Code4

Database for the paper “On constructions of symplectic self-orthogonal codes and related applications”

Table 1: Hamming optimal binary symplectic self-orthogonal codes

n=4

[4, 1, 4] Cyclic Linear Code over GF(2)
Generator matrix:
[1 1 1 1]

[4, 2, 2] Linear Code over GF(2)
Generator matrix:
[1 0 1 1]
[0 1 1 0]

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n=6

[6, 1, 6] Cyclic Linear Code over GF(2)
Generator matrix:
[1 1 1 1 1 1]

[6, 2, 4] Quasicyclic of degree 3 Linear Code over GF(2)
Generator matrix:
[1 0 1 1 0 1]
[0 1 1 1 1 0]

[6, 3, 3] Linear Code over GF(2)
Generator matrix:
[1 0 0 1 1 0]
[0 1 0 1 1 1]
[0 0 1 0 1 1]

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n=8

[8, 1, 8] Cyclic Linear Code over GF(2)
Generator matrix:
[1 1 1 1 1 1 1 1]

[8, 2, 5] Linear Code over GF(2)
Generator matrix:
[1 1 1 0 0 1 0 1]
[0 0 0 1 1 1 1 1]

[8, 3, 4] Linear Code over GF(2)
Generator matrix:
[0 1 0 0 1 1 0 1]
[0 0 1 0 1 0 1 1]
[0 0 0 1 0 1 1 1]

[8, 4, 4] Linear Code over GF(2)
Generator matrix:
[1 0 0 0 1 1 1 0]
[0 1 0 0 1 1 0 1]
[0 0 1 0 1 0 1 1]
[0 0 0 1 0 1 1 1]

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n=10

[10, 1, 10] Cyclic Linear Code over GF(2)
Generator matrix:
[1 1 1 1 1 1 1 1 1 1]

[10, 2, 6] Linear Code over GF(2)
Generator matrix:
[1 0 0 1 1 0 1 1 1 1]
[0 1 1 0 1 1 0 0 1 1]

[10, 3, 5] Linear Code over GF(2)
Generator matrix:
[1 0 0 1 1 0 1 0 1 0]
[0 1 0 1 0 0 0 1 1 1]
[0 0 1 1 0 1 1 0 1 1]

[10, 4, 4] Linear Code over GF(2)
Generator matrix:
[1 1 0 0 0 0 0 0 1 1]
[0 0 1 0 0 0 0 1 1 1]
[0 0 0 1 0 1 0 1 1 0]
[0 0 0 0 1 1 0 1 0 1]

[10, 5, 3] Linear Code over GF(2)
Generator matrix:
[1 0 0 0 0 0 0 0 1 1]
[0 1 0 0 1 1 0 1 0 1]
[0 0 1 0 1 1 0 1 1 0]
[0 0 0 1 1 0 0 0 1 1]
[0 0 0 0 0 0 1 1 1 1]

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n=12

[12, 1, 12] Cyclic Linear Code over GF(2)
Generator matrix:
[1 1 1 1 1 1 1 1 1 1 1 1]

[12, 2, 8] Linear Code over GF(2)
Generator matrix:
[1 0 1 1 1 0 1 0 0 1 1 1]
[0 1 0 1 1 1 1 1 1 0 1 0]

[12, 3, 6] Linear Code over GF(2)
Generator matrix:
[1 0 0 0 0 1 1 1 0 1 0 1]
[0 0 1 0 1 1 0 1 0 0 1 1]
[0 0 0 1 1 0 0 0 1 1 1 1]

[12, 4, 6] Linear Code over GF(2)
Generator matrix:
[1 0 0 0 0 1 0 0 1 1 1 1]
[0 1 0 0 1 0 1 1 1 1 0 0]
[0 0 1 0 0 1 1 1 0 1 0 1]
[0 0 0 1 1 1 1 0 0 1 1 0]

[12, 5, 4] Linear Code over GF(2)
Generator matrix:
[1 0 0 0 1 0 1 1 0 1 1 0]
[0 1 0 0 0 0 1 1 0 0 0 1]
[0 0 1 0 1 0 1 0 0 1 0 0]
[0 0 0 1 0 0 0 0 0 1 1 1]
[0 0 0 0 0 1 0 1 0 1 0 1]

[12, 6, 3] Linear Code over GF(2)
Generator matrix:
[1 0 0 0 1 1 0 1 0 1 0 1]
[0 1 0 0 1 1 0 0 0 0 0 0]
[0 0 1 0 0 1 0 1 0 1 0 1]
[0 0 0 1 1 0 0 1 0 1 0 1]
[0 0 0 0 0 0 1 1 0 1 1 0]
[0 0 0 0 0 0 0 0 1 1 1 1]

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n=14

[14, 1, 14] Cyclic Linear Code over GF(2)
Generator matrix:
[1 1 1 1 1 1 1 1 1 1 1 1 1 1]

[14, 2, 9] Linear Code over GF(2)
Generator matrix:
[1 1 0 0 1 1 1 0 1 1 1 1 1 0]
[0 0 1 1 1 1 1 1 0 1 1 0 0 1]

[14, 3, 8] Linear Code over GF(2)
Generator matrix:
[1 0 0 1 1 1 1 0 1 0 1 1 0 0]
[0 1 0 1 0 1 0 1 0 1 1 1 0 1]
[0 0 1 0 1 1 0 1 1 1 0 1 1 0]

[14, 4, 7] Linear Code over GF(2)
Generator matrix:
[1 0 0 0 1 1 1 1 0 1 1 0 1 0]
[0 1 0 0 0 1 0 1 1 1 0 1 1 0]
[0 0 1 0 1 0 1 0 1 1 0 1 1 1]
[0 0 0 1 0 0 1 1 1 0 1 0 1 1]

[14, 5, 6] Linear Code over GF(2)
Generator matrix:
[1 0 0 0 0 1 0 0 0 1 1 1 0 1]
[0 1 0 0 0 0 0 1 1 0 1 1 1 0]
[0 0 1 0 0 1 0 1 1 1 0 1 0 0]
[0 0 0 1 0 0 0 0 1 1 0 1 1 1]
[0 0 0 0 1 0 1 1 1 0 0 0 1 1]

[14, 6, 5] Linear Code over GF(2)
Generator matrix:
[1 0 0 0 0 0 0 1 0 1 1 0 0 1]
[0 1 0 0 0 0 1 1 0 1 0 1 1 1]
[0 0 1 0 0 0 0 1 1 0 1 1 0 0]
[0 0 0 1 0 0 1 0 0 1 1 1 0 1]
[0 0 0 0 1 0 0 0 1 1 1 1 1 0]
[0 0 0 0 0 1 0 0 0 0 1 1 1 1]

[14, 7, 4] Linear Code over GF(2)
Generator matrix:
[1 0 0 0 0 0 0 1 1 1 0 1 1 0]
[0 1 0 0 0 0 0 1 0 0 0 1 1 0]
[0 0 1 0 0 0 0 1 0 1 0 0 1 1]
[0 0 0 1 0 0 1 0 0 1 0 1 0 1]
[0 0 0 0 1 0 1 1 1 1 0 0 0 0]
[0 0 0 0 0 1 1 1 1 0 0 1 0 1]
[0 0 0 0 0 0 0 0 0 0 1 1 1 1]

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n=16

[16, 1, 16] Cyclic Linear Code over GF(2)
Generator matrix:
[1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1]

[16, 2, 10] Linear Code over GF(2)
Generator matrix:
[1 1 0 0 0 1 0 1 0 1 1 1 1 1 1 1]
[0 0 1 1 1 1 1 0 1 1 0 0 1 0 1 1]

[16, 3, 8] Linear Code over GF(2)
Generator matrix:
[1 1 0 0 1 1 1 0 1 0 1 0 1 0 0 0]
[0 0 1 0 0 1 1 1 1 1 1 0 0 0 1 0]
[0 0 0 1 1 1 0 0 0 1 1 1 1 0 1 0]

[16, 4, 8] Linear Code over GF(2)
Generator matrix:
[1 0 0 0 0 1 1 0 0 1 1 1 1 0 0 1]
[0 1 0 0 0 0 1 1 1 1 0 0 1 1 0 1]
[0 0 1 0 1 1 1 1 0 1 1 0 0 1 0 0]
[0 0 0 1 1 1 0 1 1 1 0 1 1 0 0 0]

[16, 5, 8] Linear Code over GF(2)
Generator matrix:
[1 0 0 0 0 0 1 1 0 1 1 0 1 1 1 0]
[0 1 0 0 0 1 0 1 1 1 1 0 0 1 0 1]
[0 0 1 0 0 1 1 0 0 1 1 1 1 0 0 1]
[0 0 0 1 0 1 1 0 1 0 1 1 0 1 1 0]
[0 0 0 0 1 0 0 1 1 0 1 1 1 0 1 1]

[16, 6, 6] Linear Code over GF(2)
Generator matrix:
[1 0 0 0 0 0 0 1 0 1 0 1 0 1 0 1]
[0 0 1 0 0 0 0 1 0 0 0 0 1 1 1 1]
[0 0 0 1 0 0 0 1 0 1 1 1 1 0 0 0]
[0 0 0 0 1 0 0 0 1 1 0 0 0 1 1 1]
[0 0 0 0 0 1 0 0 1 1 1 0 1 1 0 0]
[0 0 0 0 0 0 1 0 1 1 0 1 1 0 0 1]

[16, 7, 6] Linear Code over GF(2)
Generator matrix:
[1 0 0 0 0 0 1 1 1 0 0 1 1 0 1 1]
[0 1 0 0 0 0 1 0 0 0 0 1 1 1 0 1]
[0 0 1 0 0 0 0 1 1 0 1 0 1 1 1 1]
[0 0 0 1 0 0 0 1 0 0 1 1 1 1 0 0]
[0 0 0 0 1 0 1 0 1 0 0 1 0 1 1 0]
[0 0 0 0 0 1 1 1 1 0 0 0 0 1 0 1]
[0 0 0 0 0 0 0 0 0 1 1 1 1 0 1 1]

[16, 8, 5] Linear Code over GF(2)
Generator matrix:
[1 0 0 0 0 0 1 0 0 0 1 0 0 1 1 1]
[0 1 0 0 0 0 1 0 0 0 1 1 1 0 1 1]
[0 0 1 0 0 0 1 0 0 0 1 1 0 1 0 0]
[0 0 0 1 0 0 1 0 0 1 0 1 0 1 1 1]
[0 0 0 0 1 0 1 0 0 1 1 0 0 0 1 0]
[0 0 0 0 0 1 0 0 0 1 0 0 1 0 1 1]
[0 0 0 0 0 0 0 1 0 0 1 0 1 1 1 0]
[0 0 0 0 0 0 0 0 1 1 1 1 1 0 1 0]

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n=18

[18, 1, 18] Cyclic Linear Code over GF(2)
Generator matrix:
[1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1]

[18, 2, 12] Linear Code over GF(2)
Generator matrix:
[1 0 0 0 1 1 1 1 1 0 1 0 0 1 1 1 1 1]
[0 1 1 1 1 1 1 0 0 1 0 1 1 1 1 1 0 0]

[18, 3, 10] Linear Code over GF(2)
Generator matrix:
[1 0 0 0 1 1 1 1 1 1 0 1 1 0 1 0 0 0]
[0 1 0 1 1 1 0 0 0 0 1 0 1 1 1 1 1 0]
[0 0 1 0 0 1 1 0 1 1 0 0 0 1 1 1 1 1]

[18, 4, 8] Linear Code over GF(2)
Generator matrix:
[1 0 0 0 0 0 0 1 0 0 0 1 1 1 1 1 0 1]
[0 1 0 0 0 0 0 0 1 0 1 1 1 0 1 0 1 1]
[0 0 1 0 1 1 0 0 0 0 0 1 1 0 1 1 1 0]
[0 0 0 1 0 1 0 0 1 0 0 1 0 1 0 1 1 1]

[18, 5, 8] Linear Code over GF(2)
Generator matrix:
[1 0 0 0 0 0 0 0 1 1 0 1 0 1 1 1 1 0]
[0 1 0 0 0 0 1 0 1 0 1 1 0 1 0 0 1 1]
[0 0 1 0 0 0 1 1 0 0 0 1 0 0 1 1 1 1]
[0 0 0 1 0 0 1 0 1 1 1 0 1 1 1 0 0 0]
[0 0 0 0 0 1 0 0 1 0 1 1 1 0 1 1 0 1]

[18, 6, 8] Linear Code over GF(2)
Generator matrix:
[1 0 0 0 0 0 1 1 1 0 1 1 0 1 0 0 1 0]
[0 1 0 0 0 0 1 1 1 0 0 0 1 0 1 1 1 0]
[0 0 1 0 0 0 1 1 0 0 0 1 1 1 0 1 0 1]
[0 0 0 1 0 0 1 1 1 1 1 0 0 0 0 1 0 1]
[0 0 0 0 1 0 0 1 1 1 0 1 0 1 1 1 0 0]
[0 0 0 0 0 1 0 1 1 1 0 0 1 1 0 0 1 1]

[18, 7, 7] Linear Code over GF(2)
Generator matrix:
[1 0 0 0 0 0 0 0 1 1 1 1 1 0 1 0 1 0]
[0 1 0 0 0 0 0 0 1 0 1 1 0 1 1 1 0 1]
[0 0 1 0 0 0 0 0 0 1 1 1 0 1 0 1 1 0]
[0 0 0 1 0 0 1 0 1 1 0 1 0 1 1 0 0 0]
[0 0 0 0 1 0 0 0 0 1 0 1 1 0 1 1 0 1]
[0 0 0 0 0 1 1 0 0 0 1 1 1 0 0 1 1 1]
[0 0 0 0 0 0 0 1 1 0 0 1 1 1 0 0 1 1]

[18, 8, 6] Linear Code over GF(2)
Generator matrix:
[1 0 0 0 0 0 0 0 0 1 1 1 0 1 0 0 1 0]
[0 0 1 0 0 0 0 0 0 1 0 1 1 1 1 0 0 0]
[0 0 0 1 0 0 0 0 0 0 1 1 1 1 0 1 1 1]
[0 0 0 0 1 0 0 0 0 1 1 1 1 0 0 1 0 0]
[0 0 0 0 0 1 0 0 0 0 1 1 0 0 1 1 0 1]
[0 0 0 0 0 0 1 0 0 0 1 0 1 1 1 0 0 1]
[0 0 0 0 0 0 0 1 0 1 1 0 1 0 0 0 1 1]
[0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 1 1 1]

[18, 9, 6] Linear Code over GF(2)
Generator matrix:
[1 0 0 0 0 0 0 0 0 1 0 1 1 1 1 1 0 1]
[0 1 0 0 0 0 0 1 0 0 0 0 1 0 0 1 1 1]
[0 0 1 0 0 0 0 1 0 1 0 0 1 1 1 0 1 1]
[0 0 0 1 0 0 0 1 0 1 0 0 1 1 0 1 0 0]
[0 0 0 0 1 0 0 1 0 1 0 1 0 1 0 1 1 1]
[0 0 0 0 0 1 0 1 0 1 0 1 1 0 0 0 1 0]
[0 0 0 0 0 0 1 0 0 1 0 1 0 0 1 0 1 1]
[0 0 0 0 0 0 0 0 1 1 0 0 1 0 1 1 1 0]
[0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 0 1 0]

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n=20

[20, 1, 20] Cyclic Linear Code over GF(2)
Generator matrix:
[1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1]

[20, 2, 13] Linear Code over GF(2)
Generator matrix:
[1 0 1 1 0 1 0 0 1 1 1 1 0 0 1 1 1 1 1 0]
[0 1 0 1 1 1 1 1 1 1 0 0 1 1 1 1 0 0 0 1]

[20, 3, 11] Linear Code over GF(2)
Generator matrix:
[1 0 0 0 1 0 0 1 0 0 1 0 0 1 1 1 1 1 1 1]
[0 1 1 0 1 0 1 1 1 1 0 1 0 0 0 0 1 1 1 0]
[0 0 0 1 0 1 1 1 1 0 0 1 1 1 1 1 1 0 1 0]

[20, 4, 10] Linear Code over GF(2)
Generator matrix:
[1 0 0 1 0 0 0 1 1 1 1 0 0 1 0 1 1 1 1 1]
[0 1 0 0 0 1 1 0 1 0 1 0 1 1 0 0 0 1 1 1]
[0 0 1 0 0 1 0 1 0 1 1 1 1 0 0 0 1 0 1 1]
[0 0 0 0 1 1 0 1 1 1 0 0 1 0 1 1 0 1 0 1]

[20, 5, 9] Linear Code over GF(2)
Generator matrix:
[1 0 0 0 0 0 1 1 1 0 1 0 0 0 1 1 1 0 1 1]
[0 1 0 0 1 0 0 1 0 1 1 0 0 1 1 1 0 1 0 0]
[0 0 1 0 0 0 0 1 1 0 0 1 1 1 0 1 1 1 1 1]
[0 0 0 1 1 0 1 1 1 1 0 1 1 0 1 0 0 1 1 0]
[0 0 0 0 0 1 1 1 1 1 1 0 1 1 0 0 1 0 0 0]

[20, 6, 8] Linear Code over GF(2)
Generator matrix:
[1 0 0 0 0 0 0 0 0 1 0 1 0 1 1 0 0 1 1 1]
[0 1 0 0 0 0 0 1 0 1 1 0 1 1 1 0 0 0 1 0]
[0 0 1 0 0 0 0 1 1 1 1 1 0 1 0 0 0 1 0 0]
[0 0 0 1 0 0 0 1 1 0 0 0 1 1 0 0 0 1 1 1]
[0 0 0 0 1 0 0 0 1 0 1 1 1 1 1 0 0 0 0 1]
[0 0 0 0 0 0 1 0 0 1 1 1 1 0 1 1 0 1 0 0]

[20, 7, 8] Linear Code over GF(2)
Generator matrix:
[1 0 0 0 0 0 1 0 1 0 0 1 0 1 0 0 1 0 1 1]
[0 1 0 0 0 0 0 0 0 0 0 1 1 1 0 1 1 1 0 1]
[0 0 1 0 0 0 1 0 0 1 0 1 1 1 1 0 0 0 0 1]
[0 0 0 1 0 0 1 0 0 0 0 0 1 0 1 1 1 0 1 1]
[0 0 0 0 1 0 1 0 1 1 0 0 1 1 0 1 1 0 0 0]
[0 0 0 0 0 1 0 0 1 0 0 1 1 0 1 0 0 1 1 1]
[0 0 0 0 0 0 0 1 0 1 0 0 1 1 1 1 0 1 1 0]

[20, 8, 8] Linear Code over GF(2)
Generator matrix:
[1 0 0 0 0 0 1 0 1 0 1 1 1 0 0 1 0 0 0 1]
[0 1 0 0 0 0 1 0 1 0 1 1 1 1 1 1 1 1 1 0]
[0 0 1 0 0 0 0 0 1 0 1 0 1 0 1 0 1 0 1 1]
[0 0 0 1 0 0 1 0 0 0 1 1 0 1 1 0 0 0 1 1]
[0 0 0 0 1 0 0 0 1 0 1 1 0 1 0 0 1 1 0 1]
[0 0 0 0 0 1 1 0 1 0 0 0 1 1 0 0 0 1 1 1]
[0 0 0 0 0 0 0 1 0 0 0 1 1 1 0 1 1 0 1 1]
[0 0 0 0 0 0 0 0 0 1 1 0 1 1 1 1 0 1 0 1]

[20, 9, 6] Linear Code over GF(2)
Generator matrix:
[1 0 0 0 0 0 1 0 0 0 1 0 1 1 0 0 1 1 0 1]
[0 1 0 0 0 0 1 0 0 0 0 1 0 0 0 1 1 1 1 1]
[0 0 1 0 0 0 1 0 0 0 1 0 0 1 1 0 1 0 1 1]
[0 0 0 1 0 0 0 0 0 0 0 1 0 1 1 1 1 0 0 0]
[0 0 0 0 1 0 0 0 0 0 0 0 1 1 1 1 0 1 1 1]
[0 0 0 0 0 1 1 0 0 0 0 1 0 0 1 0 1 0 0 1]
[0 0 0 0 0 0 0 1 0 0 0 0 1 0 1 1 1 0 0 1]
[0 0 0 0 0 0 0 0 1 0 0 1 1 0 1 0 0 0 1 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 1 1 1 1]

[20, 10, 5] Linear Code over GF(2)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 1 0 1 1 1 1 1 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 1 1 1]
[0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 0 0]
[0 0 0 1 0 0 0 0 0 0 1 0 0 0 1 1 1 0 0 0]
[0 0 0 0 1 0 0 0 0 0 1 0 1 1 0 0 1 1 0 1]
[0 0 0 0 0 1 0 0 0 0 1 0 0 1 0 1 0 1 0 0]
[0 0 0 0 0 0 1 0 0 0 1 0 0 1 1 0 0 0 0 1]
[0 0 0 0 0 0 0 1 0 0 0 1 1 0 1 1 0 0 0 1]
[0 0 0 0 0 0 0 0 1 0 1 1 0 0 0 0 0 0 1 1]
[0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 0 1 1 1 0]

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n=22

[22, 1, 22] Cyclic Linear Code over GF(2)
Generator matrix:
[1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1]

[22, 2, 14] Linear Code over GF(2)
Generator matrix:
[1 1 0 1 1 1 0 0 1 0 0 0 1 1 1 0 1 1 1 1 1 0]
[0 0 1 0 0 1 1 1 1 1 1 1 1 0 1 1 0 1 1 0 1 1]

[22, 3, 12] Linear Code over GF(2)
Generator matrix:
[1 0 1 1 0 1 0 0 1 0 1 0 1 0 1 1 1 1 0 0 1 0]
[0 1 0 0 0 0 1 1 0 1 1 1 1 0 0 1 1 1 0 1 1 0]
[0 0 0 0 1 1 1 1 0 0 0 0 1 1 1 1 0 1 1 0 1 1]

[22, 4, 11] Linear Code over GF(2)
Generator matrix:
[1 0 0 1 0 0 0 0 0 1 1 1 1 1 1 0 1 0 1 0 0 1]
[0 1 0 1 0 0 1 0 1 1 1 1 1 0 0 1 1 1 0 1 0 0]
[0 0 1 1 0 0 1 1 0 0 1 0 0 0 1 1 1 0 1 1 1 0]
[0 0 0 0 1 1 1 1 1 0 1 0 1 1 0 1 1 0 0 0 0 1]

[22, 5, 10] Linear Code over GF(2)
Generator matrix:
[1 0 0 0 0 1 0 0 1 1 1 0 0 0 0 0 1 1 1 1 1 0]
[0 1 0 0 0 0 0 1 0 1 0 1 1 0 0 0 1 1 1 0 1 1]
[0 0 1 0 0 0 1 0 0 1 1 1 1 1 1 1 0 1 1 1 1 1]
[0 0 0 1 0 0 0 1 1 1 1 0 0 1 1 0 0 1 1 0 0 1]
[0 0 0 0 1 1 0 0 1 0 0 0 1 1 1 1 0 0 1 1 1 0]

[22, 6, 9] Linear Code over GF(2)
Generator matrix:
[1 0 0 0 0 0 0 1 1 1 1 1 0 1 0 1 0 1 0 1 0 0]
[0 1 0 0 0 1 0 1 0 0 0 1 0 1 0 1 1 1 1 0 1 1]
[0 0 1 0 0 1 0 0 0 1 1 1 0 0 1 1 0 0 0 0 1 1]
[0 0 0 1 0 0 0 0 1 1 1 0 1 0 1 1 0 0 1 1 0 1]
[0 0 0 0 1 0 0 0 1 0 0 0 1 1 1 0 1 1 1 0 1 0]
[0 0 0 0 0 0 1 1 0 1 0 1 0 1 1 0 1 0 0 1 0 1]

[22, 7, 8] Linear Code over GF(2)
Generator matrix:
[1 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0 0 0 1 0 1 1]
[0 1 0 0 0 0 0 0 1 0 1 0 1 1 1 1 0 1 0 0 0 0]
[0 0 1 0 0 0 0 0 1 0 0 1 1 1 1 0 0 0 1 0 1 0]
[0 0 0 0 1 0 0 0 0 1 0 1 1 1 0 1 0 1 1 0 0 0]
[0 0 0 0 0 1 0 0 1 0 0 0 1 0 0 1 0 1 1 0 1 1]
[0 0 0 0 0 0 1 0 1 0 1 1 0 0 1 0 0 1 0 0 1 1]
[0 0 0 0 0 0 0 1 1 1 0 1 1 0 1 1 0 0 0 0 0 1]

[22, 8, 8] Linear Code over GF(2)
Generator matrix:
[1 0 0 0 0 0 0 0 1 0 1 1 0 0 1 1 1 1 0 1 1 0]
[0 1 0 0 0 0 0 0 0 0 1 1 0 0 0 1 1 1 1 0 0 1]
[0 0 1 0 0 0 0 0 1 0 1 0 0 1 0 0 1 0 1 0 1 1]
[0 0 0 1 0 0 0 0 1 1 1 1 0 0 0 0 1 0 0 1 0 1]
[0 0 0 0 1 0 0 0 1 1 0 1 0 1 0 1 1 1 1 1 1 1]
[0 0 0 0 0 1 0 0 1 0 1 1 0 1 0 0 0 1 1 1 0 0]
[0 0 0 0 0 0 1 0 0 1 0 0 0 1 1 0 1 0 0 1 1 1]
[0 0 0 0 0 0 0 1 0 1 1 1 0 1 0 0 1 1 0 0 1 0]

[22, 9, 8] Linear Code over GF(2)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 1 1 1 0 1 1 1 1 0 1 0 1]
[0 1 0 0 0 0 0 0 0 1 0 1 0 1 1 0 0 0 1 1 1 0]
[0 0 1 0 0 0 0 0 0 1 0 1 0 1 1 1 1 0 0 0 0 1]
[0 0 0 1 0 0 0 0 0 1 0 0 1 0 1 0 1 0 1 0 1 1]
[0 0 0 0 1 0 0 0 0 0 0 1 0 1 0 1 1 1 1 1 0 0]
[0 0 0 0 0 1 0 0 0 1 0 0 1 1 0 1 0 0 1 1 0 1]
[0 0 0 0 0 0 1 0 0 1 0 1 1 0 1 1 0 1 1 0 0 0]
[0 0 0 0 0 0 0 1 0 0 1 1 0 0 1 1 1 0 1 0 1 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 1 0 1 1 0 1 1]

[22, 10, 6] Linear Code over GF(2)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 1 0 1 1 1 1]
[0 1 0 0 0 0 0 0 0 0 1 1 1 1 1 0 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 1 0 0 0 1 1 1 1 1 0 1]
[0 0 0 1 0 0 0 0 0 0 1 1 1 1 0 0 1 0 0 1 1 0]
[0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 1 1 1 1 0 0 0]
[0 0 0 0 0 1 0 0 0 0 1 0 0 0 1 1 0 1 1 0 0 0]
[0 0 0 0 0 0 1 0 0 0 1 1 0 0 0 1 1 0 0 1 0 0]
[0 0 0 0 0 0 0 1 0 0 0 1 0 1 0 1 1 0 0 0 1 0]
[0 0 0 0 0 0 0 0 1 0 1 0 0 0 1 0 0 1 0 1 1 0]
[0 0 0 0 0 0 0 0 0 1 1 0 0 1 1 0 0 0 1 1 0 0]

[22, 11, 5] Linear Code over GF(2)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 1 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 1 1 0 1 0]
[0 0 1 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 0 0 0 1]
[0 0 0 1 0 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 0 0]
[0 0 0 0 1 0 0 0 0 0 0 1 1 1 0 1 1 1 1 1 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 1 0 1 1 0 0 1 1 0 1]
[0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 1 0 1 0 1 0 0]
[0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 1 1 0 0 0 0 1]
[0 0 0 0 0 0 0 0 1 0 0 1 0 0 1 1 1 1 0 1 1 1]
[0 0 0 0 0 0 0 0 0 1 0 1 1 0 0 1 0 0 0 1 0 1]
[0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 1 0 1 1 1 0]

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n=24

[24, 1, 24] Cyclic Linear Code over GF(2)
Generator matrix:
[1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1]

[24, 2, 16] Linear Code over GF(2)
Generator matrix:
[1 1 0 1 1 1 1 1 1 0 1 1 1 1 0 0 0 0 1 1 0 1 0 1]
[0 0 1 1 0 0 1 1 1 1 1 1 0 0 1 1 1 1 0 0 1 1 1 1]

[24, 3, 13] Linear Code over GF(2)
Generator matrix:
[1 0 0 0 0 1 1 1 0 0 1 0 1 0 0 1 1 1 1 1 1 1 0 0]
[0 1 0 1 1 0 1 0 1 0 1 1 0 1 1 1 0 1 1 1 1 0 1 0]
[0 0 1 1 1 1 0 1 1 1 0 0 1 1 0 1 0 0 1 0 1 0 0 1]

[24, 4, 12] Linear Code over GF(2)
Generator matrix:
[1 0 0 0 1 0 0 1 1 0 1 1 1 0 1 0 0 1 0 0 1 1 1 0]
[0 1 1 0 1 0 0 1 0 1 1 1 0 0 1 1 0 1 1 0 0 0 0 1]
[0 0 0 1 0 0 0 0 1 1 1 1 0 1 1 1 0 0 1 1 1 0 1 0]
[0 0 0 0 0 0 1 1 1 0 1 1 1 1 0 1 1 1 0 1 0 0 0 1]

[24, 5, 12] Linear Code over GF(2)
Generator matrix:
[1 0 0 0 0 0 0 1 1 0 1 0 1 0 1 1 1 1 1 0 0 0 1 1]
[0 1 0 0 1 1 0 1 1 1 1 0 0 1 0 1 1 1 0 1 0 0 0 0]
[0 0 1 0 1 1 0 0 0 1 0 1 0 0 1 1 1 1 0 0 1 0 1 1]
[0 0 0 1 0 1 0 0 1 1 1 1 0 1 1 1 0 0 1 0 0 1 0 1]
[0 0 0 0 0 0 1 0 0 1 1 0 1 1 0 1 0 1 0 1 1 1 1 1]

[24, 6, 10] Linear Code over GF(2)
Generator matrix:
[1 0 0 0 0 0 0 0 1 1 1 1 0 0 1 0 1 1 1 1 0 0 1 1]
[0 1 0 0 0 0 0 1 0 1 0 0 1 0 0 0 1 0 1 0 1 1 1 1]
[0 0 1 0 0 0 0 1 0 1 1 0 1 1 0 1 1 1 0 1 1 0 0 1]
[0 0 0 1 0 0 0 1 0 1 0 0 0 1 1 1 1 1 1 0 0 0 1 0]
[0 0 0 0 1 0 0 1 1 1 0 1 0 1 1 0 1 0 0 1 1 0 0 0]
[0 0 0 0 0 0 1 0 0 0 1 1 0 0 0 1 1 1 1 0 1 1 0 1]

[24, 7, 10] Linear Code over GF(2)
Generator matrix:
[1 0 0 0 0 0 0 1 0 1 1 1 1 1 1 0 0 0 0 0 1 0 1 0]
[0 1 0 0 1 0 0 1 0 1 0 1 1 0 1 1 0 1 0 1 1 1 0 0]
[0 0 1 0 1 0 0 0 0 1 0 1 1 1 1 0 1 0 0 1 0 0 0 1]
[0 0 0 1 1 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1]
[0 0 0 0 0 1 0 1 0 1 0 0 1 1 0 0 0 1 1 1 0 1 1 0]
[0 0 0 0 0 0 1 1 0 0 0 1 0 0 0 1 0 0 1 1 1 1 1 1]
[0 0 0 0 0 0 0 0 1 1 1 1 1 0 0 1 1 1 1 1 0 0 0 0]

[24, 8, 8] Linear Code over GF(2)
Generator matrix:
[1 0 0 0 0 0 0 0 1 0 1 0 1 0 0 1 1 1 1 0 1 1 0 0]
[0 1 0 0 0 0 0 0 0 0 1 0 1 0 0 0 1 1 1 1 0 0 1 0]
[0 0 1 0 0 0 0 0 1 0 1 0 0 0 1 0 0 1 0 1 0 1 1 0]
[0 0 0 1 0 0 0 0 1 1 1 0 1 0 0 0 0 1 0 0 1 0 1 0]
[0 0 0 0 1 0 0 0 1 1 0 0 1 0 1 0 1 1 1 1 1 1 1 0]
[0 0 0 0 0 1 0 0 1 0 1 0 1 0 1 0 0 0 1 1 1 0 0 0]
[0 0 0 0 0 0 1 0 0 1 0 0 0 0 1 1 0 1 0 0 1 1 1 0]
[0 0 0 0 0 0 0 1 0 1 1 0 1 0 1 0 0 1 1 0 0 1 0 0]

[24, 9, 8] Linear Code over GF(2)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 1 0 1 1 0 1 1 1 1 0 1 0 1 0]
[0 1 0 0 0 0 0 0 0 1 0 0 1 0 1 1 0 0 0 1 1 1 0 0]
[0 0 1 0 0 0 0 0 0 1 0 0 1 0 1 1 1 1 0 0 0 0 1 0]
[0 0 0 1 0 0 0 0 0 1 0 0 0 1 0 1 0 1 0 1 0 1 1 0]
[0 0 0 0 1 0 0 0 0 0 0 0 1 0 1 0 1 1 1 1 1 0 0 0]
[0 0 0 0 0 1 0 0 0 1 0 0 0 1 1 0 1 0 0 1 1 0 1 0]
[0 0 0 0 0 0 1 0 0 1 0 0 1 1 0 1 1 0 1 1 0 0 0 0]
[0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 1 1 1 0 1 0 1 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 1 1 0 1 1 0 1 1 0]

[24, 10, 8] Linear Code over GF(2)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 1 0 1 1 0 1 0 1 0 1 0 1 0 0 0]
[0 0 1 0 0 0 0 0 0 1 0 0 0 0 1 1 1 0 0 0 1 0 1 1]
[0 0 0 1 0 0 0 0 0 1 0 1 0 0 0 1 1 0 1 1 0 0 1 0]
[0 0 0 0 1 0 0 0 0 1 0 1 1 0 0 0 0 0 0 1 1 0 1 1]
[0 0 0 0 0 1 0 0 0 0 0 1 1 1 1 1 0 0 0 0 1 0 0 1]
[0 0 0 0 0 0 1 0 0 1 0 0 1 1 0 1 0 0 1 0 1 0 1 0]
[0 0 0 0 0 0 0 1 0 1 0 1 0 1 1 0 1 0 0 1 0 0 0 1]
[0 0 0 0 0 0 0 0 1 1 0 0 1 0 1 1 0 0 1 1 0 0 0 1]
[0 0 0 0 0 0 0 0 0 0 1 1 0 1 0 0 1 0 1 0 1 0 1 1]

[24, 11, 7] Linear Code over GF(2)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 1 1 0 1 1 1 0 0 1 1 1 0 1]
[0 1 0 0 0 0 0 0 0 0 0 1 1 0 0 0 1 1 0 1 1 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 1 1 1 0 1 0]
[0 0 0 1 0 0 0 0 0 0 0 1 1 1 0 1 1 0 1 0 1 0 1 1]
[0 0 0 0 1 0 0 0 0 0 0 1 1 0 1 1 1 1 0 0 0 0 1 1]
[0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 1 1 1 1 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 1 0 1 0 1 0 1 1 0 1 1 0 1]
[0 0 0 0 0 0 0 1 0 0 0 1 0 1 1 1 1 0 1 0 0 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 1 0 1 1 0 1 1 0 0 0 1 1 0]
[0 0 0 0 0 0 0 0 0 1 0 1 1 1 1 0 0 1 1 1 0 1 0 1]
[0 0 0 0 0 0 0 0 0 0 1 1 1 0 1 0 0 0 1 0 1 1 0 0]

[24, 12, 6] Linear Code over GF(2)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 1 1 0 0 1]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 1 1 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 1 1 1 1 0]
[0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 1 1 1 1]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 1 1 1]
[0 0 0 0 0 1 0 0 0 0 0 0 1 0 0 1 0 0 0 1 0 0 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 1 1 0 0 1 0 0 0 1 0 0 1]
[0 0 0 0 0 0 0 1 0 0 0 0 1 1 1 0 0 1 0 0 0 1 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 1 1 1 1 0 0 1 0 0 0 1 0]
[0 0 0 0 0 0 0 0 0 1 0 0 0 1 1 1 1 0 0 1 0 0 0 1]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 1 1 1 0 0 1 0 0 0]
[0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 1 1 1 1 0 0 1 0 0]

——————————————————————————

n=26

[26, 1, 26] Cyclic Linear Code over GF(2)
Generator matrix:
[1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1]

[26, 2, 17] Linear Code over GF(2)
Generator matrix:
[1 0 1 1 1 1 1 1 1 1 0 0 0 0 1 1 0 0 1 1 1 1 0 1 0 1]
[0 1 0 1 0 0 1 0 1 1 1 1 1 1 0 1 1 1 1 1 0 0 1 1 1 0]

[26, 3, 14] Linear Code over GF(2)
Generator matrix:
[1 0 0 1 1 1 1 1 1 1 1 0 1 1 1 1 0 0 0 0 0 1 0 1 0 1]
[0 1 0 1 1 1 0 1 1 0 0 1 1 0 0 0 0 0 1 0 1 0 1 1 1 1]
[0 0 1 1 0 0 1 0 0 1 0 0 1 0 1 0 1 1 1 1 0 1 1 1 0 1]

[26, 4, 13] Linear Code over GF(2)
Generator matrix:
[1 0 0 0 0 1 1 1 1 1 0 0 1 0 0 0 0 0 0 1 1 1 0 1 1 1]
[0 1 0 1 0 0 0 1 1 1 0 1 1 1 0 0 1 1 0 1 1 0 1 1 0 0]
[0 0 1 0 0 0 1 1 1 1 1 1 0 1 1 1 0 1 0 1 0 0 0 0 0 1]
[0 0 0 0 1 0 1 1 1 0 1 1 1 0 1 0 1 0 1 0 0 1 1 0 1 1]

[26, 5, 12] Linear Code over GF(2)
Generator matrix:
[1 0 0 0 0 1 0 0 1 1 0 0 0 0 0 1 1 0 0 0 1 1 1 1 1 1]
[0 1 0 0 0 1 1 0 0 0 1 1 1 1 0 1 0 0 1 1 0 1 0 0 0 1]
[0 0 1 0 0 0 0 0 1 1 1 0 1 0 1 1 1 0 1 1 0 0 0 0 1 1]
[0 0 0 1 0 0 1 1 1 0 1 1 0 1 1 1 1 0 0 1 1 0 0 0 0 0]
[0 0 0 0 1 0 1 1 0 0 0 1 1 0 1 1 1 0 1 1 1 1 1 1 1 1]

[26, 6, 12] Linear Code over GF(2)
Generator matrix:
[1 0 0 0 1 0 1 0 1 1 1 1 0 0 1 1 0 1 0 0 0 1 0 1 0 0]
[0 1 0 0 1 0 1 0 0 1 0 1 1 0 1 0 1 1 0 1 1 0 0 0 0 1]
[0 0 1 0 1 0 0 0 0 1 1 0 0 1 1 1 1 0 0 0 1 1 0 0 1 1]
[0 0 0 1 0 0 1 0 0 0 1 1 0 0 1 1 0 0 1 1 1 1 1 0 0 1]
[0 0 0 0 0 1 0 0 1 1 1 1 0 1 1 0 1 0 0 1 0 0 1 1 0 1]
[0 0 0 0 0 0 0 1 0 1 1 1 0 1 0 1 0 1 1 0 1 0 1 1 1 0]

[26, 7, 11] Linear Code over GF(2)
Generator matrix:
[1 0 0 0 0 0 0 0 1 0 0 1 0 0 0 1 0 1 1 1 1 1 1 1 1 0]
[0 1 0 0 0 0 1 0 0 1 0 0 1 0 0 1 1 1 0 1 0 1 0 1 1 0]
[0 0 1 0 0 0 1 0 1 0 0 1 1 1 1 0 1 1 0 1 1 1 0 0 0 0]
[0 0 0 1 0 0 1 0 0 0 1 0 0 1 1 1 0 1 1 0 1 1 0 1 0 0]
[0 0 0 0 1 0 0 0 1 0 0 1 1 1 1 1 0 1 1 0 0 0 1 0 0 1]
[0 0 0 0 0 1 1 0 0 1 1 1 1 1 0 1 1 0 0 1 0 0 1 0 0 1]
[0 0 0 0 0 0 0 1 0 0 1 1 1 0 1 1 1 1 0 0 1 0 0 1 1 1]

[26, 8, 9] Linear Code over GF(2)
Generator matrix:
[1 0 0 0 0 0 1 0 1 0 1 0 0 1 1 1 0 0 0 1 1 1 0 1 1 0]
[0 1 0 0 0 0 0 0 1 0 1 1 1 0 1 1 1 0 0 0 0 0 1 0 1 0]
[0 0 1 0 0 0 1 0 0 0 0 1 0 1 1 1 1 1 0 1 1 0 0 1 0 0]
[0 0 0 1 0 0 1 0 1 0 0 1 0 1 1 0 1 0 1 0 1 0 1 0 0 1]
[0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 1 1 1 1 0 1 1 0 0 0 1]
[0 0 0 0 0 1 0 0 0 0 0 1 1 1 1 0 0 0 0 1 0 0 1 1 1 0]
[0 0 0 0 0 0 0 1 1 0 0 0 1 0 0 0 0 1 0 0 1 1 1 1 1 1]
[0 0 0 0 0 0 0 0 0 1 1 1 1 0 1 0 0 1 1 1 1 1 0 0 0 0]

[26, 9, 8] Linear Code over GF(2)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 1 1 1 1 1 1 0 1 1 0]
[0 1 0 0 0 0 0 0 0 1 0 1 0 0 1 0 0 1 1 1 1 0 1 1 0 0]
[0 0 1 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 1 1 1 1 0 0 1 0]
[0 0 0 1 0 0 0 0 0 1 0 1 0 0 0 0 1 0 0 1 0 1 0 1 1 0]
[0 0 0 0 1 0 0 0 0 1 1 1 0 0 1 0 0 0 0 1 0 0 1 0 1 0]
[0 0 0 0 0 1 0 0 0 1 1 0 0 0 1 0 1 0 1 1 1 1 1 1 1 0]
[0 0 0 0 0 0 1 0 0 1 0 1 0 0 1 0 1 0 0 0 1 1 1 0 0 0]
[0 0 0 0 0 0 0 1 0 0 1 0 0 0 0 0 1 1 0 1 0 0 1 1 1 0]
[0 0 0 0 0 0 0 0 1 0 1 1 0 0 1 0 1 0 0 1 1 0 0 1 0 0]

[26, 10, 8] Linear Code over GF(2)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 0 1 0 0 0 1 0 1 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 1 0 0 1 1 1 0 1]
[0 0 1 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 1 1 0 1 1 0 0 0]
[0 0 0 1 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 1 1 1 1 0 1 0]
[0 0 0 0 1 0 0 0 0 0 0 0 1 0 1 1 0 1 1 0 1 0 1 0 1 1]
[0 0 0 0 0 1 0 0 0 0 0 0 1 1 1 0 1 1 1 1 0 0 0 0 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 1 1 0 0 0 0 1 1 1 1 0 1 1 1]
[0 0 0 0 0 0 0 1 0 0 0 0 1 1 0 1 0 1 0 1 1 0 1 1 0 1]
[0 0 0 0 0 0 0 0 1 0 0 0 1 1 0 1 1 1 1 0 1 0 0 0 0 0]
[0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 1 1 0 1 1 0 0 0 1 1 0]

[26, 11, 8] Linear Code over GF(2)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 0 1 0 0 0 1 0 1 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 1 0 0 1 1 1 0 1]
[0 0 1 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 1 1 0 1 1 0 0 0]
[0 0 0 1 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 1 1 1 1 0 1 0]
[0 0 0 0 1 0 0 0 0 0 0 0 1 0 1 1 0 1 1 0 1 0 1 0 1 1]
[0 0 0 0 0 1 0 0 0 0 0 0 1 1 1 0 1 1 1 1 0 0 0 0 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 1 1 0 0 0 0 1 1 1 1 0 1 1 1]
[0 0 0 0 0 0 0 1 0 0 0 0 1 1 0 1 0 1 0 1 1 0 1 1 0 1]
[0 0 0 0 0 0 0 0 1 0 0 0 1 1 0 1 1 1 1 0 1 0 0 0 0 0]
[0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 1 1 0 1 1 0 0 0 1 1 0]
[0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 1 0 0 1 1 1 0 1 0 1]

[26, 12, 8] Quasicyclic of degree 2 Linear Code over GF(2)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 0 1 0 0 0 1 0 1 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 1 0 0 1 1 1 0 1]
[0 0 1 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 1 1 0 1 1 0 0 0]
[0 0 0 1 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 1 1 1 1 0 1 0]
[0 0 0 0 1 0 0 0 0 0 0 0 1 0 1 1 0 1 1 0 1 0 1 0 1 1]
[0 0 0 0 0 1 0 0 0 0 0 0 1 1 1 0 1 1 1 1 0 0 0 0 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 1 1 0 0 0 0 1 1 1 1 0 1 1 1]
[0 0 0 0 0 0 0 1 0 0 0 0 1 1 0 1 0 1 0 1 1 0 1 1 0 1]
[0 0 0 0 0 0 0 0 1 0 0 0 1 1 0 1 1 1 1 0 1 0 0 0 0 0]
[0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 1 1 0 1 1 0 0 0 1 1 0]
[0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 1 0 0 1 1 1 0 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 1 0 0 0 1 0 1 1 0 0]

[26, 13, 7] Quasicyclic of degree 2 Linear Code over GF(2)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 1 1 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 1 1 0 0 1]
[0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 1 1 1 1 0 0]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 1 1 1 1 0]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 1 1 1 1]
[0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 0 1 0 0 0 1 0 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 1 1 0 0 1 0 0 0 1 0 0 1 1]
[0 0 0 0 0 0 0 1 0 0 0 0 0 1 1 1 0 0 1 0 0 0 1 0 0 1]
[0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 1 1 0 0 1 0 0 0 1 0 0]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 1 1 0 0 1 0 0 0 1 0]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 1 1 0 0 1 0 0 0 1]
[0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 1 1 1 0 0 1 0 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 1 1 1 0 0 1 0 0]