length n = 31
dimension k = 7
alphabet length q = 4

minimum distance d = 16

generator matrix:
0010111111011111111111111111111
0101012233101223311111122223333
1002320123323230111222311121333
0003303212220312323112312211133
0002132302312303213122321213311
0003221330233021223221112113313
0001233021132132023211321123131

by truncation of 32