length n = 32
dimension k = 10
alphabet length q = 2

minimum distance d = 12

generator matrix:
00000000000000011111111111111110
00000000000111100000000111111110
00000000111011100000111000001110
00111111001101101111001001110110
00000011011010100111111010111000
01011111100111001000000111011000
10100101101000010011111001111000
11001111110011000011011011111010
11101000011111111001010111010110
00100001101001110100101101110110

by adding the parity bit to 31