H_X (18 checks, sparse supports)
[0, 12, 24, 36, 43]
[1, 13, 25, 37, 42, 43]
[2, 14, 26, 38, 44]
[3, 15, 27, 39, 42, 44]
[4, 16, 28, 40, 43, 44]
[5, 17, 29, 41, 42, 43, 44]
[6, 12, 30, 36, 46]
[7, 13, 31, 37, 45, 46]
[8, 14, 32, 38, 47]
[9, 15, 33, 39, 45, 47]
[10, 16, 34, 40, 46, 47]
[11, 17, 35, 41, 45, 46, 47]
[18, 24, 30, 36, 49]
[19, 25, 31, 37, 48, 49]
[20, 26, 32, 38, 50]
[21, 27, 33, 39, 48, 50]
[22, 28, 34, 40, 49, 50]
[23, 29, 35, 41, 48, 49, 50]
H_Z (21 checks, sparse supports)
[1, 3, 5, 42]
[0, 1, 4, 5, 43]
[2, 3, 4, 5, 44]
[7, 9, 11, 45]
[6, 7, 10, 11, 46]
[8, 9, 10, 11, 47]
[13, 15, 17, 42, 45]
[12, 13, 16, 17, 43, 46]
[14, 15, 16, 17, 44, 47]
[19, 21, 23, 48]
[18, 19, 22, 23, 49]
[20, 21, 22, 23, 50]
[25, 27, 29, 42, 48]
[24, 25, 28, 29, 43, 49]
[26, 27, 28, 29, 44, 50]
[31, 33, 35, 45, 48]
[30, 31, 34, 35, 46, 49]
[32, 33, 34, 35, 47, 50]
[37, 39, 41, 42, 45, 48]
[36, 37, 40, 41, 43, 46, 49]
[38, 39, 40, 41, 44, 47, 50]