 0 c
0 0 c c c 0
0 c 0 0 0 c
0 c 0 0 c 0
0 c 0 c 0 0
0 c 0 c c c
0 c c 0 0 c
0 c c 0 c 0
0 c c c 0 0
0 c c c c c
b 0 b 0 b 0
b 0 b 0 a c
b 0 b c b c
b 0 b c a 0
b 0 a 0 b 0
b 0 a 0 a c
b 0 a c b c
b 0 a c a 0
b c b 0 b c
b c b 0 a 0
b c b c b 0
b c b c a c
b c a 0 b c
b c a 0 a 0
b c a c b 0
b c a c a c
a 0 a 0 a 0
a 0 a 0 b c
a 0 a c a c
a 0 a c b 0
a 0 b 0 a 0
a 0 b 0 b c
a 0 b c a c
a 0 b c b 0
a c a 0 a c
a c a 0 b 0
a c a c a 0
a c a c b c
a c b 0 a c
a c b 0 b 0
a c b c a 0
a c b c b c
c 0 c 0 c 0
c 0 c 0 0 c
c 0 c c c c
c 0 c c 0 0
c 0 0 0 c 0
c 0 0 0 0 c
c 0 0 c c c
c 0 0 c 0 0
c c c 0 c c
c c c 0 0 0
c c c c c 0
c c c c 0 c
c c 0 0 c c
c c 0 0 0 0
c c 0 c c 0
c c 0 c 0 c
dmin: 1
Weight Enumerator: 1x0 + 1x1 + 10x2 + 14x3 + 17x4 + 17x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_a)1 (X_b)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_b)3 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_a)2 (X_b)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c
0 a 0 0 0 0
0 a 0 0 0 a
0 a 0 0 0 b
0 a 0 0 0 c
0 a 0 a 0 0
0 a 0 a 0 a
0 a 0 a 0 b
0 a 0 a 0 c
0 a 0 b 0 0
0 a 0 b 0 a
0 a 0 b 0 b
0 a 0 b 0 c
0 a 0 c 0 0
0 a 0 c 0 a
0 a 0 c 0 b
0 a 0 c 0 c
0 b 0 0 0 0
0 b 0 0 0 a
0 b 0 0 0 b
0 b 0 0 0 c
0 b 0 a 0 0
0 b 0 a 0 a
0 b 0 a 0 b
0 b 0 a 0 c
0 b 0 b 0 0
0 b 0 b 0 a
0 b 0 b 0 b
0 b 0 b 0 c
0 b 0 c 0 0
0 b 0 c 0 a
0 b 0 c 0 b
0 b 0 c 0 c
0 c 0 0 0 0
0 c 0 0 0 a
0 c 0 0 0 b
0 c 0 0 0 c
0 c 0 a 0 0
0 c 0 a 0 a
0 c 0 a 0 b
0 c 0 a 0 c
0 c 0 b 0 0
0 c 0 b 0 a
0 c 0 b 0 b
0 c 0 b 0 c
0 c 0 c 0 0
0 c 0 c 0 a
0 c 0 c 0 b
0 c 0 c 0 c
Is it a nice code?: Yes
Generator Matrix-173
a 0 a 0 a 0
b 0 b 0 b 0
0 c 0 0 0 c
0 0 c 0 0 c
0 0 0 c 0 0
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 0
0 0 0 c c 0
0 0 c 0 0 c
0 0 c 0 c c
0 0 c c 0 c
0 0 c c c c
0 c 0 0 0 c
0 c 0 0 c c
0 c 0 c 0 c
0 c 0 c c c
0 c c 0 0 0
0 c c 0 c 0
0 c c c 0 0
0 c c c c 0
b 0 b 0 b 0
b 0 b 0 a 0
b 0 b c b 0
b 0 b c a 0
b 0 a 0 b c
b 0 a 0 a c
b 0 a c b c
b 0 a c a c
b c b 0 b c
b c b 0 a c
b c b c b c
b c b c a c
b c a 0 b 0
b c a 0 a 0
b c a c b 0
b c a c a 0
a 0 a 0 a 0
a 0 a 0 b 0
a 0 a c a 0
a 0 a c b 0
a 0 b 0 a c
a 0 b 0 b c
a 0 b c a c
a 0 b c b c
a c a 0 a c
a c a 0 b c
a c a c a c
a c a c b c
a c b 0 a 0
a c b 0 b 0
a c b c a 0
a c b c b 0
c 0 c 0 c 0
c 0 c 0 0 0
c 0 c c c 0
c 0 c c 0 0
c 0 0 0 c c
c 0 0 0 0 c
c 0 0 c c c
c 0 0 c 0 c
c c c 0 c c
c c c 0 0 c
c c c c c c
c c c c 0 c
c c 0 0 c 0
c c 0 0 0 0
c c 0 c c 0
c c 0 c 0 0
dmin: 1
Weight Enumerator: 1x0 + 2x1 + 7x2 + 16x3 + 19x4 + 14x5 + 5x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_b)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)2 (X_b)3 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_b)3 (X_c)3 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)2 (X_a)3 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)3 (X_c)3 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_c)6 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c
0 a 0 0 0 0
0 a 0 0 0 a
0 a 0 0 0 b
0 a 0 0 0 c
0 a 0 a 0 0
0 a 0 a 0 a
0 a 0 a 0 b
0 a 0 a 0 c
0 a 0 b 0 0
0 a 0 b 0 a
0 a 0 b 0 b
0 a 0 b 0 c
0 a 0 c 0 0
0 a 0 c 0 a
0 a 0 c 0 b
0 a 0 c 0 c
0 b 0 0 0 0
0 b 0 0 0 a
0 b 0 0 0 b
0 b 0 0 0 c
0 b 0 a 0 0
0 b 0 a 0 a
0 b 0 a 0 b
0 b 0 a 0 c
0 b 0 b 0 0
0 b 0 b 0 a
0 b 0 b 0 b
0 b 0 b 0 c
0 b 0 c 0 0
0 b 0 c 0 a
0 b 0 c 0 b
0 b 0 c 0 c
0 c 0 0 0 0
0 c 0 0 0 a
0 c 0 0 0 b
0 c 0 0 0 c
0 c 0 a 0 0
0 c 0 a 0 a
0 c 0 a 0 b
0 c 0 a 0 c
0 c 0 b 0 0
0 c 0 b 0 a
0 c 0 b 0 b
0 c 0 b 0 c
0 c 0 c 0 0
0 c 0 c 0 a
0 c 0 c 0 b
0 c 0 c 0 c
Is it a nice code?: Yes
Generator Matrix-174
a 0 a 0 a 0
b 0 b 0 b 0
0 c 0 0 0 c
0 0 c 0 0 c
0 0 0 c 0 0
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 0
0 0 0 c c c
0 0 c 0 0 c
0 0 c 0 c 0
0 0 c c 0 c
0 0 c c c 0
0 c 0 0 0 c
0 c 0 0 c 0
0 c 0 c 0 c
0 c 0 c c 0
0 c c 0 0 0
0 c c 0 c c
0 c c c 0 0
0 c c c c c
b 0 b 0 b 0
b 0 b 0 a c
b 0 b c b 0
b 0 b c a c
b 0 a 0 b c
b 0 a 0 a 0
b 0 a c b c
b 0 a c a 0
b c b 0 b c
b c b 0 a 0
b c b c b c
b c b c a 0
b c a 0 b 0
b c a 0 a c
b c a c b 0
b c a c a c
a 0 a 0 a 0
a 0 a 0 b c
a 0 a c a 0
a 0 a c b c
a 0 b 0 a c
a 0 b 0 b 0
a 0 b c a c
a 0 b c b 0
a c a 0 a c
a c a 0 b 0
a c a c a c
a c a c b 0
a c b 0 a 0
a c b 0 b c
a c b c a 0
a c b c b c
c 0 c 0 c 0
c 0 c 0 0 c
c 0 c c c 0
c 0 c c 0 c
c 0 0 0 c c
c 0 0 0 0 0
c 0 0 c c c
c 0 0 c 0 0
c c c 0 c c
c c c 0 0 0
c c c c c c
c c c c 0 0
c c 0 0 c 0
c c 0 0 0 c
c c 0 c c 0
c c 0 c 0 c
dmin: 1
Weight Enumerator: 1x0 + 2x1 + 7x2 + 16x3 + 19x4 + 14x5 + 5x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_a)2 (X_b)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_b)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_a)1 (X_b)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_c)6 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c
0 a 0 0 0 0
0 a 0 0 0 a
0 a 0 0 0 b
0 a 0 0 0 c
0 a 0 a 0 0
0 a 0 a 0 a
0 a 0 a 0 b
0 a 0 a 0 c
0 a 0 b 0 0
0 a 0 b 0 a
0 a 0 b 0 b
0 a 0 b 0 c
0 a 0 c 0 0
0 a 0 c 0 a
0 a 0 c 0 b
0 a 0 c 0 c
0 b 0 0 0 0
0 b 0 0 0 a
0 b 0 0 0 b
0 b 0 0 0 c
0 b 0 a 0 0
0 b 0 a 0 a
0 b 0 a 0 b
0 b 0 a 0 c
0 b 0 b 0 0
0 b 0 b 0 a
0 b 0 b 0 b
0 b 0 b 0 c
0 b 0 c 0 0
0 b 0 c 0 a
0 b 0 c 0 b
0 b 0 c 0 c
0 c 0 0 0 0
0 c 0 0 0 a
0 c 0 0 0 b
0 c 0 0 0 c
0 c 0 a 0 0
0 c 0 a 0 a
0 c 0 a 0 b
0 c 0 a 0 c
0 c 0 b 0 0
0 c 0 b 0 a
0 c 0 b 0 b
0 c 0 b 0 c
0 c 0 c 0 0
0 c 0 c 0 a
0 c 0 c 0 b
0 c 0 c 0 c
Is it a nice code?: Yes
Generator Matrix-175
a 0 a 0 a 0
b 0 b 0 b 0
0 c 0 0 0 c
0 0 c 0 0 c
0 0 0 c 0 c
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 c
0 0 0 c c c
0 0 c 0 0 c
0 0 c 0 c c
0 0 c c 0 0
0 0 c c c 0
0 c 0 0 0 c
0 c 0 0 c c
0 c 0 c 0 0
0 c 0 c c 0
0 c c 0 0 0
0 c c 0 c 0
0 c c c 0 c
0 c c c c c
b 0 b 0 b 0
b 0 b 0 a 0
b 0 b c b c
b 0 b c a c
b 0 a 0 b c
b 0 a 0 a c
b 0 a c b 0
b 0 a c a 0
b c b 0 b c
b c b 0 a c
b c b c b 0
b c b c a 0
b c a 0 b 0
b c a 0 a 0
b c a c b c
b c a c a c
a 0 a 0 a 0
a 0 a 0 b 0
a 0 a c a c
a 0 a c b c
a 0 b 0 a c
a 0 b 0 b c
a 0 b c a 0
a 0 b c b 0
a c a 0 a c
a c a 0 b c
a c a c a 0
a c a c b 0
a c b 0 a 0
a c b 0 b 0
a c b c a c
a c b c b c
c 0 c 0 c 0
c 0 c 0 0 0
c 0 c c c c
c 0 c c 0 c
c 0 0 0 c c
c 0 0 0 0 c
c 0 0 c c 0
c 0 0 c 0 0
c c c 0 c c
c c c 0 0 c
c c c c c 0
c c c c 0 0
c c 0 0 c 0
c c 0 0 0 0
c c 0 c c c
c c 0 c 0 c
dmin: 1
Weight Enumerator: 1x0 + 1x1 + 10x2 + 14x3 + 17x4 + 17x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)3 (X_b)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_a)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c
0 a 0 0 0 0
0 a 0 0 0 a
0 a 0 0 0 b
0 a 0 0 0 c
0 a 0 a 0 0
0 a 0 a 0 a
0 a 0 a 0 b
0 a 0 a 0 c
0 a 0 b 0 0
0 a 0 b 0 a
0 a 0 b 0 b
0 a 0 b 0 c
0 a 0 c 0 0
0 a 0 c 0 a
0 a 0 c 0 b
0 a 0 c 0 c
0 b 0 0 0 0
0 b 0 0 0 a
0 b 0 0 0 b
0 b 0 0 0 c
0 b 0 a 0 0
0 b 0 a 0 a
0 b 0 a 0 b
0 b 0 a 0 c
0 b 0 b 0 0
0 b 0 b 0 a
0 b 0 b 0 b
0 b 0 b 0 c
0 b 0 c 0 0
0 b 0 c 0 a
0 b 0 c 0 b
0 b 0 c 0 c
0 c 0 0 0 0
0 c 0 0 0 a
0 c 0 0 0 b
0 c 0 0 0 c
0 c 0 a 0 0
0 c 0 a 0 a
0 c 0 a 0 b
0 c 0 a 0 c
0 c 0 b 0 0
0 c 0 b 0 a
0 c 0 b 0 b
0 c 0 b 0 c
0 c 0 c 0 0
0 c 0 c 0 a
0 c 0 c 0 b
0 c 0 c 0 c
Is it a nice code?: Yes
Generator Matrix-176
a 0 a 0 a 0
b 0 b 0 b 0
0 c 0 0 0 c
0 0 c 0 0 c
0 0 0 c 0 c
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 c
0 0 0 c c 0
0 0 c 0 0 c
0 0 c 0 c 0
0 0 c c 0 0
0 0 c c c c
0 c 0 0 0 c
0 c 0 0 c 0
0 c 0 c 0 0
0 c 0 c c c
0 c c 0 0 0
0 c c 0 c c
0 c c c 0 c
0 c c c c 0
b 0 b 0 b 0
b 0 b 0 a c
b 0 b c b c
b 0 b c a 0
b 0 a 0 b c
b 0 a 0 a 0
b 0 a c b 0
b 0 a c a c
b c b 0 b c
b c b 0 a 0
b c b c b 0
b c b c a c
b c a 0 b 0
b c a 0 a c
b c a c b c
b c a c a 0
a 0 a 0 a 0
a 0 a 0 b c
a 0 a c a c
a 0 a c b 0
a 0 b 0 a c
a 0 b 0 b 0
a 0 b c a 0
a 0 b c b c
a c a 0 a c
a c a 0 b 0
a c a c a 0
a c a c b c
a c b 0 a 0
a c b 0 b c
a c b c a c
a c b c b 0
c 0 c 0 c 0
c 0 c 0 0 c
c 0 c c c c
c 0 c c 0 0
c 0 0 0 c c
c 0 0 0 0 0
c 0 0 c c 0
c 0 0 c 0 c
c c c 0 c c
c c c 0 0 0
c c c c c 0
c c c c 0 c
c c 0 0 c 0
c c 0 0 0 c
c c 0 c c c
c c 0 c 0 0
dmin: 1
Weight Enumerator: 1x0 + 1x1 + 10x2 + 14x3 + 17x4 + 17x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_a)2 (X_b)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_b)3 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_a)1 (X_b)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)3 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c
0 a 0 0 0 0
0 a 0 0 0 a
0 a 0 0 0 b
0 a 0 0 0 c
0 a 0 a 0 0
0 a 0 a 0 a
0 a 0 a 0 b
0 a 0 a 0 c
0 a 0 b 0 0
0 a 0 b 0 a
0 a 0 b 0 b
0 a 0 b 0 c
0 a 0 c 0 0
0 a 0 c 0 a
0 a 0 c 0 b
0 a 0 c 0 c
0 b 0 0 0 0
0 b 0 0 0 a
0 b 0 0 0 b
0 b 0 0 0 c
0 b 0 a 0 0
0 b 0 a 0 a
0 b 0 a 0 b
0 b 0 a 0 c
0 b 0 b 0 0
0 b 0 b 0 a
0 b 0 b 0 b
0 b 0 b 0 c
0 b 0 c 0 0
0 b 0 c 0 a
0 b 0 c 0 b
0 b 0 c 0 c
0 c 0 0 0 0
0 c 0 0 0 a
0 c 0 0 0 b
0 c 0 0 0 c
0 c 0 a 0 0
0 c 0 a 0 a
0 c 0 a 0 b
0 c 0 a 0 c
0 c 0 b 0 0
0 c 0 b 0 a
0 c 0 b 0 b
0 c 0 b 0 c
0 c 0 c 0 0
0 c 0 c 0 a
0 c 0 c 0 b
0 c 0 c 0 c
Is it a nice code?: Yes
Generator Matrix-177
a 0 a 0 a a
b 0 b 0 b b
0 c 0 0 0 0
0 0 c 0 0 0
0 0 0 c 0 0
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 0
0 0 0 c c 0
0 0 c 0 0 0
0 0 c 0 c 0
0 0 c c 0 0
0 0 c c c 0
0 c 0 0 0 0
0 c 0 0 c 0
0 c 0 c 0 0
0 c 0 c c 0
0 c c 0 0 0
0 c c 0 c 0
0 c c c 0 0
0 c c c c 0
b 0 b 0 b b
b 0 b 0 a b
b 0 b c b b
b 0 b c a b
b 0 a 0 b b
b 0 a 0 a b
b 0 a c b b
b 0 a c a b
b c b 0 b b
b c b 0 a b
b c b c b b
b c b c a b
b c a 0 b b
b c a 0 a b
b c a c b b
b c a c a b
a 0 a 0 a a
a 0 a 0 b a
a 0 a c a a
a 0 a c b a
a 0 b 0 a a
a 0 b 0 b a
a 0 b c a a
a 0 b c b a
a c a 0 a a
a c a 0 b a
a c a c a a
a c a c b a
a c b 0 a a
a c b 0 b a
a c b c a a
a c b c b a
c 0 c 0 c c
c 0 c 0 0 c
c 0 c c c c
c 0 c c 0 c
c 0 0 0 c c
c 0 0 0 0 c
c 0 0 c c c
c 0 0 c 0 c
c c c 0 c c
c c c 0 0 c
c c c c c c
c c c c 0 c
c c 0 0 c c
c c 0 0 0 c
c c 0 c c c
c c 0 c 0 c
dmin: 1
Weight Enumerator: 1x0 + 4x1 + 7x2 + 8x3 + 15x4 + 20x5 + 9x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_b)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_b)4 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)1 (X_b)3 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_b)4 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_b)4 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)4 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)3 (X_b)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)4 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)4 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_c)6 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4
Dual Codewords:
0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0
0 a 0 0 0 0
0 a 0 a 0 0
0 a 0 b 0 0
0 a 0 c 0 0
0 b 0 0 0 0
0 b 0 a 0 0
0 b 0 b 0 0
0 b 0 c 0 0
0 c 0 0 0 0
0 c 0 a 0 0
0 c 0 b 0 0
0 c 0 c 0 0
Is it a nice code?: No
Generator Matrix-178
a 0 a 0 a a
b 0 b 0 b b
0 c 0 0 0 0
0 0 c 0 0 0
0 0 0 c 0 0
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 0
0 0 0 c c c
0 0 c 0 0 0
0 0 c 0 c c
0 0 c c 0 0
0 0 c c c c
0 c 0 0 0 0
0 c 0 0 c c
0 c 0 c 0 0
0 c 0 c c c
0 c c 0 0 0
0 c c 0 c c
0 c c c 0 0
0 c c c c c
b 0 b 0 b b
b 0 b 0 a a
b 0 b c b b
b 0 b c a a
b 0 a 0 b b
b 0 a 0 a a
b 0 a c b b
b 0 a c a a
b c b 0 b b
b c b 0 a a
b c b c b b
b c b c a a
b c a 0 b b
b c a 0 a a
b c a c b b
b c a c a a
a 0 a 0 a a
a 0 a 0 b b
a 0 a c a a
a 0 a c b b
a 0 b 0 a a
a 0 b 0 b b
a 0 b c a a
a 0 b c b b
a c a 0 a a
a c a 0 b b
a c a c a a
a c a c b b
a c b 0 a a
a c b 0 b b
a c b c a a
a c b c b b
c 0 c 0 c c
c 0 c 0 0 0
c 0 c c c c
c 0 c c 0 0
c 0 0 0 c c
c 0 0 0 0 0
c 0 0 c c c
c 0 0 c 0 0
c c c 0 c c
c c c 0 0 0
c c c c c c
c c c c 0 0
c c 0 0 c c
c c 0 0 0 0
c c 0 c c c
c c 0 c 0 0
dmin: 1
Weight Enumerator: 1x0 + 4x1 + 7x2 + 8x3 + 15x4 + 20x5 + 9x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_b)4 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)3 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_b)4 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_b)4 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)4 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)3 (X_b)1 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)4 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)4 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_c)6 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3
Dual Codewords:
0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0
0 a 0 0 0 0
0 a 0 a 0 0
0 a 0 b 0 0
0 a 0 c 0 0
0 b 0 0 0 0
0 b 0 a 0 0
0 b 0 b 0 0
0 b 0 c 0 0
0 c 0 0 0 0
0 c 0 a 0 0
0 c 0 b 0 0
0 c 0 c 0 0
Is it a nice code?: No
Generator Matrix-179
a 0 a 0 a a
b 0 b 0 b b
0 c 0 0 0 0
0 0 c 0 0 0
0 0 0 c 0 c
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 c
0 0 0 c c c
0 0 c 0 0 0
0 0 c 0 c 0
0 0 c c 0 c
0 0 c c c c
0 c 0 0 0 0
0 c 0 0 c 0
0 c 0 c 0 c
0 c 0 c c c
0 c c 0 0 0
0 c c 0 c 0
0 c c c 0 c
0 c c c c c
b 0 b 0 b b
b 0 b 0 a b
b 0 b c b a
b 0 b c a a
b 0 a 0 b b
b 0 a 0 a b
b 0 a c b a
b 0 a c a a
b c b 0 b b
b c b 0 a b
b c b c b a
b c b c a a
b c a 0 b b
b c a 0 a b
b c a c b a
b c a c a a
a 0 a 0 a a
a 0 a 0 b a
a 0 a c a b
a 0 a c b b
a 0 b 0 a a
a 0 b 0 b a
a 0 b c a b
a 0 b c b b
a c a 0 a a
a c a 0 b a
a c a c a b
a c a c b b
a c b 0 a a
a c b 0 b a
a c b c a b
a c b c b b
c 0 c 0 c c
c 0 c 0 0 c
c 0 c c c 0
c 0 c c 0 0
c 0 0 0 c c
c 0 0 0 0 c
c 0 0 c c 0
c 0 0 c 0 0
c c c 0 c c
c c c 0 0 c
c c c c c 0
c c c c 0 0
c c 0 0 c c
c c 0 0 0 c
c c 0 c c 0
c c 0 c 0 0
dmin: 1
Weight Enumerator: 1x0 + 3x1 + 6x2 + 10x3 + 17x4 + 19x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)2 (X_b)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)3 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_b)4 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)3 (X_b)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)4 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3
Dual Codewords:
0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0
0 a 0 0 0 0
0 a 0 a 0 0
0 a 0 b 0 0
0 a 0 c 0 0
0 b 0 0 0 0
0 b 0 a 0 0
0 b 0 b 0 0
0 b 0 c 0 0
0 c 0 0 0 0
0 c 0 a 0 0
0 c 0 b 0 0
0 c 0 c 0 0
Is it a nice code?: No
Generator Matrix-180
a 0 a 0 a a
b 0 b 0 b b
0 c 0 0 0 0
0 0 c 0 0 0
0 0 0 c 0 c
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 c
0 0 0 c c 0
0 0 c 0 0 0
0 0 c 0 c c
0 0 c c 0 c
0 0 c c c 0
0 c 0 0 0 0
0 c 0 0 c c
0 c 0 c 0 c
0 c 0 c c 0
0 c c 0 0 0
0 c c 0 c c
0 c c c 0 c
0 c c c c 0
b 0 b 0 b b
b 0 b 0 a a
b 0 b c b a
b 0 b c a b
b 0 a 0 b b
b 0 a 0 a a
b 0 a c b a
b 0 a c a b
b c b 0 b b
b c b 0 a a
b c b c b a
b c b c a b
b c a 0 b b
b c a 0 a a
b c a c b a
b c a c a b
a 0 a 0 a a
a 0 a 0 b b
a 0 a c a b
a 0 a c b a
a 0 b 0 a a
a 0 b 0 b b
a 0 b c a b
a 0 b c b a
a c a 0 a a
a c a 0 b b
a c a c a b
a c a c b a
a c b 0 a a
a c b 0 b b
a c b c a b
a c b c b a
c 0 c 0 c c
c 0 c 0 0 0
c 0 c c c 0
c 0 c c 0 c
c 0 0 0 c c
c 0 0 0 0 0
c 0 0 c c 0
c 0 0 c 0 c
c c c 0 c c
c c c 0 0 0
c c c c c 0
c c c c 0 c
c c 0 0 c c
c c 0 0 0 0
c c 0 c c 0
c c 0 c 0 c
dmin: 1
Weight Enumerator: 1x0 + 3x1 + 6x2 + 10x3 + 17x4 + 19x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)1 (X_b)3 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_b)4 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)3 (X_b)1 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)4 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4
Dual Codewords:
0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0
0 a 0 0 0 0
0 a 0 a 0 0
0 a 0 b 0 0
0 a 0 c 0 0
0 b 0 0 0 0
0 b 0 a 0 0
0 b 0 b 0 0
0 b 0 c 0 0
0 c 0 0 0 0
0 c 0 a 0 0
0 c 0 b 0 0
0 c 0 c 0 0
Is it a nice code?: No
Generator Matrix-181
a 0 a 0 a a
b 0 b 0 b b
0 c 0 0 0 0
0 0 c 0 0 c
0 0 0 c 0 0
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 0
0 0 0 c c 0
0 0 c 0 0 c
0 0 c 0 c c
0 0 c c 0 c
0 0 c c c c
0 c 0 0 0 0
0 c 0 0 c 0
0 c 0 c 0 0
0 c 0 c c 0
0 c c 0 0 c
0 c c 0 c c
0 c c c 0 c
0 c c c c c
b 0 b 0 b b
b 0 b 0 a b
b 0 b c b b
b 0 b c a b
b 0 a 0 b a
b 0 a 0 a a
b 0 a c b a
b 0 a c a a
b c b 0 b b
b c b 0 a b
b c b c b b
b c b c a b
b c a 0 b a
b c a 0 a a
b c a c b a
b c a c a a
a 0 a 0 a a
a 0 a 0 b a
a 0 a c a a
a 0 a c b a
a 0 b 0 a b
a 0 b 0 b b
a 0 b c a b
a 0 b c b b
a c a 0 a a
a c a 0 b a
a c a c a a
a c a c b a
a c b 0 a b
a c b 0 b b
a c b c a b
a c b c b b
c 0 c 0 c c
c 0 c 0 0 c
c 0 c c c c
c 0 c c 0 c
c 0 0 0 c 0
c 0 0 0 0 0
c 0 0 c c 0
c 0 0 c 0 0
c c c 0 c c
c c c 0 0 c
c c c c c c
c c c c 0 c
c c 0 0 c 0
c c 0 0 0 0
c c 0 c c 0
c c 0 c 0 0
dmin: 1
Weight Enumerator: 1x0 + 4x1 + 7x2 + 8x3 + 15x4 + 20x5 + 9x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)2 (X_b)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_b)4 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_b)4 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_b)4 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)4 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)4 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)4 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_c)6 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3
Dual Codewords:
0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0
0 a 0 0 0 0
0 a 0 a 0 0
0 a 0 b 0 0
0 a 0 c 0 0
0 b 0 0 0 0
0 b 0 a 0 0
0 b 0 b 0 0
0 b 0 c 0 0
0 c 0 0 0 0
0 c 0 a 0 0
0 c 0 b 0 0
0 c 0 c 0 0
Is it a nice code?: No
Generator Matrix-182
a 0 a 0 a a
b 0 b 0 b b
0 c 0 0 0 0
0 0 c 0 0 c
0 0 0 c 0 0
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 0
0 0 0 c c c
0 0 c 0 0 c
0 0 c 0 c 0
0 0 c c 0 c
0 0 c c c 0
0 c 0 0 0 0
0 c 0 0 c c
0 c 0 c 0 0
0 c 0 c c c
0 c c 0 0 c
0 c c 0 c 0
0 c c c 0 c
0 c c c c 0
b 0 b 0 b b
b 0 b 0 a a
b 0 b c b b
b 0 b c a a
b 0 a 0 b a
b 0 a 0 a b
b 0 a c b a
b 0 a c a b
b c b 0 b b
b c b 0 a a
b c b c b b
b c b c a a
b c a 0 b a
b c a 0 a b
b c a c b a
b c a c a b
a 0 a 0 a a
a 0 a 0 b b
a 0 a c a a
a 0 a c b b
a 0 b 0 a b
a 0 b 0 b a
a 0 b c a b
a 0 b c b a
a c a 0 a a
a c a 0 b b
a c a c a a
a c a c b b
a c b 0 a b
a c b 0 b a
a c b c a b
a c b c b a
c 0 c 0 c c
c 0 c 0 0 0
c 0 c c c c
c 0 c c 0 0
c 0 0 0 c 0
c 0 0 0 0 c
c 0 0 c c 0
c 0 0 c 0 c
c c c 0 c c
c c c 0 0 0
c c c c c c
c c c c 0 0
c c 0 0 c 0
c c 0 0 0 c
c c 0 c c 0
c c 0 c 0 c
dmin: 1
Weight Enumerator: 1x0 + 2x1 + 7x2 + 12x3 + 15x4 + 18x5 + 9x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_b)4 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_b)4 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_b)4 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)4 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)4 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)4 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_c)6 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4
Dual Codewords:
0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0
0 a 0 0 0 0
0 a 0 a 0 0
0 a 0 b 0 0
0 a 0 c 0 0
0 b 0 0 0 0
0 b 0 a 0 0
0 b 0 b 0 0
0 b 0 c 0 0
0 c 0 0 0 0
0 c 0 a 0 0
0 c 0 b 0 0
0 c 0 c 0 0
Is it a nice code?: No
Generator Matrix-183
a 0 a 0 a a
b 0 b 0 b b
0 c 0 0 0 0
0 0 c 0 0 c
0 0 0 c 0 c
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 c
0 0 0 c c c
0 0 c 0 0 c
0 0 c 0 c c
0 0 c c 0 0
0 0 c c c 0
0 c 0 0 0 0
0 c 0 0 c 0
0 c 0 c 0 c
0 c 0 c c c
0 c c 0 0 c
0 c c 0 c c
0 c c c 0 0
0 c c c c 0
b 0 b 0 b b
b 0 b 0 a b
b 0 b c b a
b 0 b c a a
b 0 a 0 b a
b 0 a 0 a a
b 0 a c b b
b 0 a c a b
b c b 0 b b
b c b 0 a b
b c b c b a
b c b c a a
b c a 0 b a
b c a 0 a a
b c a c b b
b c a c a b
a 0 a 0 a a
a 0 a 0 b a
a 0 a c a b
a 0 a c b b
a 0 b 0 a b
a 0 b 0 b b
a 0 b c a a
a 0 b c b a
a c a 0 a a
a c a 0 b a
a c a c a b
a c a c b b
a c b 0 a b
a c b 0 b b
a c b c a a
a c b c b a
c 0 c 0 c c
c 0 c 0 0 c
c 0 c c c 0
c 0 c c 0 0
c 0 0 0 c 0
c 0 0 0 0 0
c 0 0 c c c
c 0 0 c 0 c
c c c 0 c c
c c c 0 0 c
c c c c c 0
c c c c 0 0
c c 0 0 c 0
c c 0 0 0 0
c c 0 c c c
c c 0 c 0 c
dmin: 1
Weight Enumerator: 1x0 + 3x1 + 6x2 + 10x3 + 17x4 + 19x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_b)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_b)4 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)4 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4
Dual Codewords:
0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0
0 a 0 0 0 0
0 a 0 a 0 0
0 a 0 b 0 0
0 a 0 c 0 0
0 b 0 0 0 0
0 b 0 a 0 0
0 b 0 b 0 0
0 b 0 c 0 0
0 c 0 0 0 0
0 c 0 a 0 0
0 c 0 b 0 0
0 c 0 c 0 0
Is it a nice code?: No
Generator Matrix-184
a 0 a 0 a a
b 0 b 0 b b
0 c 0 0 0 0
0 0 c 0 0 c
0 0 0 c 0 c
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 c
0 0 0 c c 0
0 0 c 0 0 c
0 0 c 0 c 0
0 0 c c 0 0
0 0 c c c c
0 c 0 0 0 0
0 c 0 0 c c
0 c 0 c 0 c
0 c 0 c c 0
0 c c 0 0 c
0 c c 0 c 0
0 c c c 0 0
0 c c c c c
b 0 b 0 b b
b 0 b 0 a a
b 0 b c b a
b 0 b c a b
b 0 a 0 b a
b 0 a 0 a b
b 0 a c b b
b 0 a c a a
b c b 0 b b
b c b 0 a a
b c b c b a
b c b c a b
b c a 0 b a
b c a 0 a b
b c a c b b
b c a c a a
a 0 a 0 a a
a 0 a 0 b b
a 0 a c a b
a 0 a c b a
a 0 b 0 a b
a 0 b 0 b a
a 0 b c a a
a 0 b c b b
a c a 0 a a
a c a 0 b b
a c a c a b
a c a c b a
a c b 0 a b
a c b 0 b a
a c b c a a
a c b c b b
c 0 c 0 c c
c 0 c 0 0 0
c 0 c c c 0
c 0 c c 0 c
c 0 0 0 c 0
c 0 0 0 0 c
c 0 0 c c c
c 0 0 c 0 0
c c c 0 c c
c c c 0 0 0
c c c c c 0
c c c c 0 c
c c 0 0 c 0
c c 0 0 0 c
c c 0 c c c
c c 0 c 0 0
dmin: 1
Weight Enumerator: 1x0 + 1x1 + 10x2 + 10x3 + 13x4 + 21x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_b)4 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)4 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3
Dual Codewords:
0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0
0 a 0 0 0 0
0 a 0 a 0 0
0 a 0 b 0 0
0 a 0 c 0 0
0 b 0 0 0 0
0 b 0 a 0 0
0 b 0 b 0 0
0 b 0 c 0 0
0 c 0 0 0 0
0 c 0 a 0 0
0 c 0 b 0 0
0 c 0 c 0 0
Is it a nice code?: No
Generator Matrix-185
a 0 a 0 a a
b 0 b 0 b b
0 c 0 0 0 c
0 0 c 0 0 0
0 0 0 c 0 0
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 0
0 0 0 c c 0
0 0 c 0 0 0
0 0 c 0 c 0
0 0 c c 0 0
0 0 c c c 0
0 c 0 0 0 c
0 c 0 0 c c
0 c 0 c 0 c
0 c 0 c c c
0 c c 0 0 c
0 c c 0 c c
0 c c c 0 c
0 c c c c c
b 0 b 0 b b
b 0 b 0 a b
b 0 b c b b
b 0 b c a b
b 0 a 0 b b
b 0 a 0 a b
b 0 a c b b
b 0 a c a b
b c b 0 b a
b c b 0 a a
b c b c b a
b c b c a a
b c a 0 b a
b c a 0 a a
b c a c b a
b c a c a a
a 0 a 0 a a
a 0 a 0 b a
a 0 a c a a
a 0 a c b a
a 0 b 0 a a
a 0 b 0 b a
a 0 b c a a
a 0 b c b a
a c a 0 a b
a c a 0 b b
a c a c a b
a c a c b b
a c b 0 a b
a c b 0 b b
a c b c a b
a c b c b b
c 0 c 0 c c
c 0 c 0 0 c
c 0 c c c c
c 0 c c 0 c
c 0 0 0 c c
c 0 0 0 0 c
c 0 0 c c c
c 0 0 c 0 c
c c c 0 c 0
c c c 0 0 0
c c c c c 0
c c c c 0 0
c c 0 0 c 0
c c 0 0 0 0
c c 0 c c 0
c c 0 c 0 0
dmin: 1
Weight Enumerator: 1x0 + 3x1 + 6x2 + 10x3 + 17x4 + 19x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)2 (X_b)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_b)4 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)1 (X_b)3 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)4 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)3 (X_b)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3
Dual Codewords:
0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0
0 a 0 0 0 0
0 a 0 a 0 0
0 a 0 b 0 0
0 a 0 c 0 0
0 b 0 0 0 0
0 b 0 a 0 0
0 b 0 b 0 0
0 b 0 c 0 0
0 c 0 0 0 0
0 c 0 a 0 0
0 c 0 b 0 0
0 c 0 c 0 0
Is it a nice code?: No
Generator Matrix-186
a 0 a 0 a a
b 0 b 0 b b
0 c 0 0 0 c
0 0 c 0 0 0
0 0 0 c 0 0
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 0
0 0 0 c c c
0 0 c 0 0 0
0 0 c 0 c c
0 0 c c 0 0
0 0 c c c c
0 c 0 0 0 c
0 c 0 0 c 0
0 c 0 c 0 c
0 c 0 c c 0
0 c c 0 0 c
0 c c 0 c 0
0 c c c 0 c
0 c c c c 0
b 0 b 0 b b
b 0 b 0 a a
b 0 b c b b
b 0 b c a a
b 0 a 0 b b
b 0 a 0 a a
b 0 a c b b
b 0 a c a a
b c b 0 b a
b c b 0 a b
b c b c b a
b c b c a b
b c a 0 b a
b c a 0 a b
b c a c b a
b c a c a b
a 0 a 0 a a
a 0 a 0 b b
a 0 a c a a
a 0 a c b b
a 0 b 0 a a
a 0 b 0 b b
a 0 b c a a
a 0 b c b b
a c a 0 a b
a c a 0 b a
a c a c a b
a c a c b a
a c b 0 a b
a c b 0 b a
a c b c a b
a c b c b a
c 0 c 0 c c
c 0 c 0 0 0
c 0 c c c c
c 0 c c 0 0
c 0 0 0 c c
c 0 0 0 0 0
c 0 0 c c c
c 0 0 c 0 0
c c c 0 c 0
c c c 0 0 c
c c c c c 0
c c c c 0 c
c c 0 0 c 0
c c 0 0 0 c
c c 0 c c 0
c c 0 c 0 c
dmin: 1
Weight Enumerator: 1x0 + 3x1 + 6x2 + 10x3 + 17x4 + 19x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_b)4 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)3 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)4 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)3 (X_b)1 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4
Dual Codewords:
0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0
0 a 0 0 0 0
0 a 0 a 0 0
0 a 0 b 0 0
0 a 0 c 0 0
0 b 0 0 0 0
0 b 0 a 0 0
0 b 0 b 0 0
0 b 0 c 0 0
0 c 0 0 0 0
0 c 0 a 0 0
0 c 0 b 0 0
0 c 0 c 0 0
Is it a nice code?: No
Generator Matrix-187
a 0 a 0 a a
b 0 b 0 b b
0 c 0 0 0 c
0 0 c 0 0 0
0 0 0 c 0 c
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 c
0 0 0 c c c
0 0 c 0 0 0
0 0 c 0 c 0
0 0 c c 0 c
0 0 c c c c
0 c 0 0 0 c
0 c 0 0 c c
0 c 0 c 0 0
0 c 0 c c 0
0 c c 0 0 c
0 c c 0 c c
0 c c c 0 0
0 c c c c 0
b 0 b 0 b b
b 0 b 0 a b
b 0 b c b a
b 0 b c a a
b 0 a 0 b b
b 0 a 0 a b
b 0 a c b a
b 0 a c a a
b c b 0 b a
b c b 0 a a
b c b c b b
b c b c a b
b c a 0 b a
b c a 0 a a
b c a c b b
b c a c a b
a 0 a 0 a a
a 0 a 0 b a
a 0 a c a b
a 0 a c b b
a 0 b 0 a a
a 0 b 0 b a
a 0 b c a b
a 0 b c b b
a c a 0 a b
a c a 0 b b
a c a c a a
a c a c b a
a c b 0 a b
a c b 0 b b
a c b c a a
a c b c b a
c 0 c 0 c c
c 0 c 0 0 c
c 0 c c c 0
c 0 c c 0 0
c 0 0 0 c c
c 0 0 0 0 c
c 0 0 c c 0
c 0 0 c 0 0
c c c 0 c 0
c c c 0 0 0
c c c c c c
c c c c 0 c
c c 0 0 c 0
c c 0 0 0 0
c c 0 c c c
c c 0 c 0 c
dmin: 1
Weight Enumerator: 1x0 + 2x1 + 7x2 + 12x3 + 15x4 + 18x5 + 9x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_b)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)3 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_b)4 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)3 (X_b)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)4 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_c)6 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4
Dual Codewords:
0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0
0 a 0 0 0 0
0 a 0 a 0 0
0 a 0 b 0 0
0 a 0 c 0 0
0 b 0 0 0 0
0 b 0 a 0 0
0 b 0 b 0 0
0 b 0 c 0 0
0 c 0 0 0 0
0 c 0 a 0 0
0 c 0 b 0 0
0 c 0 c 0 0
Is it a nice code?: No
Generator Matrix-188
a 0 a 0 a a
b 0 b 0 b b
0 c 0 0 0 c
0 0 c 0 0 0
0 0 0 c 0 c
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 c
0 0 0 c c 0
0 0 c 0 0 0
0 0 c 0 c c
0 0 c c 0 c
0 0 c c c 0
0 c 0 0 0 c
0 c 0 0 c 0
0 c 0 c 0 0
0 c 0 c c c
0 c c 0 0 c
0 c c 0 c 0
0 c c c 0 0
0 c c c c c
b 0 b 0 b b
b 0 b 0 a a
b 0 b c b a
b 0 b c a b
b 0 a 0 b b
b 0 a 0 a a
b 0 a c b a
b 0 a c a b
b c b 0 b a
b c b 0 a b
b c b c b b
b c b c a a
b c a 0 b a
b c a 0 a b
b c a c b b
b c a c a a
a 0 a 0 a a
a 0 a 0 b b
a 0 a c a b
a 0 a c b a
a 0 b 0 a a
a 0 b 0 b b
a 0 b c a b
a 0 b c b a
a c a 0 a b
a c a 0 b a
a c a c a a
a c a c b b
a c b 0 a b
a c b 0 b a
a c b c a a
a c b c b b
c 0 c 0 c c
c 0 c 0 0 0
c 0 c c c 0
c 0 c c 0 c
c 0 0 0 c c
c 0 0 0 0 0
c 0 0 c c 0
c 0 0 c 0 c
c c c 0 c 0
c c c 0 0 c
c c c c c c
c c c c 0 0
c c 0 0 c 0
c c 0 0 0 c
c c 0 c c c
c c 0 c 0 0
dmin: 1
Weight Enumerator: 1x0 + 2x1 + 7x2 + 12x3 + 15x4 + 18x5 + 9x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)1 (X_b)3 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_b)4 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)3 (X_b)1 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)4 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_c)6 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3
Dual Codewords:
0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0
0 a 0 0 0 0
0 a 0 a 0 0
0 a 0 b 0 0
0 a 0 c 0 0
0 b 0 0 0 0
0 b 0 a 0 0
0 b 0 b 0 0
0 b 0 c 0 0
0 c 0 0 0 0
0 c 0 a 0 0
0 c 0 b 0 0
0 c 0 c 0 0
Is it a nice code?: No
Generator Matrix-189
a 0 a 0 a a
b 0 b 0 b b
0 c 0 0 0 c
0 0 c 0 0 c
0 0 0 c 0 0
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 0
0 0 0 c c 0
0 0 c 0 0 c
0 0 c 0 c c
0 0 c c 0 c
0 0 c c c c
0 c 0 0 0 c
0 c 0 0 c c
0 c 0 c 0 c
0 c 0 c c c
0 c c 0 0 0
0 c c 0 c 0
0 c c c 0 0
0 c c c c 0
b 0 b 0 b b
b 0 b 0 a b
b 0 b c b b
b 0 b c a b
b 0 a 0 b a
b 0 a 0 a a
b 0 a c b a
b 0 a c a a
b c b 0 b a
b c b 0 a a
b c b c b a
b c b c a a
b c a 0 b b
b c a 0 a b
b c a c b b
b c a c a b
a 0 a 0 a a
a 0 a 0 b a
a 0 a c a a
a 0 a c b a
a 0 b 0 a b
a 0 b 0 b b
a 0 b c a b
a 0 b c b b
a c a 0 a b
a c a 0 b b
a c a c a b
a c a c b b
a c b 0 a a
a c b 0 b a
a c b c a a
a c b c b a
c 0 c 0 c c
c 0 c 0 0 c
c 0 c c c c
c 0 c c 0 c
c 0 0 0 c 0
c 0 0 0 0 0
c 0 0 c c 0
c 0 0 c 0 0
c c c 0 c 0
c c c 0 0 0
c c c c c 0
c c c c 0 0
c c 0 0 c c
c c 0 0 0 c
c c 0 c c c
c c 0 c 0 c
dmin: 1
Weight Enumerator: 1x0 + 3x1 + 6x2 + 10x3 + 17x4 + 19x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_b)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_b)4 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)4 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4
Dual Codewords:
0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0
0 a 0 0 0 0
0 a 0 a 0 0
0 a 0 b 0 0
0 a 0 c 0 0
0 b 0 0 0 0
0 b 0 a 0 0
0 b 0 b 0 0
0 b 0 c 0 0
0 c 0 0 0 0
0 c 0 a 0 0
0 c 0 b 0 0
0 c 0 c 0 0
Is it a nice code?: No
Generator Matrix-190
a 0 a 0 a a
b 0 b 0 b b
0 c 0 0 0 c
0 0 c 0 0 c
0 0 0 c 0 0
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 0
0 0 0 c c c
0 0 c 0 0 c
0 0 c 0 c 0
0 0 c c 0 c
0 0 c c c 0
0 c 0 0 0 c
0 c 0 0 c 0
0 c 0 c 0 c
0 c 0 c c 0
0 c c 0 0 0
0 c c 0 c c
0 c c c 0 0
0 c c c c c
b 0 b 0 b b
b 0 b 0 a a
b 0 b c b b
b 0 b c a a
b 0 a 0 b a
b 0 a 0 a b
b 0 a c b a
b 0 a c a b
b c b 0 b a
b c b 0 a b
b c b c b a
b c b c a b
b c a 0 b b
b c a 0 a a
b c a c b b
b c a c a a
a 0 a 0 a a
a 0 a 0 b b
a 0 a c a a
a 0 a c b b
a 0 b 0 a b
a 0 b 0 b a
a 0 b c a b
a 0 b c b a
a c a 0 a b
a c a 0 b a
a c a c a b
a c a c b a
a c b 0 a a
a c b 0 b b
a c b c a a
a c b c b b
c 0 c 0 c c
c 0 c 0 0 0
c 0 c c c c
c 0 c c 0 0
c 0 0 0 c 0
c 0 0 0 0 c
c 0 0 c c 0
c 0 0 c 0 c
c c c 0 c 0
c c c 0 0 c
c c c c c 0
c c c c 0 c
c c 0 0 c c
c c 0 0 0 0
c c 0 c c c
c c 0 c 0 0
dmin: 1
Weight Enumerator: 1x0 + 1x1 + 10x2 + 10x3 + 13x4 + 21x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_b)4 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)4 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3
Dual Codewords:
0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0
0 a 0 0 0 0
0 a 0 a 0 0
0 a 0 b 0 0
0 a 0 c 0 0
0 b 0 0 0 0
0 b 0 a 0 0
0 b 0 b 0 0
0 b 0 c 0 0
0 c 0 0 0 0
0 c 0 a 0 0
0 c 0 b 0 0
0 c 0 c 0 0
Is it a nice code?: No
Generator Matrix-191
a 0 a 0 a a
b 0 b 0 b b
0 c 0 0 0 c
0 0 c 0 0 c
0 0 0 c 0 c
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 c
0 0 0 c c c
0 0 c 0 0 c
0 0 c 0 c c
0 0 c c 0 0
0 0 c c c 0
0 c 0 0 0 c
0 c 0 0 c c
0 c 0 c 0 0
0 c 0 c c 0
0 c c 0 0 0
0 c c 0 c 0
0 c c c 0 c
0 c c c c c
b 0 b 0 b b
b 0 b 0 a b
b 0 b c b a
b 0 b c a a
b 0 a 0 b a
b 0 a 0 a a
b 0 a c b b
b 0 a c a b
b c b 0 b a
b c b 0 a a
b c b c b b
b c b c a b
b c a 0 b b
b c a 0 a b
b c a c b a
b c a c a a
a 0 a 0 a a
a 0 a 0 b a
a 0 a c a b
a 0 a c b b
a 0 b 0 a b
a 0 b 0 b b
a 0 b c a a
a 0 b c b a
a c a 0 a b
a c a 0 b b
a c a c a a
a c a c b a
a c b 0 a a
a c b 0 b a
a c b c a b
a c b c b b
c 0 c 0 c c
c 0 c 0 0 c
c 0 c c c 0
c 0 c c 0 0
c 0 0 0 c 0
c 0 0 0 0 0
c 0 0 c c c
c 0 0 c 0 c
c c c 0 c 0
c c c 0 0 0
c c c c c c
c c c c 0 c
c c 0 0 c c
c c 0 0 0 c
c c 0 c c 0
c c 0 c 0 0
dmin: 1
Weight Enumerator: 1x0 + 2x1 + 7x2 + 12x3 + 15x4 + 18x5 + 9x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)2 (X_b)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_b)4 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)4 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_c)6 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3
Dual Codewords:
0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0
0 a 0 0 0 0
0 a 0 a 0 0
0 a 0 b 0 0
0 a 0 c 0 0
0 b 0 0 0 0
0 b 0 a 0 0
0 b 0 b 0 0
0 b 0 c 0 0
0 c 0 0 0 0
0 c 0 a 0 0
0 c 0 b 0 0
0 c 0 c 0 0
Is it a nice code?: No
Generator Matrix-192
a 0 a 0 a a
b 0 b 0 b b
0 c 0 0 0 c
0 0 c 0 0 c
0 0 0 c 0 c
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 c
0 0 0 c c 0
0 0 c 0 0 c
0 0 c 0 c 0
0 0 c c 0 0
0 0 c c c c
0 c 0 0 0 c
0 c 0 0 c 0
0 c 0 c 0 0
0 c 0 c c c
0 c c 0 0 0
0 c c 0 c c
0 c c c 0 c
0 c c c c 0
b 0 b 0 b b
b 0 b 0 a a
b 0 b c b a
b 0 b c a b
b 0 a 0 b a
b 0 a 0 a b
b 0 a c b b
b 0 a c a a
b c b 0 b a
b c b 0 a b
b c b c b b
b c b c a a
b c a 0 b b
b c a 0 a a
b c a c b a
b c a c a b
a 0 a 0 a a
a 0 a 0 b b
a 0 a c a b
a 0 a c b a
a 0 b 0 a b
a 0 b 0 b a
a 0 b c a a
a 0 b c b b
a c a 0 a b
a c a 0 b a
a c a c a a
a c a c b b
a c b 0 a a
a c b 0 b b
a c b c a b
a c b c b a
c 0 c 0 c c
c 0 c 0 0 0
c 0 c c c 0
c 0 c c 0 c
c 0 0 0 c 0
c 0 0 0 0 c
c 0 0 c c c
c 0 0 c 0 0
c c c 0 c 0
c c c 0 0 c
c c c c c c
c c c c 0 0
c c 0 0 c c
c c 0 0 0 0
c c 0 c c 0
c c 0 c 0 c
dmin: 2
Weight Enumerator: 1x0 + 0x1 + 15x2 + 0x3 + 23x4 + 16x5 + 9x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_b)4 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)4 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_c)6 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4
Dual Codewords:
0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0
0 a 0 0 0 0
0 a 0 a 0 0
0 a 0 b 0 0
0 a 0 c 0 0
0 b 0 0 0 0
0 b 0 a 0 0
0 b 0 b 0 0
0 b 0 c 0 0
0 c 0 0 0 0
0 c 0 a 0 0
0 c 0 b 0 0
0 c 0 c 0 0
Is it a nice code?: No
Generator Matrix-193
a 0 a a 0 0
b 0 b b 0 0
0 c 0 0 0 0
0 0 c 0 0 0
0 0 0 c 0 0
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 0
0 0 0 c c 0
0 0 c 0 0 0
0 0 c 0 c 0
0 0 c c 0 0
0 0 c c c 0
0 c 0 0 0 0
0 c 0 0 c 0
0 c 0 c 0 0
0 c 0 c c 0
0 c c 0 0 0
0 c c 0 c 0
0 c c c 0 0
0 c c c c 0
b 0 b b 0 0
b 0 b b c 0
b 0 b a 0 0
b 0 b a c 0
b 0 a b 0 0
b 0 a b c 0
b 0 a a 0 0
b 0 a a c 0
b c b b 0 0
b c b b c 0
b c b a 0 0
b c b a c 0
b c a b 0 0
b c a b c 0
b c a a 0 0
b c a a c 0
a 0 a a 0 0
a 0 a a c 0
a 0 a b 0 0
a 0 a b c 0
a 0 b a 0 0
a 0 b a c 0
a 0 b b 0 0
a 0 b b c 0
a c a a 0 0
a c a a c 0
a c a b 0 0
a c a b c 0
a c b a 0 0
a c b a c 0
a c b b 0 0
a c b b c 0
c 0 c c 0 0
c 0 c c c 0
c 0 c 0 0 0
c 0 c 0 c 0
c 0 0 c 0 0
c 0 0 c c 0
c 0 0 0 0 0
c 0 0 0 c 0
c c c c 0 0
c c c c c 0
c c c 0 0 0
c c c 0 c 0
c c 0 c 0 0
c c 0 c c 0
c c 0 0 0 0
c c 0 0 c 0
dmin: 1
Weight Enumerator: 1x0 + 5x1 + 10x2 + 18x3 + 21x4 + 9x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_b)3 + (X_0)2 (X_b)3 (X_c)1 + (X_0)3 (X_a)1 (X_b)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_a)1 (X_b)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_a)2 (X_b)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_b)3 (X_c)1 + (X_0)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)3 (X_c)1 + (X_0)3 (X_a)2 (X_b)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_a)2 (X_b)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_a)1 (X_b)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)3 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c
0 a 0 0 0 0
0 a 0 0 0 a
0 a 0 0 0 b
0 a 0 0 0 c
0 a 0 0 a 0
0 a 0 0 a a
0 a 0 0 a b
0 a 0 0 a c
0 a 0 0 b 0
0 a 0 0 b a
0 a 0 0 b b
0 a 0 0 b c
0 a 0 0 c 0
0 a 0 0 c a
0 a 0 0 c b
0 a 0 0 c c
0 b 0 0 0 0
0 b 0 0 0 a
0 b 0 0 0 b
0 b 0 0 0 c
0 b 0 0 a 0
0 b 0 0 a a
0 b 0 0 a b
0 b 0 0 a c
0 b 0 0 b 0
0 b 0 0 b a
0 b 0 0 b b
0 b 0 0 b c
0 b 0 0 c 0
0 b 0 0 c a
0 b 0 0 c b
0 b 0 0 c c
0 c 0 0 0 0
0 c 0 0 0 a
0 c 0 0 0 b
0 c 0 0 0 c
0 c 0 0 a 0
0 c 0 0 a a
0 c 0 0 a b
0 c 0 0 a c
0 c 0 0 b 0
0 c 0 0 b a
0 c 0 0 b b
0 c 0 0 b c
0 c 0 0 c 0
0 c 0 0 c a
0 c 0 0 c b
0 c 0 0 c c
Is it a nice code?: Yes
Generator Matrix-194
a 0 a a 0 0
b 0 b b 0 0
0 c 0 0 0 0
0 0 c 0 0 0
0 0 0 c 0 0
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 0
0 0 0 c c c
0 0 c 0 0 0
0 0 c 0 c c
0 0 c c 0 0
0 0 c c c c
0 c 0 0 0 0
0 c 0 0 c c
0 c 0 c 0 0
0 c 0 c c c
0 c c 0 0 0
0 c c 0 c c
0 c c c 0 0
0 c c c c c
b 0 b b 0 0
b 0 b b c c
b 0 b a 0 0
b 0 b a c c
b 0 a b 0 0
b 0 a b c c
b 0 a a 0 0
b 0 a a c c
b c b b 0 0
b c b b c c
b c b a 0 0
b c b a c c
b c a b 0 0
b c a b c c
b c a a 0 0
b c a a c c
a 0 a a 0 0
a 0 a a c c
a 0 a b 0 0
a 0 a b c c
a 0 b a 0 0
a 0 b a c c
a 0 b b 0 0
a 0 b b c c
a c a a 0 0
a c a a c c
a c a b 0 0
a c a b c c
a c b a 0 0
a c b a c c
a c b b 0 0
a c b b c c
c 0 c c 0 0
c 0 c c c c
c 0 c 0 0 0
c 0 c 0 c c
c 0 0 c 0 0
c 0 0 c c c
c 0 0 0 0 0
c 0 0 0 c c
c c c c 0 0
c c c c c c
c c c 0 0 0
c c c 0 c c
c c 0 c 0 0
c c 0 c c c
c c 0 0 0 0
c c 0 0 c c
dmin: 1
Weight Enumerator: 1x0 + 4x1 + 7x2 + 16x3 + 15x4 + 12x5 + 9x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)3 (X_b)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)1 (X_b)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)1 (X_b)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)2 (X_b)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_b)3 (X_c)1 + (X_b)3 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_a)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)3 (X_a)2 (X_b)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)2 (X_b)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)1 (X_b)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)3 (X_c)1 + (X_a)3 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_c)6 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c
0 a 0 0 0 0
0 a 0 0 0 a
0 a 0 0 0 b
0 a 0 0 0 c
0 a 0 0 a 0
0 a 0 0 a a
0 a 0 0 a b
0 a 0 0 a c
0 a 0 0 b 0
0 a 0 0 b a
0 a 0 0 b b
0 a 0 0 b c
0 a 0 0 c 0
0 a 0 0 c a
0 a 0 0 c b
0 a 0 0 c c
0 b 0 0 0 0
0 b 0 0 0 a
0 b 0 0 0 b
0 b 0 0 0 c
0 b 0 0 a 0
0 b 0 0 a a
0 b 0 0 a b
0 b 0 0 a c
0 b 0 0 b 0
0 b 0 0 b a
0 b 0 0 b b
0 b 0 0 b c
0 b 0 0 c 0
0 b 0 0 c a
0 b 0 0 c b
0 b 0 0 c c
0 c 0 0 0 0
0 c 0 0 0 a
0 c 0 0 0 b
0 c 0 0 0 c
0 c 0 0 a 0
0 c 0 0 a a
0 c 0 0 a b
0 c 0 0 a c
0 c 0 0 b 0
0 c 0 0 b a
0 c 0 0 b b
0 c 0 0 b c
0 c 0 0 c 0
0 c 0 0 c a
0 c 0 0 c b
0 c 0 0 c c
Is it a nice code?: Yes
Generator Matrix-195
a 0 a a 0 0
b 0 b b 0 0
0 c 0 0 0 0
0 0 c 0 0 0
0 0 0 c 0 c
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 c
0 0 0 c c c
0 0 c 0 0 0
0 0 c 0 c 0
0 0 c c 0 c
0 0 c c c c
0 c 0 0 0 0
0 c 0 0 c 0
0 c 0 c 0 c
0 c 0 c c c
0 c c 0 0 0
0 c c 0 c 0
0 c c c 0 c
0 c c c c c
b 0 b b 0 0
b 0 b b c 0
b 0 b a 0 c
b 0 b a c c
b 0 a b 0 0
b 0 a b c 0
b 0 a a 0 c
b 0 a a c c
b c b b 0 0
b c b b c 0
b c b a 0 c
b c b a c c
b c a b 0 0
b c a b c 0
b c a a 0 c
b c a a c c
a 0 a a 0 0
a 0 a a c 0
a 0 a b 0 c
a 0 a b c c
a 0 b a 0 0
a 0 b a c 0
a 0 b b 0 c
a 0 b b c c
a c a a 0 0
a c a a c 0
a c a b 0 c
a c a b c c
a c b a 0 0
a c b a c 0
a c b b 0 c
a c b b c c
c 0 c c 0 0
c 0 c c c 0
c 0 c 0 0 c
c 0 c 0 c c
c 0 0 c 0 0
c 0 0 c c 0
c 0 0 0 0 c
c 0 0 0 c c
c c c c 0 0
c c c c c 0
c c c 0 0 c
c c c 0 c c
c c 0 c 0 0
c c 0 c c 0
c c 0 0 0 c
c c 0 0 c c
dmin: 1
Weight Enumerator: 1x0 + 3x1 + 6x2 + 14x3 + 21x4 + 15x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)3 (X_b)3 + (X_0)2 (X_b)3 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)1 (X_b)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_b)3 (X_c)1 + (X_0)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_a)3 + (X_0)2 (X_a)3 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)2 (X_b)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)3 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c
0 a 0 0 0 0
0 a 0 0 0 a
0 a 0 0 0 b
0 a 0 0 0 c
0 a 0 0 a 0
0 a 0 0 a a
0 a 0 0 a b
0 a 0 0 a c
0 a 0 0 b 0
0 a 0 0 b a
0 a 0 0 b b
0 a 0 0 b c
0 a 0 0 c 0
0 a 0 0 c a
0 a 0 0 c b
0 a 0 0 c c
0 b 0 0 0 0
0 b 0 0 0 a
0 b 0 0 0 b
0 b 0 0 0 c
0 b 0 0 a 0
0 b 0 0 a a
0 b 0 0 a b
0 b 0 0 a c
0 b 0 0 b 0
0 b 0 0 b a
0 b 0 0 b b
0 b 0 0 b c
0 b 0 0 c 0
0 b 0 0 c a
0 b 0 0 c b
0 b 0 0 c c
0 c 0 0 0 0
0 c 0 0 0 a
0 c 0 0 0 b
0 c 0 0 0 c
0 c 0 0 a 0
0 c 0 0 a a
0 c 0 0 a b
0 c 0 0 a c
0 c 0 0 b 0
0 c 0 0 b a
0 c 0 0 b b
0 c 0 0 b c
0 c 0 0 c 0
0 c 0 0 c a
0 c 0 0 c b
0 c 0 0 c c
Is it a nice code?: Yes
Generator Matrix-196
a 0 a a 0 0
b 0 b b 0 0
0 c 0 0 0 0
0 0 c 0 0 0
0 0 0 c 0 c
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 c
0 0 0 c c 0
0 0 c 0 0 0
0 0 c 0 c c
0 0 c c 0 c
0 0 c c c 0
0 c 0 0 0 0
0 c 0 0 c c
0 c 0 c 0 c
0 c 0 c c 0
0 c c 0 0 0
0 c c 0 c c
0 c c c 0 c
0 c c c c 0
b 0 b b 0 0
b 0 b b c c
b 0 b a 0 c
b 0 b a c 0
b 0 a b 0 0
b 0 a b c c
b 0 a a 0 c
b 0 a a c 0
b c b b 0 0
b c b b c c
b c b a 0 c
b c b a c 0
b c a b 0 0
b c a b c c
b c a a 0 c
b c a a c 0
a 0 a a 0 0
a 0 a a c c
a 0 a b 0 c
a 0 a b c 0
a 0 b a 0 0
a 0 b a c c
a 0 b b 0 c
a 0 b b c 0
a c a a 0 0
a c a a c c
a c a b 0 c
a c a b c 0
a c b a 0 0
a c b a c c
a c b b 0 c
a c b b c 0
c 0 c c 0 0
c 0 c c c c
c 0 c 0 0 c
c 0 c 0 c 0
c 0 0 c 0 0
c 0 0 c c c
c 0 0 0 0 c
c 0 0 0 c 0
c c c c 0 0
c c c c c c
c c c 0 0 c
c c c 0 c 0
c c 0 c 0 0
c c 0 c c c
c c 0 0 0 c
c c 0 0 c 0
dmin: 1
Weight Enumerator: 1x0 + 2x1 + 7x2 + 16x3 + 19x4 + 14x5 + 5x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)3 (X_b)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_a)1 (X_b)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_b)3 (X_c)1 + (X_b)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_a)2 (X_b)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)3 (X_c)1 + (X_a)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_c)6 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c
0 a 0 0 0 0
0 a 0 0 0 a
0 a 0 0 0 b
0 a 0 0 0 c
0 a 0 0 a 0
0 a 0 0 a a
0 a 0 0 a b
0 a 0 0 a c
0 a 0 0 b 0
0 a 0 0 b a
0 a 0 0 b b
0 a 0 0 b c
0 a 0 0 c 0
0 a 0 0 c a
0 a 0 0 c b
0 a 0 0 c c
0 b 0 0 0 0
0 b 0 0 0 a
0 b 0 0 0 b
0 b 0 0 0 c
0 b 0 0 a 0
0 b 0 0 a a
0 b 0 0 a b
0 b 0 0 a c
0 b 0 0 b 0
0 b 0 0 b a
0 b 0 0 b b
0 b 0 0 b c
0 b 0 0 c 0
0 b 0 0 c a
0 b 0 0 c b
0 b 0 0 c c
0 c 0 0 0 0
0 c 0 0 0 a
0 c 0 0 0 b
0 c 0 0 0 c
0 c 0 0 a 0
0 c 0 0 a a
0 c 0 0 a b
0 c 0 0 a c
0 c 0 0 b 0
0 c 0 0 b a
0 c 0 0 b b
0 c 0 0 b c
0 c 0 0 c 0
0 c 0 0 c a
0 c 0 0 c b
0 c 0 0 c c
Is it a nice code?: Yes
Generator Matrix-197
a 0 a a 0 0
b 0 b b 0 0
0 c 0 0 0 0
0 0 c 0 0 c
0 0 0 c 0 0
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 0
0 0 0 c c 0
0 0 c 0 0 c
0 0 c 0 c c
0 0 c c 0 c
0 0 c c c c
0 c 0 0 0 0
0 c 0 0 c 0
0 c 0 c 0 0
0 c 0 c c 0
0 c c 0 0 c
0 c c 0 c c
0 c c c 0 c
0 c c c c c
b 0 b b 0 0
b 0 b b c 0
b 0 b a 0 0
b 0 b a c 0
b 0 a b 0 c
b 0 a b c c
b 0 a a 0 c
b 0 a a c c
b c b b 0 0
b c b b c 0
b c b a 0 0
b c b a c 0
b c a b 0 c
b c a b c c
b c a a 0 c
b c a a c c
a 0 a a 0 0
a 0 a a c 0
a 0 a b 0 0
a 0 a b c 0
a 0 b a 0 c
a 0 b a c c
a 0 b b 0 c
a 0 b b c c
a c a a 0 0
a c a a c 0
a c a b 0 0
a c a b c 0
a c b a 0 c
a c b a c c
a c b b 0 c
a c b b c c
c 0 c c 0 0
c 0 c c c 0
c 0 c 0 0 0
c 0 c 0 c 0
c 0 0 c 0 c
c 0 0 c c c
c 0 0 0 0 c
c 0 0 0 c c
c c c c 0 0
c c c c c 0
c c c 0 0 0
c c c 0 c 0
c c 0 c 0 c
c c 0 c c c
c c 0 0 0 c
c c 0 0 c c
dmin: 1
Weight Enumerator: 1x0 + 3x1 + 6x2 + 14x3 + 21x4 + 15x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)3 (X_b)3 + (X_0)2 (X_b)3 (X_c)1 + (X_0)3 (X_a)1 (X_b)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_b)3 (X_c)1 + (X_0)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_a)3 + (X_0)2 (X_a)3 (X_c)1 + (X_0)3 (X_a)2 (X_b)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)3 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c
0 a 0 0 0 0
0 a 0 0 0 a
0 a 0 0 0 b
0 a 0 0 0 c
0 a 0 0 a 0
0 a 0 0 a a
0 a 0 0 a b
0 a 0 0 a c
0 a 0 0 b 0
0 a 0 0 b a
0 a 0 0 b b
0 a 0 0 b c
0 a 0 0 c 0
0 a 0 0 c a
0 a 0 0 c b
0 a 0 0 c c
0 b 0 0 0 0
0 b 0 0 0 a
0 b 0 0 0 b
0 b 0 0 0 c
0 b 0 0 a 0
0 b 0 0 a a
0 b 0 0 a b
0 b 0 0 a c
0 b 0 0 b 0
0 b 0 0 b a
0 b 0 0 b b
0 b 0 0 b c
0 b 0 0 c 0
0 b 0 0 c a
0 b 0 0 c b
0 b 0 0 c c
0 c 0 0 0 0
0 c 0 0 0 a
0 c 0 0 0 b
0 c 0 0 0 c
0 c 0 0 a 0
0 c 0 0 a a
0 c 0 0 a b
0 c 0 0 a c
0 c 0 0 b 0
0 c 0 0 b a
0 c 0 0 b b
0 c 0 0 b c
0 c 0 0 c 0
0 c 0 0 c a
0 c 0 0 c b
0 c 0 0 c c
Is it a nice code?: Yes
Generator Matrix-198
a 0 a a 0 0
b 0 b b 0 0
0 c 0 0 0 0
0 0 c 0 0 c
0 0 0 c 0 0
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 0
0 0 0 c c c
0 0 c 0 0 c
0 0 c 0 c 0
0 0 c c 0 c
0 0 c c c 0
0 c 0 0 0 0
0 c 0 0 c c
0 c 0 c 0 0
0 c 0 c c c
0 c c 0 0 c
0 c c 0 c 0
0 c c c 0 c
0 c c c c 0
b 0 b b 0 0
b 0 b b c c
b 0 b a 0 0
b 0 b a c c
b 0 a b 0 c
b 0 a b c 0
b 0 a a 0 c
b 0 a a c 0
b c b b 0 0
b c b b c c
b c b a 0 0
b c b a c c
b c a b 0 c
b c a b c 0
b c a a 0 c
b c a a c 0
a 0 a a 0 0
a 0 a a c c
a 0 a b 0 0
a 0 a b c c
a 0 b a 0 c
a 0 b a c 0
a 0 b b 0 c
a 0 b b c 0
a c a a 0 0
a c a a c c
a c a b 0 0
a c a b c c
a c b a 0 c
a c b a c 0
a c b b 0 c
a c b b c 0
c 0 c c 0 0
c 0 c c c c
c 0 c 0 0 0
c 0 c 0 c c
c 0 0 c 0 c
c 0 0 c c 0
c 0 0 0 0 c
c 0 0 0 c 0
c c c c 0 0
c c c c c c
c c c 0 0 0
c c c 0 c c
c c 0 c 0 c
c c 0 c c 0
c c 0 0 0 c
c c 0 0 c 0
dmin: 1
Weight Enumerator: 1x0 + 2x1 + 7x2 + 16x3 + 19x4 + 14x5 + 5x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)3 (X_b)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)1 (X_b)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_b)3 (X_c)1 + (X_b)3 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)3 (X_a)2 (X_b)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)3 (X_c)1 + (X_a)3 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_c)6 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c
0 a 0 0 0 0
0 a 0 0 0 a
0 a 0 0 0 b
0 a 0 0 0 c
0 a 0 0 a 0
0 a 0 0 a a
0 a 0 0 a b
0 a 0 0 a c
0 a 0 0 b 0
0 a 0 0 b a
0 a 0 0 b b
0 a 0 0 b c
0 a 0 0 c 0
0 a 0 0 c a
0 a 0 0 c b
0 a 0 0 c c
0 b 0 0 0 0
0 b 0 0 0 a
0 b 0 0 0 b
0 b 0 0 0 c
0 b 0 0 a 0
0 b 0 0 a a
0 b 0 0 a b
0 b 0 0 a c
0 b 0 0 b 0
0 b 0 0 b a
0 b 0 0 b b
0 b 0 0 b c
0 b 0 0 c 0
0 b 0 0 c a
0 b 0 0 c b
0 b 0 0 c c
0 c 0 0 0 0
0 c 0 0 0 a
0 c 0 0 0 b
0 c 0 0 0 c
0 c 0 0 a 0
0 c 0 0 a a
0 c 0 0 a b
0 c 0 0 a c
0 c 0 0 b 0
0 c 0 0 b a
0 c 0 0 b b
0 c 0 0 b c
0 c 0 0 c 0
0 c 0 0 c a
0 c 0 0 c b
0 c 0 0 c c
Is it a nice code?: Yes
Generator Matrix-199
a 0 a a 0 0
b 0 b b 0 0
0 c 0 0 0 0
0 0 c 0 0 c
0 0 0 c 0 c
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 c
0 0 0 c c c
0 0 c 0 0 c
0 0 c 0 c c
0 0 c c 0 0
0 0 c c c 0
0 c 0 0 0 0
0 c 0 0 c 0
0 c 0 c 0 c
0 c 0 c c c
0 c c 0 0 c
0 c c 0 c c
0 c c c 0 0
0 c c c c 0
b 0 b b 0 0
b 0 b b c 0
b 0 b a 0 c
b 0 b a c c
b 0 a b 0 c
b 0 a b c c
b 0 a a 0 0
b 0 a a c 0
b c b b 0 0
b c b b c 0
b c b a 0 c
b c b a c c
b c a b 0 c
b c a b c c
b c a a 0 0
b c a a c 0
a 0 a a 0 0
a 0 a a c 0
a 0 a b 0 c
a 0 a b c c
a 0 b a 0 c
a 0 b a c c
a 0 b b 0 0
a 0 b b c 0
a c a a 0 0
a c a a c 0
a c a b 0 c
a c a b c c
a c b a 0 c
a c b a c c
a c b b 0 0
a c b b c 0
c 0 c c 0 0
c 0 c c c 0
c 0 c 0 0 c
c 0 c 0 c c
c 0 0 c 0 c
c 0 0 c c c
c 0 0 0 0 0
c 0 0 0 c 0
c c c c 0 0
c c c c c 0
c c c 0 0 c
c c c 0 c c
c c 0 c 0 c
c c 0 c c c
c c 0 0 0 0
c c 0 0 c 0
dmin: 1
Weight Enumerator: 1x0 + 3x1 + 6x2 + 14x3 + 21x4 + 15x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_b)3 + (X_0)2 (X_b)3 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)2 (X_b)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_b)3 (X_c)1 + (X_0)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)3 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)1 (X_b)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)3 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c
0 a 0 0 0 0
0 a 0 0 0 a
0 a 0 0 0 b
0 a 0 0 0 c
0 a 0 0 a 0
0 a 0 0 a a
0 a 0 0 a b
0 a 0 0 a c
0 a 0 0 b 0
0 a 0 0 b a
0 a 0 0 b b
0 a 0 0 b c
0 a 0 0 c 0
0 a 0 0 c a
0 a 0 0 c b
0 a 0 0 c c
0 b 0 0 0 0
0 b 0 0 0 a
0 b 0 0 0 b
0 b 0 0 0 c
0 b 0 0 a 0
0 b 0 0 a a
0 b 0 0 a b
0 b 0 0 a c
0 b 0 0 b 0
0 b 0 0 b a
0 b 0 0 b b
0 b 0 0 b c
0 b 0 0 c 0
0 b 0 0 c a
0 b 0 0 c b
0 b 0 0 c c
0 c 0 0 0 0
0 c 0 0 0 a
0 c 0 0 0 b
0 c 0 0 0 c
0 c 0 0 a 0
0 c 0 0 a a
0 c 0 0 a b
0 c 0 0 a c
0 c 0 0 b 0
0 c 0 0 b a
0 c 0 0 b b
0 c 0 0 b c
0 c 0 0 c 0
0 c 0 0 c a
0 c 0 0 c b
0 c 0 0 c c
Is it a nice code?: Yes
Generator Matrix-200
a 0 a a 0 0
b 0 b b 0 0
0 c 0 0 0 0
0 0 c 0 0 c
0 0 0 c 0 c
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 c
0 0 0 c c 0
0 0 c 0 0 c
0 0 c 0 c 0
0 0 c c 0 0
0 0 c c c c
0 c 0 0 0 0
0 c 0 0 c c
0 c 0 c 0 c
0 c 0 c c 0
0 c c 0 0 c
0 c c 0 c 0
0 c c c 0 0
0 c c c c c
b 0 b b 0 0
b 0 b b c c
b 0 b a 0 c
b 0 b a c 0
b 0 a b 0 c
b 0 a b c 0
b 0 a a 0 0
b 0 a a c c
b c b b 0 0
b c b b c c
b c b a 0 c
b c b a c 0
b c a b 0 c
b c a b c 0
b c a a 0 0
b c a a c c
a 0 a a 0 0
a 0 a a c c
a 0 a b 0 c
a 0 a b c 0
a 0 b a 0 c
a 0 b a c 0
a 0 b b 0 0
a 0 b b c c
a c a a 0 0
a c a a c c
a c a b 0 c
a c a b c 0
a c b a 0 c
a c b a c 0
a c b b 0 0
a c b b c c
c 0 c c 0 0
c 0 c c c c
c 0 c 0 0 c
c 0 c 0 c 0
c 0 0 c 0 c
c 0 0 c c 0
c 0 0 0 0 0
c 0 0 0 c c
c c c c 0 0
c c c c c c
c c c 0 0 c
c c c 0 c 0
c c 0 c 0 c
c c 0 c c 0
c c 0 0 0 0
c c 0 0 c c
dmin: 1
Weight Enumerator: 1x0 + 2x1 + 7x2 + 16x3 + 19x4 + 14x5 + 5x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)3 (X_b)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_a)2 (X_b)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_b)3 (X_c)1 + (X_b)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_a)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_a)1 (X_b)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)3 (X_c)1 + (X_a)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_c)6 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c
0 a 0 0 0 0
0 a 0 0 0 a
0 a 0 0 0 b
0 a 0 0 0 c
0 a 0 0 a 0
0 a 0 0 a a
0 a 0 0 a b
0 a 0 0 a c
0 a 0 0 b 0
0 a 0 0 b a
0 a 0 0 b b
0 a 0 0 b c
0 a 0 0 c 0
0 a 0 0 c a
0 a 0 0 c b
0 a 0 0 c c
0 b 0 0 0 0
0 b 0 0 0 a
0 b 0 0 0 b
0 b 0 0 0 c
0 b 0 0 a 0
0 b 0 0 a a
0 b 0 0 a b
0 b 0 0 a c
0 b 0 0 b 0
0 b 0 0 b a
0 b 0 0 b b
0 b 0 0 b c
0 b 0 0 c 0
0 b 0 0 c a
0 b 0 0 c b
0 b 0 0 c c
0 c 0 0 0 0
0 c 0 0 0 a
0 c 0 0 0 b
0 c 0 0 0 c
0 c 0 0 a 0
0 c 0 0 a a
0 c 0 0 a b
0 c 0 0 a c
0 c 0 0 b 0
0 c 0 0 b a
0 c 0 0 b b
0 c 0 0 b c
0 c 0 0 c 0
0 c 0 0 c a
0 c 0 0 c b
0 c 0 0 c c
Is it a nice code?: Yes
Generator Matrix-201
a 0 a a 0 0
b 0 b b 0 0
0 c 0 0 0 c
0 0 c 0 0 0
0 0 0 c 0 0
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 0
0 0 0 c c 0
0 0 c 0 0 0
0 0 c 0 c 0
0 0 c c 0 0
0 0 c c c 0
0 c 0 0 0 c
0 c 0 0 c c
0 c 0 c 0 c
0 c 0 c c c
0 c c 0 0 c
0 c c 0 c c
0 c c c 0 c
0 c c c c c
b 0 b b 0 0
b 0 b b c 0
b 0 b a 0 0
b 0 b a c 0
b 0 a b 0 0
b 0 a b c 0
b 0 a a 0 0
b 0 a a c 0
b c b b 0 c
b c b b c c
b c b a 0 c
b c b a c c
b c a b 0 c
b c a b c c
b c a a 0 c
b c a a c c
a 0 a a 0 0
a 0 a a c 0
a 0 a b 0 0
a 0 a b c 0
a 0 b a 0 0
a 0 b a c 0
a 0 b b 0 0
a 0 b b c 0
a c a a 0 c
a c a a c c
a c a b 0 c
a c a b c c
a c b a 0 c
a c b a c c
a c b b 0 c
a c b b c c
c 0 c c 0 0
c 0 c c c 0
c 0 c 0 0 0
c 0 c 0 c 0
c 0 0 c 0 0
c 0 0 c c 0
c 0 0 0 0 0
c 0 0 0 c 0
c c c c 0 c
c c c c c c
c c c 0 0 c
c c c 0 c c
c c 0 c 0 c
c c 0 c c c
c c 0 0 0 c
c c 0 0 c c
dmin: 1
Weight Enumerator: 1x0 + 4x1 + 7x2 + 16x3 + 15x4 + 12x5 + 9x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)3 (X_b)3 + (X_0)2 (X_b)3 (X_c)1 + (X_0)3 (X_a)1 (X_b)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_a)1 (X_b)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_a)2 (X_b)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_b)3 (X_c)2 + (X_b)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_a)3 + (X_0)2 (X_a)3 (X_c)1 + (X_0)3 (X_a)2 (X_b)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_a)2 (X_b)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_a)1 (X_b)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_a)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5 + (X_c)6 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c
0 a 0 0 0 0
0 a 0 0 0 a
0 a 0 0 0 b
0 a 0 0 0 c
0 a 0 0 a 0
0 a 0 0 a a
0 a 0 0 a b
0 a 0 0 a c
0 a 0 0 b 0
0 a 0 0 b a
0 a 0 0 b b
0 a 0 0 b c
0 a 0 0 c 0
0 a 0 0 c a
0 a 0 0 c b
0 a 0 0 c c
0 b 0 0 0 0
0 b 0 0 0 a
0 b 0 0 0 b
0 b 0 0 0 c
0 b 0 0 a 0
0 b 0 0 a a
0 b 0 0 a b
0 b 0 0 a c
0 b 0 0 b 0
0 b 0 0 b a
0 b 0 0 b b
0 b 0 0 b c
0 b 0 0 c 0
0 b 0 0 c a
0 b 0 0 c b
0 b 0 0 c c
0 c 0 0 0 0
0 c 0 0 0 a
0 c 0 0 0 b
0 c 0 0 0 c
0 c 0 0 a 0
0 c 0 0 a a
0 c 0 0 a b
0 c 0 0 a c
0 c 0 0 b 0
0 c 0 0 b a
0 c 0 0 b b
0 c 0 0 b c
0 c 0 0 c 0
0 c 0 0 c a
0 c 0 0 c b
0 c 0 0 c c
Is it a nice code?: Yes
Generator Matrix-202
a 0 a a 0 0
b 0 b b 0 0
0 c 0 0 0 c
0 0 c 0 0 0
0 0 0 c 0 0
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 0
0 0 0 c c c
0 0 c 0 0 0
0 0 c 0 c c
0 0 c c 0 0
0 0 c c c c
0 c 0 0 0 c
0 c 0 0 c 0
0 c 0 c 0 c
0 c 0 c c 0
0 c c 0 0 c
0 c c 0 c 0
0 c c c 0 c
0 c c c c 0
b 0 b b 0 0
b 0 b b c c
b 0 b a 0 0
b 0 b a c c
b 0 a b 0 0
b 0 a b c c
b 0 a a 0 0
b 0 a a c c
b c b b 0 c
b c b b c 0
b c b a 0 c
b c b a c 0
b c a b 0 c
b c a b c 0
b c a a 0 c
b c a a c 0
a 0 a a 0 0
a 0 a a c c
a 0 a b 0 0
a 0 a b c c
a 0 b a 0 0
a 0 b a c c
a 0 b b 0 0
a 0 b b c c
a c a a 0 c
a c a a c 0
a c a b 0 c
a c a b c 0
a c b a 0 c
a c b a c 0
a c b b 0 c
a c b b c 0
c 0 c c 0 0
c 0 c c c c
c 0 c 0 0 0
c 0 c 0 c c
c 0 0 c 0 0
c 0 0 c c c
c 0 0 0 0 0
c 0 0 0 c c
c c c c 0 c
c c c c c 0
c c c 0 0 c
c c c 0 c 0
c c 0 c 0 c
c c 0 c c 0
c c 0 0 0 c
c c 0 0 c 0
dmin: 1
Weight Enumerator: 1x0 + 3x1 + 6x2 + 18x3 + 9x4 + 27x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)3 (X_b)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)1 (X_b)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)1 (X_b)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)2 (X_b)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_b)3 (X_c)2 + (X_0)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)3 (X_a)2 (X_b)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)2 (X_b)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)1 (X_b)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c
0 a 0 0 0 0
0 a 0 0 0 a
0 a 0 0 0 b
0 a 0 0 0 c
0 a 0 0 a 0
0 a 0 0 a a
0 a 0 0 a b
0 a 0 0 a c
0 a 0 0 b 0
0 a 0 0 b a
0 a 0 0 b b
0 a 0 0 b c
0 a 0 0 c 0
0 a 0 0 c a
0 a 0 0 c b
0 a 0 0 c c
0 b 0 0 0 0
0 b 0 0 0 a
0 b 0 0 0 b
0 b 0 0 0 c
0 b 0 0 a 0
0 b 0 0 a a
0 b 0 0 a b
0 b 0 0 a c
0 b 0 0 b 0
0 b 0 0 b a
0 b 0 0 b b
0 b 0 0 b c
0 b 0 0 c 0
0 b 0 0 c a
0 b 0 0 c b
0 b 0 0 c c
0 c 0 0 0 0
0 c 0 0 0 a
0 c 0 0 0 b
0 c 0 0 0 c
0 c 0 0 a 0
0 c 0 0 a a
0 c 0 0 a b
0 c 0 0 a c
0 c 0 0 b 0
0 c 0 0 b a
0 c 0 0 b b
0 c 0 0 b c
0 c 0 0 c 0
0 c 0 0 c a
0 c 0 0 c b
0 c 0 0 c c
Is it a nice code?: Yes
Generator Matrix-203
a 0 a a 0 0
b 0 b b 0 0
0 c 0 0 0 c
0 0 c 0 0 0
0 0 0 c 0 c
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 c
0 0 0 c c c
0 0 c 0 0 0
0 0 c 0 c 0
0 0 c c 0 c
0 0 c c c c
0 c 0 0 0 c
0 c 0 0 c c
0 c 0 c 0 0
0 c 0 c c 0
0 c c 0 0 c
0 c c 0 c c
0 c c c 0 0
0 c c c c 0
b 0 b b 0 0
b 0 b b c 0
b 0 b a 0 c
b 0 b a c c
b 0 a b 0 0
b 0 a b c 0
b 0 a a 0 c
b 0 a a c c
b c b b 0 c
b c b b c c
b c b a 0 0
b c b a c 0
b c a b 0 c
b c a b c c
b c a a 0 0
b c a a c 0
a 0 a a 0 0
a 0 a a c 0
a 0 a b 0 c
a 0 a b c c
a 0 b a 0 0
a 0 b a c 0
a 0 b b 0 c
a 0 b b c c
a c a a 0 c
a c a a c c
a c a b 0 0
a c a b c 0
a c b a 0 c
a c b a c c
a c b b 0 0
a c b b c 0
c 0 c c 0 0
c 0 c c c 0
c 0 c 0 0 c
c 0 c 0 c c
c 0 0 c 0 0
c 0 0 c c 0
c 0 0 0 0 c
c 0 0 0 c c
c c c c 0 c
c c c c c c
c c c 0 0 0
c c c 0 c 0
c c 0 c 0 c
c c 0 c c c
c c 0 0 0 0
c c 0 0 c 0
dmin: 1
Weight Enumerator: 1x0 + 2x1 + 7x2 + 16x3 + 19x4 + 14x5 + 5x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_b)3 + (X_0)2 (X_b)3 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)1 (X_b)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_b)3 (X_c)2 + (X_b)3 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)3 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)2 (X_b)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)3 (X_c)2 + (X_a)3 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_c)6 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c
0 a 0 0 0 0
0 a 0 0 0 a
0 a 0 0 0 b
0 a 0 0 0 c
0 a 0 0 a 0
0 a 0 0 a a
0 a 0 0 a b
0 a 0 0 a c
0 a 0 0 b 0
0 a 0 0 b a
0 a 0 0 b b
0 a 0 0 b c
0 a 0 0 c 0
0 a 0 0 c a
0 a 0 0 c b
0 a 0 0 c c
0 b 0 0 0 0
0 b 0 0 0 a
0 b 0 0 0 b
0 b 0 0 0 c
0 b 0 0 a 0
0 b 0 0 a a
0 b 0 0 a b
0 b 0 0 a c
0 b 0 0 b 0
0 b 0 0 b a
0 b 0 0 b b
0 b 0 0 b c
0 b 0 0 c 0
0 b 0 0 c a
0 b 0 0 c b
0 b 0 0 c c
0 c 0 0 0 0
0 c 0 0 0 a
0 c 0 0 0 b
0 c 0 0 0 c
0 c 0 0 a 0
0 c 0 0 a a
0 c 0 0 a b
0 c 0 0 a c
0 c 0 0 b 0
0 c 0 0 b a
0 c 0 0 b b
0 c 0 0 b c
0 c 0 0 c 0
0 c 0 0 c a
0 c 0 0 c b
0 c 0 0 c c
Is it a nice code?: Yes
Generator Matrix-204
a 0 a a 0 0
b 0 b b 0 0
0 c 0 0 0 c
0 0 c 0 0 0
0 0 0 c 0 c
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 c
0 0 0 c c 0
0 0 c 0 0 0
0 0 c 0 c c
0 0 c c 0 c
0 0 c c c 0
0 c 0 0 0 c
0 c 0 0 c 0
0 c 0 c 0 0
0 c 0 c c c
0 c c 0 0 c
0 c c 0 c 0
0 c c c 0 0
0 c c c c c
b 0 b b 0 0
b 0 b b c c
b 0 b a 0 c
b 0 b a c 0
b 0 a b 0 0
b 0 a b c c
b 0 a a 0 c
b 0 a a c 0
b c b b 0 c
b c b b c 0
b c b a 0 0
b c b a c c
b c a b 0 c
b c a b c 0
b c a a 0 0
b c a a c c
a 0 a a 0 0
a 0 a a c c
a 0 a b 0 c
a 0 a b c 0
a 0 b a 0 0
a 0 b a c c
a 0 b b 0 c
a 0 b b c 0
a c a a 0 c
a c a a c 0
a c a b 0 0
a c a b c c
a c b a 0 c
a c b a c 0
a c b b 0 0
a c b b c c
c 0 c c 0 0
c 0 c c c c
c 0 c 0 0 c
c 0 c 0 c 0
c 0 0 c 0 0
c 0 0 c c c
c 0 0 0 0 c
c 0 0 0 c 0
c c c c 0 c
c c c c c 0
c c c 0 0 0
c c c 0 c c
c c 0 c 0 c
c c 0 c c 0
c c 0 0 0 0
c c 0 0 c c
dmin: 1
Weight Enumerator: 1x0 + 1x1 + 10x2 + 14x3 + 17x4 + 17x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)3 (X_b)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_a)1 (X_b)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_b)3 (X_c)2 + (X_0)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_a)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_a)2 (X_b)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)3 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c
0 a 0 0 0 0
0 a 0 0 0 a
0 a 0 0 0 b
0 a 0 0 0 c
0 a 0 0 a 0
0 a 0 0 a a
0 a 0 0 a b
0 a 0 0 a c
0 a 0 0 b 0
0 a 0 0 b a
0 a 0 0 b b
0 a 0 0 b c
0 a 0 0 c 0
0 a 0 0 c a
0 a 0 0 c b
0 a 0 0 c c
0 b 0 0 0 0
0 b 0 0 0 a
0 b 0 0 0 b
0 b 0 0 0 c
0 b 0 0 a 0
0 b 0 0 a a
0 b 0 0 a b
0 b 0 0 a c
0 b 0 0 b 0
0 b 0 0 b a
0 b 0 0 b b
0 b 0 0 b c
0 b 0 0 c 0
0 b 0 0 c a
0 b 0 0 c b
0 b 0 0 c c
0 c 0 0 0 0
0 c 0 0 0 a
0 c 0 0 0 b
0 c 0 0 0 c
0 c 0 0 a 0
0 c 0 0 a a
0 c 0 0 a b
0 c 0 0 a c
0 c 0 0 b 0
0 c 0 0 b a
0 c 0 0 b b
0 c 0 0 b c
0 c 0 0 c 0
0 c 0 0 c a
0 c 0 0 c b
0 c 0 0 c c
Is it a nice code?: Yes
Generator Matrix-205
a 0 a a 0 0
b 0 b b 0 0
0 c 0 0 0 c
0 0 c 0 0 c
0 0 0 c 0 0
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 0
0 0 0 c c 0
0 0 c 0 0 c
0 0 c 0 c c
0 0 c c 0 c
0 0 c c c c
0 c 0 0 0 c
0 c 0 0 c c
0 c 0 c 0 c
0 c 0 c c c
0 c c 0 0 0
0 c c 0 c 0
0 c c c 0 0
0 c c c c 0
b 0 b b 0 0
b 0 b b c 0
b 0 b a 0 0
b 0 b a c 0
b 0 a b 0 c
b 0 a b c c
b 0 a a 0 c
b 0 a a c c
b c b b 0 c
b c b b c c
b c b a 0 c
b c b a c c
b c a b 0 0
b c a b c 0
b c a a 0 0
b c a a c 0
a 0 a a 0 0
a 0 a a c 0
a 0 a b 0 0
a 0 a b c 0
a 0 b a 0 c
a 0 b a c c
a 0 b b 0 c
a 0 b b c c
a c a a 0 c
a c a a c c
a c a b 0 c
a c a b c c
a c b a 0 0
a c b a c 0
a c b b 0 0
a c b b c 0
c 0 c c 0 0
c 0 c c c 0
c 0 c 0 0 0
c 0 c 0 c 0
c 0 0 c 0 c
c 0 0 c c c
c 0 0 0 0 c
c 0 0 0 c c
c c c c 0 c
c c c c c c
c c c 0 0 c
c c c 0 c c
c c 0 c 0 0
c c 0 c c 0
c c 0 0 0 0
c c 0 0 c 0
dmin: 1
Weight Enumerator: 1x0 + 2x1 + 7x2 + 16x3 + 19x4 + 14x5 + 5x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_b)3 + (X_0)2 (X_b)3 (X_c)1 + (X_0)3 (X_a)1 (X_b)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_b)3 (X_c)2 + (X_b)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)3 (X_c)1 + (X_0)3 (X_a)2 (X_b)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)3 (X_c)2 + (X_a)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_c)6 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c
0 a 0 0 0 0
0 a 0 0 0 a
0 a 0 0 0 b
0 a 0 0 0 c
0 a 0 0 a 0
0 a 0 0 a a
0 a 0 0 a b
0 a 0 0 a c
0 a 0 0 b 0
0 a 0 0 b a
0 a 0 0 b b
0 a 0 0 b c
0 a 0 0 c 0
0 a 0 0 c a
0 a 0 0 c b
0 a 0 0 c c
0 b 0 0 0 0
0 b 0 0 0 a
0 b 0 0 0 b
0 b 0 0 0 c
0 b 0 0 a 0
0 b 0 0 a a
0 b 0 0 a b
0 b 0 0 a c
0 b 0 0 b 0
0 b 0 0 b a
0 b 0 0 b b
0 b 0 0 b c
0 b 0 0 c 0
0 b 0 0 c a
0 b 0 0 c b
0 b 0 0 c c
0 c 0 0 0 0
0 c 0 0 0 a
0 c 0 0 0 b
0 c 0 0 0 c
0 c 0 0 a 0
0 c 0 0 a a
0 c 0 0 a b
0 c 0 0 a c
0 c 0 0 b 0
0 c 0 0 b a
0 c 0 0 b b
0 c 0 0 b c
0 c 0 0 c 0
0 c 0 0 c a
0 c 0 0 c b
0 c 0 0 c c
Is it a nice code?: Yes
Generator Matrix-206
a 0 a a 0 0
b 0 b b 0 0
0 c 0 0 0 c
0 0 c 0 0 c
0 0 0 c 0 0
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 0
0 0 0 c c c
0 0 c 0 0 c
0 0 c 0 c 0
0 0 c c 0 c
0 0 c c c 0
0 c 0 0 0 c
0 c 0 0 c 0
0 c 0 c 0 c
0 c 0 c c 0
0 c c 0 0 0
0 c c 0 c c
0 c c c 0 0
0 c c c c c
b 0 b b 0 0
b 0 b b c c
b 0 b a 0 0
b 0 b a c c
b 0 a b 0 c
b 0 a b c 0
b 0 a a 0 c
b 0 a a c 0
b c b b 0 c
b c b b c 0
b c b a 0 c
b c b a c 0
b c a b 0 0
b c a b c c
b c a a 0 0
b c a a c c
a 0 a a 0 0
a 0 a a c c
a 0 a b 0 0
a 0 a b c c
a 0 b a 0 c
a 0 b a c 0
a 0 b b 0 c
a 0 b b c 0
a c a a 0 c
a c a a c 0
a c a b 0 c
a c a b c 0
a c b a 0 0
a c b a c c
a c b b 0 0
a c b b c c
c 0 c c 0 0
c 0 c c c c
c 0 c 0 0 0
c 0 c 0 c c
c 0 0 c 0 c
c 0 0 c c 0
c 0 0 0 0 c
c 0 0 0 c 0
c c c c 0 c
c c c c c 0
c c c 0 0 c
c c c 0 c 0
c c 0 c 0 0
c c 0 c c c
c c 0 0 0 0
c c 0 0 c c
dmin: 1
Weight Enumerator: 1x0 + 1x1 + 10x2 + 14x3 + 17x4 + 17x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)3 (X_b)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)1 (X_b)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_b)3 (X_c)2 + (X_0)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_a)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)3 (X_a)2 (X_b)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c
0 a 0 0 0 0
0 a 0 0 0 a
0 a 0 0 0 b
0 a 0 0 0 c
0 a 0 0 a 0
0 a 0 0 a a
0 a 0 0 a b
0 a 0 0 a c
0 a 0 0 b 0
0 a 0 0 b a
0 a 0 0 b b
0 a 0 0 b c
0 a 0 0 c 0
0 a 0 0 c a
0 a 0 0 c b
0 a 0 0 c c
0 b 0 0 0 0
0 b 0 0 0 a
0 b 0 0 0 b
0 b 0 0 0 c
0 b 0 0 a 0
0 b 0 0 a a
0 b 0 0 a b
0 b 0 0 a c
0 b 0 0 b 0
0 b 0 0 b a
0 b 0 0 b b
0 b 0 0 b c
0 b 0 0 c 0
0 b 0 0 c a
0 b 0 0 c b
0 b 0 0 c c
0 c 0 0 0 0
0 c 0 0 0 a
0 c 0 0 0 b
0 c 0 0 0 c
0 c 0 0 a 0
0 c 0 0 a a
0 c 0 0 a b
0 c 0 0 a c
0 c 0 0 b 0
0 c 0 0 b a
0 c 0 0 b b
0 c 0 0 b c
0 c 0 0 c 0
0 c 0 0 c a
0 c 0 0 c b
0 c 0 0 c c
Is it a nice code?: Yes
Generator Matrix-207
a 0 a a 0 0
b 0 b b 0 0
0 c 0 0 0 c
0 0 c 0 0 c
0 0 0 c 0 c
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 c
0 0 0 c c c
0 0 c 0 0 c
0 0 c 0 c c
0 0 c c 0 0
0 0 c c c 0
0 c 0 0 0 c
0 c 0 0 c c
0 c 0 c 0 0
0 c 0 c c 0
0 c c 0 0 0
0 c c 0 c 0
0 c c c 0 c
0 c c c c c
b 0 b b 0 0
b 0 b b c 0
b 0 b a 0 c
b 0 b a c c
b 0 a b 0 c
b 0 a b c c
b 0 a a 0 0
b 0 a a c 0
b c b b 0 c
b c b b c c
b c b a 0 0
b c b a c 0
b c a b 0 0
b c a b c 0
b c a a 0 c
b c a a c c
a 0 a a 0 0
a 0 a a c 0
a 0 a b 0 c
a 0 a b c c
a 0 b a 0 c
a 0 b a c c
a 0 b b 0 0
a 0 b b c 0
a c a a 0 c
a c a a c c
a c a b 0 0
a c a b c 0
a c b a 0 0
a c b a c 0
a c b b 0 c
a c b b c c
c 0 c c 0 0
c 0 c c c 0
c 0 c 0 0 c
c 0 c 0 c c
c 0 0 c 0 c
c 0 0 c c c
c 0 0 0 0 0
c 0 0 0 c 0
c c c c 0 c
c c c c c c
c c c 0 0 0
c c c 0 c 0
c c 0 c 0 0
c c 0 c c 0
c c 0 0 0 c
c c 0 0 c c
dmin: 1
Weight Enumerator: 1x0 + 2x1 + 7x2 + 16x3 + 19x4 + 14x5 + 5x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)3 (X_b)3 + (X_0)2 (X_b)3 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)2 (X_b)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_b)3 (X_c)2 + (X_b)3 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_a)3 + (X_0)2 (X_a)3 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)1 (X_b)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_a)3 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5 + (X_c)6 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c
0 a 0 0 0 0
0 a 0 0 0 a
0 a 0 0 0 b
0 a 0 0 0 c
0 a 0 0 a 0
0 a 0 0 a a
0 a 0 0 a b
0 a 0 0 a c
0 a 0 0 b 0
0 a 0 0 b a
0 a 0 0 b b
0 a 0 0 b c
0 a 0 0 c 0
0 a 0 0 c a
0 a 0 0 c b
0 a 0 0 c c
0 b 0 0 0 0
0 b 0 0 0 a
0 b 0 0 0 b
0 b 0 0 0 c
0 b 0 0 a 0
0 b 0 0 a a
0 b 0 0 a b
0 b 0 0 a c
0 b 0 0 b 0
0 b 0 0 b a
0 b 0 0 b b
0 b 0 0 b c
0 b 0 0 c 0
0 b 0 0 c a
0 b 0 0 c b
0 b 0 0 c c
0 c 0 0 0 0
0 c 0 0 0 a
0 c 0 0 0 b
0 c 0 0 0 c
0 c 0 0 a 0
0 c 0 0 a a
0 c 0 0 a b
0 c 0 0 a c
0 c 0 0 b 0
0 c 0 0 b a
0 c 0 0 b b
0 c 0 0 b c
0 c 0 0 c 0
0 c 0 0 c a
0 c 0 0 c b
0 c 0 0 c c
Is it a nice code?: Yes
Generator Matrix-208
a 0 a a 0 0
b 0 b b 0 0
0 c 0 0 0 c
0 0 c 0 0 c
0 0 0 c 0 c
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 c
0 0 0 c c 0
0 0 c 0 0 c
0 0 c 0 c 0
0 0 c c 0 0
0 0 c c c c
0 c 0 0 0 c
0 c 0 0 c 0
0 c 0 c 0 0
0 c 0 c c c
0 c c 0 0 0
0 c c 0 c c
0 c c c 0 c
0 c c c c 0
b 0 b b 0 0
b 0 b b c c
b 0 b a 0 c
b 0 b a c 0
b 0 a b 0 c
b 0 a b c 0
b 0 a a 0 0
b 0 a a c c
b c b b 0 c
b c b b c 0
b c b a 0 0
b c b a c c
b c a b 0 0
b c a b c c
b c a a 0 c
b c a a c 0
a 0 a a 0 0
a 0 a a c c
a 0 a b 0 c
a 0 a b c 0
a 0 b a 0 c
a 0 b a c 0
a 0 b b 0 0
a 0 b b c c
a c a a 0 c
a c a a c 0
a c a b 0 0
a c a b c c
a c b a 0 0
a c b a c c
a c b b 0 c
a c b b c 0
c 0 c c 0 0
c 0 c c c c
c 0 c 0 0 c
c 0 c 0 c 0
c 0 0 c 0 c
c 0 0 c c 0
c 0 0 0 0 0
c 0 0 0 c c
c c c c 0 c
c c c c c 0
c c c 0 0 0
c c c 0 c c
c c 0 c 0 0
c c 0 c c c
c c 0 0 0 c
c c 0 0 c 0
dmin: 1
Weight Enumerator: 1x0 + 1x1 + 10x2 + 14x3 + 17x4 + 17x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)3 (X_b)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_a)2 (X_b)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_b)3 (X_c)2 + (X_0)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_a)1 (X_b)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)3 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c
0 a 0 0 0 0
0 a 0 0 0 a
0 a 0 0 0 b
0 a 0 0 0 c
0 a 0 0 a 0
0 a 0 0 a a
0 a 0 0 a b
0 a 0 0 a c
0 a 0 0 b 0
0 a 0 0 b a
0 a 0 0 b b
0 a 0 0 b c
0 a 0 0 c 0
0 a 0 0 c a
0 a 0 0 c b
0 a 0 0 c c
0 b 0 0 0 0
0 b 0 0 0 a
0 b 0 0 0 b
0 b 0 0 0 c
0 b 0 0 a 0
0 b 0 0 a a
0 b 0 0 a b
0 b 0 0 a c
0 b 0 0 b 0
0 b 0 0 b a
0 b 0 0 b b
0 b 0 0 b c
0 b 0 0 c 0
0 b 0 0 c a
0 b 0 0 c b
0 b 0 0 c c
0 c 0 0 0 0
0 c 0 0 0 a
0 c 0 0 0 b
0 c 0 0 0 c
0 c 0 0 a 0
0 c 0 0 a a
0 c 0 0 a b
0 c 0 0 a c
0 c 0 0 b 0
0 c 0 0 b a
0 c 0 0 b b
0 c 0 0 b c
0 c 0 0 c 0
0 c 0 0 c a
0 c 0 0 c b
0 c 0 0 c c
Is it a nice code?: Yes
Generator Matrix-209
a 0 a a 0 a
b 0 b b 0 b
0 c 0 0 0 0
0 0 c 0 0 0
0 0 0 c 0 0
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 0
0 0 0 c c 0
0 0 c 0 0 0
0 0 c 0 c 0
0 0 c c 0 0
0 0 c c c 0
0 c 0 0 0 0
0 c 0 0 c 0
0 c 0 c 0 0
0 c 0 c c 0
0 c c 0 0 0
0 c c 0 c 0
0 c c c 0 0
0 c c c c 0
b 0 b b 0 b
b 0 b b c b
b 0 b a 0 b
b 0 b a c b
b 0 a b 0 b
b 0 a b c b
b 0 a a 0 b
b 0 a a c b
b c b b 0 b
b c b b c b
b c b a 0 b
b c b a c b
b c a b 0 b
b c a b c b
b c a a 0 b
b c a a c b
a 0 a a 0 a
a 0 a a c a
a 0 a b 0 a
a 0 a b c a
a 0 b a 0 a
a 0 b a c a
a 0 b b 0 a
a 0 b b c a
a c a a 0 a
a c a a c a
a c a b 0 a
a c a b c a
a c b a 0 a
a c b a c a
a c b b 0 a
a c b b c a
c 0 c c 0 c
c 0 c c c c
c 0 c 0 0 c
c 0 c 0 c c
c 0 0 c 0 c
c 0 0 c c c
c 0 0 0 0 c
c 0 0 0 c c
c c c c 0 c
c c c c c c
c c c 0 0 c
c c c 0 c c
c c 0 c 0 c
c c 0 c c c
c c 0 0 0 c
c c 0 0 c c
dmin: 1
Weight Enumerator: 1x0 + 4x1 + 7x2 + 8x3 + 15x4 + 20x5 + 9x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_b)4 + (X_0)1 (X_b)4 (X_c)1 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_b)4 (X_c)1 + (X_b)4 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)4 (X_c)1 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)4 (X_c)1 + (X_a)4 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_c)6 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 a 0 0 0 0
0 a 0 0 a 0
0 a 0 0 b 0
0 a 0 0 c 0
0 b 0 0 0 0
0 b 0 0 a 0
0 b 0 0 b 0
0 b 0 0 c 0
0 c 0 0 0 0
0 c 0 0 a 0
0 c 0 0 b 0
0 c 0 0 c 0
Is it a nice code?: No
Generator Matrix-210
a 0 a a 0 a
b 0 b b 0 b
0 c 0 0 0 0
0 0 c 0 0 0
0 0 0 c 0 0
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 0
0 0 0 c c c
0 0 c 0 0 0
0 0 c 0 c c
0 0 c c 0 0
0 0 c c c c
0 c 0 0 0 0
0 c 0 0 c c
0 c 0 c 0 0
0 c 0 c c c
0 c c 0 0 0
0 c c 0 c c
0 c c c 0 0
0 c c c c c
b 0 b b 0 b
b 0 b b c a
b 0 b a 0 b
b 0 b a c a
b 0 a b 0 b
b 0 a b c a
b 0 a a 0 b
b 0 a a c a
b c b b 0 b
b c b b c a
b c b a 0 b
b c b a c a
b c a b 0 b
b c a b c a
b c a a 0 b
b c a a c a
a 0 a a 0 a
a 0 a a c b
a 0 a b 0 a
a 0 a b c b
a 0 b a 0 a
a 0 b a c b
a 0 b b 0 a
a 0 b b c b
a c a a 0 a
a c a a c b
a c a b 0 a
a c a b c b
a c b a 0 a
a c b a c b
a c b b 0 a
a c b b c b
c 0 c c 0 c
c 0 c c c 0
c 0 c 0 0 c
c 0 c 0 c 0
c 0 0 c 0 c
c 0 0 c c 0
c 0 0 0 0 c
c 0 0 0 c 0
c c c c 0 c
c c c c c 0
c c c 0 0 c
c c c 0 c 0
c c 0 c 0 c
c c 0 c c 0
c c 0 0 0 c
c c 0 0 c 0
dmin: 1
Weight Enumerator: 1x0 + 3x1 + 6x2 + 10x3 + 17x4 + 19x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_b)4 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)4 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 a 0 0 0 0
0 a 0 0 a 0
0 a 0 0 b 0
0 a 0 0 c 0
0 b 0 0 0 0
0 b 0 0 a 0
0 b 0 0 b 0
0 b 0 0 c 0
0 c 0 0 0 0
0 c 0 0 a 0
0 c 0 0 b 0
0 c 0 0 c 0
Is it a nice code?: No
Generator Matrix-211
a 0 a a 0 a
b 0 b b 0 b
0 c 0 0 0 0
0 0 c 0 0 0
0 0 0 c 0 c
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 c
0 0 0 c c c
0 0 c 0 0 0
0 0 c 0 c 0
0 0 c c 0 c
0 0 c c c c
0 c 0 0 0 0
0 c 0 0 c 0
0 c 0 c 0 c
0 c 0 c c c
0 c c 0 0 0
0 c c 0 c 0
0 c c c 0 c
0 c c c c c
b 0 b b 0 b
b 0 b b c b
b 0 b a 0 a
b 0 b a c a
b 0 a b 0 b
b 0 a b c b
b 0 a a 0 a
b 0 a a c a
b c b b 0 b
b c b b c b
b c b a 0 a
b c b a c a
b c a b 0 b
b c a b c b
b c a a 0 a
b c a a c a
a 0 a a 0 a
a 0 a a c a
a 0 a b 0 b
a 0 a b c b
a 0 b a 0 a
a 0 b a c a
a 0 b b 0 b
a 0 b b c b
a c a a 0 a
a c a a c a
a c a b 0 b
a c a b c b
a c b a 0 a
a c b a c a
a c b b 0 b
a c b b c b
c 0 c c 0 c
c 0 c c c c
c 0 c 0 0 0
c 0 c 0 c 0
c 0 0 c 0 c
c 0 0 c c c
c 0 0 0 0 0
c 0 0 0 c 0
c c c c 0 c
c c c c c c
c c c 0 0 0
c c c 0 c 0
c c 0 c 0 c
c c 0 c c c
c c 0 0 0 0
c c 0 0 c 0
dmin: 1
Weight Enumerator: 1x0 + 4x1 + 7x2 + 8x3 + 15x4 + 20x5 + 9x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)2 (X_b)4 + (X_0)1 (X_b)4 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_b)4 (X_c)1 + (X_b)4 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)4 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)4 (X_c)1 + (X_a)4 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5 + (X_c)6 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 a 0 0 0 0
0 a 0 0 a 0
0 a 0 0 b 0
0 a 0 0 c 0
0 b 0 0 0 0
0 b 0 0 a 0
0 b 0 0 b 0
0 b 0 0 c 0
0 c 0 0 0 0
0 c 0 0 a 0
0 c 0 0 b 0
0 c 0 0 c 0
Is it a nice code?: No
Generator Matrix-212
a 0 a a 0 a
b 0 b b 0 b
0 c 0 0 0 0
0 0 c 0 0 0
0 0 0 c 0 c
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 c
0 0 0 c c 0
0 0 c 0 0 0
0 0 c 0 c c
0 0 c c 0 c
0 0 c c c 0
0 c 0 0 0 0
0 c 0 0 c c
0 c 0 c 0 c
0 c 0 c c 0
0 c c 0 0 0
0 c c 0 c c
0 c c c 0 c
0 c c c c 0
b 0 b b 0 b
b 0 b b c a
b 0 b a 0 a
b 0 b a c b
b 0 a b 0 b
b 0 a b c a
b 0 a a 0 a
b 0 a a c b
b c b b 0 b
b c b b c a
b c b a 0 a
b c b a c b
b c a b 0 b
b c a b c a
b c a a 0 a
b c a a c b
a 0 a a 0 a
a 0 a a c b
a 0 a b 0 b
a 0 a b c a
a 0 b a 0 a
a 0 b a c b
a 0 b b 0 b
a 0 b b c a
a c a a 0 a
a c a a c b
a c a b 0 b
a c a b c a
a c b a 0 a
a c b a c b
a c b b 0 b
a c b b c a
c 0 c c 0 c
c 0 c c c 0
c 0 c 0 0 0
c 0 c 0 c c
c 0 0 c 0 c
c 0 0 c c 0
c 0 0 0 0 0
c 0 0 0 c c
c c c c 0 c
c c c c c 0
c c c 0 0 0
c c c 0 c c
c c 0 c 0 c
c c 0 c c 0
c c 0 0 0 0
c c 0 0 c c
dmin: 1
Weight Enumerator: 1x0 + 3x1 + 6x2 + 10x3 + 17x4 + 19x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_b)4 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)4 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 a 0 0 0 0
0 a 0 0 a 0
0 a 0 0 b 0
0 a 0 0 c 0
0 b 0 0 0 0
0 b 0 0 a 0
0 b 0 0 b 0
0 b 0 0 c 0
0 c 0 0 0 0
0 c 0 0 a 0
0 c 0 0 b 0
0 c 0 0 c 0
Is it a nice code?: No
Generator Matrix-213
a 0 a a 0 a
b 0 b b 0 b
0 c 0 0 0 0
0 0 c 0 0 c
0 0 0 c 0 0
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 0
0 0 0 c c 0
0 0 c 0 0 c
0 0 c 0 c c
0 0 c c 0 c
0 0 c c c c
0 c 0 0 0 0
0 c 0 0 c 0
0 c 0 c 0 0
0 c 0 c c 0
0 c c 0 0 c
0 c c 0 c c
0 c c c 0 c
0 c c c c c
b 0 b b 0 b
b 0 b b c b
b 0 b a 0 b
b 0 b a c b
b 0 a b 0 a
b 0 a b c a
b 0 a a 0 a
b 0 a a c a
b c b b 0 b
b c b b c b
b c b a 0 b
b c b a c b
b c a b 0 a
b c a b c a
b c a a 0 a
b c a a c a
a 0 a a 0 a
a 0 a a c a
a 0 a b 0 a
a 0 a b c a
a 0 b a 0 b
a 0 b a c b
a 0 b b 0 b
a 0 b b c b
a c a a 0 a
a c a a c a
a c a b 0 a
a c a b c a
a c b a 0 b
a c b a c b
a c b b 0 b
a c b b c b
c 0 c c 0 c
c 0 c c c c
c 0 c 0 0 c
c 0 c 0 c c
c 0 0 c 0 0
c 0 0 c c 0
c 0 0 0 0 0
c 0 0 0 c 0
c c c c 0 c
c c c c c c
c c c 0 0 c
c c c 0 c c
c c 0 c 0 0
c c 0 c c 0
c c 0 0 0 0
c c 0 0 c 0
dmin: 1
Weight Enumerator: 1x0 + 4x1 + 7x2 + 8x3 + 15x4 + 20x5 + 9x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)2 (X_b)4 + (X_0)1 (X_b)4 (X_c)1 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_b)4 (X_c)1 + (X_b)4 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)4 (X_c)1 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)4 (X_c)1 + (X_a)4 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5 + (X_c)6 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 a 0 0 0 0
0 a 0 0 a 0
0 a 0 0 b 0
0 a 0 0 c 0
0 b 0 0 0 0
0 b 0 0 a 0
0 b 0 0 b 0
0 b 0 0 c 0
0 c 0 0 0 0
0 c 0 0 a 0
0 c 0 0 b 0
0 c 0 0 c 0
Is it a nice code?: No
Generator Matrix-214
a 0 a a 0 a
b 0 b b 0 b
0 c 0 0 0 0
0 0 c 0 0 c
0 0 0 c 0 0
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 0
0 0 0 c c c
0 0 c 0 0 c
0 0 c 0 c 0
0 0 c c 0 c
0 0 c c c 0
0 c 0 0 0 0
0 c 0 0 c c
0 c 0 c 0 0
0 c 0 c c c
0 c c 0 0 c
0 c c 0 c 0
0 c c c 0 c
0 c c c c 0
b 0 b b 0 b
b 0 b b c a
b 0 b a 0 b
b 0 b a c a
b 0 a b 0 a
b 0 a b c b
b 0 a a 0 a
b 0 a a c b
b c b b 0 b
b c b b c a
b c b a 0 b
b c b a c a
b c a b 0 a
b c a b c b
b c a a 0 a
b c a a c b
a 0 a a 0 a
a 0 a a c b
a 0 a b 0 a
a 0 a b c b
a 0 b a 0 b
a 0 b a c a
a 0 b b 0 b
a 0 b b c a
a c a a 0 a
a c a a c b
a c a b 0 a
a c a b c b
a c b a 0 b
a c b a c a
a c b b 0 b
a c b b c a
c 0 c c 0 c
c 0 c c c 0
c 0 c 0 0 c
c 0 c 0 c 0
c 0 0 c 0 0
c 0 0 c c c
c 0 0 0 0 0
c 0 0 0 c c
c c c c 0 c
c c c c c 0
c c c 0 0 c
c c c 0 c 0
c c 0 c 0 0
c c 0 c c c
c c 0 0 0 0
c c 0 0 c c
dmin: 1
Weight Enumerator: 1x0 + 3x1 + 6x2 + 10x3 + 17x4 + 19x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_b)4 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)4 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 a 0 0 0 0
0 a 0 0 a 0
0 a 0 0 b 0
0 a 0 0 c 0
0 b 0 0 0 0
0 b 0 0 a 0
0 b 0 0 b 0
0 b 0 0 c 0
0 c 0 0 0 0
0 c 0 0 a 0
0 c 0 0 b 0
0 c 0 0 c 0
Is it a nice code?: No
Generator Matrix-215
a 0 a a 0 a
b 0 b b 0 b
0 c 0 0 0 0
0 0 c 0 0 c
0 0 0 c 0 c
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 c
0 0 0 c c c
0 0 c 0 0 c
0 0 c 0 c c
0 0 c c 0 0
0 0 c c c 0
0 c 0 0 0 0
0 c 0 0 c 0
0 c 0 c 0 c
0 c 0 c c c
0 c c 0 0 c
0 c c 0 c c
0 c c c 0 0
0 c c c c 0
b 0 b b 0 b
b 0 b b c b
b 0 b a 0 a
b 0 b a c a
b 0 a b 0 a
b 0 a b c a
b 0 a a 0 b
b 0 a a c b
b c b b 0 b
b c b b c b
b c b a 0 a
b c b a c a
b c a b 0 a
b c a b c a
b c a a 0 b
b c a a c b
a 0 a a 0 a
a 0 a a c a
a 0 a b 0 b
a 0 a b c b
a 0 b a 0 b
a 0 b a c b
a 0 b b 0 a
a 0 b b c a
a c a a 0 a
a c a a c a
a c a b 0 b
a c a b c b
a c b a 0 b
a c b a c b
a c b b 0 a
a c b b c a
c 0 c c 0 c
c 0 c c c c
c 0 c 0 0 0
c 0 c 0 c 0
c 0 0 c 0 0
c 0 0 c c 0
c 0 0 0 0 c
c 0 0 0 c c
c c c c 0 c
c c c c c c
c c c 0 0 0
c c c 0 c 0
c c 0 c 0 0
c c 0 c c 0
c c 0 0 0 c
c c 0 0 c c
dmin: 1
Weight Enumerator: 1x0 + 2x1 + 7x2 + 12x3 + 15x4 + 18x5 + 9x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_b)4 + (X_0)1 (X_b)4 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_b)4 (X_c)1 + (X_b)4 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)4 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)4 (X_c)1 + (X_a)4 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_c)6 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 a 0 0 0 0
0 a 0 0 a 0
0 a 0 0 b 0
0 a 0 0 c 0
0 b 0 0 0 0
0 b 0 0 a 0
0 b 0 0 b 0
0 b 0 0 c 0
0 c 0 0 0 0
0 c 0 0 a 0
0 c 0 0 b 0
0 c 0 0 c 0
Is it a nice code?: No
Generator Matrix-216
a 0 a a 0 a
b 0 b b 0 b
0 c 0 0 0 0
0 0 c 0 0 c
0 0 0 c 0 c
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 c
0 0 0 c c 0
0 0 c 0 0 c
0 0 c 0 c 0
0 0 c c 0 0
0 0 c c c c
0 c 0 0 0 0
0 c 0 0 c c
0 c 0 c 0 c
0 c 0 c c 0
0 c c 0 0 c
0 c c 0 c 0
0 c c c 0 0
0 c c c c c
b 0 b b 0 b
b 0 b b c a
b 0 b a 0 a
b 0 b a c b
b 0 a b 0 a
b 0 a b c b
b 0 a a 0 b
b 0 a a c a
b c b b 0 b
b c b b c a
b c b a 0 a
b c b a c b
b c a b 0 a
b c a b c b
b c a a 0 b
b c a a c a
a 0 a a 0 a
a 0 a a c b
a 0 a b 0 b
a 0 a b c a
a 0 b a 0 b
a 0 b a c a
a 0 b b 0 a
a 0 b b c b
a c a a 0 a
a c a a c b
a c a b 0 b
a c a b c a
a c b a 0 b
a c b a c a
a c b b 0 a
a c b b c b
c 0 c c 0 c
c 0 c c c 0
c 0 c 0 0 0
c 0 c 0 c c
c 0 0 c 0 0
c 0 0 c c c
c 0 0 0 0 c
c 0 0 0 c 0
c c c c 0 c
c c c c c 0
c c c 0 0 0
c c c 0 c c
c c 0 c 0 0
c c 0 c c c
c c 0 0 0 c
c c 0 0 c 0
dmin: 1
Weight Enumerator: 1x0 + 1x1 + 10x2 + 10x3 + 13x4 + 21x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_b)4 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)4 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 a 0 0 0 0
0 a 0 0 a 0
0 a 0 0 b 0
0 a 0 0 c 0
0 b 0 0 0 0
0 b 0 0 a 0
0 b 0 0 b 0
0 b 0 0 c 0
0 c 0 0 0 0
0 c 0 0 a 0
0 c 0 0 b 0
0 c 0 0 c 0
Is it a nice code?: No
Generator Matrix-217
a 0 a a 0 a
b 0 b b 0 b
0 c 0 0 0 c
0 0 c 0 0 0
0 0 0 c 0 0
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 0
0 0 0 c c 0
0 0 c 0 0 0
0 0 c 0 c 0
0 0 c c 0 0
0 0 c c c 0
0 c 0 0 0 c
0 c 0 0 c c
0 c 0 c 0 c
0 c 0 c c c
0 c c 0 0 c
0 c c 0 c c
0 c c c 0 c
0 c c c c c
b 0 b b 0 b
b 0 b b c b
b 0 b a 0 b
b 0 b a c b
b 0 a b 0 b
b 0 a b c b
b 0 a a 0 b
b 0 a a c b
b c b b 0 a
b c b b c a
b c b a 0 a
b c b a c a
b c a b 0 a
b c a b c a
b c a a 0 a
b c a a c a
a 0 a a 0 a
a 0 a a c a
a 0 a b 0 a
a 0 a b c a
a 0 b a 0 a
a 0 b a c a
a 0 b b 0 a
a 0 b b c a
a c a a 0 b
a c a a c b
a c a b 0 b
a c a b c b
a c b a 0 b
a c b a c b
a c b b 0 b
a c b b c b
c 0 c c 0 c
c 0 c c c c
c 0 c 0 0 c
c 0 c 0 c c
c 0 0 c 0 c
c 0 0 c c c
c 0 0 0 0 c
c 0 0 0 c c
c c c c 0 0
c c c c c 0
c c c 0 0 0
c c c 0 c 0
c c 0 c 0 0
c c 0 c c 0
c c 0 0 0 0
c c 0 0 c 0
dmin: 1
Weight Enumerator: 1x0 + 3x1 + 6x2 + 10x3 + 17x4 + 19x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)2 (X_b)4 + (X_0)1 (X_b)4 (X_c)1 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)4 (X_c)1 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 a 0 0 0 0
0 a 0 0 a 0
0 a 0 0 b 0
0 a 0 0 c 0
0 b 0 0 0 0
0 b 0 0 a 0
0 b 0 0 b 0
0 b 0 0 c 0
0 c 0 0 0 0
0 c 0 0 a 0
0 c 0 0 b 0
0 c 0 0 c 0
Is it a nice code?: No
Generator Matrix-218
a 0 a a 0 a
b 0 b b 0 b
0 c 0 0 0 c
0 0 c 0 0 0
0 0 0 c 0 0
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 0
0 0 0 c c c
0 0 c 0 0 0
0 0 c 0 c c
0 0 c c 0 0
0 0 c c c c
0 c 0 0 0 c
0 c 0 0 c 0
0 c 0 c 0 c
0 c 0 c c 0
0 c c 0 0 c
0 c c 0 c 0
0 c c c 0 c
0 c c c c 0
b 0 b b 0 b
b 0 b b c a
b 0 b a 0 b
b 0 b a c a
b 0 a b 0 b
b 0 a b c a
b 0 a a 0 b
b 0 a a c a
b c b b 0 a
b c b b c b
b c b a 0 a
b c b a c b
b c a b 0 a
b c a b c b
b c a a 0 a
b c a a c b
a 0 a a 0 a
a 0 a a c b
a 0 a b 0 a
a 0 a b c b
a 0 b a 0 a
a 0 b a c b
a 0 b b 0 a
a 0 b b c b
a c a a 0 b
a c a a c a
a c a b 0 b
a c a b c a
a c b a 0 b
a c b a c a
a c b b 0 b
a c b b c a
c 0 c c 0 c
c 0 c c c 0
c 0 c 0 0 c
c 0 c 0 c 0
c 0 0 c 0 c
c 0 0 c c 0
c 0 0 0 0 c
c 0 0 0 c 0
c c c c 0 0
c c c c c c
c c c 0 0 0
c c c 0 c c
c c 0 c 0 0
c c 0 c c c
c c 0 0 0 0
c c 0 0 c c
dmin: 1
Weight Enumerator: 1x0 + 2x1 + 7x2 + 12x3 + 15x4 + 18x5 + 9x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_b)4 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)4 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_c)6 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 a 0 0 0 0
0 a 0 0 a 0
0 a 0 0 b 0
0 a 0 0 c 0
0 b 0 0 0 0
0 b 0 0 a 0
0 b 0 0 b 0
0 b 0 0 c 0
0 c 0 0 0 0
0 c 0 0 a 0
0 c 0 0 b 0
0 c 0 0 c 0
Is it a nice code?: No
Generator Matrix-219
a 0 a a 0 a
b 0 b b 0 b
0 c 0 0 0 c
0 0 c 0 0 0
0 0 0 c 0 c
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 c
0 0 0 c c c
0 0 c 0 0 0
0 0 c 0 c 0
0 0 c c 0 c
0 0 c c c c
0 c 0 0 0 c
0 c 0 0 c c
0 c 0 c 0 0
0 c 0 c c 0
0 c c 0 0 c
0 c c 0 c c
0 c c c 0 0
0 c c c c 0
b 0 b b 0 b
b 0 b b c b
b 0 b a 0 a
b 0 b a c a
b 0 a b 0 b
b 0 a b c b
b 0 a a 0 a
b 0 a a c a
b c b b 0 a
b c b b c a
b c b a 0 b
b c b a c b
b c a b 0 a
b c a b c a
b c a a 0 b
b c a a c b
a 0 a a 0 a
a 0 a a c a
a 0 a b 0 b
a 0 a b c b
a 0 b a 0 a
a 0 b a c a
a 0 b b 0 b
a 0 b b c b
a c a a 0 b
a c a a c b
a c a b 0 a
a c a b c a
a c b a 0 b
a c b a c b
a c b b 0 a
a c b b c a
c 0 c c 0 c
c 0 c c c c
c 0 c 0 0 0
c 0 c 0 c 0
c 0 0 c 0 c
c 0 0 c c c
c 0 0 0 0 0
c 0 0 0 c 0
c c c c 0 0
c c c c c 0
c c c 0 0 c
c c c 0 c c
c c 0 c 0 0
c c 0 c c 0
c c 0 0 0 c
c c 0 0 c c
dmin: 1
Weight Enumerator: 1x0 + 3x1 + 6x2 + 10x3 + 17x4 + 19x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_b)4 + (X_0)1 (X_b)4 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)4 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 a 0 0 0 0
0 a 0 0 a 0
0 a 0 0 b 0
0 a 0 0 c 0
0 b 0 0 0 0
0 b 0 0 a 0
0 b 0 0 b 0
0 b 0 0 c 0
0 c 0 0 0 0
0 c 0 0 a 0
0 c 0 0 b 0
0 c 0 0 c 0
Is it a nice code?: No
Generator Matrix-220
a 0 a a 0 a
b 0 b b 0 b
0 c 0 0 0 c
0 0 c 0 0 0
0 0 0 c 0 c
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 c
0 0 0 c c 0
0 0 c 0 0 0
0 0 c 0 c c
0 0 c c 0 c
0 0 c c c 0
0 c 0 0 0 c
0 c 0 0 c 0
0 c 0 c 0 0
0 c 0 c c c
0 c c 0 0 c
0 c c 0 c 0
0 c c c 0 0
0 c c c c c
b 0 b b 0 b
b 0 b b c a
b 0 b a 0 a
b 0 b a c b
b 0 a b 0 b
b 0 a b c a
b 0 a a 0 a
b 0 a a c b
b c b b 0 a
b c b b c b
b c b a 0 b
b c b a c a
b c a b 0 a
b c a b c b
b c a a 0 b
b c a a c a
a 0 a a 0 a
a 0 a a c b
a 0 a b 0 b
a 0 a b c a
a 0 b a 0 a
a 0 b a c b
a 0 b b 0 b
a 0 b b c a
a c a a 0 b
a c a a c a
a c a b 0 a
a c a b c b
a c b a 0 b
a c b a c a
a c b b 0 a
a c b b c b
c 0 c c 0 c
c 0 c c c 0
c 0 c 0 0 0
c 0 c 0 c c
c 0 0 c 0 c
c 0 0 c c 0
c 0 0 0 0 0
c 0 0 0 c c
c c c c 0 0
c c c c c c
c c c 0 0 c
c c c 0 c 0
c c 0 c 0 0
c c 0 c c c
c c 0 0 0 c
c c 0 0 c 0
dmin: 1
Weight Enumerator: 1x0 + 2x1 + 7x2 + 12x3 + 15x4 + 18x5 + 9x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_b)4 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)4 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_c)6 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 a 0 0 0 0
0 a 0 0 a 0
0 a 0 0 b 0
0 a 0 0 c 0
0 b 0 0 0 0
0 b 0 0 a 0
0 b 0 0 b 0
0 b 0 0 c 0
0 c 0 0 0 0
0 c 0 0 a 0
0 c 0 0 b 0
0 c 0 0 c 0
Is it a nice code?: No
Generator Matrix-221
a 0 a a 0 a
b 0 b b 0 b
0 c 0 0 0 c
0 0 c 0 0 c
0 0 0 c 0 0
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 0
0 0 0 c c 0
0 0 c 0 0 c
0 0 c 0 c c
0 0 c c 0 c
0 0 c c c c
0 c 0 0 0 c
0 c 0 0 c c
0 c 0 c 0 c
0 c 0 c c c
0 c c 0 0 0
0 c c 0 c 0
0 c c c 0 0
0 c c c c 0
b 0 b b 0 b
b 0 b b c b
b 0 b a 0 b
b 0 b a c b
b 0 a b 0 a
b 0 a b c a
b 0 a a 0 a
b 0 a a c a
b c b b 0 a
b c b b c a
b c b a 0 a
b c b a c a
b c a b 0 b
b c a b c b
b c a a 0 b
b c a a c b
a 0 a a 0 a
a 0 a a c a
a 0 a b 0 a
a 0 a b c a
a 0 b a 0 b
a 0 b a c b
a 0 b b 0 b
a 0 b b c b
a c a a 0 b
a c a a c b
a c a b 0 b
a c a b c b
a c b a 0 a
a c b a c a
a c b b 0 a
a c b b c a
c 0 c c 0 c
c 0 c c c c
c 0 c 0 0 c
c 0 c 0 c c
c 0 0 c 0 0
c 0 0 c c 0
c 0 0 0 0 0
c 0 0 0 c 0
c c c c 0 0
c c c c c 0
c c c 0 0 0
c c c 0 c 0
c c 0 c 0 c
c c 0 c c c
c c 0 0 0 c
c c 0 0 c c
dmin: 1
Weight Enumerator: 1x0 + 3x1 + 6x2 + 10x3 + 17x4 + 19x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_b)4 + (X_0)1 (X_b)4 (X_c)1 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)4 (X_c)1 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 a 0 0 0 0
0 a 0 0 a 0
0 a 0 0 b 0
0 a 0 0 c 0
0 b 0 0 0 0
0 b 0 0 a 0
0 b 0 0 b 0
0 b 0 0 c 0
0 c 0 0 0 0
0 c 0 0 a 0
0 c 0 0 b 0
0 c 0 0 c 0
Is it a nice code?: No
Generator Matrix-222
a 0 a a 0 a
b 0 b b 0 b
0 c 0 0 0 c
0 0 c 0 0 c
0 0 0 c 0 0
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 0
0 0 0 c c c
0 0 c 0 0 c
0 0 c 0 c 0
0 0 c c 0 c
0 0 c c c 0
0 c 0 0 0 c
0 c 0 0 c 0
0 c 0 c 0 c
0 c 0 c c 0
0 c c 0 0 0
0 c c 0 c c
0 c c c 0 0
0 c c c c c
b 0 b b 0 b
b 0 b b c a
b 0 b a 0 b
b 0 b a c a
b 0 a b 0 a
b 0 a b c b
b 0 a a 0 a
b 0 a a c b
b c b b 0 a
b c b b c b
b c b a 0 a
b c b a c b
b c a b 0 b
b c a b c a
b c a a 0 b
b c a a c a
a 0 a a 0 a
a 0 a a c b
a 0 a b 0 a
a 0 a b c b
a 0 b a 0 b
a 0 b a c a
a 0 b b 0 b
a 0 b b c a
a c a a 0 b
a c a a c a
a c a b 0 b
a c a b c a
a c b a 0 a
a c b a c b
a c b b 0 a
a c b b c b
c 0 c c 0 c
c 0 c c c 0
c 0 c 0 0 c
c 0 c 0 c 0
c 0 0 c 0 0
c 0 0 c c c
c 0 0 0 0 0
c 0 0 0 c c
c c c c 0 0
c c c c c c
c c c 0 0 0
c c c 0 c c
c c 0 c 0 c
c c 0 c c 0
c c 0 0 0 c
c c 0 0 c 0
dmin: 1
Weight Enumerator: 1x0 + 2x1 + 7x2 + 12x3 + 15x4 + 18x5 + 9x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_b)4 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)4 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_c)6 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 a 0 0 0 0
0 a 0 0 a 0
0 a 0 0 b 0
0 a 0 0 c 0
0 b 0 0 0 0
0 b 0 0 a 0
0 b 0 0 b 0
0 b 0 0 c 0
0 c 0 0 0 0
0 c 0 0 a 0
0 c 0 0 b 0
0 c 0 0 c 0
Is it a nice code?: No
Generator Matrix-223
a 0 a a 0 a
b 0 b b 0 b
0 c 0 0 0 c
0 0 c 0 0 c
0 0 0 c 0 c
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 c
0 0 0 c c c
0 0 c 0 0 c
0 0 c 0 c c
0 0 c c 0 0
0 0 c c c 0
0 c 0 0 0 c
0 c 0 0 c c
0 c 0 c 0 0
0 c 0 c c 0
0 c c 0 0 0
0 c c 0 c 0
0 c c c 0 c
0 c c c c c
b 0 b b 0 b
b 0 b b c b
b 0 b a 0 a
b 0 b a c a
b 0 a b 0 a
b 0 a b c a
b 0 a a 0 b
b 0 a a c b
b c b b 0 a
b c b b c a
b c b a 0 b
b c b a c b
b c a b 0 b
b c a b c b
b c a a 0 a
b c a a c a
a 0 a a 0 a
a 0 a a c a
a 0 a b 0 b
a 0 a b c b
a 0 b a 0 b
a 0 b a c b
a 0 b b 0 a
a 0 b b c a
a c a a 0 b
a c a a c b
a c a b 0 a
a c a b c a
a c b a 0 a
a c b a c a
a c b b 0 b
a c b b c b
c 0 c c 0 c
c 0 c c c c
c 0 c 0 0 0
c 0 c 0 c 0
c 0 0 c 0 0
c 0 0 c c 0
c 0 0 0 0 c
c 0 0 0 c c
c c c c 0 0
c c c c c 0
c c c 0 0 c
c c c 0 c c
c c 0 c 0 c
c c 0 c c c
c c 0 0 0 0
c c 0 0 c 0
dmin: 1
Weight Enumerator: 1x0 + 1x1 + 10x2 + 10x3 + 13x4 + 21x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)2 (X_b)4 + (X_0)1 (X_b)4 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)4 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 a 0 0 0 0
0 a 0 0 a 0
0 a 0 0 b 0
0 a 0 0 c 0
0 b 0 0 0 0
0 b 0 0 a 0
0 b 0 0 b 0
0 b 0 0 c 0
0 c 0 0 0 0
0 c 0 0 a 0
0 c 0 0 b 0
0 c 0 0 c 0
Is it a nice code?: No
Generator Matrix-224
a 0 a a 0 a
b 0 b b 0 b
0 c 0 0 0 c
0 0 c 0 0 c
0 0 0 c 0 c
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 c
0 0 0 c c 0
0 0 c 0 0 c
0 0 c 0 c 0
0 0 c c 0 0
0 0 c c c c
0 c 0 0 0 c
0 c 0 0 c 0
0 c 0 c 0 0
0 c 0 c c c
0 c c 0 0 0
0 c c 0 c c
0 c c c 0 c
0 c c c c 0
b 0 b b 0 b
b 0 b b c a
b 0 b a 0 a
b 0 b a c b
b 0 a b 0 a
b 0 a b c b
b 0 a a 0 b
b 0 a a c a
b c b b 0 a
b c b b c b
b c b a 0 b
b c b a c a
b c a b 0 b
b c a b c a
b c a a 0 a
b c a a c b
a 0 a a 0 a
a 0 a a c b
a 0 a b 0 b
a 0 a b c a
a 0 b a 0 b
a 0 b a c a
a 0 b b 0 a
a 0 b b c b
a c a a 0 b
a c a a c a
a c a b 0 a
a c a b c b
a c b a 0 a
a c b a c b
a c b b 0 b
a c b b c a
c 0 c c 0 c
c 0 c c c 0
c 0 c 0 0 0
c 0 c 0 c c
c 0 0 c 0 0
c 0 0 c c c
c 0 0 0 0 c
c 0 0 0 c 0
c c c c 0 0
c c c c c c
c c c 0 0 c
c c c 0 c 0
c c 0 c 0 c
c c 0 c c 0
c c 0 0 0 0
c c 0 0 c c
dmin: 2
Weight Enumerator: 1x0 + 0x1 + 15x2 + 0x3 + 23x4 + 16x5 + 9x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_b)4 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)4 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_c)6 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 a 0 0 0 0
0 a 0 0 a 0
0 a 0 0 b 0
0 a 0 0 c 0
0 b 0 0 0 0
0 b 0 0 a 0
0 b 0 0 b 0
0 b 0 0 c 0
0 c 0 0 0 0
0 c 0 0 a 0
0 c 0 0 b 0
0 c 0 0 c 0
Is it a nice code?: No
Generator Matrix-225
a 0 a a a 0
b 0 b b b 0
0 c 0 0 0 0
0 0 c 0 0 0
0 0 0 c 0 0
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 0
0 0 0 c c 0
0 0 c 0 0 0
0 0 c 0 c 0
0 0 c c 0 0
0 0 c c c 0
0 c 0 0 0 0
0 c 0 0 c 0
0 c 0 c 0 0
0 c 0 c c 0
0 c c 0 0 0
0 c c 0 c 0
0 c c c 0 0
0 c c c c 0
b 0 b b b 0
b 0 b b a 0
b 0 b a b 0
b 0 b a a 0
b 0 a b b 0
b 0 a b a 0
b 0 a a b 0
b 0 a a a 0
b c b b b 0
b c b b a 0
b c b a b 0
b c b a a 0
b c a b b 0
b c a b a 0
b c a a b 0
b c a a a 0
a 0 a a a 0
a 0 a a b 0
a 0 a b a 0
a 0 a b b 0
a 0 b a a 0
a 0 b a b 0
a 0 b b a 0
a 0 b b b 0
a c a a a 0
a c a a b 0
a c a b a 0
a c a b b 0
a c b a a 0
a c b a b 0
a c b b a 0
a c b b b 0
c 0 c c c 0
c 0 c c 0 0
c 0 c 0 c 0
c 0 c 0 0 0
c 0 0 c c 0
c 0 0 c 0 0
c 0 0 0 c 0
c 0 0 0 0 0
c c c c c 0
c c c c 0 0
c c c 0 c 0
c c c 0 0 0
c c 0 c c 0
c c 0 c 0 0
c c 0 0 c 0
c c 0 0 0 0
dmin: 1
Weight Enumerator: 1x0 + 5x1 + 10x2 + 10x3 + 21x4 + 17x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_b)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)2 (X_a)1 (X_b)3 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_a)1 (X_b)3 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_b)4 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)2 (X_a)3 (X_b)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_a)3 (X_b)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)4 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 a 0 0 0 0
0 a 0 0 0 a
0 a 0 0 0 b
0 a 0 0 0 c
0 b 0 0 0 0
0 b 0 0 0 a
0 b 0 0 0 b
0 b 0 0 0 c
0 c 0 0 0 0
0 c 0 0 0 a
0 c 0 0 0 b
0 c 0 0 0 c
Is it a nice code?: No
Generator Matrix-226
a 0 a a a 0
b 0 b b b 0
0 c 0 0 0 0
0 0 c 0 0 0
0 0 0 c 0 0
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 0
0 0 0 c c c
0 0 c 0 0 0
0 0 c 0 c c
0 0 c c 0 0
0 0 c c c c
0 c 0 0 0 0
0 c 0 0 c c
0 c 0 c 0 0
0 c 0 c c c
0 c c 0 0 0
0 c c 0 c c
0 c c c 0 0
0 c c c c c
b 0 b b b 0
b 0 b b a c
b 0 b a b 0
b 0 b a a c
b 0 a b b 0
b 0 a b a c
b 0 a a b 0
b 0 a a a c
b c b b b 0
b c b b a c
b c b a b 0
b c b a a c
b c a b b 0
b c a b a c
b c a a b 0
b c a a a c
a 0 a a a 0
a 0 a a b c
a 0 a b a 0
a 0 a b b c
a 0 b a a 0
a 0 b a b c
a 0 b b a 0
a 0 b b b c
a c a a a 0
a c a a b c
a c a b a 0
a c a b b c
a c b a a 0
a c b a b c
a c b b a 0
a c b b b c
c 0 c c c 0
c 0 c c 0 c
c 0 c 0 c 0
c 0 c 0 0 c
c 0 0 c c 0
c 0 0 c 0 c
c 0 0 0 c 0
c 0 0 0 0 c
c c c c c 0
c c c c 0 c
c c c 0 c 0
c c c 0 0 c
c c 0 c c 0
c c 0 c 0 c
c c 0 0 c 0
c c 0 0 0 c
dmin: 1
Weight Enumerator: 1x0 + 3x1 + 6x2 + 10x3 + 17x4 + 19x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_b)4 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)4 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 a 0 0 0 0
0 a 0 0 0 a
0 a 0 0 0 b
0 a 0 0 0 c
0 b 0 0 0 0
0 b 0 0 0 a
0 b 0 0 0 b
0 b 0 0 0 c
0 c 0 0 0 0
0 c 0 0 0 a
0 c 0 0 0 b
0 c 0 0 0 c
Is it a nice code?: No
Generator Matrix-227
a 0 a a a 0
b 0 b b b 0
0 c 0 0 0 0
0 0 c 0 0 0
0 0 0 c 0 c
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 c
0 0 0 c c c
0 0 c 0 0 0
0 0 c 0 c 0
0 0 c c 0 c
0 0 c c c c
0 c 0 0 0 0
0 c 0 0 c 0
0 c 0 c 0 c
0 c 0 c c c
0 c c 0 0 0
0 c c 0 c 0
0 c c c 0 c
0 c c c c c
b 0 b b b 0
b 0 b b a 0
b 0 b a b c
b 0 b a a c
b 0 a b b 0
b 0 a b a 0
b 0 a a b c
b 0 a a a c
b c b b b 0
b c b b a 0
b c b a b c
b c b a a c
b c a b b 0
b c a b a 0
b c a a b c
b c a a a c
a 0 a a a 0
a 0 a a b 0
a 0 a b a c
a 0 a b b c
a 0 b a a 0
a 0 b a b 0
a 0 b b a c
a 0 b b b c
a c a a a 0
a c a a b 0
a c a b a c
a c a b b c
a c b a a 0
a c b a b 0
a c b b a c
a c b b b c
c 0 c c c 0
c 0 c c 0 0
c 0 c 0 c c
c 0 c 0 0 c
c 0 0 c c 0
c 0 0 c 0 0
c 0 0 0 c c
c 0 0 0 0 c
c c c c c 0
c c c c 0 0
c c c 0 c c
c c c 0 0 c
c c 0 c c 0
c c 0 c 0 0
c c 0 0 c c
c c 0 0 0 c
dmin: 1
Weight Enumerator: 1x0 + 3x1 + 6x2 + 10x3 + 17x4 + 19x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)2 (X_b)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)3 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_b)4 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)3 (X_b)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)4 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 a 0 0 0 0
0 a 0 0 0 a
0 a 0 0 0 b
0 a 0 0 0 c
0 b 0 0 0 0
0 b 0 0 0 a
0 b 0 0 0 b
0 b 0 0 0 c
0 c 0 0 0 0
0 c 0 0 0 a
0 c 0 0 0 b
0 c 0 0 0 c
Is it a nice code?: No
Generator Matrix-228
a 0 a a a 0
b 0 b b b 0
0 c 0 0 0 0
0 0 c 0 0 0
0 0 0 c 0 c
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 c
0 0 0 c c 0
0 0 c 0 0 0
0 0 c 0 c c
0 0 c c 0 c
0 0 c c c 0
0 c 0 0 0 0
0 c 0 0 c c
0 c 0 c 0 c
0 c 0 c c 0
0 c c 0 0 0
0 c c 0 c c
0 c c c 0 c
0 c c c c 0
b 0 b b b 0
b 0 b b a c
b 0 b a b c
b 0 b a a 0
b 0 a b b 0
b 0 a b a c
b 0 a a b c
b 0 a a a 0
b c b b b 0
b c b b a c
b c b a b c
b c b a a 0
b c a b b 0
b c a b a c
b c a a b c
b c a a a 0
a 0 a a a 0
a 0 a a b c
a 0 a b a c
a 0 a b b 0
a 0 b a a 0
a 0 b a b c
a 0 b b a c
a 0 b b b 0
a c a a a 0
a c a a b c
a c a b a c
a c a b b 0
a c b a a 0
a c b a b c
a c b b a c
a c b b b 0
c 0 c c c 0
c 0 c c 0 c
c 0 c 0 c c
c 0 c 0 0 0
c 0 0 c c 0
c 0 0 c 0 c
c 0 0 0 c c
c 0 0 0 0 0
c c c c c 0
c c c c 0 c
c c c 0 c c
c c c 0 0 0
c c 0 c c 0
c c 0 c 0 c
c c 0 0 c c
c c 0 0 0 0
dmin: 1
Weight Enumerator: 1x0 + 3x1 + 6x2 + 10x3 + 17x4 + 19x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_b)4 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)4 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 a 0 0 0 0
0 a 0 0 0 a
0 a 0 0 0 b
0 a 0 0 0 c
0 b 0 0 0 0
0 b 0 0 0 a
0 b 0 0 0 b
0 b 0 0 0 c
0 c 0 0 0 0
0 c 0 0 0 a
0 c 0 0 0 b
0 c 0 0 0 c
Is it a nice code?: No
Generator Matrix-229
a 0 a a a 0
b 0 b b b 0
0 c 0 0 0 0
0 0 c 0 0 c
0 0 0 c 0 0
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 0
0 0 0 c c 0
0 0 c 0 0 c
0 0 c 0 c c
0 0 c c 0 c
0 0 c c c c
0 c 0 0 0 0
0 c 0 0 c 0
0 c 0 c 0 0
0 c 0 c c 0
0 c c 0 0 c
0 c c 0 c c
0 c c c 0 c
0 c c c c c
b 0 b b b 0
b 0 b b a 0
b 0 b a b 0
b 0 b a a 0
b 0 a b b c
b 0 a b a c
b 0 a a b c
b 0 a a a c
b c b b b 0
b c b b a 0
b c b a b 0
b c b a a 0
b c a b b c
b c a b a c
b c a a b c
b c a a a c
a 0 a a a 0
a 0 a a b 0
a 0 a b a 0
a 0 a b b 0
a 0 b a a c
a 0 b a b c
a 0 b b a c
a 0 b b b c
a c a a a 0
a c a a b 0
a c a b a 0
a c a b b 0
a c b a a c
a c b a b c
a c b b a c
a c b b b c
c 0 c c c 0
c 0 c c 0 0
c 0 c 0 c 0
c 0 c 0 0 0
c 0 0 c c c
c 0 0 c 0 c
c 0 0 0 c c
c 0 0 0 0 c
c c c c c 0
c c c c 0 0
c c c 0 c 0
c c c 0 0 0
c c 0 c c c
c c 0 c 0 c
c c 0 0 c c
c c 0 0 0 c
dmin: 1
Weight Enumerator: 1x0 + 3x1 + 6x2 + 10x3 + 17x4 + 19x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)2 (X_b)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)2 (X_a)1 (X_b)3 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_b)4 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)2 (X_a)3 (X_b)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)4 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 a 0 0 0 0
0 a 0 0 0 a
0 a 0 0 0 b
0 a 0 0 0 c
0 b 0 0 0 0
0 b 0 0 0 a
0 b 0 0 0 b
0 b 0 0 0 c
0 c 0 0 0 0
0 c 0 0 0 a
0 c 0 0 0 b
0 c 0 0 0 c
Is it a nice code?: No
Generator Matrix-230
a 0 a a a 0
b 0 b b b 0
0 c 0 0 0 0
0 0 c 0 0 c
0 0 0 c 0 0
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 0
0 0 0 c c c
0 0 c 0 0 c
0 0 c 0 c 0
0 0 c c 0 c
0 0 c c c 0
0 c 0 0 0 0
0 c 0 0 c c
0 c 0 c 0 0
0 c 0 c c c
0 c c 0 0 c
0 c c 0 c 0
0 c c c 0 c
0 c c c c 0
b 0 b b b 0
b 0 b b a c
b 0 b a b 0
b 0 b a a c
b 0 a b b c
b 0 a b a 0
b 0 a a b c
b 0 a a a 0
b c b b b 0
b c b b a c
b c b a b 0
b c b a a c
b c a b b c
b c a b a 0
b c a a b c
b c a a a 0
a 0 a a a 0
a 0 a a b c
a 0 a b a 0
a 0 a b b c
a 0 b a a c
a 0 b a b 0
a 0 b b a c
a 0 b b b 0
a c a a a 0
a c a a b c
a c a b a 0
a c a b b c
a c b a a c
a c b a b 0
a c b b a c
a c b b b 0
c 0 c c c 0
c 0 c c 0 c
c 0 c 0 c 0
c 0 c 0 0 c
c 0 0 c c c
c 0 0 c 0 0
c 0 0 0 c c
c 0 0 0 0 0
c c c c c 0
c c c c 0 c
c c c 0 c 0
c c c 0 0 c
c c 0 c c c
c c 0 c 0 0
c c 0 0 c c
c c 0 0 0 0
dmin: 1
Weight Enumerator: 1x0 + 3x1 + 6x2 + 10x3 + 17x4 + 19x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_b)4 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)4 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 a 0 0 0 0
0 a 0 0 0 a
0 a 0 0 0 b
0 a 0 0 0 c
0 b 0 0 0 0
0 b 0 0 0 a
0 b 0 0 0 b
0 b 0 0 0 c
0 c 0 0 0 0
0 c 0 0 0 a
0 c 0 0 0 b
0 c 0 0 0 c
Is it a nice code?: No
Generator Matrix-231
a 0 a a a 0
b 0 b b b 0
0 c 0 0 0 0
0 0 c 0 0 c
0 0 0 c 0 c
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 c
0 0 0 c c c
0 0 c 0 0 c
0 0 c 0 c c
0 0 c c 0 0
0 0 c c c 0
0 c 0 0 0 0
0 c 0 0 c 0
0 c 0 c 0 c
0 c 0 c c c
0 c c 0 0 c
0 c c 0 c c
0 c c c 0 0
0 c c c c 0
b 0 b b b 0
b 0 b b a 0
b 0 b a b c
b 0 b a a c
b 0 a b b c
b 0 a b a c
b 0 a a b 0
b 0 a a a 0
b c b b b 0
b c b b a 0
b c b a b c
b c b a a c
b c a b b c
b c a b a c
b c a a b 0
b c a a a 0
a 0 a a a 0
a 0 a a b 0
a 0 a b a c
a 0 a b b c
a 0 b a a c
a 0 b a b c
a 0 b b a 0
a 0 b b b 0
a c a a a 0
a c a a b 0
a c a b a c
a c a b b c
a c b a a c
a c b a b c
a c b b a 0
a c b b b 0
c 0 c c c 0
c 0 c c 0 0
c 0 c 0 c c
c 0 c 0 0 c
c 0 0 c c c
c 0 0 c 0 c
c 0 0 0 c 0
c 0 0 0 0 0
c c c c c 0
c c c c 0 0
c c c 0 c c
c c c 0 0 c
c c 0 c c c
c c 0 c 0 c
c c 0 0 c 0
c c 0 0 0 0
dmin: 1
Weight Enumerator: 1x0 + 3x1 + 6x2 + 10x3 + 17x4 + 19x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_b)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_b)4 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)4 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 a 0 0 0 0
0 a 0 0 0 a
0 a 0 0 0 b
0 a 0 0 0 c
0 b 0 0 0 0
0 b 0 0 0 a
0 b 0 0 0 b
0 b 0 0 0 c
0 c 0 0 0 0
0 c 0 0 0 a
0 c 0 0 0 b
0 c 0 0 0 c
Is it a nice code?: No
Generator Matrix-232
a 0 a a a 0
b 0 b b b 0
0 c 0 0 0 0
0 0 c 0 0 c
0 0 0 c 0 c
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 c
0 0 0 c c 0
0 0 c 0 0 c
0 0 c 0 c 0
0 0 c c 0 0
0 0 c c c c
0 c 0 0 0 0
0 c 0 0 c c
0 c 0 c 0 c
0 c 0 c c 0
0 c c 0 0 c
0 c c 0 c 0
0 c c c 0 0
0 c c c c c
b 0 b b b 0
b 0 b b a c
b 0 b a b c
b 0 b a a 0
b 0 a b b c
b 0 a b a 0
b 0 a a b 0
b 0 a a a c
b c b b b 0
b c b b a c
b c b a b c
b c b a a 0
b c a b b c
b c a b a 0
b c a a b 0
b c a a a c
a 0 a a a 0
a 0 a a b c
a 0 a b a c
a 0 a b b 0
a 0 b a a c
a 0 b a b 0
a 0 b b a 0
a 0 b b b c
a c a a a 0
a c a a b c
a c a b a c
a c a b b 0
a c b a a c
a c b a b 0
a c b b a 0
a c b b b c
c 0 c c c 0
c 0 c c 0 c
c 0 c 0 c c
c 0 c 0 0 0
c 0 0 c c c
c 0 0 c 0 0
c 0 0 0 c 0
c 0 0 0 0 c
c c c c c 0
c c c c 0 c
c c c 0 c c
c c c 0 0 0
c c 0 c c c
c c 0 c 0 0
c c 0 0 c 0
c c 0 0 0 c
dmin: 1
Weight Enumerator: 1x0 + 1x1 + 10x2 + 10x3 + 13x4 + 21x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_b)4 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)4 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 a 0 0 0 0
0 a 0 0 0 a
0 a 0 0 0 b
0 a 0 0 0 c
0 b 0 0 0 0
0 b 0 0 0 a
0 b 0 0 0 b
0 b 0 0 0 c
0 c 0 0 0 0
0 c 0 0 0 a
0 c 0 0 0 b
0 c 0 0 0 c
Is it a nice code?: No
Generator Matrix-233
a 0 a a a 0
b 0 b b b 0
0 c 0 0 0 c
0 0 c 0 0 0
0 0 0 c 0 0
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 0
0 0 0 c c 0
0 0 c 0 0 0
0 0 c 0 c 0
0 0 c c 0 0
0 0 c c c 0
0 c 0 0 0 c
0 c 0 0 c c
0 c 0 c 0 c
0 c 0 c c c
0 c c 0 0 c
0 c c 0 c c
0 c c c 0 c
0 c c c c c
b 0 b b b 0
b 0 b b a 0
b 0 b a b 0
b 0 b a a 0
b 0 a b b 0
b 0 a b a 0
b 0 a a b 0
b 0 a a a 0
b c b b b c
b c b b a c
b c b a b c
b c b a a c
b c a b b c
b c a b a c
b c a a b c
b c a a a c
a 0 a a a 0
a 0 a a b 0
a 0 a b a 0
a 0 a b b 0
a 0 b a a 0
a 0 b a b 0
a 0 b b a 0
a 0 b b b 0
a c a a a c
a c a a b c
a c a b a c
a c a b b c
a c b a a c
a c b a b c
a c b b a c
a c b b b c
c 0 c c c 0
c 0 c c 0 0
c 0 c 0 c 0
c 0 c 0 0 0
c 0 0 c c 0
c 0 0 c 0 0
c 0 0 0 c 0
c 0 0 0 0 0
c c c c c c
c c c c 0 c
c c c 0 c c
c c c 0 0 c
c c 0 c c c
c c 0 c 0 c
c c 0 0 c c
c c 0 0 0 c
dmin: 1
Weight Enumerator: 1x0 + 4x1 + 7x2 + 8x3 + 23x4 + 4x5 + 17x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)2 (X_b)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)2 (X_a)1 (X_b)3 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_a)1 (X_b)3 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_a)3 (X_b)1 + (X_b)4 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)2 (X_a)3 (X_b)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_a)3 (X_b)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_a)1 (X_b)3 + (X_a)4 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_c)6 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 a 0 0 0 0
0 a 0 0 0 a
0 a 0 0 0 b
0 a 0 0 0 c
0 b 0 0 0 0
0 b 0 0 0 a
0 b 0 0 0 b
0 b 0 0 0 c
0 c 0 0 0 0
0 c 0 0 0 a
0 c 0 0 0 b
0 c 0 0 0 c
Is it a nice code?: No
Generator Matrix-234
a 0 a a a 0
b 0 b b b 0
0 c 0 0 0 c
0 0 c 0 0 0
0 0 0 c 0 0
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 0
0 0 0 c c c
0 0 c 0 0 0
0 0 c 0 c c
0 0 c c 0 0
0 0 c c c c
0 c 0 0 0 c
0 c 0 0 c 0
0 c 0 c 0 c
0 c 0 c c 0
0 c c 0 0 c
0 c c 0 c 0
0 c c c 0 c
0 c c c c 0
b 0 b b b 0
b 0 b b a c
b 0 b a b 0
b 0 b a a c
b 0 a b b 0
b 0 a b a c
b 0 a a b 0
b 0 a a a c
b c b b b c
b c b b a 0
b c b a b c
b c b a a 0
b c a b b c
b c a b a 0
b c a a b c
b c a a a 0
a 0 a a a 0
a 0 a a b c
a 0 a b a 0
a 0 a b b c
a 0 b a a 0
a 0 b a b c
a 0 b b a 0
a 0 b b b c
a c a a a c
a c a a b 0
a c a b a c
a c a b b 0
a c b a a c
a c b a b 0
a c b b a c
a c b b b 0
c 0 c c c 0
c 0 c c 0 c
c 0 c 0 c 0
c 0 c 0 0 c
c 0 0 c c 0
c 0 0 c 0 c
c 0 0 0 c 0
c 0 0 0 0 c
c c c c c c
c c c c 0 0
c c c 0 c c
c c c 0 0 0
c c 0 c c c
c c 0 c 0 0
c c 0 0 c c
c c 0 0 0 0
dmin: 1
Weight Enumerator: 1x0 + 2x1 + 7x2 + 12x3 + 15x4 + 18x5 + 9x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_b)4 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)4 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_c)6 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 a 0 0 0 0
0 a 0 0 0 a
0 a 0 0 0 b
0 a 0 0 0 c
0 b 0 0 0 0
0 b 0 0 0 a
0 b 0 0 0 b
0 b 0 0 0 c
0 c 0 0 0 0
0 c 0 0 0 a
0 c 0 0 0 b
0 c 0 0 0 c
Is it a nice code?: No
Generator Matrix-235
a 0 a a a 0
b 0 b b b 0
0 c 0 0 0 c
0 0 c 0 0 0
0 0 0 c 0 c
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 c
0 0 0 c c c
0 0 c 0 0 0
0 0 c 0 c 0
0 0 c c 0 c
0 0 c c c c
0 c 0 0 0 c
0 c 0 0 c c
0 c 0 c 0 0
0 c 0 c c 0
0 c c 0 0 c
0 c c 0 c c
0 c c c 0 0
0 c c c c 0
b 0 b b b 0
b 0 b b a 0
b 0 b a b c
b 0 b a a c
b 0 a b b 0
b 0 a b a 0
b 0 a a b c
b 0 a a a c
b c b b b c
b c b b a c
b c b a b 0
b c b a a 0
b c a b b c
b c a b a c
b c a a b 0
b c a a a 0
a 0 a a a 0
a 0 a a b 0
a 0 a b a c
a 0 a b b c
a 0 b a a 0
a 0 b a b 0
a 0 b b a c
a 0 b b b c
a c a a a c
a c a a b c
a c a b a 0
a c a b b 0
a c b a a c
a c b a b c
a c b b a 0
a c b b b 0
c 0 c c c 0
c 0 c c 0 0
c 0 c 0 c c
c 0 c 0 0 c
c 0 0 c c 0
c 0 0 c 0 0
c 0 0 0 c c
c 0 0 0 0 c
c c c c c c
c c c c 0 c
c c c 0 c 0
c c c 0 0 0
c c 0 c c c
c c 0 c 0 c
c c 0 0 c 0
c c 0 0 0 0
dmin: 1
Weight Enumerator: 1x0 + 2x1 + 7x2 + 12x3 + 15x4 + 18x5 + 9x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_b)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)3 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_b)4 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)3 (X_b)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)4 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_c)6 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 a 0 0 0 0
0 a 0 0 0 a
0 a 0 0 0 b
0 a 0 0 0 c
0 b 0 0 0 0
0 b 0 0 0 a
0 b 0 0 0 b
0 b 0 0 0 c
0 c 0 0 0 0
0 c 0 0 0 a
0 c 0 0 0 b
0 c 0 0 0 c
Is it a nice code?: No
Generator Matrix-236
a 0 a a a 0
b 0 b b b 0
0 c 0 0 0 c
0 0 c 0 0 0
0 0 0 c 0 c
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 c
0 0 0 c c 0
0 0 c 0 0 0
0 0 c 0 c c
0 0 c c 0 c
0 0 c c c 0
0 c 0 0 0 c
0 c 0 0 c 0
0 c 0 c 0 0
0 c 0 c c c
0 c c 0 0 c
0 c c 0 c 0
0 c c c 0 0
0 c c c c c
b 0 b b b 0
b 0 b b a c
b 0 b a b c
b 0 b a a 0
b 0 a b b 0
b 0 a b a c
b 0 a a b c
b 0 a a a 0
b c b b b c
b c b b a 0
b c b a b 0
b c b a a c
b c a b b c
b c a b a 0
b c a a b 0
b c a a a c
a 0 a a a 0
a 0 a a b c
a 0 a b a c
a 0 a b b 0
a 0 b a a 0
a 0 b a b c
a 0 b b a c
a 0 b b b 0
a c a a a c
a c a a b 0
a c a b a 0
a c a b b c
a c b a a c
a c b a b 0
a c b b a 0
a c b b b c
c 0 c c c 0
c 0 c c 0 c
c 0 c 0 c c
c 0 c 0 0 0
c 0 0 c c 0
c 0 0 c 0 c
c 0 0 0 c c
c 0 0 0 0 0
c c c c c c
c c c c 0 0
c c c 0 c 0
c c c 0 0 c
c c 0 c c c
c c 0 c 0 0
c c 0 0 c 0
c c 0 0 0 c
dmin: 1
Weight Enumerator: 1x0 + 2x1 + 7x2 + 12x3 + 15x4 + 18x5 + 9x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)3 (X_b)1 + (X_b)4 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)3 + (X_a)4 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_c)6 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 a 0 0 0 0
0 a 0 0 0 a
0 a 0 0 0 b
0 a 0 0 0 c
0 b 0 0 0 0
0 b 0 0 0 a
0 b 0 0 0 b
0 b 0 0 0 c
0 c 0 0 0 0
0 c 0 0 0 a
0 c 0 0 0 b
0 c 0 0 0 c
Is it a nice code?: No
Generator Matrix-237
a 0 a a a 0
b 0 b b b 0
0 c 0 0 0 c
0 0 c 0 0 c
0 0 0 c 0 0
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 0
0 0 0 c c 0
0 0 c 0 0 c
0 0 c 0 c c
0 0 c c 0 c
0 0 c c c c
0 c 0 0 0 c
0 c 0 0 c c
0 c 0 c 0 c
0 c 0 c c c
0 c c 0 0 0
0 c c 0 c 0
0 c c c 0 0
0 c c c c 0
b 0 b b b 0
b 0 b b a 0
b 0 b a b 0
b 0 b a a 0
b 0 a b b c
b 0 a b a c
b 0 a a b c
b 0 a a a c
b c b b b c
b c b b a c
b c b a b c
b c b a a c
b c a b b 0
b c a b a 0
b c a a b 0
b c a a a 0
a 0 a a a 0
a 0 a a b 0
a 0 a b a 0
a 0 a b b 0
a 0 b a a c
a 0 b a b c
a 0 b b a c
a 0 b b b c
a c a a a c
a c a a b c
a c a b a c
a c a b b c
a c b a a 0
a c b a b 0
a c b b a 0
a c b b b 0
c 0 c c c 0
c 0 c c 0 0
c 0 c 0 c 0
c 0 c 0 0 0
c 0 0 c c c
c 0 0 c 0 c
c 0 0 0 c c
c 0 0 0 0 c
c c c c c c
c c c c 0 c
c c c 0 c c
c c c 0 0 c
c c 0 c c 0
c c 0 c 0 0
c c 0 0 c 0
c c 0 0 0 0
dmin: 1
Weight Enumerator: 1x0 + 2x1 + 7x2 + 12x3 + 15x4 + 18x5 + 9x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_b)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)2 (X_a)1 (X_b)3 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_b)4 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)2 (X_a)3 (X_b)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)4 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_c)6 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 a 0 0 0 0
0 a 0 0 0 a
0 a 0 0 0 b
0 a 0 0 0 c
0 b 0 0 0 0
0 b 0 0 0 a
0 b 0 0 0 b
0 b 0 0 0 c
0 c 0 0 0 0
0 c 0 0 0 a
0 c 0 0 0 b
0 c 0 0 0 c
Is it a nice code?: No
Generator Matrix-238
a 0 a a a 0
b 0 b b b 0
0 c 0 0 0 c
0 0 c 0 0 c
0 0 0 c 0 0
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 0
0 0 0 c c c
0 0 c 0 0 c
0 0 c 0 c 0
0 0 c c 0 c
0 0 c c c 0
0 c 0 0 0 c
0 c 0 0 c 0
0 c 0 c 0 c
0 c 0 c c 0
0 c c 0 0 0
0 c c 0 c c
0 c c c 0 0
0 c c c c c
b 0 b b b 0
b 0 b b a c
b 0 b a b 0
b 0 b a a c
b 0 a b b c
b 0 a b a 0
b 0 a a b c
b 0 a a a 0
b c b b b c
b c b b a 0
b c b a b c
b c b a a 0
b c a b b 0
b c a b a c
b c a a b 0
b c a a a c
a 0 a a a 0
a 0 a a b c
a 0 a b a 0
a 0 a b b c
a 0 b a a c
a 0 b a b 0
a 0 b b a c
a 0 b b b 0
a c a a a c
a c a a b 0
a c a b a c
a c a b b 0
a c b a a 0
a c b a b c
a c b b a 0
a c b b b c
c 0 c c c 0
c 0 c c 0 c
c 0 c 0 c 0
c 0 c 0 0 c
c 0 0 c c c
c 0 0 c 0 0
c 0 0 0 c c
c 0 0 0 0 0
c c c c c c
c c c c 0 0
c c c 0 c c
c c c 0 0 0
c c 0 c c 0
c c 0 c 0 c
c c 0 0 c 0
c c 0 0 0 c
dmin: 1
Weight Enumerator: 1x0 + 2x1 + 7x2 + 12x3 + 15x4 + 18x5 + 9x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)3 (X_b)1 + (X_b)4 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)3 + (X_a)4 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_c)6 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 a 0 0 0 0
0 a 0 0 0 a
0 a 0 0 0 b
0 a 0 0 0 c
0 b 0 0 0 0
0 b 0 0 0 a
0 b 0 0 0 b
0 b 0 0 0 c
0 c 0 0 0 0
0 c 0 0 0 a
0 c 0 0 0 b
0 c 0 0 0 c
Is it a nice code?: No
Generator Matrix-239
a 0 a a a 0
b 0 b b b 0
0 c 0 0 0 c
0 0 c 0 0 c
0 0 0 c 0 c
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 c
0 0 0 c c c
0 0 c 0 0 c
0 0 c 0 c c
0 0 c c 0 0
0 0 c c c 0
0 c 0 0 0 c
0 c 0 0 c c
0 c 0 c 0 0
0 c 0 c c 0
0 c c 0 0 0
0 c c 0 c 0
0 c c c 0 c
0 c c c c c
b 0 b b b 0
b 0 b b a 0
b 0 b a b c
b 0 b a a c
b 0 a b b c
b 0 a b a c
b 0 a a b 0
b 0 a a a 0
b c b b b c
b c b b a c
b c b a b 0
b c b a a 0
b c a b b 0
b c a b a 0
b c a a b c
b c a a a c
a 0 a a a 0
a 0 a a b 0
a 0 a b a c
a 0 a b b c
a 0 b a a c
a 0 b a b c
a 0 b b a 0
a 0 b b b 0
a c a a a c
a c a a b c
a c a b a 0
a c a b b 0
a c b a a 0
a c b a b 0
a c b b a c
a c b b b c
c 0 c c c 0
c 0 c c 0 0
c 0 c 0 c c
c 0 c 0 0 c
c 0 0 c c c
c 0 0 c 0 c
c 0 0 0 c 0
c 0 0 0 0 0
c c c c c c
c c c c 0 c
c c c 0 c 0
c c c 0 0 0
c c 0 c c 0
c c 0 c 0 0
c c 0 0 c c
c c 0 0 0 c
dmin: 1
Weight Enumerator: 1x0 + 2x1 + 7x2 + 12x3 + 15x4 + 18x5 + 9x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)2 (X_b)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_a)3 (X_b)1 + (X_b)4 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_a)1 (X_b)3 + (X_a)4 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_c)6 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 a 0 0 0 0
0 a 0 0 0 a
0 a 0 0 0 b
0 a 0 0 0 c
0 b 0 0 0 0
0 b 0 0 0 a
0 b 0 0 0 b
0 b 0 0 0 c
0 c 0 0 0 0
0 c 0 0 0 a
0 c 0 0 0 b
0 c 0 0 0 c
Is it a nice code?: No
Generator Matrix-240
a 0 a a a 0
b 0 b b b 0
0 c 0 0 0 c
0 0 c 0 0 c
0 0 0 c 0 c
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 c
0 0 0 c c 0
0 0 c 0 0 c
0 0 c 0 c 0
0 0 c c 0 0
0 0 c c c c
0 c 0 0 0 c
0 c 0 0 c 0
0 c 0 c 0 0
0 c 0 c c c
0 c c 0 0 0
0 c c 0 c c
0 c c c 0 c
0 c c c c 0
b 0 b b b 0
b 0 b b a c
b 0 b a b c
b 0 b a a 0
b 0 a b b c
b 0 a b a 0
b 0 a a b 0
b 0 a a a c
b c b b b c
b c b b a 0
b c b a b 0
b c b a a c
b c a b b 0
b c a b a c
b c a a b c
b c a a a 0
a 0 a a a 0
a 0 a a b c
a 0 a b a c
a 0 a b b 0
a 0 b a a c
a 0 b a b 0
a 0 b b a 0
a 0 b b b c
a c a a a c
a c a a b 0
a c a b a 0
a c a b b c
a c b a a 0
a c b a b c
a c b b a c
a c b b b 0
c 0 c c c 0
c 0 c c 0 c
c 0 c 0 c c
c 0 c 0 0 0
c 0 0 c c c
c 0 0 c 0 0
c 0 0 0 c 0
c 0 0 0 0 c
c c c c c c
c c c c 0 0
c c c 0 c 0
c c c 0 0 c
c c 0 c c 0
c c 0 c 0 c
c c 0 0 c c
c c 0 0 0 0
dmin: 2
Weight Enumerator: 1x0 + 0x1 + 15x2 + 0x3 + 23x4 + 16x5 + 9x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_b)4 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)4 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_c)6 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 a 0 0 0 0
0 a 0 0 0 a
0 a 0 0 0 b
0 a 0 0 0 c
0 b 0 0 0 0
0 b 0 0 0 a
0 b 0 0 0 b
0 b 0 0 0 c
0 c 0 0 0 0
0 c 0 0 0 a
0 c 0 0 0 b
0 c 0 0 0 c
Is it a nice code?: No
Generator Matrix-241
a 0 a a a a
b 0 b b b b
0 c 0 0 0 0
0 0 c 0 0 0
0 0 0 c 0 0
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 0
0 0 0 c c 0
0 0 c 0 0 0
0 0 c 0 c 0
0 0 c c 0 0
0 0 c c c 0
0 c 0 0 0 0
0 c 0 0 c 0
0 c 0 c 0 0
0 c 0 c c 0
0 c c 0 0 0
0 c c 0 c 0
0 c c c 0 0
0 c c c c 0
b 0 b b b b
b 0 b b a b
b 0 b a b b
b 0 b a a b
b 0 a b b b
b 0 a b a b
b 0 a a b b
b 0 a a a b
b c b b b b
b c b b a b
b c b a b b
b c b a a b
b c a b b b
b c a b a b
b c a a b b
b c a a a b
a 0 a a a a
a 0 a a b a
a 0 a b a a
a 0 a b b a
a 0 b a a a
a 0 b a b a
a 0 b b a a
a 0 b b b a
a c a a a a
a c a a b a
a c a b a a
a c a b b a
a c b a a a
a c b a b a
a c b b a a
a c b b b a
c 0 c c c c
c 0 c c 0 c
c 0 c 0 c c
c 0 c 0 0 c
c 0 0 c c c
c 0 0 c 0 c
c 0 0 0 c c
c 0 0 0 0 c
c c c c c c
c c c c 0 c
c c c 0 c c
c c c 0 0 c
c c 0 c c c
c c 0 c 0 c
c c 0 0 c c
c c 0 0 0 c
dmin: 1
Weight Enumerator: 1x0 + 4x1 + 7x2 + 8x3 + 7x4 + 20x5 + 17x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_b)5 + (X_0)1 (X_a)1 (X_b)4 + (X_0)1 (X_a)1 (X_b)4 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)1 (X_b)4 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)3 (X_b)2 + (X_b)5 (X_c)1 + (X_a)1 (X_b)4 (X_c)1 + (X_a)1 (X_b)4 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)1 (X_b)4 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)4 (X_b)1 + (X_0)1 (X_a)4 (X_b)1 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)4 (X_b)1 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)2 (X_b)3 + (X_a)5 (X_c)1 + (X_a)4 (X_b)1 (X_c)1 + (X_a)4 (X_b)1 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)4 (X_b)1 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_c)6 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3
Dual Codewords:
0 0 0 0 0 0
0 a 0 0 0 0
0 b 0 0 0 0
0 c 0 0 0 0
Is it a nice code?: No
Generator Matrix-242
a 0 a a a a
b 0 b b b b
0 c 0 0 0 0
0 0 c 0 0 0
0 0 0 c 0 0
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 0
0 0 0 c c c
0 0 c 0 0 0
0 0 c 0 c c
0 0 c c 0 0
0 0 c c c c
0 c 0 0 0 0
0 c 0 0 c c
0 c 0 c 0 0
0 c 0 c c c
0 c c 0 0 0
0 c c 0 c c
0 c c c 0 0
0 c c c c c
b 0 b b b b
b 0 b b a a
b 0 b a b b
b 0 b a a a
b 0 a b b b
b 0 a b a a
b 0 a a b b
b 0 a a a a
b c b b b b
b c b b a a
b c b a b b
b c b a a a
b c a b b b
b c a b a a
b c a a b b
b c a a a a
a 0 a a a a
a 0 a a b b
a 0 a b a a
a 0 a b b b
a 0 b a a a
a 0 b a b b
a 0 b b a a
a 0 b b b b
a c a a a a
a c a a b b
a c a b a a
a c a b b b
a c b a a a
a c b a b b
a c b b a a
a c b b b b
c 0 c c c c
c 0 c c 0 0
c 0 c 0 c c
c 0 c 0 0 0
c 0 0 c c c
c 0 0 c 0 0
c 0 0 0 c c
c 0 0 0 0 0
c c c c c c
c c c c 0 0
c c c 0 c c
c c c 0 0 0
c c 0 c c c
c c 0 c 0 0
c c 0 0 c c
c c 0 0 0 0
dmin: 1
Weight Enumerator: 1x0 + 4x1 + 7x2 + 8x3 + 7x4 + 20x5 + 17x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)1 (X_b)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)1 (X_b)4 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)1 (X_b)4 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)4 (X_b)1 + (X_b)5 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)1 (X_b)4 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)1 (X_b)4 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)4 (X_b)1 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)4 (X_b)1 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)4 (X_b)1 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)1 (X_b)4 + (X_a)5 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)4 (X_b)1 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)4 (X_b)1 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)1 (X_b)4 (X_c)1 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_c)6 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2
Dual Codewords:
0 0 0 0 0 0
0 a 0 0 0 0
0 b 0 0 0 0
0 c 0 0 0 0
Is it a nice code?: No
Generator Matrix-243
a 0 a a a a
b 0 b b b b
0 c 0 0 0 0
0 0 c 0 0 0
0 0 0 c 0 c
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 c
0 0 0 c c c
0 0 c 0 0 0
0 0 c 0 c 0
0 0 c c 0 c
0 0 c c c c
0 c 0 0 0 0
0 c 0 0 c 0
0 c 0 c 0 c
0 c 0 c c c
0 c c 0 0 0
0 c c 0 c 0
0 c c c 0 c
0 c c c c c
b 0 b b b b
b 0 b b a b
b 0 b a b a
b 0 b a a a
b 0 a b b b
b 0 a b a b
b 0 a a b a
b 0 a a a a
b c b b b b
b c b b a b
b c b a b a
b c b a a a
b c a b b b
b c a b a b
b c a a b a
b c a a a a
a 0 a a a a
a 0 a a b a
a 0 a b a b
a 0 a b b b
a 0 b a a a
a 0 b a b a
a 0 b b a b
a 0 b b b b
a c a a a a
a c a a b a
a c a b a b
a c a b b b
a c b a a a
a c b a b a
a c b b a b
a c b b b b
c 0 c c c c
c 0 c c 0 c
c 0 c 0 c 0
c 0 c 0 0 0
c 0 0 c c c
c 0 0 c 0 c
c 0 0 0 c 0
c 0 0 0 0 0
c c c c c c
c c c c 0 c
c c c 0 c 0
c c c 0 0 0
c c 0 c c c
c c 0 c 0 c
c c 0 0 c 0
c c 0 0 0 0
dmin: 1
Weight Enumerator: 1x0 + 4x1 + 7x2 + 8x3 + 7x4 + 20x5 + 17x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)1 (X_b)5 + (X_0)1 (X_a)1 (X_b)4 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)1 (X_b)4 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)4 (X_b)1 + (X_b)5 (X_c)1 + (X_a)1 (X_b)4 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)1 (X_b)4 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)4 (X_b)1 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)4 (X_b)1 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)4 (X_b)1 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)1 (X_b)4 + (X_a)5 (X_c)1 + (X_a)4 (X_b)1 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)4 (X_b)1 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)1 (X_b)4 (X_c)1 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_c)6 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2
Dual Codewords:
0 0 0 0 0 0
0 a 0 0 0 0
0 b 0 0 0 0
0 c 0 0 0 0
Is it a nice code?: No
Generator Matrix-244
a 0 a a a a
b 0 b b b b
0 c 0 0 0 0
0 0 c 0 0 0
0 0 0 c 0 c
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 c
0 0 0 c c 0
0 0 c 0 0 0
0 0 c 0 c c
0 0 c c 0 c
0 0 c c c 0
0 c 0 0 0 0
0 c 0 0 c c
0 c 0 c 0 c
0 c 0 c c 0
0 c c 0 0 0
0 c c 0 c c
0 c c c 0 c
0 c c c c 0
b 0 b b b b
b 0 b b a a
b 0 b a b a
b 0 b a a b
b 0 a b b b
b 0 a b a a
b 0 a a b a
b 0 a a a b
b c b b b b
b c b b a a
b c b a b a
b c b a a b
b c a b b b
b c a b a a
b c a a b a
b c a a a b
a 0 a a a a
a 0 a a b b
a 0 a b a b
a 0 a b b a
a 0 b a a a
a 0 b a b b
a 0 b b a b
a 0 b b b a
a c a a a a
a c a a b b
a c a b a b
a c a b b a
a c b a a a
a c b a b b
a c b b a b
a c b b b a
c 0 c c c c
c 0 c c 0 0
c 0 c 0 c 0
c 0 c 0 0 c
c 0 0 c c c
c 0 0 c 0 0
c 0 0 0 c 0
c 0 0 0 0 c
c c c c c c
c c c c 0 0
c c c 0 c 0
c c c 0 0 c
c c 0 c c c
c c 0 c 0 0
c c 0 0 c 0
c c 0 0 0 c
dmin: 1
Weight Enumerator: 1x0 + 2x1 + 7x2 + 12x3 + 7x4 + 18x5 + 17x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_b)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)1 (X_b)4 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)3 (X_b)2 + (X_b)5 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)1 (X_b)4 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)4 (X_b)1 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)2 (X_b)3 + (X_a)5 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)4 (X_b)1 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_c)6 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3
Dual Codewords:
0 0 0 0 0 0
0 a 0 0 0 0
0 b 0 0 0 0
0 c 0 0 0 0
Is it a nice code?: No
Generator Matrix-245
a 0 a a a a
b 0 b b b b
0 c 0 0 0 0
0 0 c 0 0 c
0 0 0 c 0 0
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 0
0 0 0 c c 0
0 0 c 0 0 c
0 0 c 0 c c
0 0 c c 0 c
0 0 c c c c
0 c 0 0 0 0
0 c 0 0 c 0
0 c 0 c 0 0
0 c 0 c c 0
0 c c 0 0 c
0 c c 0 c c
0 c c c 0 c
0 c c c c c
b 0 b b b b
b 0 b b a b
b 0 b a b b
b 0 b a a b
b 0 a b b a
b 0 a b a a
b 0 a a b a
b 0 a a a a
b c b b b b
b c b b a b
b c b a b b
b c b a a b
b c a b b a
b c a b a a
b c a a b a
b c a a a a
a 0 a a a a
a 0 a a b a
a 0 a b a a
a 0 a b b a
a 0 b a a b
a 0 b a b b
a 0 b b a b
a 0 b b b b
a c a a a a
a c a a b a
a c a b a a
a c a b b a
a c b a a b
a c b a b b
a c b b a b
a c b b b b
c 0 c c c c
c 0 c c 0 c
c 0 c 0 c c
c 0 c 0 0 c
c 0 0 c c 0
c 0 0 c 0 0
c 0 0 0 c 0
c 0 0 0 0 0
c c c c c c
c c c c 0 c
c c c 0 c c
c c c 0 0 c
c c 0 c c 0
c c 0 c 0 0
c c 0 0 c 0
c c 0 0 0 0
dmin: 1
Weight Enumerator: 1x0 + 4x1 + 7x2 + 8x3 + 7x4 + 20x5 + 17x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)1 (X_b)5 + (X_0)1 (X_a)1 (X_b)4 + (X_0)1 (X_a)1 (X_b)4 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)4 (X_b)1 + (X_b)5 (X_c)1 + (X_a)1 (X_b)4 (X_c)1 + (X_a)1 (X_b)4 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)4 (X_b)1 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)4 (X_b)1 + (X_0)1 (X_a)4 (X_b)1 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)1 (X_b)4 + (X_a)5 (X_c)1 + (X_a)4 (X_b)1 (X_c)1 + (X_a)4 (X_b)1 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)1 (X_b)4 (X_c)1 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_c)6 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2
Dual Codewords:
0 0 0 0 0 0
0 a 0 0 0 0
0 b 0 0 0 0
0 c 0 0 0 0
Is it a nice code?: No
Generator Matrix-246
a 0 a a a a
b 0 b b b b
0 c 0 0 0 0
0 0 c 0 0 c
0 0 0 c 0 0
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 0
0 0 0 c c c
0 0 c 0 0 c
0 0 c 0 c 0
0 0 c c 0 c
0 0 c c c 0
0 c 0 0 0 0
0 c 0 0 c c
0 c 0 c 0 0
0 c 0 c c c
0 c c 0 0 c
0 c c 0 c 0
0 c c c 0 c
0 c c c c 0
b 0 b b b b
b 0 b b a a
b 0 b a b b
b 0 b a a a
b 0 a b b a
b 0 a b a b
b 0 a a b a
b 0 a a a b
b c b b b b
b c b b a a
b c b a b b
b c b a a a
b c a b b a
b c a b a b
b c a a b a
b c a a a b
a 0 a a a a
a 0 a a b b
a 0 a b a a
a 0 a b b b
a 0 b a a b
a 0 b a b a
a 0 b b a b
a 0 b b b a
a c a a a a
a c a a b b
a c a b a a
a c a b b b
a c b a a b
a c b a b a
a c b b a b
a c b b b a
c 0 c c c c
c 0 c c 0 0
c 0 c 0 c c
c 0 c 0 0 0
c 0 0 c c 0
c 0 0 c 0 c
c 0 0 0 c 0
c 0 0 0 0 c
c c c c c c
c c c c 0 0
c c c 0 c c
c c c 0 0 0
c c 0 c c 0
c c 0 c 0 c
c c 0 0 c 0
c c 0 0 0 c
dmin: 1
Weight Enumerator: 1x0 + 2x1 + 7x2 + 12x3 + 7x4 + 18x5 + 17x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_b)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)1 (X_b)4 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)3 (X_b)2 + (X_b)5 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)1 (X_b)4 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)4 (X_b)1 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)2 (X_b)3 + (X_a)5 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)4 (X_b)1 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_c)6 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3
Dual Codewords:
0 0 0 0 0 0
0 a 0 0 0 0
0 b 0 0 0 0
0 c 0 0 0 0
Is it a nice code?: No
Generator Matrix-247
a 0 a a a a
b 0 b b b b
0 c 0 0 0 0
0 0 c 0 0 c
0 0 0 c 0 c
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 c
0 0 0 c c c
0 0 c 0 0 c
0 0 c 0 c c
0 0 c c 0 0
0 0 c c c 0
0 c 0 0 0 0
0 c 0 0 c 0
0 c 0 c 0 c
0 c 0 c c c
0 c c 0 0 c
0 c c 0 c c
0 c c c 0 0
0 c c c c 0
b 0 b b b b
b 0 b b a b
b 0 b a b a
b 0 b a a a
b 0 a b b a
b 0 a b a a
b 0 a a b b
b 0 a a a b
b c b b b b
b c b b a b
b c b a b a
b c b a a a
b c a b b a
b c a b a a
b c a a b b
b c a a a b
a 0 a a a a
a 0 a a b a
a 0 a b a b
a 0 a b b b
a 0 b a a b
a 0 b a b b
a 0 b b a a
a 0 b b b a
a c a a a a
a c a a b a
a c a b a b
a c a b b b
a c b a a b
a c b a b b
a c b b a a
a c b b b a
c 0 c c c c
c 0 c c 0 c
c 0 c 0 c 0
c 0 c 0 0 0
c 0 0 c c 0
c 0 0 c 0 0
c 0 0 0 c c
c 0 0 0 0 c
c c c c c c
c c c c 0 c
c c c 0 c 0
c c c 0 0 0
c c 0 c c 0
c c 0 c 0 0
c c 0 0 c c
c c 0 0 0 c
dmin: 1
Weight Enumerator: 1x0 + 2x1 + 7x2 + 12x3 + 7x4 + 18x5 + 17x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_b)5 + (X_0)1 (X_a)1 (X_b)4 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)3 (X_b)2 + (X_b)5 (X_c)1 + (X_a)1 (X_b)4 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)4 (X_b)1 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)2 (X_b)3 + (X_a)5 (X_c)1 + (X_a)4 (X_b)1 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_c)6 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3
Dual Codewords:
0 0 0 0 0 0
0 a 0 0 0 0
0 b 0 0 0 0
0 c 0 0 0 0
Is it a nice code?: No
Generator Matrix-248
a 0 a a a a
b 0 b b b b
0 c 0 0 0 0
0 0 c 0 0 c
0 0 0 c 0 c
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 c
0 0 0 c c 0
0 0 c 0 0 c
0 0 c 0 c 0
0 0 c c 0 0
0 0 c c c c
0 c 0 0 0 0
0 c 0 0 c c
0 c 0 c 0 c
0 c 0 c c 0
0 c c 0 0 c
0 c c 0 c 0
0 c c c 0 0
0 c c c c c
b 0 b b b b
b 0 b b a a
b 0 b a b a
b 0 b a a b
b 0 a b b a
b 0 a b a b
b 0 a a b b
b 0 a a a a
b c b b b b
b c b b a a
b c b a b a
b c b a a b
b c a b b a
b c a b a b
b c a a b b
b c a a a a
a 0 a a a a
a 0 a a b b
a 0 a b a b
a 0 a b b a
a 0 b a a b
a 0 b a b a
a 0 b b a a
a 0 b b b b
a c a a a a
a c a a b b
a c a b a b
a c a b b a
a c b a a b
a c b a b a
a c b b a a
a c b b b b
c 0 c c c c
c 0 c c 0 0
c 0 c 0 c 0
c 0 c 0 0 c
c 0 0 c c 0
c 0 0 c 0 c
c 0 0 0 c c
c 0 0 0 0 0
c c c c c c
c c c c 0 0
c c c 0 c 0
c c c 0 0 c
c c 0 c c 0
c c 0 c 0 c
c c 0 0 c c
c c 0 0 0 0
dmin: 1
Weight Enumerator: 1x0 + 2x1 + 7x2 + 12x3 + 7x4 + 18x5 + 17x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)1 (X_b)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)4 (X_b)1 + (X_b)5 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)4 (X_b)1 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)1 (X_b)4 + (X_a)5 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)1 (X_b)4 (X_c)1 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_c)6 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2
Dual Codewords:
0 0 0 0 0 0
0 a 0 0 0 0
0 b 0 0 0 0
0 c 0 0 0 0
Is it a nice code?: No
Generator Matrix-249
a 0 a a a a
b 0 b b b b
0 c 0 0 0 c
0 0 c 0 0 0
0 0 0 c 0 0
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 0
0 0 0 c c 0
0 0 c 0 0 0
0 0 c 0 c 0
0 0 c c 0 0
0 0 c c c 0
0 c 0 0 0 c
0 c 0 0 c c
0 c 0 c 0 c
0 c 0 c c c
0 c c 0 0 c
0 c c 0 c c
0 c c c 0 c
0 c c c c c
b 0 b b b b
b 0 b b a b
b 0 b a b b
b 0 b a a b
b 0 a b b b
b 0 a b a b
b 0 a a b b
b 0 a a a b
b c b b b a
b c b b a a
b c b a b a
b c b a a a
b c a b b a
b c a b a a
b c a a b a
b c a a a a
a 0 a a a a
a 0 a a b a
a 0 a b a a
a 0 a b b a
a 0 b a a a
a 0 b a b a
a 0 b b a a
a 0 b b b a
a c a a a b
a c a a b b
a c a b a b
a c a b b b
a c b a a b
a c b a b b
a c b b a b
a c b b b b
c 0 c c c c
c 0 c c 0 c
c 0 c 0 c c
c 0 c 0 0 c
c 0 0 c c c
c 0 0 c 0 c
c 0 0 0 c c
c 0 0 0 0 c
c c c c c 0
c c c c 0 0
c c c 0 c 0
c c c 0 0 0
c c 0 c c 0
c c 0 c 0 0
c c 0 0 c 0
c c 0 0 0 0
dmin: 1
Weight Enumerator: 1x0 + 3x1 + 6x2 + 10x3 + 9x4 + 19x5 + 16x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)1 (X_b)5 + (X_0)1 (X_a)1 (X_b)4 + (X_0)1 (X_a)1 (X_b)4 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)1 (X_b)4 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)3 (X_b)2 + (X_a)1 (X_b)4 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)4 (X_b)1 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)4 (X_b)1 + (X_0)1 (X_a)4 (X_b)1 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)4 (X_b)1 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)2 (X_b)3 + (X_a)4 (X_b)1 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)1 (X_b)4 (X_c)1 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2
Dual Codewords:
0 0 0 0 0 0
0 a 0 0 0 0
0 b 0 0 0 0
0 c 0 0 0 0
Is it a nice code?: No
Generator Matrix-250
a 0 a a a a
b 0 b b b b
0 c 0 0 0 c
0 0 c 0 0 0
0 0 0 c 0 0
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 0
0 0 0 c c c
0 0 c 0 0 0
0 0 c 0 c c
0 0 c c 0 0
0 0 c c c c
0 c 0 0 0 c
0 c 0 0 c 0
0 c 0 c 0 c
0 c 0 c c 0
0 c c 0 0 c
0 c c 0 c 0
0 c c c 0 c
0 c c c c 0
b 0 b b b b
b 0 b b a a
b 0 b a b b
b 0 b a a a
b 0 a b b b
b 0 a b a a
b 0 a a b b
b 0 a a a a
b c b b b a
b c b b a b
b c b a b a
b c b a a b
b c a b b a
b c a b a b
b c a a b a
b c a a a b
a 0 a a a a
a 0 a a b b
a 0 a b a a
a 0 a b b b
a 0 b a a a
a 0 b a b b
a 0 b b a a
a 0 b b b b
a c a a a b
a c a a b a
a c a b a b
a c a b b a
a c b a a b
a c b a b a
a c b b a b
a c b b b a
c 0 c c c c
c 0 c c 0 0
c 0 c 0 c c
c 0 c 0 0 0
c 0 0 c c c
c 0 0 c 0 0
c 0 0 0 c c
c 0 0 0 0 0
c c c c c 0
c c c c 0 c
c c c 0 c 0
c c c 0 0 c
c c 0 c c 0
c c 0 c 0 c
c c 0 0 c 0
c c 0 0 0 c
dmin: 1
Weight Enumerator: 1x0 + 3x1 + 6x2 + 10x3 + 9x4 + 19x5 + 16x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_b)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)1 (X_b)4 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)1 (X_b)4 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)4 (X_b)1 + (X_a)1 (X_b)4 (X_c)1 + (X_a)1 (X_b)4 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)4 (X_b)1 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)4 (X_b)1 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)1 (X_b)4 + (X_a)4 (X_b)1 (X_c)1 + (X_a)4 (X_b)1 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3
Dual Codewords:
0 0 0 0 0 0
0 a 0 0 0 0
0 b 0 0 0 0
0 c 0 0 0 0
Is it a nice code?: No
Generator Matrix-251
a 0 a a a a
b 0 b b b b
0 c 0 0 0 c
0 0 c 0 0 0
0 0 0 c 0 c
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 c
0 0 0 c c c
0 0 c 0 0 0
0 0 c 0 c 0
0 0 c c 0 c
0 0 c c c c
0 c 0 0 0 c
0 c 0 0 c c
0 c 0 c 0 0
0 c 0 c c 0
0 c c 0 0 c
0 c c 0 c c
0 c c c 0 0
0 c c c c 0
b 0 b b b b
b 0 b b a b
b 0 b a b a
b 0 b a a a
b 0 a b b b
b 0 a b a b
b 0 a a b a
b 0 a a a a
b c b b b a
b c b b a a
b c b a b b
b c b a a b
b c a b b a
b c a b a a
b c a a b b
b c a a a b
a 0 a a a a
a 0 a a b a
a 0 a b a b
a 0 a b b b
a 0 b a a a
a 0 b a b a
a 0 b b a b
a 0 b b b b
a c a a a b
a c a a b b
a c a b a a
a c a b b a
a c b a a b
a c b a b b
a c b b a a
a c b b b a
c 0 c c c c
c 0 c c 0 c
c 0 c 0 c 0
c 0 c 0 0 0
c 0 0 c c c
c 0 0 c 0 c
c 0 0 0 c 0
c 0 0 0 0 0
c c c c c 0
c c c c 0 0
c c c 0 c c
c c c 0 0 c
c c 0 c c 0
c c 0 c 0 0
c c 0 0 c c
c c 0 0 0 c
dmin: 1
Weight Enumerator: 1x0 + 3x1 + 6x2 + 10x3 + 9x4 + 19x5 + 16x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_b)5 + (X_0)1 (X_a)1 (X_b)4 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)1 (X_b)4 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)4 (X_b)1 + (X_a)1 (X_b)4 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)1 (X_b)4 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)4 (X_b)1 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)4 (X_b)1 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)1 (X_b)4 + (X_a)4 (X_b)1 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)4 (X_b)1 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3
Dual Codewords:
0 0 0 0 0 0
0 a 0 0 0 0
0 b 0 0 0 0
0 c 0 0 0 0
Is it a nice code?: No
Generator Matrix-252
a 0 a a a a
b 0 b b b b
0 c 0 0 0 c
0 0 c 0 0 0
0 0 0 c 0 c
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 c
0 0 0 c c 0
0 0 c 0 0 0
0 0 c 0 c c
0 0 c c 0 c
0 0 c c c 0
0 c 0 0 0 c
0 c 0 0 c 0
0 c 0 c 0 0
0 c 0 c c c
0 c c 0 0 c
0 c c 0 c 0
0 c c c 0 0
0 c c c c c
b 0 b b b b
b 0 b b a a
b 0 b a b a
b 0 b a a b
b 0 a b b b
b 0 a b a a
b 0 a a b a
b 0 a a a b
b c b b b a
b c b b a b
b c b a b b
b c b a a a
b c a b b a
b c a b a b
b c a a b b
b c a a a a
a 0 a a a a
a 0 a a b b
a 0 a b a b
a 0 a b b a
a 0 b a a a
a 0 b a b b
a 0 b b a b
a 0 b b b a
a c a a a b
a c a a b a
a c a b a a
a c a b b b
a c b a a b
a c b a b a
a c b b a a
a c b b b b
c 0 c c c c
c 0 c c 0 0
c 0 c 0 c 0
c 0 c 0 0 c
c 0 0 c c c
c 0 0 c 0 0
c 0 0 0 c 0
c 0 0 0 0 c
c c c c c 0
c c c c 0 c
c c c 0 c c
c c c 0 0 0
c c 0 c c 0
c c 0 c 0 c
c c 0 0 c c
c c 0 0 0 0
dmin: 1
Weight Enumerator: 1x0 + 1x1 + 10x2 + 10x3 + 5x4 + 21x5 + 16x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)1 (X_b)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)1 (X_b)4 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)3 (X_b)2 + (X_a)1 (X_b)4 (X_c)1 + (X_a)1 (X_b)4 (X_c)1 + (X_a)1 (X_b)4 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)4 (X_b)1 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)4 (X_b)1 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)2 (X_b)3 + (X_a)4 (X_b)1 (X_c)1 + (X_a)4 (X_b)1 (X_c)1 + (X_a)4 (X_b)1 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)1 (X_b)4 (X_c)1 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2
Dual Codewords:
0 0 0 0 0 0
0 a 0 0 0 0
0 b 0 0 0 0
0 c 0 0 0 0
Is it a nice code?: No
Generator Matrix-253
a 0 a a a a
b 0 b b b b
0 c 0 0 0 c
0 0 c 0 0 c
0 0 0 c 0 0
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 0
0 0 0 c c 0
0 0 c 0 0 c
0 0 c 0 c c
0 0 c c 0 c
0 0 c c c c
0 c 0 0 0 c
0 c 0 0 c c
0 c 0 c 0 c
0 c 0 c c c
0 c c 0 0 0
0 c c 0 c 0
0 c c c 0 0
0 c c c c 0
b 0 b b b b
b 0 b b a b
b 0 b a b b
b 0 b a a b
b 0 a b b a
b 0 a b a a
b 0 a a b a
b 0 a a a a
b c b b b a
b c b b a a
b c b a b a
b c b a a a
b c a b b b
b c a b a b
b c a a b b
b c a a a b
a 0 a a a a
a 0 a a b a
a 0 a b a a
a 0 a b b a
a 0 b a a b
a 0 b a b b
a 0 b b a b
a 0 b b b b
a c a a a b
a c a a b b
a c a b a b
a c a b b b
a c b a a a
a c b a b a
a c b b a a
a c b b b a
c 0 c c c c
c 0 c c 0 c
c 0 c 0 c c
c 0 c 0 0 c
c 0 0 c c 0
c 0 0 c 0 0
c 0 0 0 c 0
c 0 0 0 0 0
c c c c c 0
c c c c 0 0
c c c 0 c 0
c c c 0 0 0
c c 0 c c c
c c 0 c 0 c
c c 0 0 c c
c c 0 0 0 c
dmin: 1
Weight Enumerator: 1x0 + 3x1 + 6x2 + 10x3 + 9x4 + 19x5 + 16x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_b)5 + (X_0)1 (X_a)1 (X_b)4 + (X_0)1 (X_a)1 (X_b)4 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)4 (X_b)1 + (X_a)1 (X_b)4 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)1 (X_b)4 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)4 (X_b)1 + (X_0)1 (X_a)4 (X_b)1 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)1 (X_b)4 + (X_a)4 (X_b)1 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)4 (X_b)1 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3
Dual Codewords:
0 0 0 0 0 0
0 a 0 0 0 0
0 b 0 0 0 0
0 c 0 0 0 0
Is it a nice code?: No
Generator Matrix-254
a 0 a a a a
b 0 b b b b
0 c 0 0 0 c
0 0 c 0 0 c
0 0 0 c 0 0
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 0
0 0 0 c c c
0 0 c 0 0 c
0 0 c 0 c 0
0 0 c c 0 c
0 0 c c c 0
0 c 0 0 0 c
0 c 0 0 c 0
0 c 0 c 0 c
0 c 0 c c 0
0 c c 0 0 0
0 c c 0 c c
0 c c c 0 0
0 c c c c c
b 0 b b b b
b 0 b b a a
b 0 b a b b
b 0 b a a a
b 0 a b b a
b 0 a b a b
b 0 a a b a
b 0 a a a b
b c b b b a
b c b b a b
b c b a b a
b c b a a b
b c a b b b
b c a b a a
b c a a b b
b c a a a a
a 0 a a a a
a 0 a a b b
a 0 a b a a
a 0 a b b b
a 0 b a a b
a 0 b a b a
a 0 b b a b
a 0 b b b a
a c a a a b
a c a a b a
a c a b a b
a c a b b a
a c b a a a
a c b a b b
a c b b a a
a c b b b b
c 0 c c c c
c 0 c c 0 0
c 0 c 0 c c
c 0 c 0 0 0
c 0 0 c c 0
c 0 0 c 0 c
c 0 0 0 c 0
c 0 0 0 0 c
c c c c c 0
c c c c 0 c
c c c 0 c 0
c c c 0 0 c
c c 0 c c c
c c 0 c 0 0
c c 0 0 c c
c c 0 0 0 0
dmin: 1
Weight Enumerator: 1x0 + 1x1 + 10x2 + 10x3 + 5x4 + 21x5 + 16x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)1 (X_b)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)1 (X_b)4 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)3 (X_b)2 + (X_a)1 (X_b)4 (X_c)1 + (X_a)1 (X_b)4 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)1 (X_b)4 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)4 (X_b)1 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)4 (X_b)1 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)2 (X_b)3 + (X_a)4 (X_b)1 (X_c)1 + (X_a)4 (X_b)1 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)4 (X_b)1 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)1 (X_b)4 (X_c)1 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2
Dual Codewords:
0 0 0 0 0 0
0 a 0 0 0 0
0 b 0 0 0 0
0 c 0 0 0 0
Is it a nice code?: No
Generator Matrix-255
a 0 a a a a
b 0 b b b b
0 c 0 0 0 c
0 0 c 0 0 c
0 0 0 c 0 c
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 c
0 0 0 c c c
0 0 c 0 0 c
0 0 c 0 c c
0 0 c c 0 0
0 0 c c c 0
0 c 0 0 0 c
0 c 0 0 c c
0 c 0 c 0 0
0 c 0 c c 0
0 c c 0 0 0
0 c c 0 c 0
0 c c c 0 c
0 c c c c c
b 0 b b b b
b 0 b b a b
b 0 b a b a
b 0 b a a a
b 0 a b b a
b 0 a b a a
b 0 a a b b
b 0 a a a b
b c b b b a
b c b b a a
b c b a b b
b c b a a b
b c a b b b
b c a b a b
b c a a b a
b c a a a a
a 0 a a a a
a 0 a a b a
a 0 a b a b
a 0 a b b b
a 0 b a a b
a 0 b a b b
a 0 b b a a
a 0 b b b a
a c a a a b
a c a a b b
a c a b a a
a c a b b a
a c b a a a
a c b a b a
a c b b a b
a c b b b b
c 0 c c c c
c 0 c c 0 c
c 0 c 0 c 0
c 0 c 0 0 0
c 0 0 c c 0
c 0 0 c 0 0
c 0 0 0 c c
c 0 0 0 0 c
c c c c c 0
c c c c 0 0
c c c 0 c c
c c c 0 0 c
c c 0 c c c
c c 0 c 0 c
c c 0 0 c 0
c c 0 0 0 0
dmin: 1
Weight Enumerator: 1x0 + 1x1 + 10x2 + 10x3 + 5x4 + 21x5 + 16x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)1 (X_b)5 + (X_0)1 (X_a)1 (X_b)4 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)3 (X_b)2 + (X_a)1 (X_b)4 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)1 (X_b)4 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)1 (X_b)4 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)4 (X_b)1 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)4 (X_b)1 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)2 (X_b)3 + (X_a)4 (X_b)1 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)4 (X_b)1 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)4 (X_b)1 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)1 (X_b)4 (X_c)1 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2
Dual Codewords:
0 0 0 0 0 0
0 a 0 0 0 0
0 b 0 0 0 0
0 c 0 0 0 0
Is it a nice code?: No
Generator Matrix-256
a 0 a a a a
b 0 b b b b
0 c 0 0 0 c
0 0 c 0 0 c
0 0 0 c 0 c
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 c
0 0 0 c c 0
0 0 c 0 0 c
0 0 c 0 c 0
0 0 c c 0 0
0 0 c c c c
0 c 0 0 0 c
0 c 0 0 c 0
0 c 0 c 0 0
0 c 0 c c c
0 c c 0 0 0
0 c c 0 c c
0 c c c 0 c
0 c c c c 0
b 0 b b b b
b 0 b b a a
b 0 b a b a
b 0 b a a b
b 0 a b b a
b 0 a b a b
b 0 a a b b
b 0 a a a a
b c b b b a
b c b b a b
b c b a b b
b c b a a a
b c a b b b
b c a b a a
b c a a b a
b c a a a b
a 0 a a a a
a 0 a a b b
a 0 a b a b
a 0 a b b a
a 0 b a a b
a 0 b a b a
a 0 b b a a
a 0 b b b b
a c a a a b
a c a a b a
a c a b a a
a c a b b b
a c b a a a
a c b a b b
a c b b a b
a c b b b a
c 0 c c c c
c 0 c c 0 0
c 0 c 0 c 0
c 0 c 0 0 c
c 0 0 c c 0
c 0 0 c 0 c
c 0 0 0 c c
c 0 0 0 0 0
c c c c c 0
c c c c 0 c
c c c 0 c c
c c c 0 0 0
c c 0 c c c
c c 0 c 0 0
c c 0 0 c 0
c c 0 0 0 c
dmin: 1
Weight Enumerator: 1x0 + 1x1 + 10x2 + 10x3 + 5x4 + 21x5 + 16x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_b)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)4 (X_b)1 + (X_a)1 (X_b)4 (X_c)1 + (X_a)1 (X_b)4 (X_c)1 + (X_a)1 (X_b)4 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)1 (X_b)4 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)1 (X_b)4 + (X_a)4 (X_b)1 (X_c)1 + (X_a)4 (X_b)1 (X_c)1 + (X_a)4 (X_b)1 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)4 (X_b)1 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3
Dual Codewords:
0 0 0 0 0 0
0 a 0 0 0 0
0 b 0 0 0 0
0 c 0 0 0 0
Is it a nice code?: No
Generator Matrix-257
a a 0 0 0 0
b b 0 0 0 0
0 c 0 0 0 0
0 0 c 0 0 0
0 0 0 c 0 0
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 0
0 0 0 c c 0
0 0 c 0 0 0
0 0 c 0 c 0
0 0 c c 0 0
0 0 c c c 0
0 c 0 0 0 0
0 c 0 0 c 0
0 c 0 c 0 0
0 c 0 c c 0
0 c c 0 0 0
0 c c 0 c 0
0 c c c 0 0
0 c c c c 0
b b 0 0 0 0
b b 0 0 c 0
b b 0 c 0 0
b b 0 c c 0
b b c 0 0 0
b b c 0 c 0
b b c c 0 0
b b c c c 0
b a 0 0 0 0
b a 0 0 c 0
b a 0 c 0 0
b a 0 c c 0
b a c 0 0 0
b a c 0 c 0
b a c c 0 0
b a c c c 0
a a 0 0 0 0
a a 0 0 c 0
a a 0 c 0 0
a a 0 c c 0
a a c 0 0 0
a a c 0 c 0
a a c c 0 0
a a c c c 0
a b 0 0 0 0
a b 0 0 c 0
a b 0 c 0 0
a b 0 c c 0
a b c 0 0 0
a b c 0 c 0
a b c c 0 0
a b c c c 0
c c 0 0 0 0
c c 0 0 c 0
c c 0 c 0 0
c c 0 c c 0
c c c 0 0 0
c c c 0 c 0
c c c c 0 0
c c c c c 0
c 0 0 0 0 0
c 0 0 0 c 0
c 0 0 c 0 0
c 0 0 c c 0
c 0 c 0 0 0
c 0 c 0 c 0
c 0 c c 0 0
c 0 c c c 0
dmin: 1
Weight Enumerator: 1x0 + 5x1 + 14x2 + 22x3 + 17x4 + 5x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_b)2 + (X_0)3 (X_b)2 (X_c)1 + (X_0)3 (X_b)2 (X_c)1 + (X_0)2 (X_b)2 (X_c)2 + (X_0)3 (X_b)2 (X_c)1 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)4 (X_a)1 (X_b)1 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_a)2 + (X_0)3 (X_a)2 (X_c)1 + (X_0)3 (X_a)2 (X_c)1 + (X_0)2 (X_a)2 (X_c)2 + (X_0)3 (X_a)2 (X_c)1 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)4 (X_a)1 (X_b)1 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 a a 0
0 0 0 a a a
0 0 0 a a b
0 0 0 a a c
0 0 0 a b 0
0 0 0 a b a
0 0 0 a b b
0 0 0 a b c
0 0 0 a c 0
0 0 0 a c a
0 0 0 a c b
0 0 0 a c c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 b a 0
0 0 0 b a a
0 0 0 b a b
0 0 0 b a c
0 0 0 b b 0
0 0 0 b b a
0 0 0 b b b
0 0 0 b b c
0 0 0 b c 0
0 0 0 b c a
0 0 0 b c b
0 0 0 b c c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c
0 0 0 c a 0
0 0 0 c a a
0 0 0 c a b
0 0 0 c a c
0 0 0 c b 0
0 0 0 c b a
0 0 0 c b b
0 0 0 c b c
0 0 0 c c 0
0 0 0 c c a
0 0 0 c c b
0 0 0 c c c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 a 0 a 0
0 0 a 0 a a
0 0 a 0 a b
0 0 a 0 a c
0 0 a 0 b 0
0 0 a 0 b a
0 0 a 0 b b
0 0 a 0 b c
0 0 a 0 c 0
0 0 a 0 c a
0 0 a 0 c b
0 0 a 0 c c
0 0 a a 0 0
0 0 a a 0 a
0 0 a a 0 b
0 0 a a 0 c
0 0 a a a 0
0 0 a a a a
0 0 a a a b
0 0 a a a c
0 0 a a b 0
0 0 a a b a
0 0 a a b b
0 0 a a b c
0 0 a a c 0
0 0 a a c a
0 0 a a c b
0 0 a a c c
0 0 a b 0 0
0 0 a b 0 a
0 0 a b 0 b
0 0 a b 0 c
0 0 a b a 0
0 0 a b a a
0 0 a b a b
0 0 a b a c
0 0 a b b 0
0 0 a b b a
0 0 a b b b
0 0 a b b c
0 0 a b c 0
0 0 a b c a
0 0 a b c b
0 0 a b c c
0 0 a c 0 0
0 0 a c 0 a
0 0 a c 0 b
0 0 a c 0 c
0 0 a c a 0
0 0 a c a a
0 0 a c a b
0 0 a c a c
0 0 a c b 0
0 0 a c b a
0 0 a c b b
0 0 a c b c
0 0 a c c 0
0 0 a c c a
0 0 a c c b
0 0 a c c c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 b 0 a 0
0 0 b 0 a a
0 0 b 0 a b
0 0 b 0 a c
0 0 b 0 b 0
0 0 b 0 b a
0 0 b 0 b b
0 0 b 0 b c
0 0 b 0 c 0
0 0 b 0 c a
0 0 b 0 c b
0 0 b 0 c c
0 0 b a 0 0
0 0 b a 0 a
0 0 b a 0 b
0 0 b a 0 c
0 0 b a a 0
0 0 b a a a
0 0 b a a b
0 0 b a a c
0 0 b a b 0
0 0 b a b a
0 0 b a b b
0 0 b a b c
0 0 b a c 0
0 0 b a c a
0 0 b a c b
0 0 b a c c
0 0 b b 0 0
0 0 b b 0 a
0 0 b b 0 b
0 0 b b 0 c
0 0 b b a 0
0 0 b b a a
0 0 b b a b
0 0 b b a c
0 0 b b b 0
0 0 b b b a
0 0 b b b b
0 0 b b b c
0 0 b b c 0
0 0 b b c a
0 0 b b c b
0 0 b b c c
0 0 b c 0 0
0 0 b c 0 a
0 0 b c 0 b
0 0 b c 0 c
0 0 b c a 0
0 0 b c a a
0 0 b c a b
0 0 b c a c
0 0 b c b 0
0 0 b c b a
0 0 b c b b
0 0 b c b c
0 0 b c c 0
0 0 b c c a
0 0 b c c b
0 0 b c c c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c
0 0 c 0 a 0
0 0 c 0 a a
0 0 c 0 a b
0 0 c 0 a c
0 0 c 0 b 0
0 0 c 0 b a
0 0 c 0 b b
0 0 c 0 b c
0 0 c 0 c 0
0 0 c 0 c a
0 0 c 0 c b
0 0 c 0 c c
0 0 c a 0 0
0 0 c a 0 a
0 0 c a 0 b
0 0 c a 0 c
0 0 c a a 0
0 0 c a a a
0 0 c a a b
0 0 c a a c
0 0 c a b 0
0 0 c a b a
0 0 c a b b
0 0 c a b c
0 0 c a c 0
0 0 c a c a
0 0 c a c b
0 0 c a c c
0 0 c b 0 0
0 0 c b 0 a
0 0 c b 0 b
0 0 c b 0 c
0 0 c b a 0
0 0 c b a a
0 0 c b a b
0 0 c b a c
0 0 c b b 0
0 0 c b b a
0 0 c b b b
0 0 c b b c
0 0 c b c 0
0 0 c b c a
0 0 c b c b
0 0 c b c c
0 0 c c 0 0
0 0 c c 0 a
0 0 c c 0 b
0 0 c c 0 c
0 0 c c a 0
0 0 c c a a
0 0 c c a b
0 0 c c a c
0 0 c c b 0
0 0 c c b a
0 0 c c b b
0 0 c c b c
0 0 c c c 0
0 0 c c c a
0 0 c c c b
0 0 c c c c
Is it a nice code?: No
Generator Matrix-258
a a 0 0 0 0
b b 0 0 0 0
0 c 0 0 0 0
0 0 c 0 0 0
0 0 0 c 0 0
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 0
0 0 0 c c c
0 0 c 0 0 0
0 0 c 0 c c
0 0 c c 0 0
0 0 c c c c
0 c 0 0 0 0
0 c 0 0 c c
0 c 0 c 0 0
0 c 0 c c c
0 c c 0 0 0
0 c c 0 c c
0 c c c 0 0
0 c c c c c
b b 0 0 0 0
b b 0 0 c c
b b 0 c 0 0
b b 0 c c c
b b c 0 0 0
b b c 0 c c
b b c c 0 0
b b c c c c
b a 0 0 0 0
b a 0 0 c c
b a 0 c 0 0
b a 0 c c c
b a c 0 0 0
b a c 0 c c
b a c c 0 0
b a c c c c
a a 0 0 0 0
a a 0 0 c c
a a 0 c 0 0
a a 0 c c c
a a c 0 0 0
a a c 0 c c
a a c c 0 0
a a c c c c
a b 0 0 0 0
a b 0 0 c c
a b 0 c 0 0
a b 0 c c c
a b c 0 0 0
a b c 0 c c
a b c c 0 0
a b c c c c
c c 0 0 0 0
c c 0 0 c c
c c 0 c 0 0
c c 0 c c c
c c c 0 0 0
c c c 0 c c
c c c c 0 0
c c c c c c
c 0 0 0 0 0
c 0 0 0 c c
c 0 0 c 0 0
c 0 0 c c c
c 0 c 0 0 0
c 0 c 0 c c
c 0 c c 0 0
c 0 c c c c
dmin: 1
Weight Enumerator: 1x0 + 4x1 + 11x2 + 16x3 + 15x4 + 12x5 + 5x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)3 (X_b)2 (X_c)1 + (X_0)1 (X_b)2 (X_c)3 + (X_0)3 (X_b)2 (X_c)1 + (X_0)1 (X_b)2 (X_c)3 + (X_0)2 (X_b)2 (X_c)2 + (X_b)2 (X_c)4 + (X_0)4 (X_a)1 (X_b)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_a)1 (X_b)1 (X_c)4 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)3 (X_a)2 (X_c)1 + (X_0)1 (X_a)2 (X_c)3 + (X_0)3 (X_a)2 (X_c)1 + (X_0)1 (X_a)2 (X_c)3 + (X_0)2 (X_a)2 (X_c)2 + (X_a)2 (X_c)4 + (X_0)4 (X_a)1 (X_b)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_a)1 (X_b)1 (X_c)4 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_c)6 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 a a 0
0 0 0 a a a
0 0 0 a a b
0 0 0 a a c
0 0 0 a b 0
0 0 0 a b a
0 0 0 a b b
0 0 0 a b c
0 0 0 a c 0
0 0 0 a c a
0 0 0 a c b
0 0 0 a c c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 b a 0
0 0 0 b a a
0 0 0 b a b
0 0 0 b a c
0 0 0 b b 0
0 0 0 b b a
0 0 0 b b b
0 0 0 b b c
0 0 0 b c 0
0 0 0 b c a
0 0 0 b c b
0 0 0 b c c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c
0 0 0 c a 0
0 0 0 c a a
0 0 0 c a b
0 0 0 c a c
0 0 0 c b 0
0 0 0 c b a
0 0 0 c b b
0 0 0 c b c
0 0 0 c c 0
0 0 0 c c a
0 0 0 c c b
0 0 0 c c c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 a 0 a 0
0 0 a 0 a a
0 0 a 0 a b
0 0 a 0 a c
0 0 a 0 b 0
0 0 a 0 b a
0 0 a 0 b b
0 0 a 0 b c
0 0 a 0 c 0
0 0 a 0 c a
0 0 a 0 c b
0 0 a 0 c c
0 0 a a 0 0
0 0 a a 0 a
0 0 a a 0 b
0 0 a a 0 c
0 0 a a a 0
0 0 a a a a
0 0 a a a b
0 0 a a a c
0 0 a a b 0
0 0 a a b a
0 0 a a b b
0 0 a a b c
0 0 a a c 0
0 0 a a c a
0 0 a a c b
0 0 a a c c
0 0 a b 0 0
0 0 a b 0 a
0 0 a b 0 b
0 0 a b 0 c
0 0 a b a 0
0 0 a b a a
0 0 a b a b
0 0 a b a c
0 0 a b b 0
0 0 a b b a
0 0 a b b b
0 0 a b b c
0 0 a b c 0
0 0 a b c a
0 0 a b c b
0 0 a b c c
0 0 a c 0 0
0 0 a c 0 a
0 0 a c 0 b
0 0 a c 0 c
0 0 a c a 0
0 0 a c a a
0 0 a c a b
0 0 a c a c
0 0 a c b 0
0 0 a c b a
0 0 a c b b
0 0 a c b c
0 0 a c c 0
0 0 a c c a
0 0 a c c b
0 0 a c c c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 b 0 a 0
0 0 b 0 a a
0 0 b 0 a b
0 0 b 0 a c
0 0 b 0 b 0
0 0 b 0 b a
0 0 b 0 b b
0 0 b 0 b c
0 0 b 0 c 0
0 0 b 0 c a
0 0 b 0 c b
0 0 b 0 c c
0 0 b a 0 0
0 0 b a 0 a
0 0 b a 0 b
0 0 b a 0 c
0 0 b a a 0
0 0 b a a a
0 0 b a a b
0 0 b a a c
0 0 b a b 0
0 0 b a b a
0 0 b a b b
0 0 b a b c
0 0 b a c 0
0 0 b a c a
0 0 b a c b
0 0 b a c c
0 0 b b 0 0
0 0 b b 0 a
0 0 b b 0 b
0 0 b b 0 c
0 0 b b a 0
0 0 b b a a
0 0 b b a b
0 0 b b a c
0 0 b b b 0
0 0 b b b a
0 0 b b b b
0 0 b b b c
0 0 b b c 0
0 0 b b c a
0 0 b b c b
0 0 b b c c
0 0 b c 0 0
0 0 b c 0 a
0 0 b c 0 b
0 0 b c 0 c
0 0 b c a 0
0 0 b c a a
0 0 b c a b
0 0 b c a c
0 0 b c b 0
0 0 b c b a
0 0 b c b b
0 0 b c b c
0 0 b c c 0
0 0 b c c a
0 0 b c c b
0 0 b c c c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c
0 0 c 0 a 0
0 0 c 0 a a
0 0 c 0 a b
0 0 c 0 a c
0 0 c 0 b 0
0 0 c 0 b a
0 0 c 0 b b
0 0 c 0 b c
0 0 c 0 c 0
0 0 c 0 c a
0 0 c 0 c b
0 0 c 0 c c
0 0 c a 0 0
0 0 c a 0 a
0 0 c a 0 b
0 0 c a 0 c
0 0 c a a 0
0 0 c a a a
0 0 c a a b
0 0 c a a c
0 0 c a b 0
0 0 c a b a
0 0 c a b b
0 0 c a b c
0 0 c a c 0
0 0 c a c a
0 0 c a c b
0 0 c a c c
0 0 c b 0 0
0 0 c b 0 a
0 0 c b 0 b
0 0 c b 0 c
0 0 c b a 0
0 0 c b a a
0 0 c b a b
0 0 c b a c
0 0 c b b 0
0 0 c b b a
0 0 c b b b
0 0 c b b c
0 0 c b c 0
0 0 c b c a
0 0 c b c b
0 0 c b c c
0 0 c c 0 0
0 0 c c 0 a
0 0 c c 0 b
0 0 c c 0 c
0 0 c c a 0
0 0 c c a a
0 0 c c a b
0 0 c c a c
0 0 c c b 0
0 0 c c b a
0 0 c c b b
0 0 c c b c
0 0 c c c 0
0 0 c c c a
0 0 c c c b
0 0 c c c c
Is it a nice code?: No
Generator Matrix-259
a a 0 0 0 0
b b 0 0 0 0
0 c 0 0 0 0
0 0 c 0 0 0
0 0 0 c 0 c
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 c
0 0 0 c c c
0 0 c 0 0 0
0 0 c 0 c 0
0 0 c c 0 c
0 0 c c c c
0 c 0 0 0 0
0 c 0 0 c 0
0 c 0 c 0 c
0 c 0 c c c
0 c c 0 0 0
0 c c 0 c 0
0 c c c 0 c
0 c c c c c
b b 0 0 0 0
b b 0 0 c 0
b b 0 c 0 c
b b 0 c c c
b b c 0 0 0
b b c 0 c 0
b b c c 0 c
b b c c c c
b a 0 0 0 0
b a 0 0 c 0
b a 0 c 0 c
b a 0 c c c
b a c 0 0 0
b a c 0 c 0
b a c c 0 c
b a c c c c
a a 0 0 0 0
a a 0 0 c 0
a a 0 c 0 c
a a 0 c c c
a a c 0 0 0
a a c 0 c 0
a a c c 0 c
a a c c c c
a b 0 0 0 0
a b 0 0 c 0
a b 0 c 0 c
a b 0 c c c
a b c 0 0 0
a b c 0 c 0
a b c c 0 c
a b c c c c
c c 0 0 0 0
c c 0 0 c 0
c c 0 c 0 c
c c 0 c c c
c c c 0 0 0
c c c 0 c 0
c c c c 0 c
c c c c c c
c 0 0 0 0 0
c 0 0 0 c 0
c 0 0 c 0 c
c 0 0 c c c
c 0 c 0 0 0
c 0 c 0 c 0
c 0 c c 0 c
c 0 c c c c
dmin: 1
Weight Enumerator: 1x0 + 4x1 + 11x2 + 16x3 + 15x4 + 12x5 + 5x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)4 (X_b)2 + (X_0)3 (X_b)2 (X_c)1 + (X_0)2 (X_b)2 (X_c)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)3 (X_b)2 (X_c)1 + (X_0)2 (X_b)2 (X_c)2 + (X_0)1 (X_b)2 (X_c)3 + (X_b)2 (X_c)4 + (X_0)4 (X_a)1 (X_b)1 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_a)1 (X_b)1 (X_c)4 + (X_0)4 (X_a)2 + (X_0)3 (X_a)2 (X_c)1 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)3 (X_a)2 (X_c)1 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)2 (X_c)3 + (X_a)2 (X_c)4 + (X_0)4 (X_a)1 (X_b)1 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_a)1 (X_b)1 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_c)6 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 a a 0
0 0 0 a a a
0 0 0 a a b
0 0 0 a a c
0 0 0 a b 0
0 0 0 a b a
0 0 0 a b b
0 0 0 a b c
0 0 0 a c 0
0 0 0 a c a
0 0 0 a c b
0 0 0 a c c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 b a 0
0 0 0 b a a
0 0 0 b a b
0 0 0 b a c
0 0 0 b b 0
0 0 0 b b a
0 0 0 b b b
0 0 0 b b c
0 0 0 b c 0
0 0 0 b c a
0 0 0 b c b
0 0 0 b c c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c
0 0 0 c a 0
0 0 0 c a a
0 0 0 c a b
0 0 0 c a c
0 0 0 c b 0
0 0 0 c b a
0 0 0 c b b
0 0 0 c b c
0 0 0 c c 0
0 0 0 c c a
0 0 0 c c b
0 0 0 c c c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 a 0 a 0
0 0 a 0 a a
0 0 a 0 a b
0 0 a 0 a c
0 0 a 0 b 0
0 0 a 0 b a
0 0 a 0 b b
0 0 a 0 b c
0 0 a 0 c 0
0 0 a 0 c a
0 0 a 0 c b
0 0 a 0 c c
0 0 a a 0 0
0 0 a a 0 a
0 0 a a 0 b
0 0 a a 0 c
0 0 a a a 0
0 0 a a a a
0 0 a a a b
0 0 a a a c
0 0 a a b 0
0 0 a a b a
0 0 a a b b
0 0 a a b c
0 0 a a c 0
0 0 a a c a
0 0 a a c b
0 0 a a c c
0 0 a b 0 0
0 0 a b 0 a
0 0 a b 0 b
0 0 a b 0 c
0 0 a b a 0
0 0 a b a a
0 0 a b a b
0 0 a b a c
0 0 a b b 0
0 0 a b b a
0 0 a b b b
0 0 a b b c
0 0 a b c 0
0 0 a b c a
0 0 a b c b
0 0 a b c c
0 0 a c 0 0
0 0 a c 0 a
0 0 a c 0 b
0 0 a c 0 c
0 0 a c a 0
0 0 a c a a
0 0 a c a b
0 0 a c a c
0 0 a c b 0
0 0 a c b a
0 0 a c b b
0 0 a c b c
0 0 a c c 0
0 0 a c c a
0 0 a c c b
0 0 a c c c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 b 0 a 0
0 0 b 0 a a
0 0 b 0 a b
0 0 b 0 a c
0 0 b 0 b 0
0 0 b 0 b a
0 0 b 0 b b
0 0 b 0 b c
0 0 b 0 c 0
0 0 b 0 c a
0 0 b 0 c b
0 0 b 0 c c
0 0 b a 0 0
0 0 b a 0 a
0 0 b a 0 b
0 0 b a 0 c
0 0 b a a 0
0 0 b a a a
0 0 b a a b
0 0 b a a c
0 0 b a b 0
0 0 b a b a
0 0 b a b b
0 0 b a b c
0 0 b a c 0
0 0 b a c a
0 0 b a c b
0 0 b a c c
0 0 b b 0 0
0 0 b b 0 a
0 0 b b 0 b
0 0 b b 0 c
0 0 b b a 0
0 0 b b a a
0 0 b b a b
0 0 b b a c
0 0 b b b 0
0 0 b b b a
0 0 b b b b
0 0 b b b c
0 0 b b c 0
0 0 b b c a
0 0 b b c b
0 0 b b c c
0 0 b c 0 0
0 0 b c 0 a
0 0 b c 0 b
0 0 b c 0 c
0 0 b c a 0
0 0 b c a a
0 0 b c a b
0 0 b c a c
0 0 b c b 0
0 0 b c b a
0 0 b c b b
0 0 b c b c
0 0 b c c 0
0 0 b c c a
0 0 b c c b
0 0 b c c c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c
0 0 c 0 a 0
0 0 c 0 a a
0 0 c 0 a b
0 0 c 0 a c
0 0 c 0 b 0
0 0 c 0 b a
0 0 c 0 b b
0 0 c 0 b c
0 0 c 0 c 0
0 0 c 0 c a
0 0 c 0 c b
0 0 c 0 c c
0 0 c a 0 0
0 0 c a 0 a
0 0 c a 0 b
0 0 c a 0 c
0 0 c a a 0
0 0 c a a a
0 0 c a a b
0 0 c a a c
0 0 c a b 0
0 0 c a b a
0 0 c a b b
0 0 c a b c
0 0 c a c 0
0 0 c a c a
0 0 c a c b
0 0 c a c c
0 0 c b 0 0
0 0 c b 0 a
0 0 c b 0 b
0 0 c b 0 c
0 0 c b a 0
0 0 c b a a
0 0 c b a b
0 0 c b a c
0 0 c b b 0
0 0 c b b a
0 0 c b b b
0 0 c b b c
0 0 c b c 0
0 0 c b c a
0 0 c b c b
0 0 c b c c
0 0 c c 0 0
0 0 c c 0 a
0 0 c c 0 b
0 0 c c 0 c
0 0 c c a 0
0 0 c c a a
0 0 c c a b
0 0 c c a c
0 0 c c b 0
0 0 c c b a
0 0 c c b b
0 0 c c b c
0 0 c c c 0
0 0 c c c a
0 0 c c c b
0 0 c c c c
Is it a nice code?: No
Generator Matrix-260
a a 0 0 0 0
b b 0 0 0 0
0 c 0 0 0 0
0 0 c 0 0 0
0 0 0 c 0 c
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 c
0 0 0 c c 0
0 0 c 0 0 0
0 0 c 0 c c
0 0 c c 0 c
0 0 c c c 0
0 c 0 0 0 0
0 c 0 0 c c
0 c 0 c 0 c
0 c 0 c c 0
0 c c 0 0 0
0 c c 0 c c
0 c c c 0 c
0 c c c c 0
b b 0 0 0 0
b b 0 0 c c
b b 0 c 0 c
b b 0 c c 0
b b c 0 0 0
b b c 0 c c
b b c c 0 c
b b c c c 0
b a 0 0 0 0
b a 0 0 c c
b a 0 c 0 c
b a 0 c c 0
b a c 0 0 0
b a c 0 c c
b a c c 0 c
b a c c c 0
a a 0 0 0 0
a a 0 0 c c
a a 0 c 0 c
a a 0 c c 0
a a c 0 0 0
a a c 0 c c
a a c c 0 c
a a c c c 0
a b 0 0 0 0
a b 0 0 c c
a b 0 c 0 c
a b 0 c c 0
a b c 0 0 0
a b c 0 c c
a b c c 0 c
a b c c c 0
c c 0 0 0 0
c c 0 0 c c
c c 0 c 0 c
c c 0 c c 0
c c c 0 0 0
c c c 0 c c
c c c c 0 c
c c c c c 0
c 0 0 0 0 0
c 0 0 0 c c
c 0 0 c 0 c
c 0 0 c c 0
c 0 c 0 0 0
c 0 c 0 c c
c 0 c c 0 c
c 0 c c c 0
dmin: 1
Weight Enumerator: 1x0 + 3x1 + 10x2 + 14x3 + 21x4 + 15x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)3 (X_b)2 (X_c)1 + (X_0)1 (X_b)2 (X_c)3 + (X_0)1 (X_b)2 (X_c)3 + (X_0)1 (X_b)2 (X_c)3 + (X_0)4 (X_a)1 (X_b)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)3 (X_a)2 (X_c)1 + (X_0)1 (X_a)2 (X_c)3 + (X_0)1 (X_a)2 (X_c)3 + (X_0)1 (X_a)2 (X_c)3 + (X_0)4 (X_a)1 (X_b)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 a a 0
0 0 0 a a a
0 0 0 a a b
0 0 0 a a c
0 0 0 a b 0
0 0 0 a b a
0 0 0 a b b
0 0 0 a b c
0 0 0 a c 0
0 0 0 a c a
0 0 0 a c b
0 0 0 a c c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 b a 0
0 0 0 b a a
0 0 0 b a b
0 0 0 b a c
0 0 0 b b 0
0 0 0 b b a
0 0 0 b b b
0 0 0 b b c
0 0 0 b c 0
0 0 0 b c a
0 0 0 b c b
0 0 0 b c c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c
0 0 0 c a 0
0 0 0 c a a
0 0 0 c a b
0 0 0 c a c
0 0 0 c b 0
0 0 0 c b a
0 0 0 c b b
0 0 0 c b c
0 0 0 c c 0
0 0 0 c c a
0 0 0 c c b
0 0 0 c c c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 a 0 a 0
0 0 a 0 a a
0 0 a 0 a b
0 0 a 0 a c
0 0 a 0 b 0
0 0 a 0 b a
0 0 a 0 b b
0 0 a 0 b c
0 0 a 0 c 0
0 0 a 0 c a
0 0 a 0 c b
0 0 a 0 c c
0 0 a a 0 0
0 0 a a 0 a
0 0 a a 0 b
0 0 a a 0 c
0 0 a a a 0
0 0 a a a a
0 0 a a a b
0 0 a a a c
0 0 a a b 0
0 0 a a b a
0 0 a a b b
0 0 a a b c
0 0 a a c 0
0 0 a a c a
0 0 a a c b
0 0 a a c c
0 0 a b 0 0
0 0 a b 0 a
0 0 a b 0 b
0 0 a b 0 c
0 0 a b a 0
0 0 a b a a
0 0 a b a b
0 0 a b a c
0 0 a b b 0
0 0 a b b a
0 0 a b b b
0 0 a b b c
0 0 a b c 0
0 0 a b c a
0 0 a b c b
0 0 a b c c
0 0 a c 0 0
0 0 a c 0 a
0 0 a c 0 b
0 0 a c 0 c
0 0 a c a 0
0 0 a c a a
0 0 a c a b
0 0 a c a c
0 0 a c b 0
0 0 a c b a
0 0 a c b b
0 0 a c b c
0 0 a c c 0
0 0 a c c a
0 0 a c c b
0 0 a c c c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 b 0 a 0
0 0 b 0 a a
0 0 b 0 a b
0 0 b 0 a c
0 0 b 0 b 0
0 0 b 0 b a
0 0 b 0 b b
0 0 b 0 b c
0 0 b 0 c 0
0 0 b 0 c a
0 0 b 0 c b
0 0 b 0 c c
0 0 b a 0 0
0 0 b a 0 a
0 0 b a 0 b
0 0 b a 0 c
0 0 b a a 0
0 0 b a a a
0 0 b a a b
0 0 b a a c
0 0 b a b 0
0 0 b a b a
0 0 b a b b
0 0 b a b c
0 0 b a c 0
0 0 b a c a
0 0 b a c b
0 0 b a c c
0 0 b b 0 0
0 0 b b 0 a
0 0 b b 0 b
0 0 b b 0 c
0 0 b b a 0
0 0 b b a a
0 0 b b a b
0 0 b b a c
0 0 b b b 0
0 0 b b b a
0 0 b b b b
0 0 b b b c
0 0 b b c 0
0 0 b b c a
0 0 b b c b
0 0 b b c c
0 0 b c 0 0
0 0 b c 0 a
0 0 b c 0 b
0 0 b c 0 c
0 0 b c a 0
0 0 b c a a
0 0 b c a b
0 0 b c a c
0 0 b c b 0
0 0 b c b a
0 0 b c b b
0 0 b c b c
0 0 b c c 0
0 0 b c c a
0 0 b c c b
0 0 b c c c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c
0 0 c 0 a 0
0 0 c 0 a a
0 0 c 0 a b
0 0 c 0 a c
0 0 c 0 b 0
0 0 c 0 b a
0 0 c 0 b b
0 0 c 0 b c
0 0 c 0 c 0
0 0 c 0 c a
0 0 c 0 c b
0 0 c 0 c c
0 0 c a 0 0
0 0 c a 0 a
0 0 c a 0 b
0 0 c a 0 c
0 0 c a a 0
0 0 c a a a
0 0 c a a b
0 0 c a a c
0 0 c a b 0
0 0 c a b a
0 0 c a b b
0 0 c a b c
0 0 c a c 0
0 0 c a c a
0 0 c a c b
0 0 c a c c
0 0 c b 0 0
0 0 c b 0 a
0 0 c b 0 b
0 0 c b 0 c
0 0 c b a 0
0 0 c b a a
0 0 c b a b
0 0 c b a c
0 0 c b b 0
0 0 c b b a
0 0 c b b b
0 0 c b b c
0 0 c b c 0
0 0 c b c a
0 0 c b c b
0 0 c b c c
0 0 c c 0 0
0 0 c c 0 a
0 0 c c 0 b
0 0 c c 0 c
0 0 c c a 0
0 0 c c a a
0 0 c c a b
0 0 c c a c
0 0 c c b 0
0 0 c c b a
0 0 c c b b
0 0 c c b c
0 0 c c c 0
0 0 c c c a
0 0 c c c b
0 0 c c c c
Is it a nice code?: No
Generator Matrix-261
a a 0 0 0 0
b b 0 0 0 0
0 c 0 0 0 0
0 0 c 0 0 c
0 0 0 c 0 0
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 0
0 0 0 c c 0
0 0 c 0 0 c
0 0 c 0 c c
0 0 c c 0 c
0 0 c c c c
0 c 0 0 0 0
0 c 0 0 c 0
0 c 0 c 0 0
0 c 0 c c 0
0 c c 0 0 c
0 c c 0 c c
0 c c c 0 c
0 c c c c c
b b 0 0 0 0
b b 0 0 c 0
b b 0 c 0 0
b b 0 c c 0
b b c 0 0 c
b b c 0 c c
b b c c 0 c
b b c c c c
b a 0 0 0 0
b a 0 0 c 0
b a 0 c 0 0
b a 0 c c 0
b a c 0 0 c
b a c 0 c c
b a c c 0 c
b a c c c c
a a 0 0 0 0
a a 0 0 c 0
a a 0 c 0 0
a a 0 c c 0
a a c 0 0 c
a a c 0 c c
a a c c 0 c
a a c c c c
a b 0 0 0 0
a b 0 0 c 0
a b 0 c 0 0
a b 0 c c 0
a b c 0 0 c
a b c 0 c c
a b c c 0 c
a b c c c c
c c 0 0 0 0
c c 0 0 c 0
c c 0 c 0 0
c c 0 c c 0
c c c 0 0 c
c c c 0 c c
c c c c 0 c
c c c c c c
c 0 0 0 0 0
c 0 0 0 c 0
c 0 0 c 0 0
c 0 0 c c 0
c 0 c 0 0 c
c 0 c 0 c c
c 0 c c 0 c
c 0 c c c c
dmin: 1
Weight Enumerator: 1x0 + 4x1 + 11x2 + 16x3 + 15x4 + 12x5 + 5x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)4 (X_b)2 + (X_0)3 (X_b)2 (X_c)1 + (X_0)3 (X_b)2 (X_c)1 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)1 (X_b)2 (X_c)3 + (X_b)2 (X_c)4 + (X_0)4 (X_a)1 (X_b)1 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_a)1 (X_b)1 (X_c)4 + (X_0)4 (X_a)2 + (X_0)3 (X_a)2 (X_c)1 + (X_0)3 (X_a)2 (X_c)1 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)1 (X_a)2 (X_c)3 + (X_a)2 (X_c)4 + (X_0)4 (X_a)1 (X_b)1 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_a)1 (X_b)1 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5 + (X_c)6 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 a a 0
0 0 0 a a a
0 0 0 a a b
0 0 0 a a c
0 0 0 a b 0
0 0 0 a b a
0 0 0 a b b
0 0 0 a b c
0 0 0 a c 0
0 0 0 a c a
0 0 0 a c b
0 0 0 a c c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 b a 0
0 0 0 b a a
0 0 0 b a b
0 0 0 b a c
0 0 0 b b 0
0 0 0 b b a
0 0 0 b b b
0 0 0 b b c
0 0 0 b c 0
0 0 0 b c a
0 0 0 b c b
0 0 0 b c c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c
0 0 0 c a 0
0 0 0 c a a
0 0 0 c a b
0 0 0 c a c
0 0 0 c b 0
0 0 0 c b a
0 0 0 c b b
0 0 0 c b c
0 0 0 c c 0
0 0 0 c c a
0 0 0 c c b
0 0 0 c c c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 a 0 a 0
0 0 a 0 a a
0 0 a 0 a b
0 0 a 0 a c
0 0 a 0 b 0
0 0 a 0 b a
0 0 a 0 b b
0 0 a 0 b c
0 0 a 0 c 0
0 0 a 0 c a
0 0 a 0 c b
0 0 a 0 c c
0 0 a a 0 0
0 0 a a 0 a
0 0 a a 0 b
0 0 a a 0 c
0 0 a a a 0
0 0 a a a a
0 0 a a a b
0 0 a a a c
0 0 a a b 0
0 0 a a b a
0 0 a a b b
0 0 a a b c
0 0 a a c 0
0 0 a a c a
0 0 a a c b
0 0 a a c c
0 0 a b 0 0
0 0 a b 0 a
0 0 a b 0 b
0 0 a b 0 c
0 0 a b a 0
0 0 a b a a
0 0 a b a b
0 0 a b a c
0 0 a b b 0
0 0 a b b a
0 0 a b b b
0 0 a b b c
0 0 a b c 0
0 0 a b c a
0 0 a b c b
0 0 a b c c
0 0 a c 0 0
0 0 a c 0 a
0 0 a c 0 b
0 0 a c 0 c
0 0 a c a 0
0 0 a c a a
0 0 a c a b
0 0 a c a c
0 0 a c b 0
0 0 a c b a
0 0 a c b b
0 0 a c b c
0 0 a c c 0
0 0 a c c a
0 0 a c c b
0 0 a c c c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 b 0 a 0
0 0 b 0 a a
0 0 b 0 a b
0 0 b 0 a c
0 0 b 0 b 0
0 0 b 0 b a
0 0 b 0 b b
0 0 b 0 b c
0 0 b 0 c 0
0 0 b 0 c a
0 0 b 0 c b
0 0 b 0 c c
0 0 b a 0 0
0 0 b a 0 a
0 0 b a 0 b
0 0 b a 0 c
0 0 b a a 0
0 0 b a a a
0 0 b a a b
0 0 b a a c
0 0 b a b 0
0 0 b a b a
0 0 b a b b
0 0 b a b c
0 0 b a c 0
0 0 b a c a
0 0 b a c b
0 0 b a c c
0 0 b b 0 0
0 0 b b 0 a
0 0 b b 0 b
0 0 b b 0 c
0 0 b b a 0
0 0 b b a a
0 0 b b a b
0 0 b b a c
0 0 b b b 0
0 0 b b b a
0 0 b b b b
0 0 b b b c
0 0 b b c 0
0 0 b b c a
0 0 b b c b
0 0 b b c c
0 0 b c 0 0
0 0 b c 0 a
0 0 b c 0 b
0 0 b c 0 c
0 0 b c a 0
0 0 b c a a
0 0 b c a b
0 0 b c a c
0 0 b c b 0
0 0 b c b a
0 0 b c b b
0 0 b c b c
0 0 b c c 0
0 0 b c c a
0 0 b c c b
0 0 b c c c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c
0 0 c 0 a 0
0 0 c 0 a a
0 0 c 0 a b
0 0 c 0 a c
0 0 c 0 b 0
0 0 c 0 b a
0 0 c 0 b b
0 0 c 0 b c
0 0 c 0 c 0
0 0 c 0 c a
0 0 c 0 c b
0 0 c 0 c c
0 0 c a 0 0
0 0 c a 0 a
0 0 c a 0 b
0 0 c a 0 c
0 0 c a a 0
0 0 c a a a
0 0 c a a b
0 0 c a a c
0 0 c a b 0
0 0 c a b a
0 0 c a b b
0 0 c a b c
0 0 c a c 0
0 0 c a c a
0 0 c a c b
0 0 c a c c
0 0 c b 0 0
0 0 c b 0 a
0 0 c b 0 b
0 0 c b 0 c
0 0 c b a 0
0 0 c b a a
0 0 c b a b
0 0 c b a c
0 0 c b b 0
0 0 c b b a
0 0 c b b b
0 0 c b b c
0 0 c b c 0
0 0 c b c a
0 0 c b c b
0 0 c b c c
0 0 c c 0 0
0 0 c c 0 a
0 0 c c 0 b
0 0 c c 0 c
0 0 c c a 0
0 0 c c a a
0 0 c c a b
0 0 c c a c
0 0 c c b 0
0 0 c c b a
0 0 c c b b
0 0 c c b c
0 0 c c c 0
0 0 c c c a
0 0 c c c b
0 0 c c c c
Is it a nice code?: No
Generator Matrix-262
a a 0 0 0 0
b b 0 0 0 0
0 c 0 0 0 0
0 0 c 0 0 c
0 0 0 c 0 0
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 0
0 0 0 c c c
0 0 c 0 0 c
0 0 c 0 c 0
0 0 c c 0 c
0 0 c c c 0
0 c 0 0 0 0
0 c 0 0 c c
0 c 0 c 0 0
0 c 0 c c c
0 c c 0 0 c
0 c c 0 c 0
0 c c c 0 c
0 c c c c 0
b b 0 0 0 0
b b 0 0 c c
b b 0 c 0 0
b b 0 c c c
b b c 0 0 c
b b c 0 c 0
b b c c 0 c
b b c c c 0
b a 0 0 0 0
b a 0 0 c c
b a 0 c 0 0
b a 0 c c c
b a c 0 0 c
b a c 0 c 0
b a c c 0 c
b a c c c 0
a a 0 0 0 0
a a 0 0 c c
a a 0 c 0 0
a a 0 c c c
a a c 0 0 c
a a c 0 c 0
a a c c 0 c
a a c c c 0
a b 0 0 0 0
a b 0 0 c c
a b 0 c 0 0
a b 0 c c c
a b c 0 0 c
a b c 0 c 0
a b c c 0 c
a b c c c 0
c c 0 0 0 0
c c 0 0 c c
c c 0 c 0 0
c c 0 c c c
c c c 0 0 c
c c c 0 c 0
c c c c 0 c
c c c c c 0
c 0 0 0 0 0
c 0 0 0 c c
c 0 0 c 0 0
c 0 0 c c c
c 0 c 0 0 c
c 0 c 0 c 0
c 0 c c 0 c
c 0 c c c 0
dmin: 1
Weight Enumerator: 1x0 + 3x1 + 10x2 + 14x3 + 21x4 + 15x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)3 (X_b)2 (X_c)1 + (X_0)1 (X_b)2 (X_c)3 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)1 (X_b)2 (X_c)3 + (X_0)4 (X_a)1 (X_b)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)3 (X_a)2 (X_c)1 + (X_0)1 (X_a)2 (X_c)3 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)1 (X_a)2 (X_c)3 + (X_0)4 (X_a)1 (X_b)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 a a 0
0 0 0 a a a
0 0 0 a a b
0 0 0 a a c
0 0 0 a b 0
0 0 0 a b a
0 0 0 a b b
0 0 0 a b c
0 0 0 a c 0
0 0 0 a c a
0 0 0 a c b
0 0 0 a c c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 b a 0
0 0 0 b a a
0 0 0 b a b
0 0 0 b a c
0 0 0 b b 0
0 0 0 b b a
0 0 0 b b b
0 0 0 b b c
0 0 0 b c 0
0 0 0 b c a
0 0 0 b c b
0 0 0 b c c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c
0 0 0 c a 0
0 0 0 c a a
0 0 0 c a b
0 0 0 c a c
0 0 0 c b 0
0 0 0 c b a
0 0 0 c b b
0 0 0 c b c
0 0 0 c c 0
0 0 0 c c a
0 0 0 c c b
0 0 0 c c c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 a 0 a 0
0 0 a 0 a a
0 0 a 0 a b
0 0 a 0 a c
0 0 a 0 b 0
0 0 a 0 b a
0 0 a 0 b b
0 0 a 0 b c
0 0 a 0 c 0
0 0 a 0 c a
0 0 a 0 c b
0 0 a 0 c c
0 0 a a 0 0
0 0 a a 0 a
0 0 a a 0 b
0 0 a a 0 c
0 0 a a a 0
0 0 a a a a
0 0 a a a b
0 0 a a a c
0 0 a a b 0
0 0 a a b a
0 0 a a b b
0 0 a a b c
0 0 a a c 0
0 0 a a c a
0 0 a a c b
0 0 a a c c
0 0 a b 0 0
0 0 a b 0 a
0 0 a b 0 b
0 0 a b 0 c
0 0 a b a 0
0 0 a b a a
0 0 a b a b
0 0 a b a c
0 0 a b b 0
0 0 a b b a
0 0 a b b b
0 0 a b b c
0 0 a b c 0
0 0 a b c a
0 0 a b c b
0 0 a b c c
0 0 a c 0 0
0 0 a c 0 a
0 0 a c 0 b
0 0 a c 0 c
0 0 a c a 0
0 0 a c a a
0 0 a c a b
0 0 a c a c
0 0 a c b 0
0 0 a c b a
0 0 a c b b
0 0 a c b c
0 0 a c c 0
0 0 a c c a
0 0 a c c b
0 0 a c c c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 b 0 a 0
0 0 b 0 a a
0 0 b 0 a b
0 0 b 0 a c
0 0 b 0 b 0
0 0 b 0 b a
0 0 b 0 b b
0 0 b 0 b c
0 0 b 0 c 0
0 0 b 0 c a
0 0 b 0 c b
0 0 b 0 c c
0 0 b a 0 0
0 0 b a 0 a
0 0 b a 0 b
0 0 b a 0 c
0 0 b a a 0
0 0 b a a a
0 0 b a a b
0 0 b a a c
0 0 b a b 0
0 0 b a b a
0 0 b a b b
0 0 b a b c
0 0 b a c 0
0 0 b a c a
0 0 b a c b
0 0 b a c c
0 0 b b 0 0
0 0 b b 0 a
0 0 b b 0 b
0 0 b b 0 c
0 0 b b a 0
0 0 b b a a
0 0 b b a b
0 0 b b a c
0 0 b b b 0
0 0 b b b a
0 0 b b b b
0 0 b b b c
0 0 b b c 0
0 0 b b c a
0 0 b b c b
0 0 b b c c
0 0 b c 0 0
0 0 b c 0 a
0 0 b c 0 b
0 0 b c 0 c
0 0 b c a 0
0 0 b c a a
0 0 b c a b
0 0 b c a c
0 0 b c b 0
0 0 b c b a
0 0 b c b b
0 0 b c b c
0 0 b c c 0
0 0 b c c a
0 0 b c c b
0 0 b c c c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c
0 0 c 0 a 0
0 0 c 0 a a
0 0 c 0 a b
0 0 c 0 a c
0 0 c 0 b 0
0 0 c 0 b a
0 0 c 0 b b
0 0 c 0 b c
0 0 c 0 c 0
0 0 c 0 c a
0 0 c 0 c b
0 0 c 0 c c
0 0 c a 0 0
0 0 c a 0 a
0 0 c a 0 b
0 0 c a 0 c
0 0 c a a 0
0 0 c a a a
0 0 c a a b
0 0 c a a c
0 0 c a b 0
0 0 c a b a
0 0 c a b b
0 0 c a b c
0 0 c a c 0
0 0 c a c a
0 0 c a c b
0 0 c a c c
0 0 c b 0 0
0 0 c b 0 a
0 0 c b 0 b
0 0 c b 0 c
0 0 c b a 0
0 0 c b a a
0 0 c b a b
0 0 c b a c
0 0 c b b 0
0 0 c b b a
0 0 c b b b
0 0 c b b c
0 0 c b c 0
0 0 c b c a
0 0 c b c b
0 0 c b c c
0 0 c c 0 0
0 0 c c 0 a
0 0 c c 0 b
0 0 c c 0 c
0 0 c c a 0
0 0 c c a a
0 0 c c a b
0 0 c c a c
0 0 c c b 0
0 0 c c b a
0 0 c c b b
0 0 c c b c
0 0 c c c 0
0 0 c c c a
0 0 c c c b
0 0 c c c c
Is it a nice code?: No
Generator Matrix-263
a a 0 0 0 0
b b 0 0 0 0
0 c 0 0 0 0
0 0 c 0 0 c
0 0 0 c 0 c
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 c
0 0 0 c c c
0 0 c 0 0 c
0 0 c 0 c c
0 0 c c 0 0
0 0 c c c 0
0 c 0 0 0 0
0 c 0 0 c 0
0 c 0 c 0 c
0 c 0 c c c
0 c c 0 0 c
0 c c 0 c c
0 c c c 0 0
0 c c c c 0
b b 0 0 0 0
b b 0 0 c 0
b b 0 c 0 c
b b 0 c c c
b b c 0 0 c
b b c 0 c c
b b c c 0 0
b b c c c 0
b a 0 0 0 0
b a 0 0 c 0
b a 0 c 0 c
b a 0 c c c
b a c 0 0 c
b a c 0 c c
b a c c 0 0
b a c c c 0
a a 0 0 0 0
a a 0 0 c 0
a a 0 c 0 c
a a 0 c c c
a a c 0 0 c
a a c 0 c c
a a c c 0 0
a a c c c 0
a b 0 0 0 0
a b 0 0 c 0
a b 0 c 0 c
a b 0 c c c
a b c 0 0 c
a b c 0 c c
a b c c 0 0
a b c c c 0
c c 0 0 0 0
c c 0 0 c 0
c c 0 c 0 c
c c 0 c c c
c c c 0 0 c
c c c 0 c c
c c c c 0 0
c c c c c 0
c 0 0 0 0 0
c 0 0 0 c 0
c 0 0 c 0 c
c 0 0 c c c
c 0 c 0 0 c
c 0 c 0 c c
c 0 c c 0 0
c 0 c c c 0
dmin: 1
Weight Enumerator: 1x0 + 3x1 + 10x2 + 14x3 + 21x4 + 15x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_b)2 + (X_0)3 (X_b)2 (X_c)1 + (X_0)2 (X_b)2 (X_c)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)2 (X_b)2 (X_c)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)2 (X_b)2 (X_c)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)4 (X_a)1 (X_b)1 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_a)2 + (X_0)3 (X_a)2 (X_c)1 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)4 (X_a)1 (X_b)1 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 a a 0
0 0 0 a a a
0 0 0 a a b
0 0 0 a a c
0 0 0 a b 0
0 0 0 a b a
0 0 0 a b b
0 0 0 a b c
0 0 0 a c 0
0 0 0 a c a
0 0 0 a c b
0 0 0 a c c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 b a 0
0 0 0 b a a
0 0 0 b a b
0 0 0 b a c
0 0 0 b b 0
0 0 0 b b a
0 0 0 b b b
0 0 0 b b c
0 0 0 b c 0
0 0 0 b c a
0 0 0 b c b
0 0 0 b c c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c
0 0 0 c a 0
0 0 0 c a a
0 0 0 c a b
0 0 0 c a c
0 0 0 c b 0
0 0 0 c b a
0 0 0 c b b
0 0 0 c b c
0 0 0 c c 0
0 0 0 c c a
0 0 0 c c b
0 0 0 c c c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 a 0 a 0
0 0 a 0 a a
0 0 a 0 a b
0 0 a 0 a c
0 0 a 0 b 0
0 0 a 0 b a
0 0 a 0 b b
0 0 a 0 b c
0 0 a 0 c 0
0 0 a 0 c a
0 0 a 0 c b
0 0 a 0 c c
0 0 a a 0 0
0 0 a a 0 a
0 0 a a 0 b
0 0 a a 0 c
0 0 a a a 0
0 0 a a a a
0 0 a a a b
0 0 a a a c
0 0 a a b 0
0 0 a a b a
0 0 a a b b
0 0 a a b c
0 0 a a c 0
0 0 a a c a
0 0 a a c b
0 0 a a c c
0 0 a b 0 0
0 0 a b 0 a
0 0 a b 0 b
0 0 a b 0 c
0 0 a b a 0
0 0 a b a a
0 0 a b a b
0 0 a b a c
0 0 a b b 0
0 0 a b b a
0 0 a b b b
0 0 a b b c
0 0 a b c 0
0 0 a b c a
0 0 a b c b
0 0 a b c c
0 0 a c 0 0
0 0 a c 0 a
0 0 a c 0 b
0 0 a c 0 c
0 0 a c a 0
0 0 a c a a
0 0 a c a b
0 0 a c a c
0 0 a c b 0
0 0 a c b a
0 0 a c b b
0 0 a c b c
0 0 a c c 0
0 0 a c c a
0 0 a c c b
0 0 a c c c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 b 0 a 0
0 0 b 0 a a
0 0 b 0 a b
0 0 b 0 a c
0 0 b 0 b 0
0 0 b 0 b a
0 0 b 0 b b
0 0 b 0 b c
0 0 b 0 c 0
0 0 b 0 c a
0 0 b 0 c b
0 0 b 0 c c
0 0 b a 0 0
0 0 b a 0 a
0 0 b a 0 b
0 0 b a 0 c
0 0 b a a 0
0 0 b a a a
0 0 b a a b
0 0 b a a c
0 0 b a b 0
0 0 b a b a
0 0 b a b b
0 0 b a b c
0 0 b a c 0
0 0 b a c a
0 0 b a c b
0 0 b a c c
0 0 b b 0 0
0 0 b b 0 a
0 0 b b 0 b
0 0 b b 0 c
0 0 b b a 0
0 0 b b a a
0 0 b b a b
0 0 b b a c
0 0 b b b 0
0 0 b b b a
0 0 b b b b
0 0 b b b c
0 0 b b c 0
0 0 b b c a
0 0 b b c b
0 0 b b c c
0 0 b c 0 0
0 0 b c 0 a
0 0 b c 0 b
0 0 b c 0 c
0 0 b c a 0
0 0 b c a a
0 0 b c a b
0 0 b c a c
0 0 b c b 0
0 0 b c b a
0 0 b c b b
0 0 b c b c
0 0 b c c 0
0 0 b c c a
0 0 b c c b
0 0 b c c c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c
0 0 c 0 a 0
0 0 c 0 a a
0 0 c 0 a b
0 0 c 0 a c
0 0 c 0 b 0
0 0 c 0 b a
0 0 c 0 b b
0 0 c 0 b c
0 0 c 0 c 0
0 0 c 0 c a
0 0 c 0 c b
0 0 c 0 c c
0 0 c a 0 0
0 0 c a 0 a
0 0 c a 0 b
0 0 c a 0 c
0 0 c a a 0
0 0 c a a a
0 0 c a a b
0 0 c a a c
0 0 c a b 0
0 0 c a b a
0 0 c a b b
0 0 c a b c
0 0 c a c 0
0 0 c a c a
0 0 c a c b
0 0 c a c c
0 0 c b 0 0
0 0 c b 0 a
0 0 c b 0 b
0 0 c b 0 c
0 0 c b a 0
0 0 c b a a
0 0 c b a b
0 0 c b a c
0 0 c b b 0
0 0 c b b a
0 0 c b b b
0 0 c b b c
0 0 c b c 0
0 0 c b c a
0 0 c b c b
0 0 c b c c
0 0 c c 0 0
0 0 c c 0 a
0 0 c c 0 b
0 0 c c 0 c
0 0 c c a 0
0 0 c c a a
0 0 c c a b
0 0 c c a c
0 0 c c b 0
0 0 c c b a
0 0 c c b b
0 0 c c b c
0 0 c c c 0
0 0 c c c a
0 0 c c c b
0 0 c c c c
Is it a nice code?: No
Generator Matrix-264
a a 0 0 0 0
b b 0 0 0 0
0 c 0 0 0 0
0 0 c 0 0 c
0 0 0 c 0 c
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 c
0 0 0 c c 0
0 0 c 0 0 c
0 0 c 0 c 0
0 0 c c 0 0
0 0 c c c c
0 c 0 0 0 0
0 c 0 0 c c
0 c 0 c 0 c
0 c 0 c c 0
0 c c 0 0 c
0 c c 0 c 0
0 c c c 0 0
0 c c c c c
b b 0 0 0 0
b b 0 0 c c
b b 0 c 0 c
b b 0 c c 0
b b c 0 0 c
b b c 0 c 0
b b c c 0 0
b b c c c c
b a 0 0 0 0
b a 0 0 c c
b a 0 c 0 c
b a 0 c c 0
b a c 0 0 c
b a c 0 c 0
b a c c 0 0
b a c c c c
a a 0 0 0 0
a a 0 0 c c
a a 0 c 0 c
a a 0 c c 0
a a c 0 0 c
a a c 0 c 0
a a c c 0 0
a a c c c c
a b 0 0 0 0
a b 0 0 c c
a b 0 c 0 c
a b 0 c c 0
a b c 0 0 c
a b c 0 c 0
a b c c 0 0
a b c c c c
c c 0 0 0 0
c c 0 0 c c
c c 0 c 0 c
c c 0 c c 0
c c c 0 0 c
c c c 0 c 0
c c c c 0 0
c c c c c c
c 0 0 0 0 0
c 0 0 0 c c
c 0 0 c 0 c
c 0 0 c c 0
c 0 c 0 0 c
c 0 c 0 c 0
c 0 c c 0 0
c 0 c c c c
dmin: 1
Weight Enumerator: 1x0 + 2x1 + 11x2 + 12x3 + 31x4 + 2x5 + 5x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_b)2 (X_c)2 + (X_b)2 (X_c)4 + (X_0)4 (X_a)1 (X_b)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_a)1 (X_b)1 (X_c)4 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)2 (X_c)2 + (X_a)2 (X_c)4 + (X_0)4 (X_a)1 (X_b)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_a)1 (X_b)1 (X_c)4 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_c)6 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 a a 0
0 0 0 a a a
0 0 0 a a b
0 0 0 a a c
0 0 0 a b 0
0 0 0 a b a
0 0 0 a b b
0 0 0 a b c
0 0 0 a c 0
0 0 0 a c a
0 0 0 a c b
0 0 0 a c c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 b a 0
0 0 0 b a a
0 0 0 b a b
0 0 0 b a c
0 0 0 b b 0
0 0 0 b b a
0 0 0 b b b
0 0 0 b b c
0 0 0 b c 0
0 0 0 b c a
0 0 0 b c b
0 0 0 b c c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c
0 0 0 c a 0
0 0 0 c a a
0 0 0 c a b
0 0 0 c a c
0 0 0 c b 0
0 0 0 c b a
0 0 0 c b b
0 0 0 c b c
0 0 0 c c 0
0 0 0 c c a
0 0 0 c c b
0 0 0 c c c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 a 0 a 0
0 0 a 0 a a
0 0 a 0 a b
0 0 a 0 a c
0 0 a 0 b 0
0 0 a 0 b a
0 0 a 0 b b
0 0 a 0 b c
0 0 a 0 c 0
0 0 a 0 c a
0 0 a 0 c b
0 0 a 0 c c
0 0 a a 0 0
0 0 a a 0 a
0 0 a a 0 b
0 0 a a 0 c
0 0 a a a 0
0 0 a a a a
0 0 a a a b
0 0 a a a c
0 0 a a b 0
0 0 a a b a
0 0 a a b b
0 0 a a b c
0 0 a a c 0
0 0 a a c a
0 0 a a c b
0 0 a a c c
0 0 a b 0 0
0 0 a b 0 a
0 0 a b 0 b
0 0 a b 0 c
0 0 a b a 0
0 0 a b a a
0 0 a b a b
0 0 a b a c
0 0 a b b 0
0 0 a b b a
0 0 a b b b
0 0 a b b c
0 0 a b c 0
0 0 a b c a
0 0 a b c b
0 0 a b c c
0 0 a c 0 0
0 0 a c 0 a
0 0 a c 0 b
0 0 a c 0 c
0 0 a c a 0
0 0 a c a a
0 0 a c a b
0 0 a c a c
0 0 a c b 0
0 0 a c b a
0 0 a c b b
0 0 a c b c
0 0 a c c 0
0 0 a c c a
0 0 a c c b
0 0 a c c c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 b 0 a 0
0 0 b 0 a a
0 0 b 0 a b
0 0 b 0 a c
0 0 b 0 b 0
0 0 b 0 b a
0 0 b 0 b b
0 0 b 0 b c
0 0 b 0 c 0
0 0 b 0 c a
0 0 b 0 c b
0 0 b 0 c c
0 0 b a 0 0
0 0 b a 0 a
0 0 b a 0 b
0 0 b a 0 c
0 0 b a a 0
0 0 b a a a
0 0 b a a b
0 0 b a a c
0 0 b a b 0
0 0 b a b a
0 0 b a b b
0 0 b a b c
0 0 b a c 0
0 0 b a c a
0 0 b a c b
0 0 b a c c
0 0 b b 0 0
0 0 b b 0 a
0 0 b b 0 b
0 0 b b 0 c
0 0 b b a 0
0 0 b b a a
0 0 b b a b
0 0 b b a c
0 0 b b b 0
0 0 b b b a
0 0 b b b b
0 0 b b b c
0 0 b b c 0
0 0 b b c a
0 0 b b c b
0 0 b b c c
0 0 b c 0 0
0 0 b c 0 a
0 0 b c 0 b
0 0 b c 0 c
0 0 b c a 0
0 0 b c a a
0 0 b c a b
0 0 b c a c
0 0 b c b 0
0 0 b c b a
0 0 b c b b
0 0 b c b c
0 0 b c c 0
0 0 b c c a
0 0 b c c b
0 0 b c c c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c
0 0 c 0 a 0
0 0 c 0 a a
0 0 c 0 a b
0 0 c 0 a c
0 0 c 0 b 0
0 0 c 0 b a
0 0 c 0 b b
0 0 c 0 b c
0 0 c 0 c 0
0 0 c 0 c a
0 0 c 0 c b
0 0 c 0 c c
0 0 c a 0 0
0 0 c a 0 a
0 0 c a 0 b
0 0 c a 0 c
0 0 c a a 0
0 0 c a a a
0 0 c a a b
0 0 c a a c
0 0 c a b 0
0 0 c a b a
0 0 c a b b
0 0 c a b c
0 0 c a c 0
0 0 c a c a
0 0 c a c b
0 0 c a c c
0 0 c b 0 0
0 0 c b 0 a
0 0 c b 0 b
0 0 c b 0 c
0 0 c b a 0
0 0 c b a a
0 0 c b a b
0 0 c b a c
0 0 c b b 0
0 0 c b b a
0 0 c b b b
0 0 c b b c
0 0 c b c 0
0 0 c b c a
0 0 c b c b
0 0 c b c c
0 0 c c 0 0
0 0 c c 0 a
0 0 c c 0 b
0 0 c c 0 c
0 0 c c a 0
0 0 c c a a
0 0 c c a b
0 0 c c a c
0 0 c c b 0
0 0 c c b a
0 0 c c b b
0 0 c c b c
0 0 c c c 0
0 0 c c c a
0 0 c c c b
0 0 c c c c
Is it a nice code?: No
Generator Matrix-265
a a 0 0 0 0
b b 0 0 0 0
0 c 0 0 0 c
0 0 c 0 0 0
0 0 0 c 0 0
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 0
0 0 0 c c 0
0 0 c 0 0 0
0 0 c 0 c 0
0 0 c c 0 0
0 0 c c c 0
0 c 0 0 0 c
0 c 0 0 c c
0 c 0 c 0 c
0 c 0 c c c
0 c c 0 0 c
0 c c 0 c c
0 c c c 0 c
0 c c c c c
b b 0 0 0 0
b b 0 0 c 0
b b 0 c 0 0
b b 0 c c 0
b b c 0 0 0
b b c 0 c 0
b b c c 0 0
b b c c c 0
b a 0 0 0 c
b a 0 0 c c
b a 0 c 0 c
b a 0 c c c
b a c 0 0 c
b a c 0 c c
b a c c 0 c
b a c c c c
a a 0 0 0 0
a a 0 0 c 0
a a 0 c 0 0
a a 0 c c 0
a a c 0 0 0
a a c 0 c 0
a a c c 0 0
a a c c c 0
a b 0 0 0 c
a b 0 0 c c
a b 0 c 0 c
a b 0 c c c
a b c 0 0 c
a b c 0 c c
a b c c 0 c
a b c c c c
c c 0 0 0 0
c c 0 0 c 0
c c 0 c 0 0
c c 0 c c 0
c c c 0 0 0
c c c 0 c 0
c c c c 0 0
c c c c c 0
c 0 0 0 0 c
c 0 0 0 c c
c 0 0 c 0 c
c 0 0 c c c
c 0 c 0 0 c
c 0 c 0 c c
c 0 c c 0 c
c 0 c c c c
dmin: 1
Weight Enumerator: 1x0 + 3x1 + 8x2 + 18x3 + 21x4 + 11x5 + 2x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)4 (X_b)2 + (X_0)3 (X_b)2 (X_c)1 + (X_0)3 (X_b)2 (X_c)1 + (X_0)2 (X_b)2 (X_c)2 + (X_0)3 (X_b)2 (X_c)1 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_a)1 (X_b)1 (X_c)4 + (X_0)4 (X_a)2 + (X_0)3 (X_a)2 (X_c)1 + (X_0)3 (X_a)2 (X_c)1 + (X_0)2 (X_a)2 (X_c)2 + (X_0)3 (X_a)2 (X_c)1 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_a)1 (X_b)1 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 a a 0
0 0 0 a a a
0 0 0 a a b
0 0 0 a a c
0 0 0 a b 0
0 0 0 a b a
0 0 0 a b b
0 0 0 a b c
0 0 0 a c 0
0 0 0 a c a
0 0 0 a c b
0 0 0 a c c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 b a 0
0 0 0 b a a
0 0 0 b a b
0 0 0 b a c
0 0 0 b b 0
0 0 0 b b a
0 0 0 b b b
0 0 0 b b c
0 0 0 b c 0
0 0 0 b c a
0 0 0 b c b
0 0 0 b c c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c
0 0 0 c a 0
0 0 0 c a a
0 0 0 c a b
0 0 0 c a c
0 0 0 c b 0
0 0 0 c b a
0 0 0 c b b
0 0 0 c b c
0 0 0 c c 0
0 0 0 c c a
0 0 0 c c b
0 0 0 c c c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 a 0 a 0
0 0 a 0 a a
0 0 a 0 a b
0 0 a 0 a c
0 0 a 0 b 0
0 0 a 0 b a
0 0 a 0 b b
0 0 a 0 b c
0 0 a 0 c 0
0 0 a 0 c a
0 0 a 0 c b
0 0 a 0 c c
0 0 a a 0 0
0 0 a a 0 a
0 0 a a 0 b
0 0 a a 0 c
0 0 a a a 0
0 0 a a a a
0 0 a a a b
0 0 a a a c
0 0 a a b 0
0 0 a a b a
0 0 a a b b
0 0 a a b c
0 0 a a c 0
0 0 a a c a
0 0 a a c b
0 0 a a c c
0 0 a b 0 0
0 0 a b 0 a
0 0 a b 0 b
0 0 a b 0 c
0 0 a b a 0
0 0 a b a a
0 0 a b a b
0 0 a b a c
0 0 a b b 0
0 0 a b b a
0 0 a b b b
0 0 a b b c
0 0 a b c 0
0 0 a b c a
0 0 a b c b
0 0 a b c c
0 0 a c 0 0
0 0 a c 0 a
0 0 a c 0 b
0 0 a c 0 c
0 0 a c a 0
0 0 a c a a
0 0 a c a b
0 0 a c a c
0 0 a c b 0
0 0 a c b a
0 0 a c b b
0 0 a c b c
0 0 a c c 0
0 0 a c c a
0 0 a c c b
0 0 a c c c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 b 0 a 0
0 0 b 0 a a
0 0 b 0 a b
0 0 b 0 a c
0 0 b 0 b 0
0 0 b 0 b a
0 0 b 0 b b
0 0 b 0 b c
0 0 b 0 c 0
0 0 b 0 c a
0 0 b 0 c b
0 0 b 0 c c
0 0 b a 0 0
0 0 b a 0 a
0 0 b a 0 b
0 0 b a 0 c
0 0 b a a 0
0 0 b a a a
0 0 b a a b
0 0 b a a c
0 0 b a b 0
0 0 b a b a
0 0 b a b b
0 0 b a b c
0 0 b a c 0
0 0 b a c a
0 0 b a c b
0 0 b a c c
0 0 b b 0 0
0 0 b b 0 a
0 0 b b 0 b
0 0 b b 0 c
0 0 b b a 0
0 0 b b a a
0 0 b b a b
0 0 b b a c
0 0 b b b 0
0 0 b b b a
0 0 b b b b
0 0 b b b c
0 0 b b c 0
0 0 b b c a
0 0 b b c b
0 0 b b c c
0 0 b c 0 0
0 0 b c 0 a
0 0 b c 0 b
0 0 b c 0 c
0 0 b c a 0
0 0 b c a a
0 0 b c a b
0 0 b c a c
0 0 b c b 0
0 0 b c b a
0 0 b c b b
0 0 b c b c
0 0 b c c 0
0 0 b c c a
0 0 b c c b
0 0 b c c c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c
0 0 c 0 a 0
0 0 c 0 a a
0 0 c 0 a b
0 0 c 0 a c
0 0 c 0 b 0
0 0 c 0 b a
0 0 c 0 b b
0 0 c 0 b c
0 0 c 0 c 0
0 0 c 0 c a
0 0 c 0 c b
0 0 c 0 c c
0 0 c a 0 0
0 0 c a 0 a
0 0 c a 0 b
0 0 c a 0 c
0 0 c a a 0
0 0 c a a a
0 0 c a a b
0 0 c a a c
0 0 c a b 0
0 0 c a b a
0 0 c a b b
0 0 c a b c
0 0 c a c 0
0 0 c a c a
0 0 c a c b
0 0 c a c c
0 0 c b 0 0
0 0 c b 0 a
0 0 c b 0 b
0 0 c b 0 c
0 0 c b a 0
0 0 c b a a
0 0 c b a b
0 0 c b a c
0 0 c b b 0
0 0 c b b a
0 0 c b b b
0 0 c b b c
0 0 c b c 0
0 0 c b c a
0 0 c b c b
0 0 c b c c
0 0 c c 0 0
0 0 c c 0 a
0 0 c c 0 b
0 0 c c 0 c
0 0 c c a 0
0 0 c c a a
0 0 c c a b
0 0 c c a c
0 0 c c b 0
0 0 c c b a
0 0 c c b b
0 0 c c b c
0 0 c c c 0
0 0 c c c a
0 0 c c c b
0 0 c c c c
Is it a nice code?: No
Generator Matrix-266
a a 0 0 0 0
b b 0 0 0 0
0 c 0 0 0 c
0 0 c 0 0 0
0 0 0 c 0 0
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 0
0 0 0 c c c
0 0 c 0 0 0
0 0 c 0 c c
0 0 c c 0 0
0 0 c c c c
0 c 0 0 0 c
0 c 0 0 c 0
0 c 0 c 0 c
0 c 0 c c 0
0 c c 0 0 c
0 c c 0 c 0
0 c c c 0 c
0 c c c c 0
b b 0 0 0 0
b b 0 0 c c
b b 0 c 0 0
b b 0 c c c
b b c 0 0 0
b b c 0 c c
b b c c 0 0
b b c c c c
b a 0 0 0 c
b a 0 0 c 0
b a 0 c 0 c
b a 0 c c 0
b a c 0 0 c
b a c 0 c 0
b a c c 0 c
b a c c c 0
a a 0 0 0 0
a a 0 0 c c
a a 0 c 0 0
a a 0 c c c
a a c 0 0 0
a a c 0 c c
a a c c 0 0
a a c c c c
a b 0 0 0 c
a b 0 0 c 0
a b 0 c 0 c
a b 0 c c 0
a b c 0 0 c
a b c 0 c 0
a b c c 0 c
a b c c c 0
c c 0 0 0 0
c c 0 0 c c
c c 0 c 0 0
c c 0 c c c
c c c 0 0 0
c c c 0 c c
c c c c 0 0
c c c c c c
c 0 0 0 0 c
c 0 0 0 c 0
c 0 0 c 0 c
c 0 0 c c 0
c 0 c 0 0 c
c 0 c 0 c 0
c 0 c c 0 c
c 0 c c c 0
dmin: 1
Weight Enumerator: 1x0 + 2x1 + 9x2 + 20x3 + 19x4 + 10x5 + 3x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)3 (X_b)2 (X_c)1 + (X_0)1 (X_b)2 (X_c)3 + (X_0)3 (X_b)2 (X_c)1 + (X_0)1 (X_b)2 (X_c)3 + (X_0)2 (X_b)2 (X_c)2 + (X_b)2 (X_c)4 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)3 (X_a)2 (X_c)1 + (X_0)1 (X_a)2 (X_c)3 + (X_0)3 (X_a)2 (X_c)1 + (X_0)1 (X_a)2 (X_c)3 + (X_0)2 (X_a)2 (X_c)2 + (X_a)2 (X_c)4 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_c)6 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 a a 0
0 0 0 a a a
0 0 0 a a b
0 0 0 a a c
0 0 0 a b 0
0 0 0 a b a
0 0 0 a b b
0 0 0 a b c
0 0 0 a c 0
0 0 0 a c a
0 0 0 a c b
0 0 0 a c c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 b a 0
0 0 0 b a a
0 0 0 b a b
0 0 0 b a c
0 0 0 b b 0
0 0 0 b b a
0 0 0 b b b
0 0 0 b b c
0 0 0 b c 0
0 0 0 b c a
0 0 0 b c b
0 0 0 b c c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c
0 0 0 c a 0
0 0 0 c a a
0 0 0 c a b
0 0 0 c a c
0 0 0 c b 0
0 0 0 c b a
0 0 0 c b b
0 0 0 c b c
0 0 0 c c 0
0 0 0 c c a
0 0 0 c c b
0 0 0 c c c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 a 0 a 0
0 0 a 0 a a
0 0 a 0 a b
0 0 a 0 a c
0 0 a 0 b 0
0 0 a 0 b a
0 0 a 0 b b
0 0 a 0 b c
0 0 a 0 c 0
0 0 a 0 c a
0 0 a 0 c b
0 0 a 0 c c
0 0 a a 0 0
0 0 a a 0 a
0 0 a a 0 b
0 0 a a 0 c
0 0 a a a 0
0 0 a a a a
0 0 a a a b
0 0 a a a c
0 0 a a b 0
0 0 a a b a
0 0 a a b b
0 0 a a b c
0 0 a a c 0
0 0 a a c a
0 0 a a c b
0 0 a a c c
0 0 a b 0 0
0 0 a b 0 a
0 0 a b 0 b
0 0 a b 0 c
0 0 a b a 0
0 0 a b a a
0 0 a b a b
0 0 a b a c
0 0 a b b 0
0 0 a b b a
0 0 a b b b
0 0 a b b c
0 0 a b c 0
0 0 a b c a
0 0 a b c b
0 0 a b c c
0 0 a c 0 0
0 0 a c 0 a
0 0 a c 0 b
0 0 a c 0 c
0 0 a c a 0
0 0 a c a a
0 0 a c a b
0 0 a c a c
0 0 a c b 0
0 0 a c b a
0 0 a c b b
0 0 a c b c
0 0 a c c 0
0 0 a c c a
0 0 a c c b
0 0 a c c c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 b 0 a 0
0 0 b 0 a a
0 0 b 0 a b
0 0 b 0 a c
0 0 b 0 b 0
0 0 b 0 b a
0 0 b 0 b b
0 0 b 0 b c
0 0 b 0 c 0
0 0 b 0 c a
0 0 b 0 c b
0 0 b 0 c c
0 0 b a 0 0
0 0 b a 0 a
0 0 b a 0 b
0 0 b a 0 c
0 0 b a a 0
0 0 b a a a
0 0 b a a b
0 0 b a a c
0 0 b a b 0
0 0 b a b a
0 0 b a b b
0 0 b a b c
0 0 b a c 0
0 0 b a c a
0 0 b a c b
0 0 b a c c
0 0 b b 0 0
0 0 b b 0 a
0 0 b b 0 b
0 0 b b 0 c
0 0 b b a 0
0 0 b b a a
0 0 b b a b
0 0 b b a c
0 0 b b b 0
0 0 b b b a
0 0 b b b b
0 0 b b b c
0 0 b b c 0
0 0 b b c a
0 0 b b c b
0 0 b b c c
0 0 b c 0 0
0 0 b c 0 a
0 0 b c 0 b
0 0 b c 0 c
0 0 b c a 0
0 0 b c a a
0 0 b c a b
0 0 b c a c
0 0 b c b 0
0 0 b c b a
0 0 b c b b
0 0 b c b c
0 0 b c c 0
0 0 b c c a
0 0 b c c b
0 0 b c c c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c
0 0 c 0 a 0
0 0 c 0 a a
0 0 c 0 a b
0 0 c 0 a c
0 0 c 0 b 0
0 0 c 0 b a
0 0 c 0 b b
0 0 c 0 b c
0 0 c 0 c 0
0 0 c 0 c a
0 0 c 0 c b
0 0 c 0 c c
0 0 c a 0 0
0 0 c a 0 a
0 0 c a 0 b
0 0 c a 0 c
0 0 c a a 0
0 0 c a a a
0 0 c a a b
0 0 c a a c
0 0 c a b 0
0 0 c a b a
0 0 c a b b
0 0 c a b c
0 0 c a c 0
0 0 c a c a
0 0 c a c b
0 0 c a c c
0 0 c b 0 0
0 0 c b 0 a
0 0 c b 0 b
0 0 c b 0 c
0 0 c b a 0
0 0 c b a a
0 0 c b a b
0 0 c b a c
0 0 c b b 0
0 0 c b b a
0 0 c b b b
0 0 c b b c
0 0 c b c 0
0 0 c b c a
0 0 c b c b
0 0 c b c c
0 0 c c 0 0
0 0 c c 0 a
0 0 c c 0 b
0 0 c c 0 c
0 0 c c a 0
0 0 c c a a
0 0 c c a b
0 0 c c a c
0 0 c c b 0
0 0 c c b a
0 0 c c b b
0 0 c c b c
0 0 c c c 0
0 0 c c c a
0 0 c c c b
0 0 c c c c
Is it a nice code?: No
Generator Matrix-267
a a 0 0 0 0
b b 0 0 0 0
0 c 0 0 0 c
0 0 c 0 0 0
0 0 0 c 0 c
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 c
0 0 0 c c c
0 0 c 0 0 0
0 0 c 0 c 0
0 0 c c 0 c
0 0 c c c c
0 c 0 0 0 c
0 c 0 0 c c
0 c 0 c 0 0
0 c 0 c c 0
0 c c 0 0 c
0 c c 0 c c
0 c c c 0 0
0 c c c c 0
b b 0 0 0 0
b b 0 0 c 0
b b 0 c 0 c
b b 0 c c c
b b c 0 0 0
b b c 0 c 0
b b c c 0 c
b b c c c c
b a 0 0 0 c
b a 0 0 c c
b a 0 c 0 0
b a 0 c c 0
b a c 0 0 c
b a c 0 c c
b a c c 0 0
b a c c c 0
a a 0 0 0 0
a a 0 0 c 0
a a 0 c 0 c
a a 0 c c c
a a c 0 0 0
a a c 0 c 0
a a c c 0 c
a a c c c c
a b 0 0 0 c
a b 0 0 c c
a b 0 c 0 0
a b 0 c c 0
a b c 0 0 c
a b c 0 c c
a b c c 0 0
a b c c c 0
c c 0 0 0 0
c c 0 0 c 0
c c 0 c 0 c
c c 0 c c c
c c c 0 0 0
c c c 0 c 0
c c c c 0 c
c c c c c c
c 0 0 0 0 c
c 0 0 0 c c
c 0 0 c 0 0
c 0 0 c c 0
c 0 c 0 0 c
c 0 c 0 c c
c 0 c c 0 0
c 0 c c c 0
dmin: 1
Weight Enumerator: 1x0 + 2x1 + 9x2 + 20x3 + 19x4 + 10x5 + 3x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_b)2 + (X_0)3 (X_b)2 (X_c)1 + (X_0)2 (X_b)2 (X_c)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)3 (X_b)2 (X_c)1 + (X_0)2 (X_b)2 (X_c)2 + (X_0)1 (X_b)2 (X_c)3 + (X_b)2 (X_c)4 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_a)2 + (X_0)3 (X_a)2 (X_c)1 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)3 (X_a)2 (X_c)1 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)2 (X_c)3 + (X_a)2 (X_c)4 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_c)6 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 a a 0
0 0 0 a a a
0 0 0 a a b
0 0 0 a a c
0 0 0 a b 0
0 0 0 a b a
0 0 0 a b b
0 0 0 a b c
0 0 0 a c 0
0 0 0 a c a
0 0 0 a c b
0 0 0 a c c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 b a 0
0 0 0 b a a
0 0 0 b a b
0 0 0 b a c
0 0 0 b b 0
0 0 0 b b a
0 0 0 b b b
0 0 0 b b c
0 0 0 b c 0
0 0 0 b c a
0 0 0 b c b
0 0 0 b c c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c
0 0 0 c a 0
0 0 0 c a a
0 0 0 c a b
0 0 0 c a c
0 0 0 c b 0
0 0 0 c b a
0 0 0 c b b
0 0 0 c b c
0 0 0 c c 0
0 0 0 c c a
0 0 0 c c b
0 0 0 c c c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 a 0 a 0
0 0 a 0 a a
0 0 a 0 a b
0 0 a 0 a c
0 0 a 0 b 0
0 0 a 0 b a
0 0 a 0 b b
0 0 a 0 b c
0 0 a 0 c 0
0 0 a 0 c a
0 0 a 0 c b
0 0 a 0 c c
0 0 a a 0 0
0 0 a a 0 a
0 0 a a 0 b
0 0 a a 0 c
0 0 a a a 0
0 0 a a a a
0 0 a a a b
0 0 a a a c
0 0 a a b 0
0 0 a a b a
0 0 a a b b
0 0 a a b c
0 0 a a c 0
0 0 a a c a
0 0 a a c b
0 0 a a c c
0 0 a b 0 0
0 0 a b 0 a
0 0 a b 0 b
0 0 a b 0 c
0 0 a b a 0
0 0 a b a a
0 0 a b a b
0 0 a b a c
0 0 a b b 0
0 0 a b b a
0 0 a b b b
0 0 a b b c
0 0 a b c 0
0 0 a b c a
0 0 a b c b
0 0 a b c c
0 0 a c 0 0
0 0 a c 0 a
0 0 a c 0 b
0 0 a c 0 c
0 0 a c a 0
0 0 a c a a
0 0 a c a b
0 0 a c a c
0 0 a c b 0
0 0 a c b a
0 0 a c b b
0 0 a c b c
0 0 a c c 0
0 0 a c c a
0 0 a c c b
0 0 a c c c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 b 0 a 0
0 0 b 0 a a
0 0 b 0 a b
0 0 b 0 a c
0 0 b 0 b 0
0 0 b 0 b a
0 0 b 0 b b
0 0 b 0 b c
0 0 b 0 c 0
0 0 b 0 c a
0 0 b 0 c b
0 0 b 0 c c
0 0 b a 0 0
0 0 b a 0 a
0 0 b a 0 b
0 0 b a 0 c
0 0 b a a 0
0 0 b a a a
0 0 b a a b
0 0 b a a c
0 0 b a b 0
0 0 b a b a
0 0 b a b b
0 0 b a b c
0 0 b a c 0
0 0 b a c a
0 0 b a c b
0 0 b a c c
0 0 b b 0 0
0 0 b b 0 a
0 0 b b 0 b
0 0 b b 0 c
0 0 b b a 0
0 0 b b a a
0 0 b b a b
0 0 b b a c
0 0 b b b 0
0 0 b b b a
0 0 b b b b
0 0 b b b c
0 0 b b c 0
0 0 b b c a
0 0 b b c b
0 0 b b c c
0 0 b c 0 0
0 0 b c 0 a
0 0 b c 0 b
0 0 b c 0 c
0 0 b c a 0
0 0 b c a a
0 0 b c a b
0 0 b c a c
0 0 b c b 0
0 0 b c b a
0 0 b c b b
0 0 b c b c
0 0 b c c 0
0 0 b c c a
0 0 b c c b
0 0 b c c c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c
0 0 c 0 a 0
0 0 c 0 a a
0 0 c 0 a b
0 0 c 0 a c
0 0 c 0 b 0
0 0 c 0 b a
0 0 c 0 b b
0 0 c 0 b c
0 0 c 0 c 0
0 0 c 0 c a
0 0 c 0 c b
0 0 c 0 c c
0 0 c a 0 0
0 0 c a 0 a
0 0 c a 0 b
0 0 c a 0 c
0 0 c a a 0
0 0 c a a a
0 0 c a a b
0 0 c a a c
0 0 c a b 0
0 0 c a b a
0 0 c a b b
0 0 c a b c
0 0 c a c 0
0 0 c a c a
0 0 c a c b
0 0 c a c c
0 0 c b 0 0
0 0 c b 0 a
0 0 c b 0 b
0 0 c b 0 c
0 0 c b a 0
0 0 c b a a
0 0 c b a b
0 0 c b a c
0 0 c b b 0
0 0 c b b a
0 0 c b b b
0 0 c b b c
0 0 c b c 0
0 0 c b c a
0 0 c b c b
0 0 c b c c
0 0 c c 0 0
0 0 c c 0 a
0 0 c c 0 b
0 0 c c 0 c
0 0 c c a 0
0 0 c c a a
0 0 c c a b
0 0 c c a c
0 0 c c b 0
0 0 c c b a
0 0 c c b b
0 0 c c b c
0 0 c c c 0
0 0 c c c a
0 0 c c c b
0 0 c c c c
Is it a nice code?: No
Generator Matrix-268
a a 0 0 0 0
b b 0 0 0 0
0 c 0 0 0 c
0 0 c 0 0 0
0 0 0 c 0 c
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 c
0 0 0 c c 0
0 0 c 0 0 0
0 0 c 0 c c
0 0 c c 0 c
0 0 c c c 0
0 c 0 0 0 c
0 c 0 0 c 0
0 c 0 c 0 0
0 c 0 c c c
0 c c 0 0 c
0 c c 0 c 0
0 c c c 0 0
0 c c c c c
b b 0 0 0 0
b b 0 0 c c
b b 0 c 0 c
b b 0 c c 0
b b c 0 0 0
b b c 0 c c
b b c c 0 c
b b c c c 0
b a 0 0 0 c
b a 0 0 c 0
b a 0 c 0 0
b a 0 c c c
b a c 0 0 c
b a c 0 c 0
b a c c 0 0
b a c c c c
a a 0 0 0 0
a a 0 0 c c
a a 0 c 0 c
a a 0 c c 0
a a c 0 0 0
a a c 0 c c
a a c c 0 c
a a c c c 0
a b 0 0 0 c
a b 0 0 c 0
a b 0 c 0 0
a b 0 c c c
a b c 0 0 c
a b c 0 c 0
a b c c 0 0
a b c c c c
c c 0 0 0 0
c c 0 0 c c
c c 0 c 0 c
c c 0 c c 0
c c c 0 0 0
c c c 0 c c
c c c c 0 c
c c c c c 0
c 0 0 0 0 c
c 0 0 0 c 0
c 0 0 c 0 0
c 0 0 c c c
c 0 c 0 0 c
c 0 c 0 c 0
c 0 c c 0 0
c 0 c c c c
dmin: 1
Weight Enumerator: 1x0 + 1x1 + 12x2 + 18x3 + 17x4 + 13x5 + 2x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)3 (X_b)2 (X_c)1 + (X_0)1 (X_b)2 (X_c)3 + (X_0)1 (X_b)2 (X_c)3 + (X_0)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_a)1 (X_b)1 (X_c)4 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)3 (X_a)2 (X_c)1 + (X_0)1 (X_a)2 (X_c)3 + (X_0)1 (X_a)2 (X_c)3 + (X_0)1 (X_a)2 (X_c)3 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_a)1 (X_b)1 (X_c)4 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 a a 0
0 0 0 a a a
0 0 0 a a b
0 0 0 a a c
0 0 0 a b 0
0 0 0 a b a
0 0 0 a b b
0 0 0 a b c
0 0 0 a c 0
0 0 0 a c a
0 0 0 a c b
0 0 0 a c c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 b a 0
0 0 0 b a a
0 0 0 b a b
0 0 0 b a c
0 0 0 b b 0
0 0 0 b b a
0 0 0 b b b
0 0 0 b b c
0 0 0 b c 0
0 0 0 b c a
0 0 0 b c b
0 0 0 b c c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c
0 0 0 c a 0
0 0 0 c a a
0 0 0 c a b
0 0 0 c a c
0 0 0 c b 0
0 0 0 c b a
0 0 0 c b b
0 0 0 c b c
0 0 0 c c 0
0 0 0 c c a
0 0 0 c c b
0 0 0 c c c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 a 0 a 0
0 0 a 0 a a
0 0 a 0 a b
0 0 a 0 a c
0 0 a 0 b 0
0 0 a 0 b a
0 0 a 0 b b
0 0 a 0 b c
0 0 a 0 c 0
0 0 a 0 c a
0 0 a 0 c b
0 0 a 0 c c
0 0 a a 0 0
0 0 a a 0 a
0 0 a a 0 b
0 0 a a 0 c
0 0 a a a 0
0 0 a a a a
0 0 a a a b
0 0 a a a c
0 0 a a b 0
0 0 a a b a
0 0 a a b b
0 0 a a b c
0 0 a a c 0
0 0 a a c a
0 0 a a c b
0 0 a a c c
0 0 a b 0 0
0 0 a b 0 a
0 0 a b 0 b
0 0 a b 0 c
0 0 a b a 0
0 0 a b a a
0 0 a b a b
0 0 a b a c
0 0 a b b 0
0 0 a b b a
0 0 a b b b
0 0 a b b c
0 0 a b c 0
0 0 a b c a
0 0 a b c b
0 0 a b c c
0 0 a c 0 0
0 0 a c 0 a
0 0 a c 0 b
0 0 a c 0 c
0 0 a c a 0
0 0 a c a a
0 0 a c a b
0 0 a c a c
0 0 a c b 0
0 0 a c b a
0 0 a c b b
0 0 a c b c
0 0 a c c 0
0 0 a c c a
0 0 a c c b
0 0 a c c c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 b 0 a 0
0 0 b 0 a a
0 0 b 0 a b
0 0 b 0 a c
0 0 b 0 b 0
0 0 b 0 b a
0 0 b 0 b b
0 0 b 0 b c
0 0 b 0 c 0
0 0 b 0 c a
0 0 b 0 c b
0 0 b 0 c c
0 0 b a 0 0
0 0 b a 0 a
0 0 b a 0 b
0 0 b a 0 c
0 0 b a a 0
0 0 b a a a
0 0 b a a b
0 0 b a a c
0 0 b a b 0
0 0 b a b a
0 0 b a b b
0 0 b a b c
0 0 b a c 0
0 0 b a c a
0 0 b a c b
0 0 b a c c
0 0 b b 0 0
0 0 b b 0 a
0 0 b b 0 b
0 0 b b 0 c
0 0 b b a 0
0 0 b b a a
0 0 b b a b
0 0 b b a c
0 0 b b b 0
0 0 b b b a
0 0 b b b b
0 0 b b b c
0 0 b b c 0
0 0 b b c a
0 0 b b c b
0 0 b b c c
0 0 b c 0 0
0 0 b c 0 a
0 0 b c 0 b
0 0 b c 0 c
0 0 b c a 0
0 0 b c a a
0 0 b c a b
0 0 b c a c
0 0 b c b 0
0 0 b c b a
0 0 b c b b
0 0 b c b c
0 0 b c c 0
0 0 b c c a
0 0 b c c b
0 0 b c c c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c
0 0 c 0 a 0
0 0 c 0 a a
0 0 c 0 a b
0 0 c 0 a c
0 0 c 0 b 0
0 0 c 0 b a
0 0 c 0 b b
0 0 c 0 b c
0 0 c 0 c 0
0 0 c 0 c a
0 0 c 0 c b
0 0 c 0 c c
0 0 c a 0 0
0 0 c a 0 a
0 0 c a 0 b
0 0 c a 0 c
0 0 c a a 0
0 0 c a a a
0 0 c a a b
0 0 c a a c
0 0 c a b 0
0 0 c a b a
0 0 c a b b
0 0 c a b c
0 0 c a c 0
0 0 c a c a
0 0 c a c b
0 0 c a c c
0 0 c b 0 0
0 0 c b 0 a
0 0 c b 0 b
0 0 c b 0 c
0 0 c b a 0
0 0 c b a a
0 0 c b a b
0 0 c b a c
0 0 c b b 0
0 0 c b b a
0 0 c b b b
0 0 c b b c
0 0 c b c 0
0 0 c b c a
0 0 c b c b
0 0 c b c c
0 0 c c 0 0
0 0 c c 0 a
0 0 c c 0 b
0 0 c c 0 c
0 0 c c a 0
0 0 c c a a
0 0 c c a b
0 0 c c a c
0 0 c c b 0
0 0 c c b a
0 0 c c b b
0 0 c c b c
0 0 c c c 0
0 0 c c c a
0 0 c c c b
0 0 c c c c
Is it a nice code?: No
Generator Matrix-269
a a 0 0 0 0
b b 0 0 0 0
0 c 0 0 0 c
0 0 c 0 0 c
0 0 0 c 0 0
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 0
0 0 0 c c 0
0 0 c 0 0 c
0 0 c 0 c c
0 0 c c 0 c
0 0 c c c c
0 c 0 0 0 c
0 c 0 0 c c
0 c 0 c 0 c
0 c 0 c c c
0 c c 0 0 0
0 c c 0 c 0
0 c c c 0 0
0 c c c c 0
b b 0 0 0 0
b b 0 0 c 0
b b 0 c 0 0
b b 0 c c 0
b b c 0 0 c
b b c 0 c c
b b c c 0 c
b b c c c c
b a 0 0 0 c
b a 0 0 c c
b a 0 c 0 c
b a 0 c c c
b a c 0 0 0
b a c 0 c 0
b a c c 0 0
b a c c c 0
a a 0 0 0 0
a a 0 0 c 0
a a 0 c 0 0
a a 0 c c 0
a a c 0 0 c
a a c 0 c c
a a c c 0 c
a a c c c c
a b 0 0 0 c
a b 0 0 c c
a b 0 c 0 c
a b 0 c c c
a b c 0 0 0
a b c 0 c 0
a b c c 0 0
a b c c c 0
c c 0 0 0 0
c c 0 0 c 0
c c 0 c 0 0
c c 0 c c 0
c c c 0 0 c
c c c 0 c c
c c c c 0 c
c c c c c c
c 0 0 0 0 c
c 0 0 0 c c
c 0 0 c 0 c
c 0 0 c c c
c 0 c 0 0 0
c 0 c 0 c 0
c 0 c c 0 0
c 0 c c c 0
dmin: 1
Weight Enumerator: 1x0 + 2x1 + 9x2 + 20x3 + 19x4 + 10x5 + 3x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_b)2 + (X_0)3 (X_b)2 (X_c)1 + (X_0)3 (X_b)2 (X_c)1 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)1 (X_b)2 (X_c)3 + (X_b)2 (X_c)4 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_a)2 + (X_0)3 (X_a)2 (X_c)1 + (X_0)3 (X_a)2 (X_c)1 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)1 (X_a)2 (X_c)3 + (X_a)2 (X_c)4 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5 + (X_c)6 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 a a 0
0 0 0 a a a
0 0 0 a a b
0 0 0 a a c
0 0 0 a b 0
0 0 0 a b a
0 0 0 a b b
0 0 0 a b c
0 0 0 a c 0
0 0 0 a c a
0 0 0 a c b
0 0 0 a c c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 b a 0
0 0 0 b a a
0 0 0 b a b
0 0 0 b a c
0 0 0 b b 0
0 0 0 b b a
0 0 0 b b b
0 0 0 b b c
0 0 0 b c 0
0 0 0 b c a
0 0 0 b c b
0 0 0 b c c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c
0 0 0 c a 0
0 0 0 c a a
0 0 0 c a b
0 0 0 c a c
0 0 0 c b 0
0 0 0 c b a
0 0 0 c b b
0 0 0 c b c
0 0 0 c c 0
0 0 0 c c a
0 0 0 c c b
0 0 0 c c c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 a 0 a 0
0 0 a 0 a a
0 0 a 0 a b
0 0 a 0 a c
0 0 a 0 b 0
0 0 a 0 b a
0 0 a 0 b b
0 0 a 0 b c
0 0 a 0 c 0
0 0 a 0 c a
0 0 a 0 c b
0 0 a 0 c c
0 0 a a 0 0
0 0 a a 0 a
0 0 a a 0 b
0 0 a a 0 c
0 0 a a a 0
0 0 a a a a
0 0 a a a b
0 0 a a a c
0 0 a a b 0
0 0 a a b a
0 0 a a b b
0 0 a a b c
0 0 a a c 0
0 0 a a c a
0 0 a a c b
0 0 a a c c
0 0 a b 0 0
0 0 a b 0 a
0 0 a b 0 b
0 0 a b 0 c
0 0 a b a 0
0 0 a b a a
0 0 a b a b
0 0 a b a c
0 0 a b b 0
0 0 a b b a
0 0 a b b b
0 0 a b b c
0 0 a b c 0
0 0 a b c a
0 0 a b c b
0 0 a b c c
0 0 a c 0 0
0 0 a c 0 a
0 0 a c 0 b
0 0 a c 0 c
0 0 a c a 0
0 0 a c a a
0 0 a c a b
0 0 a c a c
0 0 a c b 0
0 0 a c b a
0 0 a c b b
0 0 a c b c
0 0 a c c 0
0 0 a c c a
0 0 a c c b
0 0 a c c c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 b 0 a 0
0 0 b 0 a a
0 0 b 0 a b
0 0 b 0 a c
0 0 b 0 b 0
0 0 b 0 b a
0 0 b 0 b b
0 0 b 0 b c
0 0 b 0 c 0
0 0 b 0 c a
0 0 b 0 c b
0 0 b 0 c c
0 0 b a 0 0
0 0 b a 0 a
0 0 b a 0 b
0 0 b a 0 c
0 0 b a a 0
0 0 b a a a
0 0 b a a b
0 0 b a a c
0 0 b a b 0
0 0 b a b a
0 0 b a b b
0 0 b a b c
0 0 b a c 0
0 0 b a c a
0 0 b a c b
0 0 b a c c
0 0 b b 0 0
0 0 b b 0 a
0 0 b b 0 b
0 0 b b 0 c
0 0 b b a 0
0 0 b b a a
0 0 b b a b
0 0 b b a c
0 0 b b b 0
0 0 b b b a
0 0 b b b b
0 0 b b b c
0 0 b b c 0
0 0 b b c a
0 0 b b c b
0 0 b b c c
0 0 b c 0 0
0 0 b c 0 a
0 0 b c 0 b
0 0 b c 0 c
0 0 b c a 0
0 0 b c a a
0 0 b c a b
0 0 b c a c
0 0 b c b 0
0 0 b c b a
0 0 b c b b
0 0 b c b c
0 0 b c c 0
0 0 b c c a
0 0 b c c b
0 0 b c c c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c
0 0 c 0 a 0
0 0 c 0 a a
0 0 c 0 a b
0 0 c 0 a c
0 0 c 0 b 0
0 0 c 0 b a
0 0 c 0 b b
0 0 c 0 b c
0 0 c 0 c 0
0 0 c 0 c a
0 0 c 0 c b
0 0 c 0 c c
0 0 c a 0 0
0 0 c a 0 a
0 0 c a 0 b
0 0 c a 0 c
0 0 c a a 0
0 0 c a a a
0 0 c a a b
0 0 c a a c
0 0 c a b 0
0 0 c a b a
0 0 c a b b
0 0 c a b c
0 0 c a c 0
0 0 c a c a
0 0 c a c b
0 0 c a c c
0 0 c b 0 0
0 0 c b 0 a
0 0 c b 0 b
0 0 c b 0 c
0 0 c b a 0
0 0 c b a a
0 0 c b a b
0 0 c b a c
0 0 c b b 0
0 0 c b b a
0 0 c b b b
0 0 c b b c
0 0 c b c 0
0 0 c b c a
0 0 c b c b
0 0 c b c c
0 0 c c 0 0
0 0 c c 0 a
0 0 c c 0 b
0 0 c c 0 c
0 0 c c a 0
0 0 c c a a
0 0 c c a b
0 0 c c a c
0 0 c c b 0
0 0 c c b a
0 0 c c b b
0 0 c c b c
0 0 c c c 0
0 0 c c c a
0 0 c c c b
0 0 c c c c
Is it a nice code?: No
Generator Matrix-270
a a 0 0 0 0
b b 0 0 0 0
0 c 0 0 0 c
0 0 c 0 0 c
0 0 0 c 0 0
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 0
0 0 0 c c c
0 0 c 0 0 c
0 0 c 0 c 0
0 0 c c 0 c
0 0 c c c 0
0 c 0 0 0 c
0 c 0 0 c 0
0 c 0 c 0 c
0 c 0 c c 0
0 c c 0 0 0
0 c c 0 c c
0 c c c 0 0
0 c c c c c
b b 0 0 0 0
b b 0 0 c c
b b 0 c 0 0
b b 0 c c c
b b c 0 0 c
b b c 0 c 0
b b c c 0 c
b b c c c 0
b a 0 0 0 c
b a 0 0 c 0
b a 0 c 0 c
b a 0 c c 0
b a c 0 0 0
b a c 0 c c
b a c c 0 0
b a c c c c
a a 0 0 0 0
a a 0 0 c c
a a 0 c 0 0
a a 0 c c c
a a c 0 0 c
a a c 0 c 0
a a c c 0 c
a a c c c 0
a b 0 0 0 c
a b 0 0 c 0
a b 0 c 0 c
a b 0 c c 0
a b c 0 0 0
a b c 0 c c
a b c c 0 0
a b c c c c
c c 0 0 0 0
c c 0 0 c c
c c 0 c 0 0
c c 0 c c c
c c c 0 0 c
c c c 0 c 0
c c c c 0 c
c c c c c 0
c 0 0 0 0 c
c 0 0 0 c 0
c 0 0 c 0 c
c 0 0 c c 0
c 0 c 0 0 0
c 0 c 0 c c
c 0 c c 0 0
c 0 c c c c
dmin: 1
Weight Enumerator: 1x0 + 1x1 + 12x2 + 18x3 + 17x4 + 13x5 + 2x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)3 (X_b)2 (X_c)1 + (X_0)1 (X_b)2 (X_c)3 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_a)1 (X_b)1 (X_c)4 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)3 (X_a)2 (X_c)1 + (X_0)1 (X_a)2 (X_c)3 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)1 (X_a)2 (X_c)3 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_a)1 (X_b)1 (X_c)4 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 a a 0
0 0 0 a a a
0 0 0 a a b
0 0 0 a a c
0 0 0 a b 0
0 0 0 a b a
0 0 0 a b b
0 0 0 a b c
0 0 0 a c 0
0 0 0 a c a
0 0 0 a c b
0 0 0 a c c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 b a 0
0 0 0 b a a
0 0 0 b a b
0 0 0 b a c
0 0 0 b b 0
0 0 0 b b a
0 0 0 b b b
0 0 0 b b c
0 0 0 b c 0
0 0 0 b c a
0 0 0 b c b
0 0 0 b c c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c
0 0 0 c a 0
0 0 0 c a a
0 0 0 c a b
0 0 0 c a c
0 0 0 c b 0
0 0 0 c b a
0 0 0 c b b
0 0 0 c b c
0 0 0 c c 0
0 0 0 c c a
0 0 0 c c b
0 0 0 c c c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 a 0 a 0
0 0 a 0 a a
0 0 a 0 a b
0 0 a 0 a c
0 0 a 0 b 0
0 0 a 0 b a
0 0 a 0 b b
0 0 a 0 b c
0 0 a 0 c 0
0 0 a 0 c a
0 0 a 0 c b
0 0 a 0 c c
0 0 a a 0 0
0 0 a a 0 a
0 0 a a 0 b
0 0 a a 0 c
0 0 a a a 0
0 0 a a a a
0 0 a a a b
0 0 a a a c
0 0 a a b 0
0 0 a a b a
0 0 a a b b
0 0 a a b c
0 0 a a c 0
0 0 a a c a
0 0 a a c b
0 0 a a c c
0 0 a b 0 0
0 0 a b 0 a
0 0 a b 0 b
0 0 a b 0 c
0 0 a b a 0
0 0 a b a a
0 0 a b a b
0 0 a b a c
0 0 a b b 0
0 0 a b b a
0 0 a b b b
0 0 a b b c
0 0 a b c 0
0 0 a b c a
0 0 a b c b
0 0 a b c c
0 0 a c 0 0
0 0 a c 0 a
0 0 a c 0 b
0 0 a c 0 c
0 0 a c a 0
0 0 a c a a
0 0 a c a b
0 0 a c a c
0 0 a c b 0
0 0 a c b a
0 0 a c b b
0 0 a c b c
0 0 a c c 0
0 0 a c c a
0 0 a c c b
0 0 a c c c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 b 0 a 0
0 0 b 0 a a
0 0 b 0 a b
0 0 b 0 a c
0 0 b 0 b 0
0 0 b 0 b a
0 0 b 0 b b
0 0 b 0 b c
0 0 b 0 c 0
0 0 b 0 c a
0 0 b 0 c b
0 0 b 0 c c
0 0 b a 0 0
0 0 b a 0 a
0 0 b a 0 b
0 0 b a 0 c
0 0 b a a 0
0 0 b a a a
0 0 b a a b
0 0 b a a c
0 0 b a b 0
0 0 b a b a
0 0 b a b b
0 0 b a b c
0 0 b a c 0
0 0 b a c a
0 0 b a c b
0 0 b a c c
0 0 b b 0 0
0 0 b b 0 a
0 0 b b 0 b
0 0 b b 0 c
0 0 b b a 0
0 0 b b a a
0 0 b b a b
0 0 b b a c
0 0 b b b 0
0 0 b b b a
0 0 b b b b
0 0 b b b c
0 0 b b c 0
0 0 b b c a
0 0 b b c b
0 0 b b c c
0 0 b c 0 0
0 0 b c 0 a
0 0 b c 0 b
0 0 b c 0 c
0 0 b c a 0
0 0 b c a a
0 0 b c a b
0 0 b c a c
0 0 b c b 0
0 0 b c b a
0 0 b c b b
0 0 b c b c
0 0 b c c 0
0 0 b c c a
0 0 b c c b
0 0 b c c c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c
0 0 c 0 a 0
0 0 c 0 a a
0 0 c 0 a b
0 0 c 0 a c
0 0 c 0 b 0
0 0 c 0 b a
0 0 c 0 b b
0 0 c 0 b c
0 0 c 0 c 0
0 0 c 0 c a
0 0 c 0 c b
0 0 c 0 c c
0 0 c a 0 0
0 0 c a 0 a
0 0 c a 0 b
0 0 c a 0 c
0 0 c a a 0
0 0 c a a a
0 0 c a a b
0 0 c a a c
0 0 c a b 0
0 0 c a b a
0 0 c a b b
0 0 c a b c
0 0 c a c 0
0 0 c a c a
0 0 c a c b
0 0 c a c c
0 0 c b 0 0
0 0 c b 0 a
0 0 c b 0 b
0 0 c b 0 c
0 0 c b a 0
0 0 c b a a
0 0 c b a b
0 0 c b a c
0 0 c b b 0
0 0 c b b a
0 0 c b b b
0 0 c b b c
0 0 c b c 0
0 0 c b c a
0 0 c b c b
0 0 c b c c
0 0 c c 0 0
0 0 c c 0 a
0 0 c c 0 b
0 0 c c 0 c
0 0 c c a 0
0 0 c c a a
0 0 c c a b
0 0 c c a c
0 0 c c b 0
0 0 c c b a
0 0 c c b b
0 0 c c b c
0 0 c c c 0
0 0 c c c a
0 0 c c c b
0 0 c c c c
Is it a nice code?: No
Generator Matrix-271
a a 0 0 0 0
b b 0 0 0 0
0 c 0 0 0 c
0 0 c 0 0 c
0 0 0 c 0 c
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 c
0 0 0 c c c
0 0 c 0 0 c
0 0 c 0 c c
0 0 c c 0 0
0 0 c c c 0
0 c 0 0 0 c
0 c 0 0 c c
0 c 0 c 0 0
0 c 0 c c 0
0 c c 0 0 0
0 c c 0 c 0
0 c c c 0 c
0 c c c c c
b b 0 0 0 0
b b 0 0 c 0
b b 0 c 0 c
b b 0 c c c
b b c 0 0 c
b b c 0 c c
b b c c 0 0
b b c c c 0
b a 0 0 0 c
b a 0 0 c c
b a 0 c 0 0
b a 0 c c 0
b a c 0 0 0
b a c 0 c 0
b a c c 0 c
b a c c c c
a a 0 0 0 0
a a 0 0 c 0
a a 0 c 0 c
a a 0 c c c
a a c 0 0 c
a a c 0 c c
a a c c 0 0
a a c c c 0
a b 0 0 0 c
a b 0 0 c c
a b 0 c 0 0
a b 0 c c 0
a b c 0 0 0
a b c 0 c 0
a b c c 0 c
a b c c c c
c c 0 0 0 0
c c 0 0 c 0
c c 0 c 0 c
c c 0 c c c
c c c 0 0 c
c c c 0 c c
c c c c 0 0
c c c c c 0
c 0 0 0 0 c
c 0 0 0 c c
c 0 0 c 0 0
c 0 0 c c 0
c 0 c 0 0 0
c 0 c 0 c 0
c 0 c c 0 c
c 0 c c c c
dmin: 1
Weight Enumerator: 1x0 + 1x1 + 12x2 + 18x3 + 17x4 + 13x5 + 2x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)4 (X_b)2 + (X_0)3 (X_b)2 (X_c)1 + (X_0)2 (X_b)2 (X_c)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)2 (X_b)2 (X_c)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)2 (X_b)2 (X_c)2 + (X_0)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_a)1 (X_b)1 (X_c)4 + (X_0)4 (X_a)2 + (X_0)3 (X_a)2 (X_c)1 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)2 (X_a)2 (X_c)2 + (X_0)1 (X_a)2 (X_c)3 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_a)1 (X_b)1 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 a a 0
0 0 0 a a a
0 0 0 a a b
0 0 0 a a c
0 0 0 a b 0
0 0 0 a b a
0 0 0 a b b
0 0 0 a b c
0 0 0 a c 0
0 0 0 a c a
0 0 0 a c b
0 0 0 a c c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 b a 0
0 0 0 b a a
0 0 0 b a b
0 0 0 b a c
0 0 0 b b 0
0 0 0 b b a
0 0 0 b b b
0 0 0 b b c
0 0 0 b c 0
0 0 0 b c a
0 0 0 b c b
0 0 0 b c c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c
0 0 0 c a 0
0 0 0 c a a
0 0 0 c a b
0 0 0 c a c
0 0 0 c b 0
0 0 0 c b a
0 0 0 c b b
0 0 0 c b c
0 0 0 c c 0
0 0 0 c c a
0 0 0 c c b
0 0 0 c c c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 a 0 a 0
0 0 a 0 a a
0 0 a 0 a b
0 0 a 0 a c
0 0 a 0 b 0
0 0 a 0 b a
0 0 a 0 b b
0 0 a 0 b c
0 0 a 0 c 0
0 0 a 0 c a
0 0 a 0 c b
0 0 a 0 c c
0 0 a a 0 0
0 0 a a 0 a
0 0 a a 0 b
0 0 a a 0 c
0 0 a a a 0
0 0 a a a a
0 0 a a a b
0 0 a a a c
0 0 a a b 0
0 0 a a b a
0 0 a a b b
0 0 a a b c
0 0 a a c 0
0 0 a a c a
0 0 a a c b
0 0 a a c c
0 0 a b 0 0
0 0 a b 0 a
0 0 a b 0 b
0 0 a b 0 c
0 0 a b a 0
0 0 a b a a
0 0 a b a b
0 0 a b a c
0 0 a b b 0
0 0 a b b a
0 0 a b b b
0 0 a b b c
0 0 a b c 0
0 0 a b c a
0 0 a b c b
0 0 a b c c
0 0 a c 0 0
0 0 a c 0 a
0 0 a c 0 b
0 0 a c 0 c
0 0 a c a 0
0 0 a c a a
0 0 a c a b
0 0 a c a c
0 0 a c b 0
0 0 a c b a
0 0 a c b b
0 0 a c b c
0 0 a c c 0
0 0 a c c a
0 0 a c c b
0 0 a c c c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 b 0 a 0
0 0 b 0 a a
0 0 b 0 a b
0 0 b 0 a c
0 0 b 0 b 0
0 0 b 0 b a
0 0 b 0 b b
0 0 b 0 b c
0 0 b 0 c 0
0 0 b 0 c a
0 0 b 0 c b
0 0 b 0 c c
0 0 b a 0 0
0 0 b a 0 a
0 0 b a 0 b
0 0 b a 0 c
0 0 b a a 0
0 0 b a a a
0 0 b a a b
0 0 b a a c
0 0 b a b 0
0 0 b a b a
0 0 b a b b
0 0 b a b c
0 0 b a c 0
0 0 b a c a
0 0 b a c b
0 0 b a c c
0 0 b b 0 0
0 0 b b 0 a
0 0 b b 0 b
0 0 b b 0 c
0 0 b b a 0
0 0 b b a a
0 0 b b a b
0 0 b b a c
0 0 b b b 0
0 0 b b b a
0 0 b b b b
0 0 b b b c
0 0 b b c 0
0 0 b b c a
0 0 b b c b
0 0 b b c c
0 0 b c 0 0
0 0 b c 0 a
0 0 b c 0 b
0 0 b c 0 c
0 0 b c a 0
0 0 b c a a
0 0 b c a b
0 0 b c a c
0 0 b c b 0
0 0 b c b a
0 0 b c b b
0 0 b c b c
0 0 b c c 0
0 0 b c c a
0 0 b c c b
0 0 b c c c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c
0 0 c 0 a 0
0 0 c 0 a a
0 0 c 0 a b
0 0 c 0 a c
0 0 c 0 b 0
0 0 c 0 b a
0 0 c 0 b b
0 0 c 0 b c
0 0 c 0 c 0
0 0 c 0 c a
0 0 c 0 c b
0 0 c 0 c c
0 0 c a 0 0
0 0 c a 0 a
0 0 c a 0 b
0 0 c a 0 c
0 0 c a a 0
0 0 c a a a
0 0 c a a b
0 0 c a a c
0 0 c a b 0
0 0 c a b a
0 0 c a b b
0 0 c a b c
0 0 c a c 0
0 0 c a c a
0 0 c a c b
0 0 c a c c
0 0 c b 0 0
0 0 c b 0 a
0 0 c b 0 b
0 0 c b 0 c
0 0 c b a 0
0 0 c b a a
0 0 c b a b
0 0 c b a c
0 0 c b b 0
0 0 c b b a
0 0 c b b b
0 0 c b b c
0 0 c b c 0
0 0 c b c a
0 0 c b c b
0 0 c b c c
0 0 c c 0 0
0 0 c c 0 a
0 0 c c 0 b
0 0 c c 0 c
0 0 c c a 0
0 0 c c a a
0 0 c c a b
0 0 c c a c
0 0 c c b 0
0 0 c c b a
0 0 c c b b
0 0 c c b c
0 0 c c c 0
0 0 c c c a
0 0 c c c b
0 0 c c c c
Is it a nice code?: No
Generator Matrix-272
a a 0 0 0 0
b b 0 0 0 0
0 c 0 0 0 c
0 0 c 0 0 c
0 0 0 c 0 c
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 c
0 0 0 c c 0
0 0 c 0 0 c
0 0 c 0 c 0
0 0 c c 0 0
0 0 c c c c
0 c 0 0 0 c
0 c 0 0 c 0
0 c 0 c 0 0
0 c 0 c c c
0 c c 0 0 0
0 c c 0 c c
0 c c c 0 c
0 c c c c 0
b b 0 0 0 0
b b 0 0 c c
b b 0 c 0 c
b b 0 c c 0
b b c 0 0 c
b b c 0 c 0
b b c c 0 0
b b c c c c
b a 0 0 0 c
b a 0 0 c 0
b a 0 c 0 0
b a 0 c c c
b a c 0 0 0
b a c 0 c c
b a c c 0 c
b a c c c 0
a a 0 0 0 0
a a 0 0 c c
a a 0 c 0 c
a a 0 c c 0
a a c 0 0 c
a a c 0 c 0
a a c c 0 0
a a c c c c
a b 0 0 0 c
a b 0 0 c 0
a b 0 c 0 0
a b 0 c c c
a b c 0 0 0
a b c 0 c c
a b c c 0 c
a b c c c 0
c c 0 0 0 0
c c 0 0 c c
c c 0 c 0 c
c c 0 c c 0
c c c 0 0 c
c c c 0 c 0
c c c c 0 0
c c c c c c
c 0 0 0 0 c
c 0 0 0 c 0
c 0 0 c 0 0
c 0 0 c c c
c 0 c 0 0 0
c 0 c 0 c c
c 0 c c 0 c
c 0 c c c 0
dmin: 2
Weight Enumerator: 1x0 + 0x1 + 17x2 + 8x3 + 27x4 + 8x5 + 3x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)4 (X_b)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_b)2 (X_c)2 + (X_0)2 (X_b)2 (X_c)2 + (X_b)2 (X_c)4 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_a)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)2 (X_c)2 + (X_0)2 (X_a)2 (X_c)2 + (X_a)2 (X_c)4 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)3 (X_a)1 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)1 (X_a)1 (X_b)1 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_c)6 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 a a 0
0 0 0 a a a
0 0 0 a a b
0 0 0 a a c
0 0 0 a b 0
0 0 0 a b a
0 0 0 a b b
0 0 0 a b c
0 0 0 a c 0
0 0 0 a c a
0 0 0 a c b
0 0 0 a c c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 b a 0
0 0 0 b a a
0 0 0 b a b
0 0 0 b a c
0 0 0 b b 0
0 0 0 b b a
0 0 0 b b b
0 0 0 b b c
0 0 0 b c 0
0 0 0 b c a
0 0 0 b c b
0 0 0 b c c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c
0 0 0 c a 0
0 0 0 c a a
0 0 0 c a b
0 0 0 c a c
0 0 0 c b 0
0 0 0 c b a
0 0 0 c b b
0 0 0 c b c
0 0 0 c c 0
0 0 0 c c a
0 0 0 c c b
0 0 0 c c c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 a 0 a 0
0 0 a 0 a a
0 0 a 0 a b
0 0 a 0 a c
0 0 a 0 b 0
0 0 a 0 b a
0 0 a 0 b b
0 0 a 0 b c
0 0 a 0 c 0
0 0 a 0 c a
0 0 a 0 c b
0 0 a 0 c c
0 0 a a 0 0
0 0 a a 0 a
0 0 a a 0 b
0 0 a a 0 c
0 0 a a a 0
0 0 a a a a
0 0 a a a b
0 0 a a a c
0 0 a a b 0
0 0 a a b a
0 0 a a b b
0 0 a a b c
0 0 a a c 0
0 0 a a c a
0 0 a a c b
0 0 a a c c
0 0 a b 0 0
0 0 a b 0 a
0 0 a b 0 b
0 0 a b 0 c
0 0 a b a 0
0 0 a b a a
0 0 a b a b
0 0 a b a c
0 0 a b b 0
0 0 a b b a
0 0 a b b b
0 0 a b b c
0 0 a b c 0
0 0 a b c a
0 0 a b c b
0 0 a b c c
0 0 a c 0 0
0 0 a c 0 a
0 0 a c 0 b
0 0 a c 0 c
0 0 a c a 0
0 0 a c a a
0 0 a c a b
0 0 a c a c
0 0 a c b 0
0 0 a c b a
0 0 a c b b
0 0 a c b c
0 0 a c c 0
0 0 a c c a
0 0 a c c b
0 0 a c c c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 b 0 a 0
0 0 b 0 a a
0 0 b 0 a b
0 0 b 0 a c
0 0 b 0 b 0
0 0 b 0 b a
0 0 b 0 b b
0 0 b 0 b c
0 0 b 0 c 0
0 0 b 0 c a
0 0 b 0 c b
0 0 b 0 c c
0 0 b a 0 0
0 0 b a 0 a
0 0 b a 0 b
0 0 b a 0 c
0 0 b a a 0
0 0 b a a a
0 0 b a a b
0 0 b a a c
0 0 b a b 0
0 0 b a b a
0 0 b a b b
0 0 b a b c
0 0 b a c 0
0 0 b a c a
0 0 b a c b
0 0 b a c c
0 0 b b 0 0
0 0 b b 0 a
0 0 b b 0 b
0 0 b b 0 c
0 0 b b a 0
0 0 b b a a
0 0 b b a b
0 0 b b a c
0 0 b b b 0
0 0 b b b a
0 0 b b b b
0 0 b b b c
0 0 b b c 0
0 0 b b c a
0 0 b b c b
0 0 b b c c
0 0 b c 0 0
0 0 b c 0 a
0 0 b c 0 b
0 0 b c 0 c
0 0 b c a 0
0 0 b c a a
0 0 b c a b
0 0 b c a c
0 0 b c b 0
0 0 b c b a
0 0 b c b b
0 0 b c b c
0 0 b c c 0
0 0 b c c a
0 0 b c c b
0 0 b c c c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c
0 0 c 0 a 0
0 0 c 0 a a
0 0 c 0 a b
0 0 c 0 a c
0 0 c 0 b 0
0 0 c 0 b a
0 0 c 0 b b
0 0 c 0 b c
0 0 c 0 c 0
0 0 c 0 c a
0 0 c 0 c b
0 0 c 0 c c
0 0 c a 0 0
0 0 c a 0 a
0 0 c a 0 b
0 0 c a 0 c
0 0 c a a 0
0 0 c a a a
0 0 c a a b
0 0 c a a c
0 0 c a b 0
0 0 c a b a
0 0 c a b b
0 0 c a b c
0 0 c a c 0
0 0 c a c a
0 0 c a c b
0 0 c a c c
0 0 c b 0 0
0 0 c b 0 a
0 0 c b 0 b
0 0 c b 0 c
0 0 c b a 0
0 0 c b a a
0 0 c b a b
0 0 c b a c
0 0 c b b 0
0 0 c b b a
0 0 c b b b
0 0 c b b c
0 0 c b c 0
0 0 c b c a
0 0 c b c b
0 0 c b c c
0 0 c c 0 0
0 0 c c 0 a
0 0 c c 0 b
0 0 c c 0 c
0 0 c c a 0
0 0 c c a a
0 0 c c a b
0 0 c c a c
0 0 c c b 0
0 0 c c b a
0 0 c c b b
0 0 c c b c
0 0 c c c 0
0 0 c c c a
0 0 c c c b
0 0 c c c c
Is it a nice code?: No
Generator Matrix-273
a a 0 0 0 a
b b 0 0 0 b
0 c 0 0 0 0
0 0 c 0 0 0
0 0 0 c 0 0
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 0
0 0 0 c c 0
0 0 c 0 0 0
0 0 c 0 c 0
0 0 c c 0 0
0 0 c c c 0
0 c 0 0 0 0
0 c 0 0 c 0
0 c 0 c 0 0
0 c 0 c c 0
0 c c 0 0 0
0 c c 0 c 0
0 c c c 0 0
0 c c c c 0
b b 0 0 0 b
b b 0 0 c b
b b 0 c 0 b
b b 0 c c b
b b c 0 0 b
b b c 0 c b
b b c c 0 b
b b c c c b
b a 0 0 0 b
b a 0 0 c b
b a 0 c 0 b
b a 0 c c b
b a c 0 0 b
b a c 0 c b
b a c c 0 b
b a c c c b
a a 0 0 0 a
a a 0 0 c a
a a 0 c 0 a
a a 0 c c a
a a c 0 0 a
a a c 0 c a
a a c c 0 a
a a c c c a
a b 0 0 0 a
a b 0 0 c a
a b 0 c 0 a
a b 0 c c a
a b c 0 0 a
a b c 0 c a
a b c c 0 a
a b c c c a
c c 0 0 0 c
c c 0 0 c c
c c 0 c 0 c
c c 0 c c c
c c c 0 0 c
c c c 0 c c
c c c c 0 c
c c c c c c
c 0 0 0 0 c
c 0 0 0 c c
c 0 0 c 0 c
c 0 0 c c c
c 0 c 0 0 c
c 0 c 0 c c
c 0 c c 0 c
c 0 c c c c
dmin: 1
Weight Enumerator: 1x0 + 4x1 + 7x2 + 12x3 + 19x4 + 16x5 + 5x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_b)3 + (X_0)2 (X_b)3 (X_c)1 + (X_0)2 (X_b)3 (X_c)1 + (X_0)1 (X_b)3 (X_c)2 + (X_0)2 (X_b)3 (X_c)1 + (X_0)1 (X_b)3 (X_c)2 + (X_0)1 (X_b)3 (X_c)2 + (X_b)3 (X_c)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)3 + (X_0)2 (X_a)3 (X_c)1 + (X_0)2 (X_a)3 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_0)2 (X_a)3 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)3 (X_c)2 + (X_a)3 (X_c)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5 + (X_c)6 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 0 a 0 0
0 0 0 a a 0
0 0 0 a b 0
0 0 0 a c 0
0 0 0 b 0 0
0 0 0 b a 0
0 0 0 b b 0
0 0 0 b c 0
0 0 0 c 0 0
0 0 0 c a 0
0 0 0 c b 0
0 0 0 c c 0
0 0 a 0 0 0
0 0 a 0 a 0
0 0 a 0 b 0
0 0 a 0 c 0
0 0 a a 0 0
0 0 a a a 0
0 0 a a b 0
0 0 a a c 0
0 0 a b 0 0
0 0 a b a 0
0 0 a b b 0
0 0 a b c 0
0 0 a c 0 0
0 0 a c a 0
0 0 a c b 0
0 0 a c c 0
0 0 b 0 0 0
0 0 b 0 a 0
0 0 b 0 b 0
0 0 b 0 c 0
0 0 b a 0 0
0 0 b a a 0
0 0 b a b 0
0 0 b a c 0
0 0 b b 0 0
0 0 b b a 0
0 0 b b b 0
0 0 b b c 0
0 0 b c 0 0
0 0 b c a 0
0 0 b c b 0
0 0 b c c 0
0 0 c 0 0 0
0 0 c 0 a 0
0 0 c 0 b 0
0 0 c 0 c 0
0 0 c a 0 0
0 0 c a a 0
0 0 c a b 0
0 0 c a c 0
0 0 c b 0 0
0 0 c b a 0
0 0 c b b 0
0 0 c b c 0
0 0 c c 0 0
0 0 c c a 0
0 0 c c b 0
0 0 c c c 0
Is it a nice code?: Yes
Generator Matrix-274
a a 0 0 0 a
b b 0 0 0 b
0 c 0 0 0 0
0 0 c 0 0 0
0 0 0 c 0 0
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 0
0 0 0 c c c
0 0 c 0 0 0
0 0 c 0 c c
0 0 c c 0 0
0 0 c c c c
0 c 0 0 0 0
0 c 0 0 c c
0 c 0 c 0 0
0 c 0 c c c
0 c c 0 0 0
0 c c 0 c c
0 c c c 0 0
0 c c c c c
b b 0 0 0 b
b b 0 0 c a
b b 0 c 0 b
b b 0 c c a
b b c 0 0 b
b b c 0 c a
b b c c 0 b
b b c c c a
b a 0 0 0 b
b a 0 0 c a
b a 0 c 0 b
b a 0 c c a
b a c 0 0 b
b a c 0 c a
b a c c 0 b
b a c c c a
a a 0 0 0 a
a a 0 0 c b
a a 0 c 0 a
a a 0 c c b
a a c 0 0 a
a a c 0 c b
a a c c 0 a
a a c c c b
a b 0 0 0 a
a b 0 0 c b
a b 0 c 0 a
a b 0 c c b
a b c 0 0 a
a b c 0 c b
a b c c 0 a
a b c c c b
c c 0 0 0 c
c c 0 0 c 0
c c 0 c 0 c
c c 0 c c 0
c c c 0 0 c
c c c 0 c 0
c c c c 0 c
c c c c c 0
c 0 0 0 0 c
c 0 0 0 c 0
c 0 0 c 0 c
c 0 0 c c 0
c 0 c 0 0 c
c 0 c 0 c 0
c 0 c c 0 c
c 0 c c c 0
dmin: 1
Weight Enumerator: 1x0 + 3x1 + 6x2 + 14x3 + 21x4 + 15x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_b)3 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 0 a 0 0
0 0 0 a a 0
0 0 0 a b 0
0 0 0 a c 0
0 0 0 b 0 0
0 0 0 b a 0
0 0 0 b b 0
0 0 0 b c 0
0 0 0 c 0 0
0 0 0 c a 0
0 0 0 c b 0
0 0 0 c c 0
0 0 a 0 0 0
0 0 a 0 a 0
0 0 a 0 b 0
0 0 a 0 c 0
0 0 a a 0 0
0 0 a a a 0
0 0 a a b 0
0 0 a a c 0
0 0 a b 0 0
0 0 a b a 0
0 0 a b b 0
0 0 a b c 0
0 0 a c 0 0
0 0 a c a 0
0 0 a c b 0
0 0 a c c 0
0 0 b 0 0 0
0 0 b 0 a 0
0 0 b 0 b 0
0 0 b 0 c 0
0 0 b a 0 0
0 0 b a a 0
0 0 b a b 0
0 0 b a c 0
0 0 b b 0 0
0 0 b b a 0
0 0 b b b 0
0 0 b b c 0
0 0 b c 0 0
0 0 b c a 0
0 0 b c b 0
0 0 b c c 0
0 0 c 0 0 0
0 0 c 0 a 0
0 0 c 0 b 0
0 0 c 0 c 0
0 0 c a 0 0
0 0 c a a 0
0 0 c a b 0
0 0 c a c 0
0 0 c b 0 0
0 0 c b a 0
0 0 c b b 0
0 0 c b c 0
0 0 c c 0 0
0 0 c c a 0
0 0 c c b 0
0 0 c c c 0
Is it a nice code?: Yes
Generator Matrix-275
a a 0 0 0 a
b b 0 0 0 b
0 c 0 0 0 0
0 0 c 0 0 0
0 0 0 c 0 c
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 c
0 0 0 c c c
0 0 c 0 0 0
0 0 c 0 c 0
0 0 c c 0 c
0 0 c c c c
0 c 0 0 0 0
0 c 0 0 c 0
0 c 0 c 0 c
0 c 0 c c c
0 c c 0 0 0
0 c c 0 c 0
0 c c c 0 c
0 c c c c c
b b 0 0 0 b
b b 0 0 c b
b b 0 c 0 a
b b 0 c c a
b b c 0 0 b
b b c 0 c b
b b c c 0 a
b b c c c a
b a 0 0 0 b
b a 0 0 c b
b a 0 c 0 a
b a 0 c c a
b a c 0 0 b
b a c 0 c b
b a c c 0 a
b a c c c a
a a 0 0 0 a
a a 0 0 c a
a a 0 c 0 b
a a 0 c c b
a a c 0 0 a
a a c 0 c a
a a c c 0 b
a a c c c b
a b 0 0 0 a
a b 0 0 c a
a b 0 c 0 b
a b 0 c c b
a b c 0 0 a
a b c 0 c a
a b c c 0 b
a b c c c b
c c 0 0 0 c
c c 0 0 c c
c c 0 c 0 0
c c 0 c c 0
c c c 0 0 c
c c c 0 c c
c c c c 0 0
c c c c c 0
c 0 0 0 0 c
c 0 0 0 c c
c 0 0 c 0 0
c 0 0 c c 0
c 0 c 0 0 c
c 0 c 0 c c
c 0 c c 0 0
c 0 c c c 0
dmin: 1
Weight Enumerator: 1x0 + 3x1 + 6x2 + 14x3 + 21x4 + 15x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)3 (X_b)3 + (X_0)2 (X_b)3 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_b)3 (X_c)1 + (X_0)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_a)3 + (X_0)2 (X_a)3 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)3 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 0 a 0 0
0 0 0 a a 0
0 0 0 a b 0
0 0 0 a c 0
0 0 0 b 0 0
0 0 0 b a 0
0 0 0 b b 0
0 0 0 b c 0
0 0 0 c 0 0
0 0 0 c a 0
0 0 0 c b 0
0 0 0 c c 0
0 0 a 0 0 0
0 0 a 0 a 0
0 0 a 0 b 0
0 0 a 0 c 0
0 0 a a 0 0
0 0 a a a 0
0 0 a a b 0
0 0 a a c 0
0 0 a b 0 0
0 0 a b a 0
0 0 a b b 0
0 0 a b c 0
0 0 a c 0 0
0 0 a c a 0
0 0 a c b 0
0 0 a c c 0
0 0 b 0 0 0
0 0 b 0 a 0
0 0 b 0 b 0
0 0 b 0 c 0
0 0 b a 0 0
0 0 b a a 0
0 0 b a b 0
0 0 b a c 0
0 0 b b 0 0
0 0 b b a 0
0 0 b b b 0
0 0 b b c 0
0 0 b c 0 0
0 0 b c a 0
0 0 b c b 0
0 0 b c c 0
0 0 c 0 0 0
0 0 c 0 a 0
0 0 c 0 b 0
0 0 c 0 c 0
0 0 c a 0 0
0 0 c a a 0
0 0 c a b 0
0 0 c a c 0
0 0 c b 0 0
0 0 c b a 0
0 0 c b b 0
0 0 c b c 0
0 0 c c 0 0
0 0 c c a 0
0 0 c c b 0
0 0 c c c 0
Is it a nice code?: Yes
Generator Matrix-276
a a 0 0 0 a
b b 0 0 0 b
0 c 0 0 0 0
0 0 c 0 0 0
0 0 0 c 0 c
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 c
0 0 0 c c 0
0 0 c 0 0 0
0 0 c 0 c c
0 0 c c 0 c
0 0 c c c 0
0 c 0 0 0 0
0 c 0 0 c c
0 c 0 c 0 c
0 c 0 c c 0
0 c c 0 0 0
0 c c 0 c c
0 c c c 0 c
0 c c c c 0
b b 0 0 0 b
b b 0 0 c a
b b 0 c 0 a
b b 0 c c b
b b c 0 0 b
b b c 0 c a
b b c c 0 a
b b c c c b
b a 0 0 0 b
b a 0 0 c a
b a 0 c 0 a
b a 0 c c b
b a c 0 0 b
b a c 0 c a
b a c c 0 a
b a c c c b
a a 0 0 0 a
a a 0 0 c b
a a 0 c 0 b
a a 0 c c a
a a c 0 0 a
a a c 0 c b
a a c c 0 b
a a c c c a
a b 0 0 0 a
a b 0 0 c b
a b 0 c 0 b
a b 0 c c a
a b c 0 0 a
a b c 0 c b
a b c c 0 b
a b c c c a
c c 0 0 0 c
c c 0 0 c 0
c c 0 c 0 0
c c 0 c c c
c c c 0 0 c
c c c 0 c 0
c c c c 0 0
c c c c c c
c 0 0 0 0 c
c 0 0 0 c 0
c 0 0 c 0 0
c 0 0 c c c
c 0 c 0 0 c
c 0 c 0 c 0
c 0 c c 0 0
c 0 c c c c
dmin: 1
Weight Enumerator: 1x0 + 2x1 + 7x2 + 16x3 + 19x4 + 14x5 + 5x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_b)3 (X_c)2 + (X_0)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_b)3 (X_c)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_0)2 (X_a)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)3 (X_c)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_c)6 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 0 a 0 0
0 0 0 a a 0
0 0 0 a b 0
0 0 0 a c 0
0 0 0 b 0 0
0 0 0 b a 0
0 0 0 b b 0
0 0 0 b c 0
0 0 0 c 0 0
0 0 0 c a 0
0 0 0 c b 0
0 0 0 c c 0
0 0 a 0 0 0
0 0 a 0 a 0
0 0 a 0 b 0
0 0 a 0 c 0
0 0 a a 0 0
0 0 a a a 0
0 0 a a b 0
0 0 a a c 0
0 0 a b 0 0
0 0 a b a 0
0 0 a b b 0
0 0 a b c 0
0 0 a c 0 0
0 0 a c a 0
0 0 a c b 0
0 0 a c c 0
0 0 b 0 0 0
0 0 b 0 a 0
0 0 b 0 b 0
0 0 b 0 c 0
0 0 b a 0 0
0 0 b a a 0
0 0 b a b 0
0 0 b a c 0
0 0 b b 0 0
0 0 b b a 0
0 0 b b b 0
0 0 b b c 0
0 0 b c 0 0
0 0 b c a 0
0 0 b c b 0
0 0 b c c 0
0 0 c 0 0 0
0 0 c 0 a 0
0 0 c 0 b 0
0 0 c 0 c 0
0 0 c a 0 0
0 0 c a a 0
0 0 c a b 0
0 0 c a c 0
0 0 c b 0 0
0 0 c b a 0
0 0 c b b 0
0 0 c b c 0
0 0 c c 0 0
0 0 c c a 0
0 0 c c b 0
0 0 c c c 0
Is it a nice code?: Yes
Generator Matrix-277
a a 0 0 0 a
b b 0 0 0 b
0 c 0 0 0 0
0 0 c 0 0 c
0 0 0 c 0 0
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 0
0 0 0 c c 0
0 0 c 0 0 c
0 0 c 0 c c
0 0 c c 0 c
0 0 c c c c
0 c 0 0 0 0
0 c 0 0 c 0
0 c 0 c 0 0
0 c 0 c c 0
0 c c 0 0 c
0 c c 0 c c
0 c c c 0 c
0 c c c c c
b b 0 0 0 b
b b 0 0 c b
b b 0 c 0 b
b b 0 c c b
b b c 0 0 a
b b c 0 c a
b b c c 0 a
b b c c c a
b a 0 0 0 b
b a 0 0 c b
b a 0 c 0 b
b a 0 c c b
b a c 0 0 a
b a c 0 c a
b a c c 0 a
b a c c c a
a a 0 0 0 a
a a 0 0 c a
a a 0 c 0 a
a a 0 c c a
a a c 0 0 b
a a c 0 c b
a a c c 0 b
a a c c c b
a b 0 0 0 a
a b 0 0 c a
a b 0 c 0 a
a b 0 c c a
a b c 0 0 b
a b c 0 c b
a b c c 0 b
a b c c c b
c c 0 0 0 c
c c 0 0 c c
c c 0 c 0 c
c c 0 c c c
c c c 0 0 0
c c c 0 c 0
c c c c 0 0
c c c c c 0
c 0 0 0 0 c
c 0 0 0 c c
c 0 0 c 0 c
c 0 0 c c c
c 0 c 0 0 0
c 0 c 0 c 0
c 0 c c 0 0
c 0 c c c 0
dmin: 1
Weight Enumerator: 1x0 + 3x1 + 6x2 + 14x3 + 21x4 + 15x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)3 (X_b)3 + (X_0)2 (X_b)3 (X_c)1 + (X_0)2 (X_b)3 (X_c)1 + (X_0)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_a)3 + (X_0)2 (X_a)3 (X_c)1 + (X_0)2 (X_a)3 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 0 a 0 0
0 0 0 a a 0
0 0 0 a b 0
0 0 0 a c 0
0 0 0 b 0 0
0 0 0 b a 0
0 0 0 b b 0
0 0 0 b c 0
0 0 0 c 0 0
0 0 0 c a 0
0 0 0 c b 0
0 0 0 c c 0
0 0 a 0 0 0
0 0 a 0 a 0
0 0 a 0 b 0
0 0 a 0 c 0
0 0 a a 0 0
0 0 a a a 0
0 0 a a b 0
0 0 a a c 0
0 0 a b 0 0
0 0 a b a 0
0 0 a b b 0
0 0 a b c 0
0 0 a c 0 0
0 0 a c a 0
0 0 a c b 0
0 0 a c c 0
0 0 b 0 0 0
0 0 b 0 a 0
0 0 b 0 b 0
0 0 b 0 c 0
0 0 b a 0 0
0 0 b a a 0
0 0 b a b 0
0 0 b a c 0
0 0 b b 0 0
0 0 b b a 0
0 0 b b b 0
0 0 b b c 0
0 0 b c 0 0
0 0 b c a 0
0 0 b c b 0
0 0 b c c 0
0 0 c 0 0 0
0 0 c 0 a 0
0 0 c 0 b 0
0 0 c 0 c 0
0 0 c a 0 0
0 0 c a a 0
0 0 c a b 0
0 0 c a c 0
0 0 c b 0 0
0 0 c b a 0
0 0 c b b 0
0 0 c b c 0
0 0 c c 0 0
0 0 c c a 0
0 0 c c b 0
0 0 c c c 0
Is it a nice code?: Yes
Generator Matrix-278
a a 0 0 0 a
b b 0 0 0 b
0 c 0 0 0 0
0 0 c 0 0 c
0 0 0 c 0 0
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 0
0 0 0 c c c
0 0 c 0 0 c
0 0 c 0 c 0
0 0 c c 0 c
0 0 c c c 0
0 c 0 0 0 0
0 c 0 0 c c
0 c 0 c 0 0
0 c 0 c c c
0 c c 0 0 c
0 c c 0 c 0
0 c c c 0 c
0 c c c c 0
b b 0 0 0 b
b b 0 0 c a
b b 0 c 0 b
b b 0 c c a
b b c 0 0 a
b b c 0 c b
b b c c 0 a
b b c c c b
b a 0 0 0 b
b a 0 0 c a
b a 0 c 0 b
b a 0 c c a
b a c 0 0 a
b a c 0 c b
b a c c 0 a
b a c c c b
a a 0 0 0 a
a a 0 0 c b
a a 0 c 0 a
a a 0 c c b
a a c 0 0 b
a a c 0 c a
a a c c 0 b
a a c c c a
a b 0 0 0 a
a b 0 0 c b
a b 0 c 0 a
a b 0 c c b
a b c 0 0 b
a b c 0 c a
a b c c 0 b
a b c c c a
c c 0 0 0 c
c c 0 0 c 0
c c 0 c 0 c
c c 0 c c 0
c c c 0 0 0
c c c 0 c c
c c c c 0 0
c c c c c c
c 0 0 0 0 c
c 0 0 0 c 0
c 0 0 c 0 c
c 0 0 c c 0
c 0 c 0 0 0
c 0 c 0 c c
c 0 c c 0 0
c 0 c c c c
dmin: 1
Weight Enumerator: 1x0 + 2x1 + 7x2 + 16x3 + 19x4 + 14x5 + 5x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_b)3 (X_c)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)3 (X_c)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_c)6 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 0 a 0 0
0 0 0 a a 0
0 0 0 a b 0
0 0 0 a c 0
0 0 0 b 0 0
0 0 0 b a 0
0 0 0 b b 0
0 0 0 b c 0
0 0 0 c 0 0
0 0 0 c a 0
0 0 0 c b 0
0 0 0 c c 0
0 0 a 0 0 0
0 0 a 0 a 0
0 0 a 0 b 0
0 0 a 0 c 0
0 0 a a 0 0
0 0 a a a 0
0 0 a a b 0
0 0 a a c 0
0 0 a b 0 0
0 0 a b a 0
0 0 a b b 0
0 0 a b c 0
0 0 a c 0 0
0 0 a c a 0
0 0 a c b 0
0 0 a c c 0
0 0 b 0 0 0
0 0 b 0 a 0
0 0 b 0 b 0
0 0 b 0 c 0
0 0 b a 0 0
0 0 b a a 0
0 0 b a b 0
0 0 b a c 0
0 0 b b 0 0
0 0 b b a 0
0 0 b b b 0
0 0 b b c 0
0 0 b c 0 0
0 0 b c a 0
0 0 b c b 0
0 0 b c c 0
0 0 c 0 0 0
0 0 c 0 a 0
0 0 c 0 b 0
0 0 c 0 c 0
0 0 c a 0 0
0 0 c a a 0
0 0 c a b 0
0 0 c a c 0
0 0 c b 0 0
0 0 c b a 0
0 0 c b b 0
0 0 c b c 0
0 0 c c 0 0
0 0 c c a 0
0 0 c c b 0
0 0 c c c 0
Is it a nice code?: Yes
Generator Matrix-279
a a 0 0 0 a
b b 0 0 0 b
0 c 0 0 0 0
0 0 c 0 0 c
0 0 0 c 0 c
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 c
0 0 0 c c c
0 0 c 0 0 c
0 0 c 0 c c
0 0 c c 0 0
0 0 c c c 0
0 c 0 0 0 0
0 c 0 0 c 0
0 c 0 c 0 c
0 c 0 c c c
0 c c 0 0 c
0 c c 0 c c
0 c c c 0 0
0 c c c c 0
b b 0 0 0 b
b b 0 0 c b
b b 0 c 0 a
b b 0 c c a
b b c 0 0 a
b b c 0 c a
b b c c 0 b
b b c c c b
b a 0 0 0 b
b a 0 0 c b
b a 0 c 0 a
b a 0 c c a
b a c 0 0 a
b a c 0 c a
b a c c 0 b
b a c c c b
a a 0 0 0 a
a a 0 0 c a
a a 0 c 0 b
a a 0 c c b
a a c 0 0 b
a a c 0 c b
a a c c 0 a
a a c c c a
a b 0 0 0 a
a b 0 0 c a
a b 0 c 0 b
a b 0 c c b
a b c 0 0 b
a b c 0 c b
a b c c 0 a
a b c c c a
c c 0 0 0 c
c c 0 0 c c
c c 0 c 0 0
c c 0 c c 0
c c c 0 0 0
c c c 0 c 0
c c c c 0 c
c c c c c c
c 0 0 0 0 c
c 0 0 0 c c
c 0 0 c 0 0
c 0 0 c c 0
c 0 c 0 0 0
c 0 c 0 c 0
c 0 c c 0 c
c 0 c c c c
dmin: 1
Weight Enumerator: 1x0 + 2x1 + 7x2 + 16x3 + 19x4 + 14x5 + 5x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_b)3 + (X_0)2 (X_b)3 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_b)3 (X_c)2 + (X_b)3 (X_c)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)3 + (X_0)2 (X_a)3 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_c)2 + (X_a)3 (X_c)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_c)6 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 0 a 0 0
0 0 0 a a 0
0 0 0 a b 0
0 0 0 a c 0
0 0 0 b 0 0
0 0 0 b a 0
0 0 0 b b 0
0 0 0 b c 0
0 0 0 c 0 0
0 0 0 c a 0
0 0 0 c b 0
0 0 0 c c 0
0 0 a 0 0 0
0 0 a 0 a 0
0 0 a 0 b 0
0 0 a 0 c 0
0 0 a a 0 0
0 0 a a a 0
0 0 a a b 0
0 0 a a c 0
0 0 a b 0 0
0 0 a b a 0
0 0 a b b 0
0 0 a b c 0
0 0 a c 0 0
0 0 a c a 0
0 0 a c b 0
0 0 a c c 0
0 0 b 0 0 0
0 0 b 0 a 0
0 0 b 0 b 0
0 0 b 0 c 0
0 0 b a 0 0
0 0 b a a 0
0 0 b a b 0
0 0 b a c 0
0 0 b b 0 0
0 0 b b a 0
0 0 b b b 0
0 0 b b c 0
0 0 b c 0 0
0 0 b c a 0
0 0 b c b 0
0 0 b c c 0
0 0 c 0 0 0
0 0 c 0 a 0
0 0 c 0 b 0
0 0 c 0 c 0
0 0 c a 0 0
0 0 c a a 0
0 0 c a b 0
0 0 c a c 0
0 0 c b 0 0
0 0 c b a 0
0 0 c b b 0
0 0 c b c 0
0 0 c c 0 0
0 0 c c a 0
0 0 c c b 0
0 0 c c c 0
Is it a nice code?: Yes
Generator Matrix-280
a a 0 0 0 a
b b 0 0 0 b
0 c 0 0 0 0
0 0 c 0 0 c
0 0 0 c 0 c
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 c
0 0 0 c c 0
0 0 c 0 0 c
0 0 c 0 c 0
0 0 c c 0 0
0 0 c c c c
0 c 0 0 0 0
0 c 0 0 c c
0 c 0 c 0 c
0 c 0 c c 0
0 c c 0 0 c
0 c c 0 c 0
0 c c c 0 0
0 c c c c c
b b 0 0 0 b
b b 0 0 c a
b b 0 c 0 a
b b 0 c c b
b b c 0 0 a
b b c 0 c b
b b c c 0 b
b b c c c a
b a 0 0 0 b
b a 0 0 c a
b a 0 c 0 a
b a 0 c c b
b a c 0 0 a
b a c 0 c b
b a c c 0 b
b a c c c a
a a 0 0 0 a
a a 0 0 c b
a a 0 c 0 b
a a 0 c c a
a a c 0 0 b
a a c 0 c a
a a c c 0 a
a a c c c b
a b 0 0 0 a
a b 0 0 c b
a b 0 c 0 b
a b 0 c c a
a b c 0 0 b
a b c 0 c a
a b c c 0 a
a b c c c b
c c 0 0 0 c
c c 0 0 c 0
c c 0 c 0 0
c c 0 c c c
c c c 0 0 0
c c c 0 c c
c c c c 0 c
c c c c c 0
c 0 0 0 0 c
c 0 0 0 c 0
c 0 0 c 0 0
c 0 0 c c c
c 0 c 0 0 0
c 0 c 0 c c
c 0 c c 0 c
c 0 c c c 0
dmin: 1
Weight Enumerator: 1x0 + 1x1 + 10x2 + 14x3 + 17x4 + 17x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_b)3 (X_c)2 + (X_0)1 (X_b)3 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)3 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 0 a 0 0
0 0 0 a a 0
0 0 0 a b 0
0 0 0 a c 0
0 0 0 b 0 0
0 0 0 b a 0
0 0 0 b b 0
0 0 0 b c 0
0 0 0 c 0 0
0 0 0 c a 0
0 0 0 c b 0
0 0 0 c c 0
0 0 a 0 0 0
0 0 a 0 a 0
0 0 a 0 b 0
0 0 a 0 c 0
0 0 a a 0 0
0 0 a a a 0
0 0 a a b 0
0 0 a a c 0
0 0 a b 0 0
0 0 a b a 0
0 0 a b b 0
0 0 a b c 0
0 0 a c 0 0
0 0 a c a 0
0 0 a c b 0
0 0 a c c 0
0 0 b 0 0 0
0 0 b 0 a 0
0 0 b 0 b 0
0 0 b 0 c 0
0 0 b a 0 0
0 0 b a a 0
0 0 b a b 0
0 0 b a c 0
0 0 b b 0 0
0 0 b b a 0
0 0 b b b 0
0 0 b b c 0
0 0 b c 0 0
0 0 b c a 0
0 0 b c b 0
0 0 b c c 0
0 0 c 0 0 0
0 0 c 0 a 0
0 0 c 0 b 0
0 0 c 0 c 0
0 0 c a 0 0
0 0 c a a 0
0 0 c a b 0
0 0 c a c 0
0 0 c b 0 0
0 0 c b a 0
0 0 c b b 0
0 0 c b c 0
0 0 c c 0 0
0 0 c c a 0
0 0 c c b 0
0 0 c c c 0
Is it a nice code?: Yes
Generator Matrix-281
a a 0 0 0 a
b b 0 0 0 b
0 c 0 0 0 c
0 0 c 0 0 0
0 0 0 c 0 0
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 0
0 0 0 c c 0
0 0 c 0 0 0
0 0 c 0 c 0
0 0 c c 0 0
0 0 c c c 0
0 c 0 0 0 c
0 c 0 0 c c
0 c 0 c 0 c
0 c 0 c c c
0 c c 0 0 c
0 c c 0 c c
0 c c c 0 c
0 c c c c c
b b 0 0 0 b
b b 0 0 c b
b b 0 c 0 b
b b 0 c c b
b b c 0 0 b
b b c 0 c b
b b c c 0 b
b b c c c b
b a 0 0 0 a
b a 0 0 c a
b a 0 c 0 a
b a 0 c c a
b a c 0 0 a
b a c 0 c a
b a c c 0 a
b a c c c a
a a 0 0 0 a
a a 0 0 c a
a a 0 c 0 a
a a 0 c c a
a a c 0 0 a
a a c 0 c a
a a c c 0 a
a a c c c a
a b 0 0 0 b
a b 0 0 c b
a b 0 c 0 b
a b 0 c c b
a b c 0 0 b
a b c 0 c b
a b c c 0 b
a b c c c b
c c 0 0 0 c
c c 0 0 c c
c c 0 c 0 c
c c 0 c c c
c c c 0 0 c
c c c 0 c c
c c c c 0 c
c c c c c c
c 0 0 0 0 0
c 0 0 0 c 0
c 0 0 c 0 0
c 0 0 c c 0
c 0 c 0 0 0
c 0 c 0 c 0
c 0 c c 0 0
c 0 c c c 0
dmin: 1
Weight Enumerator: 1x0 + 4x1 + 7x2 + 12x3 + 19x4 + 16x5 + 5x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)3 (X_b)3 + (X_0)2 (X_b)3 (X_c)1 + (X_0)2 (X_b)3 (X_c)1 + (X_0)1 (X_b)3 (X_c)2 + (X_0)2 (X_b)3 (X_c)1 + (X_0)1 (X_b)3 (X_c)2 + (X_0)1 (X_b)3 (X_c)2 + (X_b)3 (X_c)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_a)3 + (X_0)2 (X_a)3 (X_c)1 + (X_0)2 (X_a)3 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_0)2 (X_a)3 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)3 (X_c)2 + (X_a)3 (X_c)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5 + (X_c)6 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 0 a 0 0
0 0 0 a a 0
0 0 0 a b 0
0 0 0 a c 0
0 0 0 b 0 0
0 0 0 b a 0
0 0 0 b b 0
0 0 0 b c 0
0 0 0 c 0 0
0 0 0 c a 0
0 0 0 c b 0
0 0 0 c c 0
0 0 a 0 0 0
0 0 a 0 a 0
0 0 a 0 b 0
0 0 a 0 c 0
0 0 a a 0 0
0 0 a a a 0
0 0 a a b 0
0 0 a a c 0
0 0 a b 0 0
0 0 a b a 0
0 0 a b b 0
0 0 a b c 0
0 0 a c 0 0
0 0 a c a 0
0 0 a c b 0
0 0 a c c 0
0 0 b 0 0 0
0 0 b 0 a 0
0 0 b 0 b 0
0 0 b 0 c 0
0 0 b a 0 0
0 0 b a a 0
0 0 b a b 0
0 0 b a c 0
0 0 b b 0 0
0 0 b b a 0
0 0 b b b 0
0 0 b b c 0
0 0 b c 0 0
0 0 b c a 0
0 0 b c b 0
0 0 b c c 0
0 0 c 0 0 0
0 0 c 0 a 0
0 0 c 0 b 0
0 0 c 0 c 0
0 0 c a 0 0
0 0 c a a 0
0 0 c a b 0
0 0 c a c 0
0 0 c b 0 0
0 0 c b a 0
0 0 c b b 0
0 0 c b c 0
0 0 c c 0 0
0 0 c c a 0
0 0 c c b 0
0 0 c c c 0
Is it a nice code?: Yes
Generator Matrix-282
a a 0 0 0 a
b b 0 0 0 b
0 c 0 0 0 c
0 0 c 0 0 0
0 0 0 c 0 0
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 0
0 0 0 c c c
0 0 c 0 0 0
0 0 c 0 c c
0 0 c c 0 0
0 0 c c c c
0 c 0 0 0 c
0 c 0 0 c 0
0 c 0 c 0 c
0 c 0 c c 0
0 c c 0 0 c
0 c c 0 c 0
0 c c c 0 c
0 c c c c 0
b b 0 0 0 b
b b 0 0 c a
b b 0 c 0 b
b b 0 c c a
b b c 0 0 b
b b c 0 c a
b b c c 0 b
b b c c c a
b a 0 0 0 a
b a 0 0 c b
b a 0 c 0 a
b a 0 c c b
b a c 0 0 a
b a c 0 c b
b a c c 0 a
b a c c c b
a a 0 0 0 a
a a 0 0 c b
a a 0 c 0 a
a a 0 c c b
a a c 0 0 a
a a c 0 c b
a a c c 0 a
a a c c c b
a b 0 0 0 b
a b 0 0 c a
a b 0 c 0 b
a b 0 c c a
a b c 0 0 b
a b c 0 c a
a b c c 0 b
a b c c c a
c c 0 0 0 c
c c 0 0 c 0
c c 0 c 0 c
c c 0 c c 0
c c c 0 0 c
c c c 0 c 0
c c c c 0 c
c c c c c 0
c 0 0 0 0 0
c 0 0 0 c c
c 0 0 c 0 0
c 0 0 c c c
c 0 c 0 0 0
c 0 c 0 c c
c 0 c c 0 0
c 0 c c c c
dmin: 1
Weight Enumerator: 1x0 + 3x1 + 6x2 + 14x3 + 21x4 + 15x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_b)3 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 0 a 0 0
0 0 0 a a 0
0 0 0 a b 0
0 0 0 a c 0
0 0 0 b 0 0
0 0 0 b a 0
0 0 0 b b 0
0 0 0 b c 0
0 0 0 c 0 0
0 0 0 c a 0
0 0 0 c b 0
0 0 0 c c 0
0 0 a 0 0 0
0 0 a 0 a 0
0 0 a 0 b 0
0 0 a 0 c 0
0 0 a a 0 0
0 0 a a a 0
0 0 a a b 0
0 0 a a c 0
0 0 a b 0 0
0 0 a b a 0
0 0 a b b 0
0 0 a b c 0
0 0 a c 0 0
0 0 a c a 0
0 0 a c b 0
0 0 a c c 0
0 0 b 0 0 0
0 0 b 0 a 0
0 0 b 0 b 0
0 0 b 0 c 0
0 0 b a 0 0
0 0 b a a 0
0 0 b a b 0
0 0 b a c 0
0 0 b b 0 0
0 0 b b a 0
0 0 b b b 0
0 0 b b c 0
0 0 b c 0 0
0 0 b c a 0
0 0 b c b 0
0 0 b c c 0
0 0 c 0 0 0
0 0 c 0 a 0
0 0 c 0 b 0
0 0 c 0 c 0
0 0 c a 0 0
0 0 c a a 0
0 0 c a b 0
0 0 c a c 0
0 0 c b 0 0
0 0 c b a 0
0 0 c b b 0
0 0 c b c 0
0 0 c c 0 0
0 0 c c a 0
0 0 c c b 0
0 0 c c c 0
Is it a nice code?: Yes
Generator Matrix-283
a a 0 0 0 a
b b 0 0 0 b
0 c 0 0 0 c
0 0 c 0 0 0
0 0 0 c 0 c
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 c
0 0 0 c c c
0 0 c 0 0 0
0 0 c 0 c 0
0 0 c c 0 c
0 0 c c c c
0 c 0 0 0 c
0 c 0 0 c c
0 c 0 c 0 0
0 c 0 c c 0
0 c c 0 0 c
0 c c 0 c c
0 c c c 0 0
0 c c c c 0
b b 0 0 0 b
b b 0 0 c b
b b 0 c 0 a
b b 0 c c a
b b c 0 0 b
b b c 0 c b
b b c c 0 a
b b c c c a
b a 0 0 0 a
b a 0 0 c a
b a 0 c 0 b
b a 0 c c b
b a c 0 0 a
b a c 0 c a
b a c c 0 b
b a c c c b
a a 0 0 0 a
a a 0 0 c a
a a 0 c 0 b
a a 0 c c b
a a c 0 0 a
a a c 0 c a
a a c c 0 b
a a c c c b
a b 0 0 0 b
a b 0 0 c b
a b 0 c 0 a
a b 0 c c a
a b c 0 0 b
a b c 0 c b
a b c c 0 a
a b c c c a
c c 0 0 0 c
c c 0 0 c c
c c 0 c 0 0
c c 0 c c 0
c c c 0 0 c
c c c 0 c c
c c c c 0 0
c c c c c 0
c 0 0 0 0 0
c 0 0 0 c 0
c 0 0 c 0 c
c 0 0 c c c
c 0 c 0 0 0
c 0 c 0 c 0
c 0 c c 0 c
c 0 c c c c
dmin: 1
Weight Enumerator: 1x0 + 3x1 + 6x2 + 14x3 + 21x4 + 15x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_b)3 + (X_0)2 (X_b)3 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_b)3 (X_c)1 + (X_0)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)3 + (X_0)2 (X_a)3 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)3 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 0 a 0 0
0 0 0 a a 0
0 0 0 a b 0
0 0 0 a c 0
0 0 0 b 0 0
0 0 0 b a 0
0 0 0 b b 0
0 0 0 b c 0
0 0 0 c 0 0
0 0 0 c a 0
0 0 0 c b 0
0 0 0 c c 0
0 0 a 0 0 0
0 0 a 0 a 0
0 0 a 0 b 0
0 0 a 0 c 0
0 0 a a 0 0
0 0 a a a 0
0 0 a a b 0
0 0 a a c 0
0 0 a b 0 0
0 0 a b a 0
0 0 a b b 0
0 0 a b c 0
0 0 a c 0 0
0 0 a c a 0
0 0 a c b 0
0 0 a c c 0
0 0 b 0 0 0
0 0 b 0 a 0
0 0 b 0 b 0
0 0 b 0 c 0
0 0 b a 0 0
0 0 b a a 0
0 0 b a b 0
0 0 b a c 0
0 0 b b 0 0
0 0 b b a 0
0 0 b b b 0
0 0 b b c 0
0 0 b c 0 0
0 0 b c a 0
0 0 b c b 0
0 0 b c c 0
0 0 c 0 0 0
0 0 c 0 a 0
0 0 c 0 b 0
0 0 c 0 c 0
0 0 c a 0 0
0 0 c a a 0
0 0 c a b 0
0 0 c a c 0
0 0 c b 0 0
0 0 c b a 0
0 0 c b b 0
0 0 c b c 0
0 0 c c 0 0
0 0 c c a 0
0 0 c c b 0
0 0 c c c 0
Is it a nice code?: Yes
Generator Matrix-284
a a 0 0 0 a
b b 0 0 0 b
0 c 0 0 0 c
0 0 c 0 0 0
0 0 0 c 0 c
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 c
0 0 0 c c 0
0 0 c 0 0 0
0 0 c 0 c c
0 0 c c 0 c
0 0 c c c 0
0 c 0 0 0 c
0 c 0 0 c 0
0 c 0 c 0 0
0 c 0 c c c
0 c c 0 0 c
0 c c 0 c 0
0 c c c 0 0
0 c c c c c
b b 0 0 0 b
b b 0 0 c a
b b 0 c 0 a
b b 0 c c b
b b c 0 0 b
b b c 0 c a
b b c c 0 a
b b c c c b
b a 0 0 0 a
b a 0 0 c b
b a 0 c 0 b
b a 0 c c a
b a c 0 0 a
b a c 0 c b
b a c c 0 b
b a c c c a
a a 0 0 0 a
a a 0 0 c b
a a 0 c 0 b
a a 0 c c a
a a c 0 0 a
a a c 0 c b
a a c c 0 b
a a c c c a
a b 0 0 0 b
a b 0 0 c a
a b 0 c 0 a
a b 0 c c b
a b c 0 0 b
a b c 0 c a
a b c c 0 a
a b c c c b
c c 0 0 0 c
c c 0 0 c 0
c c 0 c 0 0
c c 0 c c c
c c c 0 0 c
c c c 0 c 0
c c c c 0 0
c c c c c c
c 0 0 0 0 0
c 0 0 0 c c
c 0 0 c 0 c
c 0 0 c c 0
c 0 c 0 0 0
c 0 c 0 c c
c 0 c c 0 c
c 0 c c c 0
dmin: 1
Weight Enumerator: 1x0 + 2x1 + 7x2 + 16x3 + 19x4 + 14x5 + 5x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_b)3 (X_c)2 + (X_0)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_b)3 (X_c)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_0)2 (X_a)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)3 (X_c)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_c)6 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 0 a 0 0
0 0 0 a a 0
0 0 0 a b 0
0 0 0 a c 0
0 0 0 b 0 0
0 0 0 b a 0
0 0 0 b b 0
0 0 0 b c 0
0 0 0 c 0 0
0 0 0 c a 0
0 0 0 c b 0
0 0 0 c c 0
0 0 a 0 0 0
0 0 a 0 a 0
0 0 a 0 b 0
0 0 a 0 c 0
0 0 a a 0 0
0 0 a a a 0
0 0 a a b 0
0 0 a a c 0
0 0 a b 0 0
0 0 a b a 0
0 0 a b b 0
0 0 a b c 0
0 0 a c 0 0
0 0 a c a 0
0 0 a c b 0
0 0 a c c 0
0 0 b 0 0 0
0 0 b 0 a 0
0 0 b 0 b 0
0 0 b 0 c 0
0 0 b a 0 0
0 0 b a a 0
0 0 b a b 0
0 0 b a c 0
0 0 b b 0 0
0 0 b b a 0
0 0 b b b 0
0 0 b b c 0
0 0 b c 0 0
0 0 b c a 0
0 0 b c b 0
0 0 b c c 0
0 0 c 0 0 0
0 0 c 0 a 0
0 0 c 0 b 0
0 0 c 0 c 0
0 0 c a 0 0
0 0 c a a 0
0 0 c a b 0
0 0 c a c 0
0 0 c b 0 0
0 0 c b a 0
0 0 c b b 0
0 0 c b c 0
0 0 c c 0 0
0 0 c c a 0
0 0 c c b 0
0 0 c c c 0
Is it a nice code?: Yes
Generator Matrix-285
a a 0 0 0 a
b b 0 0 0 b
0 c 0 0 0 c
0 0 c 0 0 c
0 0 0 c 0 0
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 0
0 0 0 c c 0
0 0 c 0 0 c
0 0 c 0 c c
0 0 c c 0 c
0 0 c c c c
0 c 0 0 0 c
0 c 0 0 c c
0 c 0 c 0 c
0 c 0 c c c
0 c c 0 0 0
0 c c 0 c 0
0 c c c 0 0
0 c c c c 0
b b 0 0 0 b
b b 0 0 c b
b b 0 c 0 b
b b 0 c c b
b b c 0 0 a
b b c 0 c a
b b c c 0 a
b b c c c a
b a 0 0 0 a
b a 0 0 c a
b a 0 c 0 a
b a 0 c c a
b a c 0 0 b
b a c 0 c b
b a c c 0 b
b a c c c b
a a 0 0 0 a
a a 0 0 c a
a a 0 c 0 a
a a 0 c c a
a a c 0 0 b
a a c 0 c b
a a c c 0 b
a a c c c b
a b 0 0 0 b
a b 0 0 c b
a b 0 c 0 b
a b 0 c c b
a b c 0 0 a
a b c 0 c a
a b c c 0 a
a b c c c a
c c 0 0 0 c
c c 0 0 c c
c c 0 c 0 c
c c 0 c c c
c c c 0 0 0
c c c 0 c 0
c c c c 0 0
c c c c c 0
c 0 0 0 0 0
c 0 0 0 c 0
c 0 0 c 0 0
c 0 0 c c 0
c 0 c 0 0 c
c 0 c 0 c c
c 0 c c 0 c
c 0 c c c c
dmin: 1
Weight Enumerator: 1x0 + 3x1 + 6x2 + 14x3 + 21x4 + 15x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_b)3 + (X_0)2 (X_b)3 (X_c)1 + (X_0)2 (X_b)3 (X_c)1 + (X_0)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)3 + (X_0)2 (X_a)3 (X_c)1 + (X_0)2 (X_a)3 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 0 a 0 0
0 0 0 a a 0
0 0 0 a b 0
0 0 0 a c 0
0 0 0 b 0 0
0 0 0 b a 0
0 0 0 b b 0
0 0 0 b c 0
0 0 0 c 0 0
0 0 0 c a 0
0 0 0 c b 0
0 0 0 c c 0
0 0 a 0 0 0
0 0 a 0 a 0
0 0 a 0 b 0
0 0 a 0 c 0
0 0 a a 0 0
0 0 a a a 0
0 0 a a b 0
0 0 a a c 0
0 0 a b 0 0
0 0 a b a 0
0 0 a b b 0
0 0 a b c 0
0 0 a c 0 0
0 0 a c a 0
0 0 a c b 0
0 0 a c c 0
0 0 b 0 0 0
0 0 b 0 a 0
0 0 b 0 b 0
0 0 b 0 c 0
0 0 b a 0 0
0 0 b a a 0
0 0 b a b 0
0 0 b a c 0
0 0 b b 0 0
0 0 b b a 0
0 0 b b b 0
0 0 b b c 0
0 0 b c 0 0
0 0 b c a 0
0 0 b c b 0
0 0 b c c 0
0 0 c 0 0 0
0 0 c 0 a 0
0 0 c 0 b 0
0 0 c 0 c 0
0 0 c a 0 0
0 0 c a a 0
0 0 c a b 0
0 0 c a c 0
0 0 c b 0 0
0 0 c b a 0
0 0 c b b 0
0 0 c b c 0
0 0 c c 0 0
0 0 c c a 0
0 0 c c b 0
0 0 c c c 0
Is it a nice code?: Yes
Generator Matrix-286
a a 0 0 0 a
b b 0 0 0 b
0 c 0 0 0 c
0 0 c 0 0 c
0 0 0 c 0 0
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 0
0 0 0 c c c
0 0 c 0 0 c
0 0 c 0 c 0
0 0 c c 0 c
0 0 c c c 0
0 c 0 0 0 c
0 c 0 0 c 0
0 c 0 c 0 c
0 c 0 c c 0
0 c c 0 0 0
0 c c 0 c c
0 c c c 0 0
0 c c c c c
b b 0 0 0 b
b b 0 0 c a
b b 0 c 0 b
b b 0 c c a
b b c 0 0 a
b b c 0 c b
b b c c 0 a
b b c c c b
b a 0 0 0 a
b a 0 0 c b
b a 0 c 0 a
b a 0 c c b
b a c 0 0 b
b a c 0 c a
b a c c 0 b
b a c c c a
a a 0 0 0 a
a a 0 0 c b
a a 0 c 0 a
a a 0 c c b
a a c 0 0 b
a a c 0 c a
a a c c 0 b
a a c c c a
a b 0 0 0 b
a b 0 0 c a
a b 0 c 0 b
a b 0 c c a
a b c 0 0 a
a b c 0 c b
a b c c 0 a
a b c c c b
c c 0 0 0 c
c c 0 0 c 0
c c 0 c 0 c
c c 0 c c 0
c c c 0 0 0
c c c 0 c c
c c c c 0 0
c c c c c c
c 0 0 0 0 0
c 0 0 0 c c
c 0 0 c 0 0
c 0 0 c c c
c 0 c 0 0 c
c 0 c 0 c 0
c 0 c c 0 c
c 0 c c c 0
dmin: 1
Weight Enumerator: 1x0 + 2x1 + 7x2 + 16x3 + 19x4 + 14x5 + 5x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_b)3 (X_c)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)3 (X_c)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_c)6 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 0 a 0 0
0 0 0 a a 0
0 0 0 a b 0
0 0 0 a c 0
0 0 0 b 0 0
0 0 0 b a 0
0 0 0 b b 0
0 0 0 b c 0
0 0 0 c 0 0
0 0 0 c a 0
0 0 0 c b 0
0 0 0 c c 0
0 0 a 0 0 0
0 0 a 0 a 0
0 0 a 0 b 0
0 0 a 0 c 0
0 0 a a 0 0
0 0 a a a 0
0 0 a a b 0
0 0 a a c 0
0 0 a b 0 0
0 0 a b a 0
0 0 a b b 0
0 0 a b c 0
0 0 a c 0 0
0 0 a c a 0
0 0 a c b 0
0 0 a c c 0
0 0 b 0 0 0
0 0 b 0 a 0
0 0 b 0 b 0
0 0 b 0 c 0
0 0 b a 0 0
0 0 b a a 0
0 0 b a b 0
0 0 b a c 0
0 0 b b 0 0
0 0 b b a 0
0 0 b b b 0
0 0 b b c 0
0 0 b c 0 0
0 0 b c a 0
0 0 b c b 0
0 0 b c c 0
0 0 c 0 0 0
0 0 c 0 a 0
0 0 c 0 b 0
0 0 c 0 c 0
0 0 c a 0 0
0 0 c a a 0
0 0 c a b 0
0 0 c a c 0
0 0 c b 0 0
0 0 c b a 0
0 0 c b b 0
0 0 c b c 0
0 0 c c 0 0
0 0 c c a 0
0 0 c c b 0
0 0 c c c 0
Is it a nice code?: Yes
Generator Matrix-287
a a 0 0 0 a
b b 0 0 0 b
0 c 0 0 0 c
0 0 c 0 0 c
0 0 0 c 0 c
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 c
0 0 0 c c c
0 0 c 0 0 c
0 0 c 0 c c
0 0 c c 0 0
0 0 c c c 0
0 c 0 0 0 c
0 c 0 0 c c
0 c 0 c 0 0
0 c 0 c c 0
0 c c 0 0 0
0 c c 0 c 0
0 c c c 0 c
0 c c c c c
b b 0 0 0 b
b b 0 0 c b
b b 0 c 0 a
b b 0 c c a
b b c 0 0 a
b b c 0 c a
b b c c 0 b
b b c c c b
b a 0 0 0 a
b a 0 0 c a
b a 0 c 0 b
b a 0 c c b
b a c 0 0 b
b a c 0 c b
b a c c 0 a
b a c c c a
a a 0 0 0 a
a a 0 0 c a
a a 0 c 0 b
a a 0 c c b
a a c 0 0 b
a a c 0 c b
a a c c 0 a
a a c c c a
a b 0 0 0 b
a b 0 0 c b
a b 0 c 0 a
a b 0 c c a
a b c 0 0 a
a b c 0 c a
a b c c 0 b
a b c c c b
c c 0 0 0 c
c c 0 0 c c
c c 0 c 0 0
c c 0 c c 0
c c c 0 0 0
c c c 0 c 0
c c c c 0 c
c c c c c c
c 0 0 0 0 0
c 0 0 0 c 0
c 0 0 c 0 c
c 0 0 c c c
c 0 c 0 0 c
c 0 c 0 c c
c 0 c c 0 0
c 0 c c c 0
dmin: 1
Weight Enumerator: 1x0 + 2x1 + 7x2 + 16x3 + 19x4 + 14x5 + 5x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)3 (X_b)3 + (X_0)2 (X_b)3 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_b)3 (X_c)2 + (X_b)3 (X_c)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_a)3 + (X_0)2 (X_a)3 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_c)2 + (X_a)3 (X_c)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_c)6 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 0 a 0 0
0 0 0 a a 0
0 0 0 a b 0
0 0 0 a c 0
0 0 0 b 0 0
0 0 0 b a 0
0 0 0 b b 0
0 0 0 b c 0
0 0 0 c 0 0
0 0 0 c a 0
0 0 0 c b 0
0 0 0 c c 0
0 0 a 0 0 0
0 0 a 0 a 0
0 0 a 0 b 0
0 0 a 0 c 0
0 0 a a 0 0
0 0 a a a 0
0 0 a a b 0
0 0 a a c 0
0 0 a b 0 0
0 0 a b a 0
0 0 a b b 0
0 0 a b c 0
0 0 a c 0 0
0 0 a c a 0
0 0 a c b 0
0 0 a c c 0
0 0 b 0 0 0
0 0 b 0 a 0
0 0 b 0 b 0
0 0 b 0 c 0
0 0 b a 0 0
0 0 b a a 0
0 0 b a b 0
0 0 b a c 0
0 0 b b 0 0
0 0 b b a 0
0 0 b b b 0
0 0 b b c 0
0 0 b c 0 0
0 0 b c a 0
0 0 b c b 0
0 0 b c c 0
0 0 c 0 0 0
0 0 c 0 a 0
0 0 c 0 b 0
0 0 c 0 c 0
0 0 c a 0 0
0 0 c a a 0
0 0 c a b 0
0 0 c a c 0
0 0 c b 0 0
0 0 c b a 0
0 0 c b b 0
0 0 c b c 0
0 0 c c 0 0
0 0 c c a 0
0 0 c c b 0
0 0 c c c 0
Is it a nice code?: Yes
Generator Matrix-288
a a 0 0 0 a
b b 0 0 0 b
0 c 0 0 0 c
0 0 c 0 0 c
0 0 0 c 0 c
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 c
0 0 0 c c 0
0 0 c 0 0 c
0 0 c 0 c 0
0 0 c c 0 0
0 0 c c c c
0 c 0 0 0 c
0 c 0 0 c 0
0 c 0 c 0 0
0 c 0 c c c
0 c c 0 0 0
0 c c 0 c c
0 c c c 0 c
0 c c c c 0
b b 0 0 0 b
b b 0 0 c a
b b 0 c 0 a
b b 0 c c b
b b c 0 0 a
b b c 0 c b
b b c c 0 b
b b c c c a
b a 0 0 0 a
b a 0 0 c b
b a 0 c 0 b
b a 0 c c a
b a c 0 0 b
b a c 0 c a
b a c c 0 a
b a c c c b
a a 0 0 0 a
a a 0 0 c b
a a 0 c 0 b
a a 0 c c a
a a c 0 0 b
a a c 0 c a
a a c c 0 a
a a c c c b
a b 0 0 0 b
a b 0 0 c a
a b 0 c 0 a
a b 0 c c b
a b c 0 0 a
a b c 0 c b
a b c c 0 b
a b c c c a
c c 0 0 0 c
c c 0 0 c 0
c c 0 c 0 0
c c 0 c c c
c c c 0 0 0
c c c 0 c c
c c c c 0 c
c c c c c 0
c 0 0 0 0 0
c 0 0 0 c c
c 0 0 c 0 c
c 0 0 c c 0
c 0 c 0 0 c
c 0 c 0 c 0
c 0 c c 0 0
c 0 c c c c
dmin: 1
Weight Enumerator: 1x0 + 1x1 + 10x2 + 14x3 + 17x4 + 17x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_b)3 (X_c)2 + (X_0)1 (X_b)3 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)3 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 0 a 0 0
0 0 0 a a 0
0 0 0 a b 0
0 0 0 a c 0
0 0 0 b 0 0
0 0 0 b a 0
0 0 0 b b 0
0 0 0 b c 0
0 0 0 c 0 0
0 0 0 c a 0
0 0 0 c b 0
0 0 0 c c 0
0 0 a 0 0 0
0 0 a 0 a 0
0 0 a 0 b 0
0 0 a 0 c 0
0 0 a a 0 0
0 0 a a a 0
0 0 a a b 0
0 0 a a c 0
0 0 a b 0 0
0 0 a b a 0
0 0 a b b 0
0 0 a b c 0
0 0 a c 0 0
0 0 a c a 0
0 0 a c b 0
0 0 a c c 0
0 0 b 0 0 0
0 0 b 0 a 0
0 0 b 0 b 0
0 0 b 0 c 0
0 0 b a 0 0
0 0 b a a 0
0 0 b a b 0
0 0 b a c 0
0 0 b b 0 0
0 0 b b a 0
0 0 b b b 0
0 0 b b c 0
0 0 b c 0 0
0 0 b c a 0
0 0 b c b 0
0 0 b c c 0
0 0 c 0 0 0
0 0 c 0 a 0
0 0 c 0 b 0
0 0 c 0 c 0
0 0 c a 0 0
0 0 c a a 0
0 0 c a b 0
0 0 c a c 0
0 0 c b 0 0
0 0 c b a 0
0 0 c b b 0
0 0 c b c 0
0 0 c c 0 0
0 0 c c a 0
0 0 c c b 0
0 0 c c c 0
Is it a nice code?: Yes
Generator Matrix-289
a a 0 0 a 0
b b 0 0 b 0
0 c 0 0 0 0
0 0 c 0 0 0
0 0 0 c 0 0
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 0
0 0 0 c c 0
0 0 c 0 0 0
0 0 c 0 c 0
0 0 c c 0 0
0 0 c c c 0
0 c 0 0 0 0
0 c 0 0 c 0
0 c 0 c 0 0
0 c 0 c c 0
0 c c 0 0 0
0 c c 0 c 0
0 c c c 0 0
0 c c c c 0
b b 0 0 b 0
b b 0 0 a 0
b b 0 c b 0
b b 0 c a 0
b b c 0 b 0
b b c 0 a 0
b b c c b 0
b b c c a 0
b a 0 0 b 0
b a 0 0 a 0
b a 0 c b 0
b a 0 c a 0
b a c 0 b 0
b a c 0 a 0
b a c c b 0
b a c c a 0
a a 0 0 a 0
a a 0 0 b 0
a a 0 c a 0
a a 0 c b 0
a a c 0 a 0
a a c 0 b 0
a a c c a 0
a a c c b 0
a b 0 0 a 0
a b 0 0 b 0
a b 0 c a 0
a b 0 c b 0
a b c 0 a 0
a b c 0 b 0
a b c c a 0
a b c c b 0
c c 0 0 c 0
c c 0 0 0 0
c c 0 c c 0
c c 0 c 0 0
c c c 0 c 0
c c c 0 0 0
c c c c c 0
c c c c 0 0
c 0 0 0 c 0
c 0 0 0 0 0
c 0 0 c c 0
c 0 0 c 0 0
c 0 c 0 c 0
c 0 c 0 0 0
c 0 c c c 0
c 0 c c 0 0
dmin: 1
Weight Enumerator: 1x0 + 5x1 + 10x2 + 18x3 + 21x4 + 9x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_b)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)2 (X_b)3 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_b)3 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)1 (X_b)2 + (X_0)3 (X_a)2 (X_b)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)2 (X_a)3 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)3 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)2 (X_b)1 + (X_0)3 (X_a)1 (X_b)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 a a 0 0
0 0 a a 0 a
0 0 a a 0 b
0 0 a a 0 c
0 0 a b 0 0
0 0 a b 0 a
0 0 a b 0 b
0 0 a b 0 c
0 0 a c 0 0
0 0 a c 0 a
0 0 a c 0 b
0 0 a c 0 c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 b a 0 0
0 0 b a 0 a
0 0 b a 0 b
0 0 b a 0 c
0 0 b b 0 0
0 0 b b 0 a
0 0 b b 0 b
0 0 b b 0 c
0 0 b c 0 0
0 0 b c 0 a
0 0 b c 0 b
0 0 b c 0 c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c
0 0 c a 0 0
0 0 c a 0 a
0 0 c a 0 b
0 0 c a 0 c
0 0 c b 0 0
0 0 c b 0 a
0 0 c b 0 b
0 0 c b 0 c
0 0 c c 0 0
0 0 c c 0 a
0 0 c c 0 b
0 0 c c 0 c
Is it a nice code?: Yes
Generator Matrix-290
a a 0 0 a 0
b b 0 0 b 0
0 c 0 0 0 0
0 0 c 0 0 0
0 0 0 c 0 0
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 0
0 0 0 c c c
0 0 c 0 0 0
0 0 c 0 c c
0 0 c c 0 0
0 0 c c c c
0 c 0 0 0 0
0 c 0 0 c c
0 c 0 c 0 0
0 c 0 c c c
0 c c 0 0 0
0 c c 0 c c
0 c c c 0 0
0 c c c c c
b b 0 0 b 0
b b 0 0 a c
b b 0 c b 0
b b 0 c a c
b b c 0 b 0
b b c 0 a c
b b c c b 0
b b c c a c
b a 0 0 b 0
b a 0 0 a c
b a 0 c b 0
b a 0 c a c
b a c 0 b 0
b a c 0 a c
b a c c b 0
b a c c a c
a a 0 0 a 0
a a 0 0 b c
a a 0 c a 0
a a 0 c b c
a a c 0 a 0
a a c 0 b c
a a c c a 0
a a c c b c
a b 0 0 a 0
a b 0 0 b c
a b 0 c a 0
a b 0 c b c
a b c 0 a 0
a b c 0 b c
a b c c a 0
a b c c b c
c c 0 0 c 0
c c 0 0 0 c
c c 0 c c 0
c c 0 c 0 c
c c c 0 c 0
c c c 0 0 c
c c c c c 0
c c c c 0 c
c 0 0 0 c 0
c 0 0 0 0 c
c 0 0 c c 0
c 0 0 c 0 c
c 0 c 0 c 0
c 0 c 0 0 c
c 0 c c c 0
c 0 c c 0 c
dmin: 1
Weight Enumerator: 1x0 + 3x1 + 6x2 + 14x3 + 21x4 + 15x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_b)3 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 a a 0 0
0 0 a a 0 a
0 0 a a 0 b
0 0 a a 0 c
0 0 a b 0 0
0 0 a b 0 a
0 0 a b 0 b
0 0 a b 0 c
0 0 a c 0 0
0 0 a c 0 a
0 0 a c 0 b
0 0 a c 0 c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 b a 0 0
0 0 b a 0 a
0 0 b a 0 b
0 0 b a 0 c
0 0 b b 0 0
0 0 b b 0 a
0 0 b b 0 b
0 0 b b 0 c
0 0 b c 0 0
0 0 b c 0 a
0 0 b c 0 b
0 0 b c 0 c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c
0 0 c a 0 0
0 0 c a 0 a
0 0 c a 0 b
0 0 c a 0 c
0 0 c b 0 0
0 0 c b 0 a
0 0 c b 0 b
0 0 c b 0 c
0 0 c c 0 0
0 0 c c 0 a
0 0 c c 0 b
0 0 c c 0 c
Is it a nice code?: Yes
Generator Matrix-291
a a 0 0 a 0
b b 0 0 b 0
0 c 0 0 0 0
0 0 c 0 0 0
0 0 0 c 0 c
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 c
0 0 0 c c c
0 0 c 0 0 0
0 0 c 0 c 0
0 0 c c 0 c
0 0 c c c c
0 c 0 0 0 0
0 c 0 0 c 0
0 c 0 c 0 c
0 c 0 c c c
0 c c 0 0 0
0 c c 0 c 0
0 c c c 0 c
0 c c c c c
b b 0 0 b 0
b b 0 0 a 0
b b 0 c b c
b b 0 c a c
b b c 0 b 0
b b c 0 a 0
b b c c b c
b b c c a c
b a 0 0 b 0
b a 0 0 a 0
b a 0 c b c
b a 0 c a c
b a c 0 b 0
b a c 0 a 0
b a c c b c
b a c c a c
a a 0 0 a 0
a a 0 0 b 0
a a 0 c a c
a a 0 c b c
a a c 0 a 0
a a c 0 b 0
a a c c a c
a a c c b c
a b 0 0 a 0
a b 0 0 b 0
a b 0 c a c
a b 0 c b c
a b c 0 a 0
a b c 0 b 0
a b c c a c
a b c c b c
c c 0 0 c 0
c c 0 0 0 0
c c 0 c c c
c c 0 c 0 c
c c c 0 c 0
c c c 0 0 0
c c c c c c
c c c c 0 c
c 0 0 0 c 0
c 0 0 0 0 0
c 0 0 c c c
c 0 0 c 0 c
c 0 c 0 c 0
c 0 c 0 0 0
c 0 c c c c
c 0 c c 0 c
dmin: 1
Weight Enumerator: 1x0 + 4x1 + 7x2 + 16x3 + 15x4 + 12x5 + 9x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)3 (X_b)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_b)3 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_b)3 (X_c)3 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)3 (X_a)2 (X_b)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_a)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)3 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)3 (X_c)3 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)3 (X_a)1 (X_b)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_c)6 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 a a 0 0
0 0 a a 0 a
0 0 a a 0 b
0 0 a a 0 c
0 0 a b 0 0
0 0 a b 0 a
0 0 a b 0 b
0 0 a b 0 c
0 0 a c 0 0
0 0 a c 0 a
0 0 a c 0 b
0 0 a c 0 c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 b a 0 0
0 0 b a 0 a
0 0 b a 0 b
0 0 b a 0 c
0 0 b b 0 0
0 0 b b 0 a
0 0 b b 0 b
0 0 b b 0 c
0 0 b c 0 0
0 0 b c 0 a
0 0 b c 0 b
0 0 b c 0 c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c
0 0 c a 0 0
0 0 c a 0 a
0 0 c a 0 b
0 0 c a 0 c
0 0 c b 0 0
0 0 c b 0 a
0 0 c b 0 b
0 0 c b 0 c
0 0 c c 0 0
0 0 c c 0 a
0 0 c c 0 b
0 0 c c 0 c
Is it a nice code?: Yes
Generator Matrix-292
a a 0 0 a 0
b b 0 0 b 0
0 c 0 0 0 0
0 0 c 0 0 0
0 0 0 c 0 c
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 c
0 0 0 c c 0
0 0 c 0 0 0
0 0 c 0 c c
0 0 c c 0 c
0 0 c c c 0
0 c 0 0 0 0
0 c 0 0 c c
0 c 0 c 0 c
0 c 0 c c 0
0 c c 0 0 0
0 c c 0 c c
0 c c c 0 c
0 c c c c 0
b b 0 0 b 0
b b 0 0 a c
b b 0 c b c
b b 0 c a 0
b b c 0 b 0
b b c 0 a c
b b c c b c
b b c c a 0
b a 0 0 b 0
b a 0 0 a c
b a 0 c b c
b a 0 c a 0
b a c 0 b 0
b a c 0 a c
b a c c b c
b a c c a 0
a a 0 0 a 0
a a 0 0 b c
a a 0 c a c
a a 0 c b 0
a a c 0 a 0
a a c 0 b c
a a c c a c
a a c c b 0
a b 0 0 a 0
a b 0 0 b c
a b 0 c a c
a b 0 c b 0
a b c 0 a 0
a b c 0 b c
a b c c a c
a b c c b 0
c c 0 0 c 0
c c 0 0 0 c
c c 0 c c c
c c 0 c 0 0
c c c 0 c 0
c c c 0 0 c
c c c c c c
c c c c 0 0
c 0 0 0 c 0
c 0 0 0 0 c
c 0 0 c c c
c 0 0 c 0 0
c 0 c 0 c 0
c 0 c 0 0 c
c 0 c c c c
c 0 c c 0 0
dmin: 1
Weight Enumerator: 1x0 + 2x1 + 7x2 + 16x3 + 19x4 + 14x5 + 5x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_b)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)1 (X_b)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)2 (X_b)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_c)6 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 a a 0 0
0 0 a a 0 a
0 0 a a 0 b
0 0 a a 0 c
0 0 a b 0 0
0 0 a b 0 a
0 0 a b 0 b
0 0 a b 0 c
0 0 a c 0 0
0 0 a c 0 a
0 0 a c 0 b
0 0 a c 0 c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 b a 0 0
0 0 b a 0 a
0 0 b a 0 b
0 0 b a 0 c
0 0 b b 0 0
0 0 b b 0 a
0 0 b b 0 b
0 0 b b 0 c
0 0 b c 0 0
0 0 b c 0 a
0 0 b c 0 b
0 0 b c 0 c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c
0 0 c a 0 0
0 0 c a 0 a
0 0 c a 0 b
0 0 c a 0 c
0 0 c b 0 0
0 0 c b 0 a
0 0 c b 0 b
0 0 c b 0 c
0 0 c c 0 0
0 0 c c 0 a
0 0 c c 0 b
0 0 c c 0 c
Is it a nice code?: Yes
Generator Matrix-293
a a 0 0 a 0
b b 0 0 b 0
0 c 0 0 0 0
0 0 c 0 0 c
0 0 0 c 0 0
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 0
0 0 0 c c 0
0 0 c 0 0 c
0 0 c 0 c c
0 0 c c 0 c
0 0 c c c c
0 c 0 0 0 0
0 c 0 0 c 0
0 c 0 c 0 0
0 c 0 c c 0
0 c c 0 0 c
0 c c 0 c c
0 c c c 0 c
0 c c c c c
b b 0 0 b 0
b b 0 0 a 0
b b 0 c b 0
b b 0 c a 0
b b c 0 b c
b b c 0 a c
b b c c b c
b b c c a c
b a 0 0 b 0
b a 0 0 a 0
b a 0 c b 0
b a 0 c a 0
b a c 0 b c
b a c 0 a c
b a c c b c
b a c c a c
a a 0 0 a 0
a a 0 0 b 0
a a 0 c a 0
a a 0 c b 0
a a c 0 a c
a a c 0 b c
a a c c a c
a a c c b c
a b 0 0 a 0
a b 0 0 b 0
a b 0 c a 0
a b 0 c b 0
a b c 0 a c
a b c 0 b c
a b c c a c
a b c c b c
c c 0 0 c 0
c c 0 0 0 0
c c 0 c c 0
c c 0 c 0 0
c c c 0 c c
c c c 0 0 c
c c c c c c
c c c c 0 c
c 0 0 0 c 0
c 0 0 0 0 0
c 0 0 c c 0
c 0 0 c 0 0
c 0 c 0 c c
c 0 c 0 0 c
c 0 c c c c
c 0 c c 0 c
dmin: 1
Weight Enumerator: 1x0 + 4x1 + 7x2 + 16x3 + 15x4 + 12x5 + 9x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)3 (X_b)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)2 (X_b)3 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_b)3 (X_c)3 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)3 (X_a)2 (X_b)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_a)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)2 (X_a)3 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)3 (X_c)3 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)3 (X_a)1 (X_b)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_c)6 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 a a 0 0
0 0 a a 0 a
0 0 a a 0 b
0 0 a a 0 c
0 0 a b 0 0
0 0 a b 0 a
0 0 a b 0 b
0 0 a b 0 c
0 0 a c 0 0
0 0 a c 0 a
0 0 a c 0 b
0 0 a c 0 c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 b a 0 0
0 0 b a 0 a
0 0 b a 0 b
0 0 b a 0 c
0 0 b b 0 0
0 0 b b 0 a
0 0 b b 0 b
0 0 b b 0 c
0 0 b c 0 0
0 0 b c 0 a
0 0 b c 0 b
0 0 b c 0 c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c
0 0 c a 0 0
0 0 c a 0 a
0 0 c a 0 b
0 0 c a 0 c
0 0 c b 0 0
0 0 c b 0 a
0 0 c b 0 b
0 0 c b 0 c
0 0 c c 0 0
0 0 c c 0 a
0 0 c c 0 b
0 0 c c 0 c
Is it a nice code?: Yes
Generator Matrix-294
a a 0 0 a 0
b b 0 0 b 0
0 c 0 0 0 0
0 0 c 0 0 c
0 0 0 c 0 0
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 0
0 0 0 c c c
0 0 c 0 0 c
0 0 c 0 c 0
0 0 c c 0 c
0 0 c c c 0
0 c 0 0 0 0
0 c 0 0 c c
0 c 0 c 0 0
0 c 0 c c c
0 c c 0 0 c
0 c c 0 c 0
0 c c c 0 c
0 c c c c 0
b b 0 0 b 0
b b 0 0 a c
b b 0 c b 0
b b 0 c a c
b b c 0 b c
b b c 0 a 0
b b c c b c
b b c c a 0
b a 0 0 b 0
b a 0 0 a c
b a 0 c b 0
b a 0 c a c
b a c 0 b c
b a c 0 a 0
b a c c b c
b a c c a 0
a a 0 0 a 0
a a 0 0 b c
a a 0 c a 0
a a 0 c b c
a a c 0 a c
a a c 0 b 0
a a c c a c
a a c c b 0
a b 0 0 a 0
a b 0 0 b c
a b 0 c a 0
a b 0 c b c
a b c 0 a c
a b c 0 b 0
a b c c a c
a b c c b 0
c c 0 0 c 0
c c 0 0 0 c
c c 0 c c 0
c c 0 c 0 c
c c c 0 c c
c c c 0 0 0
c c c c c c
c c c c 0 0
c 0 0 0 c 0
c 0 0 0 0 c
c 0 0 c c 0
c 0 0 c 0 c
c 0 c 0 c c
c 0 c 0 0 0
c 0 c c c c
c 0 c c 0 0
dmin: 1
Weight Enumerator: 1x0 + 2x1 + 7x2 + 16x3 + 19x4 + 14x5 + 5x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_b)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)1 (X_b)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)2 (X_b)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_c)6 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 a a 0 0
0 0 a a 0 a
0 0 a a 0 b
0 0 a a 0 c
0 0 a b 0 0
0 0 a b 0 a
0 0 a b 0 b
0 0 a b 0 c
0 0 a c 0 0
0 0 a c 0 a
0 0 a c 0 b
0 0 a c 0 c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 b a 0 0
0 0 b a 0 a
0 0 b a 0 b
0 0 b a 0 c
0 0 b b 0 0
0 0 b b 0 a
0 0 b b 0 b
0 0 b b 0 c
0 0 b c 0 0
0 0 b c 0 a
0 0 b c 0 b
0 0 b c 0 c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c
0 0 c a 0 0
0 0 c a 0 a
0 0 c a 0 b
0 0 c a 0 c
0 0 c b 0 0
0 0 c b 0 a
0 0 c b 0 b
0 0 c b 0 c
0 0 c c 0 0
0 0 c c 0 a
0 0 c c 0 b
0 0 c c 0 c
Is it a nice code?: Yes
Generator Matrix-295
a a 0 0 a 0
b b 0 0 b 0
0 c 0 0 0 0
0 0 c 0 0 c
0 0 0 c 0 c
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 c
0 0 0 c c c
0 0 c 0 0 c
0 0 c 0 c c
0 0 c c 0 0
0 0 c c c 0
0 c 0 0 0 0
0 c 0 0 c 0
0 c 0 c 0 c
0 c 0 c c c
0 c c 0 0 c
0 c c 0 c c
0 c c c 0 0
0 c c c c 0
b b 0 0 b 0
b b 0 0 a 0
b b 0 c b c
b b 0 c a c
b b c 0 b c
b b c 0 a c
b b c c b 0
b b c c a 0
b a 0 0 b 0
b a 0 0 a 0
b a 0 c b c
b a 0 c a c
b a c 0 b c
b a c 0 a c
b a c c b 0
b a c c a 0
a a 0 0 a 0
a a 0 0 b 0
a a 0 c a c
a a 0 c b c
a a c 0 a c
a a c 0 b c
a a c c a 0
a a c c b 0
a b 0 0 a 0
a b 0 0 b 0
a b 0 c a c
a b 0 c b c
a b c 0 a c
a b c 0 b c
a b c c a 0
a b c c b 0
c c 0 0 c 0
c c 0 0 0 0
c c 0 c c c
c c 0 c 0 c
c c c 0 c c
c c c 0 0 c
c c c c c 0
c c c c 0 0
c 0 0 0 c 0
c 0 0 0 0 0
c 0 0 c c c
c 0 0 c 0 c
c 0 c 0 c c
c 0 c 0 0 c
c 0 c c c 0
c 0 c c 0 0
dmin: 1
Weight Enumerator: 1x0 + 3x1 + 6x2 + 18x3 + 9x4 + 27x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_b)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)1 (X_b)2 + (X_0)3 (X_a)2 (X_b)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)2 (X_b)1 + (X_0)3 (X_a)1 (X_b)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 a a 0 0
0 0 a a 0 a
0 0 a a 0 b
0 0 a a 0 c
0 0 a b 0 0
0 0 a b 0 a
0 0 a b 0 b
0 0 a b 0 c
0 0 a c 0 0
0 0 a c 0 a
0 0 a c 0 b
0 0 a c 0 c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 b a 0 0
0 0 b a 0 a
0 0 b a 0 b
0 0 b a 0 c
0 0 b b 0 0
0 0 b b 0 a
0 0 b b 0 b
0 0 b b 0 c
0 0 b c 0 0
0 0 b c 0 a
0 0 b c 0 b
0 0 b c 0 c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c
0 0 c a 0 0
0 0 c a 0 a
0 0 c a 0 b
0 0 c a 0 c
0 0 c b 0 0
0 0 c b 0 a
0 0 c b 0 b
0 0 c b 0 c
0 0 c c 0 0
0 0 c c 0 a
0 0 c c 0 b
0 0 c c 0 c
Is it a nice code?: Yes
Generator Matrix-296
a a 0 0 a 0
b b 0 0 b 0
0 c 0 0 0 0
0 0 c 0 0 c
0 0 0 c 0 c
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 c
0 0 0 c c 0
0 0 c 0 0 c
0 0 c 0 c 0
0 0 c c 0 0
0 0 c c c c
0 c 0 0 0 0
0 c 0 0 c c
0 c 0 c 0 c
0 c 0 c c 0
0 c c 0 0 c
0 c c 0 c 0
0 c c c 0 0
0 c c c c c
b b 0 0 b 0
b b 0 0 a c
b b 0 c b c
b b 0 c a 0
b b c 0 b c
b b c 0 a 0
b b c c b 0
b b c c a c
b a 0 0 b 0
b a 0 0 a c
b a 0 c b c
b a 0 c a 0
b a c 0 b c
b a c 0 a 0
b a c c b 0
b a c c a c
a a 0 0 a 0
a a 0 0 b c
a a 0 c a c
a a 0 c b 0
a a c 0 a c
a a c 0 b 0
a a c c a 0
a a c c b c
a b 0 0 a 0
a b 0 0 b c
a b 0 c a c
a b 0 c b 0
a b c 0 a c
a b c 0 b 0
a b c c a 0
a b c c b c
c c 0 0 c 0
c c 0 0 0 c
c c 0 c c c
c c 0 c 0 0
c c c 0 c c
c c c 0 0 0
c c c c c 0
c c c c 0 c
c 0 0 0 c 0
c 0 0 0 0 c
c 0 0 c c c
c 0 0 c 0 0
c 0 c 0 c c
c 0 c 0 0 0
c 0 c c c 0
c 0 c c 0 c
dmin: 1
Weight Enumerator: 1x0 + 1x1 + 10x2 + 14x3 + 17x4 + 17x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_b)3 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 a a 0 0
0 0 a a 0 a
0 0 a a 0 b
0 0 a a 0 c
0 0 a b 0 0
0 0 a b 0 a
0 0 a b 0 b
0 0 a b 0 c
0 0 a c 0 0
0 0 a c 0 a
0 0 a c 0 b
0 0 a c 0 c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 b a 0 0
0 0 b a 0 a
0 0 b a 0 b
0 0 b a 0 c
0 0 b b 0 0
0 0 b b 0 a
0 0 b b 0 b
0 0 b b 0 c
0 0 b c 0 0
0 0 b c 0 a
0 0 b c 0 b
0 0 b c 0 c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c
0 0 c a 0 0
0 0 c a 0 a
0 0 c a 0 b
0 0 c a 0 c
0 0 c b 0 0
0 0 c b 0 a
0 0 c b 0 b
0 0 c b 0 c
0 0 c c 0 0
0 0 c c 0 a
0 0 c c 0 b
0 0 c c 0 c
Is it a nice code?: Yes
Generator Matrix-297
a a 0 0 a 0
b b 0 0 b 0
0 c 0 0 0 c
0 0 c 0 0 0
0 0 0 c 0 0
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 0
0 0 0 c c 0
0 0 c 0 0 0
0 0 c 0 c 0
0 0 c c 0 0
0 0 c c c 0
0 c 0 0 0 c
0 c 0 0 c c
0 c 0 c 0 c
0 c 0 c c c
0 c c 0 0 c
0 c c 0 c c
0 c c c 0 c
0 c c c c c
b b 0 0 b 0
b b 0 0 a 0
b b 0 c b 0
b b 0 c a 0
b b c 0 b 0
b b c 0 a 0
b b c c b 0
b b c c a 0
b a 0 0 b c
b a 0 0 a c
b a 0 c b c
b a 0 c a c
b a c 0 b c
b a c 0 a c
b a c c b c
b a c c a c
a a 0 0 a 0
a a 0 0 b 0
a a 0 c a 0
a a 0 c b 0
a a c 0 a 0
a a c 0 b 0
a a c c a 0
a a c c b 0
a b 0 0 a c
a b 0 0 b c
a b 0 c a c
a b 0 c b c
a b c 0 a c
a b c 0 b c
a b c c a c
a b c c b c
c c 0 0 c 0
c c 0 0 0 0
c c 0 c c 0
c c 0 c 0 0
c c c 0 c 0
c c c 0 0 0
c c c c c 0
c c c c 0 0
c 0 0 0 c c
c 0 0 0 0 c
c 0 0 c c c
c 0 0 c 0 c
c 0 c 0 c c
c 0 c 0 0 c
c 0 c c c c
c 0 c c 0 c
dmin: 1
Weight Enumerator: 1x0 + 3x1 + 6x2 + 14x3 + 21x4 + 15x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)3 (X_b)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)2 (X_b)3 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_b)3 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_a)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)2 (X_a)3 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)3 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 a a 0 0
0 0 a a 0 a
0 0 a a 0 b
0 0 a a 0 c
0 0 a b 0 0
0 0 a b 0 a
0 0 a b 0 b
0 0 a b 0 c
0 0 a c 0 0
0 0 a c 0 a
0 0 a c 0 b
0 0 a c 0 c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 b a 0 0
0 0 b a 0 a
0 0 b a 0 b
0 0 b a 0 c
0 0 b b 0 0
0 0 b b 0 a
0 0 b b 0 b
0 0 b b 0 c
0 0 b c 0 0
0 0 b c 0 a
0 0 b c 0 b
0 0 b c 0 c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c
0 0 c a 0 0
0 0 c a 0 a
0 0 c a 0 b
0 0 c a 0 c
0 0 c b 0 0
0 0 c b 0 a
0 0 c b 0 b
0 0 c b 0 c
0 0 c c 0 0
0 0 c c 0 a
0 0 c c 0 b
0 0 c c 0 c
Is it a nice code?: Yes
Generator Matrix-298
a a 0 0 a 0
b b 0 0 b 0
0 c 0 0 0 c
0 0 c 0 0 0
0 0 0 c 0 0
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 0
0 0 0 c c c
0 0 c 0 0 0
0 0 c 0 c c
0 0 c c 0 0
0 0 c c c c
0 c 0 0 0 c
0 c 0 0 c 0
0 c 0 c 0 c
0 c 0 c c 0
0 c c 0 0 c
0 c c 0 c 0
0 c c c 0 c
0 c c c c 0
b b 0 0 b 0
b b 0 0 a c
b b 0 c b 0
b b 0 c a c
b b c 0 b 0
b b c 0 a c
b b c c b 0
b b c c a c
b a 0 0 b c
b a 0 0 a 0
b a 0 c b c
b a 0 c a 0
b a c 0 b c
b a c 0 a 0
b a c c b c
b a c c a 0
a a 0 0 a 0
a a 0 0 b c
a a 0 c a 0
a a 0 c b c
a a c 0 a 0
a a c 0 b c
a a c c a 0
a a c c b c
a b 0 0 a c
a b 0 0 b 0
a b 0 c a c
a b 0 c b 0
a b c 0 a c
a b c 0 b 0
a b c c a c
a b c c b 0
c c 0 0 c 0
c c 0 0 0 c
c c 0 c c 0
c c 0 c 0 c
c c c 0 c 0
c c c 0 0 c
c c c c c 0
c c c c 0 c
c 0 0 0 c c
c 0 0 0 0 0
c 0 0 c c c
c 0 0 c 0 0
c 0 c 0 c c
c 0 c 0 0 0
c 0 c c c c
c 0 c c 0 0
dmin: 1
Weight Enumerator: 1x0 + 3x1 + 6x2 + 14x3 + 21x4 + 15x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_b)3 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_a)2 (X_b)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_a)1 (X_b)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 a a 0 0
0 0 a a 0 a
0 0 a a 0 b
0 0 a a 0 c
0 0 a b 0 0
0 0 a b 0 a
0 0 a b 0 b
0 0 a b 0 c
0 0 a c 0 0
0 0 a c 0 a
0 0 a c 0 b
0 0 a c 0 c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 b a 0 0
0 0 b a 0 a
0 0 b a 0 b
0 0 b a 0 c
0 0 b b 0 0
0 0 b b 0 a
0 0 b b 0 b
0 0 b b 0 c
0 0 b c 0 0
0 0 b c 0 a
0 0 b c 0 b
0 0 b c 0 c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c
0 0 c a 0 0
0 0 c a 0 a
0 0 c a 0 b
0 0 c a 0 c
0 0 c b 0 0
0 0 c b 0 a
0 0 c b 0 b
0 0 c b 0 c
0 0 c c 0 0
0 0 c c 0 a
0 0 c c 0 b
0 0 c c 0 c
Is it a nice code?: Yes
Generator Matrix-299
a a 0 0 a 0
b b 0 0 b 0
0 c 0 0 0 c
0 0 c 0 0 0
0 0 0 c 0 c
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 c
0 0 0 c c c
0 0 c 0 0 0
0 0 c 0 c 0
0 0 c c 0 c
0 0 c c c c
0 c 0 0 0 c
0 c 0 0 c c
0 c 0 c 0 0
0 c 0 c c 0
0 c c 0 0 c
0 c c 0 c c
0 c c c 0 0
0 c c c c 0
b b 0 0 b 0
b b 0 0 a 0
b b 0 c b c
b b 0 c a c
b b c 0 b 0
b b c 0 a 0
b b c c b c
b b c c a c
b a 0 0 b c
b a 0 0 a c
b a 0 c b 0
b a 0 c a 0
b a c 0 b c
b a c 0 a c
b a c c b 0
b a c c a 0
a a 0 0 a 0
a a 0 0 b 0
a a 0 c a c
a a 0 c b c
a a c 0 a 0
a a c 0 b 0
a a c c a c
a a c c b c
a b 0 0 a c
a b 0 0 b c
a b 0 c a 0
a b 0 c b 0
a b c 0 a c
a b c 0 b c
a b c c a 0
a b c c b 0
c c 0 0 c 0
c c 0 0 0 0
c c 0 c c c
c c 0 c 0 c
c c c 0 c 0
c c c 0 0 0
c c c c c c
c c c c 0 c
c 0 0 0 c c
c 0 0 0 0 c
c 0 0 c c 0
c 0 0 c 0 0
c 0 c 0 c c
c 0 c 0 0 c
c 0 c c c 0
c 0 c c 0 0
dmin: 1
Weight Enumerator: 1x0 + 2x1 + 7x2 + 16x3 + 19x4 + 14x5 + 5x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_b)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_b)3 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_b)3 (X_c)3 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)3 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)3 (X_c)3 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_c)6 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 a a 0 0
0 0 a a 0 a
0 0 a a 0 b
0 0 a a 0 c
0 0 a b 0 0
0 0 a b 0 a
0 0 a b 0 b
0 0 a b 0 c
0 0 a c 0 0
0 0 a c 0 a
0 0 a c 0 b
0 0 a c 0 c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 b a 0 0
0 0 b a 0 a
0 0 b a 0 b
0 0 b a 0 c
0 0 b b 0 0
0 0 b b 0 a
0 0 b b 0 b
0 0 b b 0 c
0 0 b c 0 0
0 0 b c 0 a
0 0 b c 0 b
0 0 b c 0 c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c
0 0 c a 0 0
0 0 c a 0 a
0 0 c a 0 b
0 0 c a 0 c
0 0 c b 0 0
0 0 c b 0 a
0 0 c b 0 b
0 0 c b 0 c
0 0 c c 0 0
0 0 c c 0 a
0 0 c c 0 b
0 0 c c 0 c
Is it a nice code?: Yes
Generator Matrix-300
a a 0 0 a 0
b b 0 0 b 0
0 c 0 0 0 c
0 0 c 0 0 0
0 0 0 c 0 c
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 c
0 0 0 c c 0
0 0 c 0 0 0
0 0 c 0 c c
0 0 c c 0 c
0 0 c c c 0
0 c 0 0 0 c
0 c 0 0 c 0
0 c 0 c 0 0
0 c 0 c c c
0 c c 0 0 c
0 c c 0 c 0
0 c c c 0 0
0 c c c c c
b b 0 0 b 0
b b 0 0 a c
b b 0 c b c
b b 0 c a 0
b b c 0 b 0
b b c 0 a c
b b c c b c
b b c c a 0
b a 0 0 b c
b a 0 0 a 0
b a 0 c b 0
b a 0 c a c
b a c 0 b c
b a c 0 a 0
b a c c b 0
b a c c a c
a a 0 0 a 0
a a 0 0 b c
a a 0 c a c
a a 0 c b 0
a a c 0 a 0
a a c 0 b c
a a c c a c
a a c c b 0
a b 0 0 a c
a b 0 0 b 0
a b 0 c a 0
a b 0 c b c
a b c 0 a c
a b c 0 b 0
a b c c a 0
a b c c b c
c c 0 0 c 0
c c 0 0 0 c
c c 0 c c c
c c 0 c 0 0
c c c 0 c 0
c c c 0 0 c
c c c c c c
c c c c 0 0
c 0 0 0 c c
c 0 0 0 0 0
c 0 0 c c 0
c 0 0 c 0 c
c 0 c 0 c c
c 0 c 0 0 0
c 0 c c c 0
c 0 c c 0 c
dmin: 1
Weight Enumerator: 1x0 + 2x1 + 7x2 + 16x3 + 19x4 + 14x5 + 5x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_b)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_a)2 (X_b)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_a)1 (X_b)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_c)6 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 a a 0 0
0 0 a a 0 a
0 0 a a 0 b
0 0 a a 0 c
0 0 a b 0 0
0 0 a b 0 a
0 0 a b 0 b
0 0 a b 0 c
0 0 a c 0 0
0 0 a c 0 a
0 0 a c 0 b
0 0 a c 0 c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 b a 0 0
0 0 b a 0 a
0 0 b a 0 b
0 0 b a 0 c
0 0 b b 0 0
0 0 b b 0 a
0 0 b b 0 b
0 0 b b 0 c
0 0 b c 0 0
0 0 b c 0 a
0 0 b c 0 b
0 0 b c 0 c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c
0 0 c a 0 0
0 0 c a 0 a
0 0 c a 0 b
0 0 c a 0 c
0 0 c b 0 0
0 0 c b 0 a
0 0 c b 0 b
0 0 c b 0 c
0 0 c c 0 0
0 0 c c 0 a
0 0 c c 0 b
0 0 c c 0 c
Is it a nice code?: Yes
Generator Matrix-301
a a 0 0 a 0
b b 0 0 b 0
0 c 0 0 0 c
0 0 c 0 0 c
0 0 0 c 0 0
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 0
0 0 0 c c 0
0 0 c 0 0 c
0 0 c 0 c c
0 0 c c 0 c
0 0 c c c c
0 c 0 0 0 c
0 c 0 0 c c
0 c 0 c 0 c
0 c 0 c c c
0 c c 0 0 0
0 c c 0 c 0
0 c c c 0 0
0 c c c c 0
b b 0 0 b 0
b b 0 0 a 0
b b 0 c b 0
b b 0 c a 0
b b c 0 b c
b b c 0 a c
b b c c b c
b b c c a c
b a 0 0 b c
b a 0 0 a c
b a 0 c b c
b a 0 c a c
b a c 0 b 0
b a c 0 a 0
b a c c b 0
b a c c a 0
a a 0 0 a 0
a a 0 0 b 0
a a 0 c a 0
a a 0 c b 0
a a c 0 a c
a a c 0 b c
a a c c a c
a a c c b c
a b 0 0 a c
a b 0 0 b c
a b 0 c a c
a b 0 c b c
a b c 0 a 0
a b c 0 b 0
a b c c a 0
a b c c b 0
c c 0 0 c 0
c c 0 0 0 0
c c 0 c c 0
c c 0 c 0 0
c c c 0 c c
c c c 0 0 c
c c c c c c
c c c c 0 c
c 0 0 0 c c
c 0 0 0 0 c
c 0 0 c c c
c 0 0 c 0 c
c 0 c 0 c 0
c 0 c 0 0 0
c 0 c c c 0
c 0 c c 0 0
dmin: 1
Weight Enumerator: 1x0 + 2x1 + 7x2 + 16x3 + 19x4 + 14x5 + 5x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_b)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)2 (X_b)3 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_b)3 (X_c)3 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)2 (X_a)3 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)3 (X_c)3 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_c)6 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 a a 0 0
0 0 a a 0 a
0 0 a a 0 b
0 0 a a 0 c
0 0 a b 0 0
0 0 a b 0 a
0 0 a b 0 b
0 0 a b 0 c
0 0 a c 0 0
0 0 a c 0 a
0 0 a c 0 b
0 0 a c 0 c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 b a 0 0
0 0 b a 0 a
0 0 b a 0 b
0 0 b a 0 c
0 0 b b 0 0
0 0 b b 0 a
0 0 b b 0 b
0 0 b b 0 c
0 0 b c 0 0
0 0 b c 0 a
0 0 b c 0 b
0 0 b c 0 c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c
0 0 c a 0 0
0 0 c a 0 a
0 0 c a 0 b
0 0 c a 0 c
0 0 c b 0 0
0 0 c b 0 a
0 0 c b 0 b
0 0 c b 0 c
0 0 c c 0 0
0 0 c c 0 a
0 0 c c 0 b
0 0 c c 0 c
Is it a nice code?: Yes
Generator Matrix-302
a a 0 0 a 0
b b 0 0 b 0
0 c 0 0 0 c
0 0 c 0 0 c
0 0 0 c 0 0
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 0
0 0 0 c c c
0 0 c 0 0 c
0 0 c 0 c 0
0 0 c c 0 c
0 0 c c c 0
0 c 0 0 0 c
0 c 0 0 c 0
0 c 0 c 0 c
0 c 0 c c 0
0 c c 0 0 0
0 c c 0 c c
0 c c c 0 0
0 c c c c c
b b 0 0 b 0
b b 0 0 a c
b b 0 c b 0
b b 0 c a c
b b c 0 b c
b b c 0 a 0
b b c c b c
b b c c a 0
b a 0 0 b c
b a 0 0 a 0
b a 0 c b c
b a 0 c a 0
b a c 0 b 0
b a c 0 a c
b a c c b 0
b a c c a c
a a 0 0 a 0
a a 0 0 b c
a a 0 c a 0
a a 0 c b c
a a c 0 a c
a a c 0 b 0
a a c c a c
a a c c b 0
a b 0 0 a c
a b 0 0 b 0
a b 0 c a c
a b 0 c b 0
a b c 0 a 0
a b c 0 b c
a b c c a 0
a b c c b c
c c 0 0 c 0
c c 0 0 0 c
c c 0 c c 0
c c 0 c 0 c
c c c 0 c c
c c c 0 0 0
c c c c c c
c c c c 0 0
c 0 0 0 c c
c 0 0 0 0 0
c 0 0 c c c
c 0 0 c 0 0
c 0 c 0 c 0
c 0 c 0 0 c
c 0 c c c 0
c 0 c c 0 c
dmin: 1
Weight Enumerator: 1x0 + 2x1 + 7x2 + 16x3 + 19x4 + 14x5 + 5x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_b)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_a)2 (X_b)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_a)1 (X_b)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_c)6 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 a a 0 0
0 0 a a 0 a
0 0 a a 0 b
0 0 a a 0 c
0 0 a b 0 0
0 0 a b 0 a
0 0 a b 0 b
0 0 a b 0 c
0 0 a c 0 0
0 0 a c 0 a
0 0 a c 0 b
0 0 a c 0 c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 b a 0 0
0 0 b a 0 a
0 0 b a 0 b
0 0 b a 0 c
0 0 b b 0 0
0 0 b b 0 a
0 0 b b 0 b
0 0 b b 0 c
0 0 b c 0 0
0 0 b c 0 a
0 0 b c 0 b
0 0 b c 0 c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c
0 0 c a 0 0
0 0 c a 0 a
0 0 c a 0 b
0 0 c a 0 c
0 0 c b 0 0
0 0 c b 0 a
0 0 c b 0 b
0 0 c b 0 c
0 0 c c 0 0
0 0 c c 0 a
0 0 c c 0 b
0 0 c c 0 c
Is it a nice code?: Yes
Generator Matrix-303
a a 0 0 a 0
b b 0 0 b 0
0 c 0 0 0 c
0 0 c 0 0 c
0 0 0 c 0 c
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 c
0 0 0 c c c
0 0 c 0 0 c
0 0 c 0 c c
0 0 c c 0 0
0 0 c c c 0
0 c 0 0 0 c
0 c 0 0 c c
0 c 0 c 0 0
0 c 0 c c 0
0 c c 0 0 0
0 c c 0 c 0
0 c c c 0 c
0 c c c c c
b b 0 0 b 0
b b 0 0 a 0
b b 0 c b c
b b 0 c a c
b b c 0 b c
b b c 0 a c
b b c c b 0
b b c c a 0
b a 0 0 b c
b a 0 0 a c
b a 0 c b 0
b a 0 c a 0
b a c 0 b 0
b a c 0 a 0
b a c c b c
b a c c a c
a a 0 0 a 0
a a 0 0 b 0
a a 0 c a c
a a 0 c b c
a a c 0 a c
a a c 0 b c
a a c c a 0
a a c c b 0
a b 0 0 a c
a b 0 0 b c
a b 0 c a 0
a b 0 c b 0
a b c 0 a 0
a b c 0 b 0
a b c c a c
a b c c b c
c c 0 0 c 0
c c 0 0 0 0
c c 0 c c c
c c 0 c 0 c
c c c 0 c c
c c c 0 0 c
c c c c c 0
c c c c 0 0
c 0 0 0 c c
c 0 0 0 0 c
c 0 0 c c 0
c 0 0 c 0 0
c 0 c 0 c 0
c 0 c 0 0 0
c 0 c c c c
c 0 c c 0 c
dmin: 1
Weight Enumerator: 1x0 + 1x1 + 10x2 + 14x3 + 17x4 + 17x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)3 (X_b)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_a)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 a a 0 0
0 0 a a 0 a
0 0 a a 0 b
0 0 a a 0 c
0 0 a b 0 0
0 0 a b 0 a
0 0 a b 0 b
0 0 a b 0 c
0 0 a c 0 0
0 0 a c 0 a
0 0 a c 0 b
0 0 a c 0 c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 b a 0 0
0 0 b a 0 a
0 0 b a 0 b
0 0 b a 0 c
0 0 b b 0 0
0 0 b b 0 a
0 0 b b 0 b
0 0 b b 0 c
0 0 b c 0 0
0 0 b c 0 a
0 0 b c 0 b
0 0 b c 0 c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c
0 0 c a 0 0
0 0 c a 0 a
0 0 c a 0 b
0 0 c a 0 c
0 0 c b 0 0
0 0 c b 0 a
0 0 c b 0 b
0 0 c b 0 c
0 0 c c 0 0
0 0 c c 0 a
0 0 c c 0 b
0 0 c c 0 c
Is it a nice code?: Yes
Generator Matrix-304
a a 0 0 a 0
b b 0 0 b 0
0 c 0 0 0 c
0 0 c 0 0 c
0 0 0 c 0 c
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 c
0 0 0 c c 0
0 0 c 0 0 c
0 0 c 0 c 0
0 0 c c 0 0
0 0 c c c c
0 c 0 0 0 c
0 c 0 0 c 0
0 c 0 c 0 0
0 c 0 c c c
0 c c 0 0 0
0 c c 0 c c
0 c c c 0 c
0 c c c c 0
b b 0 0 b 0
b b 0 0 a c
b b 0 c b c
b b 0 c a 0
b b c 0 b c
b b c 0 a 0
b b c c b 0
b b c c a c
b a 0 0 b c
b a 0 0 a 0
b a 0 c b 0
b a 0 c a c
b a c 0 b 0
b a c 0 a c
b a c c b c
b a c c a 0
a a 0 0 a 0
a a 0 0 b c
a a 0 c a c
a a 0 c b 0
a a c 0 a c
a a c 0 b 0
a a c c a 0
a a c c b c
a b 0 0 a c
a b 0 0 b 0
a b 0 c a 0
a b 0 c b c
a b c 0 a 0
a b c 0 b c
a b c c a c
a b c c b 0
c c 0 0 c 0
c c 0 0 0 c
c c 0 c c c
c c 0 c 0 0
c c c 0 c c
c c c 0 0 0
c c c c c 0
c c c c 0 c
c 0 0 0 c c
c 0 0 0 0 0
c 0 0 c c 0
c 0 0 c 0 c
c 0 c 0 c 0
c 0 c 0 0 c
c 0 c c c c
c 0 c c 0 0
dmin: 1
Weight Enumerator: 1x0 + 1x1 + 10x2 + 14x3 + 17x4 + 17x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)3 (X_b)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_b)3 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_a)2 (X_b)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_a)1 (X_b)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 a a 0 0
0 0 a a 0 a
0 0 a a 0 b
0 0 a a 0 c
0 0 a b 0 0
0 0 a b 0 a
0 0 a b 0 b
0 0 a b 0 c
0 0 a c 0 0
0 0 a c 0 a
0 0 a c 0 b
0 0 a c 0 c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 b a 0 0
0 0 b a 0 a
0 0 b a 0 b
0 0 b a 0 c
0 0 b b 0 0
0 0 b b 0 a
0 0 b b 0 b
0 0 b b 0 c
0 0 b c 0 0
0 0 b c 0 a
0 0 b c 0 b
0 0 b c 0 c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c
0 0 c a 0 0
0 0 c a 0 a
0 0 c a 0 b
0 0 c a 0 c
0 0 c b 0 0
0 0 c b 0 a
0 0 c b 0 b
0 0 c b 0 c
0 0 c c 0 0
0 0 c c 0 a
0 0 c c 0 b
0 0 c c 0 c
Is it a nice code?: Yes
Generator Matrix-305
a a 0 0 a a
b b 0 0 b b
0 c 0 0 0 0
0 0 c 0 0 0
0 0 0 c 0 0
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 0
0 0 0 c c 0
0 0 c 0 0 0
0 0 c 0 c 0
0 0 c c 0 0
0 0 c c c 0
0 c 0 0 0 0
0 c 0 0 c 0
0 c 0 c 0 0
0 c 0 c c 0
0 c c 0 0 0
0 c c 0 c 0
0 c c c 0 0
0 c c c c 0
b b 0 0 b b
b b 0 0 a b
b b 0 c b b
b b 0 c a b
b b c 0 b b
b b c 0 a b
b b c c b b
b b c c a b
b a 0 0 b b
b a 0 0 a b
b a 0 c b b
b a 0 c a b
b a c 0 b b
b a c 0 a b
b a c c b b
b a c c a b
a a 0 0 a a
a a 0 0 b a
a a 0 c a a
a a 0 c b a
a a c 0 a a
a a c 0 b a
a a c c a a
a a c c b a
a b 0 0 a a
a b 0 0 b a
a b 0 c a a
a b 0 c b a
a b c 0 a a
a b c 0 b a
a b c c a a
a b c c b a
c c 0 0 c c
c c 0 0 0 c
c c 0 c c c
c c 0 c 0 c
c c c 0 c c
c c c 0 0 c
c c c c c c
c c c c 0 c
c 0 0 0 c c
c 0 0 0 0 c
c 0 0 c c c
c 0 0 c 0 c
c 0 c 0 c c
c 0 c 0 0 c
c 0 c c c c
c 0 c c 0 c
dmin: 1
Weight Enumerator: 1x0 + 4x1 + 7x2 + 8x3 + 15x4 + 20x5 + 9x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_b)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_b)4 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_b)4 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_b)4 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)1 (X_b)3 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)4 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)4 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)4 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)3 (X_b)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_c)6 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4
Dual Codewords:
0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0
0 0 a 0 0 0
0 0 a a 0 0
0 0 a b 0 0
0 0 a c 0 0
0 0 b 0 0 0
0 0 b a 0 0
0 0 b b 0 0
0 0 b c 0 0
0 0 c 0 0 0
0 0 c a 0 0
0 0 c b 0 0
0 0 c c 0 0
Is it a nice code?: No
Generator Matrix-306
a a 0 0 a a
b b 0 0 b b
0 c 0 0 0 0
0 0 c 0 0 0
0 0 0 c 0 0
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 0
0 0 0 c c c
0 0 c 0 0 0
0 0 c 0 c c
0 0 c c 0 0
0 0 c c c c
0 c 0 0 0 0
0 c 0 0 c c
0 c 0 c 0 0
0 c 0 c c c
0 c c 0 0 0
0 c c 0 c c
0 c c c 0 0
0 c c c c c
b b 0 0 b b
b b 0 0 a a
b b 0 c b b
b b 0 c a a
b b c 0 b b
b b c 0 a a
b b c c b b
b b c c a a
b a 0 0 b b
b a 0 0 a a
b a 0 c b b
b a 0 c a a
b a c 0 b b
b a c 0 a a
b a c c b b
b a c c a a
a a 0 0 a a
a a 0 0 b b
a a 0 c a a
a a 0 c b b
a a c 0 a a
a a c 0 b b
a a c c a a
a a c c b b
a b 0 0 a a
a b 0 0 b b
a b 0 c a a
a b 0 c b b
a b c 0 a a
a b c 0 b b
a b c c a a
a b c c b b
c c 0 0 c c
c c 0 0 0 0
c c 0 c c c
c c 0 c 0 0
c c c 0 c c
c c c 0 0 0
c c c c c c
c c c c 0 0
c 0 0 0 c c
c 0 0 0 0 0
c 0 0 c c c
c 0 0 c 0 0
c 0 c 0 c c
c 0 c 0 0 0
c 0 c c c c
c 0 c c 0 0
dmin: 1
Weight Enumerator: 1x0 + 4x1 + 7x2 + 8x3 + 15x4 + 20x5 + 9x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_b)4 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_b)4 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_b)4 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)3 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)4 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)4 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)4 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)3 (X_b)1 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_c)6 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3
Dual Codewords:
0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0
0 0 a 0 0 0
0 0 a a 0 0
0 0 a b 0 0
0 0 a c 0 0
0 0 b 0 0 0
0 0 b a 0 0
0 0 b b 0 0
0 0 b c 0 0
0 0 c 0 0 0
0 0 c a 0 0
0 0 c b 0 0
0 0 c c 0 0
Is it a nice code?: No
Generator Matrix-307
a a 0 0 a a
b b 0 0 b b
0 c 0 0 0 0
0 0 c 0 0 0
0 0 0 c 0 c
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 c
0 0 0 c c c
0 0 c 0 0 0
0 0 c 0 c 0
0 0 c c 0 c
0 0 c c c c
0 c 0 0 0 0
0 c 0 0 c 0
0 c 0 c 0 c
0 c 0 c c c
0 c c 0 0 0
0 c c 0 c 0
0 c c c 0 c
0 c c c c c
b b 0 0 b b
b b 0 0 a b
b b 0 c b a
b b 0 c a a
b b c 0 b b
b b c 0 a b
b b c c b a
b b c c a a
b a 0 0 b b
b a 0 0 a b
b a 0 c b a
b a 0 c a a
b a c 0 b b
b a c 0 a b
b a c c b a
b a c c a a
a a 0 0 a a
a a 0 0 b a
a a 0 c a b
a a 0 c b b
a a c 0 a a
a a c 0 b a
a a c c a b
a a c c b b
a b 0 0 a a
a b 0 0 b a
a b 0 c a b
a b 0 c b b
a b c 0 a a
a b c 0 b a
a b c c a b
a b c c b b
c c 0 0 c c
c c 0 0 0 c
c c 0 c c 0
c c 0 c 0 0
c c c 0 c c
c c c 0 0 c
c c c c c 0
c c c c 0 0
c 0 0 0 c c
c 0 0 0 0 c
c 0 0 c c 0
c 0 0 c 0 0
c 0 c 0 c c
c 0 c 0 0 c
c 0 c c c 0
c 0 c c 0 0
dmin: 1
Weight Enumerator: 1x0 + 3x1 + 6x2 + 10x3 + 17x4 + 19x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)2 (X_b)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_b)4 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)3 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)4 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)3 (X_b)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3
Dual Codewords:
0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0
0 0 a 0 0 0
0 0 a a 0 0
0 0 a b 0 0
0 0 a c 0 0
0 0 b 0 0 0
0 0 b a 0 0
0 0 b b 0 0
0 0 b c 0 0
0 0 c 0 0 0
0 0 c a 0 0
0 0 c b 0 0
0 0 c c 0 0
Is it a nice code?: No
Generator Matrix-308
a a 0 0 a a
b b 0 0 b b
0 c 0 0 0 0
0 0 c 0 0 0
0 0 0 c 0 c
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 c
0 0 0 c c 0
0 0 c 0 0 0
0 0 c 0 c c
0 0 c c 0 c
0 0 c c c 0
0 c 0 0 0 0
0 c 0 0 c c
0 c 0 c 0 c
0 c 0 c c 0
0 c c 0 0 0
0 c c 0 c c
0 c c c 0 c
0 c c c c 0
b b 0 0 b b
b b 0 0 a a
b b 0 c b a
b b 0 c a b
b b c 0 b b
b b c 0 a a
b b c c b a
b b c c a b
b a 0 0 b b
b a 0 0 a a
b a 0 c b a
b a 0 c a b
b a c 0 b b
b a c 0 a a
b a c c b a
b a c c a b
a a 0 0 a a
a a 0 0 b b
a a 0 c a b
a a 0 c b a
a a c 0 a a
a a c 0 b b
a a c c a b
a a c c b a
a b 0 0 a a
a b 0 0 b b
a b 0 c a b
a b 0 c b a
a b c 0 a a
a b c 0 b b
a b c c a b
a b c c b a
c c 0 0 c c
c c 0 0 0 0
c c 0 c c 0
c c 0 c 0 c
c c c 0 c c
c c c 0 0 0
c c c c c 0
c c c c 0 c
c 0 0 0 c c
c 0 0 0 0 0
c 0 0 c c 0
c 0 0 c 0 c
c 0 c 0 c c
c 0 c 0 0 0
c 0 c c c 0
c 0 c c 0 c
dmin: 1
Weight Enumerator: 1x0 + 3x1 + 6x2 + 10x3 + 17x4 + 19x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_b)4 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)1 (X_b)3 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)4 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)3 (X_b)1 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4
Dual Codewords:
0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0
0 0 a 0 0 0
0 0 a a 0 0
0 0 a b 0 0
0 0 a c 0 0
0 0 b 0 0 0
0 0 b a 0 0
0 0 b b 0 0
0 0 b c 0 0
0 0 c 0 0 0
0 0 c a 0 0
0 0 c b 0 0
0 0 c c 0 0
Is it a nice code?: No
Generator Matrix-309
a a 0 0 a a
b b 0 0 b b
0 c 0 0 0 0
0 0 c 0 0 c
0 0 0 c 0 0
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 0
0 0 0 c c 0
0 0 c 0 0 c
0 0 c 0 c c
0 0 c c 0 c
0 0 c c c c
0 c 0 0 0 0
0 c 0 0 c 0
0 c 0 c 0 0
0 c 0 c c 0
0 c c 0 0 c
0 c c 0 c c
0 c c c 0 c
0 c c c c c
b b 0 0 b b
b b 0 0 a b
b b 0 c b b
b b 0 c a b
b b c 0 b a
b b c 0 a a
b b c c b a
b b c c a a
b a 0 0 b b
b a 0 0 a b
b a 0 c b b
b a 0 c a b
b a c 0 b a
b a c 0 a a
b a c c b a
b a c c a a
a a 0 0 a a
a a 0 0 b a
a a 0 c a a
a a 0 c b a
a a c 0 a b
a a c 0 b b
a a c c a b
a a c c b b
a b 0 0 a a
a b 0 0 b a
a b 0 c a a
a b 0 c b a
a b c 0 a b
a b c 0 b b
a b c c a b
a b c c b b
c c 0 0 c c
c c 0 0 0 c
c c 0 c c c
c c 0 c 0 c
c c c 0 c 0
c c c 0 0 0
c c c c c 0
c c c c 0 0
c 0 0 0 c c
c 0 0 0 0 c
c 0 0 c c c
c 0 0 c 0 c
c 0 c 0 c 0
c 0 c 0 0 0
c 0 c c c 0
c 0 c c 0 0
dmin: 1
Weight Enumerator: 1x0 + 3x1 + 6x2 + 10x3 + 17x4 + 19x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)2 (X_b)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_b)4 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)3 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)4 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)3 (X_b)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3
Dual Codewords:
0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0
0 0 a 0 0 0
0 0 a a 0 0
0 0 a b 0 0
0 0 a c 0 0
0 0 b 0 0 0
0 0 b a 0 0
0 0 b b 0 0
0 0 b c 0 0
0 0 c 0 0 0
0 0 c a 0 0
0 0 c b 0 0
0 0 c c 0 0
Is it a nice code?: No
Generator Matrix-310
a a 0 0 a a
b b 0 0 b b
0 c 0 0 0 0
0 0 c 0 0 c
0 0 0 c 0 0
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 0
0 0 0 c c c
0 0 c 0 0 c
0 0 c 0 c 0
0 0 c c 0 c
0 0 c c c 0
0 c 0 0 0 0
0 c 0 0 c c
0 c 0 c 0 0
0 c 0 c c c
0 c c 0 0 c
0 c c 0 c 0
0 c c c 0 c
0 c c c c 0
b b 0 0 b b
b b 0 0 a a
b b 0 c b b
b b 0 c a a
b b c 0 b a
b b c 0 a b
b b c c b a
b b c c a b
b a 0 0 b b
b a 0 0 a a
b a 0 c b b
b a 0 c a a
b a c 0 b a
b a c 0 a b
b a c c b a
b a c c a b
a a 0 0 a a
a a 0 0 b b
a a 0 c a a
a a 0 c b b
a a c 0 a b
a a c 0 b a
a a c c a b
a a c c b a
a b 0 0 a a
a b 0 0 b b
a b 0 c a a
a b 0 c b b
a b c 0 a b
a b c 0 b a
a b c c a b
a b c c b a
c c 0 0 c c
c c 0 0 0 0
c c 0 c c c
c c 0 c 0 0
c c c 0 c 0
c c c 0 0 c
c c c c c 0
c c c c 0 c
c 0 0 0 c c
c 0 0 0 0 0
c 0 0 c c c
c 0 0 c 0 0
c 0 c 0 c 0
c 0 c 0 0 c
c 0 c c c 0
c 0 c c 0 c
dmin: 1
Weight Enumerator: 1x0 + 3x1 + 6x2 + 10x3 + 17x4 + 19x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_b)4 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)1 (X_b)3 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)4 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)3 (X_b)1 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4
Dual Codewords:
0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0
0 0 a 0 0 0
0 0 a a 0 0
0 0 a b 0 0
0 0 a c 0 0
0 0 b 0 0 0
0 0 b a 0 0
0 0 b b 0 0
0 0 b c 0 0
0 0 c 0 0 0
0 0 c a 0 0
0 0 c b 0 0
0 0 c c 0 0
Is it a nice code?: No
Generator Matrix-311
a a 0 0 a a
b b 0 0 b b
0 c 0 0 0 0
0 0 c 0 0 c
0 0 0 c 0 c
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 c
0 0 0 c c c
0 0 c 0 0 c
0 0 c 0 c c
0 0 c c 0 0
0 0 c c c 0
0 c 0 0 0 0
0 c 0 0 c 0
0 c 0 c 0 c
0 c 0 c c c
0 c c 0 0 c
0 c c 0 c c
0 c c c 0 0
0 c c c c 0
b b 0 0 b b
b b 0 0 a b
b b 0 c b a
b b 0 c a a
b b c 0 b a
b b c 0 a a
b b c c b b
b b c c a b
b a 0 0 b b
b a 0 0 a b
b a 0 c b a
b a 0 c a a
b a c 0 b a
b a c 0 a a
b a c c b b
b a c c a b
a a 0 0 a a
a a 0 0 b a
a a 0 c a b
a a 0 c b b
a a c 0 a b
a a c 0 b b
a a c c a a
a a c c b a
a b 0 0 a a
a b 0 0 b a
a b 0 c a b
a b 0 c b b
a b c 0 a b
a b c 0 b b
a b c c a a
a b c c b a
c c 0 0 c c
c c 0 0 0 c
c c 0 c c 0
c c 0 c 0 0
c c c 0 c 0
c c c 0 0 0
c c c c c c
c c c c 0 c
c 0 0 0 c c
c 0 0 0 0 c
c 0 0 c c 0
c 0 0 c 0 0
c 0 c 0 c 0
c 0 c 0 0 0
c 0 c c c c
c 0 c c 0 c
dmin: 1
Weight Enumerator: 1x0 + 2x1 + 7x2 + 12x3 + 15x4 + 18x5 + 9x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_b)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_b)4 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)1 (X_b)3 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)4 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)3 (X_b)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_c)6 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4
Dual Codewords:
0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0
0 0 a 0 0 0
0 0 a a 0 0
0 0 a b 0 0
0 0 a c 0 0
0 0 b 0 0 0
0 0 b a 0 0
0 0 b b 0 0
0 0 b c 0 0
0 0 c 0 0 0
0 0 c a 0 0
0 0 c b 0 0
0 0 c c 0 0
Is it a nice code?: No
Generator Matrix-312
a a 0 0 a a
b b 0 0 b b
0 c 0 0 0 0
0 0 c 0 0 c
0 0 0 c 0 c
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 c
0 0 0 c c 0
0 0 c 0 0 c
0 0 c 0 c 0
0 0 c c 0 0
0 0 c c c c
0 c 0 0 0 0
0 c 0 0 c c
0 c 0 c 0 c
0 c 0 c c 0
0 c c 0 0 c
0 c c 0 c 0
0 c c c 0 0
0 c c c c c
b b 0 0 b b
b b 0 0 a a
b b 0 c b a
b b 0 c a b
b b c 0 b a
b b c 0 a b
b b c c b b
b b c c a a
b a 0 0 b b
b a 0 0 a a
b a 0 c b a
b a 0 c a b
b a c 0 b a
b a c 0 a b
b a c c b b
b a c c a a
a a 0 0 a a
a a 0 0 b b
a a 0 c a b
a a 0 c b a
a a c 0 a b
a a c 0 b a
a a c c a a
a a c c b b
a b 0 0 a a
a b 0 0 b b
a b 0 c a b
a b 0 c b a
a b c 0 a b
a b c 0 b a
a b c c a a
a b c c b b
c c 0 0 c c
c c 0 0 0 0
c c 0 c c 0
c c 0 c 0 c
c c c 0 c 0
c c c 0 0 c
c c c c c c
c c c c 0 0
c 0 0 0 c c
c 0 0 0 0 0
c 0 0 c c 0
c 0 0 c 0 c
c 0 c 0 c 0
c 0 c 0 0 c
c 0 c c c c
c 0 c c 0 0
dmin: 1
Weight Enumerator: 1x0 + 2x1 + 7x2 + 12x3 + 15x4 + 18x5 + 9x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_b)4 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)3 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)4 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)3 (X_b)1 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_c)6 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3
Dual Codewords:
0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0
0 0 a 0 0 0
0 0 a a 0 0
0 0 a b 0 0
0 0 a c 0 0
0 0 b 0 0 0
0 0 b a 0 0
0 0 b b 0 0
0 0 b c 0 0
0 0 c 0 0 0
0 0 c a 0 0
0 0 c b 0 0
0 0 c c 0 0
Is it a nice code?: No
Generator Matrix-313
a a 0 0 a a
b b 0 0 b b
0 c 0 0 0 c
0 0 c 0 0 0
0 0 0 c 0 0
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 0
0 0 0 c c 0
0 0 c 0 0 0
0 0 c 0 c 0
0 0 c c 0 0
0 0 c c c 0
0 c 0 0 0 c
0 c 0 0 c c
0 c 0 c 0 c
0 c 0 c c c
0 c c 0 0 c
0 c c 0 c c
0 c c c 0 c
0 c c c c c
b b 0 0 b b
b b 0 0 a b
b b 0 c b b
b b 0 c a b
b b c 0 b b
b b c 0 a b
b b c c b b
b b c c a b
b a 0 0 b a
b a 0 0 a a
b a 0 c b a
b a 0 c a a
b a c 0 b a
b a c 0 a a
b a c c b a
b a c c a a
a a 0 0 a a
a a 0 0 b a
a a 0 c a a
a a 0 c b a
a a c 0 a a
a a c 0 b a
a a c c a a
a a c c b a
a b 0 0 a b
a b 0 0 b b
a b 0 c a b
a b 0 c b b
a b c 0 a b
a b c 0 b b
a b c c a b
a b c c b b
c c 0 0 c c
c c 0 0 0 c
c c 0 c c c
c c 0 c 0 c
c c c 0 c c
c c c 0 0 c
c c c c c c
c c c c 0 c
c 0 0 0 c 0
c 0 0 0 0 0
c 0 0 c c 0
c 0 0 c 0 0
c 0 c 0 c 0
c 0 c 0 0 0
c 0 c c c 0
c 0 c c 0 0
dmin: 1
Weight Enumerator: 1x0 + 4x1 + 7x2 + 8x3 + 15x4 + 20x5 + 9x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)2 (X_b)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_b)4 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_b)4 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_b)4 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)4 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)4 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)4 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_c)6 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3
Dual Codewords:
0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0
0 0 a 0 0 0
0 0 a a 0 0
0 0 a b 0 0
0 0 a c 0 0
0 0 b 0 0 0
0 0 b a 0 0
0 0 b b 0 0
0 0 b c 0 0
0 0 c 0 0 0
0 0 c a 0 0
0 0 c b 0 0
0 0 c c 0 0
Is it a nice code?: No
Generator Matrix-314
a a 0 0 a a
b b 0 0 b b
0 c 0 0 0 c
0 0 c 0 0 0
0 0 0 c 0 0
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 0
0 0 0 c c c
0 0 c 0 0 0
0 0 c 0 c c
0 0 c c 0 0
0 0 c c c c
0 c 0 0 0 c
0 c 0 0 c 0
0 c 0 c 0 c
0 c 0 c c 0
0 c c 0 0 c
0 c c 0 c 0
0 c c c 0 c
0 c c c c 0
b b 0 0 b b
b b 0 0 a a
b b 0 c b b
b b 0 c a a
b b c 0 b b
b b c 0 a a
b b c c b b
b b c c a a
b a 0 0 b a
b a 0 0 a b
b a 0 c b a
b a 0 c a b
b a c 0 b a
b a c 0 a b
b a c c b a
b a c c a b
a a 0 0 a a
a a 0 0 b b
a a 0 c a a
a a 0 c b b
a a c 0 a a
a a c 0 b b
a a c c a a
a a c c b b
a b 0 0 a b
a b 0 0 b a
a b 0 c a b
a b 0 c b a
a b c 0 a b
a b c 0 b a
a b c c a b
a b c c b a
c c 0 0 c c
c c 0 0 0 0
c c 0 c c c
c c 0 c 0 0
c c c 0 c c
c c c 0 0 0
c c c c c c
c c c c 0 0
c 0 0 0 c 0
c 0 0 0 0 c
c 0 0 c c 0
c 0 0 c 0 c
c 0 c 0 c 0
c 0 c 0 0 c
c 0 c c c 0
c 0 c c 0 c
dmin: 1
Weight Enumerator: 1x0 + 2x1 + 7x2 + 12x3 + 15x4 + 18x5 + 9x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_b)4 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_b)4 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_b)4 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)4 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)4 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)4 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_c)6 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4
Dual Codewords:
0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0
0 0 a 0 0 0
0 0 a a 0 0
0 0 a b 0 0
0 0 a c 0 0
0 0 b 0 0 0
0 0 b a 0 0
0 0 b b 0 0
0 0 b c 0 0
0 0 c 0 0 0
0 0 c a 0 0
0 0 c b 0 0
0 0 c c 0 0
Is it a nice code?: No
Generator Matrix-315
a a 0 0 a a
b b 0 0 b b
0 c 0 0 0 c
0 0 c 0 0 0
0 0 0 c 0 c
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 c
0 0 0 c c c
0 0 c 0 0 0
0 0 c 0 c 0
0 0 c c 0 c
0 0 c c c c
0 c 0 0 0 c
0 c 0 0 c c
0 c 0 c 0 0
0 c 0 c c 0
0 c c 0 0 c
0 c c 0 c c
0 c c c 0 0
0 c c c c 0
b b 0 0 b b
b b 0 0 a b
b b 0 c b a
b b 0 c a a
b b c 0 b b
b b c 0 a b
b b c c b a
b b c c a a
b a 0 0 b a
b a 0 0 a a
b a 0 c b b
b a 0 c a b
b a c 0 b a
b a c 0 a a
b a c c b b
b a c c a b
a a 0 0 a a
a a 0 0 b a
a a 0 c a b
a a 0 c b b
a a c 0 a a
a a c 0 b a
a a c c a b
a a c c b b
a b 0 0 a b
a b 0 0 b b
a b 0 c a a
a b 0 c b a
a b c 0 a b
a b c 0 b b
a b c c a a
a b c c b a
c c 0 0 c c
c c 0 0 0 c
c c 0 c c 0
c c 0 c 0 0
c c c 0 c c
c c c 0 0 c
c c c c c 0
c c c c 0 0
c 0 0 0 c 0
c 0 0 0 0 0
c 0 0 c c c
c 0 0 c 0 c
c 0 c 0 c 0
c 0 c 0 0 0
c 0 c c c c
c 0 c c 0 c
dmin: 1
Weight Enumerator: 1x0 + 3x1 + 6x2 + 10x3 + 17x4 + 19x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_b)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_b)4 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)4 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4
Dual Codewords:
0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0
0 0 a 0 0 0
0 0 a a 0 0
0 0 a b 0 0
0 0 a c 0 0
0 0 b 0 0 0
0 0 b a 0 0
0 0 b b 0 0
0 0 b c 0 0
0 0 c 0 0 0
0 0 c a 0 0
0 0 c b 0 0
0 0 c c 0 0
Is it a nice code?: No
Generator Matrix-316
a a 0 0 a a
b b 0 0 b b
0 c 0 0 0 c
0 0 c 0 0 0
0 0 0 c 0 c
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 c
0 0 0 c c 0
0 0 c 0 0 0
0 0 c 0 c c
0 0 c c 0 c
0 0 c c c 0
0 c 0 0 0 c
0 c 0 0 c 0
0 c 0 c 0 0
0 c 0 c c c
0 c c 0 0 c
0 c c 0 c 0
0 c c c 0 0
0 c c c c c
b b 0 0 b b
b b 0 0 a a
b b 0 c b a
b b 0 c a b
b b c 0 b b
b b c 0 a a
b b c c b a
b b c c a b
b a 0 0 b a
b a 0 0 a b
b a 0 c b b
b a 0 c a a
b a c 0 b a
b a c 0 a b
b a c c b b
b a c c a a
a a 0 0 a a
a a 0 0 b b
a a 0 c a b
a a 0 c b a
a a c 0 a a
a a c 0 b b
a a c c a b
a a c c b a
a b 0 0 a b
a b 0 0 b a
a b 0 c a a
a b 0 c b b
a b c 0 a b
a b c 0 b a
a b c c a a
a b c c b b
c c 0 0 c c
c c 0 0 0 0
c c 0 c c 0
c c 0 c 0 c
c c c 0 c c
c c c 0 0 0
c c c c c 0
c c c c 0 c
c 0 0 0 c 0
c 0 0 0 0 c
c 0 0 c c c
c 0 0 c 0 0
c 0 c 0 c 0
c 0 c 0 0 c
c 0 c c c c
c 0 c c 0 0
dmin: 1
Weight Enumerator: 1x0 + 1x1 + 10x2 + 10x3 + 13x4 + 21x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_b)4 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)4 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3
Dual Codewords:
0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0
0 0 a 0 0 0
0 0 a a 0 0
0 0 a b 0 0
0 0 a c 0 0
0 0 b 0 0 0
0 0 b a 0 0
0 0 b b 0 0
0 0 b c 0 0
0 0 c 0 0 0
0 0 c a 0 0
0 0 c b 0 0
0 0 c c 0 0
Is it a nice code?: No
Generator Matrix-317
a a 0 0 a a
b b 0 0 b b
0 c 0 0 0 c
0 0 c 0 0 c
0 0 0 c 0 0
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 0
0 0 0 c c 0
0 0 c 0 0 c
0 0 c 0 c c
0 0 c c 0 c
0 0 c c c c
0 c 0 0 0 c
0 c 0 0 c c
0 c 0 c 0 c
0 c 0 c c c
0 c c 0 0 0
0 c c 0 c 0
0 c c c 0 0
0 c c c c 0
b b 0 0 b b
b b 0 0 a b
b b 0 c b b
b b 0 c a b
b b c 0 b a
b b c 0 a a
b b c c b a
b b c c a a
b a 0 0 b a
b a 0 0 a a
b a 0 c b a
b a 0 c a a
b a c 0 b b
b a c 0 a b
b a c c b b
b a c c a b
a a 0 0 a a
a a 0 0 b a
a a 0 c a a
a a 0 c b a
a a c 0 a b
a a c 0 b b
a a c c a b
a a c c b b
a b 0 0 a b
a b 0 0 b b
a b 0 c a b
a b 0 c b b
a b c 0 a a
a b c 0 b a
a b c c a a
a b c c b a
c c 0 0 c c
c c 0 0 0 c
c c 0 c c c
c c 0 c 0 c
c c c 0 c 0
c c c 0 0 0
c c c c c 0
c c c c 0 0
c 0 0 0 c 0
c 0 0 0 0 0
c 0 0 c c 0
c 0 0 c 0 0
c 0 c 0 c c
c 0 c 0 0 c
c 0 c c c c
c 0 c c 0 c
dmin: 1
Weight Enumerator: 1x0 + 3x1 + 6x2 + 10x3 + 17x4 + 19x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_b)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_b)4 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)4 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4
Dual Codewords:
0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0
0 0 a 0 0 0
0 0 a a 0 0
0 0 a b 0 0
0 0 a c 0 0
0 0 b 0 0 0
0 0 b a 0 0
0 0 b b 0 0
0 0 b c 0 0
0 0 c 0 0 0
0 0 c a 0 0
0 0 c b 0 0
0 0 c c 0 0
Is it a nice code?: No
Generator Matrix-318
a a 0 0 a a
b b 0 0 b b
0 c 0 0 0 c
0 0 c 0 0 c
0 0 0 c 0 0
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 0
0 0 0 c c c
0 0 c 0 0 c
0 0 c 0 c 0
0 0 c c 0 c
0 0 c c c 0
0 c 0 0 0 c
0 c 0 0 c 0
0 c 0 c 0 c
0 c 0 c c 0
0 c c 0 0 0
0 c c 0 c c
0 c c c 0 0
0 c c c c c
b b 0 0 b b
b b 0 0 a a
b b 0 c b b
b b 0 c a a
b b c 0 b a
b b c 0 a b
b b c c b a
b b c c a b
b a 0 0 b a
b a 0 0 a b
b a 0 c b a
b a 0 c a b
b a c 0 b b
b a c 0 a a
b a c c b b
b a c c a a
a a 0 0 a a
a a 0 0 b b
a a 0 c a a
a a 0 c b b
a a c 0 a b
a a c 0 b a
a a c c a b
a a c c b a
a b 0 0 a b
a b 0 0 b a
a b 0 c a b
a b 0 c b a
a b c 0 a a
a b c 0 b b
a b c c a a
a b c c b b
c c 0 0 c c
c c 0 0 0 0
c c 0 c c c
c c 0 c 0 0
c c c 0 c 0
c c c 0 0 c
c c c c c 0
c c c c 0 c
c 0 0 0 c 0
c 0 0 0 0 c
c 0 0 c c 0
c 0 0 c 0 c
c 0 c 0 c c
c 0 c 0 0 0
c 0 c c c c
c 0 c c 0 0
dmin: 1
Weight Enumerator: 1x0 + 1x1 + 10x2 + 10x3 + 13x4 + 21x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_b)4 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)4 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3
Dual Codewords:
0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0
0 0 a 0 0 0
0 0 a a 0 0
0 0 a b 0 0
0 0 a c 0 0
0 0 b 0 0 0
0 0 b a 0 0
0 0 b b 0 0
0 0 b c 0 0
0 0 c 0 0 0
0 0 c a 0 0
0 0 c b 0 0
0 0 c c 0 0
Is it a nice code?: No
Generator Matrix-319
a a 0 0 a a
b b 0 0 b b
0 c 0 0 0 c
0 0 c 0 0 c
0 0 0 c 0 c
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 c
0 0 0 c c c
0 0 c 0 0 c
0 0 c 0 c c
0 0 c c 0 0
0 0 c c c 0
0 c 0 0 0 c
0 c 0 0 c c
0 c 0 c 0 0
0 c 0 c c 0
0 c c 0 0 0
0 c c 0 c 0
0 c c c 0 c
0 c c c c c
b b 0 0 b b
b b 0 0 a b
b b 0 c b a
b b 0 c a a
b b c 0 b a
b b c 0 a a
b b c c b b
b b c c a b
b a 0 0 b a
b a 0 0 a a
b a 0 c b b
b a 0 c a b
b a c 0 b b
b a c 0 a b
b a c c b a
b a c c a a
a a 0 0 a a
a a 0 0 b a
a a 0 c a b
a a 0 c b b
a a c 0 a b
a a c 0 b b
a a c c a a
a a c c b a
a b 0 0 a b
a b 0 0 b b
a b 0 c a a
a b 0 c b a
a b c 0 a a
a b c 0 b a
a b c c a b
a b c c b b
c c 0 0 c c
c c 0 0 0 c
c c 0 c c 0
c c 0 c 0 0
c c c 0 c 0
c c c 0 0 0
c c c c c c
c c c c 0 c
c 0 0 0 c 0
c 0 0 0 0 0
c 0 0 c c c
c 0 0 c 0 c
c 0 c 0 c c
c 0 c 0 0 c
c 0 c c c 0
c 0 c c 0 0
dmin: 1
Weight Enumerator: 1x0 + 2x1 + 7x2 + 12x3 + 15x4 + 18x5 + 9x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)2 (X_b)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_b)4 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)4 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_c)6 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3
Dual Codewords:
0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0
0 0 a 0 0 0
0 0 a a 0 0
0 0 a b 0 0
0 0 a c 0 0
0 0 b 0 0 0
0 0 b a 0 0
0 0 b b 0 0
0 0 b c 0 0
0 0 c 0 0 0
0 0 c a 0 0
0 0 c b 0 0
0 0 c c 0 0
Is it a nice code?: No
Generator Matrix-320
a a 0 0 a a
b b 0 0 b b
0 c 0 0 0 c
0 0 c 0 0 c
0 0 0 c 0 c
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 c
0 0 0 c c 0
0 0 c 0 0 c
0 0 c 0 c 0
0 0 c c 0 0
0 0 c c c c
0 c 0 0 0 c
0 c 0 0 c 0
0 c 0 c 0 0
0 c 0 c c c
0 c c 0 0 0
0 c c 0 c c
0 c c c 0 c
0 c c c c 0
b b 0 0 b b
b b 0 0 a a
b b 0 c b a
b b 0 c a b
b b c 0 b a
b b c 0 a b
b b c c b b
b b c c a a
b a 0 0 b a
b a 0 0 a b
b a 0 c b b
b a 0 c a a
b a c 0 b b
b a c 0 a a
b a c c b a
b a c c a b
a a 0 0 a a
a a 0 0 b b
a a 0 c a b
a a 0 c b a
a a c 0 a b
a a c 0 b a
a a c c a a
a a c c b b
a b 0 0 a b
a b 0 0 b a
a b 0 c a a
a b 0 c b b
a b c 0 a a
a b c 0 b b
a b c c a b
a b c c b a
c c 0 0 c c
c c 0 0 0 0
c c 0 c c 0
c c 0 c 0 c
c c c 0 c 0
c c c 0 0 c
c c c c c c
c c c c 0 0
c 0 0 0 c 0
c 0 0 0 0 c
c 0 0 c c c
c 0 0 c 0 0
c 0 c 0 c c
c 0 c 0 0 0
c 0 c c c 0
c 0 c c 0 c
dmin: 2
Weight Enumerator: 1x0 + 0x1 + 15x2 + 0x3 + 23x4 + 16x5 + 9x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_b)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_b)4 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)4 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_c)6 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4
Dual Codewords:
0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0
0 0 a 0 0 0
0 0 a a 0 0
0 0 a b 0 0
0 0 a c 0 0
0 0 b 0 0 0
0 0 b a 0 0
0 0 b b 0 0
0 0 b c 0 0
0 0 c 0 0 0
0 0 c a 0 0
0 0 c b 0 0
0 0 c c 0 0
Is it a nice code?: No
Generator Matrix-321
a a 0 a 0 0
b b 0 b 0 0
0 c 0 0 0 0
0 0 c 0 0 0
0 0 0 c 0 0
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 0
0 0 0 c c 0
0 0 c 0 0 0
0 0 c 0 c 0
0 0 c c 0 0
0 0 c c c 0
0 c 0 0 0 0
0 c 0 0 c 0
0 c 0 c 0 0
0 c 0 c c 0
0 c c 0 0 0
0 c c 0 c 0
0 c c c 0 0
0 c c c c 0
b b 0 b 0 0
b b 0 b c 0
b b 0 a 0 0
b b 0 a c 0
b b c b 0 0
b b c b c 0
b b c a 0 0
b b c a c 0
b a 0 b 0 0
b a 0 b c 0
b a 0 a 0 0
b a 0 a c 0
b a c b 0 0
b a c b c 0
b a c a 0 0
b a c a c 0
a a 0 a 0 0
a a 0 a c 0
a a 0 b 0 0
a a 0 b c 0
a a c a 0 0
a a c a c 0
a a c b 0 0
a a c b c 0
a b 0 a 0 0
a b 0 a c 0
a b 0 b 0 0
a b 0 b c 0
a b c a 0 0
a b c a c 0
a b c b 0 0
a b c b c 0
c c 0 c 0 0
c c 0 c c 0
c c 0 0 0 0
c c 0 0 c 0
c c c c 0 0
c c c c c 0
c c c 0 0 0
c c c 0 c 0
c 0 0 c 0 0
c 0 0 c c 0
c 0 0 0 0 0
c 0 0 0 c 0
c 0 c c 0 0
c 0 c c c 0
c 0 c 0 0 0
c 0 c 0 c 0
dmin: 1
Weight Enumerator: 1x0 + 5x1 + 10x2 + 18x3 + 21x4 + 9x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_b)3 + (X_0)2 (X_b)3 (X_c)1 + (X_0)3 (X_a)1 (X_b)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_b)3 (X_c)1 + (X_0)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)1 (X_b)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_a)2 (X_b)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)3 (X_c)1 + (X_0)3 (X_a)2 (X_b)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)3 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)2 (X_b)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_a)1 (X_b)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 a 0 a 0
0 0 a 0 a a
0 0 a 0 a b
0 0 a 0 a c
0 0 a 0 b 0
0 0 a 0 b a
0 0 a 0 b b
0 0 a 0 b c
0 0 a 0 c 0
0 0 a 0 c a
0 0 a 0 c b
0 0 a 0 c c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 b 0 a 0
0 0 b 0 a a
0 0 b 0 a b
0 0 b 0 a c
0 0 b 0 b 0
0 0 b 0 b a
0 0 b 0 b b
0 0 b 0 b c
0 0 b 0 c 0
0 0 b 0 c a
0 0 b 0 c b
0 0 b 0 c c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c
0 0 c 0 a 0
0 0 c 0 a a
0 0 c 0 a b
0 0 c 0 a c
0 0 c 0 b 0
0 0 c 0 b a
0 0 c 0 b b
0 0 c 0 b c
0 0 c 0 c 0
0 0 c 0 c a
0 0 c 0 c b
0 0 c 0 c c
Is it a nice code?: Yes
Generator Matrix-322
a a 0 a 0 0
b b 0 b 0 0
0 c 0 0 0 0
0 0 c 0 0 0
0 0 0 c 0 0
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 0
0 0 0 c c c
0 0 c 0 0 0
0 0 c 0 c c
0 0 c c 0 0
0 0 c c c c
0 c 0 0 0 0
0 c 0 0 c c
0 c 0 c 0 0
0 c 0 c c c
0 c c 0 0 0
0 c c 0 c c
0 c c c 0 0
0 c c c c c
b b 0 b 0 0
b b 0 b c c
b b 0 a 0 0
b b 0 a c c
b b c b 0 0
b b c b c c
b b c a 0 0
b b c a c c
b a 0 b 0 0
b a 0 b c c
b a 0 a 0 0
b a 0 a c c
b a c b 0 0
b a c b c c
b a c a 0 0
b a c a c c
a a 0 a 0 0
a a 0 a c c
a a 0 b 0 0
a a 0 b c c
a a c a 0 0
a a c a c c
a a c b 0 0
a a c b c c
a b 0 a 0 0
a b 0 a c c
a b 0 b 0 0
a b 0 b c c
a b c a 0 0
a b c a c c
a b c b 0 0
a b c b c c
c c 0 c 0 0
c c 0 c c c
c c 0 0 0 0
c c 0 0 c c
c c c c 0 0
c c c c c c
c c c 0 0 0
c c c 0 c c
c 0 0 c 0 0
c 0 0 c c c
c 0 0 0 0 0
c 0 0 0 c c
c 0 c c 0 0
c 0 c c c c
c 0 c 0 0 0
c 0 c 0 c c
dmin: 1
Weight Enumerator: 1x0 + 4x1 + 7x2 + 16x3 + 15x4 + 12x5 + 9x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)3 (X_b)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)1 (X_b)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_b)3 (X_c)1 + (X_b)3 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)2 (X_b)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_a)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)3 (X_a)2 (X_b)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)3 (X_c)1 + (X_a)3 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)1 (X_b)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_c)6 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 a 0 a 0
0 0 a 0 a a
0 0 a 0 a b
0 0 a 0 a c
0 0 a 0 b 0
0 0 a 0 b a
0 0 a 0 b b
0 0 a 0 b c
0 0 a 0 c 0
0 0 a 0 c a
0 0 a 0 c b
0 0 a 0 c c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 b 0 a 0
0 0 b 0 a a
0 0 b 0 a b
0 0 b 0 a c
0 0 b 0 b 0
0 0 b 0 b a
0 0 b 0 b b
0 0 b 0 b c
0 0 b 0 c 0
0 0 b 0 c a
0 0 b 0 c b
0 0 b 0 c c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c
0 0 c 0 a 0
0 0 c 0 a a
0 0 c 0 a b
0 0 c 0 a c
0 0 c 0 b 0
0 0 c 0 b a
0 0 c 0 b b
0 0 c 0 b c
0 0 c 0 c 0
0 0 c 0 c a
0 0 c 0 c b
0 0 c 0 c c
Is it a nice code?: Yes
Generator Matrix-323
a a 0 a 0 0
b b 0 b 0 0
0 c 0 0 0 0
0 0 c 0 0 0
0 0 0 c 0 c
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 c
0 0 0 c c c
0 0 c 0 0 0
0 0 c 0 c 0
0 0 c c 0 c
0 0 c c c c
0 c 0 0 0 0
0 c 0 0 c 0
0 c 0 c 0 c
0 c 0 c c c
0 c c 0 0 0
0 c c 0 c 0
0 c c c 0 c
0 c c c c c
b b 0 b 0 0
b b 0 b c 0
b b 0 a 0 c
b b 0 a c c
b b c b 0 0
b b c b c 0
b b c a 0 c
b b c a c c
b a 0 b 0 0
b a 0 b c 0
b a 0 a 0 c
b a 0 a c c
b a c b 0 0
b a c b c 0
b a c a 0 c
b a c a c c
a a 0 a 0 0
a a 0 a c 0
a a 0 b 0 c
a a 0 b c c
a a c a 0 0
a a c a c 0
a a c b 0 c
a a c b c c
a b 0 a 0 0
a b 0 a c 0
a b 0 b 0 c
a b 0 b c c
a b c a 0 0
a b c a c 0
a b c b 0 c
a b c b c c
c c 0 c 0 0
c c 0 c c 0
c c 0 0 0 c
c c 0 0 c c
c c c c 0 0
c c c c c 0
c c c 0 0 c
c c c 0 c c
c 0 0 c 0 0
c 0 0 c c 0
c 0 0 0 0 c
c 0 0 0 c c
c 0 c c 0 0
c 0 c c c 0
c 0 c 0 0 c
c 0 c 0 c c
dmin: 1
Weight Enumerator: 1x0 + 3x1 + 6x2 + 14x3 + 21x4 + 15x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)3 (X_b)3 + (X_0)2 (X_b)3 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_b)3 (X_c)1 + (X_0)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_a)3 + (X_0)2 (X_a)3 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)3 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 a 0 a 0
0 0 a 0 a a
0 0 a 0 a b
0 0 a 0 a c
0 0 a 0 b 0
0 0 a 0 b a
0 0 a 0 b b
0 0 a 0 b c
0 0 a 0 c 0
0 0 a 0 c a
0 0 a 0 c b
0 0 a 0 c c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 b 0 a 0
0 0 b 0 a a
0 0 b 0 a b
0 0 b 0 a c
0 0 b 0 b 0
0 0 b 0 b a
0 0 b 0 b b
0 0 b 0 b c
0 0 b 0 c 0
0 0 b 0 c a
0 0 b 0 c b
0 0 b 0 c c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c
0 0 c 0 a 0
0 0 c 0 a a
0 0 c 0 a b
0 0 c 0 a c
0 0 c 0 b 0
0 0 c 0 b a
0 0 c 0 b b
0 0 c 0 b c
0 0 c 0 c 0
0 0 c 0 c a
0 0 c 0 c b
0 0 c 0 c c
Is it a nice code?: Yes
Generator Matrix-324
a a 0 a 0 0
b b 0 b 0 0
0 c 0 0 0 0
0 0 c 0 0 0
0 0 0 c 0 c
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 c
0 0 0 c c 0
0 0 c 0 0 0
0 0 c 0 c c
0 0 c c 0 c
0 0 c c c 0
0 c 0 0 0 0
0 c 0 0 c c
0 c 0 c 0 c
0 c 0 c c 0
0 c c 0 0 0
0 c c 0 c c
0 c c c 0 c
0 c c c c 0
b b 0 b 0 0
b b 0 b c c
b b 0 a 0 c
b b 0 a c 0
b b c b 0 0
b b c b c c
b b c a 0 c
b b c a c 0
b a 0 b 0 0
b a 0 b c c
b a 0 a 0 c
b a 0 a c 0
b a c b 0 0
b a c b c c
b a c a 0 c
b a c a c 0
a a 0 a 0 0
a a 0 a c c
a a 0 b 0 c
a a 0 b c 0
a a c a 0 0
a a c a c c
a a c b 0 c
a a c b c 0
a b 0 a 0 0
a b 0 a c c
a b 0 b 0 c
a b 0 b c 0
a b c a 0 0
a b c a c c
a b c b 0 c
a b c b c 0
c c 0 c 0 0
c c 0 c c c
c c 0 0 0 c
c c 0 0 c 0
c c c c 0 0
c c c c c c
c c c 0 0 c
c c c 0 c 0
c 0 0 c 0 0
c 0 0 c c c
c 0 0 0 0 c
c 0 0 0 c 0
c 0 c c 0 0
c 0 c c c c
c 0 c 0 0 c
c 0 c 0 c 0
dmin: 1
Weight Enumerator: 1x0 + 2x1 + 7x2 + 16x3 + 19x4 + 14x5 + 5x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)3 (X_b)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_b)3 (X_c)1 + (X_b)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)1 (X_b)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)3 (X_c)1 + (X_a)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)2 (X_b)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_c)6 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 a 0 a 0
0 0 a 0 a a
0 0 a 0 a b
0 0 a 0 a c
0 0 a 0 b 0
0 0 a 0 b a
0 0 a 0 b b
0 0 a 0 b c
0 0 a 0 c 0
0 0 a 0 c a
0 0 a 0 c b
0 0 a 0 c c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 b 0 a 0
0 0 b 0 a a
0 0 b 0 a b
0 0 b 0 a c
0 0 b 0 b 0
0 0 b 0 b a
0 0 b 0 b b
0 0 b 0 b c
0 0 b 0 c 0
0 0 b 0 c a
0 0 b 0 c b
0 0 b 0 c c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c
0 0 c 0 a 0
0 0 c 0 a a
0 0 c 0 a b
0 0 c 0 a c
0 0 c 0 b 0
0 0 c 0 b a
0 0 c 0 b b
0 0 c 0 b c
0 0 c 0 c 0
0 0 c 0 c a
0 0 c 0 c b
0 0 c 0 c c
Is it a nice code?: Yes
Generator Matrix-325
a a 0 a 0 0
b b 0 b 0 0
0 c 0 0 0 0
0 0 c 0 0 c
0 0 0 c 0 0
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 0
0 0 0 c c 0
0 0 c 0 0 c
0 0 c 0 c c
0 0 c c 0 c
0 0 c c c c
0 c 0 0 0 0
0 c 0 0 c 0
0 c 0 c 0 0
0 c 0 c c 0
0 c c 0 0 c
0 c c 0 c c
0 c c c 0 c
0 c c c c c
b b 0 b 0 0
b b 0 b c 0
b b 0 a 0 0
b b 0 a c 0
b b c b 0 c
b b c b c c
b b c a 0 c
b b c a c c
b a 0 b 0 0
b a 0 b c 0
b a 0 a 0 0
b a 0 a c 0
b a c b 0 c
b a c b c c
b a c a 0 c
b a c a c c
a a 0 a 0 0
a a 0 a c 0
a a 0 b 0 0
a a 0 b c 0
a a c a 0 c
a a c a c c
a a c b 0 c
a a c b c c
a b 0 a 0 0
a b 0 a c 0
a b 0 b 0 0
a b 0 b c 0
a b c a 0 c
a b c a c c
a b c b 0 c
a b c b c c
c c 0 c 0 0
c c 0 c c 0
c c 0 0 0 0
c c 0 0 c 0
c c c c 0 c
c c c c c c
c c c 0 0 c
c c c 0 c c
c 0 0 c 0 0
c 0 0 c c 0
c 0 0 0 0 0
c 0 0 0 c 0
c 0 c c 0 c
c 0 c c c c
c 0 c 0 0 c
c 0 c 0 c c
dmin: 1
Weight Enumerator: 1x0 + 4x1 + 7x2 + 16x3 + 15x4 + 12x5 + 9x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)3 (X_b)3 + (X_0)2 (X_b)3 (X_c)1 + (X_0)3 (X_a)1 (X_b)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_b)3 (X_c)2 + (X_b)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_a)2 (X_b)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_a)3 + (X_0)2 (X_a)3 (X_c)1 + (X_0)3 (X_a)2 (X_b)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_a)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_a)1 (X_b)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_c)6 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 a 0 a 0
0 0 a 0 a a
0 0 a 0 a b
0 0 a 0 a c
0 0 a 0 b 0
0 0 a 0 b a
0 0 a 0 b b
0 0 a 0 b c
0 0 a 0 c 0
0 0 a 0 c a
0 0 a 0 c b
0 0 a 0 c c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 b 0 a 0
0 0 b 0 a a
0 0 b 0 a b
0 0 b 0 a c
0 0 b 0 b 0
0 0 b 0 b a
0 0 b 0 b b
0 0 b 0 b c
0 0 b 0 c 0
0 0 b 0 c a
0 0 b 0 c b
0 0 b 0 c c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c
0 0 c 0 a 0
0 0 c 0 a a
0 0 c 0 a b
0 0 c 0 a c
0 0 c 0 b 0
0 0 c 0 b a
0 0 c 0 b b
0 0 c 0 b c
0 0 c 0 c 0
0 0 c 0 c a
0 0 c 0 c b
0 0 c 0 c c
Is it a nice code?: Yes
Generator Matrix-326
a a 0 a 0 0
b b 0 b 0 0
0 c 0 0 0 0
0 0 c 0 0 c
0 0 0 c 0 0
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 0
0 0 0 c c c
0 0 c 0 0 c
0 0 c 0 c 0
0 0 c c 0 c
0 0 c c c 0
0 c 0 0 0 0
0 c 0 0 c c
0 c 0 c 0 0
0 c 0 c c c
0 c c 0 0 c
0 c c 0 c 0
0 c c c 0 c
0 c c c c 0
b b 0 b 0 0
b b 0 b c c
b b 0 a 0 0
b b 0 a c c
b b c b 0 c
b b c b c 0
b b c a 0 c
b b c a c 0
b a 0 b 0 0
b a 0 b c c
b a 0 a 0 0
b a 0 a c c
b a c b 0 c
b a c b c 0
b a c a 0 c
b a c a c 0
a a 0 a 0 0
a a 0 a c c
a a 0 b 0 0
a a 0 b c c
a a c a 0 c
a a c a c 0
a a c b 0 c
a a c b c 0
a b 0 a 0 0
a b 0 a c c
a b 0 b 0 0
a b 0 b c c
a b c a 0 c
a b c a c 0
a b c b 0 c
a b c b c 0
c c 0 c 0 0
c c 0 c c c
c c 0 0 0 0
c c 0 0 c c
c c c c 0 c
c c c c c 0
c c c 0 0 c
c c c 0 c 0
c 0 0 c 0 0
c 0 0 c c c
c 0 0 0 0 0
c 0 0 0 c c
c 0 c c 0 c
c 0 c c c 0
c 0 c 0 0 c
c 0 c 0 c 0
dmin: 1
Weight Enumerator: 1x0 + 3x1 + 6x2 + 18x3 + 9x4 + 27x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)3 (X_b)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)1 (X_b)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_b)3 (X_c)2 + (X_0)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)1 (X_b)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)2 (X_b)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)3 (X_a)2 (X_b)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)2 (X_b)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)1 (X_b)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 a 0 a 0
0 0 a 0 a a
0 0 a 0 a b
0 0 a 0 a c
0 0 a 0 b 0
0 0 a 0 b a
0 0 a 0 b b
0 0 a 0 b c
0 0 a 0 c 0
0 0 a 0 c a
0 0 a 0 c b
0 0 a 0 c c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 b 0 a 0
0 0 b 0 a a
0 0 b 0 a b
0 0 b 0 a c
0 0 b 0 b 0
0 0 b 0 b a
0 0 b 0 b b
0 0 b 0 b c
0 0 b 0 c 0
0 0 b 0 c a
0 0 b 0 c b
0 0 b 0 c c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c
0 0 c 0 a 0
0 0 c 0 a a
0 0 c 0 a b
0 0 c 0 a c
0 0 c 0 b 0
0 0 c 0 b a
0 0 c 0 b b
0 0 c 0 b c
0 0 c 0 c 0
0 0 c 0 c a
0 0 c 0 c b
0 0 c 0 c c
Is it a nice code?: Yes
Generator Matrix-327
a a 0 a 0 0
b b 0 b 0 0
0 c 0 0 0 0
0 0 c 0 0 c
0 0 0 c 0 c
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 c
0 0 0 c c c
0 0 c 0 0 c
0 0 c 0 c c
0 0 c c 0 0
0 0 c c c 0
0 c 0 0 0 0
0 c 0 0 c 0
0 c 0 c 0 c
0 c 0 c c c
0 c c 0 0 c
0 c c 0 c c
0 c c c 0 0
0 c c c c 0
b b 0 b 0 0
b b 0 b c 0
b b 0 a 0 c
b b 0 a c c
b b c b 0 c
b b c b c c
b b c a 0 0
b b c a c 0
b a 0 b 0 0
b a 0 b c 0
b a 0 a 0 c
b a 0 a c c
b a c b 0 c
b a c b c c
b a c a 0 0
b a c a c 0
a a 0 a 0 0
a a 0 a c 0
a a 0 b 0 c
a a 0 b c c
a a c a 0 c
a a c a c c
a a c b 0 0
a a c b c 0
a b 0 a 0 0
a b 0 a c 0
a b 0 b 0 c
a b 0 b c c
a b c a 0 c
a b c a c c
a b c b 0 0
a b c b c 0
c c 0 c 0 0
c c 0 c c 0
c c 0 0 0 c
c c 0 0 c c
c c c c 0 c
c c c c c c
c c c 0 0 0
c c c 0 c 0
c 0 0 c 0 0
c 0 0 c c 0
c 0 0 0 0 c
c 0 0 0 c c
c 0 c c 0 c
c 0 c c c c
c 0 c 0 0 0
c 0 c 0 c 0
dmin: 1
Weight Enumerator: 1x0 + 2x1 + 7x2 + 16x3 + 19x4 + 14x5 + 5x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_b)3 + (X_0)2 (X_b)3 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_b)3 (X_c)2 + (X_b)3 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)1 (X_b)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)3 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_c)2 + (X_a)3 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)2 (X_b)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_c)6 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 a 0 a 0
0 0 a 0 a a
0 0 a 0 a b
0 0 a 0 a c
0 0 a 0 b 0
0 0 a 0 b a
0 0 a 0 b b
0 0 a 0 b c
0 0 a 0 c 0
0 0 a 0 c a
0 0 a 0 c b
0 0 a 0 c c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 b 0 a 0
0 0 b 0 a a
0 0 b 0 a b
0 0 b 0 a c
0 0 b 0 b 0
0 0 b 0 b a
0 0 b 0 b b
0 0 b 0 b c
0 0 b 0 c 0
0 0 b 0 c a
0 0 b 0 c b
0 0 b 0 c c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c
0 0 c 0 a 0
0 0 c 0 a a
0 0 c 0 a b
0 0 c 0 a c
0 0 c 0 b 0
0 0 c 0 b a
0 0 c 0 b b
0 0 c 0 b c
0 0 c 0 c 0
0 0 c 0 c a
0 0 c 0 c b
0 0 c 0 c c
Is it a nice code?: Yes
Generator Matrix-328
a a 0 a 0 0
b b 0 b 0 0
0 c 0 0 0 0
0 0 c 0 0 c
0 0 0 c 0 c
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 c
0 0 0 c c 0
0 0 c 0 0 c
0 0 c 0 c 0
0 0 c c 0 0
0 0 c c c c
0 c 0 0 0 0
0 c 0 0 c c
0 c 0 c 0 c
0 c 0 c c 0
0 c c 0 0 c
0 c c 0 c 0
0 c c c 0 0
0 c c c c c
b b 0 b 0 0
b b 0 b c c
b b 0 a 0 c
b b 0 a c 0
b b c b 0 c
b b c b c 0
b b c a 0 0
b b c a c c
b a 0 b 0 0
b a 0 b c c
b a 0 a 0 c
b a 0 a c 0
b a c b 0 c
b a c b c 0
b a c a 0 0
b a c a c c
a a 0 a 0 0
a a 0 a c c
a a 0 b 0 c
a a 0 b c 0
a a c a 0 c
a a c a c 0
a a c b 0 0
a a c b c c
a b 0 a 0 0
a b 0 a c c
a b 0 b 0 c
a b 0 b c 0
a b c a 0 c
a b c a c 0
a b c b 0 0
a b c b c c
c c 0 c 0 0
c c 0 c c c
c c 0 0 0 c
c c 0 0 c 0
c c c c 0 c
c c c c c 0
c c c 0 0 0
c c c 0 c c
c 0 0 c 0 0
c 0 0 c c c
c 0 0 0 0 c
c 0 0 0 c 0
c 0 c c 0 c
c 0 c c c 0
c 0 c 0 0 0
c 0 c 0 c c
dmin: 1
Weight Enumerator: 1x0 + 1x1 + 10x2 + 14x3 + 17x4 + 17x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)3 (X_b)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_b)3 (X_c)2 + (X_0)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_a)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)3 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 a 0 a 0
0 0 a 0 a a
0 0 a 0 a b
0 0 a 0 a c
0 0 a 0 b 0
0 0 a 0 b a
0 0 a 0 b b
0 0 a 0 b c
0 0 a 0 c 0
0 0 a 0 c a
0 0 a 0 c b
0 0 a 0 c c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 b 0 a 0
0 0 b 0 a a
0 0 b 0 a b
0 0 b 0 a c
0 0 b 0 b 0
0 0 b 0 b a
0 0 b 0 b b
0 0 b 0 b c
0 0 b 0 c 0
0 0 b 0 c a
0 0 b 0 c b
0 0 b 0 c c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c
0 0 c 0 a 0
0 0 c 0 a a
0 0 c 0 a b
0 0 c 0 a c
0 0 c 0 b 0
0 0 c 0 b a
0 0 c 0 b b
0 0 c 0 b c
0 0 c 0 c 0
0 0 c 0 c a
0 0 c 0 c b
0 0 c 0 c c
Is it a nice code?: Yes
Generator Matrix-329
a a 0 a 0 0
b b 0 b 0 0
0 c 0 0 0 c
0 0 c 0 0 0
0 0 0 c 0 0
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 0
0 0 0 c c 0
0 0 c 0 0 0
0 0 c 0 c 0
0 0 c c 0 0
0 0 c c c 0
0 c 0 0 0 c
0 c 0 0 c c
0 c 0 c 0 c
0 c 0 c c c
0 c c 0 0 c
0 c c 0 c c
0 c c c 0 c
0 c c c c c
b b 0 b 0 0
b b 0 b c 0
b b 0 a 0 0
b b 0 a c 0
b b c b 0 0
b b c b c 0
b b c a 0 0
b b c a c 0
b a 0 b 0 c
b a 0 b c c
b a 0 a 0 c
b a 0 a c c
b a c b 0 c
b a c b c c
b a c a 0 c
b a c a c c
a a 0 a 0 0
a a 0 a c 0
a a 0 b 0 0
a a 0 b c 0
a a c a 0 0
a a c a c 0
a a c b 0 0
a a c b c 0
a b 0 a 0 c
a b 0 a c c
a b 0 b 0 c
a b 0 b c c
a b c a 0 c
a b c a c c
a b c b 0 c
a b c b c c
c c 0 c 0 0
c c 0 c c 0
c c 0 0 0 0
c c 0 0 c 0
c c c c 0 0
c c c c c 0
c c c 0 0 0
c c c 0 c 0
c 0 0 c 0 c
c 0 0 c c c
c 0 0 0 0 c
c 0 0 0 c c
c 0 c c 0 c
c 0 c c c c
c 0 c 0 0 c
c 0 c 0 c c
dmin: 1
Weight Enumerator: 1x0 + 3x1 + 6x2 + 14x3 + 21x4 + 15x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)3 (X_b)3 + (X_0)2 (X_b)3 (X_c)1 + (X_0)3 (X_a)1 (X_b)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_b)3 (X_c)1 + (X_0)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_a)3 + (X_0)2 (X_a)3 (X_c)1 + (X_0)3 (X_a)2 (X_b)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)3 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 a 0 a 0
0 0 a 0 a a
0 0 a 0 a b
0 0 a 0 a c
0 0 a 0 b 0
0 0 a 0 b a
0 0 a 0 b b
0 0 a 0 b c
0 0 a 0 c 0
0 0 a 0 c a
0 0 a 0 c b
0 0 a 0 c c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 b 0 a 0
0 0 b 0 a a
0 0 b 0 a b
0 0 b 0 a c
0 0 b 0 b 0
0 0 b 0 b a
0 0 b 0 b b
0 0 b 0 b c
0 0 b 0 c 0
0 0 b 0 c a
0 0 b 0 c b
0 0 b 0 c c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c
0 0 c 0 a 0
0 0 c 0 a a
0 0 c 0 a b
0 0 c 0 a c
0 0 c 0 b 0
0 0 c 0 b a
0 0 c 0 b b
0 0 c 0 b c
0 0 c 0 c 0
0 0 c 0 c a
0 0 c 0 c b
0 0 c 0 c c
Is it a nice code?: Yes
Generator Matrix-330
a a 0 a 0 0
b b 0 b 0 0
0 c 0 0 0 c
0 0 c 0 0 0
0 0 0 c 0 0
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 0
0 0 0 c c c
0 0 c 0 0 0
0 0 c 0 c c
0 0 c c 0 0
0 0 c c c c
0 c 0 0 0 c
0 c 0 0 c 0
0 c 0 c 0 c
0 c 0 c c 0
0 c c 0 0 c
0 c c 0 c 0
0 c c c 0 c
0 c c c c 0
b b 0 b 0 0
b b 0 b c c
b b 0 a 0 0
b b 0 a c c
b b c b 0 0
b b c b c c
b b c a 0 0
b b c a c c
b a 0 b 0 c
b a 0 b c 0
b a 0 a 0 c
b a 0 a c 0
b a c b 0 c
b a c b c 0
b a c a 0 c
b a c a c 0
a a 0 a 0 0
a a 0 a c c
a a 0 b 0 0
a a 0 b c c
a a c a 0 0
a a c a c c
a a c b 0 0
a a c b c c
a b 0 a 0 c
a b 0 a c 0
a b 0 b 0 c
a b 0 b c 0
a b c a 0 c
a b c a c 0
a b c b 0 c
a b c b c 0
c c 0 c 0 0
c c 0 c c c
c c 0 0 0 0
c c 0 0 c c
c c c c 0 0
c c c c c c
c c c 0 0 0
c c c 0 c c
c 0 0 c 0 c
c 0 0 c c 0
c 0 0 0 0 c
c 0 0 0 c 0
c 0 c c 0 c
c 0 c c c 0
c 0 c 0 0 c
c 0 c 0 c 0
dmin: 1
Weight Enumerator: 1x0 + 2x1 + 7x2 + 16x3 + 19x4 + 14x5 + 5x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)3 (X_b)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)1 (X_b)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_b)3 (X_c)1 + (X_b)3 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)3 (X_a)2 (X_b)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)3 (X_c)1 + (X_a)3 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_c)6 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 a 0 a 0
0 0 a 0 a a
0 0 a 0 a b
0 0 a 0 a c
0 0 a 0 b 0
0 0 a 0 b a
0 0 a 0 b b
0 0 a 0 b c
0 0 a 0 c 0
0 0 a 0 c a
0 0 a 0 c b
0 0 a 0 c c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 b 0 a 0
0 0 b 0 a a
0 0 b 0 a b
0 0 b 0 a c
0 0 b 0 b 0
0 0 b 0 b a
0 0 b 0 b b
0 0 b 0 b c
0 0 b 0 c 0
0 0 b 0 c a
0 0 b 0 c b
0 0 b 0 c c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c
0 0 c 0 a 0
0 0 c 0 a a
0 0 c 0 a b
0 0 c 0 a c
0 0 c 0 b 0
0 0 c 0 b a
0 0 c 0 b b
0 0 c 0 b c
0 0 c 0 c 0
0 0 c 0 c a
0 0 c 0 c b
0 0 c 0 c c
Is it a nice code?: Yes
Generator Matrix-331
a a 0 a 0 0
b b 0 b 0 0
0 c 0 0 0 c
0 0 c 0 0 0
0 0 0 c 0 c
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 c
0 0 0 c c c
0 0 c 0 0 0
0 0 c 0 c 0
0 0 c c 0 c
0 0 c c c c
0 c 0 0 0 c
0 c 0 0 c c
0 c 0 c 0 0
0 c 0 c c 0
0 c c 0 0 c
0 c c 0 c c
0 c c c 0 0
0 c c c c 0
b b 0 b 0 0
b b 0 b c 0
b b 0 a 0 c
b b 0 a c c
b b c b 0 0
b b c b c 0
b b c a 0 c
b b c a c c
b a 0 b 0 c
b a 0 b c c
b a 0 a 0 0
b a 0 a c 0
b a c b 0 c
b a c b c c
b a c a 0 0
b a c a c 0
a a 0 a 0 0
a a 0 a c 0
a a 0 b 0 c
a a 0 b c c
a a c a 0 0
a a c a c 0
a a c b 0 c
a a c b c c
a b 0 a 0 c
a b 0 a c c
a b 0 b 0 0
a b 0 b c 0
a b c a 0 c
a b c a c c
a b c b 0 0
a b c b c 0
c c 0 c 0 0
c c 0 c c 0
c c 0 0 0 c
c c 0 0 c c
c c c c 0 0
c c c c c 0
c c c 0 0 c
c c c 0 c c
c 0 0 c 0 c
c 0 0 c c c
c 0 0 0 0 0
c 0 0 0 c 0
c 0 c c 0 c
c 0 c c c c
c 0 c 0 0 0
c 0 c 0 c 0
dmin: 1
Weight Enumerator: 1x0 + 3x1 + 6x2 + 14x3 + 21x4 + 15x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_b)3 + (X_0)2 (X_b)3 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_b)3 (X_c)1 + (X_0)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)2 (X_b)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)3 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)3 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)1 (X_b)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 a 0 a 0
0 0 a 0 a a
0 0 a 0 a b
0 0 a 0 a c
0 0 a 0 b 0
0 0 a 0 b a
0 0 a 0 b b
0 0 a 0 b c
0 0 a 0 c 0
0 0 a 0 c a
0 0 a 0 c b
0 0 a 0 c c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 b 0 a 0
0 0 b 0 a a
0 0 b 0 a b
0 0 b 0 a c
0 0 b 0 b 0
0 0 b 0 b a
0 0 b 0 b b
0 0 b 0 b c
0 0 b 0 c 0
0 0 b 0 c a
0 0 b 0 c b
0 0 b 0 c c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c
0 0 c 0 a 0
0 0 c 0 a a
0 0 c 0 a b
0 0 c 0 a c
0 0 c 0 b 0
0 0 c 0 b a
0 0 c 0 b b
0 0 c 0 b c
0 0 c 0 c 0
0 0 c 0 c a
0 0 c 0 c b
0 0 c 0 c c
Is it a nice code?: Yes
Generator Matrix-332
a a 0 a 0 0
b b 0 b 0 0
0 c 0 0 0 c
0 0 c 0 0 0
0 0 0 c 0 c
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 c
0 0 0 c c 0
0 0 c 0 0 0
0 0 c 0 c c
0 0 c c 0 c
0 0 c c c 0
0 c 0 0 0 c
0 c 0 0 c 0
0 c 0 c 0 0
0 c 0 c c c
0 c c 0 0 c
0 c c 0 c 0
0 c c c 0 0
0 c c c c c
b b 0 b 0 0
b b 0 b c c
b b 0 a 0 c
b b 0 a c 0
b b c b 0 0
b b c b c c
b b c a 0 c
b b c a c 0
b a 0 b 0 c
b a 0 b c 0
b a 0 a 0 0
b a 0 a c c
b a c b 0 c
b a c b c 0
b a c a 0 0
b a c a c c
a a 0 a 0 0
a a 0 a c c
a a 0 b 0 c
a a 0 b c 0
a a c a 0 0
a a c a c c
a a c b 0 c
a a c b c 0
a b 0 a 0 c
a b 0 a c 0
a b 0 b 0 0
a b 0 b c c
a b c a 0 c
a b c a c 0
a b c b 0 0
a b c b c c
c c 0 c 0 0
c c 0 c c c
c c 0 0 0 c
c c 0 0 c 0
c c c c 0 0
c c c c c c
c c c 0 0 c
c c c 0 c 0
c 0 0 c 0 c
c 0 0 c c 0
c 0 0 0 0 0
c 0 0 0 c c
c 0 c c 0 c
c 0 c c c 0
c 0 c 0 0 0
c 0 c 0 c c
dmin: 1
Weight Enumerator: 1x0 + 2x1 + 7x2 + 16x3 + 19x4 + 14x5 + 5x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)3 (X_b)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_b)3 (X_c)1 + (X_b)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_a)2 (X_b)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_a)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)3 (X_c)1 + (X_a)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_a)1 (X_b)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_c)6 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 a 0 a 0
0 0 a 0 a a
0 0 a 0 a b
0 0 a 0 a c
0 0 a 0 b 0
0 0 a 0 b a
0 0 a 0 b b
0 0 a 0 b c
0 0 a 0 c 0
0 0 a 0 c a
0 0 a 0 c b
0 0 a 0 c c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 b 0 a 0
0 0 b 0 a a
0 0 b 0 a b
0 0 b 0 a c
0 0 b 0 b 0
0 0 b 0 b a
0 0 b 0 b b
0 0 b 0 b c
0 0 b 0 c 0
0 0 b 0 c a
0 0 b 0 c b
0 0 b 0 c c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c
0 0 c 0 a 0
0 0 c 0 a a
0 0 c 0 a b
0 0 c 0 a c
0 0 c 0 b 0
0 0 c 0 b a
0 0 c 0 b b
0 0 c 0 b c
0 0 c 0 c 0
0 0 c 0 c a
0 0 c 0 c b
0 0 c 0 c c
Is it a nice code?: Yes
Generator Matrix-333
a a 0 a 0 0
b b 0 b 0 0
0 c 0 0 0 c
0 0 c 0 0 c
0 0 0 c 0 0
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 0
0 0 0 c c 0
0 0 c 0 0 c
0 0 c 0 c c
0 0 c c 0 c
0 0 c c c c
0 c 0 0 0 c
0 c 0 0 c c
0 c 0 c 0 c
0 c 0 c c c
0 c c 0 0 0
0 c c 0 c 0
0 c c c 0 0
0 c c c c 0
b b 0 b 0 0
b b 0 b c 0
b b 0 a 0 0
b b 0 a c 0
b b c b 0 c
b b c b c c
b b c a 0 c
b b c a c c
b a 0 b 0 c
b a 0 b c c
b a 0 a 0 c
b a 0 a c c
b a c b 0 0
b a c b c 0
b a c a 0 0
b a c a c 0
a a 0 a 0 0
a a 0 a c 0
a a 0 b 0 0
a a 0 b c 0
a a c a 0 c
a a c a c c
a a c b 0 c
a a c b c c
a b 0 a 0 c
a b 0 a c c
a b 0 b 0 c
a b 0 b c c
a b c a 0 0
a b c a c 0
a b c b 0 0
a b c b c 0
c c 0 c 0 0
c c 0 c c 0
c c 0 0 0 0
c c 0 0 c 0
c c c c 0 c
c c c c c c
c c c 0 0 c
c c c 0 c c
c 0 0 c 0 c
c 0 0 c c c
c 0 0 0 0 c
c 0 0 0 c c
c 0 c c 0 0
c 0 c c c 0
c 0 c 0 0 0
c 0 c 0 c 0
dmin: 1
Weight Enumerator: 1x0 + 2x1 + 7x2 + 16x3 + 19x4 + 14x5 + 5x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_b)3 + (X_0)2 (X_b)3 (X_c)1 + (X_0)3 (X_a)1 (X_b)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_b)3 (X_c)2 + (X_b)3 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)3 (X_c)1 + (X_0)3 (X_a)2 (X_b)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_a)3 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_c)6 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 a 0 a 0
0 0 a 0 a a
0 0 a 0 a b
0 0 a 0 a c
0 0 a 0 b 0
0 0 a 0 b a
0 0 a 0 b b
0 0 a 0 b c
0 0 a 0 c 0
0 0 a 0 c a
0 0 a 0 c b
0 0 a 0 c c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 b 0 a 0
0 0 b 0 a a
0 0 b 0 a b
0 0 b 0 a c
0 0 b 0 b 0
0 0 b 0 b a
0 0 b 0 b b
0 0 b 0 b c
0 0 b 0 c 0
0 0 b 0 c a
0 0 b 0 c b
0 0 b 0 c c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c
0 0 c 0 a 0
0 0 c 0 a a
0 0 c 0 a b
0 0 c 0 a c
0 0 c 0 b 0
0 0 c 0 b a
0 0 c 0 b b
0 0 c 0 b c
0 0 c 0 c 0
0 0 c 0 c a
0 0 c 0 c b
0 0 c 0 c c
Is it a nice code?: Yes
Generator Matrix-334
a a 0 a 0 0
b b 0 b 0 0
0 c 0 0 0 c
0 0 c 0 0 c
0 0 0 c 0 0
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 0
0 0 0 c c c
0 0 c 0 0 c
0 0 c 0 c 0
0 0 c c 0 c
0 0 c c c 0
0 c 0 0 0 c
0 c 0 0 c 0
0 c 0 c 0 c
0 c 0 c c 0
0 c c 0 0 0
0 c c 0 c c
0 c c c 0 0
0 c c c c c
b b 0 b 0 0
b b 0 b c c
b b 0 a 0 0
b b 0 a c c
b b c b 0 c
b b c b c 0
b b c a 0 c
b b c a c 0
b a 0 b 0 c
b a 0 b c 0
b a 0 a 0 c
b a 0 a c 0
b a c b 0 0
b a c b c c
b a c a 0 0
b a c a c c
a a 0 a 0 0
a a 0 a c c
a a 0 b 0 0
a a 0 b c c
a a c a 0 c
a a c a c 0
a a c b 0 c
a a c b c 0
a b 0 a 0 c
a b 0 a c 0
a b 0 b 0 c
a b 0 b c 0
a b c a 0 0
a b c a c c
a b c b 0 0
a b c b c c
c c 0 c 0 0
c c 0 c c c
c c 0 0 0 0
c c 0 0 c c
c c c c 0 c
c c c c c 0
c c c 0 0 c
c c c 0 c 0
c 0 0 c 0 c
c 0 0 c c 0
c 0 0 0 0 c
c 0 0 0 c 0
c 0 c c 0 0
c 0 c c c c
c 0 c 0 0 0
c 0 c 0 c c
dmin: 1
Weight Enumerator: 1x0 + 1x1 + 10x2 + 14x3 + 17x4 + 17x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)3 (X_b)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)1 (X_b)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_b)3 (X_c)2 + (X_0)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_a)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)3 (X_a)2 (X_b)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 a 0 a 0
0 0 a 0 a a
0 0 a 0 a b
0 0 a 0 a c
0 0 a 0 b 0
0 0 a 0 b a
0 0 a 0 b b
0 0 a 0 b c
0 0 a 0 c 0
0 0 a 0 c a
0 0 a 0 c b
0 0 a 0 c c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 b 0 a 0
0 0 b 0 a a
0 0 b 0 a b
0 0 b 0 a c
0 0 b 0 b 0
0 0 b 0 b a
0 0 b 0 b b
0 0 b 0 b c
0 0 b 0 c 0
0 0 b 0 c a
0 0 b 0 c b
0 0 b 0 c c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c
0 0 c 0 a 0
0 0 c 0 a a
0 0 c 0 a b
0 0 c 0 a c
0 0 c 0 b 0
0 0 c 0 b a
0 0 c 0 b b
0 0 c 0 b c
0 0 c 0 c 0
0 0 c 0 c a
0 0 c 0 c b
0 0 c 0 c c
Is it a nice code?: Yes
Generator Matrix-335
a a 0 a 0 0
b b 0 b 0 0
0 c 0 0 0 c
0 0 c 0 0 c
0 0 0 c 0 c
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 c
0 0 0 c c c
0 0 c 0 0 c
0 0 c 0 c c
0 0 c c 0 0
0 0 c c c 0
0 c 0 0 0 c
0 c 0 0 c c
0 c 0 c 0 0
0 c 0 c c 0
0 c c 0 0 0
0 c c 0 c 0
0 c c c 0 c
0 c c c c c
b b 0 b 0 0
b b 0 b c 0
b b 0 a 0 c
b b 0 a c c
b b c b 0 c
b b c b c c
b b c a 0 0
b b c a c 0
b a 0 b 0 c
b a 0 b c c
b a 0 a 0 0
b a 0 a c 0
b a c b 0 0
b a c b c 0
b a c a 0 c
b a c a c c
a a 0 a 0 0
a a 0 a c 0
a a 0 b 0 c
a a 0 b c c
a a c a 0 c
a a c a c c
a a c b 0 0
a a c b c 0
a b 0 a 0 c
a b 0 a c c
a b 0 b 0 0
a b 0 b c 0
a b c a 0 0
a b c a c 0
a b c b 0 c
a b c b c c
c c 0 c 0 0
c c 0 c c 0
c c 0 0 0 c
c c 0 0 c c
c c c c 0 c
c c c c c c
c c c 0 0 0
c c c 0 c 0
c 0 0 c 0 c
c 0 0 c c c
c 0 0 0 0 0
c 0 0 0 c 0
c 0 c c 0 0
c 0 c c c 0
c 0 c 0 0 c
c 0 c 0 c c
dmin: 1
Weight Enumerator: 1x0 + 2x1 + 7x2 + 16x3 + 19x4 + 14x5 + 5x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)3 (X_b)3 + (X_0)2 (X_b)3 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_b)3 (X_c)2 + (X_b)3 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)2 (X_b)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_a)3 + (X_0)2 (X_a)3 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_c)2 + (X_a)3 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)1 (X_b)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_c)6 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 a 0 a 0
0 0 a 0 a a
0 0 a 0 a b
0 0 a 0 a c
0 0 a 0 b 0
0 0 a 0 b a
0 0 a 0 b b
0 0 a 0 b c
0 0 a 0 c 0
0 0 a 0 c a
0 0 a 0 c b
0 0 a 0 c c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 b 0 a 0
0 0 b 0 a a
0 0 b 0 a b
0 0 b 0 a c
0 0 b 0 b 0
0 0 b 0 b a
0 0 b 0 b b
0 0 b 0 b c
0 0 b 0 c 0
0 0 b 0 c a
0 0 b 0 c b
0 0 b 0 c c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c
0 0 c 0 a 0
0 0 c 0 a a
0 0 c 0 a b
0 0 c 0 a c
0 0 c 0 b 0
0 0 c 0 b a
0 0 c 0 b b
0 0 c 0 b c
0 0 c 0 c 0
0 0 c 0 c a
0 0 c 0 c b
0 0 c 0 c c
Is it a nice code?: Yes
Generator Matrix-336
a a 0 a 0 0
b b 0 b 0 0
0 c 0 0 0 c
0 0 c 0 0 c
0 0 0 c 0 c
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 c
0 0 0 c c 0
0 0 c 0 0 c
0 0 c 0 c 0
0 0 c c 0 0
0 0 c c c c
0 c 0 0 0 c
0 c 0 0 c 0
0 c 0 c 0 0
0 c 0 c c c
0 c c 0 0 0
0 c c 0 c c
0 c c c 0 c
0 c c c c 0
b b 0 b 0 0
b b 0 b c c
b b 0 a 0 c
b b 0 a c 0
b b c b 0 c
b b c b c 0
b b c a 0 0
b b c a c c
b a 0 b 0 c
b a 0 b c 0
b a 0 a 0 0
b a 0 a c c
b a c b 0 0
b a c b c c
b a c a 0 c
b a c a c 0
a a 0 a 0 0
a a 0 a c c
a a 0 b 0 c
a a 0 b c 0
a a c a 0 c
a a c a c 0
a a c b 0 0
a a c b c c
a b 0 a 0 c
a b 0 a c 0
a b 0 b 0 0
a b 0 b c c
a b c a 0 0
a b c a c c
a b c b 0 c
a b c b c 0
c c 0 c 0 0
c c 0 c c c
c c 0 0 0 c
c c 0 0 c 0
c c c c 0 c
c c c c c 0
c c c 0 0 0
c c c 0 c c
c 0 0 c 0 c
c 0 0 c c 0
c 0 0 0 0 0
c 0 0 0 c c
c 0 c c 0 0
c 0 c c c c
c 0 c 0 0 c
c 0 c 0 c 0
dmin: 1
Weight Enumerator: 1x0 + 1x1 + 10x2 + 14x3 + 17x4 + 17x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)3 (X_b)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_b)3 (X_c)2 + (X_0)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)3 (X_a)2 (X_b)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)3 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)3 (X_a)1 (X_b)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 a 0 a 0
0 0 a 0 a a
0 0 a 0 a b
0 0 a 0 a c
0 0 a 0 b 0
0 0 a 0 b a
0 0 a 0 b b
0 0 a 0 b c
0 0 a 0 c 0
0 0 a 0 c a
0 0 a 0 c b
0 0 a 0 c c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 b 0 a 0
0 0 b 0 a a
0 0 b 0 a b
0 0 b 0 a c
0 0 b 0 b 0
0 0 b 0 b a
0 0 b 0 b b
0 0 b 0 b c
0 0 b 0 c 0
0 0 b 0 c a
0 0 b 0 c b
0 0 b 0 c c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c
0 0 c 0 a 0
0 0 c 0 a a
0 0 c 0 a b
0 0 c 0 a c
0 0 c 0 b 0
0 0 c 0 b a
0 0 c 0 b b
0 0 c 0 b c
0 0 c 0 c 0
0 0 c 0 c a
0 0 c 0 c b
0 0 c 0 c c
Is it a nice code?: Yes
Generator Matrix-337
a a 0 a 0 a
b b 0 b 0 b
0 c 0 0 0 0
0 0 c 0 0 0
0 0 0 c 0 0
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 0
0 0 0 c c 0
0 0 c 0 0 0
0 0 c 0 c 0
0 0 c c 0 0
0 0 c c c 0
0 c 0 0 0 0
0 c 0 0 c 0
0 c 0 c 0 0
0 c 0 c c 0
0 c c 0 0 0
0 c c 0 c 0
0 c c c 0 0
0 c c c c 0
b b 0 b 0 b
b b 0 b c b
b b 0 a 0 b
b b 0 a c b
b b c b 0 b
b b c b c b
b b c a 0 b
b b c a c b
b a 0 b 0 b
b a 0 b c b
b a 0 a 0 b
b a 0 a c b
b a c b 0 b
b a c b c b
b a c a 0 b
b a c a c b
a a 0 a 0 a
a a 0 a c a
a a 0 b 0 a
a a 0 b c a
a a c a 0 a
a a c a c a
a a c b 0 a
a a c b c a
a b 0 a 0 a
a b 0 a c a
a b 0 b 0 a
a b 0 b c a
a b c a 0 a
a b c a c a
a b c b 0 a
a b c b c a
c c 0 c 0 c
c c 0 c c c
c c 0 0 0 c
c c 0 0 c c
c c c c 0 c
c c c c c c
c c c 0 0 c
c c c 0 c c
c 0 0 c 0 c
c 0 0 c c c
c 0 0 0 0 c
c 0 0 0 c c
c 0 c c 0 c
c 0 c c c c
c 0 c 0 0 c
c 0 c 0 c c
dmin: 1
Weight Enumerator: 1x0 + 4x1 + 7x2 + 8x3 + 15x4 + 20x5 + 9x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_b)4 + (X_0)1 (X_b)4 (X_c)1 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_b)4 (X_c)1 + (X_b)4 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)4 (X_c)1 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)4 (X_c)1 + (X_a)4 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_c)6 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 a 0 0 0
0 0 a 0 a 0
0 0 a 0 b 0
0 0 a 0 c 0
0 0 b 0 0 0
0 0 b 0 a 0
0 0 b 0 b 0
0 0 b 0 c 0
0 0 c 0 0 0
0 0 c 0 a 0
0 0 c 0 b 0
0 0 c 0 c 0
Is it a nice code?: No
Generator Matrix-338
a a 0 a 0 a
b b 0 b 0 b
0 c 0 0 0 0
0 0 c 0 0 0
0 0 0 c 0 0
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 0
0 0 0 c c c
0 0 c 0 0 0
0 0 c 0 c c
0 0 c c 0 0
0 0 c c c c
0 c 0 0 0 0
0 c 0 0 c c
0 c 0 c 0 0
0 c 0 c c c
0 c c 0 0 0
0 c c 0 c c
0 c c c 0 0
0 c c c c c
b b 0 b 0 b
b b 0 b c a
b b 0 a 0 b
b b 0 a c a
b b c b 0 b
b b c b c a
b b c a 0 b
b b c a c a
b a 0 b 0 b
b a 0 b c a
b a 0 a 0 b
b a 0 a c a
b a c b 0 b
b a c b c a
b a c a 0 b
b a c a c a
a a 0 a 0 a
a a 0 a c b
a a 0 b 0 a
a a 0 b c b
a a c a 0 a
a a c a c b
a a c b 0 a
a a c b c b
a b 0 a 0 a
a b 0 a c b
a b 0 b 0 a
a b 0 b c b
a b c a 0 a
a b c a c b
a b c b 0 a
a b c b c b
c c 0 c 0 c
c c 0 c c 0
c c 0 0 0 c
c c 0 0 c 0
c c c c 0 c
c c c c c 0
c c c 0 0 c
c c c 0 c 0
c 0 0 c 0 c
c 0 0 c c 0
c 0 0 0 0 c
c 0 0 0 c 0
c 0 c c 0 c
c 0 c c c 0
c 0 c 0 0 c
c 0 c 0 c 0
dmin: 1
Weight Enumerator: 1x0 + 3x1 + 6x2 + 10x3 + 17x4 + 19x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_b)4 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)4 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 a 0 0 0
0 0 a 0 a 0
0 0 a 0 b 0
0 0 a 0 c 0
0 0 b 0 0 0
0 0 b 0 a 0
0 0 b 0 b 0
0 0 b 0 c 0
0 0 c 0 0 0
0 0 c 0 a 0
0 0 c 0 b 0
0 0 c 0 c 0
Is it a nice code?: No
Generator Matrix-339
a a 0 a 0 a
b b 0 b 0 b
0 c 0 0 0 0
0 0 c 0 0 0
0 0 0 c 0 c
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 c
0 0 0 c c c
0 0 c 0 0 0
0 0 c 0 c 0
0 0 c c 0 c
0 0 c c c c
0 c 0 0 0 0
0 c 0 0 c 0
0 c 0 c 0 c
0 c 0 c c c
0 c c 0 0 0
0 c c 0 c 0
0 c c c 0 c
0 c c c c c
b b 0 b 0 b
b b 0 b c b
b b 0 a 0 a
b b 0 a c a
b b c b 0 b
b b c b c b
b b c a 0 a
b b c a c a
b a 0 b 0 b
b a 0 b c b
b a 0 a 0 a
b a 0 a c a
b a c b 0 b
b a c b c b
b a c a 0 a
b a c a c a
a a 0 a 0 a
a a 0 a c a
a a 0 b 0 b
a a 0 b c b
a a c a 0 a
a a c a c a
a a c b 0 b
a a c b c b
a b 0 a 0 a
a b 0 a c a
a b 0 b 0 b
a b 0 b c b
a b c a 0 a
a b c a c a
a b c b 0 b
a b c b c b
c c 0 c 0 c
c c 0 c c c
c c 0 0 0 0
c c 0 0 c 0
c c c c 0 c
c c c c c c
c c c 0 0 0
c c c 0 c 0
c 0 0 c 0 c
c 0 0 c c c
c 0 0 0 0 0
c 0 0 0 c 0
c 0 c c 0 c
c 0 c c c c
c 0 c 0 0 0
c 0 c 0 c 0
dmin: 1
Weight Enumerator: 1x0 + 4x1 + 7x2 + 8x3 + 15x4 + 20x5 + 9x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)2 (X_b)4 + (X_0)1 (X_b)4 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_b)4 (X_c)1 + (X_b)4 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)4 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)4 (X_c)1 + (X_a)4 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_c)6 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 a 0 0 0
0 0 a 0 a 0
0 0 a 0 b 0
0 0 a 0 c 0
0 0 b 0 0 0
0 0 b 0 a 0
0 0 b 0 b 0
0 0 b 0 c 0
0 0 c 0 0 0
0 0 c 0 a 0
0 0 c 0 b 0
0 0 c 0 c 0
Is it a nice code?: No
Generator Matrix-340
a a 0 a 0 a
b b 0 b 0 b
0 c 0 0 0 0
0 0 c 0 0 0
0 0 0 c 0 c
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 c
0 0 0 c c 0
0 0 c 0 0 0
0 0 c 0 c c
0 0 c c 0 c
0 0 c c c 0
0 c 0 0 0 0
0 c 0 0 c c
0 c 0 c 0 c
0 c 0 c c 0
0 c c 0 0 0
0 c c 0 c c
0 c c c 0 c
0 c c c c 0
b b 0 b 0 b
b b 0 b c a
b b 0 a 0 a
b b 0 a c b
b b c b 0 b
b b c b c a
b b c a 0 a
b b c a c b
b a 0 b 0 b
b a 0 b c a
b a 0 a 0 a
b a 0 a c b
b a c b 0 b
b a c b c a
b a c a 0 a
b a c a c b
a a 0 a 0 a
a a 0 a c b
a a 0 b 0 b
a a 0 b c a
a a c a 0 a
a a c a c b
a a c b 0 b
a a c b c a
a b 0 a 0 a
a b 0 a c b
a b 0 b 0 b
a b 0 b c a
a b c a 0 a
a b c a c b
a b c b 0 b
a b c b c a
c c 0 c 0 c
c c 0 c c 0
c c 0 0 0 0
c c 0 0 c c
c c c c 0 c
c c c c c 0
c c c 0 0 0
c c c 0 c c
c 0 0 c 0 c
c 0 0 c c 0
c 0 0 0 0 0
c 0 0 0 c c
c 0 c c 0 c
c 0 c c c 0
c 0 c 0 0 0
c 0 c 0 c c
dmin: 1
Weight Enumerator: 1x0 + 3x1 + 6x2 + 10x3 + 17x4 + 19x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_b)4 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)4 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 a 0 0 0
0 0 a 0 a 0
0 0 a 0 b 0
0 0 a 0 c 0
0 0 b 0 0 0
0 0 b 0 a 0
0 0 b 0 b 0
0 0 b 0 c 0
0 0 c 0 0 0
0 0 c 0 a 0
0 0 c 0 b 0
0 0 c 0 c 0
Is it a nice code?: No
Generator Matrix-341
a a 0 a 0 a
b b 0 b 0 b
0 c 0 0 0 0
0 0 c 0 0 c
0 0 0 c 0 0
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 0
0 0 0 c c 0
0 0 c 0 0 c
0 0 c 0 c c
0 0 c c 0 c
0 0 c c c c
0 c 0 0 0 0
0 c 0 0 c 0
0 c 0 c 0 0
0 c 0 c c 0
0 c c 0 0 c
0 c c 0 c c
0 c c c 0 c
0 c c c c c
b b 0 b 0 b
b b 0 b c b
b b 0 a 0 b
b b 0 a c b
b b c b 0 a
b b c b c a
b b c a 0 a
b b c a c a
b a 0 b 0 b
b a 0 b c b
b a 0 a 0 b
b a 0 a c b
b a c b 0 a
b a c b c a
b a c a 0 a
b a c a c a
a a 0 a 0 a
a a 0 a c a
a a 0 b 0 a
a a 0 b c a
a a c a 0 b
a a c a c b
a a c b 0 b
a a c b c b
a b 0 a 0 a
a b 0 a c a
a b 0 b 0 a
a b 0 b c a
a b c a 0 b
a b c a c b
a b c b 0 b
a b c b c b
c c 0 c 0 c
c c 0 c c c
c c 0 0 0 c
c c 0 0 c c
c c c c 0 0
c c c c c 0
c c c 0 0 0
c c c 0 c 0
c 0 0 c 0 c
c 0 0 c c c
c 0 0 0 0 c
c 0 0 0 c c
c 0 c c 0 0
c 0 c c c 0
c 0 c 0 0 0
c 0 c 0 c 0
dmin: 1
Weight Enumerator: 1x0 + 3x1 + 6x2 + 10x3 + 17x4 + 19x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)2 (X_b)4 + (X_0)1 (X_b)4 (X_c)1 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)4 (X_c)1 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 a 0 0 0
0 0 a 0 a 0
0 0 a 0 b 0
0 0 a 0 c 0
0 0 b 0 0 0
0 0 b 0 a 0
0 0 b 0 b 0
0 0 b 0 c 0
0 0 c 0 0 0
0 0 c 0 a 0
0 0 c 0 b 0
0 0 c 0 c 0
Is it a nice code?: No
Generator Matrix-342
a a 0 a 0 a
b b 0 b 0 b
0 c 0 0 0 0
0 0 c 0 0 c
0 0 0 c 0 0
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 0
0 0 0 c c c
0 0 c 0 0 c
0 0 c 0 c 0
0 0 c c 0 c
0 0 c c c 0
0 c 0 0 0 0
0 c 0 0 c c
0 c 0 c 0 0
0 c 0 c c c
0 c c 0 0 c
0 c c 0 c 0
0 c c c 0 c
0 c c c c 0
b b 0 b 0 b
b b 0 b c a
b b 0 a 0 b
b b 0 a c a
b b c b 0 a
b b c b c b
b b c a 0 a
b b c a c b
b a 0 b 0 b
b a 0 b c a
b a 0 a 0 b
b a 0 a c a
b a c b 0 a
b a c b c b
b a c a 0 a
b a c a c b
a a 0 a 0 a
a a 0 a c b
a a 0 b 0 a
a a 0 b c b
a a c a 0 b
a a c a c a
a a c b 0 b
a a c b c a
a b 0 a 0 a
a b 0 a c b
a b 0 b 0 a
a b 0 b c b
a b c a 0 b
a b c a c a
a b c b 0 b
a b c b c a
c c 0 c 0 c
c c 0 c c 0
c c 0 0 0 c
c c 0 0 c 0
c c c c 0 0
c c c c c c
c c c 0 0 0
c c c 0 c c
c 0 0 c 0 c
c 0 0 c c 0
c 0 0 0 0 c
c 0 0 0 c 0
c 0 c c 0 0
c 0 c c c c
c 0 c 0 0 0
c 0 c 0 c c
dmin: 1
Weight Enumerator: 1x0 + 2x1 + 7x2 + 12x3 + 15x4 + 18x5 + 9x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_b)4 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)4 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_c)6 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 a 0 0 0
0 0 a 0 a 0
0 0 a 0 b 0
0 0 a 0 c 0
0 0 b 0 0 0
0 0 b 0 a 0
0 0 b 0 b 0
0 0 b 0 c 0
0 0 c 0 0 0
0 0 c 0 a 0
0 0 c 0 b 0
0 0 c 0 c 0
Is it a nice code?: No
Generator Matrix-343
a a 0 a 0 a
b b 0 b 0 b
0 c 0 0 0 0
0 0 c 0 0 c
0 0 0 c 0 c
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 c
0 0 0 c c c
0 0 c 0 0 c
0 0 c 0 c c
0 0 c c 0 0
0 0 c c c 0
0 c 0 0 0 0
0 c 0 0 c 0
0 c 0 c 0 c
0 c 0 c c c
0 c c 0 0 c
0 c c 0 c c
0 c c c 0 0
0 c c c c 0
b b 0 b 0 b
b b 0 b c b
b b 0 a 0 a
b b 0 a c a
b b c b 0 a
b b c b c a
b b c a 0 b
b b c a c b
b a 0 b 0 b
b a 0 b c b
b a 0 a 0 a
b a 0 a c a
b a c b 0 a
b a c b c a
b a c a 0 b
b a c a c b
a a 0 a 0 a
a a 0 a c a
a a 0 b 0 b
a a 0 b c b
a a c a 0 b
a a c a c b
a a c b 0 a
a a c b c a
a b 0 a 0 a
a b 0 a c a
a b 0 b 0 b
a b 0 b c b
a b c a 0 b
a b c a c b
a b c b 0 a
a b c b c a
c c 0 c 0 c
c c 0 c c c
c c 0 0 0 0
c c 0 0 c 0
c c c c 0 0
c c c c c 0
c c c 0 0 c
c c c 0 c c
c 0 0 c 0 c
c 0 0 c c c
c 0 0 0 0 0
c 0 0 0 c 0
c 0 c c 0 0
c 0 c c c 0
c 0 c 0 0 c
c 0 c 0 c c
dmin: 1
Weight Enumerator: 1x0 + 3x1 + 6x2 + 10x3 + 17x4 + 19x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_b)4 + (X_0)1 (X_b)4 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)4 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 a 0 0 0
0 0 a 0 a 0
0 0 a 0 b 0
0 0 a 0 c 0
0 0 b 0 0 0
0 0 b 0 a 0
0 0 b 0 b 0
0 0 b 0 c 0
0 0 c 0 0 0
0 0 c 0 a 0
0 0 c 0 b 0
0 0 c 0 c 0
Is it a nice code?: No
Generator Matrix-344
a a 0 a 0 a
b b 0 b 0 b
0 c 0 0 0 0
0 0 c 0 0 c
0 0 0 c 0 c
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 c
0 0 0 c c 0
0 0 c 0 0 c
0 0 c 0 c 0
0 0 c c 0 0
0 0 c c c c
0 c 0 0 0 0
0 c 0 0 c c
0 c 0 c 0 c
0 c 0 c c 0
0 c c 0 0 c
0 c c 0 c 0
0 c c c 0 0
0 c c c c c
b b 0 b 0 b
b b 0 b c a
b b 0 a 0 a
b b 0 a c b
b b c b 0 a
b b c b c b
b b c a 0 b
b b c a c a
b a 0 b 0 b
b a 0 b c a
b a 0 a 0 a
b a 0 a c b
b a c b 0 a
b a c b c b
b a c a 0 b
b a c a c a
a a 0 a 0 a
a a 0 a c b
a a 0 b 0 b
a a 0 b c a
a a c a 0 b
a a c a c a
a a c b 0 a
a a c b c b
a b 0 a 0 a
a b 0 a c b
a b 0 b 0 b
a b 0 b c a
a b c a 0 b
a b c a c a
a b c b 0 a
a b c b c b
c c 0 c 0 c
c c 0 c c 0
c c 0 0 0 0
c c 0 0 c c
c c c c 0 0
c c c c c c
c c c 0 0 c
c c c 0 c 0
c 0 0 c 0 c
c 0 0 c c 0
c 0 0 0 0 0
c 0 0 0 c c
c 0 c c 0 0
c 0 c c c c
c 0 c 0 0 c
c 0 c 0 c 0
dmin: 1
Weight Enumerator: 1x0 + 2x1 + 7x2 + 12x3 + 15x4 + 18x5 + 9x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_b)4 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)4 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_c)6 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 a 0 0 0
0 0 a 0 a 0
0 0 a 0 b 0
0 0 a 0 c 0
0 0 b 0 0 0
0 0 b 0 a 0
0 0 b 0 b 0
0 0 b 0 c 0
0 0 c 0 0 0
0 0 c 0 a 0
0 0 c 0 b 0
0 0 c 0 c 0
Is it a nice code?: No
Generator Matrix-345
a a 0 a 0 a
b b 0 b 0 b
0 c 0 0 0 c
0 0 c 0 0 0
0 0 0 c 0 0
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 0
0 0 0 c c 0
0 0 c 0 0 0
0 0 c 0 c 0
0 0 c c 0 0
0 0 c c c 0
0 c 0 0 0 c
0 c 0 0 c c
0 c 0 c 0 c
0 c 0 c c c
0 c c 0 0 c
0 c c 0 c c
0 c c c 0 c
0 c c c c c
b b 0 b 0 b
b b 0 b c b
b b 0 a 0 b
b b 0 a c b
b b c b 0 b
b b c b c b
b b c a 0 b
b b c a c b
b a 0 b 0 a
b a 0 b c a
b a 0 a 0 a
b a 0 a c a
b a c b 0 a
b a c b c a
b a c a 0 a
b a c a c a
a a 0 a 0 a
a a 0 a c a
a a 0 b 0 a
a a 0 b c a
a a c a 0 a
a a c a c a
a a c b 0 a
a a c b c a
a b 0 a 0 b
a b 0 a c b
a b 0 b 0 b
a b 0 b c b
a b c a 0 b
a b c a c b
a b c b 0 b
a b c b c b
c c 0 c 0 c
c c 0 c c c
c c 0 0 0 c
c c 0 0 c c
c c c c 0 c
c c c c c c
c c c 0 0 c
c c c 0 c c
c 0 0 c 0 0
c 0 0 c c 0
c 0 0 0 0 0
c 0 0 0 c 0
c 0 c c 0 0
c 0 c c c 0
c 0 c 0 0 0
c 0 c 0 c 0
dmin: 1
Weight Enumerator: 1x0 + 4x1 + 7x2 + 8x3 + 15x4 + 20x5 + 9x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)2 (X_b)4 + (X_0)1 (X_b)4 (X_c)1 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_b)4 (X_c)1 + (X_b)4 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)4 (X_c)1 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)4 (X_c)1 + (X_a)4 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_c)6 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 a 0 0 0
0 0 a 0 a 0
0 0 a 0 b 0
0 0 a 0 c 0
0 0 b 0 0 0
0 0 b 0 a 0
0 0 b 0 b 0
0 0 b 0 c 0
0 0 c 0 0 0
0 0 c 0 a 0
0 0 c 0 b 0
0 0 c 0 c 0
Is it a nice code?: No
Generator Matrix-346
a a 0 a 0 a
b b 0 b 0 b
0 c 0 0 0 c
0 0 c 0 0 0
0 0 0 c 0 0
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 0
0 0 0 c c c
0 0 c 0 0 0
0 0 c 0 c c
0 0 c c 0 0
0 0 c c c c
0 c 0 0 0 c
0 c 0 0 c 0
0 c 0 c 0 c
0 c 0 c c 0
0 c c 0 0 c
0 c c 0 c 0
0 c c c 0 c
0 c c c c 0
b b 0 b 0 b
b b 0 b c a
b b 0 a 0 b
b b 0 a c a
b b c b 0 b
b b c b c a
b b c a 0 b
b b c a c a
b a 0 b 0 a
b a 0 b c b
b a 0 a 0 a
b a 0 a c b
b a c b 0 a
b a c b c b
b a c a 0 a
b a c a c b
a a 0 a 0 a
a a 0 a c b
a a 0 b 0 a
a a 0 b c b
a a c a 0 a
a a c a c b
a a c b 0 a
a a c b c b
a b 0 a 0 b
a b 0 a c a
a b 0 b 0 b
a b 0 b c a
a b c a 0 b
a b c a c a
a b c b 0 b
a b c b c a
c c 0 c 0 c
c c 0 c c 0
c c 0 0 0 c
c c 0 0 c 0
c c c c 0 c
c c c c c 0
c c c 0 0 c
c c c 0 c 0
c 0 0 c 0 0
c 0 0 c c c
c 0 0 0 0 0
c 0 0 0 c c
c 0 c c 0 0
c 0 c c c c
c 0 c 0 0 0
c 0 c 0 c c
dmin: 1
Weight Enumerator: 1x0 + 3x1 + 6x2 + 10x3 + 17x4 + 19x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_b)4 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)4 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 a 0 0 0
0 0 a 0 a 0
0 0 a 0 b 0
0 0 a 0 c 0
0 0 b 0 0 0
0 0 b 0 a 0
0 0 b 0 b 0
0 0 b 0 c 0
0 0 c 0 0 0
0 0 c 0 a 0
0 0 c 0 b 0
0 0 c 0 c 0
Is it a nice code?: No
Generator Matrix-347
a a 0 a 0 a
b b 0 b 0 b
0 c 0 0 0 c
0 0 c 0 0 0
0 0 0 c 0 c
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 c
0 0 0 c c c
0 0 c 0 0 0
0 0 c 0 c 0
0 0 c c 0 c
0 0 c c c c
0 c 0 0 0 c
0 c 0 0 c c
0 c 0 c 0 0
0 c 0 c c 0
0 c c 0 0 c
0 c c 0 c c
0 c c c 0 0
0 c c c c 0
b b 0 b 0 b
b b 0 b c b
b b 0 a 0 a
b b 0 a c a
b b c b 0 b
b b c b c b
b b c a 0 a
b b c a c a
b a 0 b 0 a
b a 0 b c a
b a 0 a 0 b
b a 0 a c b
b a c b 0 a
b a c b c a
b a c a 0 b
b a c a c b
a a 0 a 0 a
a a 0 a c a
a a 0 b 0 b
a a 0 b c b
a a c a 0 a
a a c a c a
a a c b 0 b
a a c b c b
a b 0 a 0 b
a b 0 a c b
a b 0 b 0 a
a b 0 b c a
a b c a 0 b
a b c a c b
a b c b 0 a
a b c b c a
c c 0 c 0 c
c c 0 c c c
c c 0 0 0 0
c c 0 0 c 0
c c c c 0 c
c c c c c c
c c c 0 0 0
c c c 0 c 0
c 0 0 c 0 0
c 0 0 c c 0
c 0 0 0 0 c
c 0 0 0 c c
c 0 c c 0 0
c 0 c c c 0
c 0 c 0 0 c
c 0 c 0 c c
dmin: 1
Weight Enumerator: 1x0 + 2x1 + 7x2 + 12x3 + 15x4 + 18x5 + 9x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_b)4 + (X_0)1 (X_b)4 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_b)4 (X_c)1 + (X_b)4 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)4 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)4 (X_c)1 + (X_a)4 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_c)6 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 a 0 0 0
0 0 a 0 a 0
0 0 a 0 b 0
0 0 a 0 c 0
0 0 b 0 0 0
0 0 b 0 a 0
0 0 b 0 b 0
0 0 b 0 c 0
0 0 c 0 0 0
0 0 c 0 a 0
0 0 c 0 b 0
0 0 c 0 c 0
Is it a nice code?: No
Generator Matrix-348
a a 0 a 0 a
b b 0 b 0 b
0 c 0 0 0 c
0 0 c 0 0 0
0 0 0 c 0 c
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 c
0 0 0 c c 0
0 0 c 0 0 0
0 0 c 0 c c
0 0 c c 0 c
0 0 c c c 0
0 c 0 0 0 c
0 c 0 0 c 0
0 c 0 c 0 0
0 c 0 c c c
0 c c 0 0 c
0 c c 0 c 0
0 c c c 0 0
0 c c c c c
b b 0 b 0 b
b b 0 b c a
b b 0 a 0 a
b b 0 a c b
b b c b 0 b
b b c b c a
b b c a 0 a
b b c a c b
b a 0 b 0 a
b a 0 b c b
b a 0 a 0 b
b a 0 a c a
b a c b 0 a
b a c b c b
b a c a 0 b
b a c a c a
a a 0 a 0 a
a a 0 a c b
a a 0 b 0 b
a a 0 b c a
a a c a 0 a
a a c a c b
a a c b 0 b
a a c b c a
a b 0 a 0 b
a b 0 a c a
a b 0 b 0 a
a b 0 b c b
a b c a 0 b
a b c a c a
a b c b 0 a
a b c b c b
c c 0 c 0 c
c c 0 c c 0
c c 0 0 0 0
c c 0 0 c c
c c c c 0 c
c c c c c 0
c c c 0 0 0
c c c 0 c c
c 0 0 c 0 0
c 0 0 c c c
c 0 0 0 0 c
c 0 0 0 c 0
c 0 c c 0 0
c 0 c c c c
c 0 c 0 0 c
c 0 c 0 c 0
dmin: 1
Weight Enumerator: 1x0 + 1x1 + 10x2 + 10x3 + 13x4 + 21x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_b)4 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)4 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 a 0 0 0
0 0 a 0 a 0
0 0 a 0 b 0
0 0 a 0 c 0
0 0 b 0 0 0
0 0 b 0 a 0
0 0 b 0 b 0
0 0 b 0 c 0
0 0 c 0 0 0
0 0 c 0 a 0
0 0 c 0 b 0
0 0 c 0 c 0
Is it a nice code?: No
Generator Matrix-349
a a 0 a 0 a
b b 0 b 0 b
0 c 0 0 0 c
0 0 c 0 0 c
0 0 0 c 0 0
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 0
0 0 0 c c 0
0 0 c 0 0 c
0 0 c 0 c c
0 0 c c 0 c
0 0 c c c c
0 c 0 0 0 c
0 c 0 0 c c
0 c 0 c 0 c
0 c 0 c c c
0 c c 0 0 0
0 c c 0 c 0
0 c c c 0 0
0 c c c c 0
b b 0 b 0 b
b b 0 b c b
b b 0 a 0 b
b b 0 a c b
b b c b 0 a
b b c b c a
b b c a 0 a
b b c a c a
b a 0 b 0 a
b a 0 b c a
b a 0 a 0 a
b a 0 a c a
b a c b 0 b
b a c b c b
b a c a 0 b
b a c a c b
a a 0 a 0 a
a a 0 a c a
a a 0 b 0 a
a a 0 b c a
a a c a 0 b
a a c a c b
a a c b 0 b
a a c b c b
a b 0 a 0 b
a b 0 a c b
a b 0 b 0 b
a b 0 b c b
a b c a 0 a
a b c a c a
a b c b 0 a
a b c b c a
c c 0 c 0 c
c c 0 c c c
c c 0 0 0 c
c c 0 0 c c
c c c c 0 0
c c c c c 0
c c c 0 0 0
c c c 0 c 0
c 0 0 c 0 0
c 0 0 c c 0
c 0 0 0 0 0
c 0 0 0 c 0
c 0 c c 0 c
c 0 c c c c
c 0 c 0 0 c
c 0 c 0 c c
dmin: 1
Weight Enumerator: 1x0 + 3x1 + 6x2 + 10x3 + 17x4 + 19x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_b)4 + (X_0)1 (X_b)4 (X_c)1 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)4 (X_c)1 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 a 0 0 0
0 0 a 0 a 0
0 0 a 0 b 0
0 0 a 0 c 0
0 0 b 0 0 0
0 0 b 0 a 0
0 0 b 0 b 0
0 0 b 0 c 0
0 0 c 0 0 0
0 0 c 0 a 0
0 0 c 0 b 0
0 0 c 0 c 0
Is it a nice code?: No
Generator Matrix-350
a a 0 a 0 a
b b 0 b 0 b
0 c 0 0 0 c
0 0 c 0 0 c
0 0 0 c 0 0
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 0
0 0 0 c c c
0 0 c 0 0 c
0 0 c 0 c 0
0 0 c c 0 c
0 0 c c c 0
0 c 0 0 0 c
0 c 0 0 c 0
0 c 0 c 0 c
0 c 0 c c 0
0 c c 0 0 0
0 c c 0 c c
0 c c c 0 0
0 c c c c c
b b 0 b 0 b
b b 0 b c a
b b 0 a 0 b
b b 0 a c a
b b c b 0 a
b b c b c b
b b c a 0 a
b b c a c b
b a 0 b 0 a
b a 0 b c b
b a 0 a 0 a
b a 0 a c b
b a c b 0 b
b a c b c a
b a c a 0 b
b a c a c a
a a 0 a 0 a
a a 0 a c b
a a 0 b 0 a
a a 0 b c b
a a c a 0 b
a a c a c a
a a c b 0 b
a a c b c a
a b 0 a 0 b
a b 0 a c a
a b 0 b 0 b
a b 0 b c a
a b c a 0 a
a b c a c b
a b c b 0 a
a b c b c b
c c 0 c 0 c
c c 0 c c 0
c c 0 0 0 c
c c 0 0 c 0
c c c c 0 0
c c c c c c
c c c 0 0 0
c c c 0 c c
c 0 0 c 0 0
c 0 0 c c c
c 0 0 0 0 0
c 0 0 0 c c
c 0 c c 0 c
c 0 c c c 0
c 0 c 0 0 c
c 0 c 0 c 0
dmin: 1
Weight Enumerator: 1x0 + 2x1 + 7x2 + 12x3 + 15x4 + 18x5 + 9x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_b)4 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)4 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_c)6 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 a 0 0 0
0 0 a 0 a 0
0 0 a 0 b 0
0 0 a 0 c 0
0 0 b 0 0 0
0 0 b 0 a 0
0 0 b 0 b 0
0 0 b 0 c 0
0 0 c 0 0 0
0 0 c 0 a 0
0 0 c 0 b 0
0 0 c 0 c 0
Is it a nice code?: No
Generator Matrix-351
a a 0 a 0 a
b b 0 b 0 b
0 c 0 0 0 c
0 0 c 0 0 c
0 0 0 c 0 c
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 c
0 0 0 c c c
0 0 c 0 0 c
0 0 c 0 c c
0 0 c c 0 0
0 0 c c c 0
0 c 0 0 0 c
0 c 0 0 c c
0 c 0 c 0 0
0 c 0 c c 0
0 c c 0 0 0
0 c c 0 c 0
0 c c c 0 c
0 c c c c c
b b 0 b 0 b
b b 0 b c b
b b 0 a 0 a
b b 0 a c a
b b c b 0 a
b b c b c a
b b c a 0 b
b b c a c b
b a 0 b 0 a
b a 0 b c a
b a 0 a 0 b
b a 0 a c b
b a c b 0 b
b a c b c b
b a c a 0 a
b a c a c a
a a 0 a 0 a
a a 0 a c a
a a 0 b 0 b
a a 0 b c b
a a c a 0 b
a a c a c b
a a c b 0 a
a a c b c a
a b 0 a 0 b
a b 0 a c b
a b 0 b 0 a
a b 0 b c a
a b c a 0 a
a b c a c a
a b c b 0 b
a b c b c b
c c 0 c 0 c
c c 0 c c c
c c 0 0 0 0
c c 0 0 c 0
c c c c 0 0
c c c c c 0
c c c 0 0 c
c c c 0 c c
c 0 0 c 0 0
c 0 0 c c 0
c 0 0 0 0 c
c 0 0 0 c c
c 0 c c 0 c
c 0 c c c c
c 0 c 0 0 0
c 0 c 0 c 0
dmin: 1
Weight Enumerator: 1x0 + 1x1 + 10x2 + 10x3 + 13x4 + 21x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)2 (X_b)4 + (X_0)1 (X_b)4 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)4 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 a 0 0 0
0 0 a 0 a 0
0 0 a 0 b 0
0 0 a 0 c 0
0 0 b 0 0 0
0 0 b 0 a 0
0 0 b 0 b 0
0 0 b 0 c 0
0 0 c 0 0 0
0 0 c 0 a 0
0 0 c 0 b 0
0 0 c 0 c 0
Is it a nice code?: No
Generator Matrix-352
a a 0 a 0 a
b b 0 b 0 b
0 c 0 0 0 c
0 0 c 0 0 c
0 0 0 c 0 c
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 c
0 0 0 c c 0
0 0 c 0 0 c
0 0 c 0 c 0
0 0 c c 0 0
0 0 c c c c
0 c 0 0 0 c
0 c 0 0 c 0
0 c 0 c 0 0
0 c 0 c c c
0 c c 0 0 0
0 c c 0 c c
0 c c c 0 c
0 c c c c 0
b b 0 b 0 b
b b 0 b c a
b b 0 a 0 a
b b 0 a c b
b b c b 0 a
b b c b c b
b b c a 0 b
b b c a c a
b a 0 b 0 a
b a 0 b c b
b a 0 a 0 b
b a 0 a c a
b a c b 0 b
b a c b c a
b a c a 0 a
b a c a c b
a a 0 a 0 a
a a 0 a c b
a a 0 b 0 b
a a 0 b c a
a a c a 0 b
a a c a c a
a a c b 0 a
a a c b c b
a b 0 a 0 b
a b 0 a c a
a b 0 b 0 a
a b 0 b c b
a b c a 0 a
a b c a c b
a b c b 0 b
a b c b c a
c c 0 c 0 c
c c 0 c c 0
c c 0 0 0 0
c c 0 0 c c
c c c c 0 0
c c c c c c
c c c 0 0 c
c c c 0 c 0
c 0 0 c 0 0
c 0 0 c c c
c 0 0 0 0 c
c 0 0 0 c 0
c 0 c c 0 c
c 0 c c c 0
c 0 c 0 0 0
c 0 c 0 c c
dmin: 2
Weight Enumerator: 1x0 + 0x1 + 15x2 + 0x3 + 23x4 + 16x5 + 9x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_b)4 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)4 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_c)6 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 a 0 0 0
0 0 a 0 a 0
0 0 a 0 b 0
0 0 a 0 c 0
0 0 b 0 0 0
0 0 b 0 a 0
0 0 b 0 b 0
0 0 b 0 c 0
0 0 c 0 0 0
0 0 c 0 a 0
0 0 c 0 b 0
0 0 c 0 c 0
Is it a nice code?: No
Generator Matrix-353
a a 0 a a 0
b b 0 b b 0
0 c 0 0 0 0
0 0 c 0 0 0
0 0 0 c 0 0
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 0
0 0 0 c c 0
0 0 c 0 0 0
0 0 c 0 c 0
0 0 c c 0 0
0 0 c c c 0
0 c 0 0 0 0
0 c 0 0 c 0
0 c 0 c 0 0
0 c 0 c c 0
0 c c 0 0 0
0 c c 0 c 0
0 c c c 0 0
0 c c c c 0
b b 0 b b 0
b b 0 b a 0
b b 0 a b 0
b b 0 a a 0
b b c b b 0
b b c b a 0
b b c a b 0
b b c a a 0
b a 0 b b 0
b a 0 b a 0
b a 0 a b 0
b a 0 a a 0
b a c b b 0
b a c b a 0
b a c a b 0
b a c a a 0
a a 0 a a 0
a a 0 a b 0
a a 0 b a 0
a a 0 b b 0
a a c a a 0
a a c a b 0
a a c b a 0
a a c b b 0
a b 0 a a 0
a b 0 a b 0
a b 0 b a 0
a b 0 b b 0
a b c a a 0
a b c a b 0
a b c b a 0
a b c b b 0
c c 0 c c 0
c c 0 c 0 0
c c 0 0 c 0
c c 0 0 0 0
c c c c c 0
c c c c 0 0
c c c 0 c 0
c c c 0 0 0
c 0 0 c c 0
c 0 0 c 0 0
c 0 0 0 c 0
c 0 0 0 0 0
c 0 c c c 0
c 0 c c 0 0
c 0 c 0 c 0
c 0 c 0 0 0
dmin: 1
Weight Enumerator: 1x0 + 5x1 + 10x2 + 10x3 + 21x4 + 17x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_b)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)2 (X_a)1 (X_b)3 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_b)4 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)3 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)2 (X_a)3 (X_b)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)4 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)3 (X_b)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c
Is it a nice code?: No
Generator Matrix-354
a a 0 a a 0
b b 0 b b 0
0 c 0 0 0 0
0 0 c 0 0 0
0 0 0 c 0 0
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 0
0 0 0 c c c
0 0 c 0 0 0
0 0 c 0 c c
0 0 c c 0 0
0 0 c c c c
0 c 0 0 0 0
0 c 0 0 c c
0 c 0 c 0 0
0 c 0 c c c
0 c c 0 0 0
0 c c 0 c c
0 c c c 0 0
0 c c c c c
b b 0 b b 0
b b 0 b a c
b b 0 a b 0
b b 0 a a c
b b c b b 0
b b c b a c
b b c a b 0
b b c a a c
b a 0 b b 0
b a 0 b a c
b a 0 a b 0
b a 0 a a c
b a c b b 0
b a c b a c
b a c a b 0
b a c a a c
a a 0 a a 0
a a 0 a b c
a a 0 b a 0
a a 0 b b c
a a c a a 0
a a c a b c
a a c b a 0
a a c b b c
a b 0 a a 0
a b 0 a b c
a b 0 b a 0
a b 0 b b c
a b c a a 0
a b c a b c
a b c b a 0
a b c b b c
c c 0 c c 0
c c 0 c 0 c
c c 0 0 c 0
c c 0 0 0 c
c c c c c 0
c c c c 0 c
c c c 0 c 0
c c c 0 0 c
c 0 0 c c 0
c 0 0 c 0 c
c 0 0 0 c 0
c 0 0 0 0 c
c 0 c c c 0
c 0 c c 0 c
c 0 c 0 c 0
c 0 c 0 0 c
dmin: 1
Weight Enumerator: 1x0 + 3x1 + 6x2 + 10x3 + 17x4 + 19x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_b)4 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)4 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c
Is it a nice code?: No
Generator Matrix-355
a a 0 a a 0
b b 0 b b 0
0 c 0 0 0 0
0 0 c 0 0 0
0 0 0 c 0 c
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 c
0 0 0 c c c
0 0 c 0 0 0
0 0 c 0 c 0
0 0 c c 0 c
0 0 c c c c
0 c 0 0 0 0
0 c 0 0 c 0
0 c 0 c 0 c
0 c 0 c c c
0 c c 0 0 0
0 c c 0 c 0
0 c c c 0 c
0 c c c c c
b b 0 b b 0
b b 0 b a 0
b b 0 a b c
b b 0 a a c
b b c b b 0
b b c b a 0
b b c a b c
b b c a a c
b a 0 b b 0
b a 0 b a 0
b a 0 a b c
b a 0 a a c
b a c b b 0
b a c b a 0
b a c a b c
b a c a a c
a a 0 a a 0
a a 0 a b 0
a a 0 b a c
a a 0 b b c
a a c a a 0
a a c a b 0
a a c b a c
a a c b b c
a b 0 a a 0
a b 0 a b 0
a b 0 b a c
a b 0 b b c
a b c a a 0
a b c a b 0
a b c b a c
a b c b b c
c c 0 c c 0
c c 0 c 0 0
c c 0 0 c c
c c 0 0 0 c
c c c c c 0
c c c c 0 0
c c c 0 c c
c c c 0 0 c
c 0 0 c c 0
c 0 0 c 0 0
c 0 0 0 c c
c 0 0 0 0 c
c 0 c c c 0
c 0 c c 0 0
c 0 c 0 c c
c 0 c 0 0 c
dmin: 1
Weight Enumerator: 1x0 + 3x1 + 6x2 + 10x3 + 17x4 + 19x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)2 (X_b)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_b)4 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)3 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)4 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)3 (X_b)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c
Is it a nice code?: No
Generator Matrix-356
a a 0 a a 0
b b 0 b b 0
0 c 0 0 0 0
0 0 c 0 0 0
0 0 0 c 0 c
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 c
0 0 0 c c 0
0 0 c 0 0 0
0 0 c 0 c c
0 0 c c 0 c
0 0 c c c 0
0 c 0 0 0 0
0 c 0 0 c c
0 c 0 c 0 c
0 c 0 c c 0
0 c c 0 0 0
0 c c 0 c c
0 c c c 0 c
0 c c c c 0
b b 0 b b 0
b b 0 b a c
b b 0 a b c
b b 0 a a 0
b b c b b 0
b b c b a c
b b c a b c
b b c a a 0
b a 0 b b 0
b a 0 b a c
b a 0 a b c
b a 0 a a 0
b a c b b 0
b a c b a c
b a c a b c
b a c a a 0
a a 0 a a 0
a a 0 a b c
a a 0 b a c
a a 0 b b 0
a a c a a 0
a a c a b c
a a c b a c
a a c b b 0
a b 0 a a 0
a b 0 a b c
a b 0 b a c
a b 0 b b 0
a b c a a 0
a b c a b c
a b c b a c
a b c b b 0
c c 0 c c 0
c c 0 c 0 c
c c 0 0 c c
c c 0 0 0 0
c c c c c 0
c c c c 0 c
c c c 0 c c
c c c 0 0 0
c 0 0 c c 0
c 0 0 c 0 c
c 0 0 0 c c
c 0 0 0 0 0
c 0 c c c 0
c 0 c c 0 c
c 0 c 0 c c
c 0 c 0 0 0
dmin: 1
Weight Enumerator: 1x0 + 3x1 + 6x2 + 10x3 + 17x4 + 19x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_b)4 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)4 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c
Is it a nice code?: No
Generator Matrix-357
a a 0 a a 0
b b 0 b b 0
0 c 0 0 0 0
0 0 c 0 0 c
0 0 0 c 0 0
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 0
0 0 0 c c 0
0 0 c 0 0 c
0 0 c 0 c c
0 0 c c 0 c
0 0 c c c c
0 c 0 0 0 0
0 c 0 0 c 0
0 c 0 c 0 0
0 c 0 c c 0
0 c c 0 0 c
0 c c 0 c c
0 c c c 0 c
0 c c c c c
b b 0 b b 0
b b 0 b a 0
b b 0 a b 0
b b 0 a a 0
b b c b b c
b b c b a c
b b c a b c
b b c a a c
b a 0 b b 0
b a 0 b a 0
b a 0 a b 0
b a 0 a a 0
b a c b b c
b a c b a c
b a c a b c
b a c a a c
a a 0 a a 0
a a 0 a b 0
a a 0 b a 0
a a 0 b b 0
a a c a a c
a a c a b c
a a c b a c
a a c b b c
a b 0 a a 0
a b 0 a b 0
a b 0 b a 0
a b 0 b b 0
a b c a a c
a b c a b c
a b c b a c
a b c b b c
c c 0 c c 0
c c 0 c 0 0
c c 0 0 c 0
c c 0 0 0 0
c c c c c c
c c c c 0 c
c c c 0 c c
c c c 0 0 c
c 0 0 c c 0
c 0 0 c 0 0
c 0 0 0 c 0
c 0 0 0 0 0
c 0 c c c c
c 0 c c 0 c
c 0 c 0 c c
c 0 c 0 0 c
dmin: 1
Weight Enumerator: 1x0 + 4x1 + 7x2 + 8x3 + 23x4 + 4x5 + 17x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)2 (X_b)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)2 (X_a)1 (X_b)3 + (X_0)2 (X_a)2 (X_b)2 + (X_b)4 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)3 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_a)3 (X_b)1 + (X_a)1 (X_b)3 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)2 (X_a)3 (X_b)1 + (X_0)2 (X_a)2 (X_b)2 + (X_a)4 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)3 (X_b)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_a)1 (X_b)3 + (X_a)3 (X_b)1 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_c)6 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c
Is it a nice code?: No
Generator Matrix-358
a a 0 a a 0
b b 0 b b 0
0 c 0 0 0 0
0 0 c 0 0 c
0 0 0 c 0 0
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 0
0 0 0 c c c
0 0 c 0 0 c
0 0 c 0 c 0
0 0 c c 0 c
0 0 c c c 0
0 c 0 0 0 0
0 c 0 0 c c
0 c 0 c 0 0
0 c 0 c c c
0 c c 0 0 c
0 c c 0 c 0
0 c c c 0 c
0 c c c c 0
b b 0 b b 0
b b 0 b a c
b b 0 a b 0
b b 0 a a c
b b c b b c
b b c b a 0
b b c a b c
b b c a a 0
b a 0 b b 0
b a 0 b a c
b a 0 a b 0
b a 0 a a c
b a c b b c
b a c b a 0
b a c a b c
b a c a a 0
a a 0 a a 0
a a 0 a b c
a a 0 b a 0
a a 0 b b c
a a c a a c
a a c a b 0
a a c b a c
a a c b b 0
a b 0 a a 0
a b 0 a b c
a b 0 b a 0
a b 0 b b c
a b c a a c
a b c a b 0
a b c b a c
a b c b b 0
c c 0 c c 0
c c 0 c 0 c
c c 0 0 c 0
c c 0 0 0 c
c c c c c c
c c c c 0 0
c c c 0 c c
c c c 0 0 0
c 0 0 c c 0
c 0 0 c 0 c
c 0 0 0 c 0
c 0 0 0 0 c
c 0 c c c c
c 0 c c 0 0
c 0 c 0 c c
c 0 c 0 0 0
dmin: 1
Weight Enumerator: 1x0 + 2x1 + 7x2 + 12x3 + 15x4 + 18x5 + 9x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_b)4 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)4 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_c)6 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c
Is it a nice code?: No
Generator Matrix-359
a a 0 a a 0
b b 0 b b 0
0 c 0 0 0 0
0 0 c 0 0 c
0 0 0 c 0 c
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 c
0 0 0 c c c
0 0 c 0 0 c
0 0 c 0 c c
0 0 c c 0 0
0 0 c c c 0
0 c 0 0 0 0
0 c 0 0 c 0
0 c 0 c 0 c
0 c 0 c c c
0 c c 0 0 c
0 c c 0 c c
0 c c c 0 0
0 c c c c 0
b b 0 b b 0
b b 0 b a 0
b b 0 a b c
b b 0 a a c
b b c b b c
b b c b a c
b b c a b 0
b b c a a 0
b a 0 b b 0
b a 0 b a 0
b a 0 a b c
b a 0 a a c
b a c b b c
b a c b a c
b a c a b 0
b a c a a 0
a a 0 a a 0
a a 0 a b 0
a a 0 b a c
a a 0 b b c
a a c a a c
a a c a b c
a a c b a 0
a a c b b 0
a b 0 a a 0
a b 0 a b 0
a b 0 b a c
a b 0 b b c
a b c a a c
a b c a b c
a b c b a 0
a b c b b 0
c c 0 c c 0
c c 0 c 0 0
c c 0 0 c c
c c 0 0 0 c
c c c c c c
c c c c 0 c
c c c 0 c 0
c c c 0 0 0
c 0 0 c c 0
c 0 0 c 0 0
c 0 0 0 c c
c 0 0 0 0 c
c 0 c c c c
c 0 c c 0 c
c 0 c 0 c 0
c 0 c 0 0 0
dmin: 1
Weight Enumerator: 1x0 + 2x1 + 7x2 + 12x3 + 15x4 + 18x5 + 9x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_b)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_b)4 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)3 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)4 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)3 (X_b)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_c)6 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c
Is it a nice code?: No
Generator Matrix-360
a a 0 a a 0
b b 0 b b 0
0 c 0 0 0 0
0 0 c 0 0 c
0 0 0 c 0 c
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 c
0 0 0 c c 0
0 0 c 0 0 c
0 0 c 0 c 0
0 0 c c 0 0
0 0 c c c c
0 c 0 0 0 0
0 c 0 0 c c
0 c 0 c 0 c
0 c 0 c c 0
0 c c 0 0 c
0 c c 0 c 0
0 c c c 0 0
0 c c c c c
b b 0 b b 0
b b 0 b a c
b b 0 a b c
b b 0 a a 0
b b c b b c
b b c b a 0
b b c a b 0
b b c a a c
b a 0 b b 0
b a 0 b a c
b a 0 a b c
b a 0 a a 0
b a c b b c
b a c b a 0
b a c a b 0
b a c a a c
a a 0 a a 0
a a 0 a b c
a a 0 b a c
a a 0 b b 0
a a c a a c
a a c a b 0
a a c b a 0
a a c b b c
a b 0 a a 0
a b 0 a b c
a b 0 b a c
a b 0 b b 0
a b c a a c
a b c a b 0
a b c b a 0
a b c b b c
c c 0 c c 0
c c 0 c 0 c
c c 0 0 c c
c c 0 0 0 0
c c c c c c
c c c c 0 0
c c c 0 c 0
c c c 0 0 c
c 0 0 c c 0
c 0 0 c 0 c
c 0 0 0 c c
c 0 0 0 0 0
c 0 c c c c
c 0 c c 0 0
c 0 c 0 c 0
c 0 c 0 0 c
dmin: 1
Weight Enumerator: 1x0 + 2x1 + 7x2 + 12x3 + 15x4 + 18x5 + 9x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_b)4 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)3 (X_b)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_a)4 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)3 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_c)6 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c
Is it a nice code?: No
Generator Matrix-361
a a 0 a a 0
b b 0 b b 0
0 c 0 0 0 c
0 0 c 0 0 0
0 0 0 c 0 0
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 0
0 0 0 c c 0
0 0 c 0 0 0
0 0 c 0 c 0
0 0 c c 0 0
0 0 c c c 0
0 c 0 0 0 c
0 c 0 0 c c
0 c 0 c 0 c
0 c 0 c c c
0 c c 0 0 c
0 c c 0 c c
0 c c c 0 c
0 c c c c c
b b 0 b b 0
b b 0 b a 0
b b 0 a b 0
b b 0 a a 0
b b c b b 0
b b c b a 0
b b c a b 0
b b c a a 0
b a 0 b b c
b a 0 b a c
b a 0 a b c
b a 0 a a c
b a c b b c
b a c b a c
b a c a b c
b a c a a c
a a 0 a a 0
a a 0 a b 0
a a 0 b a 0
a a 0 b b 0
a a c a a 0
a a c a b 0
a a c b a 0
a a c b b 0
a b 0 a a c
a b 0 a b c
a b 0 b a c
a b 0 b b c
a b c a a c
a b c a b c
a b c b a c
a b c b b c
c c 0 c c 0
c c 0 c 0 0
c c 0 0 c 0
c c 0 0 0 0
c c c c c 0
c c c c 0 0
c c c 0 c 0
c c c 0 0 0
c 0 0 c c c
c 0 0 c 0 c
c 0 0 0 c c
c 0 0 0 0 c
c 0 c c c c
c 0 c c 0 c
c 0 c 0 c c
c 0 c 0 0 c
dmin: 1
Weight Enumerator: 1x0 + 3x1 + 6x2 + 10x3 + 17x4 + 19x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)2 (X_b)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)2 (X_a)1 (X_b)3 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_b)4 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)2 (X_a)3 (X_b)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)4 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c
Is it a nice code?: No
Generator Matrix-362
a a 0 a a 0
b b 0 b b 0
0 c 0 0 0 c
0 0 c 0 0 0
0 0 0 c 0 0
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 0
0 0 0 c c c
0 0 c 0 0 0
0 0 c 0 c c
0 0 c c 0 0
0 0 c c c c
0 c 0 0 0 c
0 c 0 0 c 0
0 c 0 c 0 c
0 c 0 c c 0
0 c c 0 0 c
0 c c 0 c 0
0 c c c 0 c
0 c c c c 0
b b 0 b b 0
b b 0 b a c
b b 0 a b 0
b b 0 a a c
b b c b b 0
b b c b a c
b b c a b 0
b b c a a c
b a 0 b b c
b a 0 b a 0
b a 0 a b c
b a 0 a a 0
b a c b b c
b a c b a 0
b a c a b c
b a c a a 0
a a 0 a a 0
a a 0 a b c
a a 0 b a 0
a a 0 b b c
a a c a a 0
a a c a b c
a a c b a 0
a a c b b c
a b 0 a a c
a b 0 a b 0
a b 0 b a c
a b 0 b b 0
a b c a a c
a b c a b 0
a b c b a c
a b c b b 0
c c 0 c c 0
c c 0 c 0 c
c c 0 0 c 0
c c 0 0 0 c
c c c c c 0
c c c c 0 c
c c c 0 c 0
c c c 0 0 c
c 0 0 c c c
c 0 0 c 0 0
c 0 0 0 c c
c 0 0 0 0 0
c 0 c c c c
c 0 c c 0 0
c 0 c 0 c c
c 0 c 0 0 0
dmin: 1
Weight Enumerator: 1x0 + 3x1 + 6x2 + 10x3 + 17x4 + 19x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_b)4 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)3 (X_b)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)4 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)3 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c
Is it a nice code?: No
Generator Matrix-363
a a 0 a a 0
b b 0 b b 0
0 c 0 0 0 c
0 0 c 0 0 0
0 0 0 c 0 c
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 c
0 0 0 c c c
0 0 c 0 0 0
0 0 c 0 c 0
0 0 c c 0 c
0 0 c c c c
0 c 0 0 0 c
0 c 0 0 c c
0 c 0 c 0 0
0 c 0 c c 0
0 c c 0 0 c
0 c c 0 c c
0 c c c 0 0
0 c c c c 0
b b 0 b b 0
b b 0 b a 0
b b 0 a b c
b b 0 a a c
b b c b b 0
b b c b a 0
b b c a b c
b b c a a c
b a 0 b b c
b a 0 b a c
b a 0 a b 0
b a 0 a a 0
b a c b b c
b a c b a c
b a c a b 0
b a c a a 0
a a 0 a a 0
a a 0 a b 0
a a 0 b a c
a a 0 b b c
a a c a a 0
a a c a b 0
a a c b a c
a a c b b c
a b 0 a a c
a b 0 a b c
a b 0 b a 0
a b 0 b b 0
a b c a a c
a b c a b c
a b c b a 0
a b c b b 0
c c 0 c c 0
c c 0 c 0 0
c c 0 0 c c
c c 0 0 0 c
c c c c c 0
c c c c 0 0
c c c 0 c c
c c c 0 0 c
c 0 0 c c c
c 0 0 c 0 c
c 0 0 0 c 0
c 0 0 0 0 0
c 0 c c c c
c 0 c c 0 c
c 0 c 0 c 0
c 0 c 0 0 0
dmin: 1
Weight Enumerator: 1x0 + 3x1 + 6x2 + 10x3 + 17x4 + 19x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_b)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_b)4 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_a)3 (X_b)1 + (X_a)1 (X_b)3 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)4 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_a)1 (X_b)3 + (X_a)3 (X_b)1 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c
Is it a nice code?: No
Generator Matrix-364
a a 0 a a 0
b b 0 b b 0
0 c 0 0 0 c
0 0 c 0 0 0
0 0 0 c 0 c
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 c
0 0 0 c c 0
0 0 c 0 0 0
0 0 c 0 c c
0 0 c c 0 c
0 0 c c c 0
0 c 0 0 0 c
0 c 0 0 c 0
0 c 0 c 0 0
0 c 0 c c c
0 c c 0 0 c
0 c c 0 c 0
0 c c c 0 0
0 c c c c c
b b 0 b b 0
b b 0 b a c
b b 0 a b c
b b 0 a a 0
b b c b b 0
b b c b a c
b b c a b c
b b c a a 0
b a 0 b b c
b a 0 b a 0
b a 0 a b 0
b a 0 a a c
b a c b b c
b a c b a 0
b a c a b 0
b a c a a c
a a 0 a a 0
a a 0 a b c
a a 0 b a c
a a 0 b b 0
a a c a a 0
a a c a b c
a a c b a c
a a c b b 0
a b 0 a a c
a b 0 a b 0
a b 0 b a 0
a b 0 b b c
a b c a a c
a b c a b 0
a b c b a 0
a b c b b c
c c 0 c c 0
c c 0 c 0 c
c c 0 0 c c
c c 0 0 0 0
c c c c c 0
c c c c 0 c
c c c 0 c c
c c c 0 0 0
c 0 0 c c c
c 0 0 c 0 0
c 0 0 0 c 0
c 0 0 0 0 c
c 0 c c c c
c 0 c c 0 0
c 0 c 0 c 0
c 0 c 0 0 c
dmin: 1
Weight Enumerator: 1x0 + 1x1 + 10x2 + 10x3 + 13x4 + 21x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_b)4 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)4 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c
Is it a nice code?: No
Generator Matrix-365
a a 0 a a 0
b b 0 b b 0
0 c 0 0 0 c
0 0 c 0 0 c
0 0 0 c 0 0
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 0
0 0 0 c c 0
0 0 c 0 0 c
0 0 c 0 c c
0 0 c c 0 c
0 0 c c c c
0 c 0 0 0 c
0 c 0 0 c c
0 c 0 c 0 c
0 c 0 c c c
0 c c 0 0 0
0 c c 0 c 0
0 c c c 0 0
0 c c c c 0
b b 0 b b 0
b b 0 b a 0
b b 0 a b 0
b b 0 a a 0
b b c b b c
b b c b a c
b b c a b c
b b c a a c
b a 0 b b c
b a 0 b a c
b a 0 a b c
b a 0 a a c
b a c b b 0
b a c b a 0
b a c a b 0
b a c a a 0
a a 0 a a 0
a a 0 a b 0
a a 0 b a 0
a a 0 b b 0
a a c a a c
a a c a b c
a a c b a c
a a c b b c
a b 0 a a c
a b 0 a b c
a b 0 b a c
a b 0 b b c
a b c a a 0
a b c a b 0
a b c b a 0
a b c b b 0
c c 0 c c 0
c c 0 c 0 0
c c 0 0 c 0
c c 0 0 0 0
c c c c c c
c c c c 0 c
c c c 0 c c
c c c 0 0 c
c 0 0 c c c
c 0 0 c 0 c
c 0 0 0 c c
c 0 0 0 0 c
c 0 c c c 0
c 0 c c 0 0
c 0 c 0 c 0
c 0 c 0 0 0
dmin: 1
Weight Enumerator: 1x0 + 2x1 + 7x2 + 12x3 + 15x4 + 18x5 + 9x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_b)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)2 (X_a)1 (X_b)3 + (X_0)2 (X_a)2 (X_b)2 + (X_b)4 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)2 (X_a)3 (X_b)1 + (X_0)2 (X_a)2 (X_b)2 + (X_a)4 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_c)6 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c
Is it a nice code?: No
Generator Matrix-366
a a 0 a a 0
b b 0 b b 0
0 c 0 0 0 c
0 0 c 0 0 c
0 0 0 c 0 0
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 0
0 0 0 c c c
0 0 c 0 0 c
0 0 c 0 c 0
0 0 c c 0 c
0 0 c c c 0
0 c 0 0 0 c
0 c 0 0 c 0
0 c 0 c 0 c
0 c 0 c c 0
0 c c 0 0 0
0 c c 0 c c
0 c c c 0 0
0 c c c c c
b b 0 b b 0
b b 0 b a c
b b 0 a b 0
b b 0 a a c
b b c b b c
b b c b a 0
b b c a b c
b b c a a 0
b a 0 b b c
b a 0 b a 0
b a 0 a b c
b a 0 a a 0
b a c b b 0
b a c b a c
b a c a b 0
b a c a a c
a a 0 a a 0
a a 0 a b c
a a 0 b a 0
a a 0 b b c
a a c a a c
a a c a b 0
a a c b a c
a a c b b 0
a b 0 a a c
a b 0 a b 0
a b 0 b a c
a b 0 b b 0
a b c a a 0
a b c a b c
a b c b a 0
a b c b b c
c c 0 c c 0
c c 0 c 0 c
c c 0 0 c 0
c c 0 0 0 c
c c c c c c
c c c c 0 0
c c c 0 c c
c c c 0 0 0
c 0 0 c c c
c 0 0 c 0 0
c 0 0 0 c c
c 0 0 0 0 0
c 0 c c c 0
c 0 c c 0 c
c 0 c 0 c 0
c 0 c 0 0 c
dmin: 1
Weight Enumerator: 1x0 + 2x1 + 7x2 + 12x3 + 15x4 + 18x5 + 9x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_b)4 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)4 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_c)6 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c
Is it a nice code?: No
Generator Matrix-367
a a 0 a a 0
b b 0 b b 0
0 c 0 0 0 c
0 0 c 0 0 c
0 0 0 c 0 c
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 c
0 0 0 c c c
0 0 c 0 0 c
0 0 c 0 c c
0 0 c c 0 0
0 0 c c c 0
0 c 0 0 0 c
0 c 0 0 c c
0 c 0 c 0 0
0 c 0 c c 0
0 c c 0 0 0
0 c c 0 c 0
0 c c c 0 c
0 c c c c c
b b 0 b b 0
b b 0 b a 0
b b 0 a b c
b b 0 a a c
b b c b b c
b b c b a c
b b c a b 0
b b c a a 0
b a 0 b b c
b a 0 b a c
b a 0 a b 0
b a 0 a a 0
b a c b b 0
b a c b a 0
b a c a b c
b a c a a c
a a 0 a a 0
a a 0 a b 0
a a 0 b a c
a a 0 b b c
a a c a a c
a a c a b c
a a c b a 0
a a c b b 0
a b 0 a a c
a b 0 a b c
a b 0 b a 0
a b 0 b b 0
a b c a a 0
a b c a b 0
a b c b a c
a b c b b c
c c 0 c c 0
c c 0 c 0 0
c c 0 0 c c
c c 0 0 0 c
c c c c c c
c c c c 0 c
c c c 0 c 0
c c c 0 0 0
c 0 0 c c c
c 0 0 c 0 c
c 0 0 0 c 0
c 0 0 0 0 0
c 0 c c c 0
c 0 c c 0 0
c 0 c 0 c c
c 0 c 0 0 c
dmin: 1
Weight Enumerator: 1x0 + 2x1 + 7x2 + 12x3 + 15x4 + 18x5 + 9x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)2 (X_b)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_b)4 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)4 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_c)6 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c
Is it a nice code?: No
Generator Matrix-368
a a 0 a a 0
b b 0 b b 0
0 c 0 0 0 c
0 0 c 0 0 c
0 0 0 c 0 c
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 c
0 0 0 c c 0
0 0 c 0 0 c
0 0 c 0 c 0
0 0 c c 0 0
0 0 c c c c
0 c 0 0 0 c
0 c 0 0 c 0
0 c 0 c 0 0
0 c 0 c c c
0 c c 0 0 0
0 c c 0 c c
0 c c c 0 c
0 c c c c 0
b b 0 b b 0
b b 0 b a c
b b 0 a b c
b b 0 a a 0
b b c b b c
b b c b a 0
b b c a b 0
b b c a a c
b a 0 b b c
b a 0 b a 0
b a 0 a b 0
b a 0 a a c
b a c b b 0
b a c b a c
b a c a b c
b a c a a 0
a a 0 a a 0
a a 0 a b c
a a 0 b a c
a a 0 b b 0
a a c a a c
a a c a b 0
a a c b a 0
a a c b b c
a b 0 a a c
a b 0 a b 0
a b 0 b a 0
a b 0 b b c
a b c a a 0
a b c a b c
a b c b a c
a b c b b 0
c c 0 c c 0
c c 0 c 0 c
c c 0 0 c c
c c 0 0 0 0
c c c c c c
c c c c 0 0
c c c 0 c 0
c c c 0 0 c
c 0 0 c c c
c 0 0 c 0 0
c 0 0 0 c 0
c 0 0 0 0 c
c 0 c c c 0
c 0 c c 0 c
c 0 c 0 c c
c 0 c 0 0 0
dmin: 2
Weight Enumerator: 1x0 + 0x1 + 15x2 + 0x3 + 23x4 + 16x5 + 9x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_b)4 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_a)4 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_c)6 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 a 0 0 0
0 0 a 0 0 a
0 0 a 0 0 b
0 0 a 0 0 c
0 0 b 0 0 0
0 0 b 0 0 a
0 0 b 0 0 b
0 0 b 0 0 c
0 0 c 0 0 0
0 0 c 0 0 a
0 0 c 0 0 b
0 0 c 0 0 c
Is it a nice code?: No
Generator Matrix-369
a a 0 a a a
b b 0 b b b
0 c 0 0 0 0
0 0 c 0 0 0
0 0 0 c 0 0
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 0
0 0 0 c c 0
0 0 c 0 0 0
0 0 c 0 c 0
0 0 c c 0 0
0 0 c c c 0
0 c 0 0 0 0
0 c 0 0 c 0
0 c 0 c 0 0
0 c 0 c c 0
0 c c 0 0 0
0 c c 0 c 0
0 c c c 0 0
0 c c c c 0
b b 0 b b b
b b 0 b a b
b b 0 a b b
b b 0 a a b
b b c b b b
b b c b a b
b b c a b b
b b c a a b
b a 0 b b b
b a 0 b a b
b a 0 a b b
b a 0 a a b
b a c b b b
b a c b a b
b a c a b b
b a c a a b
a a 0 a a a
a a 0 a b a
a a 0 b a a
a a 0 b b a
a a c a a a
a a c a b a
a a c b a a
a a c b b a
a b 0 a a a
a b 0 a b a
a b 0 b a a
a b 0 b b a
a b c a a a
a b c a b a
a b c b a a
a b c b b a
c c 0 c c c
c c 0 c 0 c
c c 0 0 c c
c c 0 0 0 c
c c c c c c
c c c c 0 c
c c c 0 c c
c c c 0 0 c
c 0 0 c c c
c 0 0 c 0 c
c 0 0 0 c c
c 0 0 0 0 c
c 0 c c c c
c 0 c c 0 c
c 0 c 0 c c
c 0 c 0 0 c
dmin: 1
Weight Enumerator: 1x0 + 4x1 + 7x2 + 8x3 + 7x4 + 20x5 + 17x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_b)5 + (X_0)1 (X_a)1 (X_b)4 + (X_0)1 (X_a)1 (X_b)4 + (X_0)1 (X_a)2 (X_b)3 + (X_b)5 (X_c)1 + (X_a)1 (X_b)4 (X_c)1 + (X_a)1 (X_b)4 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)4 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)3 (X_b)2 + (X_a)1 (X_b)4 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)4 (X_b)1 + (X_0)1 (X_a)4 (X_b)1 + (X_0)1 (X_a)3 (X_b)2 + (X_a)5 (X_c)1 + (X_a)4 (X_b)1 (X_c)1 + (X_a)4 (X_b)1 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)4 (X_b)1 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)2 (X_b)3 + (X_a)4 (X_b)1 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_c)6 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3
Dual Codewords:
0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0
Is it a nice code?: No
Generator Matrix-370
a a 0 a a a
b b 0 b b b
0 c 0 0 0 0
0 0 c 0 0 0
0 0 0 c 0 0
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 0
0 0 0 c c c
0 0 c 0 0 0
0 0 c 0 c c
0 0 c c 0 0
0 0 c c c c
0 c 0 0 0 0
0 c 0 0 c c
0 c 0 c 0 0
0 c 0 c c c
0 c c 0 0 0
0 c c 0 c c
0 c c c 0 0
0 c c c c c
b b 0 b b b
b b 0 b a a
b b 0 a b b
b b 0 a a a
b b c b b b
b b c b a a
b b c a b b
b b c a a a
b a 0 b b b
b a 0 b a a
b a 0 a b b
b a 0 a a a
b a c b b b
b a c b a a
b a c a b b
b a c a a a
a a 0 a a a
a a 0 a b b
a a 0 b a a
a a 0 b b b
a a c a a a
a a c a b b
a a c b a a
a a c b b b
a b 0 a a a
a b 0 a b b
a b 0 b a a
a b 0 b b b
a b c a a a
a b c a b b
a b c b a a
a b c b b b
c c 0 c c c
c c 0 c 0 0
c c 0 0 c c
c c 0 0 0 0
c c c c c c
c c c c 0 0
c c c 0 c c
c c c 0 0 0
c 0 0 c c c
c 0 0 c 0 0
c 0 0 0 c c
c 0 0 0 0 0
c 0 c c c c
c 0 c c 0 0
c 0 c 0 c c
c 0 c 0 0 0
dmin: 1
Weight Enumerator: 1x0 + 4x1 + 7x2 + 8x3 + 7x4 + 20x5 + 17x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)1 (X_b)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)1 (X_b)4 + (X_0)1 (X_a)3 (X_b)2 + (X_b)5 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)1 (X_b)4 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)4 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)4 (X_b)1 + (X_a)1 (X_b)4 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)4 (X_b)1 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)4 (X_b)1 + (X_0)1 (X_a)2 (X_b)3 + (X_a)5 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)4 (X_b)1 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)4 (X_b)1 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)1 (X_b)4 + (X_a)4 (X_b)1 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)1 (X_b)4 (X_c)1 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_c)6 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2
Dual Codewords:
0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0
Is it a nice code?: No
Generator Matrix-371
a a 0 a a a
b b 0 b b b
0 c 0 0 0 0
0 0 c 0 0 0
0 0 0 c 0 c
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 c
0 0 0 c c c
0 0 c 0 0 0
0 0 c 0 c 0
0 0 c c 0 c
0 0 c c c c
0 c 0 0 0 0
0 c 0 0 c 0
0 c 0 c 0 c
0 c 0 c c c
0 c c 0 0 0
0 c c 0 c 0
0 c c c 0 c
0 c c c c c
b b 0 b b b
b b 0 b a b
b b 0 a b a
b b 0 a a a
b b c b b b
b b c b a b
b b c a b a
b b c a a a
b a 0 b b b
b a 0 b a b
b a 0 a b a
b a 0 a a a
b a c b b b
b a c b a b
b a c a b a
b a c a a a
a a 0 a a a
a a 0 a b a
a a 0 b a b
a a 0 b b b
a a c a a a
a a c a b a
a a c b a b
a a c b b b
a b 0 a a a
a b 0 a b a
a b 0 b a b
a b 0 b b b
a b c a a a
a b c a b a
a b c b a b
a b c b b b
c c 0 c c c
c c 0 c 0 c
c c 0 0 c 0
c c 0 0 0 0
c c c c c c
c c c c 0 c
c c c 0 c 0
c c c 0 0 0
c 0 0 c c c
c 0 0 c 0 c
c 0 0 0 c 0
c 0 0 0 0 0
c 0 c c c c
c 0 c c 0 c
c 0 c 0 c 0
c 0 c 0 0 0
dmin: 1
Weight Enumerator: 1x0 + 4x1 + 7x2 + 8x3 + 7x4 + 20x5 + 17x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)1 (X_b)5 + (X_0)1 (X_a)1 (X_b)4 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)3 (X_b)2 + (X_b)5 (X_c)1 + (X_a)1 (X_b)4 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)4 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)4 (X_b)1 + (X_a)1 (X_b)4 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)4 (X_b)1 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)4 (X_b)1 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)2 (X_b)3 + (X_a)5 (X_c)1 + (X_a)4 (X_b)1 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)4 (X_b)1 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)1 (X_b)4 + (X_a)4 (X_b)1 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)1 (X_b)4 (X_c)1 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_c)6 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2
Dual Codewords:
0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0
Is it a nice code?: No
Generator Matrix-372
a a 0 a a a
b b 0 b b b
0 c 0 0 0 0
0 0 c 0 0 0
0 0 0 c 0 c
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 c
0 0 0 c c 0
0 0 c 0 0 0
0 0 c 0 c c
0 0 c c 0 c
0 0 c c c 0
0 c 0 0 0 0
0 c 0 0 c c
0 c 0 c 0 c
0 c 0 c c 0
0 c c 0 0 0
0 c c 0 c c
0 c c c 0 c
0 c c c c 0
b b 0 b b b
b b 0 b a a
b b 0 a b a
b b 0 a a b
b b c b b b
b b c b a a
b b c a b a
b b c a a b
b a 0 b b b
b a 0 b a a
b a 0 a b a
b a 0 a a b
b a c b b b
b a c b a a
b a c a b a
b a c a a b
a a 0 a a a
a a 0 a b b
a a 0 b a b
a a 0 b b a
a a c a a a
a a c a b b
a a c b a b
a a c b b a
a b 0 a a a
a b 0 a b b
a b 0 b a b
a b 0 b b a
a b c a a a
a b c a b b
a b c b a b
a b c b b a
c c 0 c c c
c c 0 c 0 0
c c 0 0 c 0
c c 0 0 0 c
c c c c c c
c c c c 0 0
c c c 0 c 0
c c c 0 0 c
c 0 0 c c c
c 0 0 c 0 0
c 0 0 0 c 0
c 0 0 0 0 c
c 0 c c c c
c 0 c c 0 0
c 0 c 0 c 0
c 0 c 0 0 c
dmin: 1
Weight Enumerator: 1x0 + 2x1 + 7x2 + 12x3 + 7x4 + 18x5 + 17x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_b)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)2 (X_b)3 + (X_b)5 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)4 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)3 (X_b)2 + (X_a)1 (X_b)4 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)3 (X_b)2 + (X_a)5 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)4 (X_b)1 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)2 (X_b)3 + (X_a)4 (X_b)1 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_c)6 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3
Dual Codewords:
0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0
Is it a nice code?: No
Generator Matrix-373
a a 0 a a a
b b 0 b b b
0 c 0 0 0 0
0 0 c 0 0 c
0 0 0 c 0 0
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 0
0 0 0 c c 0
0 0 c 0 0 c
0 0 c 0 c c
0 0 c c 0 c
0 0 c c c c
0 c 0 0 0 0
0 c 0 0 c 0
0 c 0 c 0 0
0 c 0 c c 0
0 c c 0 0 c
0 c c 0 c c
0 c c c 0 c
0 c c c c c
b b 0 b b b
b b 0 b a b
b b 0 a b b
b b 0 a a b
b b c b b a
b b c b a a
b b c a b a
b b c a a a
b a 0 b b b
b a 0 b a b
b a 0 a b b
b a 0 a a b
b a c b b a
b a c b a a
b a c a b a
b a c a a a
a a 0 a a a
a a 0 a b a
a a 0 b a a
a a 0 b b a
a a c a a b
a a c a b b
a a c b a b
a a c b b b
a b 0 a a a
a b 0 a b a
a b 0 b a a
a b 0 b b a
a b c a a b
a b c a b b
a b c b a b
a b c b b b
c c 0 c c c
c c 0 c 0 c
c c 0 0 c c
c c 0 0 0 c
c c c c c 0
c c c c 0 0
c c c 0 c 0
c c c 0 0 0
c 0 0 c c c
c 0 0 c 0 c
c 0 0 0 c c
c 0 0 0 0 c
c 0 c c c 0
c 0 c c 0 0
c 0 c 0 c 0
c 0 c 0 0 0
dmin: 1
Weight Enumerator: 1x0 + 3x1 + 6x2 + 10x3 + 9x4 + 19x5 + 16x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)1 (X_b)5 + (X_0)1 (X_a)1 (X_b)4 + (X_0)1 (X_a)1 (X_b)4 + (X_0)1 (X_a)2 (X_b)3 + (X_a)1 (X_b)4 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)4 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)3 (X_b)2 + (X_a)2 (X_b)3 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)4 (X_b)1 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)4 (X_b)1 + (X_0)1 (X_a)4 (X_b)1 + (X_0)1 (X_a)3 (X_b)2 + (X_a)4 (X_b)1 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)4 (X_b)1 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)2 (X_b)3 + (X_a)3 (X_b)2 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)1 (X_b)4 (X_c)1 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2
Dual Codewords:
0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0
Is it a nice code?: No
Generator Matrix-374
a a 0 a a a
b b 0 b b b
0 c 0 0 0 0
0 0 c 0 0 c
0 0 0 c 0 0
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 0
0 0 0 c c c
0 0 c 0 0 c
0 0 c 0 c 0
0 0 c c 0 c
0 0 c c c 0
0 c 0 0 0 0
0 c 0 0 c c
0 c 0 c 0 0
0 c 0 c c c
0 c c 0 0 c
0 c c 0 c 0
0 c c c 0 c
0 c c c c 0
b b 0 b b b
b b 0 b a a
b b 0 a b b
b b 0 a a a
b b c b b a
b b c b a b
b b c a b a
b b c a a b
b a 0 b b b
b a 0 b a a
b a 0 a b b
b a 0 a a a
b a c b b a
b a c b a b
b a c a b a
b a c a a b
a a 0 a a a
a a 0 a b b
a a 0 b a a
a a 0 b b b
a a c a a b
a a c a b a
a a c b a b
a a c b b a
a b 0 a a a
a b 0 a b b
a b 0 b a a
a b 0 b b b
a b c a a b
a b c a b a
a b c b a b
a b c b b a
c c 0 c c c
c c 0 c 0 0
c c 0 0 c c
c c 0 0 0 0
c c c c c 0
c c c c 0 c
c c c 0 c 0
c c c 0 0 c
c 0 0 c c c
c 0 0 c 0 0
c 0 0 0 c c
c 0 0 0 0 0
c 0 c c c 0
c 0 c c 0 c
c 0 c 0 c 0
c 0 c 0 0 c
dmin: 1
Weight Enumerator: 1x0 + 3x1 + 6x2 + 10x3 + 9x4 + 19x5 + 16x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_b)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)1 (X_b)4 + (X_0)1 (X_a)3 (X_b)2 + (X_a)1 (X_b)4 (X_c)1 + (X_a)1 (X_b)4 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)4 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)4 (X_b)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)4 (X_b)1 + (X_0)1 (X_a)2 (X_b)3 + (X_a)4 (X_b)1 (X_c)1 + (X_a)4 (X_b)1 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)4 (X_b)1 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)1 (X_b)4 + (X_a)3 (X_b)2 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3
Dual Codewords:
0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0
Is it a nice code?: No
Generator Matrix-375
a a 0 a a a
b b 0 b b b
0 c 0 0 0 0
0 0 c 0 0 c
0 0 0 c 0 c
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 c
0 0 0 c c c
0 0 c 0 0 c
0 0 c 0 c c
0 0 c c 0 0
0 0 c c c 0
0 c 0 0 0 0
0 c 0 0 c 0
0 c 0 c 0 c
0 c 0 c c c
0 c c 0 0 c
0 c c 0 c c
0 c c c 0 0
0 c c c c 0
b b 0 b b b
b b 0 b a b
b b 0 a b a
b b 0 a a a
b b c b b a
b b c b a a
b b c a b b
b b c a a b
b a 0 b b b
b a 0 b a b
b a 0 a b a
b a 0 a a a
b a c b b a
b a c b a a
b a c a b b
b a c a a b
a a 0 a a a
a a 0 a b a
a a 0 b a b
a a 0 b b b
a a c a a b
a a c a b b
a a c b a a
a a c b b a
a b 0 a a a
a b 0 a b a
a b 0 b a b
a b 0 b b b
a b c a a b
a b c a b b
a b c b a a
a b c b b a
c c 0 c c c
c c 0 c 0 c
c c 0 0 c 0
c c 0 0 0 0
c c c c c 0
c c c c 0 0
c c c 0 c c
c c c 0 0 c
c 0 0 c c c
c 0 0 c 0 c
c 0 0 0 c 0
c 0 0 0 0 0
c 0 c c c 0
c 0 c c 0 0
c 0 c 0 c c
c 0 c 0 0 c
dmin: 1
Weight Enumerator: 1x0 + 3x1 + 6x2 + 10x3 + 9x4 + 19x5 + 16x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_b)5 + (X_0)1 (X_a)1 (X_b)4 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)3 (X_b)2 + (X_a)1 (X_b)4 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)1 (X_b)4 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)4 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)4 (X_b)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)4 (X_b)1 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)2 (X_b)3 + (X_a)4 (X_b)1 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)4 (X_b)1 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)4 (X_b)1 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)1 (X_b)4 + (X_a)3 (X_b)2 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3
Dual Codewords:
0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0
Is it a nice code?: No
Generator Matrix-376
a a 0 a a a
b b 0 b b b
0 c 0 0 0 0
0 0 c 0 0 c
0 0 0 c 0 c
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 c
0 0 0 c c 0
0 0 c 0 0 c
0 0 c 0 c 0
0 0 c c 0 0
0 0 c c c c
0 c 0 0 0 0
0 c 0 0 c c
0 c 0 c 0 c
0 c 0 c c 0
0 c c 0 0 c
0 c c 0 c 0
0 c c c 0 0
0 c c c c c
b b 0 b b b
b b 0 b a a
b b 0 a b a
b b 0 a a b
b b c b b a
b b c b a b
b b c a b b
b b c a a a
b a 0 b b b
b a 0 b a a
b a 0 a b a
b a 0 a a b
b a c b b a
b a c b a b
b a c a b b
b a c a a a
a a 0 a a a
a a 0 a b b
a a 0 b a b
a a 0 b b a
a a c a a b
a a c a b a
a a c b a a
a a c b b b
a b 0 a a a
a b 0 a b b
a b 0 b a b
a b 0 b b a
a b c a a b
a b c a b a
a b c b a a
a b c b b b
c c 0 c c c
c c 0 c 0 0
c c 0 0 c 0
c c 0 0 0 c
c c c c c 0
c c c c 0 c
c c c 0 c c
c c c 0 0 0
c 0 0 c c c
c 0 0 c 0 0
c 0 0 0 c 0
c 0 0 0 0 c
c 0 c c c 0
c 0 c c 0 c
c 0 c 0 c c
c 0 c 0 0 0
dmin: 1
Weight Enumerator: 1x0 + 1x1 + 10x2 + 10x3 + 5x4 + 21x5 + 16x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)1 (X_b)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)2 (X_b)3 + (X_a)1 (X_b)4 (X_c)1 + (X_a)1 (X_b)4 (X_c)1 + (X_a)1 (X_b)4 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)4 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)3 (X_b)2 + (X_a)2 (X_b)3 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)4 (X_b)1 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)3 (X_b)2 + (X_a)4 (X_b)1 (X_c)1 + (X_a)4 (X_b)1 (X_c)1 + (X_a)4 (X_b)1 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)4 (X_b)1 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)2 (X_b)3 + (X_a)3 (X_b)2 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)1 (X_b)4 (X_c)1 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2
Dual Codewords:
0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0
Is it a nice code?: No
Generator Matrix-377
a a 0 a a a
b b 0 b b b
0 c 0 0 0 c
0 0 c 0 0 0
0 0 0 c 0 0
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 0
0 0 0 c c 0
0 0 c 0 0 0
0 0 c 0 c 0
0 0 c c 0 0
0 0 c c c 0
0 c 0 0 0 c
0 c 0 0 c c
0 c 0 c 0 c
0 c 0 c c c
0 c c 0 0 c
0 c c 0 c c
0 c c c 0 c
0 c c c c c
b b 0 b b b
b b 0 b a b
b b 0 a b b
b b 0 a a b
b b c b b b
b b c b a b
b b c a b b
b b c a a b
b a 0 b b a
b a 0 b a a
b a 0 a b a
b a 0 a a a
b a c b b a
b a c b a a
b a c a b a
b a c a a a
a a 0 a a a
a a 0 a b a
a a 0 b a a
a a 0 b b a
a a c a a a
a a c a b a
a a c b a a
a a c b b a
a b 0 a a b
a b 0 a b b
a b 0 b a b
a b 0 b b b
a b c a a b
a b c a b b
a b c b a b
a b c b b b
c c 0 c c c
c c 0 c 0 c
c c 0 0 c c
c c 0 0 0 c
c c c c c c
c c c c 0 c
c c c 0 c c
c c c 0 0 c
c 0 0 c c 0
c 0 0 c 0 0
c 0 0 0 c 0
c 0 0 0 0 0
c 0 c c c 0
c 0 c c 0 0
c 0 c 0 c 0
c 0 c 0 0 0
dmin: 1
Weight Enumerator: 1x0 + 4x1 + 7x2 + 8x3 + 7x4 + 20x5 + 17x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)1 (X_b)5 + (X_0)1 (X_a)1 (X_b)4 + (X_0)1 (X_a)1 (X_b)4 + (X_0)1 (X_a)2 (X_b)3 + (X_b)5 (X_c)1 + (X_a)1 (X_b)4 (X_c)1 + (X_a)1 (X_b)4 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)4 (X_b)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)4 (X_b)1 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)4 (X_b)1 + (X_0)1 (X_a)4 (X_b)1 + (X_0)1 (X_a)3 (X_b)2 + (X_a)5 (X_c)1 + (X_a)4 (X_b)1 (X_c)1 + (X_a)4 (X_b)1 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)1 (X_b)4 + (X_a)3 (X_b)2 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)1 (X_b)4 (X_c)1 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_c)6 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2
Dual Codewords:
0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0
Is it a nice code?: No
Generator Matrix-378
a a 0 a a a
b b 0 b b b
0 c 0 0 0 c
0 0 c 0 0 0
0 0 0 c 0 0
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 0
0 0 0 c c c
0 0 c 0 0 0
0 0 c 0 c c
0 0 c c 0 0
0 0 c c c c
0 c 0 0 0 c
0 c 0 0 c 0
0 c 0 c 0 c
0 c 0 c c 0
0 c c 0 0 c
0 c c 0 c 0
0 c c c 0 c
0 c c c c 0
b b 0 b b b
b b 0 b a a
b b 0 a b b
b b 0 a a a
b b c b b b
b b c b a a
b b c a b b
b b c a a a
b a 0 b b a
b a 0 b a b
b a 0 a b a
b a 0 a a b
b a c b b a
b a c b a b
b a c a b a
b a c a a b
a a 0 a a a
a a 0 a b b
a a 0 b a a
a a 0 b b b
a a c a a a
a a c a b b
a a c b a a
a a c b b b
a b 0 a a b
a b 0 a b a
a b 0 b a b
a b 0 b b a
a b c a a b
a b c a b a
a b c b a b
a b c b b a
c c 0 c c c
c c 0 c 0 0
c c 0 0 c c
c c 0 0 0 0
c c c c c c
c c c c 0 0
c c c 0 c c
c c c 0 0 0
c 0 0 c c 0
c 0 0 c 0 c
c 0 0 0 c 0
c 0 0 0 0 c
c 0 c c c 0
c 0 c c 0 c
c 0 c 0 c 0
c 0 c 0 0 c
dmin: 1
Weight Enumerator: 1x0 + 2x1 + 7x2 + 12x3 + 7x4 + 18x5 + 17x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_b)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)1 (X_b)4 + (X_0)1 (X_a)3 (X_b)2 + (X_b)5 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)1 (X_b)4 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)3 (X_b)2 + (X_a)2 (X_b)3 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)4 (X_b)1 + (X_0)1 (X_a)2 (X_b)3 + (X_a)5 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)4 (X_b)1 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)2 (X_b)3 + (X_a)3 (X_b)2 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_c)6 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3
Dual Codewords:
0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0
Is it a nice code?: No
Generator Matrix-379
a a 0 a a a
b b 0 b b b
0 c 0 0 0 c
0 0 c 0 0 0
0 0 0 c 0 c
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 c
0 0 0 c c c
0 0 c 0 0 0
0 0 c 0 c 0
0 0 c c 0 c
0 0 c c c c
0 c 0 0 0 c
0 c 0 0 c c
0 c 0 c 0 0
0 c 0 c c 0
0 c c 0 0 c
0 c c 0 c c
0 c c c 0 0
0 c c c c 0
b b 0 b b b
b b 0 b a b
b b 0 a b a
b b 0 a a a
b b c b b b
b b c b a b
b b c a b a
b b c a a a
b a 0 b b a
b a 0 b a a
b a 0 a b b
b a 0 a a b
b a c b b a
b a c b a a
b a c a b b
b a c a a b
a a 0 a a a
a a 0 a b a
a a 0 b a b
a a 0 b b b
a a c a a a
a a c a b a
a a c b a b
a a c b b b
a b 0 a a b
a b 0 a b b
a b 0 b a a
a b 0 b b a
a b c a a b
a b c a b b
a b c b a a
a b c b b a
c c 0 c c c
c c 0 c 0 c
c c 0 0 c 0
c c 0 0 0 0
c c c c c c
c c c c 0 c
c c c 0 c 0
c c c 0 0 0
c 0 0 c c 0
c 0 0 c 0 0
c 0 0 0 c c
c 0 0 0 0 c
c 0 c c c 0
c 0 c c 0 0
c 0 c 0 c c
c 0 c 0 0 c
dmin: 1
Weight Enumerator: 1x0 + 2x1 + 7x2 + 12x3 + 7x4 + 18x5 + 17x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_b)5 + (X_0)1 (X_a)1 (X_b)4 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)3 (X_b)2 + (X_b)5 (X_c)1 + (X_a)1 (X_b)4 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)3 (X_b)2 + (X_a)2 (X_b)3 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)4 (X_b)1 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)2 (X_b)3 + (X_a)5 (X_c)1 + (X_a)4 (X_b)1 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)2 (X_b)3 + (X_a)3 (X_b)2 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_c)6 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3
Dual Codewords:
0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0
Is it a nice code?: No
Generator Matrix-380
a a 0 a a a
b b 0 b b b
0 c 0 0 0 c
0 0 c 0 0 0
0 0 0 c 0 c
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 c
0 0 0 c c 0
0 0 c 0 0 0
0 0 c 0 c c
0 0 c c 0 c
0 0 c c c 0
0 c 0 0 0 c
0 c 0 0 c 0
0 c 0 c 0 0
0 c 0 c c c
0 c c 0 0 c
0 c c 0 c 0
0 c c c 0 0
0 c c c c c
b b 0 b b b
b b 0 b a a
b b 0 a b a
b b 0 a a b
b b c b b b
b b c b a a
b b c a b a
b b c a a b
b a 0 b b a
b a 0 b a b
b a 0 a b b
b a 0 a a a
b a c b b a
b a c b a b
b a c a b b
b a c a a a
a a 0 a a a
a a 0 a b b
a a 0 b a b
a a 0 b b a
a a c a a a
a a c a b b
a a c b a b
a a c b b a
a b 0 a a b
a b 0 a b a
a b 0 b a a
a b 0 b b b
a b c a a b
a b c a b a
a b c b a a
a b c b b b
c c 0 c c c
c c 0 c 0 0
c c 0 0 c 0
c c 0 0 0 c
c c c c c c
c c c c 0 0
c c c 0 c 0
c c c 0 0 c
c 0 0 c c 0
c 0 0 c 0 c
c 0 0 0 c c
c 0 0 0 0 0
c 0 c c c 0
c 0 c c 0 c
c 0 c 0 c c
c 0 c 0 0 0
dmin: 1
Weight Enumerator: 1x0 + 2x1 + 7x2 + 12x3 + 7x4 + 18x5 + 17x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)1 (X_b)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)2 (X_b)3 + (X_b)5 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)4 (X_b)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)4 (X_b)1 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)3 (X_b)2 + (X_a)5 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)1 (X_b)4 + (X_a)3 (X_b)2 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)1 (X_b)4 (X_c)1 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_c)6 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2
Dual Codewords:
0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0
Is it a nice code?: No
Generator Matrix-381
a a 0 a a a
b b 0 b b b
0 c 0 0 0 c
0 0 c 0 0 c
0 0 0 c 0 0
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 0
0 0 0 c c 0
0 0 c 0 0 c
0 0 c 0 c c
0 0 c c 0 c
0 0 c c c c
0 c 0 0 0 c
0 c 0 0 c c
0 c 0 c 0 c
0 c 0 c c c
0 c c 0 0 0
0 c c 0 c 0
0 c c c 0 0
0 c c c c 0
b b 0 b b b
b b 0 b a b
b b 0 a b b
b b 0 a a b
b b c b b a
b b c b a a
b b c a b a
b b c a a a
b a 0 b b a
b a 0 b a a
b a 0 a b a
b a 0 a a a
b a c b b b
b a c b a b
b a c a b b
b a c a a b
a a 0 a a a
a a 0 a b a
a a 0 b a a
a a 0 b b a
a a c a a b
a a c a b b
a a c b a b
a a c b b b
a b 0 a a b
a b 0 a b b
a b 0 b a b
a b 0 b b b
a b c a a a
a b c a b a
a b c b a a
a b c b b a
c c 0 c c c
c c 0 c 0 c
c c 0 0 c c
c c 0 0 0 c
c c c c c 0
c c c c 0 0
c c c 0 c 0
c c c 0 0 0
c 0 0 c c 0
c 0 0 c 0 0
c 0 0 0 c 0
c 0 0 0 0 0
c 0 c c c c
c 0 c c 0 c
c 0 c 0 c c
c 0 c 0 0 c
dmin: 1
Weight Enumerator: 1x0 + 3x1 + 6x2 + 10x3 + 9x4 + 19x5 + 16x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_b)5 + (X_0)1 (X_a)1 (X_b)4 + (X_0)1 (X_a)1 (X_b)4 + (X_0)1 (X_a)2 (X_b)3 + (X_a)1 (X_b)4 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)4 (X_b)1 + (X_a)1 (X_b)4 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)4 (X_b)1 + (X_0)1 (X_a)4 (X_b)1 + (X_0)1 (X_a)3 (X_b)2 + (X_a)4 (X_b)1 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)1 (X_b)4 + (X_a)4 (X_b)1 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3
Dual Codewords:
0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0
Is it a nice code?: No
Generator Matrix-382
a a 0 a a a
b b 0 b b b
0 c 0 0 0 c
0 0 c 0 0 c
0 0 0 c 0 0
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 0
0 0 0 c c c
0 0 c 0 0 c
0 0 c 0 c 0
0 0 c c 0 c
0 0 c c c 0
0 c 0 0 0 c
0 c 0 0 c 0
0 c 0 c 0 c
0 c 0 c c 0
0 c c 0 0 0
0 c c 0 c c
0 c c c 0 0
0 c c c c c
b b 0 b b b
b b 0 b a a
b b 0 a b b
b b 0 a a a
b b c b b a
b b c b a b
b b c a b a
b b c a a b
b a 0 b b a
b a 0 b a b
b a 0 a b a
b a 0 a a b
b a c b b b
b a c b a a
b a c a b b
b a c a a a
a a 0 a a a
a a 0 a b b
a a 0 b a a
a a 0 b b b
a a c a a b
a a c a b a
a a c b a b
a a c b b a
a b 0 a a b
a b 0 a b a
a b 0 b a b
a b 0 b b a
a b c a a a
a b c a b b
a b c b a a
a b c b b b
c c 0 c c c
c c 0 c 0 0
c c 0 0 c c
c c 0 0 0 0
c c c c c 0
c c c c 0 c
c c c 0 c 0
c c c 0 0 c
c 0 0 c c 0
c 0 0 c 0 c
c 0 0 0 c 0
c 0 0 0 0 c
c 0 c c c c
c 0 c c 0 0
c 0 c 0 c c
c 0 c 0 0 0
dmin: 1
Weight Enumerator: 1x0 + 1x1 + 10x2 + 10x3 + 5x4 + 21x5 + 16x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)1 (X_b)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)1 (X_b)4 + (X_0)1 (X_a)3 (X_b)2 + (X_a)1 (X_b)4 (X_c)1 + (X_a)1 (X_b)4 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)3 (X_b)2 + (X_a)1 (X_b)4 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)4 (X_b)1 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)4 (X_b)1 + (X_0)1 (X_a)2 (X_b)3 + (X_a)4 (X_b)1 (X_c)1 + (X_a)4 (X_b)1 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)2 (X_b)3 + (X_a)4 (X_b)1 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)1 (X_b)4 (X_c)1 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2
Dual Codewords:
0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0
Is it a nice code?: No
Generator Matrix-383
a a 0 a a a
b b 0 b b b
0 c 0 0 0 c
0 0 c 0 0 c
0 0 0 c 0 c
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 c
0 0 0 c c c
0 0 c 0 0 c
0 0 c 0 c c
0 0 c c 0 0
0 0 c c c 0
0 c 0 0 0 c
0 c 0 0 c c
0 c 0 c 0 0
0 c 0 c c 0
0 c c 0 0 0
0 c c 0 c 0
0 c c c 0 c
0 c c c c c
b b 0 b b b
b b 0 b a b
b b 0 a b a
b b 0 a a a
b b c b b a
b b c b a a
b b c a b b
b b c a a b
b a 0 b b a
b a 0 b a a
b a 0 a b b
b a 0 a a b
b a c b b b
b a c b a b
b a c a b a
b a c a a a
a a 0 a a a
a a 0 a b a
a a 0 b a b
a a 0 b b b
a a c a a b
a a c a b b
a a c b a a
a a c b b a
a b 0 a a b
a b 0 a b b
a b 0 b a a
a b 0 b b a
a b c a a a
a b c a b a
a b c b a b
a b c b b b
c c 0 c c c
c c 0 c 0 c
c c 0 0 c 0
c c 0 0 0 0
c c c c c 0
c c c c 0 0
c c c 0 c c
c c c 0 0 c
c 0 0 c c 0
c 0 0 c 0 0
c 0 0 0 c c
c 0 0 0 0 c
c 0 c c c c
c 0 c c 0 c
c 0 c 0 c 0
c 0 c 0 0 0
dmin: 1
Weight Enumerator: 1x0 + 1x1 + 10x2 + 10x3 + 5x4 + 21x5 + 16x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)1 (X_b)5 + (X_0)1 (X_a)1 (X_b)4 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)3 (X_b)2 + (X_a)1 (X_b)4 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)1 (X_b)4 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)3 (X_b)2 + (X_a)1 (X_b)4 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)4 (X_b)1 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)4 (X_b)1 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)2 (X_b)3 + (X_a)4 (X_b)1 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)4 (X_b)1 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)2 (X_b)3 + (X_a)4 (X_b)1 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)1 (X_b)4 (X_c)1 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2
Dual Codewords:
0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0
Is it a nice code?: No
Generator Matrix-384
a a 0 a a a
b b 0 b b b
0 c 0 0 0 c
0 0 c 0 0 c
0 0 0 c 0 c
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 c
0 0 0 c c 0
0 0 c 0 0 c
0 0 c 0 c 0
0 0 c c 0 0
0 0 c c c c
0 c 0 0 0 c
0 c 0 0 c 0
0 c 0 c 0 0
0 c 0 c c c
0 c c 0 0 0
0 c c 0 c c
0 c c c 0 c
0 c c c c 0
b b 0 b b b
b b 0 b a a
b b 0 a b a
b b 0 a a b
b b c b b a
b b c b a b
b b c a b b
b b c a a a
b a 0 b b a
b a 0 b a b
b a 0 a b b
b a 0 a a a
b a c b b b
b a c b a a
b a c a b a
b a c a a b
a a 0 a a a
a a 0 a b b
a a 0 b a b
a a 0 b b a
a a c a a b
a a c a b a
a a c b a a
a a c b b b
a b 0 a a b
a b 0 a b a
a b 0 b a a
a b 0 b b b
a b c a a a
a b c a b b
a b c b a b
a b c b b a
c c 0 c c c
c c 0 c 0 0
c c 0 0 c 0
c c 0 0 0 c
c c c c c 0
c c c c 0 c
c c c 0 c c
c c c 0 0 0
c 0 0 c c 0
c 0 0 c 0 c
c 0 0 0 c c
c 0 0 0 0 0
c 0 c c c c
c 0 c c 0 0
c 0 c 0 c 0
c 0 c 0 0 c
dmin: 1
Weight Enumerator: 1x0 + 1x1 + 10x2 + 10x3 + 5x4 + 21x5 + 16x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_b)5 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)2 (X_b)3 + (X_a)1 (X_b)4 (X_c)1 + (X_a)1 (X_b)4 (X_c)1 + (X_a)1 (X_b)4 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)4 (X_b)1 + (X_a)1 (X_b)4 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)3 (X_b)2 + (X_a)4 (X_b)1 (X_c)1 + (X_a)4 (X_b)1 (X_c)1 + (X_a)4 (X_b)1 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)1 (X_b)4 + (X_a)4 (X_b)1 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3
Dual Codewords:
0 0 0 0 0 0
0 0 a 0 0 0
0 0 b 0 0 0
0 0 c 0 0 0
Is it a nice code?: No
Generator Matrix-385
a a a 0 0 0
b b b 0 0 0
0 c 0 0 0 0
0 0 c 0 0 0
0 0 0 c 0 0
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 0
0 0 0 c c 0
0 0 c 0 0 0
0 0 c 0 c 0
0 0 c c 0 0
0 0 c c c 0
0 c 0 0 0 0
0 c 0 0 c 0
0 c 0 c 0 0
0 c 0 c c 0
0 c c 0 0 0
0 c c 0 c 0
0 c c c 0 0
0 c c c c 0
b b b 0 0 0
b b b 0 c 0
b b b c 0 0
b b b c c 0
b b a 0 0 0
b b a 0 c 0
b b a c 0 0
b b a c c 0
b a b 0 0 0
b a b 0 c 0
b a b c 0 0
b a b c c 0
b a a 0 0 0
b a a 0 c 0
b a a c 0 0
b a a c c 0
a a a 0 0 0
a a a 0 c 0
a a a c 0 0
a a a c c 0
a a b 0 0 0
a a b 0 c 0
a a b c 0 0
a a b c c 0
a b a 0 0 0
a b a 0 c 0
a b a c 0 0
a b a c c 0
a b b 0 0 0
a b b 0 c 0
a b b c 0 0
a b b c c 0
c c c 0 0 0
c c c 0 c 0
c c c c 0 0
c c c c c 0
c c 0 0 0 0
c c 0 0 c 0
c c 0 c 0 0
c c 0 c c 0
c 0 c 0 0 0
c 0 c 0 c 0
c 0 c c 0 0
c 0 c c c 0
c 0 0 0 0 0
c 0 0 0 c 0
c 0 0 c 0 0
c 0 0 c c 0
dmin: 1
Weight Enumerator: 1x0 + 5x1 + 10x2 + 18x3 + 21x4 + 9x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_b)3 + (X_0)2 (X_b)3 (X_c)1 + (X_0)2 (X_b)3 (X_c)1 + (X_0)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)1 (X_b)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)1 (X_b)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)2 (X_b)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)3 (X_c)1 + (X_0)2 (X_a)3 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_0)3 (X_a)2 (X_b)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)2 (X_b)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)1 (X_b)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 a a 0
0 0 0 a a a
0 0 0 a a b
0 0 0 a a c
0 0 0 a b 0
0 0 0 a b a
0 0 0 a b b
0 0 0 a b c
0 0 0 a c 0
0 0 0 a c a
0 0 0 a c b
0 0 0 a c c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 b a 0
0 0 0 b a a
0 0 0 b a b
0 0 0 b a c
0 0 0 b b 0
0 0 0 b b a
0 0 0 b b b
0 0 0 b b c
0 0 0 b c 0
0 0 0 b c a
0 0 0 b c b
0 0 0 b c c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c
0 0 0 c a 0
0 0 0 c a a
0 0 0 c a b
0 0 0 c a c
0 0 0 c b 0
0 0 0 c b a
0 0 0 c b b
0 0 0 c b c
0 0 0 c c 0
0 0 0 c c a
0 0 0 c c b
0 0 0 c c c
Is it a nice code?: Yes
Generator Matrix-386
a a a 0 0 0
b b b 0 0 0
0 c 0 0 0 0
0 0 c 0 0 0
0 0 0 c 0 0
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 0
0 0 0 c c c
0 0 c 0 0 0
0 0 c 0 c c
0 0 c c 0 0
0 0 c c c c
0 c 0 0 0 0
0 c 0 0 c c
0 c 0 c 0 0
0 c 0 c c c
0 c c 0 0 0
0 c c 0 c c
0 c c c 0 0
0 c c c c c
b b b 0 0 0
b b b 0 c c
b b b c 0 0
b b b c c c
b b a 0 0 0
b b a 0 c c
b b a c 0 0
b b a c c c
b a b 0 0 0
b a b 0 c c
b a b c 0 0
b a b c c c
b a a 0 0 0
b a a 0 c c
b a a c 0 0
b a a c c c
a a a 0 0 0
a a a 0 c c
a a a c 0 0
a a a c c c
a a b 0 0 0
a a b 0 c c
a a b c 0 0
a a b c c c
a b a 0 0 0
a b a 0 c c
a b a c 0 0
a b a c c c
a b b 0 0 0
a b b 0 c c
a b b c 0 0
a b b c c c
c c c 0 0 0
c c c 0 c c
c c c c 0 0
c c c c c c
c c 0 0 0 0
c c 0 0 c c
c c 0 c 0 0
c c 0 c c c
c 0 c 0 0 0
c 0 c 0 c c
c 0 c c 0 0
c 0 c c c c
c 0 0 0 0 0
c 0 0 0 c c
c 0 0 c 0 0
c 0 0 c c c
dmin: 1
Weight Enumerator: 1x0 + 4x1 + 7x2 + 16x3 + 15x4 + 12x5 + 9x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)3 (X_b)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)2 (X_b)3 (X_c)1 + (X_b)3 (X_c)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_a)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)2 (X_a)3 (X_c)1 + (X_a)3 (X_c)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_c)6 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 a a 0
0 0 0 a a a
0 0 0 a a b
0 0 0 a a c
0 0 0 a b 0
0 0 0 a b a
0 0 0 a b b
0 0 0 a b c
0 0 0 a c 0
0 0 0 a c a
0 0 0 a c b
0 0 0 a c c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 b a 0
0 0 0 b a a
0 0 0 b a b
0 0 0 b a c
0 0 0 b b 0
0 0 0 b b a
0 0 0 b b b
0 0 0 b b c
0 0 0 b c 0
0 0 0 b c a
0 0 0 b c b
0 0 0 b c c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c
0 0 0 c a 0
0 0 0 c a a
0 0 0 c a b
0 0 0 c a c
0 0 0 c b 0
0 0 0 c b a
0 0 0 c b b
0 0 0 c b c
0 0 0 c c 0
0 0 0 c c a
0 0 0 c c b
0 0 0 c c c
Is it a nice code?: Yes
Generator Matrix-387
a a a 0 0 0
b b b 0 0 0
0 c 0 0 0 0
0 0 c 0 0 0
0 0 0 c 0 c
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 c
0 0 0 c c c
0 0 c 0 0 0
0 0 c 0 c 0
0 0 c c 0 c
0 0 c c c c
0 c 0 0 0 0
0 c 0 0 c 0
0 c 0 c 0 c
0 c 0 c c c
0 c c 0 0 0
0 c c 0 c 0
0 c c c 0 c
0 c c c c c
b b b 0 0 0
b b b 0 c 0
b b b c 0 c
b b b c c c
b b a 0 0 0
b b a 0 c 0
b b a c 0 c
b b a c c c
b a b 0 0 0
b a b 0 c 0
b a b c 0 c
b a b c c c
b a a 0 0 0
b a a 0 c 0
b a a c 0 c
b a a c c c
a a a 0 0 0
a a a 0 c 0
a a a c 0 c
a a a c c c
a a b 0 0 0
a a b 0 c 0
a a b c 0 c
a a b c c c
a b a 0 0 0
a b a 0 c 0
a b a c 0 c
a b a c c c
a b b 0 0 0
a b b 0 c 0
a b b c 0 c
a b b c c c
c c c 0 0 0
c c c 0 c 0
c c c c 0 c
c c c c c c
c c 0 0 0 0
c c 0 0 c 0
c c 0 c 0 c
c c 0 c c c
c 0 c 0 0 0
c 0 c 0 c 0
c 0 c c 0 c
c 0 c c c c
c 0 0 0 0 0
c 0 0 0 c 0
c 0 0 c 0 c
c 0 0 c c c
dmin: 1
Weight Enumerator: 1x0 + 4x1 + 7x2 + 16x3 + 15x4 + 12x5 + 9x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)3 (X_b)3 + (X_0)2 (X_b)3 (X_c)1 + (X_0)1 (X_b)3 (X_c)2 + (X_b)3 (X_c)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_a)3 + (X_0)2 (X_a)3 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_a)3 (X_c)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_c)6 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 a a 0
0 0 0 a a a
0 0 0 a a b
0 0 0 a a c
0 0 0 a b 0
0 0 0 a b a
0 0 0 a b b
0 0 0 a b c
0 0 0 a c 0
0 0 0 a c a
0 0 0 a c b
0 0 0 a c c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 b a 0
0 0 0 b a a
0 0 0 b a b
0 0 0 b a c
0 0 0 b b 0
0 0 0 b b a
0 0 0 b b b
0 0 0 b b c
0 0 0 b c 0
0 0 0 b c a
0 0 0 b c b
0 0 0 b c c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c
0 0 0 c a 0
0 0 0 c a a
0 0 0 c a b
0 0 0 c a c
0 0 0 c b 0
0 0 0 c b a
0 0 0 c b b
0 0 0 c b c
0 0 0 c c 0
0 0 0 c c a
0 0 0 c c b
0 0 0 c c c
Is it a nice code?: Yes
Generator Matrix-388
a a a 0 0 0
b b b 0 0 0
0 c 0 0 0 0
0 0 c 0 0 0
0 0 0 c 0 c
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 c
0 0 0 c c 0
0 0 c 0 0 0
0 0 c 0 c c
0 0 c c 0 c
0 0 c c c 0
0 c 0 0 0 0
0 c 0 0 c c
0 c 0 c 0 c
0 c 0 c c 0
0 c c 0 0 0
0 c c 0 c c
0 c c c 0 c
0 c c c c 0
b b b 0 0 0
b b b 0 c c
b b b c 0 c
b b b c c 0
b b a 0 0 0
b b a 0 c c
b b a c 0 c
b b a c c 0
b a b 0 0 0
b a b 0 c c
b a b c 0 c
b a b c c 0
b a a 0 0 0
b a a 0 c c
b a a c 0 c
b a a c c 0
a a a 0 0 0
a a a 0 c c
a a a c 0 c
a a a c c 0
a a b 0 0 0
a a b 0 c c
a a b c 0 c
a a b c c 0
a b a 0 0 0
a b a 0 c c
a b a c 0 c
a b a c c 0
a b b 0 0 0
a b b 0 c c
a b b c 0 c
a b b c c 0
c c c 0 0 0
c c c 0 c c
c c c c 0 c
c c c c c 0
c c 0 0 0 0
c c 0 0 c c
c c 0 c 0 c
c c 0 c c 0
c 0 c 0 0 0
c 0 c 0 c c
c 0 c c 0 c
c 0 c c c 0
c 0 0 0 0 0
c 0 0 0 c c
c 0 0 c 0 c
c 0 0 c c 0
dmin: 1
Weight Enumerator: 1x0 + 3x1 + 6x2 + 18x3 + 9x4 + 27x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)3 (X_b)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)1 (X_b)3 (X_c)2 + (X_0)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)1 (X_b)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)1 (X_b)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)2 (X_b)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)3 (X_c)2 + (X_0)3 (X_a)2 (X_b)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)2 (X_b)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)1 (X_b)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 a a 0
0 0 0 a a a
0 0 0 a a b
0 0 0 a a c
0 0 0 a b 0
0 0 0 a b a
0 0 0 a b b
0 0 0 a b c
0 0 0 a c 0
0 0 0 a c a
0 0 0 a c b
0 0 0 a c c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 b a 0
0 0 0 b a a
0 0 0 b a b
0 0 0 b a c
0 0 0 b b 0
0 0 0 b b a
0 0 0 b b b
0 0 0 b b c
0 0 0 b c 0
0 0 0 b c a
0 0 0 b c b
0 0 0 b c c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c
0 0 0 c a 0
0 0 0 c a a
0 0 0 c a b
0 0 0 c a c
0 0 0 c b 0
0 0 0 c b a
0 0 0 c b b
0 0 0 c b c
0 0 0 c c 0
0 0 0 c c a
0 0 0 c c b
0 0 0 c c c
Is it a nice code?: Yes
Generator Matrix-389
a a a 0 0 0
b b b 0 0 0
0 c 0 0 0 0
0 0 c 0 0 c
0 0 0 c 0 0
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 0
0 0 0 c c 0
0 0 c 0 0 c
0 0 c 0 c c
0 0 c c 0 c
0 0 c c c c
0 c 0 0 0 0
0 c 0 0 c 0
0 c 0 c 0 0
0 c 0 c c 0
0 c c 0 0 c
0 c c 0 c c
0 c c c 0 c
0 c c c c c
b b b 0 0 0
b b b 0 c 0
b b b c 0 0
b b b c c 0
b b a 0 0 c
b b a 0 c c
b b a c 0 c
b b a c c c
b a b 0 0 0
b a b 0 c 0
b a b c 0 0
b a b c c 0
b a a 0 0 c
b a a 0 c c
b a a c 0 c
b a a c c c
a a a 0 0 0
a a a 0 c 0
a a a c 0 0
a a a c c 0
a a b 0 0 c
a a b 0 c c
a a b c 0 c
a a b c c c
a b a 0 0 0
a b a 0 c 0
a b a c 0 0
a b a c c 0
a b b 0 0 c
a b b 0 c c
a b b c 0 c
a b b c c c
c c c 0 0 0
c c c 0 c 0
c c c c 0 0
c c c c c 0
c c 0 0 0 c
c c 0 0 c c
c c 0 c 0 c
c c 0 c c c
c 0 c 0 0 0
c 0 c 0 c 0
c 0 c c 0 0
c 0 c c c 0
c 0 0 0 0 c
c 0 0 0 c c
c 0 0 c 0 c
c 0 0 c c c
dmin: 1
Weight Enumerator: 1x0 + 3x1 + 6x2 + 14x3 + 21x4 + 15x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)3 (X_b)3 + (X_0)2 (X_b)3 (X_c)1 + (X_0)2 (X_b)3 (X_c)1 + (X_0)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_a)3 + (X_0)2 (X_a)3 (X_c)1 + (X_0)2 (X_a)3 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 a a 0
0 0 0 a a a
0 0 0 a a b
0 0 0 a a c
0 0 0 a b 0
0 0 0 a b a
0 0 0 a b b
0 0 0 a b c
0 0 0 a c 0
0 0 0 a c a
0 0 0 a c b
0 0 0 a c c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 b a 0
0 0 0 b a a
0 0 0 b a b
0 0 0 b a c
0 0 0 b b 0
0 0 0 b b a
0 0 0 b b b
0 0 0 b b c
0 0 0 b c 0
0 0 0 b c a
0 0 0 b c b
0 0 0 b c c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c
0 0 0 c a 0
0 0 0 c a a
0 0 0 c a b
0 0 0 c a c
0 0 0 c b 0
0 0 0 c b a
0 0 0 c b b
0 0 0 c b c
0 0 0 c c 0
0 0 0 c c a
0 0 0 c c b
0 0 0 c c c
Is it a nice code?: Yes
Generator Matrix-390
a a a 0 0 0
b b b 0 0 0
0 c 0 0 0 0
0 0 c 0 0 c
0 0 0 c 0 0
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 0
0 0 0 c c c
0 0 c 0 0 c
0 0 c 0 c 0
0 0 c c 0 c
0 0 c c c 0
0 c 0 0 0 0
0 c 0 0 c c
0 c 0 c 0 0
0 c 0 c c c
0 c c 0 0 c
0 c c 0 c 0
0 c c c 0 c
0 c c c c 0
b b b 0 0 0
b b b 0 c c
b b b c 0 0
b b b c c c
b b a 0 0 c
b b a 0 c 0
b b a c 0 c
b b a c c 0
b a b 0 0 0
b a b 0 c c
b a b c 0 0
b a b c c c
b a a 0 0 c
b a a 0 c 0
b a a c 0 c
b a a c c 0
a a a 0 0 0
a a a 0 c c
a a a c 0 0
a a a c c c
a a b 0 0 c
a a b 0 c 0
a a b c 0 c
a a b c c 0
a b a 0 0 0
a b a 0 c c
a b a c 0 0
a b a c c c
a b b 0 0 c
a b b 0 c 0
a b b c 0 c
a b b c c 0
c c c 0 0 0
c c c 0 c c
c c c c 0 0
c c c c c c
c c 0 0 0 c
c c 0 0 c 0
c c 0 c 0 c
c c 0 c c 0
c 0 c 0 0 0
c 0 c 0 c c
c 0 c c 0 0
c 0 c c c c
c 0 0 0 0 c
c 0 0 0 c 0
c 0 0 c 0 c
c 0 0 c c 0
dmin: 1
Weight Enumerator: 1x0 + 2x1 + 7x2 + 16x3 + 19x4 + 14x5 + 5x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)3 (X_b)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)2 (X_b)3 (X_c)1 + (X_b)3 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)1 (X_b)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)2 (X_a)3 (X_c)1 + (X_a)3 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)2 (X_b)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_c)6 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 a a 0
0 0 0 a a a
0 0 0 a a b
0 0 0 a a c
0 0 0 a b 0
0 0 0 a b a
0 0 0 a b b
0 0 0 a b c
0 0 0 a c 0
0 0 0 a c a
0 0 0 a c b
0 0 0 a c c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 b a 0
0 0 0 b a a
0 0 0 b a b
0 0 0 b a c
0 0 0 b b 0
0 0 0 b b a
0 0 0 b b b
0 0 0 b b c
0 0 0 b c 0
0 0 0 b c a
0 0 0 b c b
0 0 0 b c c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c
0 0 0 c a 0
0 0 0 c a a
0 0 0 c a b
0 0 0 c a c
0 0 0 c b 0
0 0 0 c b a
0 0 0 c b b
0 0 0 c b c
0 0 0 c c 0
0 0 0 c c a
0 0 0 c c b
0 0 0 c c c
Is it a nice code?: Yes
Generator Matrix-391
a a a 0 0 0
b b b 0 0 0
0 c 0 0 0 0
0 0 c 0 0 c
0 0 0 c 0 c
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 c
0 0 0 c c c
0 0 c 0 0 c
0 0 c 0 c c
0 0 c c 0 0
0 0 c c c 0
0 c 0 0 0 0
0 c 0 0 c 0
0 c 0 c 0 c
0 c 0 c c c
0 c c 0 0 c
0 c c 0 c c
0 c c c 0 0
0 c c c c 0
b b b 0 0 0
b b b 0 c 0
b b b c 0 c
b b b c c c
b b a 0 0 c
b b a 0 c c
b b a c 0 0
b b a c c 0
b a b 0 0 0
b a b 0 c 0
b a b c 0 c
b a b c c c
b a a 0 0 c
b a a 0 c c
b a a c 0 0
b a a c c 0
a a a 0 0 0
a a a 0 c 0
a a a c 0 c
a a a c c c
a a b 0 0 c
a a b 0 c c
a a b c 0 0
a a b c c 0
a b a 0 0 0
a b a 0 c 0
a b a c 0 c
a b a c c c
a b b 0 0 c
a b b 0 c c
a b b c 0 0
a b b c c 0
c c c 0 0 0
c c c 0 c 0
c c c c 0 c
c c c c c c
c c 0 0 0 c
c c 0 0 c c
c c 0 c 0 0
c c 0 c c 0
c 0 c 0 0 0
c 0 c 0 c 0
c 0 c c 0 c
c 0 c c c c
c 0 0 0 0 c
c 0 0 0 c c
c 0 0 c 0 0
c 0 0 c c 0
dmin: 1
Weight Enumerator: 1x0 + 2x1 + 7x2 + 16x3 + 19x4 + 14x5 + 5x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_b)3 + (X_0)2 (X_b)3 (X_c)1 + (X_0)1 (X_b)3 (X_c)2 + (X_b)3 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)1 (X_b)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)3 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_a)3 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)2 (X_b)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_c)6 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 a a 0
0 0 0 a a a
0 0 0 a a b
0 0 0 a a c
0 0 0 a b 0
0 0 0 a b a
0 0 0 a b b
0 0 0 a b c
0 0 0 a c 0
0 0 0 a c a
0 0 0 a c b
0 0 0 a c c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 b a 0
0 0 0 b a a
0 0 0 b a b
0 0 0 b a c
0 0 0 b b 0
0 0 0 b b a
0 0 0 b b b
0 0 0 b b c
0 0 0 b c 0
0 0 0 b c a
0 0 0 b c b
0 0 0 b c c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c
0 0 0 c a 0
0 0 0 c a a
0 0 0 c a b
0 0 0 c a c
0 0 0 c b 0
0 0 0 c b a
0 0 0 c b b
0 0 0 c b c
0 0 0 c c 0
0 0 0 c c a
0 0 0 c c b
0 0 0 c c c
Is it a nice code?: Yes
Generator Matrix-392
a a a 0 0 0
b b b 0 0 0
0 c 0 0 0 0
0 0 c 0 0 c
0 0 0 c 0 c
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 c
0 0 0 c c 0
0 0 c 0 0 c
0 0 c 0 c 0
0 0 c c 0 0
0 0 c c c c
0 c 0 0 0 0
0 c 0 0 c c
0 c 0 c 0 c
0 c 0 c c 0
0 c c 0 0 c
0 c c 0 c 0
0 c c c 0 0
0 c c c c c
b b b 0 0 0
b b b 0 c c
b b b c 0 c
b b b c c 0
b b a 0 0 c
b b a 0 c 0
b b a c 0 0
b b a c c c
b a b 0 0 0
b a b 0 c c
b a b c 0 c
b a b c c 0
b a a 0 0 c
b a a 0 c 0
b a a c 0 0
b a a c c c
a a a 0 0 0
a a a 0 c c
a a a c 0 c
a a a c c 0
a a b 0 0 c
a a b 0 c 0
a a b c 0 0
a a b c c c
a b a 0 0 0
a b a 0 c c
a b a c 0 c
a b a c c 0
a b b 0 0 c
a b b 0 c 0
a b b c 0 0
a b b c c c
c c c 0 0 0
c c c 0 c c
c c c c 0 c
c c c c c 0
c c 0 0 0 c
c c 0 0 c 0
c c 0 c 0 0
c c 0 c c c
c 0 c 0 0 0
c 0 c 0 c c
c 0 c c 0 c
c 0 c c c 0
c 0 0 0 0 c
c 0 0 0 c 0
c 0 0 c 0 0
c 0 0 c c c
dmin: 1
Weight Enumerator: 1x0 + 1x1 + 10x2 + 14x3 + 17x4 + 17x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)3 (X_b)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)1 (X_b)3 (X_c)2 + (X_0)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_a)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)3 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 a a 0
0 0 0 a a a
0 0 0 a a b
0 0 0 a a c
0 0 0 a b 0
0 0 0 a b a
0 0 0 a b b
0 0 0 a b c
0 0 0 a c 0
0 0 0 a c a
0 0 0 a c b
0 0 0 a c c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 b a 0
0 0 0 b a a
0 0 0 b a b
0 0 0 b a c
0 0 0 b b 0
0 0 0 b b a
0 0 0 b b b
0 0 0 b b c
0 0 0 b c 0
0 0 0 b c a
0 0 0 b c b
0 0 0 b c c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c
0 0 0 c a 0
0 0 0 c a a
0 0 0 c a b
0 0 0 c a c
0 0 0 c b 0
0 0 0 c b a
0 0 0 c b b
0 0 0 c b c
0 0 0 c c 0
0 0 0 c c a
0 0 0 c c b
0 0 0 c c c
Is it a nice code?: Yes
Generator Matrix-393
a a a 0 0 0
b b b 0 0 0
0 c 0 0 0 c
0 0 c 0 0 0
0 0 0 c 0 0
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 0
0 0 0 c c 0
0 0 c 0 0 0
0 0 c 0 c 0
0 0 c c 0 0
0 0 c c c 0
0 c 0 0 0 c
0 c 0 0 c c
0 c 0 c 0 c
0 c 0 c c c
0 c c 0 0 c
0 c c 0 c c
0 c c c 0 c
0 c c c c c
b b b 0 0 0
b b b 0 c 0
b b b c 0 0
b b b c c 0
b b a 0 0 0
b b a 0 c 0
b b a c 0 0
b b a c c 0
b a b 0 0 c
b a b 0 c c
b a b c 0 c
b a b c c c
b a a 0 0 c
b a a 0 c c
b a a c 0 c
b a a c c c
a a a 0 0 0
a a a 0 c 0
a a a c 0 0
a a a c c 0
a a b 0 0 0
a a b 0 c 0
a a b c 0 0
a a b c c 0
a b a 0 0 c
a b a 0 c c
a b a c 0 c
a b a c c c
a b b 0 0 c
a b b 0 c c
a b b c 0 c
a b b c c c
c c c 0 0 0
c c c 0 c 0
c c c c 0 0
c c c c c 0
c c 0 0 0 0
c c 0 0 c 0
c c 0 c 0 0
c c 0 c c 0
c 0 c 0 0 c
c 0 c 0 c c
c 0 c c 0 c
c 0 c c c c
c 0 0 0 0 c
c 0 0 0 c c
c 0 0 c 0 c
c 0 0 c c c
dmin: 1
Weight Enumerator: 1x0 + 3x1 + 6x2 + 14x3 + 21x4 + 15x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)3 (X_b)3 + (X_0)2 (X_b)3 (X_c)1 + (X_0)2 (X_b)3 (X_c)1 + (X_0)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)1 (X_b)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_a)3 + (X_0)2 (X_a)3 (X_c)1 + (X_0)2 (X_a)3 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_0)3 (X_a)2 (X_b)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 a a 0
0 0 0 a a a
0 0 0 a a b
0 0 0 a a c
0 0 0 a b 0
0 0 0 a b a
0 0 0 a b b
0 0 0 a b c
0 0 0 a c 0
0 0 0 a c a
0 0 0 a c b
0 0 0 a c c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 b a 0
0 0 0 b a a
0 0 0 b a b
0 0 0 b a c
0 0 0 b b 0
0 0 0 b b a
0 0 0 b b b
0 0 0 b b c
0 0 0 b c 0
0 0 0 b c a
0 0 0 b c b
0 0 0 b c c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c
0 0 0 c a 0
0 0 0 c a a
0 0 0 c a b
0 0 0 c a c
0 0 0 c b 0
0 0 0 c b a
0 0 0 c b b
0 0 0 c b c
0 0 0 c c 0
0 0 0 c c a
0 0 0 c c b
0 0 0 c c c
Is it a nice code?: Yes
Generator Matrix-394
a a a 0 0 0
b b b 0 0 0
0 c 0 0 0 c
0 0 c 0 0 0
0 0 0 c 0 0
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 0
0 0 0 c c c
0 0 c 0 0 0
0 0 c 0 c c
0 0 c c 0 0
0 0 c c c c
0 c 0 0 0 c
0 c 0 0 c 0
0 c 0 c 0 c
0 c 0 c c 0
0 c c 0 0 c
0 c c 0 c 0
0 c c c 0 c
0 c c c c 0
b b b 0 0 0
b b b 0 c c
b b b c 0 0
b b b c c c
b b a 0 0 0
b b a 0 c c
b b a c 0 0
b b a c c c
b a b 0 0 c
b a b 0 c 0
b a b c 0 c
b a b c c 0
b a a 0 0 c
b a a 0 c 0
b a a c 0 c
b a a c c 0
a a a 0 0 0
a a a 0 c c
a a a c 0 0
a a a c c c
a a b 0 0 0
a a b 0 c c
a a b c 0 0
a a b c c c
a b a 0 0 c
a b a 0 c 0
a b a c 0 c
a b a c c 0
a b b 0 0 c
a b b 0 c 0
a b b c 0 c
a b b c c 0
c c c 0 0 0
c c c 0 c c
c c c c 0 0
c c c c c c
c c 0 0 0 0
c c 0 0 c c
c c 0 c 0 0
c c 0 c c c
c 0 c 0 0 c
c 0 c 0 c 0
c 0 c c 0 c
c 0 c c c 0
c 0 0 0 0 c
c 0 0 0 c 0
c 0 0 c 0 c
c 0 0 c c 0
dmin: 1
Weight Enumerator: 1x0 + 2x1 + 7x2 + 16x3 + 19x4 + 14x5 + 5x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)3 (X_b)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)2 (X_b)3 (X_c)1 + (X_b)3 (X_c)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)2 (X_a)3 (X_c)1 + (X_a)3 (X_c)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_c)6 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 a a 0
0 0 0 a a a
0 0 0 a a b
0 0 0 a a c
0 0 0 a b 0
0 0 0 a b a
0 0 0 a b b
0 0 0 a b c
0 0 0 a c 0
0 0 0 a c a
0 0 0 a c b
0 0 0 a c c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 b a 0
0 0 0 b a a
0 0 0 b a b
0 0 0 b a c
0 0 0 b b 0
0 0 0 b b a
0 0 0 b b b
0 0 0 b b c
0 0 0 b c 0
0 0 0 b c a
0 0 0 b c b
0 0 0 b c c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c
0 0 0 c a 0
0 0 0 c a a
0 0 0 c a b
0 0 0 c a c
0 0 0 c b 0
0 0 0 c b a
0 0 0 c b b
0 0 0 c b c
0 0 0 c c 0
0 0 0 c c a
0 0 0 c c b
0 0 0 c c c
Is it a nice code?: Yes
Generator Matrix-395
a a a 0 0 0
b b b 0 0 0
0 c 0 0 0 c
0 0 c 0 0 0
0 0 0 c 0 c
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 c
0 0 0 c c c
0 0 c 0 0 0
0 0 c 0 c 0
0 0 c c 0 c
0 0 c c c c
0 c 0 0 0 c
0 c 0 0 c c
0 c 0 c 0 0
0 c 0 c c 0
0 c c 0 0 c
0 c c 0 c c
0 c c c 0 0
0 c c c c 0
b b b 0 0 0
b b b 0 c 0
b b b c 0 c
b b b c c c
b b a 0 0 0
b b a 0 c 0
b b a c 0 c
b b a c c c
b a b 0 0 c
b a b 0 c c
b a b c 0 0
b a b c c 0
b a a 0 0 c
b a a 0 c c
b a a c 0 0
b a a c c 0
a a a 0 0 0
a a a 0 c 0
a a a c 0 c
a a a c c c
a a b 0 0 0
a a b 0 c 0
a a b c 0 c
a a b c c c
a b a 0 0 c
a b a 0 c c
a b a c 0 0
a b a c c 0
a b b 0 0 c
a b b 0 c c
a b b c 0 0
a b b c c 0
c c c 0 0 0
c c c 0 c 0
c c c c 0 c
c c c c c c
c c 0 0 0 0
c c 0 0 c 0
c c 0 c 0 c
c c 0 c c c
c 0 c 0 0 c
c 0 c 0 c c
c 0 c c 0 0
c 0 c c c 0
c 0 0 0 0 c
c 0 0 0 c c
c 0 0 c 0 0
c 0 0 c c 0
dmin: 1
Weight Enumerator: 1x0 + 2x1 + 7x2 + 16x3 + 19x4 + 14x5 + 5x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_b)3 + (X_0)2 (X_b)3 (X_c)1 + (X_0)1 (X_b)3 (X_c)2 + (X_b)3 (X_c)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)3 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_a)3 (X_c)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_c)6 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 a a 0
0 0 0 a a a
0 0 0 a a b
0 0 0 a a c
0 0 0 a b 0
0 0 0 a b a
0 0 0 a b b
0 0 0 a b c
0 0 0 a c 0
0 0 0 a c a
0 0 0 a c b
0 0 0 a c c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 b a 0
0 0 0 b a a
0 0 0 b a b
0 0 0 b a c
0 0 0 b b 0
0 0 0 b b a
0 0 0 b b b
0 0 0 b b c
0 0 0 b c 0
0 0 0 b c a
0 0 0 b c b
0 0 0 b c c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c
0 0 0 c a 0
0 0 0 c a a
0 0 0 c a b
0 0 0 c a c
0 0 0 c b 0
0 0 0 c b a
0 0 0 c b b
0 0 0 c b c
0 0 0 c c 0
0 0 0 c c a
0 0 0 c c b
0 0 0 c c c
Is it a nice code?: Yes
Generator Matrix-396
a a a 0 0 0
b b b 0 0 0
0 c 0 0 0 c
0 0 c 0 0 0
0 0 0 c 0 c
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 c
0 0 0 c c 0
0 0 c 0 0 0
0 0 c 0 c c
0 0 c c 0 c
0 0 c c c 0
0 c 0 0 0 c
0 c 0 0 c 0
0 c 0 c 0 0
0 c 0 c c c
0 c c 0 0 c
0 c c 0 c 0
0 c c c 0 0
0 c c c c c
b b b 0 0 0
b b b 0 c c
b b b c 0 c
b b b c c 0
b b a 0 0 0
b b a 0 c c
b b a c 0 c
b b a c c 0
b a b 0 0 c
b a b 0 c 0
b a b c 0 0
b a b c c c
b a a 0 0 c
b a a 0 c 0
b a a c 0 0
b a a c c c
a a a 0 0 0
a a a 0 c c
a a a c 0 c
a a a c c 0
a a b 0 0 0
a a b 0 c c
a a b c 0 c
a a b c c 0
a b a 0 0 c
a b a 0 c 0
a b a c 0 0
a b a c c c
a b b 0 0 c
a b b 0 c 0
a b b c 0 0
a b b c c c
c c c 0 0 0
c c c 0 c c
c c c c 0 c
c c c c c 0
c c 0 0 0 0
c c 0 0 c c
c c 0 c 0 c
c c 0 c c 0
c 0 c 0 0 c
c 0 c 0 c 0
c 0 c c 0 0
c 0 c c c c
c 0 0 0 0 c
c 0 0 0 c 0
c 0 0 c 0 0
c 0 0 c c c
dmin: 1
Weight Enumerator: 1x0 + 1x1 + 10x2 + 14x3 + 17x4 + 17x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)3 (X_b)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)1 (X_b)3 (X_c)2 + (X_0)1 (X_b)3 (X_c)2 + (X_0)3 (X_a)1 (X_b)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_a)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)3 (X_c)2 + (X_0)3 (X_a)2 (X_b)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 a a 0
0 0 0 a a a
0 0 0 a a b
0 0 0 a a c
0 0 0 a b 0
0 0 0 a b a
0 0 0 a b b
0 0 0 a b c
0 0 0 a c 0
0 0 0 a c a
0 0 0 a c b
0 0 0 a c c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 b a 0
0 0 0 b a a
0 0 0 b a b
0 0 0 b a c
0 0 0 b b 0
0 0 0 b b a
0 0 0 b b b
0 0 0 b b c
0 0 0 b c 0
0 0 0 b c a
0 0 0 b c b
0 0 0 b c c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c
0 0 0 c a 0
0 0 0 c a a
0 0 0 c a b
0 0 0 c a c
0 0 0 c b 0
0 0 0 c b a
0 0 0 c b b
0 0 0 c b c
0 0 0 c c 0
0 0 0 c c a
0 0 0 c c b
0 0 0 c c c
Is it a nice code?: Yes
Generator Matrix-397
a a a 0 0 0
b b b 0 0 0
0 c 0 0 0 c
0 0 c 0 0 c
0 0 0 c 0 0
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 0
0 0 0 c c 0
0 0 c 0 0 c
0 0 c 0 c c
0 0 c c 0 c
0 0 c c c c
0 c 0 0 0 c
0 c 0 0 c c
0 c 0 c 0 c
0 c 0 c c c
0 c c 0 0 0
0 c c 0 c 0
0 c c c 0 0
0 c c c c 0
b b b 0 0 0
b b b 0 c 0
b b b c 0 0
b b b c c 0
b b a 0 0 c
b b a 0 c c
b b a c 0 c
b b a c c c
b a b 0 0 c
b a b 0 c c
b a b c 0 c
b a b c c c
b a a 0 0 0
b a a 0 c 0
b a a c 0 0
b a a c c 0
a a a 0 0 0
a a a 0 c 0
a a a c 0 0
a a a c c 0
a a b 0 0 c
a a b 0 c c
a a b c 0 c
a a b c c c
a b a 0 0 c
a b a 0 c c
a b a c 0 c
a b a c c c
a b b 0 0 0
a b b 0 c 0
a b b c 0 0
a b b c c 0
c c c 0 0 0
c c c 0 c 0
c c c c 0 0
c c c c c 0
c c 0 0 0 c
c c 0 0 c c
c c 0 c 0 c
c c 0 c c c
c 0 c 0 0 c
c 0 c 0 c c
c 0 c c 0 c
c 0 c c c c
c 0 0 0 0 0
c 0 0 0 c 0
c 0 0 c 0 0
c 0 0 c c 0
dmin: 1
Weight Enumerator: 1x0 + 3x1 + 6x2 + 14x3 + 21x4 + 15x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_b)3 + (X_0)2 (X_b)3 (X_c)1 + (X_0)2 (X_b)3 (X_c)1 + (X_0)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)3 + (X_0)2 (X_a)3 (X_c)1 + (X_0)2 (X_a)3 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 a a 0
0 0 0 a a a
0 0 0 a a b
0 0 0 a a c
0 0 0 a b 0
0 0 0 a b a
0 0 0 a b b
0 0 0 a b c
0 0 0 a c 0
0 0 0 a c a
0 0 0 a c b
0 0 0 a c c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 b a 0
0 0 0 b a a
0 0 0 b a b
0 0 0 b a c
0 0 0 b b 0
0 0 0 b b a
0 0 0 b b b
0 0 0 b b c
0 0 0 b c 0
0 0 0 b c a
0 0 0 b c b
0 0 0 b c c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c
0 0 0 c a 0
0 0 0 c a a
0 0 0 c a b
0 0 0 c a c
0 0 0 c b 0
0 0 0 c b a
0 0 0 c b b
0 0 0 c b c
0 0 0 c c 0
0 0 0 c c a
0 0 0 c c b
0 0 0 c c c
Is it a nice code?: Yes
Generator Matrix-398
a a a 0 0 0
b b b 0 0 0
0 c 0 0 0 c
0 0 c 0 0 c
0 0 0 c 0 0
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 0
0 0 0 c c c
0 0 c 0 0 c
0 0 c 0 c 0
0 0 c c 0 c
0 0 c c c 0
0 c 0 0 0 c
0 c 0 0 c 0
0 c 0 c 0 c
0 c 0 c c 0
0 c c 0 0 0
0 c c 0 c c
0 c c c 0 0
0 c c c c c
b b b 0 0 0
b b b 0 c c
b b b c 0 0
b b b c c c
b b a 0 0 c
b b a 0 c 0
b b a c 0 c
b b a c c 0
b a b 0 0 c
b a b 0 c 0
b a b c 0 c
b a b c c 0
b a a 0 0 0
b a a 0 c c
b a a c 0 0
b a a c c c
a a a 0 0 0
a a a 0 c c
a a a c 0 0
a a a c c c
a a b 0 0 c
a a b 0 c 0
a a b c 0 c
a a b c c 0
a b a 0 0 c
a b a 0 c 0
a b a c 0 c
a b a c c 0
a b b 0 0 0
a b b 0 c c
a b b c 0 0
a b b c c c
c c c 0 0 0
c c c 0 c c
c c c c 0 0
c c c c c c
c c 0 0 0 c
c c 0 0 c 0
c c 0 c 0 c
c c 0 c c 0
c 0 c 0 0 c
c 0 c 0 c 0
c 0 c c 0 c
c 0 c c c 0
c 0 0 0 0 0
c 0 0 0 c c
c 0 0 c 0 0
c 0 0 c c c
dmin: 1
Weight Enumerator: 1x0 + 2x1 + 7x2 + 16x3 + 19x4 + 14x5 + 5x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)3 (X_b)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)2 (X_b)3 (X_c)1 + (X_b)3 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)2 (X_b)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_a)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)2 (X_a)3 (X_c)1 + (X_a)3 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)1 (X_b)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_c)6 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 a a 0
0 0 0 a a a
0 0 0 a a b
0 0 0 a a c
0 0 0 a b 0
0 0 0 a b a
0 0 0 a b b
0 0 0 a b c
0 0 0 a c 0
0 0 0 a c a
0 0 0 a c b
0 0 0 a c c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 b a 0
0 0 0 b a a
0 0 0 b a b
0 0 0 b a c
0 0 0 b b 0
0 0 0 b b a
0 0 0 b b b
0 0 0 b b c
0 0 0 b c 0
0 0 0 b c a
0 0 0 b c b
0 0 0 b c c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c
0 0 0 c a 0
0 0 0 c a a
0 0 0 c a b
0 0 0 c a c
0 0 0 c b 0
0 0 0 c b a
0 0 0 c b b
0 0 0 c b c
0 0 0 c c 0
0 0 0 c c a
0 0 0 c c b
0 0 0 c c c
Is it a nice code?: Yes
Generator Matrix-399
a a a 0 0 0
b b b 0 0 0
0 c 0 0 0 c
0 0 c 0 0 c
0 0 0 c 0 c
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 c
0 0 0 c c c
0 0 c 0 0 c
0 0 c 0 c c
0 0 c c 0 0
0 0 c c c 0
0 c 0 0 0 c
0 c 0 0 c c
0 c 0 c 0 0
0 c 0 c c 0
0 c c 0 0 0
0 c c 0 c 0
0 c c c 0 c
0 c c c c c
b b b 0 0 0
b b b 0 c 0
b b b c 0 c
b b b c c c
b b a 0 0 c
b b a 0 c c
b b a c 0 0
b b a c c 0
b a b 0 0 c
b a b 0 c c
b a b c 0 0
b a b c c 0
b a a 0 0 0
b a a 0 c 0
b a a c 0 c
b a a c c c
a a a 0 0 0
a a a 0 c 0
a a a c 0 c
a a a c c c
a a b 0 0 c
a a b 0 c c
a a b c 0 0
a a b c c 0
a b a 0 0 c
a b a 0 c c
a b a c 0 0
a b a c c 0
a b b 0 0 0
a b b 0 c 0
a b b c 0 c
a b b c c c
c c c 0 0 0
c c c 0 c 0
c c c c 0 c
c c c c c c
c c 0 0 0 c
c c 0 0 c c
c c 0 c 0 0
c c 0 c c 0
c 0 c 0 0 c
c 0 c 0 c c
c 0 c c 0 0
c 0 c c c 0
c 0 0 0 0 0
c 0 0 0 c 0
c 0 0 c 0 c
c 0 0 c c c
dmin: 1
Weight Enumerator: 1x0 + 2x1 + 7x2 + 16x3 + 19x4 + 14x5 + 5x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)3 (X_b)3 + (X_0)2 (X_b)3 (X_c)1 + (X_0)1 (X_b)3 (X_c)2 + (X_b)3 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_a)2 (X_b)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_a)3 + (X_0)2 (X_a)3 (X_c)1 + (X_0)1 (X_a)3 (X_c)2 + (X_a)3 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)1 (X_b)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_c)6 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 a a 0
0 0 0 a a a
0 0 0 a a b
0 0 0 a a c
0 0 0 a b 0
0 0 0 a b a
0 0 0 a b b
0 0 0 a b c
0 0 0 a c 0
0 0 0 a c a
0 0 0 a c b
0 0 0 a c c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 b a 0
0 0 0 b a a
0 0 0 b a b
0 0 0 b a c
0 0 0 b b 0
0 0 0 b b a
0 0 0 b b b
0 0 0 b b c
0 0 0 b c 0
0 0 0 b c a
0 0 0 b c b
0 0 0 b c c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c
0 0 0 c a 0
0 0 0 c a a
0 0 0 c a b
0 0 0 c a c
0 0 0 c b 0
0 0 0 c b a
0 0 0 c b b
0 0 0 c b c
0 0 0 c c 0
0 0 0 c c a
0 0 0 c c b
0 0 0 c c c
Is it a nice code?: Yes
Generator Matrix-400
a a a 0 0 0
b b b 0 0 0
0 c 0 0 0 c
0 0 c 0 0 c
0 0 0 c 0 c
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 c
0 0 0 c c 0
0 0 c 0 0 c
0 0 c 0 c 0
0 0 c c 0 0
0 0 c c c c
0 c 0 0 0 c
0 c 0 0 c 0
0 c 0 c 0 0
0 c 0 c c c
0 c c 0 0 0
0 c c 0 c c
0 c c c 0 c
0 c c c c 0
b b b 0 0 0
b b b 0 c c
b b b c 0 c
b b b c c 0
b b a 0 0 c
b b a 0 c 0
b b a c 0 0
b b a c c c
b a b 0 0 c
b a b 0 c 0
b a b c 0 0
b a b c c c
b a a 0 0 0
b a a 0 c c
b a a c 0 c
b a a c c 0
a a a 0 0 0
a a a 0 c c
a a a c 0 c
a a a c c 0
a a b 0 0 c
a a b 0 c 0
a a b c 0 0
a a b c c c
a b a 0 0 c
a b a 0 c 0
a b a c 0 0
a b a c c c
a b b 0 0 0
a b b 0 c c
a b b c 0 c
a b b c c 0
c c c 0 0 0
c c c 0 c c
c c c c 0 c
c c c c c 0
c c 0 0 0 c
c c 0 0 c 0
c c 0 c 0 0
c c 0 c c c
c 0 c 0 0 c
c 0 c 0 c 0
c 0 c c 0 0
c 0 c c c c
c 0 0 0 0 0
c 0 0 0 c c
c 0 0 c 0 c
c 0 0 c c 0
dmin: 1
Weight Enumerator: 1x0 + 1x1 + 10x2 + 14x3 + 17x4 + 17x5 + 4x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)3 (X_b)3 + (X_0)1 (X_b)3 (X_c)2 + (X_0)1 (X_b)3 (X_c)2 + (X_0)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)2 (X_c)1 + (X_a)1 (X_b)2 (X_c)3 + (X_0)3 (X_a)2 (X_b)1 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)1 (X_c)2 + (X_0)3 (X_a)3 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)3 (X_c)2 + (X_0)1 (X_a)3 (X_c)2 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)1 (X_c)1 + (X_a)2 (X_b)1 (X_c)3 + (X_0)3 (X_a)1 (X_b)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)2 (X_c)2 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 a a 0
0 0 0 a a a
0 0 0 a a b
0 0 0 a a c
0 0 0 a b 0
0 0 0 a b a
0 0 0 a b b
0 0 0 a b c
0 0 0 a c 0
0 0 0 a c a
0 0 0 a c b
0 0 0 a c c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 b a 0
0 0 0 b a a
0 0 0 b a b
0 0 0 b a c
0 0 0 b b 0
0 0 0 b b a
0 0 0 b b b
0 0 0 b b c
0 0 0 b c 0
0 0 0 b c a
0 0 0 b c b
0 0 0 b c c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c
0 0 0 c a 0
0 0 0 c a a
0 0 0 c a b
0 0 0 c a c
0 0 0 c b 0
0 0 0 c b a
0 0 0 c b b
0 0 0 c b c
0 0 0 c c 0
0 0 0 c c a
0 0 0 c c b
0 0 0 c c c
Is it a nice code?: Yes
Generator Matrix-401
a a a 0 0 a
b b b 0 0 b
0 c 0 0 0 0
0 0 c 0 0 0
0 0 0 c 0 0
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 0
0 0 0 c c 0
0 0 c 0 0 0
0 0 c 0 c 0
0 0 c c 0 0
0 0 c c c 0
0 c 0 0 0 0
0 c 0 0 c 0
0 c 0 c 0 0
0 c 0 c c 0
0 c c 0 0 0
0 c c 0 c 0
0 c c c 0 0
0 c c c c 0
b b b 0 0 b
b b b 0 c b
b b b c 0 b
b b b c c b
b b a 0 0 b
b b a 0 c b
b b a c 0 b
b b a c c b
b a b 0 0 b
b a b 0 c b
b a b c 0 b
b a b c c b
b a a 0 0 b
b a a 0 c b
b a a c 0 b
b a a c c b
a a a 0 0 a
a a a 0 c a
a a a c 0 a
a a a c c a
a a b 0 0 a
a a b 0 c a
a a b c 0 a
a a b c c a
a b a 0 0 a
a b a 0 c a
a b a c 0 a
a b a c c a
a b b 0 0 a
a b b 0 c a
a b b c 0 a
a b b c c a
c c c 0 0 c
c c c 0 c c
c c c c 0 c
c c c c c c
c c 0 0 0 c
c c 0 0 c c
c c 0 c 0 c
c c 0 c c c
c 0 c 0 0 c
c 0 c 0 c c
c 0 c c 0 c
c 0 c c c c
c 0 0 0 0 c
c 0 0 0 c c
c 0 0 c 0 c
c 0 0 c c c
dmin: 1
Weight Enumerator: 1x0 + 4x1 + 7x2 + 8x3 + 15x4 + 20x5 + 9x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_b)4 + (X_0)1 (X_b)4 (X_c)1 + (X_0)1 (X_b)4 (X_c)1 + (X_b)4 (X_c)2 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)4 (X_c)1 + (X_0)1 (X_a)4 (X_c)1 + (X_a)4 (X_c)2 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5 + (X_c)6 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 0 a 0 0
0 0 0 a a 0
0 0 0 a b 0
0 0 0 a c 0
0 0 0 b 0 0
0 0 0 b a 0
0 0 0 b b 0
0 0 0 b c 0
0 0 0 c 0 0
0 0 0 c a 0
0 0 0 c b 0
0 0 0 c c 0
Is it a nice code?: No
Generator Matrix-402
a a a 0 0 a
b b b 0 0 b
0 c 0 0 0 0
0 0 c 0 0 0
0 0 0 c 0 0
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 0
0 0 0 c c c
0 0 c 0 0 0
0 0 c 0 c c
0 0 c c 0 0
0 0 c c c c
0 c 0 0 0 0
0 c 0 0 c c
0 c 0 c 0 0
0 c 0 c c c
0 c c 0 0 0
0 c c 0 c c
0 c c c 0 0
0 c c c c c
b b b 0 0 b
b b b 0 c a
b b b c 0 b
b b b c c a
b b a 0 0 b
b b a 0 c a
b b a c 0 b
b b a c c a
b a b 0 0 b
b a b 0 c a
b a b c 0 b
b a b c c a
b a a 0 0 b
b a a 0 c a
b a a c 0 b
b a a c c a
a a a 0 0 a
a a a 0 c b
a a a c 0 a
a a a c c b
a a b 0 0 a
a a b 0 c b
a a b c 0 a
a a b c c b
a b a 0 0 a
a b a 0 c b
a b a c 0 a
a b a c c b
a b b 0 0 a
a b b 0 c b
a b b c 0 a
a b b c c b
c c c 0 0 c
c c c 0 c 0
c c c c 0 c
c c c c c 0
c c 0 0 0 c
c c 0 0 c 0
c c 0 c 0 c
c c 0 c c 0
c 0 c 0 0 c
c 0 c 0 c 0
c 0 c c 0 c
c 0 c c c 0
c 0 0 0 0 c
c 0 0 0 c 0
c 0 0 c 0 c
c 0 0 c c 0
dmin: 1
Weight Enumerator: 1x0 + 3x1 + 6x2 + 10x3 + 17x4 + 19x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_b)4 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)4 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 0 a 0 0
0 0 0 a a 0
0 0 0 a b 0
0 0 0 a c 0
0 0 0 b 0 0
0 0 0 b a 0
0 0 0 b b 0
0 0 0 b c 0
0 0 0 c 0 0
0 0 0 c a 0
0 0 0 c b 0
0 0 0 c c 0
Is it a nice code?: No
Generator Matrix-403
a a a 0 0 a
b b b 0 0 b
0 c 0 0 0 0
0 0 c 0 0 0
0 0 0 c 0 c
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 c
0 0 0 c c c
0 0 c 0 0 0
0 0 c 0 c 0
0 0 c c 0 c
0 0 c c c c
0 c 0 0 0 0
0 c 0 0 c 0
0 c 0 c 0 c
0 c 0 c c c
0 c c 0 0 0
0 c c 0 c 0
0 c c c 0 c
0 c c c c c
b b b 0 0 b
b b b 0 c b
b b b c 0 a
b b b c c a
b b a 0 0 b
b b a 0 c b
b b a c 0 a
b b a c c a
b a b 0 0 b
b a b 0 c b
b a b c 0 a
b a b c c a
b a a 0 0 b
b a a 0 c b
b a a c 0 a
b a a c c a
a a a 0 0 a
a a a 0 c a
a a a c 0 b
a a a c c b
a a b 0 0 a
a a b 0 c a
a a b c 0 b
a a b c c b
a b a 0 0 a
a b a 0 c a
a b a c 0 b
a b a c c b
a b b 0 0 a
a b b 0 c a
a b b c 0 b
a b b c c b
c c c 0 0 c
c c c 0 c c
c c c c 0 0
c c c c c 0
c c 0 0 0 c
c c 0 0 c c
c c 0 c 0 0
c c 0 c c 0
c 0 c 0 0 c
c 0 c 0 c c
c 0 c c 0 0
c 0 c c c 0
c 0 0 0 0 c
c 0 0 0 c c
c 0 0 c 0 0
c 0 0 c c 0
dmin: 1
Weight Enumerator: 1x0 + 3x1 + 6x2 + 10x3 + 17x4 + 19x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)2 (X_b)4 + (X_0)1 (X_b)4 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)4 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 0 a 0 0
0 0 0 a a 0
0 0 0 a b 0
0 0 0 a c 0
0 0 0 b 0 0
0 0 0 b a 0
0 0 0 b b 0
0 0 0 b c 0
0 0 0 c 0 0
0 0 0 c a 0
0 0 0 c b 0
0 0 0 c c 0
Is it a nice code?: No
Generator Matrix-404
a a a 0 0 a
b b b 0 0 b
0 c 0 0 0 0
0 0 c 0 0 0
0 0 0 c 0 c
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 c
0 0 0 c c 0
0 0 c 0 0 0
0 0 c 0 c c
0 0 c c 0 c
0 0 c c c 0
0 c 0 0 0 0
0 c 0 0 c c
0 c 0 c 0 c
0 c 0 c c 0
0 c c 0 0 0
0 c c 0 c c
0 c c c 0 c
0 c c c c 0
b b b 0 0 b
b b b 0 c a
b b b c 0 a
b b b c c b
b b a 0 0 b
b b a 0 c a
b b a c 0 a
b b a c c b
b a b 0 0 b
b a b 0 c a
b a b c 0 a
b a b c c b
b a a 0 0 b
b a a 0 c a
b a a c 0 a
b a a c c b
a a a 0 0 a
a a a 0 c b
a a a c 0 b
a a a c c a
a a b 0 0 a
a a b 0 c b
a a b c 0 b
a a b c c a
a b a 0 0 a
a b a 0 c b
a b a c 0 b
a b a c c a
a b b 0 0 a
a b b 0 c b
a b b c 0 b
a b b c c a
c c c 0 0 c
c c c 0 c 0
c c c c 0 0
c c c c c c
c c 0 0 0 c
c c 0 0 c 0
c c 0 c 0 0
c c 0 c c c
c 0 c 0 0 c
c 0 c 0 c 0
c 0 c c 0 0
c 0 c c c c
c 0 0 0 0 c
c 0 0 0 c 0
c 0 0 c 0 0
c 0 0 c c c
dmin: 1
Weight Enumerator: 1x0 + 2x1 + 7x2 + 12x3 + 15x4 + 18x5 + 9x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_b)4 (X_c)2 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)4 (X_c)2 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_c)6 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 0 a 0 0
0 0 0 a a 0
0 0 0 a b 0
0 0 0 a c 0
0 0 0 b 0 0
0 0 0 b a 0
0 0 0 b b 0
0 0 0 b c 0
0 0 0 c 0 0
0 0 0 c a 0
0 0 0 c b 0
0 0 0 c c 0
Is it a nice code?: No
Generator Matrix-405
a a a 0 0 a
b b b 0 0 b
0 c 0 0 0 0
0 0 c 0 0 c
0 0 0 c 0 0
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 0
0 0 0 c c 0
0 0 c 0 0 c
0 0 c 0 c c
0 0 c c 0 c
0 0 c c c c
0 c 0 0 0 0
0 c 0 0 c 0
0 c 0 c 0 0
0 c 0 c c 0
0 c c 0 0 c
0 c c 0 c c
0 c c c 0 c
0 c c c c c
b b b 0 0 b
b b b 0 c b
b b b c 0 b
b b b c c b
b b a 0 0 a
b b a 0 c a
b b a c 0 a
b b a c c a
b a b 0 0 b
b a b 0 c b
b a b c 0 b
b a b c c b
b a a 0 0 a
b a a 0 c a
b a a c 0 a
b a a c c a
a a a 0 0 a
a a a 0 c a
a a a c 0 a
a a a c c a
a a b 0 0 b
a a b 0 c b
a a b c 0 b
a a b c c b
a b a 0 0 a
a b a 0 c a
a b a c 0 a
a b a c c a
a b b 0 0 b
a b b 0 c b
a b b c 0 b
a b b c c b
c c c 0 0 c
c c c 0 c c
c c c c 0 c
c c c c c c
c c 0 0 0 0
c c 0 0 c 0
c c 0 c 0 0
c c 0 c c 0
c 0 c 0 0 c
c 0 c 0 c c
c 0 c c 0 c
c 0 c c c c
c 0 0 0 0 0
c 0 0 0 c 0
c 0 0 c 0 0
c 0 0 c c 0
dmin: 1
Weight Enumerator: 1x0 + 4x1 + 7x2 + 8x3 + 15x4 + 20x5 + 9x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)2 (X_b)4 + (X_0)1 (X_b)4 (X_c)1 + (X_0)1 (X_b)4 (X_c)1 + (X_b)4 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)4 (X_c)1 + (X_0)1 (X_a)4 (X_c)1 + (X_a)4 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5 + (X_c)6 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 0 a 0 0
0 0 0 a a 0
0 0 0 a b 0
0 0 0 a c 0
0 0 0 b 0 0
0 0 0 b a 0
0 0 0 b b 0
0 0 0 b c 0
0 0 0 c 0 0
0 0 0 c a 0
0 0 0 c b 0
0 0 0 c c 0
Is it a nice code?: No
Generator Matrix-406
a a a 0 0 a
b b b 0 0 b
0 c 0 0 0 0
0 0 c 0 0 c
0 0 0 c 0 0
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 0
0 0 0 c c c
0 0 c 0 0 c
0 0 c 0 c 0
0 0 c c 0 c
0 0 c c c 0
0 c 0 0 0 0
0 c 0 0 c c
0 c 0 c 0 0
0 c 0 c c c
0 c c 0 0 c
0 c c 0 c 0
0 c c c 0 c
0 c c c c 0
b b b 0 0 b
b b b 0 c a
b b b c 0 b
b b b c c a
b b a 0 0 a
b b a 0 c b
b b a c 0 a
b b a c c b
b a b 0 0 b
b a b 0 c a
b a b c 0 b
b a b c c a
b a a 0 0 a
b a a 0 c b
b a a c 0 a
b a a c c b
a a a 0 0 a
a a a 0 c b
a a a c 0 a
a a a c c b
a a b 0 0 b
a a b 0 c a
a a b c 0 b
a a b c c a
a b a 0 0 a
a b a 0 c b
a b a c 0 a
a b a c c b
a b b 0 0 b
a b b 0 c a
a b b c 0 b
a b b c c a
c c c 0 0 c
c c c 0 c 0
c c c c 0 c
c c c c c 0
c c 0 0 0 0
c c 0 0 c c
c c 0 c 0 0
c c 0 c c c
c 0 c 0 0 c
c 0 c 0 c 0
c 0 c c 0 c
c 0 c c c 0
c 0 0 0 0 0
c 0 0 0 c c
c 0 0 c 0 0
c 0 0 c c c
dmin: 1
Weight Enumerator: 1x0 + 3x1 + 6x2 + 10x3 + 17x4 + 19x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_b)4 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)4 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 0 a 0 0
0 0 0 a a 0
0 0 0 a b 0
0 0 0 a c 0
0 0 0 b 0 0
0 0 0 b a 0
0 0 0 b b 0
0 0 0 b c 0
0 0 0 c 0 0
0 0 0 c a 0
0 0 0 c b 0
0 0 0 c c 0
Is it a nice code?: No
Generator Matrix-407
a a a 0 0 a
b b b 0 0 b
0 c 0 0 0 0
0 0 c 0 0 c
0 0 0 c 0 c
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 c
0 0 0 c c c
0 0 c 0 0 c
0 0 c 0 c c
0 0 c c 0 0
0 0 c c c 0
0 c 0 0 0 0
0 c 0 0 c 0
0 c 0 c 0 c
0 c 0 c c c
0 c c 0 0 c
0 c c 0 c c
0 c c c 0 0
0 c c c c 0
b b b 0 0 b
b b b 0 c b
b b b c 0 a
b b b c c a
b b a 0 0 a
b b a 0 c a
b b a c 0 b
b b a c c b
b a b 0 0 b
b a b 0 c b
b a b c 0 a
b a b c c a
b a a 0 0 a
b a a 0 c a
b a a c 0 b
b a a c c b
a a a 0 0 a
a a a 0 c a
a a a c 0 b
a a a c c b
a a b 0 0 b
a a b 0 c b
a a b c 0 a
a a b c c a
a b a 0 0 a
a b a 0 c a
a b a c 0 b
a b a c c b
a b b 0 0 b
a b b 0 c b
a b b c 0 a
a b b c c a
c c c 0 0 c
c c c 0 c c
c c c c 0 0
c c c c c 0
c c 0 0 0 0
c c 0 0 c 0
c c 0 c 0 c
c c 0 c c c
c 0 c 0 0 c
c 0 c 0 c c
c 0 c c 0 0
c 0 c c c 0
c 0 0 0 0 0
c 0 0 0 c 0
c 0 0 c 0 c
c 0 0 c c c
dmin: 1
Weight Enumerator: 1x0 + 3x1 + 6x2 + 10x3 + 17x4 + 19x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_b)4 + (X_0)1 (X_b)4 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)4 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 0 a 0 0
0 0 0 a a 0
0 0 0 a b 0
0 0 0 a c 0
0 0 0 b 0 0
0 0 0 b a 0
0 0 0 b b 0
0 0 0 b c 0
0 0 0 c 0 0
0 0 0 c a 0
0 0 0 c b 0
0 0 0 c c 0
Is it a nice code?: No
Generator Matrix-408
a a a 0 0 a
b b b 0 0 b
0 c 0 0 0 0
0 0 c 0 0 c
0 0 0 c 0 c
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 c
0 0 0 c c 0
0 0 c 0 0 c
0 0 c 0 c 0
0 0 c c 0 0
0 0 c c c c
0 c 0 0 0 0
0 c 0 0 c c
0 c 0 c 0 c
0 c 0 c c 0
0 c c 0 0 c
0 c c 0 c 0
0 c c c 0 0
0 c c c c c
b b b 0 0 b
b b b 0 c a
b b b c 0 a
b b b c c b
b b a 0 0 a
b b a 0 c b
b b a c 0 b
b b a c c a
b a b 0 0 b
b a b 0 c a
b a b c 0 a
b a b c c b
b a a 0 0 a
b a a 0 c b
b a a c 0 b
b a a c c a
a a a 0 0 a
a a a 0 c b
a a a c 0 b
a a a c c a
a a b 0 0 b
a a b 0 c a
a a b c 0 a
a a b c c b
a b a 0 0 a
a b a 0 c b
a b a c 0 b
a b a c c a
a b b 0 0 b
a b b 0 c a
a b b c 0 a
a b b c c b
c c c 0 0 c
c c c 0 c 0
c c c c 0 0
c c c c c c
c c 0 0 0 0
c c 0 0 c c
c c 0 c 0 c
c c 0 c c 0
c 0 c 0 0 c
c 0 c 0 c 0
c 0 c c 0 0
c 0 c c c c
c 0 0 0 0 0
c 0 0 0 c c
c 0 0 c 0 c
c 0 0 c c 0
dmin: 1
Weight Enumerator: 1x0 + 2x1 + 7x2 + 12x3 + 15x4 + 18x5 + 9x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_b)4 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)4 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_c)6 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 0 a 0 0
0 0 0 a a 0
0 0 0 a b 0
0 0 0 a c 0
0 0 0 b 0 0
0 0 0 b a 0
0 0 0 b b 0
0 0 0 b c 0
0 0 0 c 0 0
0 0 0 c a 0
0 0 0 c b 0
0 0 0 c c 0
Is it a nice code?: No
Generator Matrix-409
a a a 0 0 a
b b b 0 0 b
0 c 0 0 0 c
0 0 c 0 0 0
0 0 0 c 0 0
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 0
0 0 0 c c 0
0 0 c 0 0 0
0 0 c 0 c 0
0 0 c c 0 0
0 0 c c c 0
0 c 0 0 0 c
0 c 0 0 c c
0 c 0 c 0 c
0 c 0 c c c
0 c c 0 0 c
0 c c 0 c c
0 c c c 0 c
0 c c c c c
b b b 0 0 b
b b b 0 c b
b b b c 0 b
b b b c c b
b b a 0 0 b
b b a 0 c b
b b a c 0 b
b b a c c b
b a b 0 0 a
b a b 0 c a
b a b c 0 a
b a b c c a
b a a 0 0 a
b a a 0 c a
b a a c 0 a
b a a c c a
a a a 0 0 a
a a a 0 c a
a a a c 0 a
a a a c c a
a a b 0 0 a
a a b 0 c a
a a b c 0 a
a a b c c a
a b a 0 0 b
a b a 0 c b
a b a c 0 b
a b a c c b
a b b 0 0 b
a b b 0 c b
a b b c 0 b
a b b c c b
c c c 0 0 c
c c c 0 c c
c c c c 0 c
c c c c c c
c c 0 0 0 c
c c 0 0 c c
c c 0 c 0 c
c c 0 c c c
c 0 c 0 0 0
c 0 c 0 c 0
c 0 c c 0 0
c 0 c c c 0
c 0 0 0 0 0
c 0 0 0 c 0
c 0 0 c 0 0
c 0 0 c c 0
dmin: 1
Weight Enumerator: 1x0 + 4x1 + 7x2 + 8x3 + 15x4 + 20x5 + 9x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)2 (X_b)4 + (X_0)1 (X_b)4 (X_c)1 + (X_0)1 (X_b)4 (X_c)1 + (X_b)4 (X_c)2 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)4 (X_c)1 + (X_0)1 (X_a)4 (X_c)1 + (X_a)4 (X_c)2 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5 + (X_c)6 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 0 a 0 0
0 0 0 a a 0
0 0 0 a b 0
0 0 0 a c 0
0 0 0 b 0 0
0 0 0 b a 0
0 0 0 b b 0
0 0 0 b c 0
0 0 0 c 0 0
0 0 0 c a 0
0 0 0 c b 0
0 0 0 c c 0
Is it a nice code?: No
Generator Matrix-410
a a a 0 0 a
b b b 0 0 b
0 c 0 0 0 c
0 0 c 0 0 0
0 0 0 c 0 0
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 0
0 0 0 c c c
0 0 c 0 0 0
0 0 c 0 c c
0 0 c c 0 0
0 0 c c c c
0 c 0 0 0 c
0 c 0 0 c 0
0 c 0 c 0 c
0 c 0 c c 0
0 c c 0 0 c
0 c c 0 c 0
0 c c c 0 c
0 c c c c 0
b b b 0 0 b
b b b 0 c a
b b b c 0 b
b b b c c a
b b a 0 0 b
b b a 0 c a
b b a c 0 b
b b a c c a
b a b 0 0 a
b a b 0 c b
b a b c 0 a
b a b c c b
b a a 0 0 a
b a a 0 c b
b a a c 0 a
b a a c c b
a a a 0 0 a
a a a 0 c b
a a a c 0 a
a a a c c b
a a b 0 0 a
a a b 0 c b
a a b c 0 a
a a b c c b
a b a 0 0 b
a b a 0 c a
a b a c 0 b
a b a c c a
a b b 0 0 b
a b b 0 c a
a b b c 0 b
a b b c c a
c c c 0 0 c
c c c 0 c 0
c c c c 0 c
c c c c c 0
c c 0 0 0 c
c c 0 0 c 0
c c 0 c 0 c
c c 0 c c 0
c 0 c 0 0 0
c 0 c 0 c c
c 0 c c 0 0
c 0 c c c c
c 0 0 0 0 0
c 0 0 0 c c
c 0 0 c 0 0
c 0 0 c c c
dmin: 1
Weight Enumerator: 1x0 + 3x1 + 6x2 + 10x3 + 17x4 + 19x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_b)4 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)4 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 0 a 0 0
0 0 0 a a 0
0 0 0 a b 0
0 0 0 a c 0
0 0 0 b 0 0
0 0 0 b a 0
0 0 0 b b 0
0 0 0 b c 0
0 0 0 c 0 0
0 0 0 c a 0
0 0 0 c b 0
0 0 0 c c 0
Is it a nice code?: No
Generator Matrix-411
a a a 0 0 a
b b b 0 0 b
0 c 0 0 0 c
0 0 c 0 0 0
0 0 0 c 0 c
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 c
0 0 0 c c c
0 0 c 0 0 0
0 0 c 0 c 0
0 0 c c 0 c
0 0 c c c c
0 c 0 0 0 c
0 c 0 0 c c
0 c 0 c 0 0
0 c 0 c c 0
0 c c 0 0 c
0 c c 0 c c
0 c c c 0 0
0 c c c c 0
b b b 0 0 b
b b b 0 c b
b b b c 0 a
b b b c c a
b b a 0 0 b
b b a 0 c b
b b a c 0 a
b b a c c a
b a b 0 0 a
b a b 0 c a
b a b c 0 b
b a b c c b
b a a 0 0 a
b a a 0 c a
b a a c 0 b
b a a c c b
a a a 0 0 a
a a a 0 c a
a a a c 0 b
a a a c c b
a a b 0 0 a
a a b 0 c a
a a b c 0 b
a a b c c b
a b a 0 0 b
a b a 0 c b
a b a c 0 a
a b a c c a
a b b 0 0 b
a b b 0 c b
a b b c 0 a
a b b c c a
c c c 0 0 c
c c c 0 c c
c c c c 0 0
c c c c c 0
c c 0 0 0 c
c c 0 0 c c
c c 0 c 0 0
c c 0 c c 0
c 0 c 0 0 0
c 0 c 0 c 0
c 0 c c 0 c
c 0 c c c c
c 0 0 0 0 0
c 0 0 0 c 0
c 0 0 c 0 c
c 0 0 c c c
dmin: 1
Weight Enumerator: 1x0 + 3x1 + 6x2 + 10x3 + 17x4 + 19x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_b)4 + (X_0)1 (X_b)4 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)4 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 0 a 0 0
0 0 0 a a 0
0 0 0 a b 0
0 0 0 a c 0
0 0 0 b 0 0
0 0 0 b a 0
0 0 0 b b 0
0 0 0 b c 0
0 0 0 c 0 0
0 0 0 c a 0
0 0 0 c b 0
0 0 0 c c 0
Is it a nice code?: No
Generator Matrix-412
a a a 0 0 a
b b b 0 0 b
0 c 0 0 0 c
0 0 c 0 0 0
0 0 0 c 0 c
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 c
0 0 0 c c 0
0 0 c 0 0 0
0 0 c 0 c c
0 0 c c 0 c
0 0 c c c 0
0 c 0 0 0 c
0 c 0 0 c 0
0 c 0 c 0 0
0 c 0 c c c
0 c c 0 0 c
0 c c 0 c 0
0 c c c 0 0
0 c c c c c
b b b 0 0 b
b b b 0 c a
b b b c 0 a
b b b c c b
b b a 0 0 b
b b a 0 c a
b b a c 0 a
b b a c c b
b a b 0 0 a
b a b 0 c b
b a b c 0 b
b a b c c a
b a a 0 0 a
b a a 0 c b
b a a c 0 b
b a a c c a
a a a 0 0 a
a a a 0 c b
a a a c 0 b
a a a c c a
a a b 0 0 a
a a b 0 c b
a a b c 0 b
a a b c c a
a b a 0 0 b
a b a 0 c a
a b a c 0 a
a b a c c b
a b b 0 0 b
a b b 0 c a
a b b c 0 a
a b b c c b
c c c 0 0 c
c c c 0 c 0
c c c c 0 0
c c c c c c
c c 0 0 0 c
c c 0 0 c 0
c c 0 c 0 0
c c 0 c c c
c 0 c 0 0 0
c 0 c 0 c c
c 0 c c 0 c
c 0 c c c 0
c 0 0 0 0 0
c 0 0 0 c c
c 0 0 c 0 c
c 0 0 c c 0
dmin: 1
Weight Enumerator: 1x0 + 2x1 + 7x2 + 12x3 + 15x4 + 18x5 + 9x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_b)4 (X_c)2 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)4 (X_c)2 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_c)6 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 0 a 0 0
0 0 0 a a 0
0 0 0 a b 0
0 0 0 a c 0
0 0 0 b 0 0
0 0 0 b a 0
0 0 0 b b 0
0 0 0 b c 0
0 0 0 c 0 0
0 0 0 c a 0
0 0 0 c b 0
0 0 0 c c 0
Is it a nice code?: No
Generator Matrix-413
a a a 0 0 a
b b b 0 0 b
0 c 0 0 0 c
0 0 c 0 0 c
0 0 0 c 0 0
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 0
0 0 0 c c 0
0 0 c 0 0 c
0 0 c 0 c c
0 0 c c 0 c
0 0 c c c c
0 c 0 0 0 c
0 c 0 0 c c
0 c 0 c 0 c
0 c 0 c c c
0 c c 0 0 0
0 c c 0 c 0
0 c c c 0 0
0 c c c c 0
b b b 0 0 b
b b b 0 c b
b b b c 0 b
b b b c c b
b b a 0 0 a
b b a 0 c a
b b a c 0 a
b b a c c a
b a b 0 0 a
b a b 0 c a
b a b c 0 a
b a b c c a
b a a 0 0 b
b a a 0 c b
b a a c 0 b
b a a c c b
a a a 0 0 a
a a a 0 c a
a a a c 0 a
a a a c c a
a a b 0 0 b
a a b 0 c b
a a b c 0 b
a a b c c b
a b a 0 0 b
a b a 0 c b
a b a c 0 b
a b a c c b
a b b 0 0 a
a b b 0 c a
a b b c 0 a
a b b c c a
c c c 0 0 c
c c c 0 c c
c c c c 0 c
c c c c c c
c c 0 0 0 0
c c 0 0 c 0
c c 0 c 0 0
c c 0 c c 0
c 0 c 0 0 0
c 0 c 0 c 0
c 0 c c 0 0
c 0 c c c 0
c 0 0 0 0 c
c 0 0 0 c c
c 0 0 c 0 c
c 0 0 c c c
dmin: 1
Weight Enumerator: 1x0 + 2x1 + 7x2 + 12x3 + 15x4 + 18x5 + 9x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_b)4 + (X_0)1 (X_b)4 (X_c)1 + (X_0)1 (X_b)4 (X_c)1 + (X_b)4 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)4 (X_c)1 + (X_0)1 (X_a)4 (X_c)1 + (X_a)4 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5 + (X_c)6 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 0 a 0 0
0 0 0 a a 0
0 0 0 a b 0
0 0 0 a c 0
0 0 0 b 0 0
0 0 0 b a 0
0 0 0 b b 0
0 0 0 b c 0
0 0 0 c 0 0
0 0 0 c a 0
0 0 0 c b 0
0 0 0 c c 0
Is it a nice code?: No
Generator Matrix-414
a a a 0 0 a
b b b 0 0 b
0 c 0 0 0 c
0 0 c 0 0 c
0 0 0 c 0 0
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 0
0 0 0 c c c
0 0 c 0 0 c
0 0 c 0 c 0
0 0 c c 0 c
0 0 c c c 0
0 c 0 0 0 c
0 c 0 0 c 0
0 c 0 c 0 c
0 c 0 c c 0
0 c c 0 0 0
0 c c 0 c c
0 c c c 0 0
0 c c c c c
b b b 0 0 b
b b b 0 c a
b b b c 0 b
b b b c c a
b b a 0 0 a
b b a 0 c b
b b a c 0 a
b b a c c b
b a b 0 0 a
b a b 0 c b
b a b c 0 a
b a b c c b
b a a 0 0 b
b a a 0 c a
b a a c 0 b
b a a c c a
a a a 0 0 a
a a a 0 c b
a a a c 0 a
a a a c c b
a a b 0 0 b
a a b 0 c a
a a b c 0 b
a a b c c a
a b a 0 0 b
a b a 0 c a
a b a c 0 b
a b a c c a
a b b 0 0 a
a b b 0 c b
a b b c 0 a
a b b c c b
c c c 0 0 c
c c c 0 c 0
c c c c 0 c
c c c c c 0
c c 0 0 0 0
c c 0 0 c c
c c 0 c 0 0
c c 0 c c c
c 0 c 0 0 0
c 0 c 0 c c
c 0 c c 0 0
c 0 c c c c
c 0 0 0 0 c
c 0 0 0 c 0
c 0 0 c 0 c
c 0 0 c c 0
dmin: 1
Weight Enumerator: 1x0 + 1x1 + 10x2 + 10x3 + 13x4 + 21x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_b)4 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)4 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 0 a 0 0
0 0 0 a a 0
0 0 0 a b 0
0 0 0 a c 0
0 0 0 b 0 0
0 0 0 b a 0
0 0 0 b b 0
0 0 0 b c 0
0 0 0 c 0 0
0 0 0 c a 0
0 0 0 c b 0
0 0 0 c c 0
Is it a nice code?: No
Generator Matrix-415
a a a 0 0 a
b b b 0 0 b
0 c 0 0 0 c
0 0 c 0 0 c
0 0 0 c 0 c
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 c
0 0 0 c c c
0 0 c 0 0 c
0 0 c 0 c c
0 0 c c 0 0
0 0 c c c 0
0 c 0 0 0 c
0 c 0 0 c c
0 c 0 c 0 0
0 c 0 c c 0
0 c c 0 0 0
0 c c 0 c 0
0 c c c 0 c
0 c c c c c
b b b 0 0 b
b b b 0 c b
b b b c 0 a
b b b c c a
b b a 0 0 a
b b a 0 c a
b b a c 0 b
b b a c c b
b a b 0 0 a
b a b 0 c a
b a b c 0 b
b a b c c b
b a a 0 0 b
b a a 0 c b
b a a c 0 a
b a a c c a
a a a 0 0 a
a a a 0 c a
a a a c 0 b
a a a c c b
a a b 0 0 b
a a b 0 c b
a a b c 0 a
a a b c c a
a b a 0 0 b
a b a 0 c b
a b a c 0 a
a b a c c a
a b b 0 0 a
a b b 0 c a
a b b c 0 b
a b b c c b
c c c 0 0 c
c c c 0 c c
c c c c 0 0
c c c c c 0
c c 0 0 0 0
c c 0 0 c 0
c c 0 c 0 c
c c 0 c c c
c 0 c 0 0 0
c 0 c 0 c 0
c 0 c c 0 c
c 0 c c c c
c 0 0 0 0 c
c 0 0 0 c c
c 0 0 c 0 0
c 0 0 c c 0
dmin: 1
Weight Enumerator: 1x0 + 1x1 + 10x2 + 10x3 + 13x4 + 21x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)2 (X_b)4 + (X_0)1 (X_b)4 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)4 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 0 a 0 0
0 0 0 a a 0
0 0 0 a b 0
0 0 0 a c 0
0 0 0 b 0 0
0 0 0 b a 0
0 0 0 b b 0
0 0 0 b c 0
0 0 0 c 0 0
0 0 0 c a 0
0 0 0 c b 0
0 0 0 c c 0
Is it a nice code?: No
Generator Matrix-416
a a a 0 0 a
b b b 0 0 b
0 c 0 0 0 c
0 0 c 0 0 c
0 0 0 c 0 c
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 c
0 0 0 c c 0
0 0 c 0 0 c
0 0 c 0 c 0
0 0 c c 0 0
0 0 c c c c
0 c 0 0 0 c
0 c 0 0 c 0
0 c 0 c 0 0
0 c 0 c c c
0 c c 0 0 0
0 c c 0 c c
0 c c c 0 c
0 c c c c 0
b b b 0 0 b
b b b 0 c a
b b b c 0 a
b b b c c b
b b a 0 0 a
b b a 0 c b
b b a c 0 b
b b a c c a
b a b 0 0 a
b a b 0 c b
b a b c 0 b
b a b c c a
b a a 0 0 b
b a a 0 c a
b a a c 0 a
b a a c c b
a a a 0 0 a
a a a 0 c b
a a a c 0 b
a a a c c a
a a b 0 0 b
a a b 0 c a
a a b c 0 a
a a b c c b
a b a 0 0 b
a b a 0 c a
a b a c 0 a
a b a c c b
a b b 0 0 a
a b b 0 c b
a b b c 0 b
a b b c c a
c c c 0 0 c
c c c 0 c 0
c c c c 0 0
c c c c c c
c c 0 0 0 0
c c 0 0 c c
c c 0 c 0 c
c c 0 c c 0
c 0 c 0 0 0
c 0 c 0 c c
c 0 c c 0 c
c 0 c c c 0
c 0 0 0 0 c
c 0 0 0 c 0
c 0 0 c 0 0
c 0 0 c c c
dmin: 2
Weight Enumerator: 1x0 + 0x1 + 15x2 + 0x3 + 23x4 + 16x5 + 9x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_b)4 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)4 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_c)6 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
0 0 0 a 0 0
0 0 0 a a 0
0 0 0 a b 0
0 0 0 a c 0
0 0 0 b 0 0
0 0 0 b a 0
0 0 0 b b 0
0 0 0 b c 0
0 0 0 c 0 0
0 0 0 c a 0
0 0 0 c b 0
0 0 0 c c 0
Is it a nice code?: No
Generator Matrix-417
a a a 0 a 0
b b b 0 b 0
0 c 0 0 0 0
0 0 c 0 0 0
0 0 0 c 0 0
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 0
0 0 0 c c 0
0 0 c 0 0 0
0 0 c 0 c 0
0 0 c c 0 0
0 0 c c c 0
0 c 0 0 0 0
0 c 0 0 c 0
0 c 0 c 0 0
0 c 0 c c 0
0 c c 0 0 0
0 c c 0 c 0
0 c c c 0 0
0 c c c c 0
b b b 0 b 0
b b b 0 a 0
b b b c b 0
b b b c a 0
b b a 0 b 0
b b a 0 a 0
b b a c b 0
b b a c a 0
b a b 0 b 0
b a b 0 a 0
b a b c b 0
b a b c a 0
b a a 0 b 0
b a a 0 a 0
b a a c b 0
b a a c a 0
a a a 0 a 0
a a a 0 b 0
a a a c a 0
a a a c b 0
a a b 0 a 0
a a b 0 b 0
a a b c a 0
a a b c b 0
a b a 0 a 0
a b a 0 b 0
a b a c a 0
a b a c b 0
a b b 0 a 0
a b b 0 b 0
a b b c a 0
a b b c b 0
c c c 0 c 0
c c c 0 0 0
c c c c c 0
c c c c 0 0
c c 0 0 c 0
c c 0 0 0 0
c c 0 c c 0
c c 0 c 0 0
c 0 c 0 c 0
c 0 c 0 0 0
c 0 c c c 0
c 0 c c 0 0
c 0 0 0 c 0
c 0 0 0 0 0
c 0 0 c c 0
c 0 0 c 0 0
dmin: 1
Weight Enumerator: 1x0 + 5x1 + 10x2 + 10x3 + 21x4 + 17x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_b)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_b)4 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)1 (X_b)3 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)3 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)4 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)3 (X_b)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)3 (X_b)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c
Is it a nice code?: No
Generator Matrix-418
a a a 0 a 0
b b b 0 b 0
0 c 0 0 0 0
0 0 c 0 0 0
0 0 0 c 0 0
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 0
0 0 0 c c c
0 0 c 0 0 0
0 0 c 0 c c
0 0 c c 0 0
0 0 c c c c
0 c 0 0 0 0
0 c 0 0 c c
0 c 0 c 0 0
0 c 0 c c c
0 c c 0 0 0
0 c c 0 c c
0 c c c 0 0
0 c c c c c
b b b 0 b 0
b b b 0 a c
b b b c b 0
b b b c a c
b b a 0 b 0
b b a 0 a c
b b a c b 0
b b a c a c
b a b 0 b 0
b a b 0 a c
b a b c b 0
b a b c a c
b a a 0 b 0
b a a 0 a c
b a a c b 0
b a a c a c
a a a 0 a 0
a a a 0 b c
a a a c a 0
a a a c b c
a a b 0 a 0
a a b 0 b c
a a b c a 0
a a b c b c
a b a 0 a 0
a b a 0 b c
a b a c a 0
a b a c b c
a b b 0 a 0
a b b 0 b c
a b b c a 0
a b b c b c
c c c 0 c 0
c c c 0 0 c
c c c c c 0
c c c c 0 c
c c 0 0 c 0
c c 0 0 0 c
c c 0 c c 0
c c 0 c 0 c
c 0 c 0 c 0
c 0 c 0 0 c
c 0 c c c 0
c 0 c c 0 c
c 0 0 0 c 0
c 0 0 0 0 c
c 0 0 c c 0
c 0 0 c 0 c
dmin: 1
Weight Enumerator: 1x0 + 3x1 + 6x2 + 10x3 + 17x4 + 19x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_b)4 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)4 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c
Is it a nice code?: No
Generator Matrix-419
a a a 0 a 0
b b b 0 b 0
0 c 0 0 0 0
0 0 c 0 0 0
0 0 0 c 0 c
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 c
0 0 0 c c c
0 0 c 0 0 0
0 0 c 0 c 0
0 0 c c 0 c
0 0 c c c c
0 c 0 0 0 0
0 c 0 0 c 0
0 c 0 c 0 c
0 c 0 c c c
0 c c 0 0 0
0 c c 0 c 0
0 c c c 0 c
0 c c c c c
b b b 0 b 0
b b b 0 a 0
b b b c b c
b b b c a c
b b a 0 b 0
b b a 0 a 0
b b a c b c
b b a c a c
b a b 0 b 0
b a b 0 a 0
b a b c b c
b a b c a c
b a a 0 b 0
b a a 0 a 0
b a a c b c
b a a c a c
a a a 0 a 0
a a a 0 b 0
a a a c a c
a a a c b c
a a b 0 a 0
a a b 0 b 0
a a b c a c
a a b c b c
a b a 0 a 0
a b a 0 b 0
a b a c a c
a b a c b c
a b b 0 a 0
a b b 0 b 0
a b b c a c
a b b c b c
c c c 0 c 0
c c c 0 0 0
c c c c c c
c c c c 0 c
c c 0 0 c 0
c c 0 0 0 0
c c 0 c c c
c c 0 c 0 c
c 0 c 0 c 0
c 0 c 0 0 0
c 0 c c c c
c 0 c c 0 c
c 0 0 0 c 0
c 0 0 0 0 0
c 0 0 c c c
c 0 0 c 0 c
dmin: 1
Weight Enumerator: 1x0 + 4x1 + 7x2 + 8x3 + 23x4 + 4x5 + 17x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)2 (X_b)4 + (X_0)2 (X_a)1 (X_b)3 + (X_b)4 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)1 (X_b)3 + (X_0)2 (X_a)2 (X_b)2 + (X_a)1 (X_b)3 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)3 + (X_0)2 (X_a)2 (X_b)2 + (X_a)1 (X_b)3 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_a)3 (X_b)1 + (X_a)2 (X_b)2 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)4 + (X_0)2 (X_a)3 (X_b)1 + (X_a)4 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)3 (X_b)1 + (X_0)2 (X_a)2 (X_b)2 + (X_a)3 (X_b)1 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)3 (X_b)1 + (X_0)2 (X_a)2 (X_b)2 + (X_a)3 (X_b)1 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_a)1 (X_b)3 + (X_a)2 (X_b)2 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_c)6 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c
Is it a nice code?: No
Generator Matrix-420
a a a 0 a 0
b b b 0 b 0
0 c 0 0 0 0
0 0 c 0 0 0
0 0 0 c 0 c
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 c
0 0 0 c c 0
0 0 c 0 0 0
0 0 c 0 c c
0 0 c c 0 c
0 0 c c c 0
0 c 0 0 0 0
0 c 0 0 c c
0 c 0 c 0 c
0 c 0 c c 0
0 c c 0 0 0
0 c c 0 c c
0 c c c 0 c
0 c c c c 0
b b b 0 b 0
b b b 0 a c
b b b c b c
b b b c a 0
b b a 0 b 0
b b a 0 a c
b b a c b c
b b a c a 0
b a b 0 b 0
b a b 0 a c
b a b c b c
b a b c a 0
b a a 0 b 0
b a a 0 a c
b a a c b c
b a a c a 0
a a a 0 a 0
a a a 0 b c
a a a c a c
a a a c b 0
a a b 0 a 0
a a b 0 b c
a a b c a c
a a b c b 0
a b a 0 a 0
a b a 0 b c
a b a c a c
a b a c b 0
a b b 0 a 0
a b b 0 b c
a b b c a c
a b b c b 0
c c c 0 c 0
c c c 0 0 c
c c c c c c
c c c c 0 0
c c 0 0 c 0
c c 0 0 0 c
c c 0 c c c
c c 0 c 0 0
c 0 c 0 c 0
c 0 c 0 0 c
c 0 c c c c
c 0 c c 0 0
c 0 0 0 c 0
c 0 0 0 0 c
c 0 0 c c c
c 0 0 c 0 0
dmin: 1
Weight Enumerator: 1x0 + 2x1 + 7x2 + 12x3 + 15x4 + 18x5 + 9x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_b)4 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)4 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_c)6 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c
Is it a nice code?: No
Generator Matrix-421
a a a 0 a 0
b b b 0 b 0
0 c 0 0 0 0
0 0 c 0 0 c
0 0 0 c 0 0
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 0
0 0 0 c c 0
0 0 c 0 0 c
0 0 c 0 c c
0 0 c c 0 c
0 0 c c c c
0 c 0 0 0 0
0 c 0 0 c 0
0 c 0 c 0 0
0 c 0 c c 0
0 c c 0 0 c
0 c c 0 c c
0 c c c 0 c
0 c c c c c
b b b 0 b 0
b b b 0 a 0
b b b c b 0
b b b c a 0
b b a 0 b c
b b a 0 a c
b b a c b c
b b a c a c
b a b 0 b 0
b a b 0 a 0
b a b c b 0
b a b c a 0
b a a 0 b c
b a a 0 a c
b a a c b c
b a a c a c
a a a 0 a 0
a a a 0 b 0
a a a c a 0
a a a c b 0
a a b 0 a c
a a b 0 b c
a a b c a c
a a b c b c
a b a 0 a 0
a b a 0 b 0
a b a c a 0
a b a c b 0
a b b 0 a c
a b b 0 b c
a b b c a c
a b b c b c
c c c 0 c 0
c c c 0 0 0
c c c c c 0
c c c c 0 0
c c 0 0 c c
c c 0 0 0 c
c c 0 c c c
c c 0 c 0 c
c 0 c 0 c 0
c 0 c 0 0 0
c 0 c c c 0
c 0 c c 0 0
c 0 0 0 c c
c 0 0 0 0 c
c 0 0 c c c
c 0 0 c 0 c
dmin: 1
Weight Enumerator: 1x0 + 3x1 + 6x2 + 10x3 + 17x4 + 19x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)2 (X_b)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_b)4 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)3 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)4 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)3 (X_b)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c
Is it a nice code?: No
Generator Matrix-422
a a a 0 a 0
b b b 0 b 0
0 c 0 0 0 0
0 0 c 0 0 c
0 0 0 c 0 0
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 0
0 0 0 c c c
0 0 c 0 0 c
0 0 c 0 c 0
0 0 c c 0 c
0 0 c c c 0
0 c 0 0 0 0
0 c 0 0 c c
0 c 0 c 0 0
0 c 0 c c c
0 c c 0 0 c
0 c c 0 c 0
0 c c c 0 c
0 c c c c 0
b b b 0 b 0
b b b 0 a c
b b b c b 0
b b b c a c
b b a 0 b c
b b a 0 a 0
b b a c b c
b b a c a 0
b a b 0 b 0
b a b 0 a c
b a b c b 0
b a b c a c
b a a 0 b c
b a a 0 a 0
b a a c b c
b a a c a 0
a a a 0 a 0
a a a 0 b c
a a a c a 0
a a a c b c
a a b 0 a c
a a b 0 b 0
a a b c a c
a a b c b 0
a b a 0 a 0
a b a 0 b c
a b a c a 0
a b a c b c
a b b 0 a c
a b b 0 b 0
a b b c a c
a b b c b 0
c c c 0 c 0
c c c 0 0 c
c c c c c 0
c c c c 0 c
c c 0 0 c c
c c 0 0 0 0
c c 0 c c c
c c 0 c 0 0
c 0 c 0 c 0
c 0 c 0 0 c
c 0 c c c 0
c 0 c c 0 c
c 0 0 0 c c
c 0 0 0 0 0
c 0 0 c c c
c 0 0 c 0 0
dmin: 1
Weight Enumerator: 1x0 + 3x1 + 6x2 + 10x3 + 17x4 + 19x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_b)4 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)3 (X_b)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)4 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)3 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c
Is it a nice code?: No
Generator Matrix-423
a a a 0 a 0
b b b 0 b 0
0 c 0 0 0 0
0 0 c 0 0 c
0 0 0 c 0 c
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 c
0 0 0 c c c
0 0 c 0 0 c
0 0 c 0 c c
0 0 c c 0 0
0 0 c c c 0
0 c 0 0 0 0
0 c 0 0 c 0
0 c 0 c 0 c
0 c 0 c c c
0 c c 0 0 c
0 c c 0 c c
0 c c c 0 0
0 c c c c 0
b b b 0 b 0
b b b 0 a 0
b b b c b c
b b b c a c
b b a 0 b c
b b a 0 a c
b b a c b 0
b b a c a 0
b a b 0 b 0
b a b 0 a 0
b a b c b c
b a b c a c
b a a 0 b c
b a a 0 a c
b a a c b 0
b a a c a 0
a a a 0 a 0
a a a 0 b 0
a a a c a c
a a a c b c
a a b 0 a c
a a b 0 b c
a a b c a 0
a a b c b 0
a b a 0 a 0
a b a 0 b 0
a b a c a c
a b a c b c
a b b 0 a c
a b b 0 b c
a b b c a 0
a b b c b 0
c c c 0 c 0
c c c 0 0 0
c c c c c c
c c c c 0 c
c c 0 0 c c
c c 0 0 0 c
c c 0 c c 0
c c 0 c 0 0
c 0 c 0 c 0
c 0 c 0 0 0
c 0 c c c c
c 0 c c 0 c
c 0 0 0 c c
c 0 0 0 0 c
c 0 0 c c 0
c 0 0 c 0 0
dmin: 1
Weight Enumerator: 1x0 + 2x1 + 7x2 + 12x3 + 15x4 + 18x5 + 9x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_b)4 + (X_0)2 (X_a)1 (X_b)3 + (X_b)4 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)3 + (X_0)2 (X_a)2 (X_b)2 + (X_a)1 (X_b)3 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)3 (X_b)1 + (X_a)4 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)3 (X_b)1 + (X_0)2 (X_a)2 (X_b)2 + (X_a)3 (X_b)1 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_c)6 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c
Is it a nice code?: No
Generator Matrix-424
a a a 0 a 0
b b b 0 b 0
0 c 0 0 0 0
0 0 c 0 0 c
0 0 0 c 0 c
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 c
0 0 0 c c 0
0 0 c 0 0 c
0 0 c 0 c 0
0 0 c c 0 0
0 0 c c c c
0 c 0 0 0 0
0 c 0 0 c c
0 c 0 c 0 c
0 c 0 c c 0
0 c c 0 0 c
0 c c 0 c 0
0 c c c 0 0
0 c c c c c
b b b 0 b 0
b b b 0 a c
b b b c b c
b b b c a 0
b b a 0 b c
b b a 0 a 0
b b a c b 0
b b a c a c
b a b 0 b 0
b a b 0 a c
b a b c b c
b a b c a 0
b a a 0 b c
b a a 0 a 0
b a a c b 0
b a a c a c
a a a 0 a 0
a a a 0 b c
a a a c a c
a a a c b 0
a a b 0 a c
a a b 0 b 0
a a b c a 0
a a b c b c
a b a 0 a 0
a b a 0 b c
a b a c a c
a b a c b 0
a b b 0 a c
a b b 0 b 0
a b b c a 0
a b b c b c
c c c 0 c 0
c c c 0 0 c
c c c c c c
c c c c 0 0
c c 0 0 c c
c c 0 0 0 0
c c 0 c c 0
c c 0 c 0 c
c 0 c 0 c 0
c 0 c 0 0 c
c 0 c c c c
c 0 c c 0 0
c 0 0 0 c c
c 0 0 0 0 0
c 0 0 c c 0
c 0 0 c 0 c
dmin: 1
Weight Enumerator: 1x0 + 2x1 + 7x2 + 12x3 + 15x4 + 18x5 + 9x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_b)4 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)4 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_c)6 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c
Is it a nice code?: No
Generator Matrix-425
a a a 0 a 0
b b b 0 b 0
0 c 0 0 0 c
0 0 c 0 0 0
0 0 0 c 0 0
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 0
0 0 0 c c 0
0 0 c 0 0 0
0 0 c 0 c 0
0 0 c c 0 0
0 0 c c c 0
0 c 0 0 0 c
0 c 0 0 c c
0 c 0 c 0 c
0 c 0 c c c
0 c c 0 0 c
0 c c 0 c c
0 c c c 0 c
0 c c c c c
b b b 0 b 0
b b b 0 a 0
b b b c b 0
b b b c a 0
b b a 0 b 0
b b a 0 a 0
b b a c b 0
b b a c a 0
b a b 0 b c
b a b 0 a c
b a b c b c
b a b c a c
b a a 0 b c
b a a 0 a c
b a a c b c
b a a c a c
a a a 0 a 0
a a a 0 b 0
a a a c a 0
a a a c b 0
a a b 0 a 0
a a b 0 b 0
a a b c a 0
a a b c b 0
a b a 0 a c
a b a 0 b c
a b a c a c
a b a c b c
a b b 0 a c
a b b 0 b c
a b b c a c
a b b c b c
c c c 0 c 0
c c c 0 0 0
c c c c c 0
c c c c 0 0
c c 0 0 c 0
c c 0 0 0 0
c c 0 c c 0
c c 0 c 0 0
c 0 c 0 c c
c 0 c 0 0 c
c 0 c c c c
c 0 c c 0 c
c 0 0 0 c c
c 0 0 0 0 c
c 0 0 c c c
c 0 0 c 0 c
dmin: 1
Weight Enumerator: 1x0 + 3x1 + 6x2 + 10x3 + 17x4 + 19x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)2 (X_b)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_b)4 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)1 (X_b)3 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)4 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)3 (X_b)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c
Is it a nice code?: No
Generator Matrix-426
a a a 0 a 0
b b b 0 b 0
0 c 0 0 0 c
0 0 c 0 0 0
0 0 0 c 0 0
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 0
0 0 0 c c c
0 0 c 0 0 0
0 0 c 0 c c
0 0 c c 0 0
0 0 c c c c
0 c 0 0 0 c
0 c 0 0 c 0
0 c 0 c 0 c
0 c 0 c c 0
0 c c 0 0 c
0 c c 0 c 0
0 c c c 0 c
0 c c c c 0
b b b 0 b 0
b b b 0 a c
b b b c b 0
b b b c a c
b b a 0 b 0
b b a 0 a c
b b a c b 0
b b a c a c
b a b 0 b c
b a b 0 a 0
b a b c b c
b a b c a 0
b a a 0 b c
b a a 0 a 0
b a a c b c
b a a c a 0
a a a 0 a 0
a a a 0 b c
a a a c a 0
a a a c b c
a a b 0 a 0
a a b 0 b c
a a b c a 0
a a b c b c
a b a 0 a c
a b a 0 b 0
a b a c a c
a b a c b 0
a b b 0 a c
a b b 0 b 0
a b b c a c
a b b c b 0
c c c 0 c 0
c c c 0 0 c
c c c c c 0
c c c c 0 c
c c 0 0 c 0
c c 0 0 0 c
c c 0 c c 0
c c 0 c 0 c
c 0 c 0 c c
c 0 c 0 0 0
c 0 c c c c
c 0 c c 0 0
c 0 0 0 c c
c 0 0 0 0 0
c 0 0 c c c
c 0 0 c 0 0
dmin: 1
Weight Enumerator: 1x0 + 3x1 + 6x2 + 10x3 + 17x4 + 19x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_b)4 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)3 (X_b)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)4 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)3 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c
Is it a nice code?: No
Generator Matrix-427
a a a 0 a 0
b b b 0 b 0
0 c 0 0 0 c
0 0 c 0 0 0
0 0 0 c 0 c
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 c
0 0 0 c c c
0 0 c 0 0 0
0 0 c 0 c 0
0 0 c c 0 c
0 0 c c c c
0 c 0 0 0 c
0 c 0 0 c c
0 c 0 c 0 0
0 c 0 c c 0
0 c c 0 0 c
0 c c 0 c c
0 c c c 0 0
0 c c c c 0
b b b 0 b 0
b b b 0 a 0
b b b c b c
b b b c a c
b b a 0 b 0
b b a 0 a 0
b b a c b c
b b a c a c
b a b 0 b c
b a b 0 a c
b a b c b 0
b a b c a 0
b a a 0 b c
b a a 0 a c
b a a c b 0
b a a c a 0
a a a 0 a 0
a a a 0 b 0
a a a c a c
a a a c b c
a a b 0 a 0
a a b 0 b 0
a a b c a c
a a b c b c
a b a 0 a c
a b a 0 b c
a b a c a 0
a b a c b 0
a b b 0 a c
a b b 0 b c
a b b c a 0
a b b c b 0
c c c 0 c 0
c c c 0 0 0
c c c c c c
c c c c 0 c
c c 0 0 c 0
c c 0 0 0 0
c c 0 c c c
c c 0 c 0 c
c 0 c 0 c c
c 0 c 0 0 c
c 0 c c c 0
c 0 c c 0 0
c 0 0 0 c c
c 0 0 0 0 c
c 0 0 c c 0
c 0 0 c 0 0
dmin: 1
Weight Enumerator: 1x0 + 2x1 + 7x2 + 12x3 + 15x4 + 18x5 + 9x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_b)4 + (X_0)2 (X_a)1 (X_b)3 + (X_b)4 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)1 (X_b)3 + (X_0)2 (X_a)2 (X_b)2 + (X_a)1 (X_b)3 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)3 (X_b)1 + (X_a)4 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)3 (X_b)1 + (X_0)2 (X_a)2 (X_b)2 + (X_a)3 (X_b)1 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_c)6 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c
Is it a nice code?: No
Generator Matrix-428
a a a 0 a 0
b b b 0 b 0
0 c 0 0 0 c
0 0 c 0 0 0
0 0 0 c 0 c
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 c
0 0 0 c c 0
0 0 c 0 0 0
0 0 c 0 c c
0 0 c c 0 c
0 0 c c c 0
0 c 0 0 0 c
0 c 0 0 c 0
0 c 0 c 0 0
0 c 0 c c c
0 c c 0 0 c
0 c c 0 c 0
0 c c c 0 0
0 c c c c c
b b b 0 b 0
b b b 0 a c
b b b c b c
b b b c a 0
b b a 0 b 0
b b a 0 a c
b b a c b c
b b a c a 0
b a b 0 b c
b a b 0 a 0
b a b c b 0
b a b c a c
b a a 0 b c
b a a 0 a 0
b a a c b 0
b a a c a c
a a a 0 a 0
a a a 0 b c
a a a c a c
a a a c b 0
a a b 0 a 0
a a b 0 b c
a a b c a c
a a b c b 0
a b a 0 a c
a b a 0 b 0
a b a c a 0
a b a c b c
a b b 0 a c
a b b 0 b 0
a b b c a 0
a b b c b c
c c c 0 c 0
c c c 0 0 c
c c c c c c
c c c c 0 0
c c 0 0 c 0
c c 0 0 0 c
c c 0 c c c
c c 0 c 0 0
c 0 c 0 c c
c 0 c 0 0 0
c 0 c c c 0
c 0 c c 0 c
c 0 0 0 c c
c 0 0 0 0 0
c 0 0 c c 0
c 0 0 c 0 c
dmin: 1
Weight Enumerator: 1x0 + 2x1 + 7x2 + 12x3 + 15x4 + 18x5 + 9x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_b)4 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)4 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_c)6 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c
Is it a nice code?: No
Generator Matrix-429
a a a 0 a 0
b b b 0 b 0
0 c 0 0 0 c
0 0 c 0 0 c
0 0 0 c 0 0
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 0
0 0 0 c c 0
0 0 c 0 0 c
0 0 c 0 c c
0 0 c c 0 c
0 0 c c c c
0 c 0 0 0 c
0 c 0 0 c c
0 c 0 c 0 c
0 c 0 c c c
0 c c 0 0 0
0 c c 0 c 0
0 c c c 0 0
0 c c c c 0
b b b 0 b 0
b b b 0 a 0
b b b c b 0
b b b c a 0
b b a 0 b c
b b a 0 a c
b b a c b c
b b a c a c
b a b 0 b c
b a b 0 a c
b a b c b c
b a b c a c
b a a 0 b 0
b a a 0 a 0
b a a c b 0
b a a c a 0
a a a 0 a 0
a a a 0 b 0
a a a c a 0
a a a c b 0
a a b 0 a c
a a b 0 b c
a a b c a c
a a b c b c
a b a 0 a c
a b a 0 b c
a b a c a c
a b a c b c
a b b 0 a 0
a b b 0 b 0
a b b c a 0
a b b c b 0
c c c 0 c 0
c c c 0 0 0
c c c c c 0
c c c c 0 0
c c 0 0 c c
c c 0 0 0 c
c c 0 c c c
c c 0 c 0 c
c 0 c 0 c c
c 0 c 0 0 c
c 0 c c c c
c 0 c c 0 c
c 0 0 0 c 0
c 0 0 0 0 0
c 0 0 c c 0
c 0 0 c 0 0
dmin: 1
Weight Enumerator: 1x0 + 3x1 + 6x2 + 10x3 + 17x4 + 19x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_b)4 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_b)4 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)4 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)4 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c
Is it a nice code?: No
Generator Matrix-430
a a a 0 a 0
b b b 0 b 0
0 c 0 0 0 c
0 0 c 0 0 c
0 0 0 c 0 0
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 0
0 0 0 c c c
0 0 c 0 0 c
0 0 c 0 c 0
0 0 c c 0 c
0 0 c c c 0
0 c 0 0 0 c
0 c 0 0 c 0
0 c 0 c 0 c
0 c 0 c c 0
0 c c 0 0 0
0 c c 0 c c
0 c c c 0 0
0 c c c c c
b b b 0 b 0
b b b 0 a c
b b b c b 0
b b b c a c
b b a 0 b c
b b a 0 a 0
b b a c b c
b b a c a 0
b a b 0 b c
b a b 0 a 0
b a b c b c
b a b c a 0
b a a 0 b 0
b a a 0 a c
b a a c b 0
b a a c a c
a a a 0 a 0
a a a 0 b c
a a a c a 0
a a a c b c
a a b 0 a c
a a b 0 b 0
a a b c a c
a a b c b 0
a b a 0 a c
a b a 0 b 0
a b a c a c
a b a c b 0
a b b 0 a 0
a b b 0 b c
a b b c a 0
a b b c b c
c c c 0 c 0
c c c 0 0 c
c c c c c 0
c c c c 0 c
c c 0 0 c c
c c 0 0 0 0
c c 0 c c c
c c 0 c 0 0
c 0 c 0 c c
c 0 c 0 0 0
c 0 c c c c
c 0 c c 0 0
c 0 0 0 c 0
c 0 0 0 0 c
c 0 0 c c 0
c 0 0 c 0 c
dmin: 1
Weight Enumerator: 1x0 + 1x1 + 10x2 + 10x3 + 13x4 + 21x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_b)4 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)4 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c
Is it a nice code?: No
Generator Matrix-431
a a a 0 a 0
b b b 0 b 0
0 c 0 0 0 c
0 0 c 0 0 c
0 0 0 c 0 c
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 c
0 0 0 c c c
0 0 c 0 0 c
0 0 c 0 c c
0 0 c c 0 0
0 0 c c c 0
0 c 0 0 0 c
0 c 0 0 c c
0 c 0 c 0 0
0 c 0 c c 0
0 c c 0 0 0
0 c c 0 c 0
0 c c c 0 c
0 c c c c c
b b b 0 b 0
b b b 0 a 0
b b b c b c
b b b c a c
b b a 0 b c
b b a 0 a c
b b a c b 0
b b a c a 0
b a b 0 b c
b a b 0 a c
b a b c b 0
b a b c a 0
b a a 0 b 0
b a a 0 a 0
b a a c b c
b a a c a c
a a a 0 a 0
a a a 0 b 0
a a a c a c
a a a c b c
a a b 0 a c
a a b 0 b c
a a b c a 0
a a b c b 0
a b a 0 a c
a b a 0 b c
a b a c a 0
a b a c b 0
a b b 0 a 0
a b b 0 b 0
a b b c a c
a b b c b c
c c c 0 c 0
c c c 0 0 0
c c c c c c
c c c c 0 c
c c 0 0 c c
c c 0 0 0 c
c c 0 c c 0
c c 0 c 0 0
c 0 c 0 c c
c 0 c 0 0 c
c 0 c c c 0
c 0 c c 0 0
c 0 0 0 c 0
c 0 0 0 0 0
c 0 0 c c c
c 0 0 c 0 c
dmin: 1
Weight Enumerator: 1x0 + 2x1 + 7x2 + 12x3 + 15x4 + 18x5 + 9x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)2 (X_b)4 + (X_0)2 (X_a)1 (X_b)3 + (X_b)4 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_a)3 (X_b)1 + (X_a)2 (X_b)2 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)4 + (X_0)2 (X_a)3 (X_b)1 + (X_a)4 (X_c)2 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)2 (X_a)1 (X_b)3 + (X_a)2 (X_b)2 (X_c)2 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_c)6 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c
Is it a nice code?: No
Generator Matrix-432
a a a 0 a 0
b b b 0 b 0
0 c 0 0 0 c
0 0 c 0 0 c
0 0 0 c 0 c
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 c
0 0 0 c c 0
0 0 c 0 0 c
0 0 c 0 c 0
0 0 c c 0 0
0 0 c c c c
0 c 0 0 0 c
0 c 0 0 c 0
0 c 0 c 0 0
0 c 0 c c c
0 c c 0 0 0
0 c c 0 c c
0 c c c 0 c
0 c c c c 0
b b b 0 b 0
b b b 0 a c
b b b c b c
b b b c a 0
b b a 0 b c
b b a 0 a 0
b b a c b 0
b b a c a c
b a b 0 b c
b a b 0 a 0
b a b c b 0
b a b c a c
b a a 0 b 0
b a a 0 a c
b a a c b c
b a a c a 0
a a a 0 a 0
a a a 0 b c
a a a c a c
a a a c b 0
a a b 0 a c
a a b 0 b 0
a a b c a 0
a a b c b c
a b a 0 a c
a b a 0 b 0
a b a c a 0
a b a c b c
a b b 0 a 0
a b b 0 b c
a b b c a c
a b b c b 0
c c c 0 c 0
c c c 0 0 c
c c c c c c
c c c c 0 0
c c 0 0 c c
c c 0 0 0 0
c c 0 c c 0
c c 0 c 0 c
c 0 c 0 c c
c 0 c 0 0 0
c 0 c c c 0
c 0 c c 0 c
c 0 0 0 c 0
c 0 0 0 0 c
c 0 0 c c c
c 0 0 c 0 0
dmin: 2
Weight Enumerator: 1x0 + 0x1 + 15x2 + 0x3 + 23x4 + 16x5 + 9x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_b)4 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_b)4 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)4 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_c)6 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 a 0 0
0 0 0 a 0 a
0 0 0 a 0 b
0 0 0 a 0 c
0 0 0 b 0 0
0 0 0 b 0 a
0 0 0 b 0 b
0 0 0 b 0 c
0 0 0 c 0 0
0 0 0 c 0 a
0 0 0 c 0 b
0 0 0 c 0 c
Is it a nice code?: No
Generator Matrix-433
a a a 0 a a
b b b 0 b b
0 c 0 0 0 0
0 0 c 0 0 0
0 0 0 c 0 0
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 0
0 0 0 c c 0
0 0 c 0 0 0
0 0 c 0 c 0
0 0 c c 0 0
0 0 c c c 0
0 c 0 0 0 0
0 c 0 0 c 0
0 c 0 c 0 0
0 c 0 c c 0
0 c c 0 0 0
0 c c 0 c 0
0 c c c 0 0
0 c c c c 0
b b b 0 b b
b b b 0 a b
b b b c b b
b b b c a b
b b a 0 b b
b b a 0 a b
b b a c b b
b b a c a b
b a b 0 b b
b a b 0 a b
b a b c b b
b a b c a b
b a a 0 b b
b a a 0 a b
b a a c b b
b a a c a b
a a a 0 a a
a a a 0 b a
a a a c a a
a a a c b a
a a b 0 a a
a a b 0 b a
a a b c a a
a a b c b a
a b a 0 a a
a b a 0 b a
a b a c a a
a b a c b a
a b b 0 a a
a b b 0 b a
a b b c a a
a b b c b a
c c c 0 c c
c c c 0 0 c
c c c c c c
c c c c 0 c
c c 0 0 c c
c c 0 0 0 c
c c 0 c c c
c c 0 c 0 c
c 0 c 0 c c
c 0 c 0 0 c
c 0 c c c c
c 0 c c 0 c
c 0 0 0 c c
c 0 0 0 0 c
c 0 0 c c c
c 0 0 c 0 c
dmin: 1
Weight Enumerator: 1x0 + 4x1 + 7x2 + 8x3 + 7x4 + 20x5 + 17x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_b)5 + (X_0)1 (X_a)1 (X_b)4 + (X_b)5 (X_c)1 + (X_a)1 (X_b)4 (X_c)1 + (X_0)1 (X_a)1 (X_b)4 + (X_0)1 (X_a)2 (X_b)3 + (X_a)1 (X_b)4 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)4 + (X_0)1 (X_a)2 (X_b)3 + (X_a)1 (X_b)4 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)3 (X_b)2 + (X_a)2 (X_b)3 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)4 (X_b)1 + (X_a)5 (X_c)1 + (X_a)4 (X_b)1 (X_c)1 + (X_0)1 (X_a)4 (X_b)1 + (X_0)1 (X_a)3 (X_b)2 + (X_a)4 (X_b)1 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)4 (X_b)1 + (X_0)1 (X_a)3 (X_b)2 + (X_a)4 (X_b)1 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)2 (X_b)3 + (X_a)3 (X_b)2 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_c)6 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3
Dual Codewords:
0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0
Is it a nice code?: No
Generator Matrix-434
a a a 0 a a
b b b 0 b b
0 c 0 0 0 0
0 0 c 0 0 0
0 0 0 c 0 0
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 0
0 0 0 c c c
0 0 c 0 0 0
0 0 c 0 c c
0 0 c c 0 0
0 0 c c c c
0 c 0 0 0 0
0 c 0 0 c c
0 c 0 c 0 0
0 c 0 c c c
0 c c 0 0 0
0 c c 0 c c
0 c c c 0 0
0 c c c c c
b b b 0 b b
b b b 0 a a
b b b c b b
b b b c a a
b b a 0 b b
b b a 0 a a
b b a c b b
b b a c a a
b a b 0 b b
b a b 0 a a
b a b c b b
b a b c a a
b a a 0 b b
b a a 0 a a
b a a c b b
b a a c a a
a a a 0 a a
a a a 0 b b
a a a c a a
a a a c b b
a a b 0 a a
a a b 0 b b
a a b c a a
a a b c b b
a b a 0 a a
a b a 0 b b
a b a c a a
a b a c b b
a b b 0 a a
a b b 0 b b
a b b c a a
a b b c b b
c c c 0 c c
c c c 0 0 0
c c c c c c
c c c c 0 0
c c 0 0 c c
c c 0 0 0 0
c c 0 c c c
c c 0 c 0 0
c 0 c 0 c c
c 0 c 0 0 0
c 0 c c c c
c 0 c c 0 0
c 0 0 0 c c
c 0 0 0 0 0
c 0 0 c c c
c 0 0 c 0 0
dmin: 1
Weight Enumerator: 1x0 + 4x1 + 7x2 + 8x3 + 7x4 + 20x5 + 17x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)1 (X_b)5 + (X_0)1 (X_a)2 (X_b)3 + (X_b)5 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)4 + (X_0)1 (X_a)3 (X_b)2 + (X_a)1 (X_b)4 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)4 + (X_0)1 (X_a)3 (X_b)2 + (X_a)1 (X_b)4 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)4 (X_b)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)4 (X_b)1 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)3 (X_b)2 + (X_a)5 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)4 (X_b)1 + (X_0)1 (X_a)2 (X_b)3 + (X_a)4 (X_b)1 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)4 (X_b)1 + (X_0)1 (X_a)2 (X_b)3 + (X_a)4 (X_b)1 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)1 (X_b)4 + (X_a)3 (X_b)2 (X_c)1 + (X_a)1 (X_b)4 (X_c)1 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_c)6 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2
Dual Codewords:
0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0
Is it a nice code?: No
Generator Matrix-435
a a a 0 a a
b b b 0 b b
0 c 0 0 0 0
0 0 c 0 0 0
0 0 0 c 0 c
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 c
0 0 0 c c c
0 0 c 0 0 0
0 0 c 0 c 0
0 0 c c 0 c
0 0 c c c c
0 c 0 0 0 0
0 c 0 0 c 0
0 c 0 c 0 c
0 c 0 c c c
0 c c 0 0 0
0 c c 0 c 0
0 c c c 0 c
0 c c c c c
b b b 0 b b
b b b 0 a b
b b b c b a
b b b c a a
b b a 0 b b
b b a 0 a b
b b a c b a
b b a c a a
b a b 0 b b
b a b 0 a b
b a b c b a
b a b c a a
b a a 0 b b
b a a 0 a b
b a a c b a
b a a c a a
a a a 0 a a
a a a 0 b a
a a a c a b
a a a c b b
a a b 0 a a
a a b 0 b a
a a b c a b
a a b c b b
a b a 0 a a
a b a 0 b a
a b a c a b
a b a c b b
a b b 0 a a
a b b 0 b a
a b b c a b
a b b c b b
c c c 0 c c
c c c 0 0 c
c c c c c 0
c c c c 0 0
c c 0 0 c c
c c 0 0 0 c
c c 0 c c 0
c c 0 c 0 0
c 0 c 0 c c
c 0 c 0 0 c
c 0 c c c 0
c 0 c c 0 0
c 0 0 0 c c
c 0 0 0 0 c
c 0 0 c c 0
c 0 0 c 0 0
dmin: 1
Weight Enumerator: 1x0 + 3x1 + 6x2 + 10x3 + 9x4 + 19x5 + 16x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)1 (X_b)5 + (X_0)1 (X_a)1 (X_b)4 + (X_a)1 (X_b)4 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)4 + (X_0)1 (X_a)2 (X_b)3 + (X_a)2 (X_b)3 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)4 + (X_0)1 (X_a)2 (X_b)3 + (X_a)2 (X_b)3 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)3 (X_b)2 + (X_a)3 (X_b)2 (X_c)1 + (X_a)4 (X_b)1 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)4 (X_b)1 + (X_a)4 (X_b)1 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)4 (X_b)1 + (X_0)1 (X_a)3 (X_b)2 + (X_a)3 (X_b)2 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)4 (X_b)1 + (X_0)1 (X_a)3 (X_b)2 + (X_a)3 (X_b)2 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)2 (X_b)3 + (X_a)2 (X_b)3 (X_c)1 + (X_a)1 (X_b)4 (X_c)1 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2
Dual Codewords:
0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0
Is it a nice code?: No
Generator Matrix-436
a a a 0 a a
b b b 0 b b
0 c 0 0 0 0
0 0 c 0 0 0
0 0 0 c 0 c
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 c
0 0 0 c c 0
0 0 c 0 0 0
0 0 c 0 c c
0 0 c c 0 c
0 0 c c c 0
0 c 0 0 0 0
0 c 0 0 c c
0 c 0 c 0 c
0 c 0 c c 0
0 c c 0 0 0
0 c c 0 c c
0 c c c 0 c
0 c c c c 0
b b b 0 b b
b b b 0 a a
b b b c b a
b b b c a b
b b a 0 b b
b b a 0 a a
b b a c b a
b b a c a b
b a b 0 b b
b a b 0 a a
b a b c b a
b a b c a b
b a a 0 b b
b a a 0 a a
b a a c b a
b a a c a b
a a a 0 a a
a a a 0 b b
a a a c a b
a a a c b a
a a b 0 a a
a a b 0 b b
a a b c a b
a a b c b a
a b a 0 a a
a b a 0 b b
a b a c a b
a b a c b a
a b b 0 a a
a b b 0 b b
a b b c a b
a b b c b a
c c c 0 c c
c c c 0 0 0
c c c c c 0
c c c c 0 c
c c 0 0 c c
c c 0 0 0 0
c c 0 c c 0
c c 0 c 0 c
c 0 c 0 c c
c 0 c 0 0 0
c 0 c c c 0
c 0 c c 0 c
c 0 0 0 c c
c 0 0 0 0 0
c 0 0 c c 0
c 0 0 c 0 c
dmin: 1
Weight Enumerator: 1x0 + 3x1 + 6x2 + 10x3 + 9x4 + 19x5 + 16x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_b)5 + (X_0)1 (X_a)2 (X_b)3 + (X_a)1 (X_b)4 (X_c)1 + (X_a)1 (X_b)4 (X_c)1 + (X_0)1 (X_a)1 (X_b)4 + (X_0)1 (X_a)3 (X_b)2 + (X_a)2 (X_b)3 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)4 + (X_0)1 (X_a)3 (X_b)2 + (X_a)2 (X_b)3 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)4 (X_b)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)3 (X_b)2 + (X_a)4 (X_b)1 (X_c)1 + (X_a)4 (X_b)1 (X_c)1 + (X_0)1 (X_a)4 (X_b)1 + (X_0)1 (X_a)2 (X_b)3 + (X_a)3 (X_b)2 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)4 (X_b)1 + (X_0)1 (X_a)2 (X_b)3 + (X_a)3 (X_b)2 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)1 (X_b)4 + (X_a)2 (X_b)3 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3
Dual Codewords:
0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0
Is it a nice code?: No
Generator Matrix-437
a a a 0 a a
b b b 0 b b
0 c 0 0 0 0
0 0 c 0 0 c
0 0 0 c 0 0
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 0
0 0 0 c c 0
0 0 c 0 0 c
0 0 c 0 c c
0 0 c c 0 c
0 0 c c c c
0 c 0 0 0 0
0 c 0 0 c 0
0 c 0 c 0 0
0 c 0 c c 0
0 c c 0 0 c
0 c c 0 c c
0 c c c 0 c
0 c c c c c
b b b 0 b b
b b b 0 a b
b b b c b b
b b b c a b
b b a 0 b a
b b a 0 a a
b b a c b a
b b a c a a
b a b 0 b b
b a b 0 a b
b a b c b b
b a b c a b
b a a 0 b a
b a a 0 a a
b a a c b a
b a a c a a
a a a 0 a a
a a a 0 b a
a a a c a a
a a a c b a
a a b 0 a b
a a b 0 b b
a a b c a b
a a b c b b
a b a 0 a a
a b a 0 b a
a b a c a a
a b a c b a
a b b 0 a b
a b b 0 b b
a b b c a b
a b b c b b
c c c 0 c c
c c c 0 0 c
c c c c c c
c c c c 0 c
c c 0 0 c 0
c c 0 0 0 0
c c 0 c c 0
c c 0 c 0 0
c 0 c 0 c c
c 0 c 0 0 c
c 0 c c c c
c 0 c c 0 c
c 0 0 0 c 0
c 0 0 0 0 0
c 0 0 c c 0
c 0 0 c 0 0
dmin: 1
Weight Enumerator: 1x0 + 4x1 + 7x2 + 8x3 + 7x4 + 20x5 + 17x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)1 (X_b)5 + (X_0)1 (X_a)1 (X_b)4 + (X_b)5 (X_c)1 + (X_a)1 (X_b)4 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)3 (X_b)2 + (X_a)2 (X_b)3 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)4 + (X_0)1 (X_a)2 (X_b)3 + (X_a)1 (X_b)4 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)4 (X_b)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)4 (X_b)1 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)4 (X_b)1 + (X_a)5 (X_c)1 + (X_a)4 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)2 (X_b)3 + (X_a)3 (X_b)2 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)4 (X_b)1 + (X_0)1 (X_a)3 (X_b)2 + (X_a)4 (X_b)1 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)1 (X_b)4 + (X_a)2 (X_b)3 (X_c)1 + (X_a)1 (X_b)4 (X_c)1 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_c)6 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2
Dual Codewords:
0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0
Is it a nice code?: No
Generator Matrix-438
a a a 0 a a
b b b 0 b b
0 c 0 0 0 0
0 0 c 0 0 c
0 0 0 c 0 0
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 0
0 0 0 c c c
0 0 c 0 0 c
0 0 c 0 c 0
0 0 c c 0 c
0 0 c c c 0
0 c 0 0 0 0
0 c 0 0 c c
0 c 0 c 0 0
0 c 0 c c c
0 c c 0 0 c
0 c c 0 c 0
0 c c c 0 c
0 c c c c 0
b b b 0 b b
b b b 0 a a
b b b c b b
b b b c a a
b b a 0 b a
b b a 0 a b
b b a c b a
b b a c a b
b a b 0 b b
b a b 0 a a
b a b c b b
b a b c a a
b a a 0 b a
b a a 0 a b
b a a c b a
b a a c a b
a a a 0 a a
a a a 0 b b
a a a c a a
a a a c b b
a a b 0 a b
a a b 0 b a
a a b c a b
a a b c b a
a b a 0 a a
a b a 0 b b
a b a c a a
a b a c b b
a b b 0 a b
a b b 0 b a
a b b c a b
a b b c b a
c c c 0 c c
c c c 0 0 0
c c c c c c
c c c c 0 0
c c 0 0 c 0
c c 0 0 0 c
c c 0 c c 0
c c 0 c 0 c
c 0 c 0 c c
c 0 c 0 0 0
c 0 c c c c
c 0 c c 0 0
c 0 0 0 c 0
c 0 0 0 0 c
c 0 0 c c 0
c 0 0 c 0 c
dmin: 1
Weight Enumerator: 1x0 + 2x1 + 7x2 + 12x3 + 7x4 + 18x5 + 17x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_b)5 + (X_0)1 (X_a)2 (X_b)3 + (X_b)5 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)2 (X_b)3 + (X_a)2 (X_b)3 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)4 + (X_0)1 (X_a)3 (X_b)2 + (X_a)1 (X_b)4 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)3 (X_b)2 + (X_a)3 (X_b)2 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)3 (X_b)2 + (X_a)5 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)3 (X_b)2 + (X_a)3 (X_b)2 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)4 (X_b)1 + (X_0)1 (X_a)2 (X_b)3 + (X_a)4 (X_b)1 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)2 (X_b)3 + (X_a)2 (X_b)3 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_c)6 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3
Dual Codewords:
0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0
Is it a nice code?: No
Generator Matrix-439
a a a 0 a a
b b b 0 b b
0 c 0 0 0 0
0 0 c 0 0 c
0 0 0 c 0 c
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 c
0 0 0 c c c
0 0 c 0 0 c
0 0 c 0 c c
0 0 c c 0 0
0 0 c c c 0
0 c 0 0 0 0
0 c 0 0 c 0
0 c 0 c 0 c
0 c 0 c c c
0 c c 0 0 c
0 c c 0 c c
0 c c c 0 0
0 c c c c 0
b b b 0 b b
b b b 0 a b
b b b c b a
b b b c a a
b b a 0 b a
b b a 0 a a
b b a c b b
b b a c a b
b a b 0 b b
b a b 0 a b
b a b c b a
b a b c a a
b a a 0 b a
b a a 0 a a
b a a c b b
b a a c a b
a a a 0 a a
a a a 0 b a
a a a c a b
a a a c b b
a a b 0 a b
a a b 0 b b
a a b c a a
a a b c b a
a b a 0 a a
a b a 0 b a
a b a c a b
a b a c b b
a b b 0 a b
a b b 0 b b
a b b c a a
a b b c b a
c c c 0 c c
c c c 0 0 c
c c c c c 0
c c c c 0 0
c c 0 0 c 0
c c 0 0 0 0
c c 0 c c c
c c 0 c 0 c
c 0 c 0 c c
c 0 c 0 0 c
c 0 c c c 0
c 0 c c 0 0
c 0 0 0 c 0
c 0 0 0 0 0
c 0 0 c c c
c 0 0 c 0 c
dmin: 1
Weight Enumerator: 1x0 + 3x1 + 6x2 + 10x3 + 9x4 + 19x5 + 16x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_b)5 + (X_0)1 (X_a)1 (X_b)4 + (X_a)1 (X_b)4 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)3 (X_b)2 + (X_a)1 (X_b)4 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)4 + (X_0)1 (X_a)2 (X_b)3 + (X_a)2 (X_b)3 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)4 (X_b)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)4 (X_b)1 + (X_a)4 (X_b)1 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)2 (X_b)3 + (X_a)4 (X_b)1 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)4 (X_b)1 + (X_0)1 (X_a)3 (X_b)2 + (X_a)3 (X_b)2 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)1 (X_b)4 + (X_a)3 (X_b)2 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3
Dual Codewords:
0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0
Is it a nice code?: No
Generator Matrix-440
a a a 0 a a
b b b 0 b b
0 c 0 0 0 0
0 0 c 0 0 c
0 0 0 c 0 c
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 c
0 0 0 c c 0
0 0 c 0 0 c
0 0 c 0 c 0
0 0 c c 0 0
0 0 c c c c
0 c 0 0 0 0
0 c 0 0 c c
0 c 0 c 0 c
0 c 0 c c 0
0 c c 0 0 c
0 c c 0 c 0
0 c c c 0 0
0 c c c c c
b b b 0 b b
b b b 0 a a
b b b c b a
b b b c a b
b b a 0 b a
b b a 0 a b
b b a c b b
b b a c a a
b a b 0 b b
b a b 0 a a
b a b c b a
b a b c a b
b a a 0 b a
b a a 0 a b
b a a c b b
b a a c a a
a a a 0 a a
a a a 0 b b
a a a c a b
a a a c b a
a a b 0 a b
a a b 0 b a
a a b c a a
a a b c b b
a b a 0 a a
a b a 0 b b
a b a c a b
a b a c b a
a b b 0 a b
a b b 0 b a
a b b c a a
a b b c b b
c c c 0 c c
c c c 0 0 0
c c c c c 0
c c c c 0 c
c c 0 0 c 0
c c 0 0 0 c
c c 0 c c c
c c 0 c 0 0
c 0 c 0 c c
c 0 c 0 0 0
c 0 c c c 0
c 0 c c 0 c
c 0 0 0 c 0
c 0 0 0 0 c
c 0 0 c c c
c 0 0 c 0 0
dmin: 1
Weight Enumerator: 1x0 + 1x1 + 10x2 + 10x3 + 5x4 + 21x5 + 16x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)1 (X_b)5 + (X_0)1 (X_a)2 (X_b)3 + (X_a)1 (X_b)4 (X_c)1 + (X_a)1 (X_b)4 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)2 (X_b)3 + (X_a)1 (X_b)4 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)4 + (X_0)1 (X_a)3 (X_b)2 + (X_a)2 (X_b)3 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)3 (X_b)2 + (X_a)2 (X_b)3 (X_c)1 + (X_a)4 (X_b)1 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)3 (X_b)2 + (X_a)4 (X_b)1 (X_c)1 + (X_a)4 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)3 (X_b)2 + (X_a)4 (X_b)1 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)4 (X_b)1 + (X_0)1 (X_a)2 (X_b)3 + (X_a)3 (X_b)2 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)2 (X_b)3 + (X_a)3 (X_b)2 (X_c)1 + (X_a)1 (X_b)4 (X_c)1 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2
Dual Codewords:
0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0
Is it a nice code?: No
Generator Matrix-441
a a a 0 a a
b b b 0 b b
0 c 0 0 0 c
0 0 c 0 0 0
0 0 0 c 0 0
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 0
0 0 0 c c 0
0 0 c 0 0 0
0 0 c 0 c 0
0 0 c c 0 0
0 0 c c c 0
0 c 0 0 0 c
0 c 0 0 c c
0 c 0 c 0 c
0 c 0 c c c
0 c c 0 0 c
0 c c 0 c c
0 c c c 0 c
0 c c c c c
b b b 0 b b
b b b 0 a b
b b b c b b
b b b c a b
b b a 0 b b
b b a 0 a b
b b a c b b
b b a c a b
b a b 0 b a
b a b 0 a a
b a b c b a
b a b c a a
b a a 0 b a
b a a 0 a a
b a a c b a
b a a c a a
a a a 0 a a
a a a 0 b a
a a a c a a
a a a c b a
a a b 0 a a
a a b 0 b a
a a b c a a
a a b c b a
a b a 0 a b
a b a 0 b b
a b a c a b
a b a c b b
a b b 0 a b
a b b 0 b b
a b b c a b
a b b c b b
c c c 0 c c
c c c 0 0 c
c c c c c c
c c c c 0 c
c c 0 0 c c
c c 0 0 0 c
c c 0 c c c
c c 0 c 0 c
c 0 c 0 c 0
c 0 c 0 0 0
c 0 c c c 0
c 0 c c 0 0
c 0 0 0 c 0
c 0 0 0 0 0
c 0 0 c c 0
c 0 0 c 0 0
dmin: 1
Weight Enumerator: 1x0 + 4x1 + 7x2 + 8x3 + 7x4 + 20x5 + 17x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)1 (X_b)5 + (X_0)1 (X_a)1 (X_b)4 + (X_b)5 (X_c)1 + (X_a)1 (X_b)4 (X_c)1 + (X_0)1 (X_a)1 (X_b)4 + (X_0)1 (X_a)2 (X_b)3 + (X_a)1 (X_b)4 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)3 (X_b)2 + (X_a)2 (X_b)3 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)4 (X_b)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)4 (X_b)1 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)4 (X_b)1 + (X_a)5 (X_c)1 + (X_a)4 (X_b)1 (X_c)1 + (X_0)1 (X_a)4 (X_b)1 + (X_0)1 (X_a)3 (X_b)2 + (X_a)4 (X_b)1 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)2 (X_b)3 + (X_a)3 (X_b)2 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)1 (X_b)4 + (X_a)2 (X_b)3 (X_c)1 + (X_a)1 (X_b)4 (X_c)1 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_c)6 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2
Dual Codewords:
0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0
Is it a nice code?: No
Generator Matrix-442
a a a 0 a a
b b b 0 b b
0 c 0 0 0 c
0 0 c 0 0 0
0 0 0 c 0 0
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 0
0 0 0 c c c
0 0 c 0 0 0
0 0 c 0 c c
0 0 c c 0 0
0 0 c c c c
0 c 0 0 0 c
0 c 0 0 c 0
0 c 0 c 0 c
0 c 0 c c 0
0 c c 0 0 c
0 c c 0 c 0
0 c c c 0 c
0 c c c c 0
b b b 0 b b
b b b 0 a a
b b b c b b
b b b c a a
b b a 0 b b
b b a 0 a a
b b a c b b
b b a c a a
b a b 0 b a
b a b 0 a b
b a b c b a
b a b c a b
b a a 0 b a
b a a 0 a b
b a a c b a
b a a c a b
a a a 0 a a
a a a 0 b b
a a a c a a
a a a c b b
a a b 0 a a
a a b 0 b b
a a b c a a
a a b c b b
a b a 0 a b
a b a 0 b a
a b a c a b
a b a c b a
a b b 0 a b
a b b 0 b a
a b b c a b
a b b c b a
c c c 0 c c
c c c 0 0 0
c c c c c c
c c c c 0 0
c c 0 0 c c
c c 0 0 0 0
c c 0 c c c
c c 0 c 0 0
c 0 c 0 c 0
c 0 c 0 0 c
c 0 c c c 0
c 0 c c 0 c
c 0 0 0 c 0
c 0 0 0 0 c
c 0 0 c c 0
c 0 0 c 0 c
dmin: 1
Weight Enumerator: 1x0 + 2x1 + 7x2 + 12x3 + 7x4 + 18x5 + 17x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_b)5 + (X_0)1 (X_a)2 (X_b)3 + (X_b)5 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)4 + (X_0)1 (X_a)3 (X_b)2 + (X_a)1 (X_b)4 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)2 (X_b)3 + (X_a)2 (X_b)3 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)3 (X_b)2 + (X_a)3 (X_b)2 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)3 (X_b)2 + (X_a)5 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)4 (X_b)1 + (X_0)1 (X_a)2 (X_b)3 + (X_a)4 (X_b)1 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)3 (X_b)2 + (X_a)3 (X_b)2 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)2 (X_b)3 + (X_a)2 (X_b)3 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_c)6 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3
Dual Codewords:
0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0
Is it a nice code?: No
Generator Matrix-443
a a a 0 a a
b b b 0 b b
0 c 0 0 0 c
0 0 c 0 0 0
0 0 0 c 0 c
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 c
0 0 0 c c c
0 0 c 0 0 0
0 0 c 0 c 0
0 0 c c 0 c
0 0 c c c c
0 c 0 0 0 c
0 c 0 0 c c
0 c 0 c 0 0
0 c 0 c c 0
0 c c 0 0 c
0 c c 0 c c
0 c c c 0 0
0 c c c c 0
b b b 0 b b
b b b 0 a b
b b b c b a
b b b c a a
b b a 0 b b
b b a 0 a b
b b a c b a
b b a c a a
b a b 0 b a
b a b 0 a a
b a b c b b
b a b c a b
b a a 0 b a
b a a 0 a a
b a a c b b
b a a c a b
a a a 0 a a
a a a 0 b a
a a a c a b
a a a c b b
a a b 0 a a
a a b 0 b a
a a b c a b
a a b c b b
a b a 0 a b
a b a 0 b b
a b a c a a
a b a c b a
a b b 0 a b
a b b 0 b b
a b b c a a
a b b c b a
c c c 0 c c
c c c 0 0 c
c c c c c 0
c c c c 0 0
c c 0 0 c c
c c 0 0 0 c
c c 0 c c 0
c c 0 c 0 0
c 0 c 0 c 0
c 0 c 0 0 0
c 0 c c c c
c 0 c c 0 c
c 0 0 0 c 0
c 0 0 0 0 0
c 0 0 c c c
c 0 0 c 0 c
dmin: 1
Weight Enumerator: 1x0 + 3x1 + 6x2 + 10x3 + 9x4 + 19x5 + 16x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_b)5 + (X_0)1 (X_a)1 (X_b)4 + (X_a)1 (X_b)4 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)4 + (X_0)1 (X_a)2 (X_b)3 + (X_a)2 (X_b)3 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)3 (X_b)2 + (X_a)1 (X_b)4 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)4 (X_b)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)4 (X_b)1 + (X_a)4 (X_b)1 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)4 (X_b)1 + (X_0)1 (X_a)3 (X_b)2 + (X_a)3 (X_b)2 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)2 (X_b)3 + (X_a)4 (X_b)1 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)1 (X_b)4 + (X_a)3 (X_b)2 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3
Dual Codewords:
0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0
Is it a nice code?: No
Generator Matrix-444
a a a 0 a a
b b b 0 b b
0 c 0 0 0 c
0 0 c 0 0 0
0 0 0 c 0 c
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 c
0 0 0 c c 0
0 0 c 0 0 0
0 0 c 0 c c
0 0 c c 0 c
0 0 c c c 0
0 c 0 0 0 c
0 c 0 0 c 0
0 c 0 c 0 0
0 c 0 c c c
0 c c 0 0 c
0 c c 0 c 0
0 c c c 0 0
0 c c c c c
b b b 0 b b
b b b 0 a a
b b b c b a
b b b c a b
b b a 0 b b
b b a 0 a a
b b a c b a
b b a c a b
b a b 0 b a
b a b 0 a b
b a b c b b
b a b c a a
b a a 0 b a
b a a 0 a b
b a a c b b
b a a c a a
a a a 0 a a
a a a 0 b b
a a a c a b
a a a c b a
a a b 0 a a
a a b 0 b b
a a b c a b
a a b c b a
a b a 0 a b
a b a 0 b a
a b a c a a
a b a c b b
a b b 0 a b
a b b 0 b a
a b b c a a
a b b c b b
c c c 0 c c
c c c 0 0 0
c c c c c 0
c c c c 0 c
c c 0 0 c c
c c 0 0 0 0
c c 0 c c 0
c c 0 c 0 c
c 0 c 0 c 0
c 0 c 0 0 c
c 0 c c c c
c 0 c c 0 0
c 0 0 0 c 0
c 0 0 0 0 c
c 0 0 c c c
c 0 0 c 0 0
dmin: 1
Weight Enumerator: 1x0 + 1x1 + 10x2 + 10x3 + 5x4 + 21x5 + 16x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)1 (X_b)5 + (X_0)1 (X_a)2 (X_b)3 + (X_a)1 (X_b)4 (X_c)1 + (X_a)1 (X_b)4 (X_c)1 + (X_0)1 (X_a)1 (X_b)4 + (X_0)1 (X_a)3 (X_b)2 + (X_a)2 (X_b)3 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)2 (X_b)3 + (X_a)1 (X_b)4 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)3 (X_b)2 + (X_a)2 (X_b)3 (X_c)1 + (X_a)4 (X_b)1 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)3 (X_b)2 + (X_a)4 (X_b)1 (X_c)1 + (X_a)4 (X_b)1 (X_c)1 + (X_0)1 (X_a)4 (X_b)1 + (X_0)1 (X_a)2 (X_b)3 + (X_a)3 (X_b)2 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)3 (X_b)2 + (X_a)4 (X_b)1 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)2 (X_b)3 + (X_a)3 (X_b)2 (X_c)1 + (X_a)1 (X_b)4 (X_c)1 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2
Dual Codewords:
0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0
Is it a nice code?: No
Generator Matrix-445
a a a 0 a a
b b b 0 b b
0 c 0 0 0 c
0 0 c 0 0 c
0 0 0 c 0 0
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 0
0 0 0 c c 0
0 0 c 0 0 c
0 0 c 0 c c
0 0 c c 0 c
0 0 c c c c
0 c 0 0 0 c
0 c 0 0 c c
0 c 0 c 0 c
0 c 0 c c c
0 c c 0 0 0
0 c c 0 c 0
0 c c c 0 0
0 c c c c 0
b b b 0 b b
b b b 0 a b
b b b c b b
b b b c a b
b b a 0 b a
b b a 0 a a
b b a c b a
b b a c a a
b a b 0 b a
b a b 0 a a
b a b c b a
b a b c a a
b a a 0 b b
b a a 0 a b
b a a c b b
b a a c a b
a a a 0 a a
a a a 0 b a
a a a c a a
a a a c b a
a a b 0 a b
a a b 0 b b
a a b c a b
a a b c b b
a b a 0 a b
a b a 0 b b
a b a c a b
a b a c b b
a b b 0 a a
a b b 0 b a
a b b c a a
a b b c b a
c c c 0 c c
c c c 0 0 c
c c c c c c
c c c c 0 c
c c 0 0 c 0
c c 0 0 0 0
c c 0 c c 0
c c 0 c 0 0
c 0 c 0 c 0
c 0 c 0 0 0
c 0 c c c 0
c 0 c c 0 0
c 0 0 0 c c
c 0 0 0 0 c
c 0 0 c c c
c 0 0 c 0 c
dmin: 1
Weight Enumerator: 1x0 + 2x1 + 7x2 + 12x3 + 7x4 + 18x5 + 17x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_b)5 + (X_0)1 (X_a)1 (X_b)4 + (X_b)5 (X_c)1 + (X_a)1 (X_b)4 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)3 (X_b)2 + (X_a)2 (X_b)3 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)3 (X_b)2 + (X_a)2 (X_b)3 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)3 (X_b)2 + (X_a)2 (X_b)3 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)4 (X_b)1 + (X_a)5 (X_c)1 + (X_a)4 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)2 (X_b)3 + (X_a)3 (X_b)2 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)2 (X_b)3 + (X_a)3 (X_b)2 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)2 (X_b)3 + (X_a)3 (X_b)2 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_c)6 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3
Dual Codewords:
0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0
Is it a nice code?: No
Generator Matrix-446
a a a 0 a a
b b b 0 b b
0 c 0 0 0 c
0 0 c 0 0 c
0 0 0 c 0 0
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 0
0 0 0 c c c
0 0 c 0 0 c
0 0 c 0 c 0
0 0 c c 0 c
0 0 c c c 0
0 c 0 0 0 c
0 c 0 0 c 0
0 c 0 c 0 c
0 c 0 c c 0
0 c c 0 0 0
0 c c 0 c c
0 c c c 0 0
0 c c c c c
b b b 0 b b
b b b 0 a a
b b b c b b
b b b c a a
b b a 0 b a
b b a 0 a b
b b a c b a
b b a c a b
b a b 0 b a
b a b 0 a b
b a b c b a
b a b c a b
b a a 0 b b
b a a 0 a a
b a a c b b
b a a c a a
a a a 0 a a
a a a 0 b b
a a a c a a
a a a c b b
a a b 0 a b
a a b 0 b a
a a b c a b
a a b c b a
a b a 0 a b
a b a 0 b a
a b a c a b
a b a c b a
a b b 0 a a
a b b 0 b b
a b b c a a
a b b c b b
c c c 0 c c
c c c 0 0 0
c c c c c c
c c c c 0 0
c c 0 0 c 0
c c 0 0 0 c
c c 0 c c 0
c c 0 c 0 c
c 0 c 0 c 0
c 0 c 0 0 c
c 0 c c c 0
c 0 c c 0 c
c 0 0 0 c c
c 0 0 0 0 0
c 0 0 c c c
c 0 0 c 0 0
dmin: 1
Weight Enumerator: 1x0 + 2x1 + 7x2 + 12x3 + 7x4 + 18x5 + 17x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)1 (X_b)5 + (X_0)1 (X_a)2 (X_b)3 + (X_b)5 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)2 (X_b)3 + (X_a)2 (X_b)3 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)2 (X_b)3 + (X_a)2 (X_b)3 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)4 (X_b)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)4 (X_b)1 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)3 (X_b)2 + (X_a)5 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)3 (X_b)2 + (X_a)3 (X_b)2 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)3 (X_b)2 + (X_a)3 (X_b)2 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)1 (X_b)4 + (X_a)3 (X_b)2 (X_c)1 + (X_a)1 (X_b)4 (X_c)1 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_c)6 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2
Dual Codewords:
0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0
Is it a nice code?: No
Generator Matrix-447
a a a 0 a a
b b b 0 b b
0 c 0 0 0 c
0 0 c 0 0 c
0 0 0 c 0 c
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 c
0 0 0 c c c
0 0 c 0 0 c
0 0 c 0 c c
0 0 c c 0 0
0 0 c c c 0
0 c 0 0 0 c
0 c 0 0 c c
0 c 0 c 0 0
0 c 0 c c 0
0 c c 0 0 0
0 c c 0 c 0
0 c c c 0 c
0 c c c c c
b b b 0 b b
b b b 0 a b
b b b c b a
b b b c a a
b b a 0 b a
b b a 0 a a
b b a c b b
b b a c a b
b a b 0 b a
b a b 0 a a
b a b c b b
b a b c a b
b a a 0 b b
b a a 0 a b
b a a c b a
b a a c a a
a a a 0 a a
a a a 0 b a
a a a c a b
a a a c b b
a a b 0 a b
a a b 0 b b
a a b c a a
a a b c b a
a b a 0 a b
a b a 0 b b
a b a c a a
a b a c b a
a b b 0 a a
a b b 0 b a
a b b c a b
a b b c b b
c c c 0 c c
c c c 0 0 c
c c c c c 0
c c c c 0 0
c c 0 0 c 0
c c 0 0 0 0
c c 0 c c c
c c 0 c 0 c
c 0 c 0 c 0
c 0 c 0 0 0
c 0 c c c c
c 0 c c 0 c
c 0 0 0 c c
c 0 0 0 0 c
c 0 0 c c 0
c 0 0 c 0 0
dmin: 1
Weight Enumerator: 1x0 + 1x1 + 10x2 + 10x3 + 5x4 + 21x5 + 16x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)1 (X_b)5 + (X_0)1 (X_a)1 (X_b)4 + (X_a)1 (X_b)4 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)3 (X_b)2 + (X_a)1 (X_b)4 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)3 (X_b)2 + (X_a)1 (X_b)4 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)3 (X_b)2 + (X_a)3 (X_b)2 (X_c)1 + (X_a)4 (X_b)1 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)4 (X_b)1 + (X_a)4 (X_b)1 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)2 (X_b)3 + (X_a)4 (X_b)1 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)2 (X_b)3 + (X_a)4 (X_b)1 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)2 (X_b)3 + (X_a)2 (X_b)3 (X_c)1 + (X_a)1 (X_b)4 (X_c)1 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2
Dual Codewords:
0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0
Is it a nice code?: No
Generator Matrix-448
a a a 0 a a
b b b 0 b b
0 c 0 0 0 c
0 0 c 0 0 c
0 0 0 c 0 c
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 c
0 0 0 c c 0
0 0 c 0 0 c
0 0 c 0 c 0
0 0 c c 0 0
0 0 c c c c
0 c 0 0 0 c
0 c 0 0 c 0
0 c 0 c 0 0
0 c 0 c c c
0 c c 0 0 0
0 c c 0 c c
0 c c c 0 c
0 c c c c 0
b b b 0 b b
b b b 0 a a
b b b c b a
b b b c a b
b b a 0 b a
b b a 0 a b
b b a c b b
b b a c a a
b a b 0 b a
b a b 0 a b
b a b c b b
b a b c a a
b a a 0 b b
b a a 0 a a
b a a c b a
b a a c a b
a a a 0 a a
a a a 0 b b
a a a c a b
a a a c b a
a a b 0 a b
a a b 0 b a
a a b c a a
a a b c b b
a b a 0 a b
a b a 0 b a
a b a c a a
a b a c b b
a b b 0 a a
a b b 0 b b
a b b c a b
a b b c b a
c c c 0 c c
c c c 0 0 0
c c c c c 0
c c c c 0 c
c c 0 0 c 0
c c 0 0 0 c
c c 0 c c c
c c 0 c 0 0
c 0 c 0 c 0
c 0 c 0 0 c
c 0 c c c c
c 0 c c 0 0
c 0 0 0 c c
c 0 0 0 0 0
c 0 0 c c 0
c 0 0 c 0 c
dmin: 1
Weight Enumerator: 1x0 + 1x1 + 10x2 + 10x3 + 5x4 + 21x5 + 16x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_b)5 + (X_0)1 (X_a)2 (X_b)3 + (X_a)1 (X_b)4 (X_c)1 + (X_a)1 (X_b)4 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)2 (X_b)3 + (X_a)1 (X_b)4 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)2 (X_b)3 + (X_a)1 (X_b)4 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)4 (X_b)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)3 (X_b)2 + (X_a)4 (X_b)1 (X_c)1 + (X_a)4 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)3 (X_b)2 + (X_a)4 (X_b)1 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)3 (X_b)2 + (X_a)4 (X_b)1 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)1 (X_b)4 + (X_a)2 (X_b)3 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3
Dual Codewords:
0 0 0 0 0 0
0 0 0 a 0 0
0 0 0 b 0 0
0 0 0 c 0 0
Is it a nice code?: No
Generator Matrix-449
a a a a 0 0
b b b b 0 0
0 c 0 0 0 0
0 0 c 0 0 0
0 0 0 c 0 0
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 0
0 0 0 c c 0
0 0 c 0 0 0
0 0 c 0 c 0
0 0 c c 0 0
0 0 c c c 0
0 c 0 0 0 0
0 c 0 0 c 0
0 c 0 c 0 0
0 c 0 c c 0
0 c c 0 0 0
0 c c 0 c 0
0 c c c 0 0
0 c c c c 0
b b b b 0 0
b b b b c 0
b b b a 0 0
b b b a c 0
b b a b 0 0
b b a b c 0
b b a a 0 0
b b a a c 0
b a b b 0 0
b a b b c 0
b a b a 0 0
b a b a c 0
b a a b 0 0
b a a b c 0
b a a a 0 0
b a a a c 0
a a a a 0 0
a a a a c 0
a a a b 0 0
a a a b c 0
a a b a 0 0
a a b a c 0
a a b b 0 0
a a b b c 0
a b a a 0 0
a b a a c 0
a b a b 0 0
a b a b c 0
a b b a 0 0
a b b a c 0
a b b b 0 0
a b b b c 0
c c c c 0 0
c c c c c 0
c c c 0 0 0
c c c 0 c 0
c c 0 c 0 0
c c 0 c c 0
c c 0 0 0 0
c c 0 0 c 0
c 0 c c 0 0
c 0 c c c 0
c 0 c 0 0 0
c 0 c 0 c 0
c 0 0 c 0 0
c 0 0 c c 0
c 0 0 0 0 0
c 0 0 0 c 0
dmin: 1
Weight Enumerator: 1x0 + 5x1 + 10x2 + 10x3 + 21x4 + 17x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_b)4 + (X_0)1 (X_b)4 (X_c)1 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)4 (X_c)1 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c
Is it a nice code?: No
Generator Matrix-450
a a a a 0 0
b b b b 0 0
0 c 0 0 0 0
0 0 c 0 0 0
0 0 0 c 0 0
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 0
0 0 0 c c c
0 0 c 0 0 0
0 0 c 0 c c
0 0 c c 0 0
0 0 c c c c
0 c 0 0 0 0
0 c 0 0 c c
0 c 0 c 0 0
0 c 0 c c c
0 c c 0 0 0
0 c c 0 c c
0 c c c 0 0
0 c c c c c
b b b b 0 0
b b b b c c
b b b a 0 0
b b b a c c
b b a b 0 0
b b a b c c
b b a a 0 0
b b a a c c
b a b b 0 0
b a b b c c
b a b a 0 0
b a b a c c
b a a b 0 0
b a a b c c
b a a a 0 0
b a a a c c
a a a a 0 0
a a a a c c
a a a b 0 0
a a a b c c
a a b a 0 0
a a b a c c
a a b b 0 0
a a b b c c
a b a a 0 0
a b a a c c
a b a b 0 0
a b a b c c
a b b a 0 0
a b b a c c
a b b b 0 0
a b b b c c
c c c c 0 0
c c c c c c
c c c 0 0 0
c c c 0 c c
c c 0 c 0 0
c c 0 c c c
c c 0 0 0 0
c c 0 0 c c
c 0 c c 0 0
c 0 c c c c
c 0 c 0 0 0
c 0 c 0 c c
c 0 0 c 0 0
c 0 0 c c c
c 0 0 0 0 0
c 0 0 0 c c
dmin: 1
Weight Enumerator: 1x0 + 4x1 + 7x2 + 8x3 + 23x4 + 4x5 + 17x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)2 (X_b)4 + (X_b)4 (X_c)2 + (X_0)2 (X_a)1 (X_b)3 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)1 (X_b)3 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)3 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)3 (X_b)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)4 + (X_a)4 (X_c)2 + (X_0)2 (X_a)3 (X_b)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)3 (X_b)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)3 (X_b)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)3 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_c)4 + (X_c)6 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c
Is it a nice code?: No
Generator Matrix-451
a a a a 0 0
b b b b 0 0
0 c 0 0 0 0
0 0 c 0 0 0
0 0 0 c 0 c
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 c
0 0 0 c c c
0 0 c 0 0 0
0 0 c 0 c 0
0 0 c c 0 c
0 0 c c c c
0 c 0 0 0 0
0 c 0 0 c 0
0 c 0 c 0 c
0 c 0 c c c
0 c c 0 0 0
0 c c 0 c 0
0 c c c 0 c
0 c c c c c
b b b b 0 0
b b b b c 0
b b b a 0 c
b b b a c c
b b a b 0 0
b b a b c 0
b b a a 0 c
b b a a c c
b a b b 0 0
b a b b c 0
b a b a 0 c
b a b a c c
b a a b 0 0
b a a b c 0
b a a a 0 c
b a a a c c
a a a a 0 0
a a a a c 0
a a a b 0 c
a a a b c c
a a b a 0 0
a a b a c 0
a a b b 0 c
a a b b c c
a b a a 0 0
a b a a c 0
a b a b 0 c
a b a b c c
a b b a 0 0
a b b a c 0
a b b b 0 c
a b b b c c
c c c c 0 0
c c c c c 0
c c c 0 0 c
c c c 0 c c
c c 0 c 0 0
c c 0 c c 0
c c 0 0 0 c
c c 0 0 c c
c 0 c c 0 0
c 0 c c c 0
c 0 c 0 0 c
c 0 c 0 c c
c 0 0 c 0 0
c 0 0 c c 0
c 0 0 0 0 c
c 0 0 0 c c
dmin: 1
Weight Enumerator: 1x0 + 3x1 + 6x2 + 10x3 + 17x4 + 19x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)2 (X_b)4 + (X_0)1 (X_b)4 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)4 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c
Is it a nice code?: No
Generator Matrix-452
a a a a 0 0
b b b b 0 0
0 c 0 0 0 0
0 0 c 0 0 0
0 0 0 c 0 c
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 c
0 0 0 c c 0
0 0 c 0 0 0
0 0 c 0 c c
0 0 c c 0 c
0 0 c c c 0
0 c 0 0 0 0
0 c 0 0 c c
0 c 0 c 0 c
0 c 0 c c 0
0 c c 0 0 0
0 c c 0 c c
0 c c c 0 c
0 c c c c 0
b b b b 0 0
b b b b c c
b b b a 0 c
b b b a c 0
b b a b 0 0
b b a b c c
b b a a 0 c
b b a a c 0
b a b b 0 0
b a b b c c
b a b a 0 c
b a b a c 0
b a a b 0 0
b a a b c c
b a a a 0 c
b a a a c 0
a a a a 0 0
a a a a c c
a a a b 0 c
a a a b c 0
a a b a 0 0
a a b a c c
a a b b 0 c
a a b b c 0
a b a a 0 0
a b a a c c
a b a b 0 c
a b a b c 0
a b b a 0 0
a b b a c c
a b b b 0 c
a b b b c 0
c c c c 0 0
c c c c c c
c c c 0 0 c
c c c 0 c 0
c c 0 c 0 0
c c 0 c c c
c c 0 0 0 c
c c 0 0 c 0
c 0 c c 0 0
c 0 c c c c
c 0 c 0 0 c
c 0 c 0 c 0
c 0 0 c 0 0
c 0 0 c c c
c 0 0 0 0 c
c 0 0 0 c 0
dmin: 1
Weight Enumerator: 1x0 + 2x1 + 7x2 + 12x3 + 15x4 + 18x5 + 9x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_b)4 + (X_b)4 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)1 (X_b)3 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)3 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)4 + (X_a)4 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)3 (X_b)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)3 (X_b)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_c)4 + (X_c)6 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c
Is it a nice code?: No
Generator Matrix-453
a a a a 0 0
b b b b 0 0
0 c 0 0 0 0
0 0 c 0 0 c
0 0 0 c 0 0
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 0
0 0 0 c c 0
0 0 c 0 0 c
0 0 c 0 c c
0 0 c c 0 c
0 0 c c c c
0 c 0 0 0 0
0 c 0 0 c 0
0 c 0 c 0 0
0 c 0 c c 0
0 c c 0 0 c
0 c c 0 c c
0 c c c 0 c
0 c c c c c
b b b b 0 0
b b b b c 0
b b b a 0 0
b b b a c 0
b b a b 0 c
b b a b c c
b b a a 0 c
b b a a c c
b a b b 0 0
b a b b c 0
b a b a 0 0
b a b a c 0
b a a b 0 c
b a a b c c
b a a a 0 c
b a a a c c
a a a a 0 0
a a a a c 0
a a a b 0 0
a a a b c 0
a a b a 0 c
a a b a c c
a a b b 0 c
a a b b c c
a b a a 0 0
a b a a c 0
a b a b 0 0
a b a b c 0
a b b a 0 c
a b b a c c
a b b b 0 c
a b b b c c
c c c c 0 0
c c c c c 0
c c c 0 0 0
c c c 0 c 0
c c 0 c 0 c
c c 0 c c c
c c 0 0 0 c
c c 0 0 c c
c 0 c c 0 0
c 0 c c c 0
c 0 c 0 0 0
c 0 c 0 c 0
c 0 0 c 0 c
c 0 0 c c c
c 0 0 0 0 c
c 0 0 0 c c
dmin: 1
Weight Enumerator: 1x0 + 3x1 + 6x2 + 10x3 + 17x4 + 19x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)2 (X_b)4 + (X_0)1 (X_b)4 (X_c)1 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)4 (X_c)1 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c
Is it a nice code?: No
Generator Matrix-454
a a a a 0 0
b b b b 0 0
0 c 0 0 0 0
0 0 c 0 0 c
0 0 0 c 0 0
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 0
0 0 0 c c c
0 0 c 0 0 c
0 0 c 0 c 0
0 0 c c 0 c
0 0 c c c 0
0 c 0 0 0 0
0 c 0 0 c c
0 c 0 c 0 0
0 c 0 c c c
0 c c 0 0 c
0 c c 0 c 0
0 c c c 0 c
0 c c c c 0
b b b b 0 0
b b b b c c
b b b a 0 0
b b b a c c
b b a b 0 c
b b a b c 0
b b a a 0 c
b b a a c 0
b a b b 0 0
b a b b c c
b a b a 0 0
b a b a c c
b a a b 0 c
b a a b c 0
b a a a 0 c
b a a a c 0
a a a a 0 0
a a a a c c
a a a b 0 0
a a a b c c
a a b a 0 c
a a b a c 0
a a b b 0 c
a a b b c 0
a b a a 0 0
a b a a c c
a b a b 0 0
a b a b c c
a b b a 0 c
a b b a c 0
a b b b 0 c
a b b b c 0
c c c c 0 0
c c c c c c
c c c 0 0 0
c c c 0 c c
c c 0 c 0 c
c c 0 c c 0
c c 0 0 0 c
c c 0 0 c 0
c 0 c c 0 0
c 0 c c c c
c 0 c 0 0 0
c 0 c 0 c c
c 0 0 c 0 c
c 0 0 c c 0
c 0 0 0 0 c
c 0 0 0 c 0
dmin: 1
Weight Enumerator: 1x0 + 2x1 + 7x2 + 12x3 + 15x4 + 18x5 + 9x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_b)4 + (X_b)4 (X_c)2 + (X_0)2 (X_a)1 (X_b)3 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)3 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)4 + (X_a)4 (X_c)2 + (X_0)2 (X_a)3 (X_b)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)3 (X_b)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_c)4 + (X_c)6 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c
Is it a nice code?: No
Generator Matrix-455
a a a a 0 0
b b b b 0 0
0 c 0 0 0 0
0 0 c 0 0 c
0 0 0 c 0 c
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 c
0 0 0 c c c
0 0 c 0 0 c
0 0 c 0 c c
0 0 c c 0 0
0 0 c c c 0
0 c 0 0 0 0
0 c 0 0 c 0
0 c 0 c 0 c
0 c 0 c c c
0 c c 0 0 c
0 c c 0 c c
0 c c c 0 0
0 c c c c 0
b b b b 0 0
b b b b c 0
b b b a 0 c
b b b a c c
b b a b 0 c
b b a b c c
b b a a 0 0
b b a a c 0
b a b b 0 0
b a b b c 0
b a b a 0 c
b a b a c c
b a a b 0 c
b a a b c c
b a a a 0 0
b a a a c 0
a a a a 0 0
a a a a c 0
a a a b 0 c
a a a b c c
a a b a 0 c
a a b a c c
a a b b 0 0
a a b b c 0
a b a a 0 0
a b a a c 0
a b a b 0 c
a b a b c c
a b b a 0 c
a b b a c c
a b b b 0 0
a b b b c 0
c c c c 0 0
c c c c c 0
c c c 0 0 c
c c c 0 c c
c c 0 c 0 c
c c 0 c c c
c c 0 0 0 0
c c 0 0 c 0
c 0 c c 0 0
c 0 c c c 0
c 0 c 0 0 c
c 0 c 0 c c
c 0 0 c 0 c
c 0 0 c c c
c 0 0 0 0 0
c 0 0 0 c 0
dmin: 1
Weight Enumerator: 1x0 + 3x1 + 6x2 + 10x3 + 17x4 + 19x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_b)4 + (X_0)1 (X_b)4 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)4 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c
Is it a nice code?: No
Generator Matrix-456
a a a a 0 0
b b b b 0 0
0 c 0 0 0 0
0 0 c 0 0 c
0 0 0 c 0 c
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 c
0 0 0 c c 0
0 0 c 0 0 c
0 0 c 0 c 0
0 0 c c 0 0
0 0 c c c c
0 c 0 0 0 0
0 c 0 0 c c
0 c 0 c 0 c
0 c 0 c c 0
0 c c 0 0 c
0 c c 0 c 0
0 c c c 0 0
0 c c c c c
b b b b 0 0
b b b b c c
b b b a 0 c
b b b a c 0
b b a b 0 c
b b a b c 0
b b a a 0 0
b b a a c c
b a b b 0 0
b a b b c c
b a b a 0 c
b a b a c 0
b a a b 0 c
b a a b c 0
b a a a 0 0
b a a a c c
a a a a 0 0
a a a a c c
a a a b 0 c
a a a b c 0
a a b a 0 c
a a b a c 0
a a b b 0 0
a a b b c c
a b a a 0 0
a b a a c c
a b a b 0 c
a b a b c 0
a b b a 0 c
a b b a c 0
a b b b 0 0
a b b b c c
c c c c 0 0
c c c c c c
c c c 0 0 c
c c c 0 c 0
c c 0 c 0 c
c c 0 c c 0
c c 0 0 0 0
c c 0 0 c c
c 0 c c 0 0
c 0 c c c c
c 0 c 0 0 c
c 0 c 0 c 0
c 0 0 c 0 c
c 0 0 c c 0
c 0 0 0 0 0
c 0 0 0 c c
dmin: 1
Weight Enumerator: 1x0 + 2x1 + 7x2 + 12x3 + 15x4 + 18x5 + 9x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)2 (X_b)4 + (X_b)4 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)3 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)3 (X_b)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)4 + (X_a)4 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)3 (X_b)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)3 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_c)4 + (X_c)6 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c
Is it a nice code?: No
Generator Matrix-457
a a a a 0 0
b b b b 0 0
0 c 0 0 0 c
0 0 c 0 0 0
0 0 0 c 0 0
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 0
0 0 0 c c 0
0 0 c 0 0 0
0 0 c 0 c 0
0 0 c c 0 0
0 0 c c c 0
0 c 0 0 0 c
0 c 0 0 c c
0 c 0 c 0 c
0 c 0 c c c
0 c c 0 0 c
0 c c 0 c c
0 c c c 0 c
0 c c c c c
b b b b 0 0
b b b b c 0
b b b a 0 0
b b b a c 0
b b a b 0 0
b b a b c 0
b b a a 0 0
b b a a c 0
b a b b 0 c
b a b b c c
b a b a 0 c
b a b a c c
b a a b 0 c
b a a b c c
b a a a 0 c
b a a a c c
a a a a 0 0
a a a a c 0
a a a b 0 0
a a a b c 0
a a b a 0 0
a a b a c 0
a a b b 0 0
a a b b c 0
a b a a 0 c
a b a a c c
a b a b 0 c
a b a b c c
a b b a 0 c
a b b a c c
a b b b 0 c
a b b b c c
c c c c 0 0
c c c c c 0
c c c 0 0 0
c c c 0 c 0
c c 0 c 0 0
c c 0 c c 0
c c 0 0 0 0
c c 0 0 c 0
c 0 c c 0 c
c 0 c c c c
c 0 c 0 0 c
c 0 c 0 c c
c 0 0 c 0 c
c 0 0 c c c
c 0 0 0 0 c
c 0 0 0 c c
dmin: 1
Weight Enumerator: 1x0 + 3x1 + 6x2 + 10x3 + 17x4 + 19x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)2 (X_b)4 + (X_0)1 (X_b)4 (X_c)1 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)4 (X_c)1 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c
Is it a nice code?: No
Generator Matrix-458
a a a a 0 0
b b b b 0 0
0 c 0 0 0 c
0 0 c 0 0 0
0 0 0 c 0 0
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 0
0 0 0 c c c
0 0 c 0 0 0
0 0 c 0 c c
0 0 c c 0 0
0 0 c c c c
0 c 0 0 0 c
0 c 0 0 c 0
0 c 0 c 0 c
0 c 0 c c 0
0 c c 0 0 c
0 c c 0 c 0
0 c c c 0 c
0 c c c c 0
b b b b 0 0
b b b b c c
b b b a 0 0
b b b a c c
b b a b 0 0
b b a b c c
b b a a 0 0
b b a a c c
b a b b 0 c
b a b b c 0
b a b a 0 c
b a b a c 0
b a a b 0 c
b a a b c 0
b a a a 0 c
b a a a c 0
a a a a 0 0
a a a a c c
a a a b 0 0
a a a b c c
a a b a 0 0
a a b a c c
a a b b 0 0
a a b b c c
a b a a 0 c
a b a a c 0
a b a b 0 c
a b a b c 0
a b b a 0 c
a b b a c 0
a b b b 0 c
a b b b c 0
c c c c 0 0
c c c c c c
c c c 0 0 0
c c c 0 c c
c c 0 c 0 0
c c 0 c c c
c c 0 0 0 0
c c 0 0 c c
c 0 c c 0 c
c 0 c c c 0
c 0 c 0 0 c
c 0 c 0 c 0
c 0 0 c 0 c
c 0 0 c c 0
c 0 0 0 0 c
c 0 0 0 c 0
dmin: 1
Weight Enumerator: 1x0 + 2x1 + 7x2 + 12x3 + 15x4 + 18x5 + 9x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_b)4 + (X_b)4 (X_c)2 + (X_0)2 (X_a)1 (X_b)3 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)1 (X_b)3 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)4 + (X_a)4 (X_c)2 + (X_0)2 (X_a)3 (X_b)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)3 (X_b)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_c)4 + (X_c)6 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c
Is it a nice code?: No
Generator Matrix-459
a a a a 0 0
b b b b 0 0
0 c 0 0 0 c
0 0 c 0 0 0
0 0 0 c 0 c
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 c
0 0 0 c c c
0 0 c 0 0 0
0 0 c 0 c 0
0 0 c c 0 c
0 0 c c c c
0 c 0 0 0 c
0 c 0 0 c c
0 c 0 c 0 0
0 c 0 c c 0
0 c c 0 0 c
0 c c 0 c c
0 c c c 0 0
0 c c c c 0
b b b b 0 0
b b b b c 0
b b b a 0 c
b b b a c c
b b a b 0 0
b b a b c 0
b b a a 0 c
b b a a c c
b a b b 0 c
b a b b c c
b a b a 0 0
b a b a c 0
b a a b 0 c
b a a b c c
b a a a 0 0
b a a a c 0
a a a a 0 0
a a a a c 0
a a a b 0 c
a a a b c c
a a b a 0 0
a a b a c 0
a a b b 0 c
a a b b c c
a b a a 0 c
a b a a c c
a b a b 0 0
a b a b c 0
a b b a 0 c
a b b a c c
a b b b 0 0
a b b b c 0
c c c c 0 0
c c c c c 0
c c c 0 0 c
c c c 0 c c
c c 0 c 0 0
c c 0 c c 0
c c 0 0 0 c
c c 0 0 c c
c 0 c c 0 c
c 0 c c c c
c 0 c 0 0 0
c 0 c 0 c 0
c 0 0 c 0 c
c 0 0 c c c
c 0 0 0 0 0
c 0 0 0 c 0
dmin: 1
Weight Enumerator: 1x0 + 3x1 + 6x2 + 10x3 + 17x4 + 19x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_b)4 + (X_0)1 (X_b)4 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)4 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c
Is it a nice code?: No
Generator Matrix-460
a a a a 0 0
b b b b 0 0
0 c 0 0 0 c
0 0 c 0 0 0
0 0 0 c 0 c
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 c
0 0 0 c c 0
0 0 c 0 0 0
0 0 c 0 c c
0 0 c c 0 c
0 0 c c c 0
0 c 0 0 0 c
0 c 0 0 c 0
0 c 0 c 0 0
0 c 0 c c c
0 c c 0 0 c
0 c c 0 c 0
0 c c c 0 0
0 c c c c c
b b b b 0 0
b b b b c c
b b b a 0 c
b b b a c 0
b b a b 0 0
b b a b c c
b b a a 0 c
b b a a c 0
b a b b 0 c
b a b b c 0
b a b a 0 0
b a b a c c
b a a b 0 c
b a a b c 0
b a a a 0 0
b a a a c c
a a a a 0 0
a a a a c c
a a a b 0 c
a a a b c 0
a a b a 0 0
a a b a c c
a a b b 0 c
a a b b c 0
a b a a 0 c
a b a a c 0
a b a b 0 0
a b a b c c
a b b a 0 c
a b b a c 0
a b b b 0 0
a b b b c c
c c c c 0 0
c c c c c c
c c c 0 0 c
c c c 0 c 0
c c 0 c 0 0
c c 0 c c c
c c 0 0 0 c
c c 0 0 c 0
c 0 c c 0 c
c 0 c c c 0
c 0 c 0 0 0
c 0 c 0 c c
c 0 0 c 0 c
c 0 0 c c 0
c 0 0 0 0 0
c 0 0 0 c c
dmin: 1
Weight Enumerator: 1x0 + 2x1 + 7x2 + 12x3 + 15x4 + 18x5 + 9x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)2 (X_b)4 + (X_b)4 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)1 (X_b)3 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)3 (X_b)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)4 + (X_a)4 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)3 (X_b)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)3 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_c)4 + (X_c)6 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c
Is it a nice code?: No
Generator Matrix-461
a a a a 0 0
b b b b 0 0
0 c 0 0 0 c
0 0 c 0 0 c
0 0 0 c 0 0
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 0
0 0 0 c c 0
0 0 c 0 0 c
0 0 c 0 c c
0 0 c c 0 c
0 0 c c c c
0 c 0 0 0 c
0 c 0 0 c c
0 c 0 c 0 c
0 c 0 c c c
0 c c 0 0 0
0 c c 0 c 0
0 c c c 0 0
0 c c c c 0
b b b b 0 0
b b b b c 0
b b b a 0 0
b b b a c 0
b b a b 0 c
b b a b c c
b b a a 0 c
b b a a c c
b a b b 0 c
b a b b c c
b a b a 0 c
b a b a c c
b a a b 0 0
b a a b c 0
b a a a 0 0
b a a a c 0
a a a a 0 0
a a a a c 0
a a a b 0 0
a a a b c 0
a a b a 0 c
a a b a c c
a a b b 0 c
a a b b c c
a b a a 0 c
a b a a c c
a b a b 0 c
a b a b c c
a b b a 0 0
a b b a c 0
a b b b 0 0
a b b b c 0
c c c c 0 0
c c c c c 0
c c c 0 0 0
c c c 0 c 0
c c 0 c 0 c
c c 0 c c c
c c 0 0 0 c
c c 0 0 c c
c 0 c c 0 c
c 0 c c c c
c 0 c 0 0 c
c 0 c 0 c c
c 0 0 c 0 0
c 0 0 c c 0
c 0 0 0 0 0
c 0 0 0 c 0
dmin: 1
Weight Enumerator: 1x0 + 3x1 + 6x2 + 10x3 + 17x4 + 19x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_b)4 + (X_0)1 (X_b)4 (X_c)1 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)4 + (X_0)1 (X_a)4 (X_c)1 + (X_0)2 (X_a)3 (X_b)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)1 (X_b)3 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c
Is it a nice code?: No
Generator Matrix-462
a a a a 0 0
b b b b 0 0
0 c 0 0 0 c
0 0 c 0 0 c
0 0 0 c 0 0
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 0
0 0 0 c c c
0 0 c 0 0 c
0 0 c 0 c 0
0 0 c c 0 c
0 0 c c c 0
0 c 0 0 0 c
0 c 0 0 c 0
0 c 0 c 0 c
0 c 0 c c 0
0 c c 0 0 0
0 c c 0 c c
0 c c c 0 0
0 c c c c c
b b b b 0 0
b b b b c c
b b b a 0 0
b b b a c c
b b a b 0 c
b b a b c 0
b b a a 0 c
b b a a c 0
b a b b 0 c
b a b b c 0
b a b a 0 c
b a b a c 0
b a a b 0 0
b a a b c c
b a a a 0 0
b a a a c c
a a a a 0 0
a a a a c c
a a a b 0 0
a a a b c c
a a b a 0 c
a a b a c 0
a a b b 0 c
a a b b c 0
a b a a 0 c
a b a a c 0
a b a b 0 c
a b a b c 0
a b b a 0 0
a b b a c c
a b b b 0 0
a b b b c c
c c c c 0 0
c c c c c c
c c c 0 0 0
c c c 0 c c
c c 0 c 0 c
c c 0 c c 0
c c 0 0 0 c
c c 0 0 c 0
c 0 c c 0 c
c 0 c c c 0
c 0 c 0 0 c
c 0 c 0 c 0
c 0 0 c 0 0
c 0 0 c c c
c 0 0 0 0 0
c 0 0 0 c c
dmin: 1
Weight Enumerator: 1x0 + 2x1 + 7x2 + 12x3 + 15x4 + 18x5 + 9x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)2 (X_b)4 + (X_b)4 (X_c)2 + (X_0)2 (X_a)1 (X_b)3 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)3 (X_b)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)4 + (X_a)4 (X_c)2 + (X_0)2 (X_a)3 (X_b)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)1 (X_b)3 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_c)4 + (X_c)6 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c
Is it a nice code?: No
Generator Matrix-463
a a a a 0 0
b b b b 0 0
0 c 0 0 0 c
0 0 c 0 0 c
0 0 0 c 0 c
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 c
0 0 0 c c c
0 0 c 0 0 c
0 0 c 0 c c
0 0 c c 0 0
0 0 c c c 0
0 c 0 0 0 c
0 c 0 0 c c
0 c 0 c 0 0
0 c 0 c c 0
0 c c 0 0 0
0 c c 0 c 0
0 c c c 0 c
0 c c c c c
b b b b 0 0
b b b b c 0
b b b a 0 c
b b b a c c
b b a b 0 c
b b a b c c
b b a a 0 0
b b a a c 0
b a b b 0 c
b a b b c c
b a b a 0 0
b a b a c 0
b a a b 0 0
b a a b c 0
b a a a 0 c
b a a a c c
a a a a 0 0
a a a a c 0
a a a b 0 c
a a a b c c
a a b a 0 c
a a b a c c
a a b b 0 0
a a b b c 0
a b a a 0 c
a b a a c c
a b a b 0 0
a b a b c 0
a b b a 0 0
a b b a c 0
a b b b 0 c
a b b b c c
c c c c 0 0
c c c c c 0
c c c 0 0 c
c c c 0 c c
c c 0 c 0 c
c c 0 c c c
c c 0 0 0 0
c c 0 0 c 0
c 0 c c 0 c
c 0 c c c c
c 0 c 0 0 0
c 0 c 0 c 0
c 0 0 c 0 0
c 0 0 c c 0
c 0 0 0 0 c
c 0 0 0 c c
dmin: 1
Weight Enumerator: 1x0 + 1x1 + 10x2 + 10x3 + 13x4 + 21x5 + 8x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)2 (X_b)4 + (X_0)1 (X_b)4 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)4 + (X_0)1 (X_a)4 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_a)3 (X_b)1 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_0)1 (X_a)2 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_a)1 (X_b)3 (X_c)2 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c
Is it a nice code?: No
Generator Matrix-464
a a a a 0 0
b b b b 0 0
0 c 0 0 0 c
0 0 c 0 0 c
0 0 0 c 0 c
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 c
0 0 0 c c 0
0 0 c 0 0 c
0 0 c 0 c 0
0 0 c c 0 0
0 0 c c c c
0 c 0 0 0 c
0 c 0 0 c 0
0 c 0 c 0 0
0 c 0 c c c
0 c c 0 0 0
0 c c 0 c c
0 c c c 0 c
0 c c c c 0
b b b b 0 0
b b b b c c
b b b a 0 c
b b b a c 0
b b a b 0 c
b b a b c 0
b b a a 0 0
b b a a c c
b a b b 0 c
b a b b c 0
b a b a 0 0
b a b a c c
b a a b 0 0
b a a b c c
b a a a 0 c
b a a a c 0
a a a a 0 0
a a a a c c
a a a b 0 c
a a a b c 0
a a b a 0 c
a a b a c 0
a a b b 0 0
a a b b c c
a b a a 0 c
a b a a c 0
a b a b 0 0
a b a b c c
a b b a 0 0
a b b a c c
a b b b 0 c
a b b b c 0
c c c c 0 0
c c c c c c
c c c 0 0 c
c c c 0 c 0
c c 0 c 0 c
c c 0 c c 0
c c 0 0 0 0
c c 0 0 c c
c 0 c c 0 c
c 0 c c c 0
c 0 c 0 0 0
c 0 c 0 c c
c 0 0 c 0 0
c 0 0 c c c
c 0 0 0 0 c
c 0 0 0 c 0
dmin: 2
Weight Enumerator: 1x0 + 0x1 + 15x2 + 0x3 + 23x4 + 16x5 + 9x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_b)4 + (X_b)4 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)4 + (X_a)4 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)1 (X_c)1 + (X_0)2 (X_a)2 (X_b)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)2 (X_a)2 (X_b)2 + (X_a)2 (X_b)2 (X_c)2 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)3 (X_c)1 + (X_0)2 (X_c)4 + (X_c)6 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
0 0 0 0 a 0
0 0 0 0 a a
0 0 0 0 a b
0 0 0 0 a c
0 0 0 0 b 0
0 0 0 0 b a
0 0 0 0 b b
0 0 0 0 b c
0 0 0 0 c 0
0 0 0 0 c a
0 0 0 0 c b
0 0 0 0 c c
Is it a nice code?: No
Generator Matrix-465
a a a a 0 a
b b b b 0 b
0 c 0 0 0 0
0 0 c 0 0 0
0 0 0 c 0 0
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 0
0 0 0 c c 0
0 0 c 0 0 0
0 0 c 0 c 0
0 0 c c 0 0
0 0 c c c 0
0 c 0 0 0 0
0 c 0 0 c 0
0 c 0 c 0 0
0 c 0 c c 0
0 c c 0 0 0
0 c c 0 c 0
0 c c c 0 0
0 c c c c 0
b b b b 0 b
b b b b c b
b b b a 0 b
b b b a c b
b b a b 0 b
b b a b c b
b b a a 0 b
b b a a c b
b a b b 0 b
b a b b c b
b a b a 0 b
b a b a c b
b a a b 0 b
b a a b c b
b a a a 0 b
b a a a c b
a a a a 0 a
a a a a c a
a a a b 0 a
a a a b c a
a a b a 0 a
a a b a c a
a a b b 0 a
a a b b c a
a b a a 0 a
a b a a c a
a b a b 0 a
a b a b c a
a b b a 0 a
a b b a c a
a b b b 0 a
a b b b c a
c c c c 0 c
c c c c c c
c c c 0 0 c
c c c 0 c c
c c 0 c 0 c
c c 0 c c c
c c 0 0 0 c
c c 0 0 c c
c 0 c c 0 c
c 0 c c c c
c 0 c 0 0 c
c 0 c 0 c c
c 0 0 c 0 c
c 0 0 c c c
c 0 0 0 0 c
c 0 0 0 c c
dmin: 1
Weight Enumerator: 1x0 + 4x1 + 7x2 + 8x3 + 7x4 + 20x5 + 17x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_b)5 + (X_b)5 (X_c)1 + (X_0)1 (X_a)1 (X_b)4 + (X_a)1 (X_b)4 (X_c)1 + (X_0)1 (X_a)1 (X_b)4 + (X_a)1 (X_b)4 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)4 + (X_a)1 (X_b)4 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)5 + (X_a)5 (X_c)1 + (X_0)1 (X_a)4 (X_b)1 + (X_a)4 (X_b)1 (X_c)1 + (X_0)1 (X_a)4 (X_b)1 + (X_a)4 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)4 (X_b)1 + (X_a)4 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_c)5 + (X_c)6 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
Is it a nice code?: No
Generator Matrix-466
a a a a 0 a
b b b b 0 b
0 c 0 0 0 0
0 0 c 0 0 0
0 0 0 c 0 0
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 0
0 0 0 c c c
0 0 c 0 0 0
0 0 c 0 c c
0 0 c c 0 0
0 0 c c c c
0 c 0 0 0 0
0 c 0 0 c c
0 c 0 c 0 0
0 c 0 c c c
0 c c 0 0 0
0 c c 0 c c
0 c c c 0 0
0 c c c c c
b b b b 0 b
b b b b c a
b b b a 0 b
b b b a c a
b b a b 0 b
b b a b c a
b b a a 0 b
b b a a c a
b a b b 0 b
b a b b c a
b a b a 0 b
b a b a c a
b a a b 0 b
b a a b c a
b a a a 0 b
b a a a c a
a a a a 0 a
a a a a c b
a a a b 0 a
a a a b c b
a a b a 0 a
a a b a c b
a a b b 0 a
a a b b c b
a b a a 0 a
a b a a c b
a b a b 0 a
a b a b c b
a b b a 0 a
a b b a c b
a b b b 0 a
a b b b c b
c c c c 0 c
c c c c c 0
c c c 0 0 c
c c c 0 c 0
c c 0 c 0 c
c c 0 c c 0
c c 0 0 0 c
c c 0 0 c 0
c 0 c c 0 c
c 0 c c c 0
c 0 c 0 0 c
c 0 c 0 c 0
c 0 0 c 0 c
c 0 0 c c 0
c 0 0 0 0 c
c 0 0 0 c 0
dmin: 1
Weight Enumerator: 1x0 + 3x1 + 6x2 + 10x3 + 9x4 + 19x5 + 16x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)1 (X_b)5 + (X_a)1 (X_b)4 (X_c)1 + (X_0)1 (X_a)1 (X_b)4 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)4 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)4 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_a)4 (X_b)1 (X_c)1 + (X_0)1 (X_a)5 + (X_a)4 (X_b)1 (X_c)1 + (X_0)1 (X_a)4 (X_b)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)4 (X_b)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)4 (X_b)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_a)1 (X_b)4 (X_c)1 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
Is it a nice code?: No
Generator Matrix-467
a a a a 0 a
b b b b 0 b
0 c 0 0 0 0
0 0 c 0 0 0
0 0 0 c 0 c
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 c
0 0 0 c c c
0 0 c 0 0 0
0 0 c 0 c 0
0 0 c c 0 c
0 0 c c c c
0 c 0 0 0 0
0 c 0 0 c 0
0 c 0 c 0 c
0 c 0 c c c
0 c c 0 0 0
0 c c 0 c 0
0 c c c 0 c
0 c c c c c
b b b b 0 b
b b b b c b
b b b a 0 a
b b b a c a
b b a b 0 b
b b a b c b
b b a a 0 a
b b a a c a
b a b b 0 b
b a b b c b
b a b a 0 a
b a b a c a
b a a b 0 b
b a a b c b
b a a a 0 a
b a a a c a
a a a a 0 a
a a a a c a
a a a b 0 b
a a a b c b
a a b a 0 a
a a b a c a
a a b b 0 b
a a b b c b
a b a a 0 a
a b a a c a
a b a b 0 b
a b a b c b
a b b a 0 a
a b b a c a
a b b b 0 b
a b b b c b
c c c c 0 c
c c c c c c
c c c 0 0 0
c c c 0 c 0
c c 0 c 0 c
c c 0 c c c
c c 0 0 0 0
c c 0 0 c 0
c 0 c c 0 c
c 0 c c c c
c 0 c 0 0 0
c 0 c 0 c 0
c 0 0 c 0 c
c 0 0 c c c
c 0 0 0 0 0
c 0 0 0 c 0
dmin: 1
Weight Enumerator: 1x0 + 4x1 + 7x2 + 8x3 + 7x4 + 20x5 + 17x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)1 (X_b)5 + (X_b)5 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)4 + (X_a)1 (X_b)4 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)4 + (X_a)1 (X_b)4 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)4 (X_b)1 + (X_a)4 (X_b)1 (X_c)1 + (X_0)1 (X_a)5 + (X_a)5 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)4 (X_b)1 + (X_a)4 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)4 (X_b)1 + (X_a)4 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)4 + (X_a)1 (X_b)4 (X_c)1 + (X_0)1 (X_c)5 + (X_c)6 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
Is it a nice code?: No
Generator Matrix-468
a a a a 0 a
b b b b 0 b
0 c 0 0 0 0
0 0 c 0 0 0
0 0 0 c 0 c
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 c
0 0 0 c c 0
0 0 c 0 0 0
0 0 c 0 c c
0 0 c c 0 c
0 0 c c c 0
0 c 0 0 0 0
0 c 0 0 c c
0 c 0 c 0 c
0 c 0 c c 0
0 c c 0 0 0
0 c c 0 c c
0 c c c 0 c
0 c c c c 0
b b b b 0 b
b b b b c a
b b b a 0 a
b b b a c b
b b a b 0 b
b b a b c a
b b a a 0 a
b b a a c b
b a b b 0 b
b a b b c a
b a b a 0 a
b a b a c b
b a a b 0 b
b a a b c a
b a a a 0 a
b a a a c b
a a a a 0 a
a a a a c b
a a a b 0 b
a a a b c a
a a b a 0 a
a a b a c b
a a b b 0 b
a a b b c a
a b a a 0 a
a b a a c b
a b a b 0 b
a b a b c a
a b b a 0 a
a b b a c b
a b b b 0 b
a b b b c a
c c c c 0 c
c c c c c 0
c c c 0 0 0
c c c 0 c c
c c 0 c 0 c
c c 0 c c 0
c c 0 0 0 0
c c 0 0 c c
c 0 c c 0 c
c 0 c c c 0
c 0 c 0 0 0
c 0 c 0 c c
c 0 0 c 0 c
c 0 0 c c 0
c 0 0 0 0 0
c 0 0 0 c c
dmin: 1
Weight Enumerator: 1x0 + 3x1 + 6x2 + 10x3 + 9x4 + 19x5 + 16x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_b)5 + (X_a)1 (X_b)4 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_a)1 (X_b)4 (X_c)1 + (X_0)1 (X_a)1 (X_b)4 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)4 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)4 (X_b)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)5 + (X_a)4 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_a)4 (X_b)1 (X_c)1 + (X_0)1 (X_a)4 (X_b)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)4 (X_b)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)4 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
Is it a nice code?: No
Generator Matrix-469
a a a a 0 a
b b b b 0 b
0 c 0 0 0 0
0 0 c 0 0 c
0 0 0 c 0 0
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 0
0 0 0 c c 0
0 0 c 0 0 c
0 0 c 0 c c
0 0 c c 0 c
0 0 c c c c
0 c 0 0 0 0
0 c 0 0 c 0
0 c 0 c 0 0
0 c 0 c c 0
0 c c 0 0 c
0 c c 0 c c
0 c c c 0 c
0 c c c c c
b b b b 0 b
b b b b c b
b b b a 0 b
b b b a c b
b b a b 0 a
b b a b c a
b b a a 0 a
b b a a c a
b a b b 0 b
b a b b c b
b a b a 0 b
b a b a c b
b a a b 0 a
b a a b c a
b a a a 0 a
b a a a c a
a a a a 0 a
a a a a c a
a a a b 0 a
a a a b c a
a a b a 0 b
a a b a c b
a a b b 0 b
a a b b c b
a b a a 0 a
a b a a c a
a b a b 0 a
a b a b c a
a b b a 0 b
a b b a c b
a b b b 0 b
a b b b c b
c c c c 0 c
c c c c c c
c c c 0 0 c
c c c 0 c c
c c 0 c 0 0
c c 0 c c 0
c c 0 0 0 0
c c 0 0 c 0
c 0 c c 0 c
c 0 c c c c
c 0 c 0 0 c
c 0 c 0 c c
c 0 0 c 0 0
c 0 0 c c 0
c 0 0 0 0 0
c 0 0 0 c 0
dmin: 1
Weight Enumerator: 1x0 + 4x1 + 7x2 + 8x3 + 7x4 + 20x5 + 17x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)1 (X_b)5 + (X_b)5 (X_c)1 + (X_0)1 (X_a)1 (X_b)4 + (X_a)1 (X_b)4 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)4 + (X_a)1 (X_b)4 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)4 (X_b)1 + (X_a)4 (X_b)1 (X_c)1 + (X_0)1 (X_a)5 + (X_a)5 (X_c)1 + (X_0)1 (X_a)4 (X_b)1 + (X_a)4 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)4 (X_b)1 + (X_a)4 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)4 + (X_a)1 (X_b)4 (X_c)1 + (X_0)1 (X_c)5 + (X_c)6 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
Is it a nice code?: No
Generator Matrix-470
a a a a 0 a
b b b b 0 b
0 c 0 0 0 0
0 0 c 0 0 c
0 0 0 c 0 0
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 0
0 0 0 c c c
0 0 c 0 0 c
0 0 c 0 c 0
0 0 c c 0 c
0 0 c c c 0
0 c 0 0 0 0
0 c 0 0 c c
0 c 0 c 0 0
0 c 0 c c c
0 c c 0 0 c
0 c c 0 c 0
0 c c c 0 c
0 c c c c 0
b b b b 0 b
b b b b c a
b b b a 0 b
b b b a c a
b b a b 0 a
b b a b c b
b b a a 0 a
b b a a c b
b a b b 0 b
b a b b c a
b a b a 0 b
b a b a c a
b a a b 0 a
b a a b c b
b a a a 0 a
b a a a c b
a a a a 0 a
a a a a c b
a a a b 0 a
a a a b c b
a a b a 0 b
a a b a c a
a a b b 0 b
a a b b c a
a b a a 0 a
a b a a c b
a b a b 0 a
a b a b c b
a b b a 0 b
a b b a c a
a b b b 0 b
a b b b c a
c c c c 0 c
c c c c c 0
c c c 0 0 c
c c c 0 c 0
c c 0 c 0 0
c c 0 c c c
c c 0 0 0 0
c c 0 0 c c
c 0 c c 0 c
c 0 c c c 0
c 0 c 0 0 c
c 0 c 0 c 0
c 0 0 c 0 0
c 0 0 c c c
c 0 0 0 0 0
c 0 0 0 c c
dmin: 1
Weight Enumerator: 1x0 + 3x1 + 6x2 + 10x3 + 9x4 + 19x5 + 16x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_b)5 + (X_a)1 (X_b)4 (X_c)1 + (X_0)1 (X_a)1 (X_b)4 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_a)1 (X_b)4 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)4 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)4 (X_b)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)5 + (X_a)4 (X_b)1 (X_c)1 + (X_0)1 (X_a)4 (X_b)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_a)4 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)4 (X_b)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)4 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
Is it a nice code?: No
Generator Matrix-471
a a a a 0 a
b b b b 0 b
0 c 0 0 0 0
0 0 c 0 0 c
0 0 0 c 0 c
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 c
0 0 0 c c c
0 0 c 0 0 c
0 0 c 0 c c
0 0 c c 0 0
0 0 c c c 0
0 c 0 0 0 0
0 c 0 0 c 0
0 c 0 c 0 c
0 c 0 c c c
0 c c 0 0 c
0 c c 0 c c
0 c c c 0 0
0 c c c c 0
b b b b 0 b
b b b b c b
b b b a 0 a
b b b a c a
b b a b 0 a
b b a b c a
b b a a 0 b
b b a a c b
b a b b 0 b
b a b b c b
b a b a 0 a
b a b a c a
b a a b 0 a
b a a b c a
b a a a 0 b
b a a a c b
a a a a 0 a
a a a a c a
a a a b 0 b
a a a b c b
a a b a 0 b
a a b a c b
a a b b 0 a
a a b b c a
a b a a 0 a
a b a a c a
a b a b 0 b
a b a b c b
a b b a 0 b
a b b a c b
a b b b 0 a
a b b b c a
c c c c 0 c
c c c c c c
c c c 0 0 0
c c c 0 c 0
c c 0 c 0 0
c c 0 c c 0
c c 0 0 0 c
c c 0 0 c c
c 0 c c 0 c
c 0 c c c c
c 0 c 0 0 0
c 0 c 0 c 0
c 0 0 c 0 0
c 0 0 c c 0
c 0 0 0 0 c
c 0 0 0 c c
dmin: 1
Weight Enumerator: 1x0 + 2x1 + 7x2 + 12x3 + 7x4 + 18x5 + 17x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_b)5 + (X_b)5 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)4 + (X_a)1 (X_b)4 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)5 + (X_a)5 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)4 (X_b)1 + (X_a)4 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_c)5 + (X_c)6 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
Is it a nice code?: No
Generator Matrix-472
a a a a 0 a
b b b b 0 b
0 c 0 0 0 0
0 0 c 0 0 c
0 0 0 c 0 c
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 c
0 0 0 c c 0
0 0 c 0 0 c
0 0 c 0 c 0
0 0 c c 0 0
0 0 c c c c
0 c 0 0 0 0
0 c 0 0 c c
0 c 0 c 0 c
0 c 0 c c 0
0 c c 0 0 c
0 c c 0 c 0
0 c c c 0 0
0 c c c c c
b b b b 0 b
b b b b c a
b b b a 0 a
b b b a c b
b b a b 0 a
b b a b c b
b b a a 0 b
b b a a c a
b a b b 0 b
b a b b c a
b a b a 0 a
b a b a c b
b a a b 0 a
b a a b c b
b a a a 0 b
b a a a c a
a a a a 0 a
a a a a c b
a a a b 0 b
a a a b c a
a a b a 0 b
a a b a c a
a a b b 0 a
a a b b c b
a b a a 0 a
a b a a c b
a b a b 0 b
a b a b c a
a b b a 0 b
a b b a c a
a b b b 0 a
a b b b c b
c c c c 0 c
c c c c c 0
c c c 0 0 0
c c c 0 c c
c c 0 c 0 0
c c 0 c c c
c c 0 0 0 c
c c 0 0 c 0
c 0 c c 0 c
c 0 c c c 0
c 0 c 0 0 0
c 0 c 0 c c
c 0 0 c 0 0
c 0 0 c c c
c 0 0 0 0 c
c 0 0 0 c 0
dmin: 1
Weight Enumerator: 1x0 + 1x1 + 10x2 + 10x3 + 5x4 + 21x5 + 16x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)1 (X_b)5 + (X_a)1 (X_b)4 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_a)1 (X_b)4 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_a)1 (X_b)4 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)4 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_a)4 (X_b)1 (X_c)1 + (X_0)1 (X_a)5 + (X_a)4 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_a)4 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_a)4 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)4 (X_b)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_a)1 (X_b)4 (X_c)1 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
Is it a nice code?: No
Generator Matrix-473
a a a a 0 a
b b b b 0 b
0 c 0 0 0 c
0 0 c 0 0 0
0 0 0 c 0 0
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 0
0 0 0 c c 0
0 0 c 0 0 0
0 0 c 0 c 0
0 0 c c 0 0
0 0 c c c 0
0 c 0 0 0 c
0 c 0 0 c c
0 c 0 c 0 c
0 c 0 c c c
0 c c 0 0 c
0 c c 0 c c
0 c c c 0 c
0 c c c c c
b b b b 0 b
b b b b c b
b b b a 0 b
b b b a c b
b b a b 0 b
b b a b c b
b b a a 0 b
b b a a c b
b a b b 0 a
b a b b c a
b a b a 0 a
b a b a c a
b a a b 0 a
b a a b c a
b a a a 0 a
b a a a c a
a a a a 0 a
a a a a c a
a a a b 0 a
a a a b c a
a a b a 0 a
a a b a c a
a a b b 0 a
a a b b c a
a b a a 0 b
a b a a c b
a b a b 0 b
a b a b c b
a b b a 0 b
a b b a c b
a b b b 0 b
a b b b c b
c c c c 0 c
c c c c c c
c c c 0 0 c
c c c 0 c c
c c 0 c 0 c
c c 0 c c c
c c 0 0 0 c
c c 0 0 c c
c 0 c c 0 0
c 0 c c c 0
c 0 c 0 0 0
c 0 c 0 c 0
c 0 0 c 0 0
c 0 0 c c 0
c 0 0 0 0 0
c 0 0 0 c 0
dmin: 1
Weight Enumerator: 1x0 + 4x1 + 7x2 + 8x3 + 7x4 + 20x5 + 17x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)1 (X_b)5 + (X_b)5 (X_c)1 + (X_0)1 (X_a)1 (X_b)4 + (X_a)1 (X_b)4 (X_c)1 + (X_0)1 (X_a)1 (X_b)4 + (X_a)1 (X_b)4 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)4 (X_b)1 + (X_a)4 (X_b)1 (X_c)1 + (X_0)1 (X_a)5 + (X_a)5 (X_c)1 + (X_0)1 (X_a)4 (X_b)1 + (X_a)4 (X_b)1 (X_c)1 + (X_0)1 (X_a)4 (X_b)1 + (X_a)4 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)4 + (X_a)1 (X_b)4 (X_c)1 + (X_0)1 (X_c)5 + (X_c)6 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
Is it a nice code?: No
Generator Matrix-474
a a a a 0 a
b b b b 0 b
0 c 0 0 0 c
0 0 c 0 0 0
0 0 0 c 0 0
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 0
0 0 0 c c c
0 0 c 0 0 0
0 0 c 0 c c
0 0 c c 0 0
0 0 c c c c
0 c 0 0 0 c
0 c 0 0 c 0
0 c 0 c 0 c
0 c 0 c c 0
0 c c 0 0 c
0 c c 0 c 0
0 c c c 0 c
0 c c c c 0
b b b b 0 b
b b b b c a
b b b a 0 b
b b b a c a
b b a b 0 b
b b a b c a
b b a a 0 b
b b a a c a
b a b b 0 a
b a b b c b
b a b a 0 a
b a b a c b
b a a b 0 a
b a a b c b
b a a a 0 a
b a a a c b
a a a a 0 a
a a a a c b
a a a b 0 a
a a a b c b
a a b a 0 a
a a b a c b
a a b b 0 a
a a b b c b
a b a a 0 b
a b a a c a
a b a b 0 b
a b a b c a
a b b a 0 b
a b b a c a
a b b b 0 b
a b b b c a
c c c c 0 c
c c c c c 0
c c c 0 0 c
c c c 0 c 0
c c 0 c 0 c
c c 0 c c 0
c c 0 0 0 c
c c 0 0 c 0
c 0 c c 0 0
c 0 c c c c
c 0 c 0 0 0
c 0 c 0 c c
c 0 0 c 0 0
c 0 0 c c c
c 0 0 0 0 0
c 0 0 0 c c
dmin: 1
Weight Enumerator: 1x0 + 3x1 + 6x2 + 10x3 + 9x4 + 19x5 + 16x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_b)5 + (X_a)1 (X_b)4 (X_c)1 + (X_0)1 (X_a)1 (X_b)4 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)4 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_a)1 (X_b)4 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)4 (X_b)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)5 + (X_a)4 (X_b)1 (X_c)1 + (X_0)1 (X_a)4 (X_b)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)4 (X_b)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_a)4 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)4 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
Is it a nice code?: No
Generator Matrix-475
a a a a 0 a
b b b b 0 b
0 c 0 0 0 c
0 0 c 0 0 0
0 0 0 c 0 c
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 c
0 0 0 c c c
0 0 c 0 0 0
0 0 c 0 c 0
0 0 c c 0 c
0 0 c c c c
0 c 0 0 0 c
0 c 0 0 c c
0 c 0 c 0 0
0 c 0 c c 0
0 c c 0 0 c
0 c c 0 c c
0 c c c 0 0
0 c c c c 0
b b b b 0 b
b b b b c b
b b b a 0 a
b b b a c a
b b a b 0 b
b b a b c b
b b a a 0 a
b b a a c a
b a b b 0 a
b a b b c a
b a b a 0 b
b a b a c b
b a a b 0 a
b a a b c a
b a a a 0 b
b a a a c b
a a a a 0 a
a a a a c a
a a a b 0 b
a a a b c b
a a b a 0 a
a a b a c a
a a b b 0 b
a a b b c b
a b a a 0 b
a b a a c b
a b a b 0 a
a b a b c a
a b b a 0 b
a b b a c b
a b b b 0 a
a b b b c a
c c c c 0 c
c c c c c c
c c c 0 0 0
c c c 0 c 0
c c 0 c 0 c
c c 0 c c c
c c 0 0 0 0
c c 0 0 c 0
c 0 c c 0 0
c 0 c c c 0
c 0 c 0 0 c
c 0 c 0 c c
c 0 0 c 0 0
c 0 0 c c 0
c 0 0 0 0 c
c 0 0 0 c c
dmin: 1
Weight Enumerator: 1x0 + 2x1 + 7x2 + 12x3 + 7x4 + 18x5 + 17x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_b)5 + (X_b)5 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)4 + (X_a)1 (X_b)4 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)5 + (X_a)5 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)4 (X_b)1 + (X_a)4 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_c)5 + (X_c)6 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
Is it a nice code?: No
Generator Matrix-476
a a a a 0 a
b b b b 0 b
0 c 0 0 0 c
0 0 c 0 0 0
0 0 0 c 0 c
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 c
0 0 0 c c 0
0 0 c 0 0 0
0 0 c 0 c c
0 0 c c 0 c
0 0 c c c 0
0 c 0 0 0 c
0 c 0 0 c 0
0 c 0 c 0 0
0 c 0 c c c
0 c c 0 0 c
0 c c 0 c 0
0 c c c 0 0
0 c c c c c
b b b b 0 b
b b b b c a
b b b a 0 a
b b b a c b
b b a b 0 b
b b a b c a
b b a a 0 a
b b a a c b
b a b b 0 a
b a b b c b
b a b a 0 b
b a b a c a
b a a b 0 a
b a a b c b
b a a a 0 b
b a a a c a
a a a a 0 a
a a a a c b
a a a b 0 b
a a a b c a
a a b a 0 a
a a b a c b
a a b b 0 b
a a b b c a
a b a a 0 b
a b a a c a
a b a b 0 a
a b a b c b
a b b a 0 b
a b b a c a
a b b b 0 a
a b b b c b
c c c c 0 c
c c c c c 0
c c c 0 0 0
c c c 0 c c
c c 0 c 0 c
c c 0 c c 0
c c 0 0 0 0
c c 0 0 c c
c 0 c c 0 0
c 0 c c c c
c 0 c 0 0 c
c 0 c 0 c 0
c 0 0 c 0 0
c 0 0 c c c
c 0 0 0 0 c
c 0 0 0 c 0
dmin: 1
Weight Enumerator: 1x0 + 1x1 + 10x2 + 10x3 + 5x4 + 21x5 + 16x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)1 (X_b)5 + (X_a)1 (X_b)4 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_a)1 (X_b)4 (X_c)1 + (X_0)1 (X_a)1 (X_b)4 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_a)1 (X_b)4 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_a)4 (X_b)1 (X_c)1 + (X_0)1 (X_a)5 + (X_a)4 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_a)4 (X_b)1 (X_c)1 + (X_0)1 (X_a)4 (X_b)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_a)4 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_a)1 (X_b)4 (X_c)1 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
Is it a nice code?: No
Generator Matrix-477
a a a a 0 a
b b b b 0 b
0 c 0 0 0 c
0 0 c 0 0 c
0 0 0 c 0 0
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 0
0 0 0 c c 0
0 0 c 0 0 c
0 0 c 0 c c
0 0 c c 0 c
0 0 c c c c
0 c 0 0 0 c
0 c 0 0 c c
0 c 0 c 0 c
0 c 0 c c c
0 c c 0 0 0
0 c c 0 c 0
0 c c c 0 0
0 c c c c 0
b b b b 0 b
b b b b c b
b b b a 0 b
b b b a c b
b b a b 0 a
b b a b c a
b b a a 0 a
b b a a c a
b a b b 0 a
b a b b c a
b a b a 0 a
b a b a c a
b a a b 0 b
b a a b c b
b a a a 0 b
b a a a c b
a a a a 0 a
a a a a c a
a a a b 0 a
a a a b c a
a a b a 0 b
a a b a c b
a a b b 0 b
a a b b c b
a b a a 0 b
a b a a c b
a b a b 0 b
a b a b c b
a b b a 0 a
a b b a c a
a b b b 0 a
a b b b c a
c c c c 0 c
c c c c c c
c c c 0 0 c
c c c 0 c c
c c 0 c 0 0
c c 0 c c 0
c c 0 0 0 0
c c 0 0 c 0
c 0 c c 0 0
c 0 c c c 0
c 0 c 0 0 0
c 0 c 0 c 0
c 0 0 c 0 c
c 0 0 c c c
c 0 0 0 0 c
c 0 0 0 c c
dmin: 1
Weight Enumerator: 1x0 + 2x1 + 7x2 + 12x3 + 7x4 + 18x5 + 17x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_b)5 + (X_b)5 (X_c)1 + (X_0)1 (X_a)1 (X_b)4 + (X_a)1 (X_b)4 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)5 + (X_a)5 (X_c)1 + (X_0)1 (X_a)4 (X_b)1 + (X_a)4 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_c)5 + (X_c)6 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
Is it a nice code?: No
Generator Matrix-478
a a a a 0 a
b b b b 0 b
0 c 0 0 0 c
0 0 c 0 0 c
0 0 0 c 0 0
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 0
0 0 0 c c c
0 0 c 0 0 c
0 0 c 0 c 0
0 0 c c 0 c
0 0 c c c 0
0 c 0 0 0 c
0 c 0 0 c 0
0 c 0 c 0 c
0 c 0 c c 0
0 c c 0 0 0
0 c c 0 c c
0 c c c 0 0
0 c c c c c
b b b b 0 b
b b b b c a
b b b a 0 b
b b b a c a
b b a b 0 a
b b a b c b
b b a a 0 a
b b a a c b
b a b b 0 a
b a b b c b
b a b a 0 a
b a b a c b
b a a b 0 b
b a a b c a
b a a a 0 b
b a a a c a
a a a a 0 a
a a a a c b
a a a b 0 a
a a a b c b
a a b a 0 b
a a b a c a
a a b b 0 b
a a b b c a
a b a a 0 b
a b a a c a
a b a b 0 b
a b a b c a
a b b a 0 a
a b b a c b
a b b b 0 a
a b b b c b
c c c c 0 c
c c c c c 0
c c c 0 0 c
c c c 0 c 0
c c 0 c 0 0
c c 0 c c c
c c 0 0 0 0
c c 0 0 c c
c 0 c c 0 0
c 0 c c c c
c 0 c 0 0 0
c 0 c 0 c c
c 0 0 c 0 c
c 0 0 c c 0
c 0 0 0 0 c
c 0 0 0 c 0
dmin: 1
Weight Enumerator: 1x0 + 1x1 + 10x2 + 10x3 + 5x4 + 21x5 + 16x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)1 (X_b)5 + (X_a)1 (X_b)4 (X_c)1 + (X_0)1 (X_a)1 (X_b)4 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_a)1 (X_b)4 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_a)1 (X_b)4 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_a)4 (X_b)1 (X_c)1 + (X_0)1 (X_a)5 + (X_a)4 (X_b)1 (X_c)1 + (X_0)1 (X_a)4 (X_b)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_a)4 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_a)4 (X_b)1 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_a)1 (X_b)4 (X_c)1 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
Is it a nice code?: No
Generator Matrix-479
a a a a 0 a
b b b b 0 b
0 c 0 0 0 c
0 0 c 0 0 c
0 0 0 c 0 c
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 c
0 0 0 c c c
0 0 c 0 0 c
0 0 c 0 c c
0 0 c c 0 0
0 0 c c c 0
0 c 0 0 0 c
0 c 0 0 c c
0 c 0 c 0 0
0 c 0 c c 0
0 c c 0 0 0
0 c c 0 c 0
0 c c c 0 c
0 c c c c c
b b b b 0 b
b b b b c b
b b b a 0 a
b b b a c a
b b a b 0 a
b b a b c a
b b a a 0 b
b b a a c b
b a b b 0 a
b a b b c a
b a b a 0 b
b a b a c b
b a a b 0 b
b a a b c b
b a a a 0 a
b a a a c a
a a a a 0 a
a a a a c a
a a a b 0 b
a a a b c b
a a b a 0 b
a a b a c b
a a b b 0 a
a a b b c a
a b a a 0 b
a b a a c b
a b a b 0 a
a b a b c a
a b b a 0 a
a b b a c a
a b b b 0 b
a b b b c b
c c c c 0 c
c c c c c c
c c c 0 0 0
c c c 0 c 0
c c 0 c 0 0
c c 0 c c 0
c c 0 0 0 c
c c 0 0 c c
c 0 c c 0 0
c 0 c c c 0
c 0 c 0 0 c
c 0 c 0 c c
c 0 0 c 0 c
c 0 0 c c c
c 0 0 0 0 0
c 0 0 0 c 0
dmin: 1
Weight Enumerator: 1x0 + 2x1 + 7x2 + 12x3 + 7x4 + 18x5 + 17x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)1 (X_b)5 + (X_b)5 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)4 (X_b)1 + (X_a)4 (X_b)1 (X_c)1 + (X_0)1 (X_a)5 + (X_a)5 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)4 + (X_a)1 (X_b)4 (X_c)1 + (X_0)1 (X_c)5 + (X_c)6 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
Is it a nice code?: No
Generator Matrix-480
a a a a 0 a
b b b b 0 b
0 c 0 0 0 c
0 0 c 0 0 c
0 0 0 c 0 c
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 c
0 0 0 c c 0
0 0 c 0 0 c
0 0 c 0 c 0
0 0 c c 0 0
0 0 c c c c
0 c 0 0 0 c
0 c 0 0 c 0
0 c 0 c 0 0
0 c 0 c c c
0 c c 0 0 0
0 c c 0 c c
0 c c c 0 c
0 c c c c 0
b b b b 0 b
b b b b c a
b b b a 0 a
b b b a c b
b b a b 0 a
b b a b c b
b b a a 0 b
b b a a c a
b a b b 0 a
b a b b c b
b a b a 0 b
b a b a c a
b a a b 0 b
b a a b c a
b a a a 0 a
b a a a c b
a a a a 0 a
a a a a c b
a a a b 0 b
a a a b c a
a a b a 0 b
a a b a c a
a a b b 0 a
a a b b c b
a b a a 0 b
a b a a c a
a b a b 0 a
a b a b c b
a b b a 0 a
a b b a c b
a b b b 0 b
a b b b c a
c c c c 0 c
c c c c c 0
c c c 0 0 0
c c c 0 c c
c c 0 c 0 0
c c 0 c c c
c c 0 0 0 c
c c 0 0 c 0
c 0 c c 0 0
c 0 c c c c
c 0 c 0 0 c
c 0 c 0 c 0
c 0 0 c 0 c
c 0 0 c c 0
c 0 0 0 0 0
c 0 0 0 c c
dmin: 1
Weight Enumerator: 1x0 + 1x1 + 10x2 + 10x3 + 5x4 + 21x5 + 16x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_b)5 + (X_a)1 (X_b)4 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_a)1 (X_b)4 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_a)1 (X_b)4 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_a)1 (X_b)4 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)4 (X_b)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)5 + (X_a)4 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_a)4 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_a)4 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_a)4 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)4 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 a 0
0 0 0 0 b 0
0 0 0 0 c 0
Is it a nice code?: No
Generator Matrix-481
a a a a a 0
b b b b b 0
0 c 0 0 0 0
0 0 c 0 0 0
0 0 0 c 0 0
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 0
0 0 0 c c 0
0 0 c 0 0 0
0 0 c 0 c 0
0 0 c c 0 0
0 0 c c c 0
0 c 0 0 0 0
0 c 0 0 c 0
0 c 0 c 0 0
0 c 0 c c 0
0 c c 0 0 0
0 c c 0 c 0
0 c c c 0 0
0 c c c c 0
b b b b b 0
b b b b a 0
b b b a b 0
b b b a a 0
b b a b b 0
b b a b a 0
b b a a b 0
b b a a a 0
b a b b b 0
b a b b a 0
b a b a b 0
b a b a a 0
b a a b b 0
b a a b a 0
b a a a b 0
b a a a a 0
a a a a a 0
a a a a b 0
a a a b a 0
a a a b b 0
a a b a a 0
a a b a b 0
a a b b a 0
a a b b b 0
a b a a a 0
a b a a b 0
a b a b a 0
a b a b b 0
a b b a a 0
a b b a b 0
a b b b a 0
a b b b b 0
c c c c c 0
c c c c 0 0
c c c 0 c 0
c c c 0 0 0
c c 0 c c 0
c c 0 c 0 0
c c 0 0 c 0
c c 0 0 0 0
c 0 c c c 0
c 0 c c 0 0
c 0 c 0 c 0
c 0 c 0 0 0
c 0 0 c c 0
c 0 0 c 0 0
c 0 0 0 c 0
c 0 0 0 0 0
dmin: 1
Weight Enumerator: 1x0 + 5x1 + 10x2 + 10x3 + 5x4 + 33x5 + 0x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_b)5 + (X_0)1 (X_a)1 (X_b)4 + (X_0)1 (X_a)1 (X_b)4 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)1 (X_b)4 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)1 (X_b)4 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)4 (X_b)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)4 (X_b)1 + (X_0)1 (X_a)4 (X_b)1 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)4 (X_b)1 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)4 (X_b)1 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)1 (X_b)4 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
Is it a nice code?: No
Generator Matrix-482
a a a a a 0
b b b b b 0
0 c 0 0 0 0
0 0 c 0 0 0
0 0 0 c 0 0
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 0
0 0 0 c c c
0 0 c 0 0 0
0 0 c 0 c c
0 0 c c 0 0
0 0 c c c c
0 c 0 0 0 0
0 c 0 0 c c
0 c 0 c 0 0
0 c 0 c c c
0 c c 0 0 0
0 c c 0 c c
0 c c c 0 0
0 c c c c c
b b b b b 0
b b b b a c
b b b a b 0
b b b a a c
b b a b b 0
b b a b a c
b b a a b 0
b b a a a c
b a b b b 0
b a b b a c
b a b a b 0
b a b a a c
b a a b b 0
b a a b a c
b a a a b 0
b a a a a c
a a a a a 0
a a a a b c
a a a b a 0
a a a b b c
a a b a a 0
a a b a b c
a a b b a 0
a a b b b c
a b a a a 0
a b a a b c
a b a b a 0
a b a b b c
a b b a a 0
a b b a b c
a b b b a 0
a b b b b c
c c c c c 0
c c c c 0 c
c c c 0 c 0
c c c 0 0 c
c c 0 c c 0
c c 0 c 0 c
c c 0 0 c 0
c c 0 0 0 c
c 0 c c c 0
c 0 c c 0 c
c 0 c 0 c 0
c 0 c 0 0 c
c 0 0 c c 0
c 0 0 c 0 c
c 0 0 0 c 0
c 0 0 0 0 c
dmin: 1
Weight Enumerator: 1x0 + 3x1 + 6x2 + 10x3 + 9x4 + 19x5 + 16x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)1 (X_b)5 + (X_a)1 (X_b)4 (X_c)1 + (X_0)1 (X_a)1 (X_b)4 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)4 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)4 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_a)4 (X_b)1 (X_c)1 + (X_0)1 (X_a)5 + (X_a)4 (X_b)1 (X_c)1 + (X_0)1 (X_a)4 (X_b)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)4 (X_b)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)4 (X_b)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_a)1 (X_b)4 (X_c)1 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
Is it a nice code?: No
Generator Matrix-483
a a a a a 0
b b b b b 0
0 c 0 0 0 0
0 0 c 0 0 0
0 0 0 c 0 c
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 c
0 0 0 c c c
0 0 c 0 0 0
0 0 c 0 c 0
0 0 c c 0 c
0 0 c c c c
0 c 0 0 0 0
0 c 0 0 c 0
0 c 0 c 0 c
0 c 0 c c c
0 c c 0 0 0
0 c c 0 c 0
0 c c c 0 c
0 c c c c c
b b b b b 0
b b b b a 0
b b b a b c
b b b a a c
b b a b b 0
b b a b a 0
b b a a b c
b b a a a c
b a b b b 0
b a b b a 0
b a b a b c
b a b a a c
b a a b b 0
b a a b a 0
b a a a b c
b a a a a c
a a a a a 0
a a a a b 0
a a a b a c
a a a b b c
a a b a a 0
a a b a b 0
a a b b a c
a a b b b c
a b a a a 0
a b a a b 0
a b a b a c
a b a b b c
a b b a a 0
a b b a b 0
a b b b a c
a b b b b c
c c c c c 0
c c c c 0 0
c c c 0 c c
c c c 0 0 c
c c 0 c c 0
c c 0 c 0 0
c c 0 0 c c
c c 0 0 0 c
c 0 c c c 0
c 0 c c 0 0
c 0 c 0 c c
c 0 c 0 0 c
c 0 0 c c 0
c 0 0 c 0 0
c 0 0 0 c c
c 0 0 0 0 c
dmin: 1
Weight Enumerator: 1x0 + 3x1 + 6x2 + 10x3 + 9x4 + 19x5 + 16x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)1 (X_b)5 + (X_0)1 (X_a)1 (X_b)4 + (X_a)1 (X_b)4 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)4 + (X_0)1 (X_a)2 (X_b)3 + (X_a)2 (X_b)3 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)4 + (X_0)1 (X_a)2 (X_b)3 + (X_a)2 (X_b)3 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)3 (X_b)2 + (X_a)3 (X_b)2 (X_c)1 + (X_a)4 (X_b)1 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)4 (X_b)1 + (X_a)4 (X_b)1 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)4 (X_b)1 + (X_0)1 (X_a)3 (X_b)2 + (X_a)3 (X_b)2 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)4 (X_b)1 + (X_0)1 (X_a)3 (X_b)2 + (X_a)3 (X_b)2 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)2 (X_b)3 + (X_a)2 (X_b)3 (X_c)1 + (X_a)1 (X_b)4 (X_c)1 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
Is it a nice code?: No
Generator Matrix-484
a a a a a 0
b b b b b 0
0 c 0 0 0 0
0 0 c 0 0 0
0 0 0 c 0 c
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 c
0 0 0 c c 0
0 0 c 0 0 0
0 0 c 0 c c
0 0 c c 0 c
0 0 c c c 0
0 c 0 0 0 0
0 c 0 0 c c
0 c 0 c 0 c
0 c 0 c c 0
0 c c 0 0 0
0 c c 0 c c
0 c c c 0 c
0 c c c c 0
b b b b b 0
b b b b a c
b b b a b c
b b b a a 0
b b a b b 0
b b a b a c
b b a a b c
b b a a a 0
b a b b b 0
b a b b a c
b a b a b c
b a b a a 0
b a a b b 0
b a a b a c
b a a a b c
b a a a a 0
a a a a a 0
a a a a b c
a a a b a c
a a a b b 0
a a b a a 0
a a b a b c
a a b b a c
a a b b b 0
a b a a a 0
a b a a b c
a b a b a c
a b a b b 0
a b b a a 0
a b b a b c
a b b b a c
a b b b b 0
c c c c c 0
c c c c 0 c
c c c 0 c c
c c c 0 0 0
c c 0 c c 0
c c 0 c 0 c
c c 0 0 c c
c c 0 0 0 0
c 0 c c c 0
c 0 c c 0 c
c 0 c 0 c c
c 0 c 0 0 0
c 0 0 c c 0
c 0 0 c 0 c
c 0 0 0 c c
c 0 0 0 0 0
dmin: 1
Weight Enumerator: 1x0 + 3x1 + 6x2 + 10x3 + 9x4 + 19x5 + 16x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_b)5 + (X_a)1 (X_b)4 (X_c)1 + (X_a)1 (X_b)4 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)1 (X_b)4 + (X_a)2 (X_b)3 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)1 (X_b)4 + (X_a)2 (X_b)3 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)2 (X_b)3 + (X_a)3 (X_b)2 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)4 (X_b)1 + (X_0)1 (X_a)5 + (X_a)4 (X_b)1 (X_c)1 + (X_a)4 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)4 (X_b)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)4 (X_b)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)3 (X_b)2 + (X_a)2 (X_b)3 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)4 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
Is it a nice code?: No
Generator Matrix-485
a a a a a 0
b b b b b 0
0 c 0 0 0 0
0 0 c 0 0 c
0 0 0 c 0 0
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 0
0 0 0 c c 0
0 0 c 0 0 c
0 0 c 0 c c
0 0 c c 0 c
0 0 c c c c
0 c 0 0 0 0
0 c 0 0 c 0
0 c 0 c 0 0
0 c 0 c c 0
0 c c 0 0 c
0 c c 0 c c
0 c c c 0 c
0 c c c c c
b b b b b 0
b b b b a 0
b b b a b 0
b b b a a 0
b b a b b c
b b a b a c
b b a a b c
b b a a a c
b a b b b 0
b a b b a 0
b a b a b 0
b a b a a 0
b a a b b c
b a a b a c
b a a a b c
b a a a a c
a a a a a 0
a a a a b 0
a a a b a 0
a a a b b 0
a a b a a c
a a b a b c
a a b b a c
a a b b b c
a b a a a 0
a b a a b 0
a b a b a 0
a b a b b 0
a b b a a c
a b b a b c
a b b b a c
a b b b b c
c c c c c 0
c c c c 0 0
c c c 0 c 0
c c c 0 0 0
c c 0 c c c
c c 0 c 0 c
c c 0 0 c c
c c 0 0 0 c
c 0 c c c 0
c 0 c c 0 0
c 0 c 0 c 0
c 0 c 0 0 0
c 0 0 c c c
c 0 0 c 0 c
c 0 0 0 c c
c 0 0 0 0 c
dmin: 1
Weight Enumerator: 1x0 + 3x1 + 6x2 + 10x3 + 9x4 + 19x5 + 16x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)1 (X_b)5 + (X_0)1 (X_a)1 (X_b)4 + (X_0)1 (X_a)1 (X_b)4 + (X_0)1 (X_a)2 (X_b)3 + (X_a)1 (X_b)4 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)4 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)3 (X_b)2 + (X_a)2 (X_b)3 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)4 (X_b)1 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)4 (X_b)1 + (X_0)1 (X_a)4 (X_b)1 + (X_0)1 (X_a)3 (X_b)2 + (X_a)4 (X_b)1 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)4 (X_b)1 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)2 (X_b)3 + (X_a)3 (X_b)2 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)1 (X_b)4 (X_c)1 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
Is it a nice code?: No
Generator Matrix-486
a a a a a 0
b b b b b 0
0 c 0 0 0 0
0 0 c 0 0 c
0 0 0 c 0 0
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 0
0 0 0 c c c
0 0 c 0 0 c
0 0 c 0 c 0
0 0 c c 0 c
0 0 c c c 0
0 c 0 0 0 0
0 c 0 0 c c
0 c 0 c 0 0
0 c 0 c c c
0 c c 0 0 c
0 c c 0 c 0
0 c c c 0 c
0 c c c c 0
b b b b b 0
b b b b a c
b b b a b 0
b b b a a c
b b a b b c
b b a b a 0
b b a a b c
b b a a a 0
b a b b b 0
b a b b a c
b a b a b 0
b a b a a c
b a a b b c
b a a b a 0
b a a a b c
b a a a a 0
a a a a a 0
a a a a b c
a a a b a 0
a a a b b c
a a b a a c
a a b a b 0
a a b b a c
a a b b b 0
a b a a a 0
a b a a b c
a b a b a 0
a b a b b c
a b b a a c
a b b a b 0
a b b b a c
a b b b b 0
c c c c c 0
c c c c 0 c
c c c 0 c 0
c c c 0 0 c
c c 0 c c c
c c 0 c 0 0
c c 0 0 c c
c c 0 0 0 0
c 0 c c c 0
c 0 c c 0 c
c 0 c 0 c 0
c 0 c 0 0 c
c 0 0 c c c
c 0 0 c 0 0
c 0 0 0 c c
c 0 0 0 0 0
dmin: 1
Weight Enumerator: 1x0 + 3x1 + 6x2 + 10x3 + 9x4 + 19x5 + 16x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_b)5 + (X_a)1 (X_b)4 (X_c)1 + (X_0)1 (X_a)1 (X_b)4 + (X_a)2 (X_b)3 (X_c)1 + (X_a)1 (X_b)4 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)1 (X_b)4 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_a)3 (X_b)2 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)4 (X_b)1 + (X_0)1 (X_a)5 + (X_a)4 (X_b)1 (X_c)1 + (X_0)1 (X_a)4 (X_b)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)4 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)4 (X_b)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_a)2 (X_b)3 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)4 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
Is it a nice code?: No
Generator Matrix-487
a a a a a 0
b b b b b 0
0 c 0 0 0 0
0 0 c 0 0 c
0 0 0 c 0 c
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 c
0 0 0 c c c
0 0 c 0 0 c
0 0 c 0 c c
0 0 c c 0 0
0 0 c c c 0
0 c 0 0 0 0
0 c 0 0 c 0
0 c 0 c 0 c
0 c 0 c c c
0 c c 0 0 c
0 c c 0 c c
0 c c c 0 0
0 c c c c 0
b b b b b 0
b b b b a 0
b b b a b c
b b b a a c
b b a b b c
b b a b a c
b b a a b 0
b b a a a 0
b a b b b 0
b a b b a 0
b a b a b c
b a b a a c
b a a b b c
b a a b a c
b a a a b 0
b a a a a 0
a a a a a 0
a a a a b 0
a a a b a c
a a a b b c
a a b a a c
a a b a b c
a a b b a 0
a a b b b 0
a b a a a 0
a b a a b 0
a b a b a c
a b a b b c
a b b a a c
a b b a b c
a b b b a 0
a b b b b 0
c c c c c 0
c c c c 0 0
c c c 0 c c
c c c 0 0 c
c c 0 c c c
c c 0 c 0 c
c c 0 0 c 0
c c 0 0 0 0
c 0 c c c 0
c 0 c c 0 0
c 0 c 0 c c
c 0 c 0 0 c
c 0 0 c c c
c 0 0 c 0 c
c 0 0 0 c 0
c 0 0 0 0 0
dmin: 1
Weight Enumerator: 1x0 + 3x1 + 6x2 + 10x3 + 9x4 + 19x5 + 16x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_b)5 + (X_0)1 (X_a)1 (X_b)4 + (X_a)1 (X_b)4 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)1 (X_b)4 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)1 (X_b)4 + (X_0)1 (X_a)2 (X_b)3 + (X_a)2 (X_b)3 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)4 (X_b)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)4 (X_b)1 + (X_a)4 (X_b)1 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)4 (X_b)1 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)4 (X_b)1 + (X_0)1 (X_a)3 (X_b)2 + (X_a)3 (X_b)2 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)1 (X_b)4 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
Is it a nice code?: No
Generator Matrix-488
a a a a a 0
b b b b b 0
0 c 0 0 0 0
0 0 c 0 0 c
0 0 0 c 0 c
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 c
0 0 0 c c 0
0 0 c 0 0 c
0 0 c 0 c 0
0 0 c c 0 0
0 0 c c c c
0 c 0 0 0 0
0 c 0 0 c c
0 c 0 c 0 c
0 c 0 c c 0
0 c c 0 0 c
0 c c 0 c 0
0 c c c 0 0
0 c c c c c
b b b b b 0
b b b b a c
b b b a b c
b b b a a 0
b b a b b c
b b a b a 0
b b a a b 0
b b a a a c
b a b b b 0
b a b b a c
b a b a b c
b a b a a 0
b a a b b c
b a a b a 0
b a a a b 0
b a a a a c
a a a a a 0
a a a a b c
a a a b a c
a a a b b 0
a a b a a c
a a b a b 0
a a b b a 0
a a b b b c
a b a a a 0
a b a a b c
a b a b a c
a b a b b 0
a b b a a c
a b b a b 0
a b b b a 0
a b b b b c
c c c c c 0
c c c c 0 c
c c c 0 c c
c c c 0 0 0
c c 0 c c c
c c 0 c 0 0
c c 0 0 c 0
c c 0 0 0 c
c 0 c c c 0
c 0 c c 0 c
c 0 c 0 c c
c 0 c 0 0 0
c 0 0 c c c
c 0 0 c 0 0
c 0 0 0 c 0
c 0 0 0 0 c
dmin: 1
Weight Enumerator: 1x0 + 1x1 + 10x2 + 10x3 + 5x4 + 21x5 + 16x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)1 (X_b)5 + (X_a)1 (X_b)4 (X_c)1 + (X_a)1 (X_b)4 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_a)1 (X_b)4 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)2 (X_b)3 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)1 (X_b)4 + (X_a)2 (X_b)3 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)3 (X_b)2 + (X_a)4 (X_b)1 (X_c)1 + (X_0)1 (X_a)5 + (X_a)4 (X_b)1 (X_c)1 + (X_a)4 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_a)4 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)3 (X_b)2 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)4 (X_b)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)2 (X_b)3 + (X_a)1 (X_b)4 (X_c)1 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
Is it a nice code?: No
Generator Matrix-489
a a a a a 0
b b b b b 0
0 c 0 0 0 c
0 0 c 0 0 0
0 0 0 c 0 0
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 0
0 0 0 c c 0
0 0 c 0 0 0
0 0 c 0 c 0
0 0 c c 0 0
0 0 c c c 0
0 c 0 0 0 c
0 c 0 0 c c
0 c 0 c 0 c
0 c 0 c c c
0 c c 0 0 c
0 c c 0 c c
0 c c c 0 c
0 c c c c c
b b b b b 0
b b b b a 0
b b b a b 0
b b b a a 0
b b a b b 0
b b a b a 0
b b a a b 0
b b a a a 0
b a b b b c
b a b b a c
b a b a b c
b a b a a c
b a a b b c
b a a b a c
b a a a b c
b a a a a c
a a a a a 0
a a a a b 0
a a a b a 0
a a a b b 0
a a b a a 0
a a b a b 0
a a b b a 0
a a b b b 0
a b a a a c
a b a a b c
a b a b a c
a b a b b c
a b b a a c
a b b a b c
a b b b a c
a b b b b c
c c c c c 0
c c c c 0 0
c c c 0 c 0
c c c 0 0 0
c c 0 c c 0
c c 0 c 0 0
c c 0 0 c 0
c c 0 0 0 0
c 0 c c c c
c 0 c c 0 c
c 0 c 0 c c
c 0 c 0 0 c
c 0 0 c c c
c 0 0 c 0 c
c 0 0 0 c c
c 0 0 0 0 c
dmin: 1
Weight Enumerator: 1x0 + 3x1 + 6x2 + 10x3 + 9x4 + 19x5 + 16x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)1 (X_b)5 + (X_0)1 (X_a)1 (X_b)4 + (X_0)1 (X_a)1 (X_b)4 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)1 (X_b)4 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)3 (X_b)2 + (X_a)1 (X_b)4 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)4 (X_b)1 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)4 (X_b)1 + (X_0)1 (X_a)4 (X_b)1 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)4 (X_b)1 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)2 (X_b)3 + (X_a)4 (X_b)1 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)1 (X_b)4 (X_c)1 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
Is it a nice code?: No
Generator Matrix-490
a a a a a 0
b b b b b 0
0 c 0 0 0 c
0 0 c 0 0 0
0 0 0 c 0 0
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 0
0 0 0 c c c
0 0 c 0 0 0
0 0 c 0 c c
0 0 c c 0 0
0 0 c c c c
0 c 0 0 0 c
0 c 0 0 c 0
0 c 0 c 0 c
0 c 0 c c 0
0 c c 0 0 c
0 c c 0 c 0
0 c c c 0 c
0 c c c c 0
b b b b b 0
b b b b a c
b b b a b 0
b b b a a c
b b a b b 0
b b a b a c
b b a a b 0
b b a a a c
b a b b b c
b a b b a 0
b a b a b c
b a b a a 0
b a a b b c
b a a b a 0
b a a a b c
b a a a a 0
a a a a a 0
a a a a b c
a a a b a 0
a a a b b c
a a b a a 0
a a b a b c
a a b b a 0
a a b b b c
a b a a a c
a b a a b 0
a b a b a c
a b a b b 0
a b b a a c
a b b a b 0
a b b b a c
a b b b b 0
c c c c c 0
c c c c 0 c
c c c 0 c 0
c c c 0 0 c
c c 0 c c 0
c c 0 c 0 c
c c 0 0 c 0
c c 0 0 0 c
c 0 c c c c
c 0 c c 0 0
c 0 c 0 c c
c 0 c 0 0 0
c 0 0 c c c
c 0 0 c 0 0
c 0 0 0 c c
c 0 0 0 0 0
dmin: 1
Weight Enumerator: 1x0 + 3x1 + 6x2 + 10x3 + 9x4 + 19x5 + 16x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_b)5 + (X_a)1 (X_b)4 (X_c)1 + (X_0)1 (X_a)1 (X_b)4 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)4 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_a)3 (X_b)2 (X_c)1 + (X_a)1 (X_b)4 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)4 (X_b)1 + (X_0)1 (X_a)5 + (X_a)4 (X_b)1 (X_c)1 + (X_0)1 (X_a)4 (X_b)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)4 (X_b)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_a)2 (X_b)3 (X_c)1 + (X_a)4 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)4 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
Is it a nice code?: No
Generator Matrix-491
a a a a a 0
b b b b b 0
0 c 0 0 0 c
0 0 c 0 0 0
0 0 0 c 0 c
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 c
0 0 0 c c c
0 0 c 0 0 0
0 0 c 0 c 0
0 0 c c 0 c
0 0 c c c c
0 c 0 0 0 c
0 c 0 0 c c
0 c 0 c 0 0
0 c 0 c c 0
0 c c 0 0 c
0 c c 0 c c
0 c c c 0 0
0 c c c c 0
b b b b b 0
b b b b a 0
b b b a b c
b b b a a c
b b a b b 0
b b a b a 0
b b a a b c
b b a a a c
b a b b b c
b a b b a c
b a b a b 0
b a b a a 0
b a a b b c
b a a b a c
b a a a b 0
b a a a a 0
a a a a a 0
a a a a b 0
a a a b a c
a a a b b c
a a b a a 0
a a b a b 0
a a b b a c
a a b b b c
a b a a a c
a b a a b c
a b a b a 0
a b a b b 0
a b b a a c
a b b a b c
a b b b a 0
a b b b b 0
c c c c c 0
c c c c 0 0
c c c 0 c c
c c c 0 0 c
c c 0 c c 0
c c 0 c 0 0
c c 0 0 c c
c c 0 0 0 c
c 0 c c c c
c 0 c c 0 c
c 0 c 0 c 0
c 0 c 0 0 0
c 0 0 c c c
c 0 0 c 0 c
c 0 0 0 c 0
c 0 0 0 0 0
dmin: 1
Weight Enumerator: 1x0 + 3x1 + 6x2 + 10x3 + 9x4 + 19x5 + 16x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_b)5 + (X_0)1 (X_a)1 (X_b)4 + (X_a)1 (X_b)4 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)4 + (X_0)1 (X_a)2 (X_b)3 + (X_a)2 (X_b)3 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)1 (X_b)4 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)3 (X_b)2 + (X_a)2 (X_b)3 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)4 (X_b)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)4 (X_b)1 + (X_a)4 (X_b)1 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)4 (X_b)1 + (X_0)1 (X_a)3 (X_b)2 + (X_a)3 (X_b)2 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)4 (X_b)1 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)2 (X_b)3 + (X_a)3 (X_b)2 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)1 (X_b)4 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
Is it a nice code?: No
Generator Matrix-492
a a a a a 0
b b b b b 0
0 c 0 0 0 c
0 0 c 0 0 0
0 0 0 c 0 c
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 c
0 0 0 c c 0
0 0 c 0 0 0
0 0 c 0 c c
0 0 c c 0 c
0 0 c c c 0
0 c 0 0 0 c
0 c 0 0 c 0
0 c 0 c 0 0
0 c 0 c c c
0 c c 0 0 c
0 c c 0 c 0
0 c c c 0 0
0 c c c c c
b b b b b 0
b b b b a c
b b b a b c
b b b a a 0
b b a b b 0
b b a b a c
b b a a b c
b b a a a 0
b a b b b c
b a b b a 0
b a b a b 0
b a b a a c
b a a b b c
b a a b a 0
b a a a b 0
b a a a a c
a a a a a 0
a a a a b c
a a a b a c
a a a b b 0
a a b a a 0
a a b a b c
a a b b a c
a a b b b 0
a b a a a c
a b a a b 0
a b a b a 0
a b a b b c
a b b a a c
a b b a b 0
a b b b a 0
a b b b b c
c c c c c 0
c c c c 0 c
c c c 0 c c
c c c 0 0 0
c c 0 c c 0
c c 0 c 0 c
c c 0 0 c c
c c 0 0 0 0
c 0 c c c c
c 0 c c 0 0
c 0 c 0 c 0
c 0 c 0 0 c
c 0 0 c c c
c 0 0 c 0 0
c 0 0 0 c 0
c 0 0 0 0 c
dmin: 1
Weight Enumerator: 1x0 + 1x1 + 10x2 + 10x3 + 5x4 + 21x5 + 16x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)1 (X_b)5 + (X_a)1 (X_b)4 (X_c)1 + (X_a)1 (X_b)4 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)1 (X_b)4 + (X_a)2 (X_b)3 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_a)1 (X_b)4 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)2 (X_b)3 + (X_a)3 (X_b)2 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)3 (X_b)2 + (X_a)4 (X_b)1 (X_c)1 + (X_0)1 (X_a)5 + (X_a)4 (X_b)1 (X_c)1 + (X_a)4 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)4 (X_b)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_a)4 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)3 (X_b)2 + (X_a)2 (X_b)3 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)2 (X_b)3 + (X_a)1 (X_b)4 (X_c)1 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
Is it a nice code?: No
Generator Matrix-493
a a a a a 0
b b b b b 0
0 c 0 0 0 c
0 0 c 0 0 c
0 0 0 c 0 0
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 0
0 0 0 c c 0
0 0 c 0 0 c
0 0 c 0 c c
0 0 c c 0 c
0 0 c c c c
0 c 0 0 0 c
0 c 0 0 c c
0 c 0 c 0 c
0 c 0 c c c
0 c c 0 0 0
0 c c 0 c 0
0 c c c 0 0
0 c c c c 0
b b b b b 0
b b b b a 0
b b b a b 0
b b b a a 0
b b a b b c
b b a b a c
b b a a b c
b b a a a c
b a b b b c
b a b b a c
b a b a b c
b a b a a c
b a a b b 0
b a a b a 0
b a a a b 0
b a a a a 0
a a a a a 0
a a a a b 0
a a a b a 0
a a a b b 0
a a b a a c
a a b a b c
a a b b a c
a a b b b c
a b a a a c
a b a a b c
a b a b a c
a b a b b c
a b b a a 0
a b b a b 0
a b b b a 0
a b b b b 0
c c c c c 0
c c c c 0 0
c c c 0 c 0
c c c 0 0 0
c c 0 c c c
c c 0 c 0 c
c c 0 0 c c
c c 0 0 0 c
c 0 c c c c
c 0 c c 0 c
c 0 c 0 c c
c 0 c 0 0 c
c 0 0 c c 0
c 0 0 c 0 0
c 0 0 0 c 0
c 0 0 0 0 0
dmin: 1
Weight Enumerator: 1x0 + 3x1 + 6x2 + 10x3 + 9x4 + 19x5 + 16x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_b)5 + (X_0)1 (X_a)1 (X_b)4 + (X_0)1 (X_a)1 (X_b)4 + (X_0)1 (X_a)2 (X_b)3 + (X_a)1 (X_b)4 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)1 (X_b)4 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)4 (X_b)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)4 (X_b)1 + (X_0)1 (X_a)4 (X_b)1 + (X_0)1 (X_a)3 (X_b)2 + (X_a)4 (X_b)1 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)4 (X_b)1 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)1 (X_b)4 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
Is it a nice code?: No
Generator Matrix-494
a a a a a 0
b b b b b 0
0 c 0 0 0 c
0 0 c 0 0 c
0 0 0 c 0 0
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 0
0 0 0 c c c
0 0 c 0 0 c
0 0 c 0 c 0
0 0 c c 0 c
0 0 c c c 0
0 c 0 0 0 c
0 c 0 0 c 0
0 c 0 c 0 c
0 c 0 c c 0
0 c c 0 0 0
0 c c 0 c c
0 c c c 0 0
0 c c c c c
b b b b b 0
b b b b a c
b b b a b 0
b b b a a c
b b a b b c
b b a b a 0
b b a a b c
b b a a a 0
b a b b b c
b a b b a 0
b a b a b c
b a b a a 0
b a a b b 0
b a a b a c
b a a a b 0
b a a a a c
a a a a a 0
a a a a b c
a a a b a 0
a a a b b c
a a b a a c
a a b a b 0
a a b b a c
a a b b b 0
a b a a a c
a b a a b 0
a b a b a c
a b a b b 0
a b b a a 0
a b b a b c
a b b b a 0
a b b b b c
c c c c c 0
c c c c 0 c
c c c 0 c 0
c c c 0 0 c
c c 0 c c c
c c 0 c 0 0
c c 0 0 c c
c c 0 0 0 0
c 0 c c c c
c 0 c c 0 0
c 0 c 0 c c
c 0 c 0 0 0
c 0 0 c c 0
c 0 0 c 0 c
c 0 0 0 c 0
c 0 0 0 0 c
dmin: 1
Weight Enumerator: 1x0 + 1x1 + 10x2 + 10x3 + 5x4 + 21x5 + 16x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)1 (X_b)5 + (X_a)1 (X_b)4 (X_c)1 + (X_0)1 (X_a)1 (X_b)4 + (X_a)2 (X_b)3 (X_c)1 + (X_a)1 (X_b)4 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_a)1 (X_b)4 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)2 (X_b)3 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_a)4 (X_b)1 (X_c)1 + (X_0)1 (X_a)5 + (X_a)4 (X_b)1 (X_c)1 + (X_0)1 (X_a)4 (X_b)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)4 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_a)4 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)3 (X_b)2 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_a)1 (X_b)4 (X_c)1 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
Is it a nice code?: No
Generator Matrix-495
a a a a a 0
b b b b b 0
0 c 0 0 0 c
0 0 c 0 0 c
0 0 0 c 0 c
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 c
0 0 0 c c c
0 0 c 0 0 c
0 0 c 0 c c
0 0 c c 0 0
0 0 c c c 0
0 c 0 0 0 c
0 c 0 0 c c
0 c 0 c 0 0
0 c 0 c c 0
0 c c 0 0 0
0 c c 0 c 0
0 c c c 0 c
0 c c c c c
b b b b b 0
b b b b a 0
b b b a b c
b b b a a c
b b a b b c
b b a b a c
b b a a b 0
b b a a a 0
b a b b b c
b a b b a c
b a b a b 0
b a b a a 0
b a a b b 0
b a a b a 0
b a a a b c
b a a a a c
a a a a a 0
a a a a b 0
a a a b a c
a a a b b c
a a b a a c
a a b a b c
a a b b a 0
a a b b b 0
a b a a a c
a b a a b c
a b a b a 0
a b a b b 0
a b b a a 0
a b b a b 0
a b b b a c
a b b b b c
c c c c c 0
c c c c 0 0
c c c 0 c c
c c c 0 0 c
c c 0 c c c
c c 0 c 0 c
c c 0 0 c 0
c c 0 0 0 0
c 0 c c c c
c 0 c c 0 c
c 0 c 0 c 0
c 0 c 0 0 0
c 0 0 c c 0
c 0 0 c 0 0
c 0 0 0 c c
c 0 0 0 0 c
dmin: 1
Weight Enumerator: 1x0 + 1x1 + 10x2 + 10x3 + 5x4 + 21x5 + 16x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)1 (X_b)5 + (X_0)1 (X_a)1 (X_b)4 + (X_a)1 (X_b)4 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_a)1 (X_b)4 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)3 (X_b)2 + (X_a)1 (X_b)4 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)3 (X_b)2 + (X_a)3 (X_b)2 (X_c)1 + (X_a)4 (X_b)1 (X_c)1 + (X_0)1 (X_a)5 + (X_0)1 (X_a)4 (X_b)1 + (X_a)4 (X_b)1 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_a)4 (X_b)1 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)2 (X_b)3 + (X_a)4 (X_b)1 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)2 (X_b)3 + (X_a)2 (X_b)3 (X_c)1 + (X_a)1 (X_b)4 (X_c)1 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
Is it a nice code?: No
Generator Matrix-496
a a a a a 0
b b b b b 0
0 c 0 0 0 c
0 0 c 0 0 c
0 0 0 c 0 c
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 c
0 0 0 c c 0
0 0 c 0 0 c
0 0 c 0 c 0
0 0 c c 0 0
0 0 c c c c
0 c 0 0 0 c
0 c 0 0 c 0
0 c 0 c 0 0
0 c 0 c c c
0 c c 0 0 0
0 c c 0 c c
0 c c c 0 c
0 c c c c 0
b b b b b 0
b b b b a c
b b b a b c
b b b a a 0
b b a b b c
b b a b a 0
b b a a b 0
b b a a a c
b a b b b c
b a b b a 0
b a b a b 0
b a b a a c
b a a b b 0
b a a b a c
b a a a b c
b a a a a 0
a a a a a 0
a a a a b c
a a a b a c
a a a b b 0
a a b a a c
a a b a b 0
a a b b a 0
a a b b b c
a b a a a c
a b a a b 0
a b a b a 0
a b a b b c
a b b a a 0
a b b a b c
a b b b a c
a b b b b 0
c c c c c 0
c c c c 0 c
c c c 0 c c
c c c 0 0 0
c c 0 c c c
c c 0 c 0 0
c c 0 0 c 0
c c 0 0 0 c
c 0 c c c c
c 0 c c 0 0
c 0 c 0 c 0
c 0 c 0 0 c
c 0 0 c c 0
c 0 0 c 0 c
c 0 0 0 c c
c 0 0 0 0 0
dmin: 1
Weight Enumerator: 1x0 + 1x1 + 10x2 + 10x3 + 5x4 + 21x5 + 16x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_b)5 + (X_a)1 (X_b)4 (X_c)1 + (X_a)1 (X_b)4 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_a)1 (X_b)4 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)2 (X_b)3 + (X_a)3 (X_b)2 (X_c)1 + (X_a)1 (X_b)4 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_0)1 (X_a)2 (X_b)3 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)2 (X_b)3 + (X_a)3 (X_b)2 (X_c)1 + (X_a)3 (X_b)2 (X_c)1 + (X_0)1 (X_a)4 (X_b)1 + (X_0)1 (X_a)5 + (X_a)4 (X_b)1 (X_c)1 + (X_a)4 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_a)4 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)3 (X_b)2 + (X_a)2 (X_b)3 (X_c)1 + (X_a)4 (X_b)1 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_0)1 (X_a)3 (X_b)2 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)3 (X_b)2 + (X_a)2 (X_b)3 (X_c)1 + (X_a)2 (X_b)3 (X_c)1 + (X_0)1 (X_a)1 (X_b)4 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1
Dual Codewords:
0 0 0 0 0 0
0 0 0 0 0 a
0 0 0 0 0 b
0 0 0 0 0 c
Is it a nice code?: No
Generator Matrix-497
a a a a a a
b b b b b b
0 c 0 0 0 0
0 0 c 0 0 0
0 0 0 c 0 0
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 0
0 0 0 c c 0
0 0 c 0 0 0
0 0 c 0 c 0
0 0 c c 0 0
0 0 c c c 0
0 c 0 0 0 0
0 c 0 0 c 0
0 c 0 c 0 0
0 c 0 c c 0
0 c c 0 0 0
0 c c 0 c 0
0 c c c 0 0
0 c c c c 0
b b b b b b
b b b b a b
b b b a b b
b b b a a b
b b a b b b
b b a b a b
b b a a b b
b b a a a b
b a b b b b
b a b b a b
b a b a b b
b a b a a b
b a a b b b
b a a b a b
b a a a b b
b a a a a b
a a a a a a
a a a a b a
a a a b a a
a a a b b a
a a b a a a
a a b a b a
a a b b a a
a a b b b a
a b a a a a
a b a a b a
a b a b a a
a b a b b a
a b b a a a
a b b a b a
a b b b a a
a b b b b a
c c c c c c
c c c c 0 c
c c c 0 c c
c c c 0 0 c
c c 0 c c c
c c 0 c 0 c
c c 0 0 c c
c c 0 0 0 c
c 0 c c c c
c 0 c c 0 c
c 0 c 0 c c
c 0 c 0 0 c
c 0 0 c c c
c 0 0 c 0 c
c 0 0 0 c c
c 0 0 0 0 c
dmin: 1
Weight Enumerator: 1x0 + 4x1 + 7x2 + 8x3 + 7x4 + 4x5 + 33x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_b)6 + (X_a)1 (X_b)5 + (X_a)1 (X_b)5 + (X_a)2 (X_b)4 + (X_a)1 (X_b)5 + (X_a)2 (X_b)4 + (X_a)2 (X_b)4 + (X_a)3 (X_b)3 + (X_a)1 (X_b)5 + (X_a)2 (X_b)4 + (X_a)2 (X_b)4 + (X_a)3 (X_b)3 + (X_a)2 (X_b)4 + (X_a)3 (X_b)3 + (X_a)3 (X_b)3 + (X_a)4 (X_b)2 + (X_a)6 + (X_a)5 (X_b)1 + (X_a)5 (X_b)1 + (X_a)4 (X_b)2 + (X_a)5 (X_b)1 + (X_a)4 (X_b)2 + (X_a)4 (X_b)2 + (X_a)3 (X_b)3 + (X_a)5 (X_b)1 + (X_a)4 (X_b)2 + (X_a)4 (X_b)2 + (X_a)3 (X_b)3 + (X_a)4 (X_b)2 + (X_a)3 (X_b)3 + (X_a)3 (X_b)3 + (X_a)2 (X_b)4 + (X_c)6 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2
Dual Codewords:
0 0 0 0 0 0
Is it a nice code?: No
Generator Matrix-498
a a a a a a
b b b b b b
0 c 0 0 0 0
0 0 c 0 0 0
0 0 0 c 0 0
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 0
0 0 0 c c c
0 0 c 0 0 0
0 0 c 0 c c
0 0 c c 0 0
0 0 c c c c
0 c 0 0 0 0
0 c 0 0 c c
0 c 0 c 0 0
0 c 0 c c c
0 c c 0 0 0
0 c c 0 c c
0 c c c 0 0
0 c c c c c
b b b b b b
b b b b a a
b b b a b b
b b b a a a
b b a b b b
b b a b a a
b b a a b b
b b a a a a
b a b b b b
b a b b a a
b a b a b b
b a b a a a
b a a b b b
b a a b a a
b a a a b b
b a a a a a
a a a a a a
a a a a b b
a a a b a a
a a a b b b
a a b a a a
a a b a b b
a a b b a a
a a b b b b
a b a a a a
a b a a b b
a b a b a a
a b a b b b
a b b a a a
a b b a b b
a b b b a a
a b b b b b
c c c c c c
c c c c 0 0
c c c 0 c c
c c c 0 0 0
c c 0 c c c
c c 0 c 0 0
c c 0 0 c c
c c 0 0 0 0
c 0 c c c c
c 0 c c 0 0
c 0 c 0 c c
c 0 c 0 0 0
c 0 0 c c c
c 0 0 c 0 0
c 0 0 0 c c
c 0 0 0 0 0
dmin: 1
Weight Enumerator: 1x0 + 4x1 + 7x2 + 8x3 + 7x4 + 4x5 + 33x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_b)6 + (X_a)2 (X_b)4 + (X_a)1 (X_b)5 + (X_a)3 (X_b)3 + (X_a)1 (X_b)5 + (X_a)3 (X_b)3 + (X_a)2 (X_b)4 + (X_a)4 (X_b)2 + (X_a)1 (X_b)5 + (X_a)3 (X_b)3 + (X_a)2 (X_b)4 + (X_a)4 (X_b)2 + (X_a)2 (X_b)4 + (X_a)4 (X_b)2 + (X_a)3 (X_b)3 + (X_a)5 (X_b)1 + (X_a)6 + (X_a)4 (X_b)2 + (X_a)5 (X_b)1 + (X_a)3 (X_b)3 + (X_a)5 (X_b)1 + (X_a)3 (X_b)3 + (X_a)4 (X_b)2 + (X_a)2 (X_b)4 + (X_a)5 (X_b)1 + (X_a)3 (X_b)3 + (X_a)4 (X_b)2 + (X_a)2 (X_b)4 + (X_a)4 (X_b)2 + (X_a)2 (X_b)4 + (X_a)3 (X_b)3 + (X_a)1 (X_b)5 + (X_c)6 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1
Dual Codewords:
0 0 0 0 0 0
Is it a nice code?: No
Generator Matrix-499
a a a a a a
b b b b b b
0 c 0 0 0 0
0 0 c 0 0 0
0 0 0 c 0 c
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 c
0 0 0 c c c
0 0 c 0 0 0
0 0 c 0 c 0
0 0 c c 0 c
0 0 c c c c
0 c 0 0 0 0
0 c 0 0 c 0
0 c 0 c 0 c
0 c 0 c c c
0 c c 0 0 0
0 c c 0 c 0
0 c c c 0 c
0 c c c c c
b b b b b b
b b b b a b
b b b a b a
b b b a a a
b b a b b b
b b a b a b
b b a a b a
b b a a a a
b a b b b b
b a b b a b
b a b a b a
b a b a a a
b a a b b b
b a a b a b
b a a a b a
b a a a a a
a a a a a a
a a a a b a
a a a b a b
a a a b b b
a a b a a a
a a b a b a
a a b b a b
a a b b b b
a b a a a a
a b a a b a
a b a b a b
a b a b b b
a b b a a a
a b b a b a
a b b b a b
a b b b b b
c c c c c c
c c c c 0 c
c c c 0 c 0
c c c 0 0 0
c c 0 c c c
c c 0 c 0 c
c c 0 0 c 0
c c 0 0 0 0
c 0 c c c c
c 0 c c 0 c
c 0 c 0 c 0
c 0 c 0 0 0
c 0 0 c c c
c 0 0 c 0 c
c 0 0 0 c 0
c 0 0 0 0 0
dmin: 1
Weight Enumerator: 1x0 + 4x1 + 7x2 + 8x3 + 7x4 + 4x5 + 33x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_b)6 + (X_a)1 (X_b)5 + (X_a)2 (X_b)4 + (X_a)3 (X_b)3 + (X_a)1 (X_b)5 + (X_a)2 (X_b)4 + (X_a)3 (X_b)3 + (X_a)4 (X_b)2 + (X_a)1 (X_b)5 + (X_a)2 (X_b)4 + (X_a)3 (X_b)3 + (X_a)4 (X_b)2 + (X_a)2 (X_b)4 + (X_a)3 (X_b)3 + (X_a)4 (X_b)2 + (X_a)5 (X_b)1 + (X_a)6 + (X_a)5 (X_b)1 + (X_a)4 (X_b)2 + (X_a)3 (X_b)3 + (X_a)5 (X_b)1 + (X_a)4 (X_b)2 + (X_a)3 (X_b)3 + (X_a)2 (X_b)4 + (X_a)5 (X_b)1 + (X_a)4 (X_b)2 + (X_a)3 (X_b)3 + (X_a)2 (X_b)4 + (X_a)4 (X_b)2 + (X_a)3 (X_b)3 + (X_a)2 (X_b)4 + (X_a)1 (X_b)5 + (X_c)6 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1
Dual Codewords:
0 0 0 0 0 0
Is it a nice code?: No
Generator Matrix-500
a a a a a a
b b b b b b
0 c 0 0 0 0
0 0 c 0 0 0
0 0 0 c 0 c
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 c
0 0 0 c c 0
0 0 c 0 0 0
0 0 c 0 c c
0 0 c c 0 c
0 0 c c c 0
0 c 0 0 0 0
0 c 0 0 c c
0 c 0 c 0 c
0 c 0 c c 0
0 c c 0 0 0
0 c c 0 c c
0 c c c 0 c
0 c c c c 0
b b b b b b
b b b b a a
b b b a b a
b b b a a b
b b a b b b
b b a b a a
b b a a b a
b b a a a b
b a b b b b
b a b b a a
b a b a b a
b a b a a b
b a a b b b
b a a b a a
b a a a b a
b a a a a b
a a a a a a
a a a a b b
a a a b a b
a a a b b a
a a b a a a
a a b a b b
a a b b a b
a a b b b a
a b a a a a
a b a a b b
a b a b a b
a b a b b a
a b b a a a
a b b a b b
a b b b a b
a b b b b a
c c c c c c
c c c c 0 0
c c c 0 c 0
c c c 0 0 c
c c 0 c c c
c c 0 c 0 0
c c 0 0 c 0
c c 0 0 0 c
c 0 c c c c
c 0 c c 0 0
c 0 c 0 c 0
c 0 c 0 0 c
c 0 0 c c c
c 0 0 c 0 0
c 0 0 0 c 0
c 0 0 0 0 c
dmin: 1
Weight Enumerator: 1x0 + 2x1 + 7x2 + 12x3 + 7x4 + 2x5 + 33x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_b)6 + (X_a)2 (X_b)4 + (X_a)2 (X_b)4 + (X_a)2 (X_b)4 + (X_a)1 (X_b)5 + (X_a)3 (X_b)3 + (X_a)3 (X_b)3 + (X_a)3 (X_b)3 + (X_a)1 (X_b)5 + (X_a)3 (X_b)3 + (X_a)3 (X_b)3 + (X_a)3 (X_b)3 + (X_a)2 (X_b)4 + (X_a)4 (X_b)2 + (X_a)4 (X_b)2 + (X_a)4 (X_b)2 + (X_a)6 + (X_a)4 (X_b)2 + (X_a)4 (X_b)2 + (X_a)4 (X_b)2 + (X_a)5 (X_b)1 + (X_a)3 (X_b)3 + (X_a)3 (X_b)3 + (X_a)3 (X_b)3 + (X_a)5 (X_b)1 + (X_a)3 (X_b)3 + (X_a)3 (X_b)3 + (X_a)3 (X_b)3 + (X_a)4 (X_b)2 + (X_a)2 (X_b)4 + (X_a)2 (X_b)4 + (X_a)2 (X_b)4 + (X_c)6 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2
Dual Codewords:
0 0 0 0 0 0
Is it a nice code?: No
Generator Matrix-501
a a a a a a
b b b b b b
0 c 0 0 0 0
0 0 c 0 0 c
0 0 0 c 0 0
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 0
0 0 0 c c 0
0 0 c 0 0 c
0 0 c 0 c c
0 0 c c 0 c
0 0 c c c c
0 c 0 0 0 0
0 c 0 0 c 0
0 c 0 c 0 0
0 c 0 c c 0
0 c c 0 0 c
0 c c 0 c c
0 c c c 0 c
0 c c c c c
b b b b b b
b b b b a b
b b b a b b
b b b a a b
b b a b b a
b b a b a a
b b a a b a
b b a a a a
b a b b b b
b a b b a b
b a b a b b
b a b a a b
b a a b b a
b a a b a a
b a a a b a
b a a a a a
a a a a a a
a a a a b a
a a a b a a
a a a b b a
a a b a a b
a a b a b b
a a b b a b
a a b b b b
a b a a a a
a b a a b a
a b a b a a
a b a b b a
a b b a a b
a b b a b b
a b b b a b
a b b b b b
c c c c c c
c c c c 0 c
c c c 0 c c
c c c 0 0 c
c c 0 c c 0
c c 0 c 0 0
c c 0 0 c 0
c c 0 0 0 0
c 0 c c c c
c 0 c c 0 c
c 0 c 0 c c
c 0 c 0 0 c
c 0 0 c c 0
c 0 0 c 0 0
c 0 0 0 c 0
c 0 0 0 0 0
dmin: 1
Weight Enumerator: 1x0 + 4x1 + 7x2 + 8x3 + 7x4 + 4x5 + 33x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_b)6 + (X_a)1 (X_b)5 + (X_a)1 (X_b)5 + (X_a)2 (X_b)4 + (X_a)2 (X_b)4 + (X_a)3 (X_b)3 + (X_a)3 (X_b)3 + (X_a)4 (X_b)2 + (X_a)1 (X_b)5 + (X_a)2 (X_b)4 + (X_a)2 (X_b)4 + (X_a)3 (X_b)3 + (X_a)3 (X_b)3 + (X_a)4 (X_b)2 + (X_a)4 (X_b)2 + (X_a)5 (X_b)1 + (X_a)6 + (X_a)5 (X_b)1 + (X_a)5 (X_b)1 + (X_a)4 (X_b)2 + (X_a)4 (X_b)2 + (X_a)3 (X_b)3 + (X_a)3 (X_b)3 + (X_a)2 (X_b)4 + (X_a)5 (X_b)1 + (X_a)4 (X_b)2 + (X_a)4 (X_b)2 + (X_a)3 (X_b)3 + (X_a)3 (X_b)3 + (X_a)2 (X_b)4 + (X_a)2 (X_b)4 + (X_a)1 (X_b)5 + (X_c)6 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1
Dual Codewords:
0 0 0 0 0 0
Is it a nice code?: No
Generator Matrix-502
a a a a a a
b b b b b b
0 c 0 0 0 0
0 0 c 0 0 c
0 0 0 c 0 0
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 0
0 0 0 c c c
0 0 c 0 0 c
0 0 c 0 c 0
0 0 c c 0 c
0 0 c c c 0
0 c 0 0 0 0
0 c 0 0 c c
0 c 0 c 0 0
0 c 0 c c c
0 c c 0 0 c
0 c c 0 c 0
0 c c c 0 c
0 c c c c 0
b b b b b b
b b b b a a
b b b a b b
b b b a a a
b b a b b a
b b a b a b
b b a a b a
b b a a a b
b a b b b b
b a b b a a
b a b a b b
b a b a a a
b a a b b a
b a a b a b
b a a a b a
b a a a a b
a a a a a a
a a a a b b
a a a b a a
a a a b b b
a a b a a b
a a b a b a
a a b b a b
a a b b b a
a b a a a a
a b a a b b
a b a b a a
a b a b b b
a b b a a b
a b b a b a
a b b b a b
a b b b b a
c c c c c c
c c c c 0 0
c c c 0 c c
c c c 0 0 0
c c 0 c c 0
c c 0 c 0 c
c c 0 0 c 0
c c 0 0 0 c
c 0 c c c c
c 0 c c 0 0
c 0 c 0 c c
c 0 c 0 0 0
c 0 0 c c 0
c 0 0 c 0 c
c 0 0 0 c 0
c 0 0 0 0 c
dmin: 1
Weight Enumerator: 1x0 + 2x1 + 7x2 + 12x3 + 7x4 + 2x5 + 33x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_b)6 + (X_a)2 (X_b)4 + (X_a)1 (X_b)5 + (X_a)3 (X_b)3 + (X_a)2 (X_b)4 + (X_a)2 (X_b)4 + (X_a)3 (X_b)3 + (X_a)3 (X_b)3 + (X_a)1 (X_b)5 + (X_a)3 (X_b)3 + (X_a)2 (X_b)4 + (X_a)4 (X_b)2 + (X_a)3 (X_b)3 + (X_a)3 (X_b)3 + (X_a)4 (X_b)2 + (X_a)4 (X_b)2 + (X_a)6 + (X_a)4 (X_b)2 + (X_a)5 (X_b)1 + (X_a)3 (X_b)3 + (X_a)4 (X_b)2 + (X_a)4 (X_b)2 + (X_a)3 (X_b)3 + (X_a)3 (X_b)3 + (X_a)5 (X_b)1 + (X_a)3 (X_b)3 + (X_a)4 (X_b)2 + (X_a)2 (X_b)4 + (X_a)3 (X_b)3 + (X_a)3 (X_b)3 + (X_a)2 (X_b)4 + (X_a)2 (X_b)4 + (X_c)6 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2
Dual Codewords:
0 0 0 0 0 0
Is it a nice code?: No
Generator Matrix-503
a a a a a a
b b b b b b
0 c 0 0 0 0
0 0 c 0 0 c
0 0 0 c 0 c
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 c
0 0 0 c c c
0 0 c 0 0 c
0 0 c 0 c c
0 0 c c 0 0
0 0 c c c 0
0 c 0 0 0 0
0 c 0 0 c 0
0 c 0 c 0 c
0 c 0 c c c
0 c c 0 0 c
0 c c 0 c c
0 c c c 0 0
0 c c c c 0
b b b b b b
b b b b a b
b b b a b a
b b b a a a
b b a b b a
b b a b a a
b b a a b b
b b a a a b
b a b b b b
b a b b a b
b a b a b a
b a b a a a
b a a b b a
b a a b a a
b a a a b b
b a a a a b
a a a a a a
a a a a b a
a a a b a b
a a a b b b
a a b a a b
a a b a b b
a a b b a a
a a b b b a
a b a a a a
a b a a b a
a b a b a b
a b a b b b
a b b a a b
a b b a b b
a b b b a a
a b b b b a
c c c c c c
c c c c 0 c
c c c 0 c 0
c c c 0 0 0
c c 0 c c 0
c c 0 c 0 0
c c 0 0 c c
c c 0 0 0 c
c 0 c c c c
c 0 c c 0 c
c 0 c 0 c 0
c 0 c 0 0 0
c 0 0 c c 0
c 0 0 c 0 0
c 0 0 0 c c
c 0 0 0 0 c
dmin: 1
Weight Enumerator: 1x0 + 2x1 + 7x2 + 12x3 + 7x4 + 2x5 + 33x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_b)6 + (X_a)1 (X_b)5 + (X_a)2 (X_b)4 + (X_a)3 (X_b)3 + (X_a)2 (X_b)4 + (X_a)3 (X_b)3 + (X_a)2 (X_b)4 + (X_a)3 (X_b)3 + (X_a)1 (X_b)5 + (X_a)2 (X_b)4 + (X_a)3 (X_b)3 + (X_a)4 (X_b)2 + (X_a)3 (X_b)3 + (X_a)4 (X_b)2 + (X_a)3 (X_b)3 + (X_a)4 (X_b)2 + (X_a)6 + (X_a)5 (X_b)1 + (X_a)4 (X_b)2 + (X_a)3 (X_b)3 + (X_a)4 (X_b)2 + (X_a)3 (X_b)3 + (X_a)4 (X_b)2 + (X_a)3 (X_b)3 + (X_a)5 (X_b)1 + (X_a)4 (X_b)2 + (X_a)3 (X_b)3 + (X_a)2 (X_b)4 + (X_a)3 (X_b)3 + (X_a)2 (X_b)4 + (X_a)3 (X_b)3 + (X_a)2 (X_b)4 + (X_c)6 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2
Dual Codewords:
0 0 0 0 0 0
Is it a nice code?: No
Generator Matrix-504
a a a a a a
b b b b b b
0 c 0 0 0 0
0 0 c 0 0 c
0 0 0 c 0 c
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 c
0 0 0 c c 0
0 0 c 0 0 c
0 0 c 0 c 0
0 0 c c 0 0
0 0 c c c c
0 c 0 0 0 0
0 c 0 0 c c
0 c 0 c 0 c
0 c 0 c c 0
0 c c 0 0 c
0 c c 0 c 0
0 c c c 0 0
0 c c c c c
b b b b b b
b b b b a a
b b b a b a
b b b a a b
b b a b b a
b b a b a b
b b a a b b
b b a a a a
b a b b b b
b a b b a a
b a b a b a
b a b a a b
b a a b b a
b a a b a b
b a a a b b
b a a a a a
a a a a a a
a a a a b b
a a a b a b
a a a b b a
a a b a a b
a a b a b a
a a b b a a
a a b b b b
a b a a a a
a b a a b b
a b a b a b
a b a b b a
a b b a a b
a b b a b a
a b b b a a
a b b b b b
c c c c c c
c c c c 0 0
c c c 0 c 0
c c c 0 0 c
c c 0 c c 0
c c 0 c 0 c
c c 0 0 c c
c c 0 0 0 0
c 0 c c c c
c 0 c c 0 0
c 0 c 0 c 0
c 0 c 0 0 c
c 0 0 c c 0
c 0 0 c 0 c
c 0 0 0 c c
c 0 0 0 0 0
dmin: 1
Weight Enumerator: 1x0 + 2x1 + 7x2 + 12x3 + 7x4 + 2x5 + 33x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_b)6 + (X_a)2 (X_b)4 + (X_a)2 (X_b)4 + (X_a)2 (X_b)4 + (X_a)2 (X_b)4 + (X_a)2 (X_b)4 + (X_a)2 (X_b)4 + (X_a)4 (X_b)2 + (X_a)1 (X_b)5 + (X_a)3 (X_b)3 + (X_a)3 (X_b)3 + (X_a)3 (X_b)3 + (X_a)3 (X_b)3 + (X_a)3 (X_b)3 + (X_a)3 (X_b)3 + (X_a)5 (X_b)1 + (X_a)6 + (X_a)4 (X_b)2 + (X_a)4 (X_b)2 + (X_a)4 (X_b)2 + (X_a)4 (X_b)2 + (X_a)4 (X_b)2 + (X_a)4 (X_b)2 + (X_a)2 (X_b)4 + (X_a)5 (X_b)1 + (X_a)3 (X_b)3 + (X_a)3 (X_b)3 + (X_a)3 (X_b)3 + (X_a)3 (X_b)3 + (X_a)3 (X_b)3 + (X_a)3 (X_b)3 + (X_a)1 (X_b)5 + (X_c)6 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1
Dual Codewords:
0 0 0 0 0 0
Is it a nice code?: No
Generator Matrix-505
a a a a a a
b b b b b b
0 c 0 0 0 c
0 0 c 0 0 0
0 0 0 c 0 0
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 0
0 0 0 c c 0
0 0 c 0 0 0
0 0 c 0 c 0
0 0 c c 0 0
0 0 c c c 0
0 c 0 0 0 c
0 c 0 0 c c
0 c 0 c 0 c
0 c 0 c c c
0 c c 0 0 c
0 c c 0 c c
0 c c c 0 c
0 c c c c c
b b b b b b
b b b b a b
b b b a b b
b b b a a b
b b a b b b
b b a b a b
b b a a b b
b b a a a b
b a b b b a
b a b b a a
b a b a b a
b a b a a a
b a a b b a
b a a b a a
b a a a b a
b a a a a a
a a a a a a
a a a a b a
a a a b a a
a a a b b a
a a b a a a
a a b a b a
a a b b a a
a a b b b a
a b a a a b
a b a a b b
a b a b a b
a b a b b b
a b b a a b
a b b a b b
a b b b a b
a b b b b b
c c c c c c
c c c c 0 c
c c c 0 c c
c c c 0 0 c
c c 0 c c c
c c 0 c 0 c
c c 0 0 c c
c c 0 0 0 c
c 0 c c c 0
c 0 c c 0 0
c 0 c 0 c 0
c 0 c 0 0 0
c 0 0 c c 0
c 0 0 c 0 0
c 0 0 0 c 0
c 0 0 0 0 0
dmin: 1
Weight Enumerator: 1x0 + 4x1 + 7x2 + 8x3 + 7x4 + 4x5 + 33x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_b)6 + (X_a)1 (X_b)5 + (X_a)1 (X_b)5 + (X_a)2 (X_b)4 + (X_a)1 (X_b)5 + (X_a)2 (X_b)4 + (X_a)2 (X_b)4 + (X_a)3 (X_b)3 + (X_a)2 (X_b)4 + (X_a)3 (X_b)3 + (X_a)3 (X_b)3 + (X_a)4 (X_b)2 + (X_a)3 (X_b)3 + (X_a)4 (X_b)2 + (X_a)4 (X_b)2 + (X_a)5 (X_b)1 + (X_a)6 + (X_a)5 (X_b)1 + (X_a)5 (X_b)1 + (X_a)4 (X_b)2 + (X_a)5 (X_b)1 + (X_a)4 (X_b)2 + (X_a)4 (X_b)2 + (X_a)3 (X_b)3 + (X_a)4 (X_b)2 + (X_a)3 (X_b)3 + (X_a)3 (X_b)3 + (X_a)2 (X_b)4 + (X_a)3 (X_b)3 + (X_a)2 (X_b)4 + (X_a)2 (X_b)4 + (X_a)1 (X_b)5 + (X_c)6 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1
Dual Codewords:
0 0 0 0 0 0
Is it a nice code?: No
Generator Matrix-506
a a a a a a
b b b b b b
0 c 0 0 0 c
0 0 c 0 0 0
0 0 0 c 0 0
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 0
0 0 0 c c c
0 0 c 0 0 0
0 0 c 0 c c
0 0 c c 0 0
0 0 c c c c
0 c 0 0 0 c
0 c 0 0 c 0
0 c 0 c 0 c
0 c 0 c c 0
0 c c 0 0 c
0 c c 0 c 0
0 c c c 0 c
0 c c c c 0
b b b b b b
b b b b a a
b b b a b b
b b b a a a
b b a b b b
b b a b a a
b b a a b b
b b a a a a
b a b b b a
b a b b a b
b a b a b a
b a b a a b
b a a b b a
b a a b a b
b a a a b a
b a a a a b
a a a a a a
a a a a b b
a a a b a a
a a a b b b
a a b a a a
a a b a b b
a a b b a a
a a b b b b
a b a a a b
a b a a b a
a b a b a b
a b a b b a
a b b a a b
a b b a b a
a b b b a b
a b b b b a
c c c c c c
c c c c 0 0
c c c 0 c c
c c c 0 0 0
c c 0 c c c
c c 0 c 0 0
c c 0 0 c c
c c 0 0 0 0
c 0 c c c 0
c 0 c c 0 c
c 0 c 0 c 0
c 0 c 0 0 c
c 0 0 c c 0
c 0 0 c 0 c
c 0 0 0 c 0
c 0 0 0 0 c
dmin: 1
Weight Enumerator: 1x0 + 2x1 + 7x2 + 12x3 + 7x4 + 2x5 + 33x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_b)6 + (X_a)2 (X_b)4 + (X_a)1 (X_b)5 + (X_a)3 (X_b)3 + (X_a)1 (X_b)5 + (X_a)3 (X_b)3 + (X_a)2 (X_b)4 + (X_a)4 (X_b)2 + (X_a)2 (X_b)4 + (X_a)2 (X_b)4 + (X_a)3 (X_b)3 + (X_a)3 (X_b)3 + (X_a)3 (X_b)3 + (X_a)3 (X_b)3 + (X_a)4 (X_b)2 + (X_a)4 (X_b)2 + (X_a)6 + (X_a)4 (X_b)2 + (X_a)5 (X_b)1 + (X_a)3 (X_b)3 + (X_a)5 (X_b)1 + (X_a)3 (X_b)3 + (X_a)4 (X_b)2 + (X_a)2 (X_b)4 + (X_a)4 (X_b)2 + (X_a)4 (X_b)2 + (X_a)3 (X_b)3 + (X_a)3 (X_b)3 + (X_a)3 (X_b)3 + (X_a)3 (X_b)3 + (X_a)2 (X_b)4 + (X_a)2 (X_b)4 + (X_c)6 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2
Dual Codewords:
0 0 0 0 0 0
Is it a nice code?: No
Generator Matrix-507
a a a a a a
b b b b b b
0 c 0 0 0 c
0 0 c 0 0 0
0 0 0 c 0 c
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 c
0 0 0 c c c
0 0 c 0 0 0
0 0 c 0 c 0
0 0 c c 0 c
0 0 c c c c
0 c 0 0 0 c
0 c 0 0 c c
0 c 0 c 0 0
0 c 0 c c 0
0 c c 0 0 c
0 c c 0 c c
0 c c c 0 0
0 c c c c 0
b b b b b b
b b b b a b
b b b a b a
b b b a a a
b b a b b b
b b a b a b
b b a a b a
b b a a a a
b a b b b a
b a b b a a
b a b a b b
b a b a a b
b a a b b a
b a a b a a
b a a a b b
b a a a a b
a a a a a a
a a a a b a
a a a b a b
a a a b b b
a a b a a a
a a b a b a
a a b b a b
a a b b b b
a b a a a b
a b a a b b
a b a b a a
a b a b b a
a b b a a b
a b b a b b
a b b b a a
a b b b b a
c c c c c c
c c c c 0 c
c c c 0 c 0
c c c 0 0 0
c c 0 c c c
c c 0 c 0 c
c c 0 0 c 0
c c 0 0 0 0
c 0 c c c 0
c 0 c c 0 0
c 0 c 0 c c
c 0 c 0 0 c
c 0 0 c c 0
c 0 0 c 0 0
c 0 0 0 c c
c 0 0 0 0 c
dmin: 1
Weight Enumerator: 1x0 + 2x1 + 7x2 + 12x3 + 7x4 + 2x5 + 33x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_b)6 + (X_a)1 (X_b)5 + (X_a)2 (X_b)4 + (X_a)3 (X_b)3 + (X_a)1 (X_b)5 + (X_a)2 (X_b)4 + (X_a)3 (X_b)3 + (X_a)4 (X_b)2 + (X_a)2 (X_b)4 + (X_a)3 (X_b)3 + (X_a)2 (X_b)4 + (X_a)3 (X_b)3 + (X_a)3 (X_b)3 + (X_a)4 (X_b)2 + (X_a)3 (X_b)3 + (X_a)4 (X_b)2 + (X_a)6 + (X_a)5 (X_b)1 + (X_a)4 (X_b)2 + (X_a)3 (X_b)3 + (X_a)5 (X_b)1 + (X_a)4 (X_b)2 + (X_a)3 (X_b)3 + (X_a)2 (X_b)4 + (X_a)4 (X_b)2 + (X_a)3 (X_b)3 + (X_a)4 (X_b)2 + (X_a)3 (X_b)3 + (X_a)3 (X_b)3 + (X_a)2 (X_b)4 + (X_a)3 (X_b)3 + (X_a)2 (X_b)4 + (X_c)6 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2
Dual Codewords:
0 0 0 0 0 0
Is it a nice code?: No
Generator Matrix-508
a a a a a a
b b b b b b
0 c 0 0 0 c
0 0 c 0 0 0
0 0 0 c 0 c
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 c
0 0 0 c c 0
0 0 c 0 0 0
0 0 c 0 c c
0 0 c c 0 c
0 0 c c c 0
0 c 0 0 0 c
0 c 0 0 c 0
0 c 0 c 0 0
0 c 0 c c c
0 c c 0 0 c
0 c c 0 c 0
0 c c c 0 0
0 c c c c c
b b b b b b
b b b b a a
b b b a b a
b b b a a b
b b a b b b
b b a b a a
b b a a b a
b b a a a b
b a b b b a
b a b b a b
b a b a b b
b a b a a a
b a a b b a
b a a b a b
b a a a b b
b a a a a a
a a a a a a
a a a a b b
a a a b a b
a a a b b a
a a b a a a
a a b a b b
a a b b a b
a a b b b a
a b a a a b
a b a a b a
a b a b a a
a b a b b b
a b b a a b
a b b a b a
a b b b a a
a b b b b b
c c c c c c
c c c c 0 0
c c c 0 c 0
c c c 0 0 c
c c 0 c c c
c c 0 c 0 0
c c 0 0 c 0
c c 0 0 0 c
c 0 c c c 0
c 0 c c 0 c
c 0 c 0 c c
c 0 c 0 0 0
c 0 0 c c 0
c 0 0 c 0 c
c 0 0 0 c c
c 0 0 0 0 0
dmin: 1
Weight Enumerator: 1x0 + 2x1 + 7x2 + 12x3 + 7x4 + 2x5 + 33x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_b)6 + (X_a)2 (X_b)4 + (X_a)2 (X_b)4 + (X_a)2 (X_b)4 + (X_a)1 (X_b)5 + (X_a)3 (X_b)3 + (X_a)3 (X_b)3 + (X_a)3 (X_b)3 + (X_a)2 (X_b)4 + (X_a)2 (X_b)4 + (X_a)2 (X_b)4 + (X_a)4 (X_b)2 + (X_a)3 (X_b)3 + (X_a)3 (X_b)3 + (X_a)3 (X_b)3 + (X_a)5 (X_b)1 + (X_a)6 + (X_a)4 (X_b)2 + (X_a)4 (X_b)2 + (X_a)4 (X_b)2 + (X_a)5 (X_b)1 + (X_a)3 (X_b)3 + (X_a)3 (X_b)3 + (X_a)3 (X_b)3 + (X_a)4 (X_b)2 + (X_a)4 (X_b)2 + (X_a)4 (X_b)2 + (X_a)2 (X_b)4 + (X_a)3 (X_b)3 + (X_a)3 (X_b)3 + (X_a)3 (X_b)3 + (X_a)1 (X_b)5 + (X_c)6 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1
Dual Codewords:
0 0 0 0 0 0
Is it a nice code?: No
Generator Matrix-509
a a a a a a
b b b b b b
0 c 0 0 0 c
0 0 c 0 0 c
0 0 0 c 0 0
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 0
0 0 0 c c 0
0 0 c 0 0 c
0 0 c 0 c c
0 0 c c 0 c
0 0 c c c c
0 c 0 0 0 c
0 c 0 0 c c
0 c 0 c 0 c
0 c 0 c c c
0 c c 0 0 0
0 c c 0 c 0
0 c c c 0 0
0 c c c c 0
b b b b b b
b b b b a b
b b b a b b
b b b a a b
b b a b b a
b b a b a a
b b a a b a
b b a a a a
b a b b b a
b a b b a a
b a b a b a
b a b a a a
b a a b b b
b a a b a b
b a a a b b
b a a a a b
a a a a a a
a a a a b a
a a a b a a
a a a b b a
a a b a a b
a a b a b b
a a b b a b
a a b b b b
a b a a a b
a b a a b b
a b a b a b
a b a b b b
a b b a a a
a b b a b a
a b b b a a
a b b b b a
c c c c c c
c c c c 0 c
c c c 0 c c
c c c 0 0 c
c c 0 c c 0
c c 0 c 0 0
c c 0 0 c 0
c c 0 0 0 0
c 0 c c c 0
c 0 c c 0 0
c 0 c 0 c 0
c 0 c 0 0 0
c 0 0 c c c
c 0 0 c 0 c
c 0 0 0 c c
c 0 0 0 0 c
dmin: 1
Weight Enumerator: 1x0 + 2x1 + 7x2 + 12x3 + 7x4 + 2x5 + 33x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_b)6 + (X_a)1 (X_b)5 + (X_a)1 (X_b)5 + (X_a)2 (X_b)4 + (X_a)2 (X_b)4 + (X_a)3 (X_b)3 + (X_a)3 (X_b)3 + (X_a)4 (X_b)2 + (X_a)2 (X_b)4 + (X_a)3 (X_b)3 + (X_a)3 (X_b)3 + (X_a)4 (X_b)2 + (X_a)2 (X_b)4 + (X_a)3 (X_b)3 + (X_a)3 (X_b)3 + (X_a)4 (X_b)2 + (X_a)6 + (X_a)5 (X_b)1 + (X_a)5 (X_b)1 + (X_a)4 (X_b)2 + (X_a)4 (X_b)2 + (X_a)3 (X_b)3 + (X_a)3 (X_b)3 + (X_a)2 (X_b)4 + (X_a)4 (X_b)2 + (X_a)3 (X_b)3 + (X_a)3 (X_b)3 + (X_a)2 (X_b)4 + (X_a)4 (X_b)2 + (X_a)3 (X_b)3 + (X_a)3 (X_b)3 + (X_a)2 (X_b)4 + (X_c)6 + (X_0)1 (X_c)5 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2
Dual Codewords:
0 0 0 0 0 0
Is it a nice code?: No
Generator Matrix-510
a a a a a a
b b b b b b
0 c 0 0 0 c
0 0 c 0 0 c
0 0 0 c 0 0
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 0
0 0 0 c c c
0 0 c 0 0 c
0 0 c 0 c 0
0 0 c c 0 c
0 0 c c c 0
0 c 0 0 0 c
0 c 0 0 c 0
0 c 0 c 0 c
0 c 0 c c 0
0 c c 0 0 0
0 c c 0 c c
0 c c c 0 0
0 c c c c c
b b b b b b
b b b b a a
b b b a b b
b b b a a a
b b a b b a
b b a b a b
b b a a b a
b b a a a b
b a b b b a
b a b b a b
b a b a b a
b a b a a b
b a a b b b
b a a b a a
b a a a b b
b a a a a a
a a a a a a
a a a a b b
a a a b a a
a a a b b b
a a b a a b
a a b a b a
a a b b a b
a a b b b a
a b a a a b
a b a a b a
a b a b a b
a b a b b a
a b b a a a
a b b a b b
a b b b a a
a b b b b b
c c c c c c
c c c c 0 0
c c c 0 c c
c c c 0 0 0
c c 0 c c 0
c c 0 c 0 c
c c 0 0 c 0
c c 0 0 0 c
c 0 c c c 0
c 0 c c 0 c
c 0 c 0 c 0
c 0 c 0 0 c
c 0 0 c c c
c 0 0 c 0 0
c 0 0 0 c c
c 0 0 0 0 0
dmin: 1
Weight Enumerator: 1x0 + 2x1 + 7x2 + 12x3 + 7x4 + 2x5 + 33x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)1 (X_c)5 + (X_b)6 + (X_a)2 (X_b)4 + (X_a)1 (X_b)5 + (X_a)3 (X_b)3 + (X_a)2 (X_b)4 + (X_a)2 (X_b)4 + (X_a)3 (X_b)3 + (X_a)3 (X_b)3 + (X_a)2 (X_b)4 + (X_a)2 (X_b)4 + (X_a)3 (X_b)3 + (X_a)3 (X_b)3 + (X_a)2 (X_b)4 + (X_a)4 (X_b)2 + (X_a)3 (X_b)3 + (X_a)5 (X_b)1 + (X_a)6 + (X_a)4 (X_b)2 + (X_a)5 (X_b)1 + (X_a)3 (X_b)3 + (X_a)4 (X_b)2 + (X_a)4 (X_b)2 + (X_a)3 (X_b)3 + (X_a)3 (X_b)3 + (X_a)4 (X_b)2 + (X_a)4 (X_b)2 + (X_a)3 (X_b)3 + (X_a)3 (X_b)3 + (X_a)4 (X_b)2 + (X_a)2 (X_b)4 + (X_a)3 (X_b)3 + (X_a)1 (X_b)5 + (X_c)6 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)5 (X_c)1
Dual Codewords:
0 0 0 0 0 0
Is it a nice code?: No
Generator Matrix-511
a a a a a a
b b b b b b
0 c 0 0 0 c
0 0 c 0 0 c
0 0 0 c 0 c
0 0 0 0 c 0
Codewords:
0 0 0 0 0 0
0 0 0 0 c 0
0 0 0 c 0 c
0 0 0 c c c
0 0 c 0 0 c
0 0 c 0 c c
0 0 c c 0 0
0 0 c c c 0
0 c 0 0 0 c
0 c 0 0 c c
0 c 0 c 0 0
0 c 0 c c 0
0 c c 0 0 0
0 c c 0 c 0
0 c c c 0 c
0 c c c c c
b b b b b b
b b b b a b
b b b a b a
b b b a a a
b b a b b a
b b a b a a
b b a a b b
b b a a a b
b a b b b a
b a b b a a
b a b a b b
b a b a a b
b a a b b b
b a a b a b
b a a a b a
b a a a a a
a a a a a a
a a a a b a
a a a b a b
a a a b b b
a a b a a b
a a b a b b
a a b b a a
a a b b b a
a b a a a b
a b a a b b
a b a b a a
a b a b b a
a b b a a a
a b b a b a
a b b b a b
a b b b b b
c c c c c c
c c c c 0 c
c c c 0 c 0
c c c 0 0 0
c c 0 c c 0
c c 0 c 0 0
c c 0 0 c c
c c 0 0 0 c
c 0 c c c 0
c 0 c c 0 0
c 0 c 0 c c
c 0 c 0 0 c
c 0 0 c c c
c 0 0 c 0 c
c 0 0 0 c 0
c 0 0 0 0 0
dmin: 1
Weight Enumerator: 1x0 + 2x1 + 7x2 + 12x3 + 7x4 + 2x5 + 33x6
Complete Weight Enumerator: (X_0)6 + (X_0)5 (X_c)1 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)1 (X_c)5 + (X_b)6 + (X_a)1 (X_b)5 + (X_a)2 (X_b)4 + (X_a)3 (X_b)3 + (X_a)2 (X_b)4 + (X_a)3 (X_b)3 + (X_a)2 (X_b)4 + (X_a)3 (X_b)3 + (X_a)2 (X_b)4 + (X_a)3 (X_b)3 + (X_a)2 (X_b)4 + (X_a)3 (X_b)3 + (X_a)2 (X_b)4 + (X_a)3 (X_b)3 + (X_a)4 (X_b)2 + (X_a)5 (X_b)1 + (X_a)6 + (X_a)5 (X_b)1 + (X_a)4 (X_b)2 + (X_a)3 (X_b)3 + (X_a)4 (X_b)2 + (X_a)3 (X_b)3 + (X_a)4 (X_b)2 + (X_a)3 (X_b)3 + (X_a)4 (X_b)2 + (X_a)3 (X_b)3 + (X_a)4 (X_b)2 + (X_a)3 (X_b)3 + (X_a)4 (X_b)2 + (X_a)3 (X_b)3 + (X_a)2 (X_b)4 + (X_a)1 (X_b)5 + (X_c)6 + (X_0)1 (X_c)5 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)2 (X_c)4 + (X_0)3 (X_c)3 + (X_0)4 (X_c)2 + (X_0)5 (X_c)1
Dual Codewords:
0 0 0 0 0 0
Is it a nice code?: No
Generator Matrix-512
a a a a a a
b b b b b b
0 c 0 0 0 c
0 0 c 0 0 c
0 0 0 c 0 c
0 0 0 0 c c
Codewords:
0 0 0 0 0 0
0 0 0 0 c c
0 0 0 c 0 c
0 0 0 c c 0
0 0 c 0 0 c
0 0 c 0 c 0
0 0 c c 0 0
0 0 c c c c
0 c 0 0 0 c
0 c 0 0 c 0
0 c 0 c 0 0
0 c 0 c c c
0 c c 0 0 0
0 c c 0 c c
0 c c c 0 c
0 c c c c 0
b b b b b b
b b b b a a
b b b a b a
b b b a a b
b b a b b a
b b a b a b
b b a a b b
b b a a a a
b a b b b a
b a b b a b
b a b a b b
b a b a a a
b a a b b b
b a a b a a
b a a a b a
b a a a a b
a a a a a a
a a a a b b
a a a b a b
a a a b b a
a a b a a b
a a b a b a
a a b b a a
a a b b b b
a b a a a b
a b a a b a
a b a b a a
a b a b b b
a b b a a a
a b b a b b
a b b b a b
a b b b b a
c c c c c c
c c c c 0 0
c c c 0 c 0
c c c 0 0 c
c c 0 c c 0
c c 0 c 0 c
c c 0 0 c c
c c 0 0 0 0
c 0 c c c 0
c 0 c c 0 c
c 0 c 0 c c
c 0 c 0 0 0
c 0 0 c c c
c 0 0 c 0 0
c 0 0 0 c 0
c 0 0 0 0 c
dmin: 2
Weight Enumerator: 1x0 + 0x1 + 15x2 + 0x3 + 15x4 + 0x5 + 33x6
Complete Weight Enumerator: (X_0)6 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_b)6 + (X_a)2 (X_b)4 + (X_a)2 (X_b)4 + (X_a)2 (X_b)4 + (X_a)2 (X_b)4 + (X_a)2 (X_b)4 + (X_a)2 (X_b)4 + (X_a)4 (X_b)2 + (X_a)2 (X_b)4 + (X_a)2 (X_b)4 + (X_a)2 (X_b)4 + (X_a)4 (X_b)2 + (X_a)2 (X_b)4 + (X_a)4 (X_b)2 + (X_a)4 (X_b)2 + (X_a)4 (X_b)2 + (X_a)6 + (X_a)4 (X_b)2 + (X_a)4 (X_b)2 + (X_a)4 (X_b)2 + (X_a)4 (X_b)2 + (X_a)4 (X_b)2 + (X_a)4 (X_b)2 + (X_a)2 (X_b)4 + (X_a)4 (X_b)2 + (X_a)4 (X_b)2 + (X_a)4 (X_b)2 + (X_a)2 (X_b)4 + (X_a)4 (X_b)2 + (X_a)2 (X_b)4 + (X_a)2 (X_b)4 + (X_a)2 (X_b)4 + (X_c)6 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)2 (X_c)4 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2 + (X_0)4 (X_c)2
Dual Codewords:
0 0 0 0 0 0
Is it a nice code?: No