AHU-coding

Database for the paper “Shitao Li, Minjia Shi, Tor Helleseth, San Ling, Nonexistence of several infinite families of binary self-orthogonal codes, IEEE Transactions on Information Theory, 2025.”

[50, 8, 22] Linear Code over GF(2)
Generator matrix:
[1 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 1 0 0 1 1 0 1 1 1 1 0 1 0 1 1 0 0 1 1 1 0 0 0 1 0 1 1 0 0 0 0 1 1 1]
[0 1 0 0 0 0 1 0 0 0 0 1 1 1 1 1 0 0 1 1 0 1 0 1 0 0 0 0 0 1 1 0 0 1 1 0 0 0 1 1 1 0 0 0 1 1 0 1 1 0]
[0 0 1 0 0 0 1 0 1 0 0 1 0 1 0 0 0 0 1 0 0 0 0 0 1 1 1 0 0 1 1 1 1 0 1 1 0 0 1 1 1 1 0 1 0 0 1 0 0 1]
[0 0 0 1 0 0 0 0 1 1 0 0 1 1 1 1 0 1 1 1 0 0 1 0 0 0 1 1 1 0 0 0 0 1 0 1 1 1 1 0 0 0 1 1 1 1 1 0 0 0]
[0 0 0 0 1 0 1 0 0 0 0 1 0 0 1 0 0 0 1 1 1 1 1 1 0 0 0 0 1 1 0 1 0 1 1 1 1 1 0 0 0 1 1 0 1 0 1 1 0 1]
[0 0 0 0 0 1 0 0 0 1 0 1 0 0 0 1 1 0 1 1 1 0 0 0 1 0 1 0 1 0 1 0 1 1 1 1 0 1 0 1 1 1 0 0 1 1 1 0 1 0]
[0 0 0 0 0 0 0 1 1 0 0 0 0 0 1 1 0 1 1 1 1 0 0 0 0 1 0 1 0 1 1 1 1 0 1 1 0 1 1 0 1 0 1 0 0 1 0 1 1 1]
[0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0]

[59, 8, 26] Linear Code over GF(2)
Generator matrix:
[1 0 0 0 0 0 0 1 1 0 1 0 0 1 1 0 1 1 0 1 0 0 1 0 1 1 1 0 0 1 0 1 0 1 0 1 0 0 1 0 0 0 1 0 1 0 1 1 0 0 0 1 0 0 0 1 0 1 1]
[0 1 0 0 0 0 0 0 1 1 0 1 0 0 1 1 1 0 0 0 0 1 1 1 0 0 1 0 1 1 1 1 1 0 1 1 0 1 0 1 1 1 0 0 1 0 1 1 1 0 0 0 1 1 0 1 1 1 1]
[0 0 1 0 0 0 0 1 0 0 0 0 0 1 1 0 1 0 1 0 1 0 0 1 1 1 1 1 0 0 1 0 1 1 1 1 1 0 0 0 1 1 1 0 1 1 1 1 0 1 1 1 1 1 1 0 1 0 0]
[0 0 0 1 0 0 0 0 0 0 0 1 0 1 1 0 0 0 1 0 0 0 0 1 1 1 0 1 1 0 1 1 0 0 1 0 1 1 0 1 0 1 0 1 1 0 0 0 1 1 1 0 1 1 0 0 0 1 1]
[0 0 0 0 1 0 0 0 0 0 0 1 0 0 0 1 1 0 0 0 0 0 1 0 1 0 0 1 1 1 1 0 0 1 1 1 1 1 1 0 0 0 0 0 1 1 1 0 0 1 0 1 1 0 1 1 1 1 0]
[0 0 0 0 0 1 0 0 0 1 1 1 0 1 0 0 0 1 1 0 0 0 0 0 1 0 1 1 1 1 0 1 1 0 1 1 0 0 1 1 1 0 1 0 0 1 1 0 0 1 0 1 0 1 0 1 1 0 1]
[0 0 0 0 0 0 1 1 1 1 1 1 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 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 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0]

[124, 8, 60] Linear Code over GF(2)
Generator matrix:
[1 0 0 1 0 1 0 0 0 0 1 1 0 0 1 1 1 0 0 1 0 0 1 0 1 0 0 0 1 0 0 0 1 1 0 1 1 0 1 1 1 1 0 1 1 0 0 1 0 1 0 1 0 1 1 0 0 0 1 0 1 0 0 1 0 1 1 1 0 1 1 0 0 0 1 1 1 1 1 0 0 1 0 1 0 1 0 0 1 0 0 0 0 1 0 1 0 1 1 1 0 1 1 1 0 1 0 1 1 0 1 0 1 1 0 1 0 0 0 1 0 0 0 0]
[0 1 0 1 0 0 0 1 0 1 0 1 0 1 1 0 1 0 0 1 0 1 1 1 0 0 0 0 1 1 0 1 1 0 0 1 1 1 1 1 0 0 1 0 1 0 1 0 1 0 0 1 1 1 0 0 1 0 0 0 1 1 1 1 0 1 1 0 0 0 0 1 1 0 1 1 0 1 0 1 1 1 1 0 1 0 0 0 1 1 0 0 1 1 0 1 1 0 0 1 0 0 0 1 1 0 0 1 1 1 1 1 1 1 1 0 0 1 1 1 0 1 1 1]
[0 0 1 1 0 0 1 1 0 1 1 0 0 0 0 0 0 0 1 1 0 0 0 1 1 1 1 1 1 1 1 0 0 0 0 0 1 0 0 1 0 1 0 1 1 0 1 1 0 0 1 1 0 0 1 0 1 0 0 1 0 1 0 1 0 1 0 1 0 0 1 1 0 0 0 1 1 1 0 0 0 1 0 0 0 1 0 1 0 1 0 0 1 0 1 1 1 1 0 0 0 0 0 0 1 1 1 1 1 1 0 1 1 1 1 1 0 1 0 0 1 1 0 0]
[0 0 0 0 1 1 1 1 0 1 1 1 0 0 0 1 0 0 0 1 0 0 0 0 0 1 0 1 1 1 0 1 1 1 0 0 0 0 0 1 1 0 0 1 1 1 0 0 1 1 0 0 1 0 0 1 1 0 0 0 1 1 0 1 1 1 1 0 0 1 1 0 1 1 0 0 1 0 0 0 1 1 0 0 1 0 0 1 1 0 0 1 1 0 0 0 1 1 1 0 1 0 1 0 0 0 1 1 0 0 1 0 1 0 1 1 1 0 1 1 1 1 0 0]
[0 0 0 0 0 0 0 0 1 1 1 1 0 0 0 0 1 1 1 1 0 0 1 1 1 1 0 0 0 0 1 1 1 1 0 0 0 1 1 1 1 0 0 0 0 0 1 1 1 1 0 0 0 1 1 1 1 0 0 0 0 0 1 1 1 0 0 0 0 1 1 1 0 0 0 0 1 1 1 1 0 0 0 0 1 1 1 0 0 0 0 1 1 1 1 1 0 0 0 0 1 1 0 0 0 0 1 1 1 1 0 0 1 1 0 0 0 0 1 1 1 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 0 0 0 0 0 0 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 1 1 1 1 1 1 1 1 0 0 0 0 1 1 1 1 1 1 1 1 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1]

[140, 8, 66] Linear Code over GF(2)
Generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 1 1 0 0 1 0 1 1 0 0 1 1 0 0 1 1 0 1 1 1 1 1 0 0 0 0 0 0 1 1 0 0 0 0 1 1 1 1 1 1 1 1 0 0 1 1 0 0 0 1 1 0 0 1 1 1 1 0 1 0 1 0 0 0 0 1 1 0 1 1 0 1 0 0 1 0 0 0 0 0 0 0 0 0 1 1 0 1 1 0 0 1 1 0 0 0 0 1 1 1 1 0 0 0 0 1 0 0 1 0 1 1 1 1 1 1 1 1 0 1 1 0]
[0 1 0 0 0 0 0 0 1 0 1 1 0 1 0 0 0 1 1 1 1 0 0 0 0 1 1 1 0 1 0 0 1 0 1 0 0 0 0 0 1 0 0 0 0 0 1 1 1 1 0 0 0 0 0 0 1 0 1 0 1 0 1 0 1 1 0 0 1 1 0 1 0 0 1 0 0 1 1 0 1 1 0 0 1 0 1 0 1 0 1 0 1 0 1 1 0 1 1 1 1 0 1 0 1 0 0 0 1 1 0 0 0 0 0 1 1 1 1 1 1 0 0 0 1 0 1 0 1 0 1 0 1 1 1 1 1 1 0 1]
[0 0 1 0 0 0 0 0 1 0 1 0 1 1 0 0 1 0 1 1 0 1 0 1 0 1 0 0 0 1 1 1 1 0 0 1 1 1 1 0 0 1 0 0 0 0 0 0 1 1 0 0 1 1 1 1 0 1 0 1 0 1 1 0 1 0 1 0 1 1 0 0 1 1 0 1 0 0 1 0 1 0 1 0 1 1 1 0 0 0 0 1 1 0 1 1 0 1 1 1 1 1 1 0 0 1 1 1 0 1 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 1 1 0 0 1 0 1 0 0 0 0 1 0 1 1]
[0 0 0 1 0 0 0 0 1 1 0 0 1 1 1 0 0 1 0 1 0 1 0 1 1 0 1 0 0 0 0 1 1 1 1 0 1 1 1 0 0 0 1 0 0 0 0 0 0 0 0 1 0 1 1 1 1 1 1 0 1 1 1 0 1 0 0 0 1 0 0 0 0 1 0 0 0 1 0 0 1 1 1 0 0 1 0 1 0 0 1 0 1 0 1 0 0 0 1 1 0 1 0 1 1 0 1 0 0 1 1 1 0 1 1 1 0 0 1 0 1 1 1 1 1 0 1 1 1 0 0 0 1 1 0 1 0 0 0 0]
[0 0 0 0 1 0 0 0 1 1 0 0 1 1 1 1 0 1 1 1 1 1 1 0 1 0 0 1 0 1 0 1 0 1 0 1 0 1 1 0 0 0 0 1 0 0 1 1 1 0 0 0 1 0 1 1 0 1 1 1 0 0 0 1 0 1 1 0 1 1 0 0 0 0 1 0 1 1 1 1 1 1 0 1 0 1 0 0 1 0 1 1 0 0 1 1 1 0 0 1 1 1 0 1 1 1 0 1 0 1 0 1 1 0 1 1 1 0 0 0 0 0 1 0 0 1 0 1 1 1 1 0 0 1 0 0 1 1 0 1]
[0 0 0 0 0 1 0 0 1 1 0 0 1 1 1 1 1 0 1 0 0 1 1 0 0 1 0 1 0 0 1 1 0 0 1 1 1 0 1 0 0 0 0 0 1 0 0 0 1 1 0 1 1 1 0 1 0 1 0 0 1 1 1 0 1 1 1 1 0 1 1 1 0 1 1 1 1 0 1 1 0 1 1 1 1 0 0 1 1 1 1 0 0 1 1 0 1 1 0 0 1 1 0 1 1 0 1 1 1 1 1 1 1 1 0 0 1 1 0 0 1 0 0 1 1 0 1 1 1 1 0 1 0 1 1 1 0 1 1 0]
[0 0 0 0 0 0 1 0 1 1 0 0 1 1 1 0 1 0 0 1 0 0 1 1 0 1 1 1 1 0 0 0 0 1 1 1 1 1 0 0 0 0 0 0 0 1 1 1 1 0 1 1 1 1 1 0 0 0 1 0 0 0 0 1 0 0 0 1 0 0 1 0 1 1 1 1 0 0 0 0 0 0 1 1 0 1 1 1 1 0 0 0 0 0 0 0 1 1 1 0 0 1 0 1 1 1 0 1 0 0 1 0 1 1 1 0 0 1 1 1 1 0 1 0 0 1 0 1 0 1 0 0 0 0 0 1 1 0 1 1]
[0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 1 1 1 1 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 1 1 1 1 1 1 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 1 1 1 1 0 0 0 0]