n=5, k0=0, k1=4
Optimal Minimum Distance: 2
Generator Matrices that generate Codes having Optimal Minimum Distance: 16,
Total No. of Codes having Optimal Minimum Distance: 1
Generator Matrices that generate Nice Codes : None
Total No. of Nice Codes: 0

Generator Matrix-1

c 0 0 0 0
0 c 0 0 0
0 0 c 0 0
0 0 0 c 0

Codewords:

0 0 0 0 0
0 0 0 c 0
0 0 c 0 0
0 0 c c 0
0 c 0 0 0
0 c 0 c 0
0 c c 0 0
0 c c c 0
c 0 0 0 0
c 0 0 c 0
c 0 c 0 0
c 0 c c 0
c c 0 0 0
c c 0 c 0
c c c 0 0
c c c c 0

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

Dual Codewords:

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

Is it a nice code?: No

Generator Matrix-2

c 0 0 0 0
0 c 0 0 0
0 0 c 0 0
0 0 0 c c

Codewords:

0 0 0 0 0
0 0 0 c c
0 0 c 0 0
0 0 c c c
0 c 0 0 0
0 c 0 c c
0 c c 0 0
0 c c c c
c 0 0 0 0
c 0 0 c c
c 0 c 0 0
c 0 c c c
c c 0 0 0
c c 0 c c
c c c 0 0
c c c c c

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

Dual Codewords:

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

Is it a nice code?: No

Generator Matrix-3

c 0 0 0 0
0 c 0 0 0
0 0 c 0 c
0 0 0 c 0

Codewords:

0 0 0 0 0
0 0 0 c 0
0 0 c 0 c
0 0 c c c
0 c 0 0 0
0 c 0 c 0
0 c c 0 c
0 c c c c
c 0 0 0 0
c 0 0 c 0
c 0 c 0 c
c 0 c c c
c c 0 0 0
c c 0 c 0
c c c 0 c
c c c c c

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

Dual Codewords:

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

Is it a nice code?: No

Generator Matrix-4

c 0 0 0 0
0 c 0 0 0
0 0 c 0 c
0 0 0 c c

Codewords:

0 0 0 0 0
0 0 0 c c
0 0 c 0 c
0 0 c c 0
0 c 0 0 0
0 c 0 c c
0 c c 0 c
0 c c c 0
c 0 0 0 0
c 0 0 c c
c 0 c 0 c
c 0 c c 0
c c 0 0 0
c c 0 c c
c c c 0 c
c c c c 0

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

Dual Codewords:

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

Is it a nice code?: No

Generator Matrix-5

c 0 0 0 0
0 c 0 0 c
0 0 c 0 0
0 0 0 c 0

Codewords:

0 0 0 0 0
0 0 0 c 0
0 0 c 0 0
0 0 c c 0
0 c 0 0 c
0 c 0 c c
0 c c 0 c
0 c c c c
c 0 0 0 0
c 0 0 c 0
c 0 c 0 0
c 0 c c 0
c c 0 0 c
c c 0 c c
c c c 0 c
c c c c c

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

Dual Codewords:

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

Is it a nice code?: No

Generator Matrix-6

c 0 0 0 0
0 c 0 0 c
0 0 c 0 0
0 0 0 c c

Codewords:

0 0 0 0 0
0 0 0 c c
0 0 c 0 0
0 0 c c c
0 c 0 0 c
0 c 0 c 0
0 c c 0 c
0 c c c 0
c 0 0 0 0
c 0 0 c c
c 0 c 0 0
c 0 c c c
c c 0 0 c
c c 0 c 0
c c c 0 c
c c c c 0

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

Dual Codewords:

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

Is it a nice code?: No

Generator Matrix-7

c 0 0 0 0
0 c 0 0 c
0 0 c 0 c
0 0 0 c 0

Codewords:

0 0 0 0 0
0 0 0 c 0
0 0 c 0 c
0 0 c c c
0 c 0 0 c
0 c 0 c c
0 c c 0 0
0 c c c 0
c 0 0 0 0
c 0 0 c 0
c 0 c 0 c
c 0 c c c
c c 0 0 c
c c 0 c c
c c c 0 0
c c c c 0

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

Dual Codewords:

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

Is it a nice code?: No

Generator Matrix-8

c 0 0 0 0
0 c 0 0 c
0 0 c 0 c
0 0 0 c c

Codewords:

0 0 0 0 0
0 0 0 c c
0 0 c 0 c
0 0 c c 0
0 c 0 0 c
0 c 0 c 0
0 c c 0 0
0 c c c c
c 0 0 0 0
c 0 0 c c
c 0 c 0 c
c 0 c c 0
c c 0 0 c
c c 0 c 0
c c c 0 0
c c c c c

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

Dual Codewords:

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

Is it a nice code?: No

Generator Matrix-9

c 0 0 0 c
0 c 0 0 0
0 0 c 0 0
0 0 0 c 0

Codewords:

0 0 0 0 0
0 0 0 c 0
0 0 c 0 0
0 0 c c 0
0 c 0 0 0
0 c 0 c 0
0 c c 0 0
0 c c c 0
c 0 0 0 c
c 0 0 c c
c 0 c 0 c
c 0 c c c
c c 0 0 c
c c 0 c c
c c c 0 c
c c c c c

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

Dual Codewords:

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

Is it a nice code?: No

Generator Matrix-10

c 0 0 0 c
0 c 0 0 0
0 0 c 0 0
0 0 0 c c

Codewords:

0 0 0 0 0
0 0 0 c c
0 0 c 0 0
0 0 c c c
0 c 0 0 0
0 c 0 c c
0 c c 0 0
0 c c c c
c 0 0 0 c
c 0 0 c 0
c 0 c 0 c
c 0 c c 0
c c 0 0 c
c c 0 c 0
c c c 0 c
c c c c 0

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

Dual Codewords:

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

Is it a nice code?: No

Generator Matrix-11

c 0 0 0 c
0 c 0 0 0
0 0 c 0 c
0 0 0 c 0

Codewords:

0 0 0 0 0
0 0 0 c 0
0 0 c 0 c
0 0 c c c
0 c 0 0 0
0 c 0 c 0
0 c c 0 c
0 c c c c
c 0 0 0 c
c 0 0 c c
c 0 c 0 0
c 0 c c 0
c c 0 0 c
c c 0 c c
c c c 0 0
c c c c 0

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

Dual Codewords:

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

Is it a nice code?: No

Generator Matrix-12

c 0 0 0 c
0 c 0 0 0
0 0 c 0 c
0 0 0 c c

Codewords:

0 0 0 0 0
0 0 0 c c
0 0 c 0 c
0 0 c c 0
0 c 0 0 0
0 c 0 c c
0 c c 0 c
0 c c c 0
c 0 0 0 c
c 0 0 c 0
c 0 c 0 0
c 0 c c c
c c 0 0 c
c c 0 c 0
c c c 0 0
c c c c c

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

Dual Codewords:

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

Is it a nice code?: No

Generator Matrix-13

c 0 0 0 c
0 c 0 0 c
0 0 c 0 0
0 0 0 c 0

Codewords:

0 0 0 0 0
0 0 0 c 0
0 0 c 0 0
0 0 c c 0
0 c 0 0 c
0 c 0 c c
0 c c 0 c
0 c c c c
c 0 0 0 c
c 0 0 c c
c 0 c 0 c
c 0 c c c
c c 0 0 0
c c 0 c 0
c c c 0 0
c c c c 0

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

Dual Codewords:

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

Is it a nice code?: No

Generator Matrix-14

c 0 0 0 c
0 c 0 0 c
0 0 c 0 0
0 0 0 c c

Codewords:

0 0 0 0 0
0 0 0 c c
0 0 c 0 0
0 0 c c c
0 c 0 0 c
0 c 0 c 0
0 c c 0 c
0 c c c 0
c 0 0 0 c
c 0 0 c 0
c 0 c 0 c
c 0 c c 0
c c 0 0 0
c c 0 c c
c c c 0 0
c c c c c

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

Dual Codewords:

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

Is it a nice code?: No

Generator Matrix-15

c 0 0 0 c
0 c 0 0 c
0 0 c 0 c
0 0 0 c 0

Codewords:

0 0 0 0 0
0 0 0 c 0
0 0 c 0 c
0 0 c c c
0 c 0 0 c
0 c 0 c c
0 c c 0 0
0 c c c 0
c 0 0 0 c
c 0 0 c c
c 0 c 0 0
c 0 c c 0
c c 0 0 0
c c 0 c 0
c c c 0 c
c c c c c

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

Dual Codewords:

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

Is it a nice code?: No

Generator Matrix-16

c 0 0 0 c
0 c 0 0 c
0 0 c 0 c
0 0 0 c c

Codewords:

0 0 0 0 0
0 0 0 c c
0 0 c 0 c
0 0 c c 0
0 c 0 0 c
0 c 0 c 0
0 c c 0 0
0 c c c c
c 0 0 0 c
c 0 0 c 0
c 0 c 0 0
c 0 c c c
c c 0 0 0
c c 0 c c
c c c 0 c
c c c c 0

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

Dual Codewords:

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

Is it a nice code?: No