M = 28, K = 3, Q = 256

M=28_K=3_Q=256_minh=2_ineq=13.txt is available here.

# minimum Hamming distance = 2
# activation inequality = 13
# active indices
a = [[0, 1, 2], [0, 1, 19], [0, 3, 4], [0, 3, 5], [0, 3, 6], [0, 3, 8], [0, 3, 9], [0, 3, 12], [0, 3, 13], [0, 3, 15], [0, 3, 16], [0, 3, 17], [0, 3, 18], [0, 3, 19], [0, 3, 21], [0, 3, 22], [0, 3, 23], [0, 3, 24], [0, 3, 27], [0, 4, 16], [0, 4, 17], [0, 4, 18], [0, 7, 10], [0, 10, 26], [0, 13, 27], [0, 15, 21], [0, 17, 25], [0, 18, 24], [1, 12, 23], [1, 12, 24], [1, 12, 25], [1, 12, 27], [1, 13, 15], [1, 13, 17], [1, 13, 19], [1, 13, 20], [1, 13, 21], [1, 13, 23], [1, 13, 24], [1, 13, 25], [1, 13, 26], [1, 13, 27], [1, 14, 15], [1, 14, 16], [1, 14, 17], [1, 14, 19], [1, 15, 23], [1, 15, 24], [1, 15, 25], [1, 15, 27], [1, 16, 17], [1, 17, 22], [1, 19, 21], [2, 3, 8], [2, 3, 12], [2, 3, 25], [2, 3, 26], [2, 4, 5], [2, 4, 6], [2, 5, 27], [2, 11, 15], [2, 11, 19], [2, 12, 21], [2, 14, 26], [2, 15, 16], [2, 15, 17], [2, 15, 18], [2, 15, 19], [2, 15, 20], [2, 15, 21], [2, 15, 22], [2, 15, 23], [2, 15, 24], [2, 15, 25], [2, 16, 19], [2, 16, 25], [2, 19, 24], [2, 21, 26], [2, 25, 27], [3, 4, 16], [3, 4, 24], [3, 11, 16], [3, 14, 18], [3, 16, 17], [3, 16, 19], [3, 19, 22], [4, 5, 27], [4, 7, 10], [4, 8, 26], [4, 11, 20], [4, 11, 21], [4, 12, 18], [4, 12, 19], [4, 12, 21], [4, 12, 22], [4, 12, 23], [4, 12, 24], [4, 12, 25], [4, 15, 17], [4, 16, 19], [4, 17, 24], [4, 18, 23], [4, 21, 22], [4, 22, 26], [4, 23, 27], [4, 24, 26], [5, 6, 20], [5, 6, 23], [5, 6, 25], [5, 6, 26], [5, 7, 15], [5, 7, 17], [5, 7, 19], [5, 7, 20], [5, 11, 22], [5, 11, 24], [5, 11, 25], [5, 11, 26], [5, 11, 27], [5, 12, 13], [5, 13, 25], [5, 16, 20], [5, 17, 20], [5, 18, 20], [5, 20, 21], [5, 20, 22], [5, 20, 23], [5, 20, 24], [5, 20, 25], [5, 20, 27], [6, 8, 10], [6, 9, 19], [6, 9, 21], [6, 9, 24], [6, 9, 25], [6, 9, 27], [6, 14, 23], [6, 15, 23], [6, 16, 23], [6, 17, 22], [6, 17, 24], [6, 17, 25], [6, 18, 23], [6, 18, 25], [6, 18, 26], [6, 22, 24], [6, 22, 25], [6, 22, 27], [6, 23, 25], [6, 23, 27], [6, 24, 27], [6, 25, 27], [7, 8, 13], [7, 8, 16], [7, 8, 17], [7, 8, 21], [7, 8, 23], [7, 8, 26], [7, 8, 27], [7, 9, 13], [7, 9, 18], [7, 9, 22], [7, 10, 20], [7, 12, 22], [7, 14, 20], [7, 14, 23], [7, 15, 24], [7, 16, 19], [7, 19, 24], [7, 21, 23], [7, 22, 23], [7, 23, 24], [7, 23, 26], [7, 23, 27], [8, 9, 11], [8, 9, 26], [8, 9, 27], [8, 10, 14], [8, 10, 16], [8, 10, 17], [8, 10, 18], [8, 10, 19], [8, 10, 21], [8, 10, 22], [8, 10, 23], [8, 13, 17], [8, 13, 18], [8, 13, 19], [8, 13, 23], [8, 14, 15], [8, 18, 25], [9, 10, 11], [9, 10, 12], [9, 10, 15], [9, 10, 17], [9, 10, 19], [9, 10, 20], [9, 10, 21], [9, 10, 22], [9, 10, 25], [9, 10, 27], [9, 11, 18], [9, 11, 19], [9, 11, 21], [9, 14, 24], [9, 14, 26], [9, 14, 27], [10, 11, 20], [10, 12, 14], [10, 13, 14], [10, 13, 20], [10, 18, 21], [11, 13, 14], [11, 13, 18], [11, 14, 16], [11, 14, 17], [11, 17, 18], [11, 18, 19], [11, 18, 21], [11, 19, 20], [11, 20, 21], [11, 20, 22], [11, 20, 24], [11, 20, 25], [12, 14, 18], [12, 14, 19], [12, 14, 21], [12, 14, 23], [12, 14, 24], [12, 14, 26], [12, 14, 27], [12, 16, 17], [12, 18, 22], [12, 19, 27], [13, 16, 24], [13, 17, 26], [13, 19, 25], [13, 22, 25], [14, 15, 18], [15, 22, 27], [16, 18, 19], [16, 18, 24], [16, 20, 27], [16, 21, 22], [16, 21, 24], [16, 25, 26], [16, 26, 27], [17, 21, 25], [17, 22, 26], [17, 23, 26], [18, 21, 26], [20, 22, 26], [20, 26, 27], [21, 22, 26], [21, 25, 26], [22, 24, 26]]
# activation tensor and its vector representation are omitted.