M = 26, K = 9, Q = 256

M=26_K=9_Q=256_minh=8_ineq=334.txt is available here.

# minimum Hamming distance = 8
# activation inequality = 334
# active indices
a = [[0, 1, 2, 3, 4, 5, 6, 7, 8], [0, 1, 2, 3, 4, 9, 10, 11, 12], [0, 1, 2, 3, 4, 13, 14, 15, 16], [0, 1, 2, 3, 4, 17, 18, 19, 20], [0, 1, 2, 3, 4, 21, 22, 23, 24], [0, 1, 2, 3, 5, 9, 13, 17, 21], [0, 1, 2, 3, 5, 11, 15, 19, 23], [0, 1, 2, 3, 5, 12, 16, 20, 24], [0, 1, 2, 3, 6, 10, 13, 20, 23], [0, 1, 2, 3, 7, 10, 16, 19, 21], [0, 1, 2, 3, 8, 9, 16, 18, 23], [0, 1, 2, 3, 8, 11, 14, 20, 21], [0, 1, 2, 3, 8, 12, 13, 19, 22], [0, 1, 2, 4, 5, 10, 13, 19, 24], [0, 1, 2, 4, 5, 11, 16, 18, 21], [0, 1, 2, 4, 6, 9, 13, 18, 22], [0, 1, 2, 4, 6, 10, 14, 17, 21], [0, 1, 2, 4, 6, 11, 15, 20, 24], [0, 1, 2, 4, 6, 12, 16, 19, 23], [0, 1, 2, 4, 7, 9, 16, 17, 24], [0, 1, 2, 4, 7, 10, 15, 18, 23], [0, 1, 2, 4, 7, 11, 14, 19, 22], [0, 1, 2, 5, 6, 17, 18, 23, 24], [0, 1, 2, 9, 10, 18, 20, 21, 24], [0, 1, 2, 9, 11, 14, 15, 17, 18], [0, 1, 2, 9, 12, 13, 15, 23, 24], [0, 1, 2, 9, 12, 14, 16, 21, 22], [0, 1, 2, 10, 11, 13, 15, 21, 22], [0, 1, 2, 10, 11, 14, 16, 23, 24], [0, 1, 2, 10, 12, 13, 16, 17, 18], [0, 1, 2, 11, 12, 17, 19, 21, 24], [0, 1, 2, 11, 12, 18, 20, 22, 23], [0, 1, 2, 13, 14, 17, 20, 22, 24], [0, 1, 2, 13, 14, 18, 19, 21, 23], [0, 1, 2, 15, 16, 17, 20, 21, 23], [0, 1, 2, 15, 16, 18, 19, 22, 24], [0, 1, 3, 4, 5, 9, 15, 18, 24], [0, 1, 3, 4, 5, 10, 16, 17, 23], [0, 1, 3, 4, 5, 11, 13, 20, 22], [0, 1, 3, 4, 5, 12, 14, 19, 21], [0, 1, 3, 4, 6, 9, 16, 20, 21], [0, 1, 3, 4, 6, 10, 15, 19, 22], [0, 1, 3, 4, 6, 11, 14, 18, 23], [0, 1, 3, 4, 6, 12, 13, 17, 24], [0, 1, 3, 4, 7, 10, 14, 20, 24], [0, 1, 3, 4, 7, 11, 15, 17, 21], [0, 1, 3, 4, 7, 12, 16, 18, 22], [0, 1, 3, 4, 8, 9, 14, 17, 22], [0, 1, 3, 4, 8, 10, 13, 18, 21], [0, 1, 3, 4, 8, 11, 16, 19, 24], [0, 1, 3, 4, 8, 12, 15, 20, 23], [0, 1, 3, 5, 6, 9, 12, 22, 23], [0, 1, 3, 5, 6, 10, 11, 21, 24], [0, 1, 3, 5, 6, 13, 16, 18, 19], [0, 1, 3, 5, 6, 14, 15, 17, 20], [0, 1, 3, 5, 7, 9, 11, 14, 16], [0, 1, 3, 5, 7, 17, 19, 22, 24], [0, 1, 3, 5, 7, 18, 20, 21, 23], [0, 1, 3, 5, 8, 11, 12, 17, 18], [0, 1, 3, 5, 8, 13, 14, 23, 24], [0, 1, 3, 6, 7, 9, 10, 17, 18], [0, 1, 3, 6, 7, 11, 12, 19, 20], [0, 1, 3, 6, 7, 13, 14, 21, 22], [0, 1, 3, 6, 7, 15, 16, 23, 24], [0, 1, 3, 6, 8, 9, 11, 13, 15], [0, 1, 3, 6, 8, 10, 12, 14, 16], [0, 1, 3, 6, 8, 18, 20, 22, 24], [0, 1, 3, 7, 8, 9, 12, 21, 24], [0, 1, 3, 7, 8, 10, 11, 22, 23], [0, 1, 3, 7, 8, 13, 16, 17, 20], [0, 1, 3, 10, 11, 15, 16, 18, 20], [0, 1, 3, 10, 12, 17, 20, 21, 22], [0, 1, 3, 10, 12, 18, 19, 23, 24], [0, 1, 3, 14, 16, 17, 18, 21, 24], [0, 1, 3, 14, 16, 19, 20, 22, 23], [0, 1, 4, 5, 6, 14, 16, 22, 24], [0, 1, 4, 9, 11, 13, 14, 21, 24], [0, 1, 4, 10, 12, 13, 14, 22, 23], [0, 1, 5, 9, 16, 19, 21, 23, 24], [0, 1, 6, 9, 10, 12, 13, 19, 21], [0, 1, 6, 9, 13, 14, 16, 17, 23], [0, 1, 6, 11, 13, 17, 18, 20, 21], [0, 1, 6, 11, 13, 19, 22, 23, 24], [0, 1, 6, 12, 13, 15, 16, 20, 22], [0, 1, 6, 12, 14, 17, 18, 19, 22], [0, 1, 7, 9, 10, 11, 15, 19, 24], [0, 1, 8, 9, 10, 11, 16, 17, 21], [0, 1, 8, 12, 16, 18, 19, 20, 21], [0, 2, 3, 4, 5, 9, 16, 19, 22], [0, 2, 4, 5, 6, 9, 12, 21, 24], [0, 2, 4, 5, 8, 9, 10, 17, 18], [0, 2, 4, 5, 8, 11, 12, 19, 20], [0, 2, 4, 5, 8, 15, 16, 23, 24], [0, 2, 4, 6, 7, 9, 10, 19, 20], [0, 2, 4, 6, 7, 11, 12, 17, 18], [0, 2, 4, 6, 7, 13, 14, 23, 24], [0, 2, 4, 6, 8, 9, 11, 14, 16], [0, 2, 4, 6, 8, 10, 12, 13, 15], [0, 2, 4, 6, 8, 18, 20, 21, 23], [0, 2, 4, 7, 8, 9, 12, 22, 23], [0, 2, 4, 7, 8, 10, 11, 21, 24], [0, 2, 4, 10, 11, 15, 16, 17, 19], [0, 2, 4, 10, 12, 17, 20, 23, 24], [0, 2, 4, 13, 15, 17, 18, 21, 24], [0, 2, 4, 13, 15, 19, 20, 22, 23], [0, 2, 4, 14, 16, 17, 18, 22, 23], [0, 2, 5, 6, 8, 10, 14, 20, 24], [0, 2, 5, 6, 8, 11, 15, 17, 21], [0, 2, 5, 6, 8, 12, 16, 18, 22], [0, 2, 5, 7, 8, 12, 13, 17, 24], [0, 2, 5, 9, 10, 11, 14, 19, 21], [0, 2, 5, 9, 10, 12, 13, 20, 22], [0, 2, 5, 9, 11, 12, 16, 17, 23], [0, 2, 5, 9, 13, 14, 16, 18, 24], [0, 2, 5, 9, 15, 17, 19, 20, 24], [0, 2, 5, 9, 15, 18, 21, 22, 23], [0, 2, 5, 10, 11, 12, 15, 18, 24], [0, 2, 5, 10, 13, 14, 15, 17, 23], [0, 2, 5, 10, 16, 17, 21, 22, 24], [0, 2, 5, 10, 16, 18, 19, 20, 23], [0, 2, 5, 11, 13, 17, 18, 19, 22], [0, 2, 5, 11, 13, 20, 21, 23, 24], [0, 2, 5, 12, 14, 17, 18, 20, 21], [0, 2, 6, 9, 10, 12, 14, 18, 23], [0, 2, 6, 11, 14, 17, 19, 20, 23], [0, 2, 6, 12, 13, 17, 21, 22, 23], [0, 2, 7, 9, 10, 11, 16, 18, 22], [0, 2, 7, 9, 11, 12, 14, 20, 24], [0, 2, 7, 9, 13, 17, 18, 20, 23], [0, 2, 7, 10, 14, 17, 18, 19, 24], [0, 2, 7, 10, 14, 20, 21, 22, 23], [0, 2, 7, 11, 13, 14, 16, 17, 21], [0, 2, 7, 11, 15, 17, 22, 23, 24], [0, 2, 7, 11, 15, 18, 19, 20, 21], [0, 2, 7, 12, 16, 17, 19, 20, 22], [0, 2, 7, 12, 16, 18, 21, 23, 24], [0, 2, 8, 9, 14, 18, 19, 20, 22], [0, 2, 8, 10, 11, 12, 14, 17, 22], [0, 2, 8, 10, 13, 18, 22, 23, 24], [0, 2, 8, 11, 13, 14, 15, 19, 24], [0, 3, 4, 5, 7, 9, 12, 17, 20], [0, 3, 4, 5, 7, 14, 15, 22, 23], [0, 3, 4, 5, 8, 13, 15, 17, 19], [0, 3, 4, 6, 7, 9, 11, 22, 24], [0, 3, 4, 9, 10, 18, 20, 22, 23], [0, 3, 4, 9, 12, 14, 16, 23, 24], [0, 3, 4, 11, 12, 18, 20, 21, 24], [0, 3, 5, 6, 7, 10, 16, 20, 22], [0, 3, 5, 6, 7, 11, 13, 17, 23], [0, 3, 5, 7, 8, 9, 13, 18, 22], [0, 3, 5, 7, 8, 10, 14, 17, 21], [0, 3, 5, 9, 13, 15, 16, 20, 23], [0, 3, 6, 7, 8, 12, 15, 17, 22], [0, 3, 6, 9, 10, 12, 15, 20, 24], [0, 3, 6, 9, 11, 12, 14, 17, 21], [0, 3, 6, 10, 13, 15, 16, 17, 21], [0, 3, 6, 11, 13, 14, 16, 20, 24], [0, 3, 7, 9, 10, 11, 13, 20, 21], [0, 3, 7, 9, 11, 12, 15, 18, 23], [0, 3, 7, 9, 13, 14, 15, 17, 24], [0, 3, 7, 9, 16, 17, 21, 22, 23], [0, 3, 7, 9, 16, 18, 19, 20, 24], [0, 3, 7, 10, 11, 12, 16, 17, 24], [0, 3, 7, 10, 13, 14, 16, 18, 23], [0, 3, 7, 11, 14, 17, 18, 20, 22], [0, 3, 7, 12, 14, 15, 16, 20, 21], [0, 3, 8, 9, 11, 12, 16, 20, 22], [0, 3, 8, 9, 13, 14, 16, 19, 21], [0, 3, 8, 10, 16, 17, 18, 19, 22], [0, 3, 8, 10, 16, 20, 21, 23, 24], [0, 3, 8, 11, 13, 18, 19, 20, 23], [0, 3, 8, 11, 14, 15, 16, 17, 23], [0, 3, 8, 12, 13, 15, 16, 18, 24], [0, 3, 8, 12, 14, 17, 19, 20, 24], [0, 3, 8, 12, 14, 18, 21, 22, 23], [0, 4, 5, 6, 7, 9, 16, 18, 23], [0, 4, 5, 6, 7, 10, 15, 17, 24], [0, 4, 5, 6, 7, 11, 14, 20, 21], [0, 4, 5, 6, 7, 12, 13, 19, 22], [0, 4, 5, 9, 10, 11, 16, 20, 24], [0, 4, 5, 9, 11, 12, 14, 18, 22], [0, 4, 5, 9, 13, 18, 19, 20, 21], [0, 4, 5, 10, 13, 15, 16, 18, 22], [0, 4, 5, 10, 14, 18, 21, 23, 24], [0, 4, 5, 11, 13, 14, 16, 19, 23], [0, 4, 5, 12, 16, 17, 18, 19, 24], [0, 4, 5, 12, 16, 20, 21, 22, 23], [0, 4, 6, 7, 8, 9, 13, 17, 21], [0, 4, 6, 9, 10, 12, 16, 17, 22], [0, 4, 6, 9, 14, 17, 18, 20, 24], [0, 4, 6, 9, 14, 19, 21, 22, 23], [0, 4, 6, 10, 11, 12, 14, 19, 24], [0, 4, 6, 10, 13, 17, 18, 19, 23], [0, 4, 6, 10, 13, 20, 21, 22, 24], [0, 4, 6, 11, 13, 14, 15, 17, 22], [0, 4, 7, 9, 10, 11, 14, 17, 23], [0, 4, 7, 9, 10, 12, 13, 18, 24], [0, 4, 7, 9, 13, 14, 16, 20, 22], [0, 4, 7, 9, 15, 20, 21, 23, 24], [0, 4, 7, 11, 13, 17, 19, 20, 24], [0, 4, 7, 11, 13, 18, 21, 22, 23], [0, 4, 7, 11, 14, 15, 16, 18, 24], [0, 4, 7, 12, 14, 18, 19, 20, 23], [0, 4, 8, 9, 10, 11, 13, 19, 22], [0, 4, 8, 9, 10, 12, 14, 20, 21], [0, 4, 8, 11, 14, 17, 18, 19, 21], [0, 5, 6, 7, 8, 9, 10, 11, 12], [0, 5, 6, 7, 8, 21, 22, 23, 24], [0, 5, 6, 9, 10, 17, 20, 21, 23], [0, 5, 6, 9, 10, 18, 19, 22, 24], [0, 5, 6, 9, 11, 13, 16, 21, 22], [0, 5, 6, 9, 11, 14, 15, 23, 24], [0, 5, 6, 9, 12, 13, 15, 17, 18], [0, 5, 6, 9, 12, 14, 16, 19, 20], [0, 5, 6, 10, 11, 13, 15, 19, 20], [0, 5, 6, 10, 12, 13, 16, 23, 24], [0, 5, 6, 10, 12, 14, 15, 21, 22], [0, 5, 6, 11, 12, 17, 20, 22, 24], [0, 5, 6, 11, 12, 18, 19, 21, 23], [0, 5, 6, 13, 14, 18, 20, 22, 23], [0, 5, 6, 15, 16, 17, 19, 22, 23], [0, 5, 6, 15, 16, 18, 20, 21, 24], [0, 5, 7, 9, 12, 13, 14, 21, 23], [0, 5, 7, 9, 12, 15, 16, 22, 24], [0, 5, 7, 10, 11, 13, 14, 22, 24], [0, 5, 7, 10, 11, 15, 16, 21, 23], [0, 5, 7, 10, 12, 17, 18, 22, 23], [0, 5, 7, 10, 12, 19, 20, 21, 24], [0, 5, 7, 11, 12, 13, 16, 18, 20], [0, 5, 7, 13, 15, 17, 20, 21, 22], [0, 6, 7, 9, 11, 15, 16, 17, 20], [0, 6, 7, 13, 16, 17, 18, 22, 24], [0, 6, 8, 9, 10, 13, 16, 18, 20], [0, 6, 8, 9, 11, 17, 18, 22, 23], [0, 6, 8, 9, 11, 19, 20, 21, 24], [0, 6, 8, 9, 12, 13, 14, 22, 24], [0, 6, 8, 9, 12, 15, 16, 21, 23], [0, 6, 8, 10, 11, 13, 14, 21, 23], [0, 6, 8, 13, 15, 18, 19, 21, 22], [0, 6, 8, 14, 16, 17, 20, 21, 22], [0, 7, 8, 10, 11, 14, 16, 19, 20], [0, 7, 8, 10, 12, 13, 16, 21, 22], [0, 7, 8, 10, 12, 14, 15, 23, 24], [0, 7, 8, 11, 12, 17, 20, 21, 23], [0, 7, 8, 13, 14, 17, 19, 22, 23], [0, 7, 8, 13, 14, 18, 20, 21, 24], [0, 7, 8, 15, 16, 17, 19, 21, 24], [0, 9, 10, 13, 14, 17, 18, 21, 22], [0, 9, 12, 14, 15, 18, 19, 21, 24], [0, 10, 11, 13, 16, 17, 20, 22, 23], [0, 10, 11, 14, 15, 18, 19, 22, 23], [0, 10, 12, 13, 15, 17, 19, 22, 24], [0, 10, 12, 13, 15, 18, 20, 21, 23], [0, 10, 12, 14, 16, 17, 19, 21, 23], [0, 10, 12, 14, 16, 18, 20, 22, 24], [0, 11, 12, 13, 14, 19, 20, 21, 22]]
# activation tensor and its vector representation are omitted.