M = 12, K = 5, Q = 512

M=12_K=5_Q=512_minh=2_ineq=5.txt is available here.

# minimum Hamming distance = 2
# activation inequality = 5
# active indices
a = [[0, 1, 2, 3, 4], [0, 1, 2, 3, 5], [0, 1, 2, 3, 6], [0, 1, 2, 3, 7], [0, 1, 2, 3, 8], [0, 1, 2, 3, 9], [0, 1, 2, 3, 10], [0, 1, 2, 3, 11], [0, 1, 2, 4, 5], [0, 1, 2, 4, 6], [0, 1, 2, 4, 7], [0, 1, 2, 4, 8], [0, 1, 2, 4, 9], [0, 1, 2, 4, 10], [0, 1, 2, 4, 11], [0, 1, 2, 5, 6], [0, 1, 2, 5, 7], [0, 1, 2, 5, 8], [0, 1, 2, 5, 9], [0, 1, 2, 5, 10], [0, 1, 2, 5, 11], [0, 1, 2, 6, 7], [0, 1, 2, 6, 8], [0, 1, 2, 6, 9], [0, 1, 2, 6, 10], [0, 1, 2, 6, 11], [0, 1, 2, 7, 8], [0, 1, 2, 7, 9], [0, 1, 2, 7, 10], [0, 1, 2, 7, 11], [0, 1, 2, 8, 9], [0, 1, 2, 8, 10], [0, 1, 2, 8, 11], [0, 1, 2, 9, 10], [0, 1, 2, 9, 11], [0, 1, 2, 10, 11], [0, 1, 3, 4, 5], [0, 1, 3, 4, 6], [0, 1, 3, 4, 8], [0, 1, 3, 4, 9], [0, 1, 3, 4, 10], [0, 1, 3, 4, 11], [0, 1, 3, 5, 6], [0, 1, 3, 5, 7], [0, 1, 3, 5, 8], [0, 1, 3, 5, 9], [0, 1, 3, 5, 10], [0, 1, 3, 5, 11], [0, 1, 3, 6, 7], [0, 1, 3, 6, 8], [0, 1, 3, 6, 9], [0, 1, 3, 6, 10], [0, 1, 3, 6, 11], [0, 1, 3, 7, 8], [0, 1, 3, 7, 9], [0, 1, 3, 7, 10], [0, 1, 3, 7, 11], [0, 1, 3, 8, 9], [0, 1, 3, 8, 10], [0, 1, 3, 8, 11], [0, 1, 3, 9, 10], [0, 1, 3, 9, 11], [0, 1, 3, 10, 11], [0, 1, 4, 5, 6], [0, 1, 4, 5, 7], [0, 1, 4, 5, 8], [0, 1, 4, 5, 9], [0, 1, 4, 5, 10], [0, 1, 4, 5, 11], [0, 1, 4, 6, 7], [0, 1, 4, 6, 8], [0, 1, 4, 6, 9], [0, 1, 4, 6, 10], [0, 1, 4, 6, 11], [0, 1, 4, 7, 8], [0, 1, 4, 7, 9], [0, 1, 4, 7, 10], [0, 1, 4, 7, 11], [0, 1, 4, 8, 9], [0, 1, 4, 8, 10], [0, 1, 4, 8, 11], [0, 1, 4, 9, 10], [0, 1, 4, 9, 11], [0, 1, 4, 10, 11], [0, 1, 5, 6, 7], [0, 1, 5, 6, 8], [0, 1, 5, 6, 9], [0, 1, 5, 6, 10], [0, 1, 5, 6, 11], [0, 1, 5, 7, 8], [0, 1, 5, 7, 9], [0, 1, 5, 7, 10], [0, 1, 5, 7, 11], [0, 1, 5, 8, 9], [0, 1, 5, 8, 10], [0, 1, 5, 8, 11], [0, 1, 5, 9, 10], [0, 1, 5, 9, 11], [0, 1, 5, 10, 11], [0, 1, 6, 7, 8], [0, 1, 6, 7, 11], [0, 1, 6, 8, 9], [0, 1, 6, 8, 10], [0, 1, 7, 9, 10], [0, 1, 7, 9, 11], [0, 1, 7, 10, 11], [0, 1, 8, 9, 10], [0, 1, 8, 9, 11], [0, 1, 8, 10, 11], [0, 1, 9, 10, 11], [0, 2, 3, 4, 5], [0, 2, 3, 4, 6], [0, 2, 3, 4, 7], [0, 2, 3, 4, 8], [0, 2, 3, 4, 9], [0, 2, 3, 4, 10], [0, 2, 3, 4, 11], [0, 2, 3, 5, 6], [0, 2, 3, 5, 7], [0, 2, 3, 5, 8], [0, 2, 3, 5, 9], [0, 2, 3, 5, 10], [0, 2, 3, 5, 11], [0, 2, 3, 6, 7], [0, 2, 3, 6, 8], [0, 2, 3, 6, 9], [0, 2, 3, 6, 10], [0, 2, 3, 6, 11], [0, 2, 3, 7, 8], [0, 2, 3, 7, 9], [0, 2, 3, 7, 10], [0, 2, 3, 7, 11], [0, 2, 3, 8, 9], [0, 2, 3, 8, 10], [0, 2, 3, 8, 11], [0, 2, 3, 9, 10], [0, 2, 3, 9, 11], [0, 2, 3, 10, 11], [0, 2, 4, 5, 6], [0, 2, 4, 5, 7], [0, 2, 4, 5, 8], [0, 2, 4, 5, 9], [0, 2, 4, 5, 10], [0, 2, 4, 5, 11], [0, 2, 4, 6, 7], [0, 2, 4, 6, 8], [0, 2, 4, 6, 9], [0, 2, 4, 6, 10], [0, 2, 4, 6, 11], [0, 2, 4, 7, 8], [0, 2, 4, 7, 9], [0, 2, 4, 7, 10], [0, 2, 4, 7, 11], [0, 2, 4, 8, 9], [0, 2, 4, 8, 10], [0, 2, 4, 8, 11], [0, 3, 4, 5, 7], [0, 3, 6, 10, 11], [0, 3, 7, 8, 9], [0, 3, 7, 8, 10], [0, 3, 7, 8, 11], [0, 3, 7, 9, 11], [0, 3, 8, 9, 11], [0, 3, 9, 10, 11], [0, 4, 5, 6, 7], [0, 4, 5, 6, 8], [0, 4, 5, 6, 9], [0, 4, 5, 6, 10], [0, 4, 5, 6, 11], [0, 4, 5, 7, 8], [0, 4, 5, 7, 9], [0, 4, 5, 7, 11], [0, 4, 5, 8, 9], [0, 4, 5, 8, 11], [0, 4, 5, 9, 11], [0, 4, 6, 7, 8], [0, 4, 6, 7, 9], [0, 4, 6, 7, 11], [0, 4, 6, 8, 9], [0, 4, 6, 8, 11], [0, 4, 6, 9, 11], [0, 4, 7, 8, 9], [0, 4, 7, 8, 11], [0, 4, 7, 9, 11], [0, 5, 6, 7, 10], [0, 5, 6, 7, 11], [0, 5, 6, 9, 10], [0, 5, 6, 9, 11], [0, 5, 6, 10, 11], [0, 5, 7, 8, 9], [0, 5, 7, 8, 10], [0, 5, 7, 8, 11], [0, 5, 7, 9, 10], [0, 5, 7, 9, 11], [0, 5, 7, 10, 11], [0, 5, 8, 9, 10], [0, 5, 8, 9, 11], [0, 5, 8, 10, 11], [0, 5, 9, 10, 11], [0, 6, 7, 8, 9], [0, 6, 7, 8, 10], [0, 6, 7, 8, 11], [0, 6, 7, 9, 10], [0, 6, 7, 9, 11], [0, 6, 7, 10, 11], [0, 6, 8, 9, 10], [0, 6, 8, 9, 11], [0, 6, 8, 10, 11], [0, 6, 9, 10, 11], [0, 7, 8, 9, 10], [0, 7, 8, 9, 11], [0, 7, 8, 10, 11], [0, 7, 9, 10, 11], [0, 8, 9, 10, 11], [1, 2, 3, 4, 8], [1, 2, 3, 4, 10], [1, 2, 3, 4, 11], [1, 2, 3, 5, 6], [1, 2, 3, 5, 7], [1, 2, 3, 5, 8], [1, 2, 3, 5, 9], [1, 2, 3, 5, 10], [1, 2, 3, 5, 11], [1, 2, 5, 6, 7], [1, 2, 5, 7, 11], [1, 2, 5, 8, 10], [1, 2, 5, 10, 11], [1, 2, 6, 7, 10], [1, 2, 6, 8, 10], [1, 2, 6, 8, 11], [1, 2, 7, 8, 9], [1, 2, 7, 8, 10], [1, 2, 7, 8, 11], [1, 2, 7, 9, 11], [1, 2, 8, 9, 11], [1, 3, 4, 6, 7], [1, 3, 4, 6, 8], [1, 3, 4, 6, 9], [1, 3, 4, 6, 10], [1, 3, 4, 6, 11], [1, 3, 4, 7, 9], [1, 3, 4, 7, 10], [1, 3, 4, 7, 11], [1, 3, 4, 8, 10], [1, 3, 5, 6, 7], [1, 3, 5, 6, 8], [1, 3, 5, 6, 9], [1, 3, 5, 6, 10], [1, 3, 5, 6, 11], [1, 3, 5, 7, 8], [1, 3, 5, 7, 9], [1, 3, 5, 7, 10], [1, 3, 5, 7, 11], [1, 3, 5, 8, 11], [1, 3, 5, 9, 10], [1, 3, 5, 9, 11], [1, 3, 5, 10, 11], [1, 3, 6, 7, 8], [1, 3, 6, 7, 9], [1, 3, 6, 7, 10], [1, 3, 6, 8, 9], [1, 3, 6, 8, 10], [1, 3, 6, 9, 10], [1, 3, 6, 9, 11], [1, 3, 6, 10, 11], [1, 3, 7, 8, 9], [1, 3, 7, 8, 10], [1, 3, 7, 9, 10], [1, 3, 7, 9, 11], [1, 3, 7, 10, 11], [1, 3, 8, 9, 10], [1, 3, 8, 9, 11], [1, 3, 8, 10, 11], [1, 3, 9, 10, 11], [1, 4, 5, 8, 9], [1, 4, 5, 9, 10], [1, 4, 5, 10, 11], [1, 4, 6, 7, 10], [1, 4, 6, 7, 11], [1, 4, 6, 8, 9], [1, 4, 6, 8, 10], [1, 4, 6, 9, 10], [1, 4, 6, 9, 11], [1, 4, 6, 10, 11], [1, 4, 7, 8, 9], [1, 4, 7, 8, 10], [1, 4, 8, 9, 10], [1, 4, 9, 10, 11], [1, 5, 6, 7, 8], [1, 5, 6, 7, 9], [1, 5, 6, 7, 10], [1, 5, 6, 7, 11], [1, 5, 6, 8, 9], [1, 5, 6, 8, 10], [1, 5, 6, 8, 11], [1, 5, 6, 9, 10], [1, 5, 6, 9, 11], [1, 5, 6, 10, 11], [1, 5, 7, 8, 9], [1, 5, 7, 8, 10], [1, 5, 7, 8, 11], [1, 5, 7, 9, 10], [1, 5, 7, 9, 11], [1, 5, 7, 10, 11], [1, 5, 8, 9, 10], [1, 5, 8, 9, 11], [1, 5, 8, 10, 11], [1, 5, 9, 10, 11], [1, 6, 7, 8, 10], [1, 6, 7, 8, 11], [1, 6, 7, 9, 10], [1, 6, 7, 9, 11], [1, 6, 8, 9, 10], [1, 6, 8, 9, 11], [1, 6, 8, 10, 11], [1, 6, 9, 10, 11], [1, 7, 8, 10, 11], [2, 3, 4, 5, 6], [2, 3, 4, 5, 7], [2, 3, 4, 5, 8], [2, 3, 4, 5, 9], [2, 3, 4, 5, 10], [2, 3, 4, 5, 11], [2, 3, 4, 6, 7], [2, 3, 4, 6, 8], [2, 3, 4, 6, 9], [2, 3, 4, 6, 10], [2, 3, 4, 6, 11], [2, 3, 4, 7, 8], [2, 3, 4, 7, 10], [2, 3, 4, 7, 11], [2, 3, 4, 8, 9], [2, 3, 4, 8, 10], [2, 3, 4, 8, 11], [2, 3, 4, 9, 10], [2, 3, 4, 9, 11], [2, 3, 4, 10, 11], [2, 3, 5, 6, 7], [2, 3, 5, 6, 8], [2, 3, 5, 6, 9], [2, 3, 5, 6, 10], [2, 3, 5, 6, 11], [2, 3, 5, 7, 8], [2, 3, 5, 7, 10], [2, 3, 5, 7, 11], [2, 3, 5, 8, 10], [2, 3, 5, 8, 11], [2, 3, 5, 9, 10], [2, 3, 5, 9, 11], [2, 3, 5, 10, 11], [2, 3, 6, 7, 8], [2, 3, 6, 7, 9], [2, 3, 6, 7, 10], [2, 3, 6, 7, 11], [2, 3, 6, 8, 9], [2, 3, 6, 8, 10], [2, 3, 6, 8, 11], [2, 3, 6, 9, 10], [2, 3, 6, 9, 11], [2, 3, 6, 10, 11], [2, 3, 7, 8, 9], [2, 3, 7, 8, 10], [2, 3, 7, 8, 11], [2, 3, 7, 9, 10], [2, 3, 7, 9, 11], [2, 3, 7, 10, 11], [2, 3, 8, 9, 10], [2, 3, 8, 9, 11], [2, 3, 8, 10, 11], [2, 3, 9, 10, 11], [2, 4, 5, 6, 7], [2, 4, 5, 6, 8], [2, 4, 5, 6, 9], [2, 4, 5, 6, 10], [2, 4, 5, 6, 11], [2, 4, 5, 7, 10], [2, 4, 5, 7, 11], [2, 4, 5, 8, 9], [2, 4, 5, 8, 10], [2, 4, 5, 8, 11], [2, 4, 5, 9, 10], [2, 4, 5, 9, 11], [2, 4, 6, 7, 8], [2, 4, 6, 7, 9], [2, 4, 6, 8, 9], [2, 4, 6, 9, 10], [2, 4, 6, 9, 11], [2, 4, 6, 10, 11], [2, 4, 7, 9, 10], [2, 4, 7, 10, 11], [2, 4, 8, 9, 10], [2, 4, 8, 9, 11], [2, 4, 9, 10, 11], [2, 5, 6, 7, 8], [2, 5, 6, 7, 9], [2, 5, 6, 7, 10], [2, 5, 6, 7, 11], [2, 5, 6, 8, 9], [2, 5, 6, 8, 10], [2, 5, 6, 8, 11], [2, 5, 6, 9, 10], [2, 5, 6, 9, 11], [2, 5, 6, 10, 11], [2, 5, 7, 8, 10], [2, 5, 7, 8, 11], [2, 5, 7, 9, 10], [2, 5, 7, 9, 11], [2, 5, 7, 10, 11], [2, 5, 8, 9, 10], [2, 5, 8, 9, 11], [2, 5, 8, 10, 11], [2, 5, 9, 10, 11], [2, 6, 7, 8, 9], [2, 6, 7, 8, 10], [2, 6, 7, 8, 11], [2, 6, 7, 9, 10], [2, 6, 7, 9, 11], [2, 6, 7, 10, 11], [2, 6, 8, 9, 10], [2, 6, 8, 9, 11], [2, 6, 8, 10, 11], [2, 6, 9, 10, 11], [2, 7, 8, 9, 10], [2, 7, 8, 9, 11], [2, 7, 8, 10, 11], [2, 7, 9, 10, 11], [2, 8, 9, 10, 11], [3, 4, 5, 6, 7], [3, 4, 5, 6, 8], [3, 4, 5, 6, 9], [3, 4, 5, 6, 10], [3, 4, 5, 7, 8], [3, 4, 5, 7, 9], [3, 4, 5, 7, 10], [3, 4, 5, 7, 11], [3, 4, 5, 8, 9], [3, 4, 5, 8, 10], [3, 4, 5, 8, 11], [3, 4, 5, 9, 10], [3, 4, 5, 9, 11], [3, 4, 5, 10, 11], [3, 4, 6, 7, 8], [3, 4, 6, 7, 9], [3, 4, 6, 7, 10], [3, 4, 6, 7, 11], [3, 4, 6, 8, 9], [3, 4, 6, 8, 10], [3, 4, 6, 8, 11], [3, 4, 6, 9, 10], [3, 4, 6, 9, 11], [3, 4, 6, 10, 11], [3, 4, 7, 8, 9], [3, 4, 7, 8, 10], [3, 4, 7, 8, 11], [3, 4, 7, 9, 10], [3, 4, 7, 9, 11], [3, 4, 7, 10, 11], [3, 4, 8, 9, 10], [3, 4, 8, 9, 11], [3, 4, 8, 10, 11], [3, 5, 6, 7, 8], [3, 5, 6, 7, 9], [3, 5, 6, 7, 10], [3, 6, 7, 8, 10], [3, 7, 8, 9, 10], [3, 7, 8, 9, 11], [3, 7, 8, 10, 11], [3, 7, 9, 10, 11], [3, 8, 9, 10, 11], [4, 5, 6, 7, 8], [4, 5, 6, 7, 9], [4, 5, 6, 7, 10], [4, 5, 6, 7, 11], [4, 5, 6, 8, 9], [4, 5, 6, 8, 10], [4, 5, 6, 8, 11], [4, 5, 6, 9, 10], [4, 5, 6, 9, 11], [4, 5, 7, 8, 11], [4, 5, 7, 9, 10], [4, 5, 7, 9, 11], [4, 5, 7, 10, 11], [4, 5, 8, 9, 10], [4, 5, 8, 9, 11], [4, 5, 8, 10, 11], [4, 5, 9, 10, 11], [4, 6, 7, 8, 9], [4, 6, 7, 8, 10], [4, 6, 7, 8, 11], [4, 6, 7, 9, 10], [4, 6, 7, 9, 11], [4, 6, 7, 10, 11], [4, 6, 8, 9, 10], [4, 6, 8, 9, 11], [4, 6, 8, 10, 11], [4, 6, 9, 10, 11], [4, 7, 8, 9, 10], [4, 7, 8, 9, 11], [4, 7, 8, 10, 11], [4, 7, 9, 10, 11], [5, 6, 8, 9, 10], [5, 6, 8, 9, 11], [5, 6, 8, 10, 11], [5, 7, 8, 9, 10], [5, 7, 8, 9, 11], [5, 7, 8, 10, 11], [5, 7, 9, 10, 11], [5, 8, 9, 10, 11], [6, 7, 8, 9, 10], [6, 7, 9, 10, 11], [6, 8, 9, 10, 11], [7, 8, 9, 10, 11]]
# activation tensor and its vector representation are omitted.