n=5, k0=1, k1=0
Optimal Minimum Distance: 5
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 : 1,
Total No. of Nice Codes: 1

Generator Matrix-1

a 0 0 0 0
b 0 0 0 0

Codewords:

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

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

Dual Codewords:

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

Is it a nice code?: Yes

Generator Matrix-2

a 0 0 0 a
b 0 0 0 b

Codewords:

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

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

Dual Codewords:

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

Is it a nice code?: No

Generator Matrix-3

a 0 0 a 0
b 0 0 b 0

Codewords:

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

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

Dual Codewords:

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

Is it a nice code?: No

Generator Matrix-4

a 0 0 a a
b 0 0 b b

Codewords:

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

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

Dual Codewords:

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

Is it a nice code?: No

Generator Matrix-5

a 0 a 0 0
b 0 b 0 0

Codewords:

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

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

Dual Codewords:

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

Is it a nice code?: No

Generator Matrix-6

a 0 a 0 a
b 0 b 0 b

Codewords:

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

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

Dual Codewords:

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

Is it a nice code?: No

Generator Matrix-7

a 0 a a 0
b 0 b b 0

Codewords:

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

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

Dual Codewords:

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

Is it a nice code?: No

Generator Matrix-8

a 0 a a a
b 0 b b b

Codewords:

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

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

Dual Codewords:

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

Is it a nice code?: No

Generator Matrix-9

a a 0 0 0
b b 0 0 0

Codewords:

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

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

Dual Codewords:

Is it a nice code?: No

Generator Matrix-10

a a 0 0 a
b b 0 0 b

Codewords:

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

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

Dual Codewords:

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

Is it a nice code?: No

Generator Matrix-11

a a 0 a 0
b b 0 b 0

Codewords:

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

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

Dual Codewords:

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

Is it a nice code?: No

Generator Matrix-12

a a 0 a a
b b 0 b b

Codewords:

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

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

Dual Codewords:

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

Is it a nice code?: No

Generator Matrix-13

a a a 0 0
b b b 0 0

Codewords:

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

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

Dual Codewords:

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

Is it a nice code?: No

Generator Matrix-14

a a a 0 a
b b b 0 b

Codewords:

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

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

Dual Codewords:

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

Is it a nice code?: No

Generator Matrix-15

a a a a 0
b b b b 0

Codewords:

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

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

Is it a nice code?: No

Generator Matrix-16

a a a a a
b b b b b

Codewords:

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

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

Dual Codewords:

0 0 0 0 0

Generator Matrix-1

Codewords:

dmin: 1Weight Enumerator: 1x0 + 3x1 + 0x2 + 0x3 + 0x4 + 0x5Complete Weight Enumerator: (X_0)5 + (X_0)4 (X_b)1 + (X_0)4 (X_a)1 + (X_0)4 (X_c)1

Dual Codewords:

Is it a nice code?: Yes

Generator Matrix-2

Codewords:

dmin: 2Weight Enumerator: 1x0 + 0x1 + 3x2 + 0x3 + 0x4 + 0x5Complete Weight Enumerator: (X_0)5 + (X_0)3 (X_b)2 + (X_0)3 (X_a)2 + (X_0)3 (X_c)2

Dual Codewords:

Is it a nice code?: No

Generator Matrix-3

Codewords:

dmin: 2Weight Enumerator: 1x0 + 0x1 + 3x2 + 0x3 + 0x4 + 0x5Complete Weight Enumerator: (X_0)5 + (X_0)3 (X_b)2 + (X_0)3 (X_a)2 + (X_0)3 (X_c)2

Dual Codewords:

Is it a nice code?: No

Generator Matrix-4

Codewords:

dmin: 3Weight Enumerator: 1x0 + 0x1 + 0x2 + 3x3 + 0x4 + 0x5Complete Weight Enumerator: (X_0)5 + (X_0)2 (X_b)3 + (X_0)2 (X_a)3 + (X_0)2 (X_c)3

Dual Codewords:

Is it a nice code?: No

Generator Matrix-5

Codewords:

dmin: 2Weight Enumerator: 1x0 + 0x1 + 3x2 + 0x3 + 0x4 + 0x5Complete Weight Enumerator: (X_0)5 + (X_0)3 (X_b)2 + (X_0)3 (X_a)2 + (X_0)3 (X_c)2

Dual Codewords:

Is it a nice code?: No

Generator Matrix-6

Codewords:

dmin: 3Weight Enumerator: 1x0 + 0x1 + 0x2 + 3x3 + 0x4 + 0x5Complete Weight Enumerator: (X_0)5 + (X_0)2 (X_b)3 + (X_0)2 (X_a)3 + (X_0)2 (X_c)3

Dual Codewords:

Is it a nice code?: No

Generator Matrix-7

Codewords:

dmin: 3Weight Enumerator: 1x0 + 0x1 + 0x2 + 3x3 + 0x4 + 0x5Complete Weight Enumerator: (X_0)5 + (X_0)2 (X_b)3 + (X_0)2 (X_a)3 + (X_0)2 (X_c)3

Dual Codewords:

Is it a nice code?: No

Generator Matrix-8

Codewords:

dmin: 4Weight Enumerator: 1x0 + 0x1 + 0x2 + 0x3 + 3x4 + 0x5Complete Weight Enumerator: (X_0)5 + (X_0)1 (X_b)4 + (X_0)1 (X_a)4 + (X_0)1 (X_c)4

Dual Codewords:

Is it a nice code?: No

Generator Matrix-9

Codewords:

dmin: 2Weight Enumerator: 1x0 + 0x1 + 3x2 + 0x3 + 0x4 + 0x5Complete Weight Enumerator: (X_0)5 + (X_0)3 (X_b)2 + (X_0)3 (X_a)2 + (X_0)3 (X_c)2

Dual Codewords:

Is it a nice code?: No

Generator Matrix-10

Codewords:

dmin: 3Weight Enumerator: 1x0 + 0x1 + 0x2 + 3x3 + 0x4 + 0x5Complete Weight Enumerator: (X_0)5 + (X_0)2 (X_b)3 + (X_0)2 (X_a)3 + (X_0)2 (X_c)3

Dual Codewords:

Is it a nice code?: No

Generator Matrix-11

Codewords:

dmin: 3Weight Enumerator: 1x0 + 0x1 + 0x2 + 3x3 + 0x4 + 0x5Complete Weight Enumerator: (X_0)5 + (X_0)2 (X_b)3 + (X_0)2 (X_a)3 + (X_0)2 (X_c)3

Dual Codewords:

Is it a nice code?: No

Generator Matrix-12

Codewords:

dmin: 4Weight Enumerator: 1x0 + 0x1 + 0x2 + 0x3 + 3x4 + 0x5Complete Weight Enumerator: (X_0)5 + (X_0)1 (X_b)4 + (X_0)1 (X_a)4 + (X_0)1 (X_c)4

Dual Codewords:

Is it a nice code?: No

Generator Matrix-13

Codewords:

dmin: 3Weight Enumerator: 1x0 + 0x1 + 0x2 + 3x3 + 0x4 + 0x5Complete Weight Enumerator: (X_0)5 + (X_0)2 (X_b)3 + (X_0)2 (X_a)3 + (X_0)2 (X_c)3

Dual Codewords:

Is it a nice code?: No

Generator Matrix-14

Codewords:

dmin: 4Weight Enumerator: 1x0 + 0x1 + 0x2 + 0x3 + 3x4 + 0x5Complete Weight Enumerator: (X_0)5 + (X_0)1 (X_b)4 + (X_0)1 (X_a)4 + (X_0)1 (X_c)4

Dual Codewords:

Is it a nice code?: No

Generator Matrix-15

Codewords:

dmin: 4Weight Enumerator: 1x0 + 0x1 + 0x2 + 0x3 + 3x4 + 0x5Complete Weight Enumerator: (X_0)5 + (X_0)1 (X_b)4 + (X_0)1 (X_a)4 + (X_0)1 (X_c)4

Dual Codewords:

Is it a nice code?: No

Generator Matrix-16

Codewords:

dmin: 5Weight Enumerator: 1x0 + 0x1 + 0x2 + 0x3 + 0x4 + 3x5Complete Weight Enumerator: (X_0)5 + (X_b)5 + (X_a)5 + (X_c)5

Dual Codewords:

Is it a nice code?: No

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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