M = 30, K = 3, Q = 1024

M=30_K=3_Q=1024_minh=2_ineq=14.txt is available here.

# minimum Hamming distance = 2
# activation inequality = 14
# active indices
a = [[0, 1, 2], [0, 1, 7], [0, 1, 14], [0, 1, 16], [0, 1, 22], [0, 1, 29], [0, 3, 23], [0, 6, 24], [0, 9, 18], [0, 9, 19], [0, 9, 20], [0, 9, 22], [0, 9, 23], [0, 9, 24], [0, 9, 25], [0, 9, 26], [0, 9, 28], [0, 9, 29], [0, 10, 12], [0, 10, 13], [0, 10, 14], [0, 10, 15], [0, 10, 16], [0, 10, 17], [0, 10, 18], [0, 10, 19], [0, 10, 20], [0, 10, 21], [0, 10, 23], [0, 10, 24], [0, 10, 25], [0, 10, 26], [0, 10, 27], [0, 10, 28], [0, 10, 29], [0, 11, 12], [0, 11, 14], [0, 11, 16], [0, 11, 17], [0, 11, 18], [0, 11, 19], [0, 11, 21], [0, 11, 22], [0, 11, 23], [0, 11, 24], [0, 11, 25], [0, 11, 26], [0, 11, 27], [0, 11, 28], [0, 11, 29], [0, 12, 13], [0, 12, 14], [0, 12, 15], [0, 12, 16], [0, 12, 17], [0, 12, 18], [0, 12, 20], [0, 12, 21], [0, 12, 22], [0, 12, 23], [0, 12, 24], [0, 12, 25], [0, 12, 26], [0, 12, 27], [0, 12, 28], [0, 12, 29], [0, 13, 14], [0, 13, 15], [0, 13, 16], [0, 13, 17], [0, 13, 18], [0, 13, 19], [0, 13, 21], [0, 13, 22], [0, 13, 23], [0, 13, 24], [0, 13, 25], [0, 13, 26], [0, 13, 27], [0, 13, 28], [0, 13, 29], [0, 14, 15], [0, 14, 16], [0, 14, 19], [0, 14, 20], [0, 14, 21], [0, 14, 22], [0, 14, 23], [0, 14, 24], [0, 14, 25], [0, 14, 26], [0, 14, 27], [0, 14, 28], [0, 14, 29], [0, 15, 16], [0, 15, 17], [0, 15, 18], [0, 15, 19], [0, 15, 20], [0, 21, 29], [0, 22, 24], [0, 22, 28], [0, 23, 29], [1, 2, 29], [1, 3, 5], [1, 4, 18], [1, 5, 6], [1, 5, 23], [1, 8, 21], [1, 8, 27], [1, 9, 17], [1, 9, 19], [1, 9, 20], [1, 9, 21], [1, 9, 22], [1, 9, 23], [1, 9, 24], [1, 9, 25], [1, 9, 27], [1, 9, 28], [1, 9, 29], [1, 10, 12], [1, 10, 13], [1, 10, 15], [1, 10, 16], [1, 10, 17], [1, 10, 19], [1, 10, 20], [1, 10, 21], [1, 10, 22], [1, 10, 24], [1, 10, 25], [1, 10, 28], [1, 10, 29], [1, 11, 15], [1, 11, 16], [1, 11, 17], [1, 11, 18], [1, 11, 20], [1, 11, 21], [1, 11, 22], [1, 11, 23], [1, 11, 24], [1, 11, 25], [1, 11, 26], [1, 11, 27], [1, 11, 28], [1, 11, 29], [1, 12, 13], [1, 12, 14], [1, 12, 15], [1, 12, 16], [1, 12, 18], [1, 12, 19], [1, 12, 20], [1, 12, 21], [1, 12, 22], [1, 12, 24], [1, 12, 25], [1, 12, 27], [1, 12, 28], [1, 12, 29], [1, 13, 14], [1, 13, 15], [1, 13, 16], [1, 13, 17], [1, 13, 18], [1, 13, 19], [1, 13, 20], [1, 15, 18], [1, 16, 18], [1, 16, 22], [1, 18, 20], [1, 18, 21], [1, 18, 22], [1, 18, 23], [1, 21, 25], [1, 21, 26], [1, 21, 27], [1, 21, 28], [1, 21, 29], [1, 22, 23], [1, 22, 24], [1, 22, 25], [1, 22, 26], [1, 22, 27], [1, 22, 29], [1, 23, 24], [1, 23, 25], [1, 23, 29], [1, 25, 27], [1, 25, 28], [1, 25, 29], [1, 26, 27], [1, 26, 28], [1, 26, 29], [1, 27, 28], [1, 27, 29], [1, 28, 29], [2, 3, 29], [2, 5, 23], [2, 5, 25], [2, 5, 26], [2, 5, 27], [2, 5, 28], [2, 5, 29], [2, 6, 7], [2, 6, 8], [2, 6, 10], [2, 6, 12], [2, 6, 16], [2, 6, 17], [2, 6, 18], [2, 6, 19], [2, 6, 20], [2, 6, 21], [2, 6, 22], [2, 6, 23], [2, 6, 24], [2, 6, 25], [2, 6, 26], [2, 6, 27], [2, 6, 28], [2, 6, 29], [2, 7, 8], [2, 7, 9], [2, 7, 10], [2, 7, 12], [2, 7, 13], [2, 7, 15], [2, 7, 16], [2, 7, 17], [2, 7, 18], [2, 7, 19], [2, 7, 20], [2, 7, 22], [2, 7, 23], [2, 7, 24], [2, 7, 25], [2, 7, 27], [2, 7, 28], [2, 7, 29], [2, 8, 9], [2, 8, 10], [2, 8, 12], [2, 8, 19], [2, 8, 20], [2, 8, 21], [2, 8, 22], [2, 8, 24], [2, 8, 26], [2, 8, 27], [2, 8, 28], [2, 8, 29], [2, 9, 10], [2, 9, 15], [2, 9, 16], [2, 9, 18], [2, 9, 19], [2, 9, 20], [2, 9, 21], [2, 9, 22], [2, 9, 23], [2, 9, 24], [2, 9, 25], [2, 9, 26], [2, 11, 25], [2, 16, 27], [2, 16, 29], [2, 18, 22], [2, 18, 23], [2, 18, 24], [2, 18, 25], [2, 18, 26], [2, 18, 27], [2, 18, 28], [2, 19, 20], [2, 19, 21], [2, 19, 22], [2, 19, 23], [2, 19, 24], [2, 19, 25], [2, 19, 26], [2, 19, 27], [2, 19, 28], [2, 19, 29], [2, 20, 24], [2, 20, 25], [2, 21, 23], [2, 21, 24], [2, 21, 25], [2, 21, 26], [2, 21, 27], [2, 21, 28], [2, 21, 29], [2, 22, 23], [2, 22, 24], [2, 24, 29], [2, 28, 29], [3, 4, 13], [3, 4, 16], [3, 4, 27], [3, 4, 29], [3, 5, 13], [3, 6, 13], [3, 7, 8], [3, 9, 10], [3, 9, 17], [3, 9, 18], [3, 9, 20], [3, 9, 21], [3, 9, 22], [3, 9, 23], [3, 9, 24], [3, 9, 25], [3, 9, 26], [3, 9, 29], [3, 10, 12], [3, 10, 13], [3, 10, 15], [3, 10, 16], [3, 10, 17], [3, 10, 18], [3, 10, 20], [3, 10, 21], [3, 10, 22], [3, 10, 23], [3, 10, 24], [3, 10, 25], [3, 10, 26], [3, 10, 27], [3, 10, 28], [3, 10, 29], [3, 11, 17], [3, 11, 18], [3, 11, 19], [3, 11, 20], [3, 11, 21], [3, 11, 22], [3, 12, 13], [3, 12, 14], [3, 12, 15], [3, 12, 16], [3, 12, 17], [3, 12, 18], [3, 12, 19], [3, 12, 20], [3, 12, 21], [3, 12, 22], [3, 12, 23], [3, 12, 24], [3, 12, 25], [3, 12, 26], [3, 12, 27], [3, 12, 28], [3, 12, 29], [3, 13, 15], [3, 13, 16], [3, 13, 17], [3, 13, 18], [3, 13, 19], [3, 13, 21], [3, 13, 22], [3, 13, 23], [3, 13, 24], [3, 13, 25], [3, 13, 26], [3, 13, 27], [3, 13, 28], [3, 13, 29], [3, 14, 15], [3, 19, 22], [3, 19, 23], [3, 19, 24], [3, 19, 25], [3, 19, 26], [3, 19, 27], [3, 19, 28], [3, 19, 29], [3, 20, 21], [3, 20, 22], [3, 20, 23], [3, 20, 24], [3, 20, 25], [3, 20, 26], [3, 20, 28], [3, 20, 29], [3, 21, 22], [3, 21, 26], [3, 21, 27], [3, 22, 26], [3, 22, 27], [3, 22, 28], [3, 22, 29], [3, 23, 24], [3, 23, 25], [3, 23, 26], [3, 23, 27], [3, 23, 28], [4, 5, 13], [4, 6, 11], [4, 6, 13], [4, 7, 13], [4, 8, 13], [4, 8, 27], [4, 9, 13], [4, 9, 15], [4, 9, 16], [4, 9, 17], [4, 9, 20], [4, 10, 12], [4, 10, 13], [4, 10, 14], [4, 10, 15], [4, 10, 16], [4, 10, 17], [4, 10, 19], [4, 11, 12], [4, 11, 13], [4, 11, 14], [4, 11, 15], [4, 11, 16], [4, 11, 17], [4, 11, 18], [4, 11, 19], [4, 11, 21], [4, 11, 22], [4, 11, 23], [4, 11, 25], [4, 12, 14], [4, 12, 15], [4, 12, 16], [4, 12, 25], [4, 12, 26], [4, 12, 27], [4, 12, 28], [4, 12, 29], [4, 13, 15], [4, 13, 16], [4, 13, 17], [4, 13, 19], [4, 13, 21], [4, 13, 22], [4, 13, 23], [4, 13, 24], [4, 13, 25], [4, 14, 15], [4, 14, 16], [4, 14, 18], [4, 14, 19], [4, 14, 20], [4, 14, 21], [4, 14, 22], [4, 14, 23], [4, 14, 24], [4, 14, 25], [4, 15, 17], [4, 15, 18], [4, 15, 20], [4, 15, 21], [4, 15, 22], [4, 15, 24], [4, 15, 26], [4, 15, 27], [4, 15, 28], [4, 15, 29], [4, 16, 17], [4, 16, 18], [4, 16, 23], [4, 16, 24], [4, 16, 26], [4, 16, 27], [4, 16, 28], [4, 16, 29], [4, 17, 18], [4, 17, 20], [4, 17, 21], [4, 17, 22], [4, 17, 23], [4, 17, 24], [4, 17, 25], [4, 17, 26], [4, 17, 27], [4, 20, 23], [4, 20, 26], [4, 20, 27], [4, 20, 28], [4, 20, 29], [4, 21, 22], [4, 21, 23], [4, 21, 24], [4, 21, 25], [4, 21, 26], [4, 21, 28], [4, 22, 25], [4, 24, 25], [4, 27, 29], [5, 7, 14], [5, 7, 15], [5, 7, 16], [5, 7, 17], [5, 7, 18], [5, 7, 20], [5, 7, 21], [5, 7, 22], [5, 7, 23], [5, 8, 28], [5, 9, 28], [5, 9, 29], [5, 10, 28], [5, 11, 13], [5, 11, 14], [5, 11, 15], [5, 11, 17], [5, 11, 18], [5, 11, 19], [5, 11, 20], [5, 11, 21], [5, 11, 22], [5, 11, 23], [5, 11, 24], [5, 11, 25], [5, 11, 26], [5, 11, 27], [5, 11, 28], [5, 11, 29], [5, 12, 13], [5, 12, 14], [5, 12, 18], [5, 13, 14], [5, 13, 15], [5, 13, 16], [5, 13, 17], [5, 13, 18], [5, 13, 19], [5, 16, 23], [5, 18, 29], [5, 19, 22], [5, 19, 23], [5, 19, 24], [5, 19, 25], [5, 19, 26], [5, 19, 27], [5, 19, 28], [5, 19, 29], [5, 20, 21], [5, 20, 22], [5, 20, 23], [5, 20, 24], [5, 20, 25], [5, 20, 26], [5, 20, 27], [5, 20, 28], [5, 20, 29], [5, 21, 22], [5, 21, 23], [5, 21, 24], [5, 21, 25], [5, 21, 26], [5, 21, 27], [5, 21, 28], [5, 21, 29], [5, 22, 24], [5, 22, 25], [5, 22, 26], [5, 22, 27], [5, 22, 28], [5, 22, 29], [5, 23, 24], [5, 23, 25], [5, 23, 26], [5, 23, 27], [5, 23, 28], [5, 23, 29], [5, 24, 25], [5, 24, 26], [5, 24, 27], [5, 24, 28], [5, 24, 29], [5, 25, 26], [5, 25, 27], [5, 25, 28], [5, 25, 29], [5, 26, 27], [5, 26, 28], [5, 26, 29], [5, 27, 28], [5, 27, 29], [5, 28, 29], [6, 7, 14], [6, 7, 15], [6, 7, 16], [6, 7, 17], [6, 7, 18], [6, 7, 20], [6, 7, 21], [6, 7, 22], [6, 7, 23], [6, 7, 24], [6, 7, 25], [6, 7, 26], [6, 7, 27], [6, 11, 19], [6, 12, 23], [6, 14, 23], [6, 14, 24], [6, 14, 25], [6, 14, 26], [6, 14, 27], [6, 14, 28], [6, 14, 29], [6, 15, 16], [6, 15, 18], [6, 15, 19], [6, 15, 21], [6, 15, 22], [6, 15, 23], [6, 15, 24], [6, 15, 25], [6, 15, 26], [6, 15, 27], [6, 15, 28], [6, 15, 29], [6, 16, 17], [6, 16, 18], [6, 16, 19], [6, 16, 20], [6, 16, 28], [6, 17, 20], [6, 18, 20], [6, 18, 21], [6, 18, 22], [6, 18, 23], [6, 18, 24], [6, 18, 26], [6, 18, 29], [6, 19, 22], [6, 19, 23], [6, 19, 24], [6, 19, 25], [6, 19, 26], [6, 19, 27], [6, 19, 28], [6, 19, 29], [6, 20, 21], [6, 20, 22], [6, 20, 23], [6, 20, 24], [6, 20, 25], [6, 21, 25], [6, 21, 29], [6, 22, 25], [6, 23, 24], [6, 23, 25], [6, 23, 27], [6, 23, 28], [6, 23, 29], [6, 24, 25], [6, 24, 26], [6, 24, 27], [6, 24, 28], [6, 24, 29], [6, 25, 26], [6, 25, 27], [6, 25, 28], [6, 25, 29], [6, 26, 27], [6, 26, 28], [6, 28, 29], [7, 8, 9], [7, 8, 10], [7, 8, 13], [7, 8, 14], [7, 8, 15], [7, 8, 16], [7, 8, 17], [7, 8, 18], [7, 8, 19], [7, 8, 20], [7, 8, 21], [7, 8, 22], [7, 8, 23], [7, 8, 24], [7, 8, 25], [7, 8, 26], [7, 8, 27], [7, 8, 28], [7, 8, 29], [7, 9, 10], [7, 9, 13], [7, 9, 14], [7, 9, 15], [7, 9, 16], [7, 9, 17], [7, 9, 18], [7, 9, 19], [7, 9, 20], [7, 9, 22], [7, 9, 23], [7, 9, 24], [7, 9, 25], [7, 9, 26], [7, 9, 27], [7, 9, 28], [7, 9, 29], [7, 10, 15], [7, 11, 29], [7, 12, 14], [7, 14, 26], [7, 14, 27], [7, 17, 21], [7, 17, 23], [7, 17, 24], [7, 17, 26], [7, 17, 27], [7, 17, 28], [7, 17, 29], [7, 18, 20], [7, 18, 21], [7, 18, 22], [7, 18, 23], [7, 18, 24], [7, 18, 27], [7, 18, 28], [7, 19, 20], [7, 20, 21], [7, 20, 22], [7, 25, 29], [8, 9, 18], [8, 9, 19], [8, 9, 20], [8, 9, 21], [8, 9, 22], [8, 9, 23], [8, 9, 24], [8, 9, 25], [8, 10, 11], [8, 10, 14], [8, 10, 15], [8, 10, 16], [8, 10, 17], [8, 10, 19], [8, 10, 20], [8, 10, 21], [8, 10, 22], [8, 10, 23], [8, 10, 24], [8, 10, 26], [8, 10, 27], [8, 10, 28], [8, 10, 29], [8, 11, 15], [8, 11, 16], [8, 11, 18], [8, 12, 21], [8, 12, 22], [8, 12, 23], [8, 12, 24], [8, 13, 24], [8, 13, 26], [8, 14, 16], [8, 14, 18], [8, 14, 19], [8, 14, 20], [8, 15, 16], [8, 15, 17], [8, 15, 19], [8, 15, 23], [8, 15, 25], [8, 17, 19], [8, 17, 26], [8, 17, 27], [8, 17, 28], [8, 17, 29], [8, 18, 19], [8, 18, 20], [8, 18, 21], [8, 18, 22], [8, 18, 23], [8, 18, 24], [8, 18, 27], [8, 18, 28], [8, 18, 29], [8, 19, 20], [8, 19, 21], [8, 19, 22], [8, 19, 23], [8, 19, 24], [8, 23, 27], [8, 24, 28], [8, 26, 27], [8, 26, 28], [9, 16, 21], [9, 16, 22], [9, 16, 23], [9, 16, 24], [9, 16, 26], [9, 16, 27], [9, 16, 28], [9, 16, 29], [9, 17, 20], [9, 17, 21], [9, 17, 22], [9, 17, 24], [9, 17, 26], [9, 17, 27], [9, 17, 28], [9, 17, 29], [9, 20, 21], [9, 20, 22], [9, 20, 24], [9, 20, 28], [9, 20, 29], [9, 21, 22], [9, 21, 24], [9, 27, 29], [10, 11, 13], [10, 11, 14], [10, 11, 17], [10, 14, 23], [10, 14, 24], [10, 14, 26], [10, 14, 27], [10, 14, 28], [10, 14, 29], [10, 15, 17], [10, 15, 27], [10, 16, 26], [10, 16, 27], [10, 16, 28], [10, 16, 29], [10, 17, 18], [10, 17, 20], [10, 18, 20], [10, 18, 21], [10, 18, 23], [10, 18, 27], [10, 21, 27], [10, 25, 26], [10, 25, 27], [10, 25, 28], [10, 25, 29], [11, 13, 17], [11, 14, 17], [11, 15, 18], [11, 15, 20], [11, 16, 17], [11, 16, 27], [11, 17, 18], [11, 19, 29], [11, 20, 21], [11, 20, 22], [11, 20, 23], [11, 20, 24], [11, 20, 25], [11, 20, 27], [11, 20, 28], [11, 21, 23], [11, 21, 24], [11, 21, 25], [11, 22, 24], [11, 22, 25], [11, 22, 27], [11, 23, 28], [11, 23, 29], [11, 24, 25], [11, 24, 27], [11, 25, 27], [11, 25, 29], [11, 27, 28], [11, 27, 29], [12, 13, 14], [12, 13, 16], [12, 14, 16], [12, 14, 18], [12, 15, 17], [12, 15, 18], [12, 15, 25], [12, 15, 26], [12, 15, 28], [12, 16, 17], [12, 16, 19], [12, 16, 20], [12, 16, 21], [12, 16, 22], [12, 16, 25], [12, 21, 27], [12, 21, 28], [12, 21, 29], [12, 22, 23], [12, 22, 24], [12, 22, 25], [12, 22, 26], [12, 23, 25], [12, 24, 28], [12, 24, 29], [12, 25, 26], [12, 25, 28], [12, 25, 29], [12, 26, 28], [12, 28, 29], [13, 15, 17], [13, 16, 17], [13, 17, 18], [13, 17, 21], [13, 17, 22], [13, 17, 23], [13, 17, 24], [13, 17, 25], [13, 18, 24], [13, 18, 25], [13, 18, 26], [13, 18, 27], [13, 18, 28], [13, 19, 22], [13, 19, 23], [13, 19, 24], [13, 19, 25], [13, 19, 26], [13, 19, 27], [13, 19, 28], [13, 20, 21], [13, 20, 22], [13, 20, 23], [13, 25, 26], [13, 27, 28], [14, 15, 16], [14, 15, 17], [14, 16, 26], [14, 16, 27], [14, 16, 28], [14, 17, 19], [14, 17, 20], [14, 17, 21], [14, 17, 22], [14, 17, 23], [14, 17, 25], [14, 17, 26], [14, 17, 27], [14, 17, 28], [14, 17, 29], [14, 18, 20], [14, 18, 21], [14, 18, 22], [14, 18, 23], [14, 24, 25], [14, 24, 26], [14, 24, 27], [14, 24, 28], [14, 24, 29], [14, 25, 26], [14, 25, 27], [14, 25, 28], [14, 25, 29], [14, 26, 27], [14, 26, 28], [14, 26, 29], [14, 27, 28], [14, 27, 29], [14, 28, 29], [15, 16, 17], [15, 16, 18], [15, 16, 19], [15, 16, 20], [15, 16, 21], [15, 16, 22], [15, 16, 23], [15, 16, 24], [15, 16, 25], [15, 16, 26], [15, 16, 27], [15, 16, 28], [15, 16, 29], [15, 17, 18], [15, 17, 19], [15, 17, 20], [15, 17, 21], [15, 17, 22], [15, 17, 23], [15, 17, 24], [15, 17, 25], [15, 17, 26], [15, 17, 27], [15, 18, 20], [15, 18, 22], [15, 21, 27], [15, 23, 28], [15, 27, 28], [16, 19, 20], [16, 19, 21], [16, 19, 22], [16, 19, 23], [16, 19, 25], [16, 19, 26], [16, 19, 27], [16, 21, 24], [16, 23, 24], [16, 27, 28], [17, 18, 25], [18, 22, 29], [18, 24, 26], [18, 25, 26], [18, 26, 27], [18, 26, 28], [18, 26, 29], [19, 20, 26], [19, 21, 29], [19, 22, 24], [19, 22, 26], [19, 23, 26], [19, 24, 26], [19, 25, 26], [19, 26, 28], [19, 26, 29], [20, 21, 26], [20, 22, 26], [20, 23, 24], [20, 23, 26], [20, 26, 28], [21, 22, 23], [21, 22, 24], [22, 23, 27], [23, 28, 29], [26, 28, 29]]
# activation tensor and its vector representation are omitted.