M = 32, K = 3, Q = 1024

M=32_K=3_Q=1024_minh=2_ineq=0.txt is available here.

# minimum Hamming distance = 2
# activation inequality = 0
# active indices
a = [[0, 1, 2], [0, 1, 10], [0, 1, 13], [0, 1, 14], [0, 1, 28], [0, 2, 16], [0, 2, 17], [0, 2, 18], [0, 2, 19], [0, 2, 20], [0, 3, 5], [0, 3, 11], [0, 3, 15], [0, 3, 24], [0, 3, 26], [0, 3, 31], [0, 4, 13], [0, 4, 18], [0, 4, 20], [0, 4, 21], [0, 4, 25], [0, 5, 8], [0, 5, 16], [0, 5, 19], [0, 5, 21], [0, 5, 25], [0, 6, 7], [0, 6, 11], [0, 6, 26], [0, 7, 15], [0, 7, 17], [0, 7, 24], [0, 7, 27], [0, 7, 29], [0, 8, 10], [0, 8, 24], [0, 8, 26], [0, 8, 28], [0, 8, 31], [0, 9, 15], [0, 9, 18], [0, 9, 19], [0, 9, 22], [0, 9, 29], [0, 10, 12], [0, 10, 14], [0, 10, 16], [0, 10, 18], [0, 10, 19], [0, 10, 22], [0, 10, 23], [0, 10, 24], [0, 10, 27], [0, 11, 17], [0, 11, 24], [0, 11, 25], [0, 11, 30], [0, 12, 19], [0, 12, 20], [0, 12, 21], [0, 12, 28], [0, 13, 16], [0, 13, 19], [0, 13, 25], [0, 14, 16], [0, 14, 17], [0, 14, 20], [0, 14, 21], [0, 14, 31], [0, 15, 16], [0, 15, 21], [0, 15, 23], [0, 15, 24], [0, 15, 27], [0, 15, 31], [0, 16, 17], [0, 16, 18], [0, 16, 21], [0, 16, 28], [0, 16, 29], [0, 17, 19], [0, 17, 20], [0, 17, 21], [0, 18, 19], [0, 18, 28], [0, 19, 29], [0, 20, 27], [0, 20, 31], [0, 21, 23], [0, 22, 26], [0, 23, 29], [0, 24, 28], [0, 25, 27], [0, 26, 29], [0, 26, 30], [0, 29, 30], [1, 2, 9], [1, 2, 16], [1, 2, 18], [1, 2, 20], [1, 2, 26], [1, 3, 5], [1, 3, 13], [1, 3, 26], [1, 4, 8], [1, 4, 12], [1, 4, 23], [1, 4, 25], [1, 4, 28], [1, 4, 29], [1, 5, 24], [1, 6, 10], [1, 6, 15], [1, 6, 16], [1, 6, 25], [1, 6, 29], [1, 6, 30], [1, 7, 11], [1, 7, 23], [1, 7, 24], [1, 7, 25], [1, 8, 11], [1, 8, 16], [1, 8, 24], [1, 8, 27], [1, 8, 28], [1, 8, 30], [1, 9, 15], [1, 9, 17], [1, 9, 20], [1, 10, 11], [1, 10, 13], [1, 10, 19], [1, 11, 12], [1, 11, 14], [1, 11, 15], [1, 11, 16], [1, 12, 15], [1, 12, 17], [1, 12, 20], [1, 12, 23], [1, 13, 15], [1, 13, 18], [1, 13, 19], [1, 13, 21], [1, 13, 24], [1, 13, 28], [1, 14, 15], [1, 14, 17], [1, 14, 19], [1, 14, 21], [1, 14, 23], [1, 14, 24], [1, 14, 26], [1, 14, 27], [1, 14, 28], [1, 14, 29], [1, 15, 17], [1, 15, 18], [1, 15, 22], [1, 15, 25], [1, 15, 30], [1, 16, 18], [1, 16, 19], [1, 16, 21], [1, 16, 31], [1, 17, 20], [1, 18, 26], [1, 19, 22], [1, 19, 25], [1, 20, 22], [1, 21, 27], [1, 22, 23], [1, 22, 24], [1, 22, 26], [1, 22, 29], [1, 22, 30], [1, 23, 24], [1, 23, 27], [1, 23, 30], [1, 24, 26], [1, 24, 27], [1, 24, 29], [1, 24, 31], [1, 25, 26], [1, 26, 31], [1, 28, 29], [2, 3, 9], [2, 3, 13], [2, 3, 14], [2, 3, 20], [2, 3, 31], [2, 4, 7], [2, 4, 15], [2, 4, 22], [2, 5, 6], [2, 5, 7], [2, 5, 11], [2, 5, 21], [2, 5, 27], [2, 6, 19], [2, 6, 23], [2, 6, 24], [2, 6, 28], [2, 6, 29], [2, 6, 30], [2, 7, 16], [2, 8, 16], [2, 9, 17], [2, 9, 24], [2, 9, 27], [2, 9, 28], [2, 10, 22], [2, 10, 23], [2, 10, 24], [2, 10, 31], [2, 11, 12], [2, 11, 16], [2, 11, 22], [2, 11, 25], [2, 11, 26], [2, 12, 13], [2, 12, 20], [2, 12, 27], [2, 12, 29], [2, 13, 16], [2, 13, 22], [2, 13, 29], [2, 14, 18], [2, 14, 20], [2, 14, 27], [2, 14, 31], [2, 15, 17], [2, 15, 20], [2, 15, 21], [2, 15, 22], [2, 15, 24], [2, 15, 25], [2, 15, 26], [2, 16, 20], [2, 16, 28], [2, 16, 29], [2, 17, 19], [2, 17, 20], [2, 17, 24], [2, 17, 25], [2, 18, 19], [2, 18, 23], [2, 18, 24], [2, 18, 25], [2, 18, 27], [2, 18, 31], [2, 19, 21], [2, 19, 23], [2, 19, 24], [2, 19, 25], [2, 19, 27], [2, 19, 29], [2, 20, 25], [2, 20, 30], [2, 21, 25], [2, 21, 29], [2, 21, 30], [2, 22, 23], [2, 22, 28], [2, 22, 30], [2, 24, 31], [2, 25, 26], [2, 27, 30], [2, 28, 30], [2, 28, 31], [2, 29, 30], [3, 4, 5], [3, 4, 9], [3, 4, 14], [3, 4, 30], [3, 4, 31], [3, 5, 10], [3, 5, 11], [3, 5, 14], [3, 5, 26], [3, 5, 27], [3, 5, 28], [3, 5, 29], [3, 5, 30], [3, 6, 10], [3, 6, 15], [3, 6, 23], [3, 6, 28], [3, 6, 29], [3, 6, 30], [3, 6, 31], [3, 7, 18], [3, 7, 22], [3, 8, 17], [3, 8, 25], [3, 8, 27], [3, 9, 21], [3, 9, 22], [3, 9, 23], [3, 10, 13], [3, 10, 15], [3, 10, 16], [3, 10, 24], [3, 10, 31], [3, 11, 12], [3, 11, 23], [3, 12, 23], [3, 12, 28], [3, 12, 31], [3, 13, 16], [3, 13, 20], [3, 13, 29], [3, 14, 23], [3, 14, 30], [3, 15, 16], [3, 15, 17], [3, 15, 18], [3, 15, 26], [3, 15, 28], [3, 16, 18], [3, 16, 19], [3, 16, 27], [3, 16, 29], [3, 16, 31], [3, 17, 19], [3, 17, 23], [3, 17, 26], [3, 17, 28], [3, 17, 31], [3, 18, 22], [3, 18, 23], [3, 18, 26], [3, 18, 27], [3, 18, 28], [3, 18, 29], [3, 20, 26], [3, 20, 27], [3, 20, 28], [3, 20, 30], [3, 21, 22], [3, 22, 29], [3, 22, 30], [3, 22, 31], [3, 23, 27], [3, 23, 29], [3, 24, 25], [3, 24, 26], [3, 24, 27], [3, 24, 30], [3, 25, 28], [3, 25, 29], [3, 26, 28], [3, 28, 30], [4, 5, 9], [4, 5, 17], [4, 5, 23], [4, 5, 24], [4, 5, 26], [4, 5, 27], [4, 5, 28], [4, 6, 7], [4, 6, 9], [4, 6, 12], [4, 6, 26], [4, 6, 28], [4, 6, 31], [4, 7, 10], [4, 7, 12], [4, 7, 17], [4, 7, 27], [4, 7, 30], [4, 8, 18], [4, 8, 21], [4, 8, 22], [4, 8, 23], [4, 9, 10], [4, 9, 18], [4, 9, 19], [4, 9, 24], [4, 9, 25], [4, 10, 14], [4, 10, 19], [4, 10, 24], [4, 10, 26], [4, 10, 29], [4, 11, 16], [4, 11, 18], [4, 11, 19], [4, 11, 23], [4, 11, 26], [4, 11, 30], [4, 11, 31], [4, 12, 21], [4, 13, 17], [4, 14, 19], [4, 14, 21], [4, 14, 24], [4, 15, 21], [4, 15, 26], [4, 15, 30], [4, 16, 20], [4, 16, 21], [4, 16, 24], [4, 16, 30], [4, 16, 31], [4, 17, 21], [4, 17, 22], [4, 17, 25], [4, 17, 29], [4, 17, 30], [4, 18, 24], [4, 19, 24], [4, 19, 25], [4, 19, 27], [4, 19, 31], [4, 20, 28], [4, 20, 29], [4, 20, 31], [4, 21, 26], [4, 22, 29], [4, 22, 31], [4, 23, 26], [4, 23, 29], [4, 24, 28], [4, 24, 29], [4, 25, 29], [4, 27, 29], [4, 29, 30], [4, 29, 31], [4, 30, 31], [5, 6, 12], [5, 6, 17], [5, 6, 24], [5, 6, 27], [5, 6, 29], [5, 7, 8], [5, 7, 10], [5, 7, 13], [5, 7, 15], [5, 7, 17], [5, 7, 23], [5, 8, 13], [5, 8, 14], [5, 8, 16], [5, 8, 24], [5, 8, 25], [5, 8, 26], [5, 8, 29], [5, 8, 31], [5, 9, 13], [5, 9, 16], [5, 9, 18], [5, 9, 19], [5, 9, 28], [5, 9, 31], [5, 10, 13], [5, 10, 17], [5, 10, 19], [5, 10, 20], [5, 10, 24], [5, 10, 30], [5, 11, 30], [5, 12, 20], [5, 12, 21], [5, 12, 28], [5, 13, 19], [5, 13, 30], [5, 14, 15], [5, 14, 26], [5, 15, 30], [5, 16, 18], [5, 16, 24], [5, 16, 25], [5, 16, 28], [5, 16, 30], [5, 17, 23], [5, 17, 25], [5, 17, 27], [5, 18, 20], [5, 18, 22], [5, 18, 24], [5, 18, 25], [5, 18, 26], [5, 18, 29], [5, 19, 20], [5, 19, 21], [5, 19, 24], [5, 19, 28], [5, 19, 29], [5, 20, 22], [5, 20, 26], [5, 21, 27], [5, 26, 27], [5, 26, 30], [5, 26, 31], [5, 27, 28], [5, 30, 31], [6, 7, 9], [6, 7, 10], [6, 7, 12], [6, 7, 17], [6, 7, 19], [6, 7, 20], [6, 7, 22], [6, 7, 29], [6, 8, 9], [6, 8, 12], [6, 8, 15], [6, 8, 16], [6, 8, 23], [6, 8, 27], [6, 8, 28], [6, 8, 29], [6, 9, 10], [6, 9, 11], [6, 9, 12], [6, 9, 13], [6, 9, 16], [6, 9, 17], [6, 9, 18], [6, 9, 29], [6, 9, 30], [6, 10, 11], [6, 10, 14], [6, 10, 23], [6, 10, 25], [6, 10, 27], [6, 11, 12], [6, 11, 18], [6, 11, 22], [6, 12, 16], [6, 12, 17], [6, 12, 25], [6, 12, 26], [6, 12, 31], [6, 13, 23], [6, 14, 16], [6, 14, 28], [6, 14, 29], [6, 15, 26], [6, 15, 31], [6, 16, 17], [6, 16, 18], [6, 17, 23], [6, 17, 28], [6, 17, 31], [6, 18, 24], [6, 18, 30], [6, 18, 31], [6, 19, 21], [6, 19, 28], [6, 21, 24], [6, 23, 30], [6, 25, 26], [6, 25, 27], [6, 26, 29], [6, 26, 30], [6, 28, 29], [6, 29, 31], [7, 8, 9], [7, 8, 18], [7, 8, 19], [7, 8, 29], [7, 9, 11], [7, 9, 13], [7, 9, 16], [7, 9, 18], [7, 9, 23], [7, 9, 30], [7, 10, 12], [7, 10, 27], [7, 11, 21], [7, 11, 22], [7, 11, 23], [7, 11, 26], [7, 11, 28], [7, 11, 29], [7, 12, 13], [7, 12, 18], [7, 12, 22], [7, 12, 24], [7, 12, 26], [7, 12, 28], [7, 12, 29], [7, 12, 31], [7, 13, 28], [7, 14, 27], [7, 14, 28], [7, 15, 19], [7, 16, 22], [7, 16, 24], [7, 16, 25], [7, 17, 26], [7, 17, 29], [7, 17, 30], [7, 18, 21], [7, 18, 22], [7, 18, 28], [7, 19, 20], [7, 19, 24], [7, 19, 29], [7, 20, 21], [7, 20, 23], [7, 20, 26], [7, 20, 30], [7, 21, 27], [7, 21, 30], [7, 21, 31], [7, 22, 26], [7, 22, 29], [7, 23, 24], [7, 23, 28], [7, 23, 29], [7, 25, 26], [7, 25, 27], [7, 25, 28], [7, 28, 29], [7, 28, 30], [7, 28, 31], [7, 30, 31], [8, 9, 14], [8, 9, 22], [8, 9, 23], [8, 9, 25], [8, 9, 26], [8, 9, 28], [8, 9, 31], [8, 10, 12], [8, 10, 15], [8, 10, 21], [8, 10, 22], [8, 10, 30], [8, 11, 15], [8, 11, 21], [8, 11, 26], [8, 12, 18], [8, 12, 19], [8, 12, 23], [8, 13, 14], [8, 13, 21], [8, 13, 22], [8, 13, 23], [8, 13, 25], [8, 13, 27], [8, 13, 29], [8, 14, 17], [8, 14, 21], [8, 14, 22], [8, 14, 23], [8, 15, 19], [8, 15, 20], [8, 15, 21], [8, 15, 22], [8, 16, 19], [8, 16, 20], [8, 16, 21], [8, 17, 21], [8, 17, 24], [8, 17, 28], [8, 17, 29], [8, 17, 31], [8, 18, 25], [8, 18, 26], [8, 18, 30], [8, 19, 21], [8, 20, 24], [8, 20, 29], [8, 21, 22], [8, 22, 26], [8, 24, 28], [8, 25, 30], [8, 26, 27], [8, 26, 28], [8, 27, 30], [9, 10, 16], [9, 10, 21], [9, 10, 24], [9, 10, 25], [9, 10, 26], [9, 10, 27], [9, 10, 28], [9, 11, 12], [9, 11, 15], [9, 11, 26], [9, 11, 29], [9, 11, 30], [9, 12, 13], [9, 12, 14], [9, 13, 17], [9, 13, 18], [9, 13, 21], [9, 13, 22], [9, 13, 24], [9, 13, 26], [9, 13, 27], [9, 14, 22], [9, 14, 23], [9, 15, 20], [9, 15, 21], [9, 15, 30], [9, 16, 21], [9, 17, 19], [9, 17, 21], [9, 17, 22], [9, 19, 21], [9, 19, 27], [9, 19, 31], [9, 20, 21], [9, 20, 23], [9, 20, 31], [9, 21, 26], [9, 21, 29], [9, 22, 23], [9, 23, 24], [10, 11, 13], [10, 12, 14], [10, 12, 24], [10, 12, 25], [10, 12, 26], [10, 12, 27], [10, 13, 15], [10, 13, 21], [10, 13, 31], [10, 14, 15], [10, 14, 22], [10, 14, 23], [10, 14, 27], [10, 15, 30], [10, 16, 26], [10, 17, 18], [10, 17, 25], [10, 17, 29], [10, 18, 22], [10, 18, 27], [10, 18, 28], [10, 19, 20], [10, 19, 22], [10, 19, 30], [10, 20, 21], [10, 20, 22], [10, 20, 28], [10, 21, 22], [10, 22, 23], [10, 22, 29], [10, 22, 31], [10, 23, 28], [10, 24, 30], [10, 25, 27], [10, 25, 29], [11, 12, 18], [11, 12, 20], [11, 12, 21], [11, 12, 23], [11, 12, 24], [11, 12, 25], [11, 13, 16], [11, 13, 18], [11, 13, 23], [11, 13, 25], [11, 14, 17], [11, 14, 22], [11, 14, 31], [11, 15, 17], [11, 15, 22], [11, 16, 25], [11, 16, 29], [11, 16, 31], [11, 17, 28], [11, 18, 23], [11, 19, 20], [11, 19, 22], [11, 19, 24], [11, 19, 28], [11, 19, 30], [11, 20, 21], [11, 20, 22], [11, 20, 29], [11, 20, 31], [11, 21, 22], [11, 21, 23], [11, 21, 26], [11, 22, 23], [11, 22, 25], [11, 22, 27], [11, 22, 28], [11, 23, 31], [11, 24, 26], [11, 24, 30], [11, 27, 28], [11, 28, 29], [11, 28, 30], [11, 28, 31], [11, 29, 30], [11, 29, 31], [12, 13, 16], [12, 14, 21], [12, 14, 26], [12, 14, 30], [12, 15, 16], [12, 15, 21], [12, 15, 23], [12, 15, 25], [12, 16, 31], [12, 17, 21], [12, 17, 24], [12, 17, 30], [12, 18, 23], [12, 18, 25], [12, 18, 27], [12, 18, 30], [12, 18, 31], [12, 19, 20], [12, 19, 23], [12, 19, 28], [12, 19, 30], [12, 20, 21], [12, 20, 22], [12, 21, 26], [12, 21, 27], [12, 22, 23], [12, 22, 25], [12, 22, 29], [12, 24, 25], [12, 24, 27], [12, 27, 29], [12, 28, 31], [12, 30, 31], [13, 14, 17], [13, 14, 18], [13, 14, 22], [13, 15, 19], [13, 15, 24], [13, 15, 26], [13, 15, 30], [13, 16, 19], [13, 16, 26], [13, 16, 29], [13, 17, 22], [13, 17, 24], [13, 17, 25], [13, 17, 31], [13, 18, 22], [13, 18, 24], [13, 18, 25], [13, 18, 27], [13, 18, 29], [13, 19, 20], [13, 19, 24], [13, 19, 27], [13, 20, 21], [13, 20, 23], [13, 20, 26], [13, 21, 22], [13, 21, 23], [13, 21, 28], [13, 22, 30], [13, 22, 31], [13, 23, 27], [13, 24, 26], [13, 25, 28], [13, 26, 27], [13, 27, 29], [13, 27, 30], [13, 29, 31], [13, 30, 31], [14, 15, 31], [14, 16, 19], [14, 16, 21], [14, 16, 22], [14, 16, 31], [14, 17, 18], [14, 17, 25], [14, 17, 28], [14, 17, 31], [14, 18, 20], [14, 18, 26], [14, 18, 28], [14, 19, 30], [14, 20, 21], [14, 20, 30], [14, 20, 31], [14, 21, 29], [14, 21, 31], [14, 22, 31], [14, 23, 24], [14, 23, 25], [14, 23, 28], [14, 24, 27], [14, 25, 27], [14, 25, 29], [14, 26, 27], [14, 26, 28], [14, 26, 29], [14, 27, 28], [14, 27, 29], [14, 27, 30], [14, 27, 31], [14, 30, 31], [15, 16, 20], [15, 16, 23], [15, 16, 30], [15, 17, 19], [15, 17, 20], [15, 17, 28], [15, 18, 20], [15, 18, 27], [15, 18, 30], [15, 19, 20], [15, 19, 27], [15, 19, 31], [15, 20, 23], [15, 20, 30], [15, 20, 31], [15, 21, 25], [15, 21, 27], [15, 22, 23], [15, 22, 28], [15, 23, 27], [15, 23, 28], [15, 23, 31], [15, 24, 25], [15, 24, 27], [15, 25, 27], [15, 26, 30], [15, 28, 30], [16, 17, 22], [16, 18, 21], [16, 18, 22], [16, 18, 27], [16, 18, 28], [16, 20, 24], [16, 20, 25], [16, 22, 23], [16, 23, 24], [16, 23, 30], [16, 25, 26], [16, 25, 31], [16, 26, 28], [16, 27, 28], [16, 28, 31], [16, 29, 30], [17, 18, 23], [17, 18, 29], [17, 18, 31], [17, 19, 26], [17, 19, 30], [17, 21, 22], [17, 21, 23], [17, 21, 26], [17, 25, 27], [17, 25, 28], [17, 25, 31], [17, 26, 31], [17, 27, 30], [17, 30, 31], [18, 21, 23], [18, 23, 26], [18, 25, 26], [18, 25, 29], [18, 26, 28], [18, 26, 31], [18, 27, 31], [19, 20, 21], [19, 20, 31], [19, 21, 29], [19, 22, 30], [19, 23, 24], [19, 24, 31], [19, 25, 26], [19, 25, 28], [19, 25, 31], [19, 26, 31], [19, 27, 30], [19, 28, 29], [19, 29, 30], [20, 21, 23], [20, 21, 29], [20, 22, 26], [20, 22, 29], [20, 23, 31], [20, 24, 25], [20, 24, 26], [20, 24, 28], [20, 24, 30], [20, 25, 27], [20, 25, 29], [20, 25, 30], [20, 25, 31], [20, 27, 29], [20, 27, 31], [21, 22, 25], [21, 22, 27], [21, 23, 26], [21, 24, 25], [21, 25, 26], [21, 25, 27], [21, 28, 30], [22, 23, 24], [22, 23, 28], [22, 25, 27], [22, 26, 30], [22, 27, 29], [23, 24, 27], [23, 25, 28], [23, 25, 29], [23, 25, 31], [23, 26, 31], [23, 27, 29], [24, 25, 26], [24, 25, 28], [24, 25, 29], [24, 26, 30], [24, 27, 29], [24, 27, 30], [24, 27, 31], [24, 28, 31], [24, 29, 31], [25, 26, 27], [25, 27, 30], [25, 28, 31], [26, 30, 31], [27, 28, 30], [28, 30, 31]]
# activation tensor and its vector representation are omitted.