length n = 57
dimension k = 5
alphabet length q = 4

minimum distance d = 40

generator matrix:
000010011100111011110011100111001110111111111111111111110
000100101301012101231100311001110011012211112312233222231
001001012010301113201302023010230103301311231121233233331
010001320032300131012010303302202032230313232112113112222
100002300331020310210321010320012301223013212321131331313

by adding the parity bit to 56