length n = 141
dimension k = 8
alphabet length q = 3
minimum distance d = 84
generator matrix:
0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 |
0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 0 |
0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 2 | 2 | 2 | 2 | 2 | 2 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 2 | 2 | 2 | 2 | 2 | 2 | 0 | 0 | 0 | 0 | 1 | 2 | 2 | 2 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 2 | 2 | 2 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 2 | 2 | 2 | 2 | 2 | 0 | 0 | 1 | 1 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 2 | 2 | 2 | 2 | 2 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 2 | 2 | 2 | 2 | 2 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 2 | 2 | 2 | 2 | 2 | 2 | 1 | 1 | 1 | 1 | 1 | 1 | 2 | 2 | 2 | 2 | 2 | 2 | 1 |
1 | 0 | 1 | 1 | 2 | 2 | 0 | 1 | 2 | 2 | 2 | 0 | 1 | 2 | 2 | 0 | 0 | 0 | 1 | 1 | 2 | 0 | 1 | 1 | 2 | 2 | 0 | 0 | 2 | 2 | 0 | 0 | 1 | 1 | 2 | 2 | 0 | 1 | 2 | 2 | 0 | 0 | 0 | 2 | 0 | 0 | 0 | 1 | 2 | 2 | 0 | 1 | 2 | 0 | 0 | 1 | 1 | 2 | 1 | 2 | 0 | 1 | 1 | 2 | 2 | 0 | 1 | 1 | 2 | 2 | 1 | 2 | 1 | 2 | 0 | 0 | 1 | 1 | 1 | 2 | 2 | 2 | 1 | 2 | 2 | 2 | 2 | 2 | 2 | 0 | 0 | 1 | 2 | 2 | 0 | 0 | 2 | 2 | 2 | 0 | 0 | 0 | 0 | 0 | 1 | 2 | 2 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 2 | 2 | 2 | 2 | 1 | 1 | 1 | 1 | 2 | 2 | 1 | 1 | 1 | 1 | 2 | 2 | 1 | 1 | 2 | 2 | 2 | 2 | 1 |
2 | 1 | 0 | 2 | 2 | 2 | 2 | 2 | 0 | 1 | 2 | 0 | 2 | 0 | 1 | 1 | 1 | 2 | 0 | 0 | 2 | 2 | 1 | 2 | 0 | 2 | 0 | 2 | 0 | 1 | 1 | 2 | 0 | 2 | 0 | 1 | 1 | 0 | 0 | 2 | 2 | 0 | 2 | 0 | 0 | 1 | 2 | 2 | 0 | 1 | 0 | 0 | 2 | 0 | 1 | 0 | 2 | 2 | 2 | 1 | 2 | 2 | 2 | 2 | 2 | 2 | 0 | 1 | 0 | 2 | 2 | 1 | 0 | 1 | 2 | 2 | 1 | 2 | 2 | 0 | 1 | 1 | 0 | 1 | 1 | 2 | 2 | 0 | 2 | 0 | 2 | 0 | 0 | 2 | 2 | 2 | 0 | 1 | 1 | 0 | 1 | 2 | 2 | 2 | 0 | 0 | 2 | 1 | 0 | 1 | 2 | 2 | 1 | 1 | 1 | 2 | 2 | 2 | 1 | 1 | 1 | 2 | 1 | 1 | 1 | 2 | 1 | 2 | 1 | 1 | 1 | 2 | 1 | 2 | 1 | 2 | 1 | 2 | 2 | 2 | 1 |
1 | 2 | 2 | 0 | 1 | 2 | 2 | 0 | 2 | 1 | 1 | 1 | 2 | 2 | 0 | 0 | 2 | 1 | 0 | 2 | 0 | 2 | 0 | 2 | 1 | 1 | 2 | 1 | 0 | 2 | 1 | 0 | 2 | 0 | 2 | 0 | 2 | 2 | 0 | 0 | 0 | 0 | 2 | 1 | 1 | 2 | 0 | 1 | 2 | 0 | 2 | 0 | 0 | 1 | 0 | 0 | 2 | 1 | 2 | 1 | 1 | 0 | 2 | 1 | 2 | 1 | 2 | 0 | 2 | 1 | 2 | 2 | 2 | 2 | 1 | 1 | 0 | 0 | 2 | 1 | 1 | 1 | 2 | 0 | 2 | 1 | 2 | 2 | 0 | 2 | 2 | 2 | 2 | 1 | 1 | 2 | 2 | 0 | 2 | 2 | 2 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 2 | 2 | 1 | 1 | 2 | 1 | 1 | 2 | 1 | 1 | 1 | 2 | 1 | 1 | 2 | 1 | 1 | 2 | 1 | 1 | 2 | 1 | 2 | 2 | 1 | 2 | 2 | 0 |
2 | 2 | 1 | 2 | 1 | 0 | 2 | 1 | 1 | 2 | 0 | 2 | 0 | 2 | 0 | 2 | 1 | 0 | 2 | 0 | 1 | 1 | 2 | 0 | 1 | 2 | 2 | 0 | 2 | 0 | 2 | 2 | 0 | 1 | 1 | 0 | 0 | 2 | 2 | 0 | 2 | 1 | 0 | 0 | 2 | 2 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 2 | 1 | 1 | 2 | 2 | 2 | 2 | 2 | 0 | 0 | 2 | 2 | 2 | 1 | 1 | 1 | 1 | 2 | 2 | 1 | 2 | 2 | 1 | 0 | 1 | 0 | 2 | 2 | 2 | 0 | 2 | 0 | 2 | 2 | 1 | 0 | 0 | 1 | 0 | 2 | 1 | 1 | 2 | 1 | 1 | 2 | 1 | 0 | 2 | 2 | 2 | 0 | 2 | 0 | 2 | 0 | 0 | 2 | 1 | 2 | 1 | 2 | 1 | 1 | 2 | 1 | 1 | 1 | 2 | 1 | 1 | 1 | 2 | 1 | 2 | 1 | 1 | 1 | 2 | 1 | 2 | 2 | 2 | 1 | 2 | 1 |
1 | 1 | 2 | 2 | 0 | 1 | 1 | 2 | 1 | 0 | 2 | 2 | 0 | 0 | 2 | 2 | 0 | 1 | 1 | 2 | 0 | 1 | 2 | 2 | 2 | 0 | 2 | 2 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 2 | 2 | 0 | 2 | 1 | 0 | 2 | 0 | 0 | 1 | 0 | 2 | 0 | 1 | 0 | 0 | 2 | 0 | 2 | 1 | 0 | 2 | 2 | 1 | 2 | 2 | 2 | 0 | 2 | 1 | 1 | 1 | 2 | 1 | 0 | 2 | 2 | 2 | 0 | 2 | 1 | 2 | 2 | 1 | 2 | 2 | 0 | 2 | 2 | 2 | 0 | 1 | 0 | 0 | 2 | 1 | 2 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 2 | 0 | 2 | 2 | 0 | 2 | 1 | 1 | 1 | 2 | 0 | 1 | 0 | 2 | 2 | 1 | 2 | 1 | 1 | 2 | 1 | 1 | 1 | 2 | 1 | 1 | 1 | 1 | 2 | 2 | 1 | 1 | 1 | 1 | 2 | 1 | 2 | 2 | 2 | 2 | 1 | 0 |
by adding the parity bit to 140