Code1

Database for the paper “Tingting Tong, Shitao Li, Minjia Shi, Characterization and classification of optimal ternary linear one-dimensional hull codes, Journal of Applied Mathematics and Computing, 2024, https://doi.org/10.1007/s12190-024-02192-3.”

Ternary linear codes with one-dimensional hull for $n\leq 20$

n=3

[3, 1, 3] Cyclic Linear Code over GF(3)
Generator matrix:
[1 1 1]

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

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n=4

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

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

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

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n=5

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

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

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

[5, 4, 1] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 1]
[0 1 0 0 1]
[0 0 1 0 0]
[0 0 0 1 0]

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n=6

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

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

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

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

[6, 5, 2] Cyclic Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 2]
[0 1 0 0 0 2]
[0 0 1 0 0 2]
[0 0 0 1 0 2]
[0 0 0 0 1 2]

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n=7

[7, 1, 6] Linear Code over GF(3)
Generator matrix:
[1 1 1 1 1 1 0]

[7, 2, 5] Linear Code over GF(3)
Generator matrix:
[1 0 2 1 1 2 0]
[0 1 1 2 0 2 1]

[7, 3, 4] Linear Code over GF(3)
Generator matrix:
[1 0 0 1 2 2 0]
[0 1 0 1 1 1 1]
[0 0 1 2 2 1 1]

[7, 4, 3] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 1 2]
[0 1 0 0 1 2 2]
[0 0 1 0 2 1 0]
[0 0 0 1 2 2 1]

[7, 5, 2] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 1 1]
[0 1 0 0 0 0 2]
[0 0 1 0 0 2 1]
[0 0 0 1 0 1 2]
[0 0 0 0 1 1 1]

[7, 6, 1] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 1]
[0 1 0 0 0 0 1]
[0 0 1 0 0 0 0]
[0 0 0 1 0 0 0]
[0 0 0 0 1 0 0]
[0 0 0 0 0 1 0]

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n=8

[8, 1, 6] Linear Code over GF(3)
Generator matrix:
[1 1 1 1 1 1 0 0]

[8, 2, 5] Linear Code over GF(3)
Generator matrix:
[1 0 2 1 1 2 0 0]
[0 1 1 2 0 2 1 0]

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

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

[8, 5, 3] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 1 1]
[0 1 0 0 0 2 1 2]
[0 0 1 0 0 0 1 2]
[0 0 0 1 0 1 1 1]
[0 0 0 0 1 2 2 1]

[8, 6, 2] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 2 2]
[0 1 0 0 0 0 2 0]
[0 0 1 0 0 0 1 2]
[0 0 0 1 0 0 2 0]
[0 0 0 0 1 0 2 0]
[0 0 0 0 0 1 2 0]

[8, 7, 1] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 2 0]
[0 1 0 0 0 0 2 0]
[0 0 1 0 0 0 2 0]
[0 0 0 1 0 0 1 0]
[0 0 0 0 1 0 0 0]
[0 0 0 0 0 1 1 0]
[0 0 0 0 0 0 0 1]

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n=9

[9, 1, 9] Cyclic Linear Code over GF(3)
Generator matrix:
[1 1 1 1 1 1 1 1 1]

[9, 2, 6] Linear Code over GF(3)
Generator matrix:
[1 0 2 1 1 1 0 2 1]
[0 1 1 1 1 1 1 1 0]

[9, 3, 5] Linear Code over GF(3)
Generator matrix:
[1 0 0 2 1 1 1 1 2]
[0 1 0 1 1 0 0 1 2]
[0 0 1 0 0 1 1 1 1]

[9, 4, 4] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 2 2 2 1 1]
[0 1 0 0 1 1 0 2 0]
[0 0 1 0 1 0 1 2 0]
[0 0 0 1 0 1 1 2 0]

[9, 5, 3] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 1 1 0]
[0 1 0 0 0 2 1 2 0]
[0 0 1 0 0 0 1 2 0]
[0 0 0 1 0 1 1 1 0]
[0 0 0 0 1 2 2 1 0]

[9, 6, 3] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 2 1 0]
[0 1 0 0 0 0 0 1 2]
[0 0 1 0 0 0 1 0 2]
[0 0 0 1 0 0 1 2 2]
[0 0 0 0 1 0 1 1 1]
[0 0 0 0 0 1 1 0 1]

[9, 7, 2] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 2]
[0 1 0 0 0 0 0 2 2]
[0 0 1 0 0 0 0 2 0]
[0 0 0 1 0 0 0 2 1]
[0 0 0 0 1 0 0 2 1]
[0 0 0 0 0 1 0 2 1]
[0 0 0 0 0 0 1 2 2]

[9, 8, 2] Cyclic Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 2]
[0 1 0 0 0 0 0 0 2]
[0 0 1 0 0 0 0 0 2]
[0 0 0 1 0 0 0 0 2]
[0 0 0 0 1 0 0 0 2]
[0 0 0 0 0 1 0 0 2]
[0 0 0 0 0 0 1 0 2]
[0 0 0 0 0 0 0 1 2]

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n=10

[10, 1, 9] Linear Code over GF(3)
Generator matrix:
[1 1 1 1 1 1 1 1 1 0]

[10, 2, 7] Linear Code over GF(3)
Generator matrix:
[1 0 1 0 1 0 2 1 2 1]
[0 1 1 1 1 1 1 1 0 0]

[10, 3, 6] Linear Code over GF(3)
Generator matrix:
[1 0 0 2 1 1 1 2 1 2]
[0 1 0 1 1 0 0 1 1 2]
[0 0 1 0 0 1 1 1 1 1]

[10, 4, 5] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 2 2 0 1 1 2]
[0 1 0 0 0 2 2 1 2 0]
[0 0 1 0 1 1 2 1 1 2]
[0 0 0 1 0 0 1 2 2 2]

[10, 5, 4] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 2 0 2 0 1]
[0 1 0 0 0 2 2 1 0 0]
[0 0 1 0 0 0 2 1 1 0]
[0 0 0 1 0 1 1 0 1 0]
[0 0 0 0 1 1 0 1 1 0]

[10, 6, 3] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 2 1 1 1]
[0 1 0 0 0 0 0 1 2 0]
[0 0 1 0 0 0 2 0 2 1]
[0 0 0 1 0 0 1 2 0 0]
[0 0 0 0 1 0 1 2 0 1]
[0 0 0 0 0 1 1 1 1 1]

[10, 7, 2] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 1 0 1]
[0 1 0 0 0 0 0 1 1 2]
[0 0 1 0 0 0 0 1 2 1]
[0 0 0 1 0 0 0 2 1 1]
[0 0 0 0 1 0 0 2 2 1]
[0 0 0 0 0 1 0 1 2 1]
[0 0 0 0 0 0 1 1 2 1]

[10, 8, 2] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 2]
[0 1 0 0 0 0 0 2 0 1]
[0 0 1 0 0 0 0 2 0 0]
[0 0 0 1 0 0 0 2 0 1]
[0 0 0 0 1 0 0 2 0 0]
[0 0 0 0 0 1 0 2 0 1]
[0 0 0 0 0 0 1 2 0 2]
[0 0 0 0 0 0 0 0 1 1]

[10, 9, 1] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 2 0]
[0 1 0 0 0 0 0 0 2 0]
[0 0 1 0 0 0 0 0 2 0]
[0 0 0 1 0 0 0 0 2 0]
[0 0 0 0 1 0 0 0 2 0]
[0 0 0 0 0 1 0 0 2 0]
[0 0 0 0 0 0 1 0 2 0]
[0 0 0 0 0 0 0 1 2 0]
[0 0 0 0 0 0 0 0 0 1]

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n=11

[11, 1, 9] Linear Code over GF(3)
Generator matrix:
[1 1 1 1 1 1 1 1 1 0 0]

[11, 2, 8] Linear Code over GF(3)
Generator matrix:
[1 0 1 0 1 0 2 2 1 2 1]
[0 1 1 1 1 1 1 1 1 0 0]

[11, 3, 7] Linear Code over GF(3)
Generator matrix:
[1 0 0 2 2 2 1 0 2 2 0]
[0 1 0 1 0 1 2 2 2 0 2]
[0 0 1 0 1 1 1 1 1 2 2]

[11, 4, 5] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 2 2 0 1 1 2 0]
[0 1 0 0 0 2 2 1 2 0 0]
[0 0 1 0 1 1 2 1 1 2 0]
[0 0 0 1 0 0 1 2 2 2 0]

[11, 5, 5] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 2 1 0 1 1 1]
[0 1 0 0 0 1 1 0 1 2 0]
[0 0 1 0 0 2 1 1 2 0 1]
[0 0 0 1 0 0 2 0 1 2 1]
[0 0 0 0 1 0 0 1 1 1 2]

[11, 6, 4] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 1 1 2 1 2]
[0 1 0 0 0 0 1 1 0 0 1]
[0 0 1 0 0 0 0 1 1 1 2]
[0 0 0 1 0 0 2 0 1 0 2]
[0 0 0 0 1 0 1 0 0 1 1]
[0 0 0 0 0 1 1 2 2 2 2]

[11, 7, 3] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 1 0 2 1 1]
[0 1 0 0 0 0 2 0 1 1 2]
[0 0 1 0 0 0 2 0 1 0 1]
[0 0 0 1 0 0 2 0 2 1 0]
[0 0 0 0 1 0 1 0 0 1 2]
[0 0 0 0 0 1 0 0 0 1 1]
[0 0 0 0 0 0 0 1 1 1 0]

[11, 8, 3] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 2 0 1 1]
[0 1 0 0 0 0 0 2 0 0 2]
[0 0 1 0 0 0 0 1 0 0 2]
[0 0 0 1 0 0 0 0 0 2 1]
[0 0 0 0 1 0 0 2 0 2 0]
[0 0 0 0 0 1 0 0 2 0 1]
[0 0 0 0 0 0 1 0 2 0 2]
[0 0 0 0 0 0 0 1 2 0 2]
[0 0 0 0 0 0 0 0 0 1 1]

[11, 9, 2] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 1 0]
[0 1 0 0 0 0 0 0 0 1 0]
[0 0 1 0 0 0 0 0 0 0 2]
[0 0 0 1 0 0 0 0 0 1 0]
[0 0 0 0 1 0 0 0 0 1 0]
[0 0 0 0 0 1 0 0 0 1 0]
[0 0 0 0 0 0 1 0 0 2 0]
[0 0 0 0 0 0 0 1 0 2 0]
[0 0 0 0 0 0 0 0 1 2 0]

[11, 10, 1] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 2 0 0]
[0 1 0 0 0 0 0 0 2 0 0]
[0 0 1 0 0 0 0 0 2 0 0]
[0 0 0 1 0 0 0 0 2 0 0]
[0 0 0 0 1 0 0 0 2 0 0]
[0 0 0 0 0 1 0 0 2 0 0]
[0 0 0 0 0 0 1 0 2 0 0]
[0 0 0 0 0 0 0 1 2 0 0]
[0 0 0 0 0 0 0 0 0 1 0]
[0 0 0 0 0 0 0 0 0 0 1]

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n=12

[12, 1, 12] Cyclic Linear Code over GF(3)
Generator matrix:
[1 1 1 1 1 1 1 1 1 1 1 1]

[12, 2, 8] Linear Code over GF(3)
Generator matrix:
[1 0 1 0 1 0 2 2 1 2 1 0]
[0 1 1 1 1 1 1 1 1 0 0 0]

[12, 3, 7] Linear Code over GF(3)
Generator matrix:
[1 0 0 2 2 0 2 1 0 2 2 1]
[0 1 0 0 0 0 1 1 1 1 1 1]
[0 0 1 0 1 1 2 2 1 1 0 0]

[12, 4, 6] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 2 1 1 1 0 2 2 1]
[0 1 0 0 0 0 0 1 1 1 1 1]
[0 0 1 0 0 1 1 2 1 1 0 0]
[0 0 0 1 1 1 1 1 0 0 1 0]

[12, 5, 6] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 2 0 1 0 2 2 1]
[0 1 0 0 0 0 0 1 1 1 1 1]
[0 0 1 0 0 0 1 2 2 1 1 0]
[0 0 0 1 0 1 2 2 1 1 0 0]
[0 0 0 0 1 1 1 2 0 2 0 1]

[12, 6, 5] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 1 0 1 0 2 2]
[0 1 0 0 0 0 0 0 1 1 1 1]
[0 0 1 0 0 0 0 1 2 1 1 0]
[0 0 0 1 0 0 1 1 1 1 0 0]
[0 0 0 0 1 0 1 2 1 0 1 0]
[0 0 0 0 0 1 1 2 0 1 0 1]

[12, 7, 4] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 2 1 1 2 0]
[0 1 0 0 0 0 0 1 1 0 2 1]
[0 0 1 0 0 0 0 1 0 1 2 2]
[0 0 0 1 0 0 0 0 1 1 0 1]
[0 0 0 0 1 0 0 0 1 2 2 1]
[0 0 0 0 0 1 0 1 1 2 0 2]
[0 0 0 0 0 0 1 1 0 2 1 2]

[12, 8, 3] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 2 2 2]
[0 1 0 0 0 0 0 0 0 2 0 1]
[0 0 1 0 0 0 0 0 0 2 1 2]
[0 0 0 1 0 0 0 0 0 2 2 1]
[0 0 0 0 1 0 0 0 0 1 2 0]
[0 0 0 0 0 1 0 0 0 1 1 0]
[0 0 0 0 0 0 1 0 0 2 0 2]
[0 0 0 0 0 0 0 1 0 0 1 2]

[12, 9, 2] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 1 0 0]
[0 1 0 0 0 0 0 0 0 0 0 2]
[0 0 1 0 0 0 0 0 0 2 0 1]
[0 0 0 1 0 0 0 0 0 0 2 1]
[0 0 0 0 1 0 0 0 0 0 2 1]
[0 0 0 0 0 1 0 0 0 2 2 2]
[0 0 0 0 0 0 1 0 0 2 2 2]
[0 0 0 0 0 0 0 1 0 1 2 2]
[0 0 0 0 0 0 0 0 1 2 0 0]

[12, 11, 2] Cyclic Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 2]
[0 1 0 0 0 0 0 0 0 0 0 2]
[0 0 1 0 0 0 0 0 0 0 0 2]
[0 0 0 1 0 0 0 0 0 0 0 2]
[0 0 0 0 1 0 0 0 0 0 0 2]
[0 0 0 0 0 1 0 0 0 0 0 2]
[0 0 0 0 0 0 1 0 0 0 0 2]
[0 0 0 0 0 0 0 1 0 0 0 2]
[0 0 0 0 0 0 0 0 1 0 0 2]
[0 0 0 0 0 0 0 0 0 1 0 2]
[0 0 0 0 0 0 0 0 0 0 1 2]

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n=13

[13, 1, 12] Linear Code over GF(3)
Generator matrix:
[1 1 1 1 1 1 1 1 1 1 1 1 0]

[13, 2, 9] Linear Code over GF(3)
Generator matrix:
[1 0 2 1 1 1 0 2 1 1 0 1 2]
[0 1 1 1 1 1 1 1 0 0 1 1 1]

[13, 3, 8] Linear Code over GF(3)
Generator matrix:
[1 0 0 2 2 1 0 1 1 2 1 1 2]
[0 1 0 0 0 0 1 1 1 1 1 1 1]
[0 0 1 1 1 1 2 2 1 1 0 0 0]

[13, 4, 7] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 1 2 1 2 0 1 2 0 1]
[0 1 0 0 0 0 0 1 1 1 1 1 1]
[0 0 1 0 0 1 1 2 1 1 1 0 0]
[0 0 0 1 1 1 1 1 1 0 0 1 0]

[13, 5, 6] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 2 2 2 0 2 2 2 1]
[0 1 0 0 0 0 0 0 1 1 1 1 1]
[0 0 1 0 0 0 0 1 2 2 1 1 0]
[0 0 0 1 0 1 1 1 1 1 0 0 0]
[0 0 0 0 1 1 0 2 2 1 1 0 0]

[13, 6, 5] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 2 0 2 0 1 0 1]
[0 1 0 0 0 0 0 0 0 1 1 1 1]
[0 0 1 0 0 0 0 0 1 2 1 1 0]
[0 0 0 1 0 0 1 1 1 1 0 0 0]
[0 0 0 0 1 0 1 2 1 0 1 0 0]
[0 0 0 0 0 1 0 1 2 1 1 0 0]

[13, 7, 4] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 2 2 1 1 1 0]
[0 1 0 0 0 0 0 0 0 1 1 1 1]
[0 0 1 0 0 0 0 0 1 2 1 1 0]
[0 0 0 1 0 0 0 1 1 1 1 0 0]
[0 0 0 0 1 0 0 1 2 1 0 1 0]
[0 0 0 0 0 1 0 1 2 0 1 0 1]
[0 0 0 0 0 0 1 1 2 2 1 1 2]

[13, 8, 4] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 1 0 0 1 1]
[0 1 0 0 0 0 0 0 0 0 1 1 1]
[0 0 1 0 0 0 0 0 0 1 1 1 0]
[0 0 0 1 0 0 0 0 1 1 1 0 0]
[0 0 0 0 1 0 0 0 1 1 0 1 0]
[0 0 0 0 0 1 0 0 1 0 1 1 0]
[0 0 0 0 0 0 1 0 1 1 0 0 1]
[0 0 0 0 0 0 0 1 1 0 1 0 1]

[13, 9, 3] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 1 2 0 0]
[0 1 0 0 0 0 0 0 0 2 1 0 2]
[0 0 1 0 0 0 0 0 0 2 0 0 1]
[0 0 0 1 0 0 0 0 0 1 2 2 1]
[0 0 0 0 1 0 0 0 0 2 1 2 1]
[0 0 0 0 0 1 0 0 0 2 0 2 2]
[0 0 0 0 0 0 1 0 0 1 1 2 2]
[0 0 0 0 0 0 0 1 0 0 1 2 2]
[0 0 0 0 0 0 0 0 1 2 0 2 1]

[13, 10, 2] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 1 1 2]
[0 1 0 0 0 0 0 0 0 0 0 0 2]
[0 0 1 0 0 0 0 0 0 0 2 0 1]
[0 0 0 1 0 0 0 0 0 0 0 2 1]
[0 0 0 0 1 0 0 0 0 0 0 2 1]
[0 0 0 0 0 1 0 0 0 0 2 2 2]
[0 0 0 0 0 0 1 0 0 0 2 2 2]
[0 0 0 0 0 0 0 1 0 0 1 2 2]
[0 0 0 0 0 0 0 0 1 0 2 2 1]
[0 0 0 0 0 0 0 0 0 1 2 0 0]

[13, 11, 2] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 2]
[0 1 0 0 0 0 0 0 0 0 0 0 2]
[0 0 1 0 0 0 0 0 0 0 0 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 2]
[0 0 0 0 0 1 0 0 0 0 0 0 2]
[0 0 0 0 0 0 1 0 0 0 0 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 2]
[0 0 0 0 0 0 0 0 1 0 0 0 2]
[0 0 0 0 0 0 0 0 0 1 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 2]

[13, 12, 1] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 2 0]
[0 1 0 0 0 0 0 0 0 0 0 2 0]
[0 0 1 0 0 0 0 0 0 0 0 2 0]
[0 0 0 1 0 0 0 0 0 0 0 2 0]
[0 0 0 0 1 0 0 0 0 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 2 0]
[0 0 0 0 0 0 1 0 0 0 0 2 0]
[0 0 0 0 0 0 0 1 0 0 0 2 0]
[0 0 0 0 0 0 0 0 1 0 0 2 0]
[0 0 0 0 0 0 0 0 0 1 0 2 0]
[0 0 0 0 0 0 0 0 0 0 1 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 1]

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n=14

[14, 1, 12] Quasicyclic of degree 7 Linear Code over GF(3)
Generator matrix:
[1 1 1 1 1 1 1 1 1 1 1 1 0 0]

[14, 2, 10] Linear Code over GF(3)
Generator matrix:
[1 0 2 2 2 2 1 1 2 2 2 0 0 0]
[0 1 2 2 2 2 2 2 0 0 0 1 1 1]

[14, 3, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 2 2 1 0 1 1 0 2 1 1 2]
[0 1 0 0 0 0 1 1 1 1 1 1 1 1]
[0 0 1 1 1 1 2 2 1 1 1 0 0 0]

[14, 4, 8] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 2 0 2 0 2 2 2 0 1 1]
[0 1 0 0 0 0 0 1 1 1 1 1 1 1]
[0 0 1 0 0 1 1 2 2 1 1 1 0 0]
[0 0 0 1 1 1 1 2 1 2 0 0 1 0]

[14, 5, 7] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 1 2 0 1 2 0 1 2]
[0 1 0 0 0 0 0 0 1 1 1 1 1 1]
[0 0 1 0 0 0 1 1 2 1 1 1 0 0]
[0 0 0 1 0 1 1 1 1 1 0 0 1 0]
[0 0 0 0 1 1 2 1 0 0 2 1 2 0]

[14, 6, 6] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 2 2 2 1 1 1 0 1]
[0 1 0 0 0 0 0 0 0 1 1 1 1 1]
[0 0 1 0 0 0 0 0 1 2 2 1 1 0]
[0 0 0 1 0 0 1 1 1 1 1 0 0 0]
[0 0 0 0 1 0 1 0 2 2 1 1 0 0]
[0 0 0 0 0 1 1 2 1 0 1 1 1 0]

[14, 7, 5] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 1 1 2 2 2 1]
[0 1 0 0 0 0 0 0 0 1 1 1 1 1]
[0 0 1 0 0 0 0 0 1 2 2 1 1 0]
[0 0 0 1 0 0 0 1 1 1 1 1 0 0]
[0 0 0 0 1 0 0 1 2 2 0 1 0 1]
[0 0 0 0 0 1 0 1 1 1 0 0 1 1]
[0 0 0 0 0 0 1 1 0 2 1 0 1 2]

[14, 8, 4] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 1 2 0 2 2]
[0 1 0 0 0 0 0 0 0 0 1 1 1 1]
[0 0 1 0 0 0 0 0 0 1 2 1 1 0]
[0 0 0 1 0 0 0 0 1 1 1 1 0 0]
[0 0 0 0 1 0 0 0 1 2 1 0 1 0]
[0 0 0 0 0 1 0 0 1 1 2 0 0 1]
[0 0 0 0 0 0 1 0 1 2 0 0 2 1]
[0 0 0 0 0 0 0 1 1 2 2 1 1 2]

[14, 9, 4] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 2 2 2 1 1]
[0 1 0 0 0 0 0 0 0 0 0 1 1 1]
[0 0 1 0 0 0 0 0 0 0 1 1 1 0]
[0 0 0 1 0 0 0 0 0 1 1 1 0 0]
[0 0 0 0 1 0 0 0 0 1 1 0 1 0]
[0 0 0 0 0 1 0 0 0 1 0 1 1 0]
[0 0 0 0 0 0 1 0 0 1 1 0 0 1]
[0 0 0 0 0 0 0 1 0 1 0 1 0 1]
[0 0 0 0 0 0 0 0 1 0 1 2 0 1]

[14, 10, 3] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 1 2 0 0]
[0 1 0 0 0 0 0 0 0 0 2 1 0 2]
[0 0 1 0 0 0 0 0 0 0 1 1 0 1]
[0 0 0 1 0 0 0 0 0 0 0 0 2 1]
[0 0 0 0 1 0 0 0 0 0 2 1 2 1]
[0 0 0 0 0 1 0 0 0 0 1 1 2 2]
[0 0 0 0 0 0 1 0 0 0 0 2 2 2]
[0 0 0 0 0 0 0 1 0 0 1 0 1 0]
[0 0 0 0 0 0 0 0 1 0 0 1 2 2]
[0 0 0 0 0 0 0 0 0 1 2 0 1 2]

[14, 11, 2] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 1 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 2]
[0 0 1 0 0 0 0 0 0 0 0 2 0 1]
[0 0 0 1 0 0 0 0 0 0 0 0 2 1]
[0 0 0 0 1 0 0 0 0 0 0 0 2 1]
[0 0 0 0 0 1 0 0 0 0 0 2 2 2]
[0 0 0 0 0 0 1 0 0 0 0 2 2 2]
[0 0 0 0 0 0 0 1 0 0 0 1 1 0]
[0 0 0 0 0 0 0 0 1 0 0 1 2 2]
[0 0 0 0 0 0 0 0 0 1 0 2 1 2]
[0 0 0 0 0 0 0 0 0 0 1 2 0 0]

[14, 12, 2] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 1 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 2]
[0 0 1 0 0 0 0 0 0 0 2 0 0 1]
[0 0 0 1 0 0 0 0 0 0 2 0 0 1]
[0 0 0 0 1 0 0 0 0 0 2 0 0 1]
[0 0 0 0 0 1 0 0 0 0 2 0 0 1]
[0 0 0 0 0 0 1 0 0 0 1 0 0 1]
[0 0 0 0 0 0 0 1 0 0 1 0 0 1]
[0 0 0 0 0 0 0 0 1 0 2 0 0 0]
[0 0 0 0 0 0 0 0 0 1 2 0 0 0]
[0 0 0 0 0 0 0 0 0 0 0 1 0 2]
[0 0 0 0 0 0 0 0 0 0 0 0 1 2]

[14, 13, 1] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 2 0 0]
[0 1 0 0 0 0 0 0 0 0 0 2 0 0]
[0 0 1 0 0 0 0 0 0 0 0 2 0 0]
[0 0 0 1 0 0 0 0 0 0 0 2 0 0]
[0 0 0 0 1 0 0 0 0 0 0 2 0 0]
[0 0 0 0 0 1 0 0 0 0 0 2 0 0]
[0 0 0 0 0 0 1 0 0 0 0 2 0 0]
[0 0 0 0 0 0 0 1 0 0 0 2 0 0]
[0 0 0 0 0 0 0 0 1 0 0 2 0 0]
[0 0 0 0 0 0 0 0 0 1 0 2 0 0]
[0 0 0 0 0 0 0 0 0 0 1 2 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1]

——————————————————————

n=15

[15, 1, 15] Cyclic Linear Code over GF(3)
Generator matrix:
[1 1 1 1 1 1 1 1 1 1 1 1 1 1 1]

[15, 2, 11] Linear Code over GF(3)
Generator matrix:
[1 0 2 2 2 2 1 1 1 2 2 2 0 0 0]
[0 1 1 1 1 1 0 0 0 2 2 2 1 1 1]

[15, 3, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 2 2 1 0 2 1 1 0 2 1 1 2]
[0 1 0 0 0 0 1 1 1 1 1 1 1 1 1]
[0 0 1 1 1 1 2 2 2 1 1 1 0 0 0]

[15, 4, 8] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 2 1 1 0 0 0 1 0 1 2 1]
[0 1 0 0 0 0 0 0 1 1 1 1 1 1 1]
[0 0 1 0 0 0 1 1 2 2 1 1 1 0 0]
[0 0 0 1 1 1 1 1 1 1 1 0 0 0 0]

[15, 5, 7] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 2 2 0 2 1 0 0 1 2 0]
[0 1 0 0 0 0 0 0 1 1 1 1 1 1 1]
[0 0 1 0 0 0 1 1 2 2 1 1 1 0 0]
[0 0 0 1 0 1 1 1 2 1 2 0 0 1 0]
[0 0 0 0 1 1 1 0 1 2 2 1 0 0 1]

[15, 6, 6] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 2 2 2 0 1 1 1 0]
[0 1 0 0 0 0 0 0 0 1 1 1 1 1 1]
[0 0 1 0 0 0 0 1 1 2 1 1 1 0 0]
[0 0 0 1 0 0 1 1 1 1 1 0 0 1 0]
[0 0 0 0 1 0 1 2 1 0 0 2 1 2 0]
[0 0 0 0 0 1 1 1 2 2 0 1 0 0 1]

[15, 7, 6] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 1 0 1 1 0 2 0 2]
[0 1 0 0 0 0 0 0 0 0 1 1 1 1 1]
[0 0 1 0 0 0 0 0 0 1 2 2 1 1 0]
[0 0 0 1 0 0 0 1 1 1 1 1 0 0 0]
[0 0 0 0 1 0 0 1 2 2 1 0 1 0 0]
[0 0 0 0 0 1 0 0 1 2 2 1 1 0 0]
[0 0 0 0 0 0 1 1 2 0 2 1 0 0 1]

[15, 8, 5] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 2 2 2 1 2 1 2]
[0 1 0 0 0 0 0 0 0 0 1 1 1 1 1]
[0 0 1 0 0 0 0 0 0 1 2 2 1 1 0]
[0 0 0 1 0 0 0 0 1 1 1 1 1 0 0]
[0 0 0 0 1 0 0 0 1 2 2 0 1 0 1]
[0 0 0 0 0 1 0 0 1 1 1 0 0 1 1]
[0 0 0 0 0 0 1 0 1 0 2 1 0 1 2]
[0 0 0 0 0 0 0 1 1 2 1 2 1 1 2]

[15, 9, 4] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 1 1 0 1 1 1]
[0 1 0 0 0 0 0 0 0 0 0 1 1 1 1]
[0 0 1 0 0 0 0 0 0 0 1 2 1 1 0]
[0 0 0 1 0 0 0 0 0 1 1 1 1 0 0]
[0 0 0 0 1 0 0 0 0 1 2 1 0 1 0]
[0 0 0 0 0 1 0 0 0 1 1 2 0 0 1]
[0 0 0 0 0 0 1 0 0 1 2 0 0 2 1]
[0 0 0 0 0 0 0 1 0 1 2 2 1 1 2]
[0 0 0 0 0 0 0 0 1 0 1 1 1 2 2]

[15, 10, 4] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 1 1 1 1 1]
[0 1 0 0 0 0 0 0 0 0 0 0 1 1 1]
[0 0 1 0 0 0 0 0 0 0 0 1 1 1 0]
[0 0 0 1 0 0 0 0 0 0 1 1 1 0 0]
[0 0 0 0 1 0 0 0 0 0 1 1 0 1 0]
[0 0 0 0 0 1 0 0 0 0 1 0 1 1 0]
[0 0 0 0 0 0 1 0 0 0 1 1 0 0 1]
[0 0 0 0 0 0 0 1 0 0 1 0 1 0 1]
[0 0 0 0 0 0 0 0 1 0 0 1 1 0 1]
[0 0 0 0 0 0 0 0 0 1 1 0 0 1 1]

[15, 11, 3] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 1 0 1]
[0 1 0 0 0 0 0 0 0 0 0 1 2 0 2]
[0 0 1 0 0 0 0 0 0 0 0 2 0 0 1]
[0 0 0 1 0 0 0 0 0 0 0 2 1 2 1]
[0 0 0 0 1 0 0 0 0 0 0 2 1 0 0]
[0 0 0 0 0 1 0 0 0 0 0 1 2 2 1]
[0 0 0 0 0 0 1 0 0 0 0 0 2 2 2]
[0 0 0 0 0 0 0 1 0 0 0 1 1 2 2]
[0 0 0 0 0 0 0 0 1 0 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 1 0 2 2 2 2]
[0 0 0 0 0 0 0 0 0 0 1 2 0 1 2]

[15, 12, 2] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 1 2]
[0 1 0 0 0 0 0 0 0 0 0 0 0 1 1]
[0 0 1 0 0 0 0 0 0 0 0 2 0 0 1]
[0 0 0 1 0 0 0 0 0 0 0 2 0 2 2]
[0 0 0 0 1 0 0 0 0 0 0 2 0 2 2]
[0 0 0 0 0 1 0 0 0 0 0 2 0 1 0]
[0 0 0 0 0 0 1 0 0 0 0 1 0 1 0]
[0 0 0 0 0 0 0 1 0 0 0 1 0 0 1]
[0 0 0 0 0 0 0 0 1 0 0 1 0 2 2]
[0 0 0 0 0 0 0 0 0 1 0 2 0 2 1]
[0 0 0 0 0 0 0 0 0 0 1 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 0 0 1 2 0]

[15, 13, 2] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 1 0 0 1]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 2]
[0 0 1 0 0 0 0 0 0 0 0 2 0 0 1]
[0 0 0 1 0 0 0 0 0 0 0 2 0 0 1]
[0 0 0 0 1 0 0 0 0 0 0 2 0 0 1]
[0 0 0 0 0 1 0 0 0 0 0 2 0 0 1]
[0 0 0 0 0 0 1 0 0 0 0 1 0 0 1]
[0 0 0 0 0 0 0 1 0 0 0 1 0 0 1]
[0 0 0 0 0 0 0 0 1 0 0 1 0 0 1]
[0 0 0 0 0 0 0 0 0 1 0 2 0 0 0]
[0 0 0 0 0 0 0 0 0 0 1 2 0 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 2]

[15, 14, 2] Cyclic Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 2]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 2]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 2]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 2]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 2]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 2]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 2]

——————————————————————

n=16

[16, 1, 15] Linear Code over GF(3)
Generator matrix:
[1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0]

[16, 2, 11] Linear Code over GF(3)
Generator matrix:
[1 0 2 0 2 2 2 1 1 1 2 2 2 0 0 0]
[0 1 1 0 1 1 1 0 0 0 2 2 2 1 1 1]

[16, 3, 10] Linear Code over GF(3)
Generator matrix:
[1 0 0 1 1 2 1 1 1 0 1 0 0 1 1 0]
[0 1 0 1 1 2 1 1 2 1 2 1 1 2 2 1]
[0 0 1 1 1 0 2 2 0 2 2 1 1 1 1 0]

[16, 4, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 2 1 1 2 2 2 2 1 2 1 0 1]
[0 1 0 0 1 1 0 0 1 1 2 1 0 2 1 2]
[0 0 1 0 0 1 0 2 2 2 2 2 1 2 1 0]
[0 0 0 1 1 1 1 1 1 2 0 0 1 0 1 0]

[16, 5, 8] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 2 2 2 0 0 2 0 1 2 1 1]
[0 1 0 0 0 2 2 2 0 1 0 1 2 0 2 2]
[0 0 1 0 0 1 1 2 1 2 0 1 0 2 2 2]
[0 0 0 1 0 1 2 0 1 1 2 1 2 1 0 2]
[0 0 0 0 1 1 2 0 2 2 1 1 1 1 2 0]

[16, 6, 7] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 1 0 1 1 2 2 0 1 0 0 1]
[0 1 0 0 0 2 0 2 2 1 2 1 0 1 1 0]
[0 0 1 0 0 0 0 0 1 1 2 1 1 1 0 0]
[0 0 0 1 0 1 0 2 2 0 0 1 1 0 1 1]
[0 0 0 0 1 1 0 2 0 0 2 0 0 1 2 1]
[0 0 0 0 0 0 1 1 0 2 1 2 2 0 1 1]

[16, 7, 6] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 2 0 2 2 2 1 1 2 1]
[0 1 0 0 0 0 0 0 0 0 1 1 1 1 1 1]
[0 0 1 0 0 0 0 0 1 1 2 1 1 1 0 0]
[0 0 0 1 0 0 0 1 1 1 1 1 0 0 1 0]
[0 0 0 0 1 0 0 1 2 1 0 0 2 1 2 0]
[0 0 0 0 0 1 0 1 1 2 2 0 1 0 0 1]
[0 0 0 0 0 0 1 1 0 2 1 2 2 0 1 1]

[16, 8, 6] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 1 1 0 2 1 2]
[0 1 0 0 0 0 0 0 0 0 0 1 1 1 1 1]
[0 0 1 0 0 0 0 0 0 0 1 2 2 1 1 0]
[0 0 0 1 0 0 0 0 1 1 1 1 1 0 0 0]
[0 0 0 0 1 0 0 0 1 2 2 1 0 1 0 0]
[0 0 0 0 0 1 0 0 0 1 2 2 1 1 0 0]
[0 0 0 0 0 0 1 0 1 2 2 0 1 0 0 1]
[0 0 0 0 0 0 0 1 1 0 2 1 0 0 1 1]

[16, 9, 5] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 2 0 1 0 2 2]
[0 1 0 0 0 0 0 0 0 0 0 0 1 1 1 1]
[0 0 1 0 0 0 0 0 0 0 0 1 2 1 1 0]
[0 0 0 1 0 0 0 0 0 1 1 1 1 0 0 0]
[0 0 0 0 1 0 0 0 0 1 2 1 0 1 0 0]
[0 0 0 0 0 1 0 0 0 0 1 2 1 1 0 0]
[0 0 0 0 0 0 1 0 0 1 0 2 2 1 0 0]
[0 0 0 0 0 0 0 1 0 1 2 2 0 0 1 0]
[0 0 0 0 0 0 0 0 1 1 0 2 1 0 0 1]

[16, 10, 4] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 2 0 2 0 2 0 1]
[0 1 0 0 0 0 0 0 0 2 0 1 1 2 0 1]
[0 0 1 0 0 0 0 0 0 1 0 1 0 0 1 1]
[0 0 0 1 0 0 0 0 0 2 0 0 0 1 0 2]
[0 0 0 0 1 0 0 0 0 0 0 1 2 0 2 1]
[0 0 0 0 0 1 0 0 0 2 0 2 1 1 2 0]
[0 0 0 0 0 0 1 0 0 2 0 0 1 0 1 1]
[0 0 0 0 0 0 0 1 0 0 0 0 1 2 2 1]
[0 0 0 0 0 0 0 0 1 2 0 2 2 2 1 2]
[0 0 0 0 0 0 0 0 0 0 1 1 1 2 1 0]

[16, 11, 4] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0]
[0 1 0 0 0 0 0 0 0 0 0 0 2 1 0 2]
[0 0 1 0 0 0 0 0 0 0 0 1 0 1 2 2]
[0 0 0 1 0 0 0 0 0 0 0 2 2 2 0 0]
[0 0 0 0 1 0 0 0 0 0 0 2 2 2 1 2]
[0 0 0 0 0 1 0 0 0 0 0 2 1 0 1 2]
[0 0 0 0 0 0 1 0 0 0 0 0 2 1 2 1]
[0 0 0 0 0 0 0 1 0 0 0 2 0 0 2 2]
[0 0 0 0 0 0 0 0 1 0 0 1 0 1 1 0]
[0 0 0 0 0 0 0 0 0 1 0 2 2 0 0 1]
[0 0 0 0 0 0 0 0 0 0 1 0 2 2 2 2]

[16, 12, 3] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 1]
[0 0 1 0 0 0 0 0 0 0 0 0 1 2 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 1]
[0 0 0 0 1 0 0 0 0 0 0 0 2 1 2 1]
[0 0 0 0 0 1 0 0 0 0 0 0 2 1 0 0]
[0 0 0 0 0 0 1 0 0 0 0 0 1 2 2 1]
[0 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2]
[0 0 0 0 0 0 0 0 1 0 0 0 1 1 2 2]
[0 0 0 0 0 0 0 0 0 1 0 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 1 0 2 2 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 2 0 1 2]

[16, 13, 2] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2]
[0 0 1 0 0 0 0 0 0 0 0 0 2 0 0 1]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 1]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 1]
[0 0 0 0 0 1 0 0 0 0 0 0 2 0 1 0]
[0 0 0 0 0 0 1 0 0 0 0 0 2 0 2 2]
[0 0 0 0 0 0 0 1 0 0 0 0 2 0 2 2]
[0 0 0 0 0 0 0 0 1 0 0 0 1 0 2 2]
[0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 1]
[0 0 0 0 0 0 0 0 0 0 1 0 2 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 1 2 0 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0]

[16, 14, 2] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2]

[16, 15, 1] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 0]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 0]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 0]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 0]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 0]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1]

——————————————————————

n=17

[17, 1, 15] Linear Code over GF(3)
Generator matrix:
[1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0]

[17, 2, 13] Linear Code over GF(3)
Generator matrix:
[1 0 2 1 1 1 0 2 1 1 0 1 2 1 0 1 2]
[0 1 1 1 1 1 1 1 0 0 1 1 1 0 1 1 1]

[17, 3, 10] Linear Code over GF(3)
Generator matrix:
[1 0 0 2 2 1 2 2 2 0 2 2 0 0 2 2 0]
[0 1 0 2 2 1 2 2 0 1 0 0 1 1 0 0 1]
[0 0 1 0 0 1 1 1 2 2 1 1 1 1 0 0 0]

[17, 4, 10] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 1 2 1 0 2 2 1 1 0 2 0 0 1]
[0 1 0 0 1 0 1 1 0 1 1 0 0 1 1 1 1]
[0 0 1 0 0 1 1 1 0 0 0 1 1 1 2 1 2]
[0 0 0 1 0 0 0 0 1 1 1 1 1 1 1 2 2]

[17, 5, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 2 2 1 1 1 0 1 2 2 1 1 2]
[0 1 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1]
[0 0 1 0 0 0 0 1 1 2 2 2 1 1 1 0 0]
[0 0 0 1 0 1 1 2 1 2 1 1 1 0 0 0 0]
[0 0 0 0 1 1 2 1 1 1 1 0 0 1 0 1 0]

[17, 6, 8] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 2 2 1 1 1 0 1 2 2 1]
[0 1 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1]
[0 0 1 0 0 0 0 0 1 1 2 2 1 1 1 0 0]
[0 0 0 1 0 0 1 1 1 1 1 1 1 0 0 0 0]
[0 0 0 0 1 0 1 2 2 1 1 0 0 2 1 0 0]
[0 0 0 0 0 1 1 1 0 2 1 2 0 1 0 1 0]

[17, 7, 7] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 1 0 2 0 2 0 1 1 2 2]
[0 1 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1]
[0 0 1 0 0 0 0 0 0 1 1 2 1 1 1 0 0]
[0 0 0 1 0 0 0 1 1 1 1 1 1 0 0 0 0]
[0 0 0 0 1 0 0 1 2 2 1 0 0 2 1 0 0]
[0 0 0 0 0 1 0 1 1 2 0 1 0 1 0 1 0]
[0 0 0 0 0 0 1 0 1 0 1 2 2 2 0 1 0]

[17, 8, 6] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 2 0 0 1 2 2 1]
[0 1 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1]
[0 0 1 0 0 0 0 0 0 0 0 1 2 2 1 1 0]
[0 0 0 1 0 0 0 0 1 1 1 1 1 0 0 0 0]
[0 0 0 0 1 0 0 0 1 2 2 1 0 1 0 0 0]
[0 0 0 0 0 1 0 0 1 1 0 2 2 1 0 0 0]
[0 0 0 0 0 0 1 0 1 2 0 2 1 0 1 0 0]
[0 0 0 0 0 0 0 1 1 2 1 0 2 0 0 1 0]

[17, 9, 6] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 2 1 2 1 0 2 2 1]
[0 1 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1]
[0 0 1 0 0 0 0 0 0 0 0 1 2 2 1 1 0]
[0 0 0 1 0 0 0 0 0 1 1 1 1 1 0 0 0]
[0 0 0 0 1 0 0 0 0 1 2 2 1 0 1 0 0]
[0 0 0 0 0 1 0 0 0 0 1 2 2 1 1 0 0]
[0 0 0 0 0 0 1 0 0 1 2 0 2 1 2 0 0]
[0 0 0 0 0 0 0 1 0 1 1 2 2 0 0 0 1]
[0 0 0 0 0 0 0 0 1 0 1 0 2 2 0 1 1]

[17, 10, 5] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 1 1 0 2 0 2 1]
[0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1]
[0 0 1 0 0 0 0 0 0 0 0 0 1 2 1 1 0]
[0 0 0 1 0 0 0 0 0 0 1 1 1 1 0 0 0]
[0 0 0 0 1 0 0 0 0 0 1 2 1 0 1 0 0]
[0 0 0 0 0 1 0 0 0 0 0 1 2 1 1 0 0]
[0 0 0 0 0 0 1 0 0 0 1 0 2 2 1 0 0]
[0 0 0 0 0 0 0 1 0 0 1 2 2 1 2 0 0]
[0 0 0 0 0 0 0 0 1 0 1 2 2 0 0 0 1]
[0 0 0 0 0 0 0 0 0 1 1 1 1 0 0 1 1]

[17, 11, 4] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 2 0 1 2 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1]
[0 0 1 0 0 0 0 0 0 0 0 0 0 1 1 1 0]
[0 0 0 1 0 0 0 0 0 0 0 1 1 1 0 0 0]
[0 0 0 0 1 0 0 0 0 0 0 1 1 0 1 0 0]
[0 0 0 0 0 1 0 0 0 0 0 1 0 1 1 0 0]
[0 0 0 0 0 0 1 0 0 0 0 0 1 1 1 0 0]
[0 0 0 0 0 0 0 1 0 0 0 1 1 0 0 1 0]
[0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 1 0]
[0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 1 0]
[0 0 0 0 0 0 0 0 0 0 1 1 0 0 1 1 0]

[17, 12, 4] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 2 0 0 0 1 2 0 0]
[0 1 0 0 0 0 0 0 0 2 0 0 0 1 0 2 0]
[0 0 1 0 0 0 0 0 0 2 0 0 0 2 1 2 0]
[0 0 0 1 0 0 0 0 0 2 0 0 0 1 1 1 2]
[0 0 0 0 1 0 0 0 0 2 0 0 0 0 2 1 2]
[0 0 0 0 0 1 0 0 0 2 0 0 0 0 1 2 2]
[0 0 0 0 0 0 1 0 0 2 0 0 0 0 1 1 0]
[0 0 0 0 0 0 0 1 0 2 0 0 0 2 0 0 2]
[0 0 0 0 0 0 0 0 1 2 0 0 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 1 0 0 2 2 1 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 2 2]
[0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2]

[17, 13, 3] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 1]
[0 0 0 1 0 0 0 0 0 0 0 0 0 1 2 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 1]
[0 0 0 0 0 1 0 0 0 0 0 0 0 2 1 2 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 0 0]
[0 0 0 0 0 0 0 1 0 0 0 0 0 1 2 2 1]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2]
[0 0 0 0 0 0 0 0 0 1 0 0 0 1 1 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 1 0 2 2 2 2]
[0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 1 2]

[17, 14, 2] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2]
[0 0 1 0 0 0 0 0 0 0 0 0 0 2 0 0 1]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 1]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 1]
[0 0 0 0 0 1 0 0 0 0 0 0 0 2 0 1 0]
[0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 2 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 2 0 2 2]
[0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 2 2]
[0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 1]
[0 0 0 0 0 0 0 0 0 0 1 0 0 2 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 1 0 2 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0]

[17, 15, 2] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2]
[0 0 1 0 0 0 0 0 0 0 0 0 2 0 0 0 1]
[0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 0 1]
[0 0 0 0 1 0 0 0 0 0 0 0 2 0 0 0 1]
[0 0 0 0 0 1 0 0 0 0 0 0 2 0 0 0 1]
[0 0 0 0 0 0 1 0 0 0 0 0 2 0 0 0 1]
[0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 0 1]
[0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 1]
[0 0 0 0 0 0 0 0 0 0 1 0 2 0 0 0 0]
[0 0 0 0 0 0 0 0 0 0 0 1 2 0 0 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2]

[17, 16, 1] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 0]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 0 0]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 0 0]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 0 0]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 0 0]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 0 0]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1]

——————————————————————

n=18

[18, 1, 18] Cyclic Linear Code over GF(3)
Generator matrix:
[1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1]

[18, 2, 13] Linear Code over GF(3)
Generator matrix:
[1 0 1 1 1 1 1 2 2 2 1 1 1 1 0 0 0 0]
[0 1 2 2 2 2 2 2 2 2 0 0 0 0 1 1 1 1]

[18, 3, 11] Linear Code over GF(3)
Generator matrix:
[1 0 0 1 1 2 1 1 2 1 0 2 1 0 0 2 1 0]
[0 1 0 2 2 1 2 2 2 0 1 2 0 1 1 2 0 1]
[0 0 1 1 1 0 2 2 1 0 2 0 2 1 1 2 1 0]

[18, 4, 10] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 2 2 2 2 0 2 1 1 0 2 0 2 0 2]
[0 1 0 0 1 1 1 1 0 2 0 0 1 2 1 2 1 2]
[0 0 1 0 1 1 2 2 1 0 1 0 1 2 1 1 0 1]
[0 0 0 1 0 1 2 1 1 1 0 1 1 0 0 1 1 0]

[18, 5, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 1 1 2 2 2 0 2 0 1 1 2 0 1]
[0 1 0 0 0 2 2 1 1 1 1 2 1 0 0 2 1 0]
[0 0 1 0 0 0 0 0 1 1 2 2 2 1 1 1 0 0]
[0 0 0 1 0 1 2 0 1 0 2 0 1 2 1 2 0 1]
[0 0 0 0 1 2 0 0 2 2 1 2 0 2 0 1 1 2]

[18, 6, 8] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 2 2 1 1 1 0 1 2 2 1 0]
[0 1 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 0]
[0 0 1 0 0 0 0 0 1 1 2 2 1 1 1 0 0 0]
[0 0 0 1 0 0 1 1 1 1 1 1 1 0 0 0 0 0]
[0 0 0 0 1 0 1 2 2 1 1 0 0 2 1 0 0 0]
[0 0 0 0 0 1 1 1 0 2 1 2 0 1 0 1 0 0]

[18, 7, 8] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 2 1 2 1 2 1 1 2 1 2]
[0 1 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1]
[0 0 1 0 0 0 0 0 0 1 1 2 2 1 1 1 0 0]
[0 0 0 1 0 0 0 1 1 1 1 1 1 1 0 0 0 0]
[0 0 0 0 1 0 0 1 2 2 1 1 0 0 2 1 0 0]
[0 0 0 0 0 1 0 1 1 0 2 1 2 0 1 0 1 0]
[0 0 0 0 0 0 1 1 0 2 2 1 0 1 1 0 0 1]

[18, 7, 8] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 1 2 2 0 1 1 0 1 2 1 2]
[0 1 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1]
[0 0 1 0 0 0 0 0 0 1 1 2 2 1 1 1 0 0]
[0 0 0 1 0 0 0 1 1 1 1 1 1 1 0 0 0 0]
[0 0 0 0 1 0 0 1 2 2 1 1 0 0 2 1 0 0]
[0 0 0 0 0 1 0 1 1 0 2 1 2 0 1 0 1 0]
[0 0 0 0 0 0 1 1 0 2 2 1 0 1 1 0 0 1]

[18, 8, 7] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 2 1 1 1 0 1 0 1 1]
[0 1 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1]
[0 0 1 0 0 0 0 0 0 0 1 1 2 1 1 1 0 0]
[0 0 0 1 0 0 0 0 1 1 1 1 1 1 0 0 0 0]
[0 0 0 0 1 0 0 0 1 2 2 1 0 0 2 1 0 0]
[0 0 0 0 0 1 0 0 1 1 2 0 1 0 1 0 1 0]
[0 0 0 0 0 0 1 0 1 2 1 2 0 1 2 0 1 0]
[0 0 0 0 0 0 0 1 1 0 2 2 1 1 0 1 1 0]

[18, 9, 6] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 2 1 0 0 1 0 1 0 1]
[0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1]
[0 0 1 0 0 0 0 0 0 0 0 0 1 2 2 1 1 0]
[0 0 0 1 0 0 0 0 0 1 1 1 1 1 0 0 0 0]
[0 0 0 0 1 0 0 0 0 1 2 2 1 0 1 0 0 0]
[0 0 0 0 0 1 0 0 0 0 1 2 2 1 1 0 0 0]
[0 0 0 0 0 0 1 0 0 1 0 1 2 2 1 0 0 0]
[0 0 0 0 0 0 0 1 0 1 2 1 2 0 0 1 0 0]
[0 0 0 0 0 0 0 0 1 1 2 0 2 1 0 0 1 0]

[18, 10, 5] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 1 0 1 0 2 2 2 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1]
[0 0 1 0 0 0 0 0 0 0 0 0 1 2 2 1 1 0]
[0 0 0 1 0 0 0 0 0 0 1 1 1 1 1 0 0 0]
[0 0 0 0 1 0 0 0 0 0 1 2 2 1 0 1 0 0]
[0 0 0 0 0 1 0 0 0 0 0 1 2 2 1 1 0 0]
[0 0 0 0 0 0 1 0 0 0 1 2 0 2 1 2 0 0]
[0 0 0 0 0 0 0 1 0 0 1 1 2 2 0 0 0 1]
[0 0 0 0 0 0 0 0 1 0 0 1 0 2 2 0 1 1]
[0 0 0 0 0 0 0 0 0 1 1 2 1 1 2 0 2 1]

[18, 11, 5] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 2 1]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1]
[0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 1 1 0]
[0 0 0 1 0 0 0 0 0 0 0 1 1 1 1 0 0 0]
[0 0 0 0 1 0 0 0 0 0 0 1 2 1 0 1 0 0]
[0 0 0 0 0 1 0 0 0 0 0 0 1 2 1 1 0 0]
[0 0 0 0 0 0 1 0 0 0 0 1 0 2 2 1 0 0]
[0 0 0 0 0 0 0 1 0 0 0 1 2 2 1 2 0 0]
[0 0 0 0 0 0 0 0 1 0 0 1 2 2 0 0 0 1]
[0 0 0 0 0 0 0 0 0 1 0 1 1 0 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 1 0 1 1 0 0 2 1]

[18, 12, 4] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 1]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0]
[0 0 0 1 0 0 0 0 0 0 0 0 1 1 1 0 0 0]
[0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 1 0 0]
[0 0 0 0 0 1 0 0 0 0 0 0 1 0 1 1 0 0]
[0 0 0 0 0 0 1 0 0 0 0 0 0 1 1 1 0 0]
[0 0 0 0 0 0 0 1 0 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 0]
[0 0 0 0 0 0 0 0 0 1 0 0 0 1 1 0 1 0]
[0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 1 0]
[0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 0]

[18, 13, 4] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 2 0 0 0 1 2 2 2]
[0 1 0 0 0 0 0 0 0 0 2 0 0 0 1 2 0 0]
[0 0 1 0 0 0 0 0 0 0 2 0 0 0 1 0 2 0]
[0 0 0 1 0 0 0 0 0 0 2 0 0 0 2 1 2 0]
[0 0 0 0 1 0 0 0 0 0 2 0 0 0 1 1 1 2]
[0 0 0 0 0 1 0 0 0 0 2 0 0 0 0 2 1 2]
[0 0 0 0 0 0 1 0 0 0 2 0 0 0 0 1 2 2]
[0 0 0 0 0 0 0 1 0 0 2 0 0 0 0 1 1 0]
[0 0 0 0 0 0 0 0 1 0 2 0 0 0 2 0 0 2]
[0 0 0 0 0 0 0 0 0 1 2 0 0 0 2 2 1 0]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 2 1 2]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 2 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2]

[18, 14, 3] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 1 1]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 1]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 1 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 2 0]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 2 2]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 1 1 2]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 1]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 2 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 1 0]

[18, 15, 2] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 2]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 0 1]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 1]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 1]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 1 0]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 0 2 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 2 2]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 1 0]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 1]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1]

[18, 16, 2] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2]
[0 0 1 0 0 0 0 0 0 0 0 0 0 2 0 0 0 1]
[0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 0 0 1]
[0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 0 1]
[0 0 0 0 0 1 0 0 0 0 0 0 0 2 0 0 0 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 0 0 1]
[0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1]
[0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 1]
[0 0 0 0 0 0 0 0 0 0 1 0 0 2 0 0 0 0]
[0 0 0 0 0 0 0 0 0 0 0 1 0 2 0 0 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 0 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2]

[18, 17, 2] Cyclic Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2]

——————————————————————

n=19

[19, 1, 18] Linear Code over GF(3)
Generator matrix:
[1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0]

[19, 2, 14] Linear Code over GF(3)
Generator matrix:
[1 0 2 2 2 2 2 0 0 0 0 2 2 2 2 1 1 1 1]
[0 1 1 1 1 1 1 1 1 1 1 2 2 2 2 0 0 0 0]

[19, 3, 12] Linear Code over GF(3)
Generator matrix:
[1 0 0 1 0 0 2 2 2 0 0 1 1 2 2 1 1 1 1]
[0 1 0 1 1 1 0 0 1 2 2 2 2 0 0 1 1 1 1]
[0 0 1 0 1 1 2 2 0 1 1 1 1 1 1 1 1 2 2]

[19, 4, 11] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 1 0 2 2 2 2 1 2 2 0 2 1 2 0 1]
[0 1 0 0 0 1 1 2 0 1 0 2 2 2 1 2 1 0 1]
[0 0 1 0 1 0 1 0 2 0 0 0 1 2 2 2 1 2 2]
[0 0 0 1 1 1 1 0 1 2 0 1 2 1 0 0 1 0 2]

[19, 5, 10] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 2 2 2 0 1 2 2 0 2 1 2 0 1 0]
[0 1 0 0 0 1 0 1 1 1 1 0 0 1 0 0 1 1 2]
[0 0 1 0 0 1 0 2 1 0 0 1 2 2 2 1 2 2 0]
[0 0 0 1 0 1 1 2 2 1 0 0 2 0 1 0 1 2 2]
[0 0 0 0 1 0 2 2 2 2 1 2 2 0 2 1 2 0 1]

[19, 6, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 2 0 1 0 0 0 2 1 1 1 0 2 2]
[0 1 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1]
[0 0 1 0 0 0 0 0 0 1 1 2 2 2 1 1 1 0 0]
[0 0 0 1 0 0 1 1 1 1 1 0 1 0 2 1 0 0 0]
[0 0 0 0 1 0 1 1 2 1 2 1 2 2 0 0 0 0 0]
[0 0 0 0 0 1 1 2 1 0 2 2 0 2 2 0 0 2 0]

[19, 7, 8] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 2 2 0 0 1 0 1 1 0 1 2]
[0 1 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1]
[0 0 1 0 0 0 0 1 1 1 1 0 1 1 1 1 1 2 2]
[0 0 0 1 0 0 0 1 2 2 1 1 2 1 1 0 0 0 0]
[0 0 0 0 1 0 0 1 2 1 2 1 0 2 0 1 1 0 0]
[0 0 0 0 0 1 0 1 2 0 1 2 1 2 0 2 0 1 0]
[0 0 0 0 0 0 1 1 1 2 0 1 1 2 2 1 2 1 2]

[19, 8, 7] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 1 2 1 0 0 2 1 2 2 2 1]
[0 1 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1]
[0 0 1 0 0 0 0 0 0 0 1 1 2 2 1 1 1 0 0]
[0 0 0 1 0 0 0 0 1 1 1 1 1 1 1 0 0 0 0]
[0 0 0 0 1 0 0 0 1 2 2 1 1 0 0 2 1 0 0]
[0 0 0 0 0 1 0 0 1 0 2 1 2 1 0 1 0 1 0]
[0 0 0 0 0 0 1 0 0 1 0 1 2 1 2 1 0 0 1]
[0 0 0 0 0 0 0 1 1 0 1 0 2 2 0 0 1 2 1]

[19, 9, 7] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 1 2 2 2 0 2 1 2 1 2]
[0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1]
[0 0 1 0 0 0 0 0 0 0 0 1 1 2 1 1 1 0 0]
[0 0 0 1 0 0 0 0 0 1 1 1 1 1 1 0 0 0 0]
[0 0 0 0 1 0 0 0 0 1 2 2 1 0 0 2 1 0 0]
[0 0 0 0 0 1 0 0 0 1 1 2 0 1 0 1 0 1 0]
[0 0 0 0 0 0 1 0 0 1 2 1 2 0 1 2 0 1 0]
[0 0 0 0 0 0 0 1 0 1 0 2 2 1 1 0 1 1 0]
[0 0 0 0 0 0 0 0 1 1 0 0 2 2 1 2 0 0 1]

[19, 10, 6] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 2 1 0 1 0 2 2 2 1]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1]
[0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 1 1 0]
[0 0 0 1 0 0 0 0 0 0 1 1 1 1 1 0 0 0 0]
[0 0 0 0 1 0 0 0 0 0 1 2 2 1 0 1 0 0 0]
[0 0 0 0 0 1 0 0 0 0 0 1 2 2 1 1 0 0 0]
[0 0 0 0 0 0 1 0 0 0 1 0 1 2 2 1 0 0 0]
[0 0 0 0 0 0 0 1 0 0 1 2 1 2 0 0 1 0 0]
[0 0 0 0 0 0 0 0 1 0 1 2 0 2 1 0 0 1 0]
[0 0 0 0 0 0 0 0 0 1 1 0 2 1 0 0 1 1 0]

[19, 11, 6] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 2 0 0 2 1 2 2]
[0 1 0 0 0 0 0 0 0 0 0 1 2 2 2 0 0 1 0]
[0 0 1 0 0 0 0 0 0 0 0 0 1 2 2 2 0 0 1]
[0 0 0 1 0 0 0 0 0 0 0 2 1 1 0 2 1 0 2]
[0 0 0 0 1 0 0 0 0 0 0 1 1 1 0 0 0 1 1]
[0 0 0 0 0 1 0 0 0 0 0 2 2 1 2 0 2 0 0]
[0 0 0 0 0 0 1 0 0 0 0 0 2 2 1 2 0 2 0]
[0 0 0 0 0 0 0 1 0 0 0 0 0 2 2 1 2 0 2]
[0 0 0 0 0 0 0 0 1 0 0 1 2 0 1 2 2 2 1]
[0 0 0 0 0 0 0 0 0 1 0 2 2 2 1 1 1 2 1]
[0 0 0 0 0 0 0 0 0 0 1 2 0 2 0 1 0 1 1]

[19, 12, 5] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 2 0 0 2 1 2 2]
[0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 0 1]
[0 0 1 0 0 0 0 0 0 0 0 0 1 2 2 2 0 0 1]
[0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 2 0 1 1]
[0 0 0 0 1 0 0 0 0 0 0 0 2 1 0 0 1 0 2]
[0 0 0 0 0 1 0 0 0 0 0 0 1 1 2 0 1 1 2]
[0 0 0 0 0 0 1 0 0 0 0 0 2 2 1 2 0 2 0]
[0 0 0 0 0 0 0 1 0 0 0 0 0 2 2 1 2 0 2]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 2 0 1 2]
[0 0 0 0 0 0 0 0 0 1 0 0 1 2 1 1 0 0 0]
[0 0 0 0 0 0 0 0 0 0 1 0 2 2 0 1 2 2 0]
[0 0 0 0 0 0 0 0 0 0 0 1 2 0 0 0 2 1 2]

[19, 13, 4] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 1 2 1]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0]
[0 0 0 1 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0]
[0 0 0 0 1 0 0 0 0 0 0 0 0 1 1 0 1 0 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 1 1 0 0]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 1 0 0]
[0 0 0 0 0 0 0 1 0 0 0 0 0 1 1 0 0 1 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 1 0 1 0]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 0 1 0]
[0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 1 1 0]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 0]

[19, 14, 3] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 1 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 1 1 0]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 1 0 1]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 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 0 0 0 0 0 0 1 0 0 0 0 1 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 2 2 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 2 1]

[19, 15, 3] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 1 1]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 1]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 1 0]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 1 1]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 2 2]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 1 1 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 2 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 1 0]

[19, 16, 2] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 2 0 0 0 1 0]
[0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 0 0 1 0]
[0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 2 0 0 0 1 0]
[0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 0 0 1 0]
[0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 0 1 0]
[0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 1 0]
[0 0 0 0 0 0 0 0 0 0 1 0 0 2 0 0 0 0 0]
[0 0 0 0 0 0 0 0 0 0 0 1 0 2 0 0 0 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 0 0 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0]

[19, 17, 2] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 0 2]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 0 0 2]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 0 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 0 0 1]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 0 1]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 1]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 0 0 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 0 0 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 0 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2]

[19, 18, 1] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 0]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 0]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1]

——————————————————————

n=20

[20, 1, 18] Quasicyclic of degree 10 Linear Code over GF(3)
Generator matrix:
[1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0]

[20, 2, 14] Linear Code over GF(3)
Generator matrix:
[1 0 2 0 2 2 2 2 0 0 0 0 2 2 2 2 1 1 1 1]
[0 1 1 0 1 1 1 1 1 1 1 1 2 2 2 2 0 0 0 0]

[20, 3, 13] Linear Code over GF(3)
Generator matrix:
[1 0 0 1 1 0 1 1 2 0 1 1 2 0 0 1 2 0 1 2]
[0 1 0 1 1 0 1 1 2 1 2 2 0 1 1 2 0 1 2 0]
[0 0 1 1 1 1 2 2 0 0 1 1 2 1 1 2 0 2 0 1]

[20, 4, 12] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 2 1 2 1 0 1 0 1 2 0 0 2 1 1 2 1]
[0 1 0 0 1 0 1 1 1 0 1 1 0 0 1 1 1 0 1 1]
[0 0 1 0 0 1 1 1 2 0 0 0 1 1 1 2 0 1 1 2]
[0 0 0 1 0 0 0 0 0 1 1 1 1 1 1 1 2 2 2 2]

[20, 5, 11] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 2 0 1 0 1 1 0 1 2 2 0 1 0 2 1]
[0 1 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1]
[0 0 1 0 0 0 1 1 1 1 0 0 0 1 1 1 1 2 2 2]
[0 0 0 1 0 1 2 2 1 1 2 1 1 1 0 0 0 1 0 0]
[0 0 0 0 1 1 2 0 2 1 1 2 0 0 2 1 1 2 0 0]

[20, 6, 10] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 2 0 2 1 1 2 0 2 0 1 2 0 2]
[0 1 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1]
[0 0 1 0 0 0 0 0 1 1 1 2 2 1 1 1 1 0 0 0]
[0 0 0 1 0 0 1 1 2 1 1 1 1 1 0 0 0 1 0 0]
[0 0 0 0 1 0 1 2 0 1 2 2 2 0 2 2 0 0 2 0]
[0 0 0 0 0 1 1 2 1 0 1 2 1 0 1 0 1 1 1 0]

[20, 7, 9] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 1 1 1 0 0 0 2 1 0 1 0 1 2]
[0 1 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1]
[0 0 1 0 0 0 0 0 0 0 1 1 2 2 2 1 1 1 0 0]
[0 0 0 1 0 0 0 1 1 1 2 1 1 1 1 0 0 0 0 0]
[0 0 0 0 1 0 0 1 2 2 2 1 2 0 0 1 1 0 0 0]
[0 0 0 0 0 1 0 1 2 0 1 2 1 1 0 1 0 0 1 0]
[0 0 0 0 0 0 1 1 1 2 1 0 1 0 1 2 0 1 1 0]

[20, 8, 8] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 2 1 2 2 0 1 1 1 0 1 2 1]
[0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1]
[0 0 1 0 0 0 0 0 0 0 0 1 1 2 2 1 1 1 0 0]
[0 0 0 1 0 0 0 0 1 1 1 1 1 1 1 0 0 0 0 0]
[0 0 0 0 1 0 0 0 1 2 0 2 1 1 0 1 1 0 0 0]
[0 0 0 0 0 1 0 0 1 1 2 0 2 0 1 2 1 0 0 0]
[0 0 0 0 0 0 1 0 1 2 2 1 2 0 0 1 0 0 1 0]
[0 0 0 0 0 0 0 1 1 0 1 2 2 1 0 0 0 1 1 0]

[20, 9, 7] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 1 2 2 0 1 0 2 2 0 2 2]
[0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1]
[0 0 1 0 0 0 0 0 0 0 0 1 1 2 2 1 1 1 0 0]
[0 0 0 1 0 0 0 0 0 1 1 1 1 1 1 1 0 0 0 0]
[0 0 0 0 1 0 0 0 0 1 2 2 1 1 0 0 2 1 0 0]
[0 0 0 0 0 1 0 0 0 1 0 2 1 2 1 0 1 0 1 0]
[0 0 0 0 0 0 1 0 0 0 1 0 2 0 2 2 1 2 0 1]
[0 0 0 0 0 0 0 1 0 1 0 2 2 0 1 2 0 1 1 1]
[0 0 0 0 0 0 0 0 1 0 1 2 0 0 1 2 2 0 1 2]

[20, 10, 6] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 2 0 2 2 0 0 1 2 2 2]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1]
[0 0 1 0 0 0 0 0 0 0 0 0 1 1 2 1 1 1 0 0]
[0 0 0 1 0 0 0 0 0 0 1 1 1 1 1 1 0 0 0 0]
[0 0 0 0 1 0 0 0 0 0 1 2 2 1 0 0 2 1 0 0]
[0 0 0 0 0 1 0 0 0 0 1 1 2 0 1 0 1 0 1 0]
[0 0 0 0 0 0 1 0 0 0 1 2 1 2 0 1 2 0 1 0]
[0 0 0 0 0 0 0 1 0 0 1 0 2 2 1 1 0 1 1 0]
[0 0 0 0 0 0 0 0 1 0 1 2 0 1 0 1 1 0 0 1]
[0 0 0 0 0 0 0 0 0 1 0 1 1 2 2 0 2 1 1 1]

[20, 11, 6] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 2 2 1 0 0 0 0 1 2]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 2 2 1 1 0]
[0 0 0 1 0 0 0 0 0 0 0 1 1 1 1 1 0 0 0 0]
[0 0 0 0 1 0 0 0 0 0 0 1 2 2 1 0 1 0 0 0]
[0 0 0 0 0 1 0 0 0 0 0 0 1 2 2 1 1 0 0 0]
[0 0 0 0 0 0 1 0 0 0 0 1 0 1 2 2 1 0 0 0]
[0 0 0 0 0 0 0 1 0 0 0 1 2 0 2 1 2 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 1 2 1 2 0 0 1 0 0]
[0 0 0 0 0 0 0 0 0 1 0 1 0 2 2 1 0 0 1 0]
[0 0 0 0 0 0 0 0 0 0 1 1 2 2 0 0 0 2 1 0]

[20, 12, 5] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 2 1 1 2 2 0 2 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 2 2 1 1 0]
[0 0 0 1 0 0 0 0 0 0 0 0 1 1 1 1 1 0 0 0]
[0 0 0 0 1 0 0 0 0 0 0 0 1 2 2 1 0 1 0 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 1 2 2 1 1 0 0]
[0 0 0 0 0 0 1 0 0 0 0 0 1 2 0 2 1 2 0 0]
[0 0 0 0 0 0 0 1 0 0 0 0 1 1 2 0 2 2 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 1 2 2 0 1 0 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 1 1 1]
[0 0 0 0 0 0 0 0 0 0 1 0 0 1 2 0 0 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 2 0 1 2]

[20, 13, 5] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 1 1 1 0]
[0 1 0 0 0 0 0 0 0 0 0 0 2 0 0 2 1 2 2 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 2 0 0 2 1 2 2]
[0 0 0 1 0 0 0 0 0 0 0 0 1 2 0 0 2 1 1 1]
[0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 0 1 1 0 2]
[0 0 0 0 0 1 0 0 0 0 0 0 2 1 0 2 0 0 0 1]
[0 0 0 0 0 0 1 0 0 0 0 0 1 1 0 2 1 2 1 0]
[0 0 0 0 0 0 0 1 0 0 0 0 2 2 0 1 1 1 0 2]
[0 0 0 0 0 0 0 0 1 0 0 0 0 2 0 2 1 1 2 1]
[0 0 0 0 0 0 0 0 0 1 0 0 1 2 0 1 2 2 2 1]
[0 0 0 0 0 0 0 0 0 0 1 0 2 2 0 2 0 2 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 2 0 0 1 0 1 1 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 1 0 1]

[20, 14, 4] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 0 1 2]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 1 0 1 0 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 1 1 0 0]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 1 1 0 0]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 1 0 0 1 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 1 0 1 0]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 1 0 1 0]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 1 1 0]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 1 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 0 0 1]

[20, 15, 3] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 1 0 1 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 1 0]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 1 0 0 1]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 1 0 1]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 2 1 1]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 2 1 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 2 1 1 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 2 2]

[20, 16, 3] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 1]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 0 2]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 1]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 2 1]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 1]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 2 1 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 2 2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 1]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 1 2]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 2]

[20, 17, 2] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 2]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 1]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 1 1]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 2 0]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 1 0]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 2 2]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 0 1 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1]

[20, 18, 1] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 0 2]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 0 0 2]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 0 0 2]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 0 0 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 0 1]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 0 0 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 0 0 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 0 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2]

[20, 19, 1] Linear Code over GF(3)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 0]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 0 0]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 0 0]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 0]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1]