n=4, k0=0, k1=2
Optimal Minimum Distance: 2
Generator Matrices that generate Codes having Optimal Minimum Distance: 6, 7, 8, 10, 11, 12, 14, 15, 16,
Total No. of Codes having Optimal Minimum Distance: 9
Generator Matrices that generate Nice Codes : None
Total No. of Nice Codes: 0

Generator Matrix-1

c 0 0 0
0 c 0 0

Codewords:

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

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

Dual Codewords:

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

Is it a nice code?: No

Generator Matrix-2

c 0 0 0
0 c 0 c

Codewords:

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

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

Dual Codewords:

Is it a nice code?: No

Generator Matrix-3

c 0 0 0
0 c c 0

Codewords:

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

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

Dual Codewords:

Is it a nice code?: No

Generator Matrix-4

c 0 0 0
0 c c c

Codewords:

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

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

Dual Codewords:

Is it a nice code?: No

Generator Matrix-5

c 0 0 c
0 c 0 0

Codewords:

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

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

Dual Codewords:

Is it a nice code?: No

Generator Matrix-6

c 0 0 c
0 c 0 c

Codewords:

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

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

Dual Codewords:

Is it a nice code?: No

Generator Matrix-7

c 0 0 c
0 c c 0

Codewords:

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

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

Dual Codewords:

Is it a nice code?: No

Generator Matrix-8

c 0 0 c
0 c c c

Codewords:

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

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

Dual Codewords:

Is it a nice code?: No

Generator Matrix-9

c 0 c 0
0 c 0 0

Codewords:

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

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

Dual Codewords:

Is it a nice code?: No

Generator Matrix-10

c 0 c 0
0 c 0 c

Codewords:

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

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

Dual Codewords:

Is it a nice code?: No

Generator Matrix-11

c 0 c 0
0 c c 0

Codewords:

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

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

Dual Codewords:

Is it a nice code?: No

Generator Matrix-12

c 0 c 0
0 c c c

Codewords:

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

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

Dual Codewords:

Is it a nice code?: No

Generator Matrix-13

c 0 c c
0 c 0 0

Codewords:

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

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

Dual Codewords:

Is it a nice code?: No

Generator Matrix-14

c 0 c c
0 c 0 c

Codewords:

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

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

Dual Codewords:

Is it a nice code?: No

Generator Matrix-15

c 0 c c
0 c c 0

Codewords:

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

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

Dual Codewords:

Is it a nice code?: No

Generator Matrix-16

c 0 c c
0 c c c

Codewords:

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

Generator Matrix-1

Codewords:

dmin: 1Weight Enumerator: 1x0 + 2x1 + 1x2 + 0x3 + 0x4Complete Weight Enumerator: (X_0)4 + (X_0)3 (X_c)1 + (X_0)3 (X_c)1 + (X_0)2 (X_c)2

Dual Codewords:

Is it a nice code?: No

Generator Matrix-2

Codewords:

dmin: 1Weight Enumerator: 1x0 + 1x1 + 1x2 + 1x3 + 0x4Complete Weight Enumerator: (X_0)4 + (X_0)2 (X_c)2 + (X_0)3 (X_c)1 + (X_0)1 (X_c)3

Dual Codewords:

Is it a nice code?: No

Generator Matrix-3

Codewords:

dmin: 1Weight Enumerator: 1x0 + 1x1 + 1x2 + 1x3 + 0x4Complete Weight Enumerator: (X_0)4 + (X_0)2 (X_c)2 + (X_0)3 (X_c)1 + (X_0)1 (X_c)3

Dual Codewords:

Is it a nice code?: No

Generator Matrix-4

Codewords:

dmin: 1Weight Enumerator: 1x0 + 1x1 + 0x2 + 1x3 + 1x4Complete Weight Enumerator: (X_0)4 + (X_0)1 (X_c)3 + (X_0)3 (X_c)1 + (X_c)4

Dual Codewords:

Is it a nice code?: No

Generator Matrix-5

Codewords:

dmin: 1Weight Enumerator: 1x0 + 1x1 + 1x2 + 1x3 + 0x4Complete Weight Enumerator: (X_0)4 + (X_0)3 (X_c)1 + (X_0)2 (X_c)2 + (X_0)1 (X_c)3

Dual Codewords:

Is it a nice code?: No

Generator Matrix-6

Codewords:

dmin: 2Weight Enumerator: 1x0 + 0x1 + 3x2 + 0x3 + 0x4Complete Weight Enumerator: (X_0)4 + (X_0)2 (X_c)2 + (X_0)2 (X_c)2 + (X_0)2 (X_c)2

Dual Codewords:

Is it a nice code?: No

Generator Matrix-7

Codewords:

dmin: 2Weight Enumerator: 1x0 + 0x1 + 2x2 + 0x3 + 1x4Complete Weight Enumerator: (X_0)4 + (X_0)2 (X_c)2 + (X_0)2 (X_c)2 + (X_c)4

Dual Codewords:

Is it a nice code?: No

Generator Matrix-8

Codewords:

dmin: 2Weight Enumerator: 1x0 + 0x1 + 1x2 + 2x3 + 0x4Complete Weight Enumerator: (X_0)4 + (X_0)1 (X_c)3 + (X_0)2 (X_c)2 + (X_0)1 (X_c)3

Dual Codewords:

Is it a nice code?: No

Generator Matrix-9

Codewords:

dmin: 1Weight Enumerator: 1x0 + 1x1 + 1x2 + 1x3 + 0x4Complete Weight Enumerator: (X_0)4 + (X_0)3 (X_c)1 + (X_0)2 (X_c)2 + (X_0)1 (X_c)3

Dual Codewords:

Is it a nice code?: No

Generator Matrix-10

Codewords:

dmin: 2Weight Enumerator: 1x0 + 0x1 + 2x2 + 0x3 + 1x4Complete Weight Enumerator: (X_0)4 + (X_0)2 (X_c)2 + (X_0)2 (X_c)2 + (X_c)4

Dual Codewords:

Is it a nice code?: No

Generator Matrix-11

Codewords:

dmin: 2Weight Enumerator: 1x0 + 0x1 + 3x2 + 0x3 + 0x4Complete Weight Enumerator: (X_0)4 + (X_0)2 (X_c)2 + (X_0)2 (X_c)2 + (X_0)2 (X_c)2

Dual Codewords:

Is it a nice code?: No

Generator Matrix-12

Codewords:

dmin: 2Weight Enumerator: 1x0 + 0x1 + 1x2 + 2x3 + 0x4Complete Weight Enumerator: (X_0)4 + (X_0)1 (X_c)3 + (X_0)2 (X_c)2 + (X_0)1 (X_c)3

Dual Codewords:

Is it a nice code?: No

Generator Matrix-13

Codewords:

dmin: 1Weight Enumerator: 1x0 + 1x1 + 0x2 + 1x3 + 1x4Complete Weight Enumerator: (X_0)4 + (X_0)3 (X_c)1 + (X_0)1 (X_c)3 + (X_c)4

Dual Codewords:

Is it a nice code?: No

Generator Matrix-14

Codewords:

dmin: 2Weight Enumerator: 1x0 + 0x1 + 1x2 + 2x3 + 0x4Complete Weight Enumerator: (X_0)4 + (X_0)2 (X_c)2 + (X_0)1 (X_c)3 + (X_0)1 (X_c)3

Dual Codewords:

Is it a nice code?: No

Generator Matrix-15

Codewords:

dmin: 2Weight Enumerator: 1x0 + 0x1 + 1x2 + 2x3 + 0x4Complete Weight Enumerator: (X_0)4 + (X_0)2 (X_c)2 + (X_0)1 (X_c)3 + (X_0)1 (X_c)3

Dual Codewords:

Is it a nice code?: No

Generator Matrix-16

Codewords:

dmin: 2Weight Enumerator: 1x0 + 0x1 + 1x2 + 2x3 + 0x4Complete Weight Enumerator: (X_0)4 + (X_0)1 (X_c)3 + (X_0)1 (X_c)3 + (X_0)2 (X_c)2

Dual Codewords:

Is it a nice code?: No

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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