n=3, k0=0, k1=2
Optimal Minimum Distance: 2
Generator Matrices that generate Codes having Optimal Minimum Distance: 4,
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 c 0
Codewords:
0 0 0
0 c 0
c 0 0
c c 0
dmin: 1
Weight Enumerator: 1x0 + 2x1 + 1x2 + 0x3
Complete Weight Enumerator: (X_0)3 + (X_0)2 (X_c)1 + (X_0)2 (X_c)1 + (X_0)1 (X_c)2
Dual Codewords:
0 0 0
0 0 a
0 0 b
0 0 c
0 a 0
0 a a
0 a b
0 a c
0 b 0
0 b a
0 b b
0 b c
0 c 0
0 c a
0 c b
0 c c
a 0 0
a 0 a
a 0 b
a 0 c
a a 0
a a a
a a b
a a c
a b 0
a b a
a b b
a b c
a c 0
a c a
a c b
a c c
b 0 0
b 0 a
b 0 b
b 0 c
b a 0
b a a
b a b
b a c
b b 0
b b a
b b b
b b c
b c 0
b c a
b c b
b c c
c 0 0
c 0 a
c 0 b
c 0 c
c a 0
c a a
c a b
c a c
c b 0
c b a
c b b
c b c
c c 0
c c a
c c b
c c c
Is it a nice code?: No
Generator Matrix-2
c 0 0
0 c c
Codewords:
0 0 0
0 c c
c 0 0
c c c
dmin: 1
Weight Enumerator: 1x0 + 1x1 + 1x2 + 1x3
Complete Weight Enumerator: (X_0)3 + (X_0)1 (X_c)2 + (X_0)2 (X_c)1 + (X_c)3
Dual Codewords:
0 0 0
0 0 a
0 0 b
0 0 c
0 a 0
0 a a
0 a b
0 a c
0 b 0
0 b a
0 b b
0 b c
0 c 0
0 c a
0 c b
0 c c
a 0 0
a 0 a
a 0 b
a 0 c
a a 0
a a a
a a b
a a c
a b 0
a b a
a b b
a b c
a c 0
a c a
a c b
a c c
b 0 0
b 0 a
b 0 b
b 0 c
b a 0
b a a
b a b
b a c
b b 0
b b a
b b b
b b c
b c 0
b c a
b c b
b c c
c 0 0
c 0 a
c 0 b
c 0 c
c a 0
c a a
c a b
c a c
c b 0
c b a
c b b
c b c
c c 0
c c a
c c b
c c c
Is it a nice code?: No
Generator Matrix-3
c 0 c
0 c 0
Codewords:
0 0 0
0 c 0
c 0 c
c c c
dmin: 1
Weight Enumerator: 1x0 + 1x1 + 1x2 + 1x3
Complete Weight Enumerator: (X_0)3 + (X_0)2 (X_c)1 + (X_0)1 (X_c)2 + (X_c)3
Dual Codewords:
0 0 0
0 0 a
0 0 b
0 0 c
0 a 0
0 a a
0 a b
0 a c
0 b 0
0 b a
0 b b
0 b c
0 c 0
0 c a
0 c b
0 c c
a 0 0
a 0 a
a 0 b
a 0 c
a a 0
a a a
a a b
a a c
a b 0
a b a
a b b
a b c
a c 0
a c a
a c b
a c c
b 0 0
b 0 a
b 0 b
b 0 c
b a 0
b a a
b a b
b a c
b b 0
b b a
b b b
b b c
b c 0
b c a
b c b
b c c
c 0 0
c 0 a
c 0 b
c 0 c
c a 0
c a a
c a b
c a c
c b 0
c b a
c b b
c b c
c c 0
c c a
c c b
c c c
Is it a nice code?: No
Generator Matrix-4
c 0 c
0 c c
Codewords:
0 0 0
0 c c
c 0 c
c c 0
dmin: 2
Weight Enumerator: 1x0 + 0x1 + 3x2 + 0x3
Complete Weight Enumerator: (X_0)3 + (X_0)1 (X_c)2 + (X_0)1 (X_c)2 + (X_0)1 (X_c)2
Dual Codewords:
0 0 0
0 0 a
0 0 b
0 0 c
0 a 0
0 a a
0 a b
0 a c
0 b 0
0 b a
0 b b
0 b c
0 c 0
0 c a
0 c b
0 c c
a 0 0
a 0 a
a 0 b
a 0 c
a a 0
a a a
a a b
a a c
a b 0
a b a
a b b
a b c
a c 0
a c a
a c b
a c c
b 0 0
b 0 a
b 0 b
b 0 c
b a 0
b a a
b a b
b a c
b b 0
b b a
b b b
b b c
b c 0
b c a
b c b
b c c
c 0 0
c 0 a
c 0 b
c 0 c
c a 0
c a a
c a b
c a c
c b 0
c b a
c b b
c b c
c c 0
c c a
c c b
c c c
Is it a nice code?: No