M = 22, K = 4, Q = 256

M=22_K=4_Q=256_minh=4_ineq=54.txt is available here.

# minimum Hamming distance = 4
# activation inequality = 54
# active indices
a = [[0, 1, 2, 3], [0, 1, 4, 5], [0, 1, 6, 7], [0, 1, 10, 11], [0, 1, 12, 13], [0, 1, 14, 15], [0, 1, 16, 17], [0, 1, 18, 19], [0, 1, 20, 21], [0, 2, 4, 6], [0, 2, 5, 7], [0, 2, 8, 10], [0, 2, 9, 11], [0, 2, 12, 14], [0, 2, 13, 15], [0, 2, 16, 18], [0, 2, 17, 19], [0, 3, 4, 7], [0, 3, 5, 6], [0, 3, 8, 11], [0, 3, 9, 10], [0, 3, 12, 15], [0, 3, 13, 14], [0, 3, 16, 19], [0, 3, 17, 18], [0, 4, 8, 12], [0, 4, 9, 13], [0, 4, 10, 14], [0, 4, 11, 15], [0, 4, 16, 20], [0, 4, 17, 21], [0, 5, 8, 13], [0, 5, 9, 12], [0, 5, 11, 14], [0, 5, 16, 21], [0, 5, 17, 20], [0, 6, 8, 14], [0, 6, 9, 15], [0, 6, 10, 12], [0, 6, 11, 13], [0, 6, 18, 20], [0, 6, 19, 21], [0, 7, 8, 15], [0, 7, 9, 14], [0, 7, 10, 13], [0, 7, 11, 12], [0, 7, 18, 21], [0, 7, 19, 20], [1, 2, 4, 7], [1, 2, 5, 6], [1, 2, 8, 11], [1, 2, 9, 10], [1, 2, 12, 15], [1, 2, 13, 14], [1, 2, 16, 19], [1, 2, 17, 18], [1, 3, 4, 6], [1, 3, 5, 7], [1, 3, 8, 10], [1, 3, 9, 11], [1, 3, 12, 14], [1, 3, 13, 15], [1, 3, 16, 18], [1, 3, 17, 19], [1, 4, 8, 13], [1, 4, 9, 12], [1, 4, 11, 14], [1, 4, 16, 21], [1, 4, 17, 20], [1, 5, 9, 13], [1, 5, 10, 14], [1, 5, 11, 15], [1, 5, 16, 20], [1, 5, 17, 21], [1, 6, 8, 15], [1, 6, 9, 14], [1, 6, 10, 13], [1, 6, 11, 12], [1, 6, 18, 21], [1, 6, 19, 20], [1, 7, 8, 14], [1, 7, 9, 15], [1, 7, 10, 12], [1, 7, 11, 13], [1, 7, 18, 20], [1, 7, 19, 21], [2, 3, 4, 5], [2, 3, 6, 7], [2, 3, 8, 9], [2, 3, 10, 11], [2, 3, 12, 13], [2, 3, 14, 15], [2, 3, 16, 17], [2, 3, 18, 19], [2, 3, 20, 21], [2, 4, 8, 14], [2, 4, 9, 15], [2, 4, 10, 12], [2, 4, 11, 13], [2, 4, 18, 20], [2, 4, 19, 21], [2, 5, 8, 15], [2, 5, 9, 14], [2, 5, 10, 13], [2, 5, 11, 12], [2, 5, 18, 21], [2, 5, 19, 20], [2, 6, 8, 12], [2, 6, 9, 13], [2, 6, 10, 14], [2, 6, 11, 15], [2, 6, 16, 20], [2, 6, 17, 21], [2, 7, 8, 13], [2, 7, 9, 12], [2, 7, 10, 15], [2, 7, 11, 14], [2, 7, 16, 21], [2, 7, 17, 20], [3, 4, 8, 15], [3, 4, 10, 13], [3, 4, 11, 12], [3, 4, 18, 21], [3, 4, 19, 20], [3, 5, 8, 14], [3, 5, 9, 15], [3, 5, 10, 12], [3, 5, 11, 13], [3, 5, 18, 20], [3, 5, 19, 21], [3, 6, 8, 13], [3, 6, 9, 12], [3, 6, 10, 15], [3, 6, 11, 14], [3, 6, 16, 21], [3, 6, 17, 20], [3, 7, 8, 12], [3, 7, 9, 13], [3, 7, 10, 14], [3, 7, 11, 15], [3, 7, 16, 20], [3, 7, 17, 21], [4, 5, 6, 7], [4, 5, 8, 9], [4, 5, 12, 13], [4, 5, 14, 15], [4, 5, 16, 17], [4, 5, 18, 19], [4, 5, 20, 21], [4, 6, 8, 10], [4, 6, 9, 11], [4, 6, 12, 14], [4, 6, 13, 15], [4, 6, 16, 18], [4, 6, 17, 19], [4, 7, 8, 11], [4, 7, 9, 10], [4, 7, 12, 15], [4, 7, 13, 14], [4, 7, 16, 19], [4, 7, 17, 18], [5, 6, 8, 11], [5, 6, 9, 10], [5, 6, 12, 15], [5, 6, 13, 14], [5, 6, 16, 19], [5, 6, 17, 18], [5, 7, 8, 10], [5, 7, 9, 11], [5, 7, 12, 14], [5, 7, 13, 15], [5, 7, 16, 18], [5, 7, 17, 19], [6, 7, 8, 9], [6, 7, 10, 11], [6, 7, 12, 13], [6, 7, 14, 15], [6, 7, 16, 17], [6, 7, 18, 19], [6, 7, 20, 21], [8, 9, 10, 11], [8, 9, 12, 13], [8, 9, 16, 17], [8, 9, 18, 19], [8, 9, 20, 21], [8, 10, 12, 14], [8, 10, 13, 15], [8, 10, 16, 18], [8, 10, 17, 19], [8, 11, 12, 15], [8, 11, 13, 14], [8, 11, 16, 19], [8, 11, 17, 18], [8, 12, 16, 20], [8, 12, 17, 21], [8, 13, 16, 21], [8, 13, 17, 20], [8, 14, 18, 20], [8, 14, 19, 21], [8, 15, 18, 21], [8, 15, 19, 20], [9, 10, 12, 15], [9, 10, 13, 14], [9, 10, 16, 19], [9, 10, 17, 18], [9, 11, 12, 14], [9, 11, 13, 15], [9, 11, 16, 18], [9, 11, 17, 19], [9, 12, 16, 21], [9, 12, 17, 20], [9, 13, 16, 20], [9, 13, 17, 21], [9, 14, 18, 21], [9, 14, 19, 20], [9, 15, 18, 20], [9, 15, 19, 21], [10, 11, 12, 13], [10, 11, 14, 15], [10, 11, 16, 17], [10, 11, 18, 19], [10, 11, 20, 21], [10, 12, 18, 20], [10, 12, 19, 21], [10, 13, 18, 21], [10, 13, 19, 20], [10, 14, 16, 20], [10, 14, 17, 21], [10, 15, 16, 21], [10, 15, 17, 20], [11, 12, 18, 21], [11, 12, 19, 20], [11, 13, 18, 20], [11, 13, 19, 21], [11, 14, 16, 21], [11, 14, 17, 20], [11, 15, 16, 20], [11, 15, 17, 21], [12, 13, 14, 15], [12, 13, 16, 17], [12, 13, 18, 19], [12, 13, 20, 21], [12, 14, 16, 18], [12, 14, 17, 19], [12, 15, 16, 19], [12, 15, 17, 18], [13, 14, 16, 19], [13, 14, 17, 18], [13, 15, 16, 18], [13, 15, 17, 19], [14, 15, 16, 17], [14, 15, 18, 19], [14, 15, 20, 21], [16, 17, 18, 19], [16, 17, 20, 21], [18, 19, 20, 21]]
# activation tensor and its vector representation are omitted.