length n = 111
dimension k = 5
alphabet length q = 5
minimum distance d = 85
generator matrix:
| 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 |
| 0 | 0 | 1 | 1 | 2 | 3 | 3 | 3 | 4 | 4 | 4 | 0 | 0 | 1 | 0 | 2 | 2 | 2 | 3 | 3 | 4 | 4 | 1 | 1 | 0 | 0 | 0 | 1 | 2 | 3 | 3 | 4 | 4 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 2 | 2 | 3 | 4 | 1 | 0 | 1 | 2 | 2 | 3 | 3 | 3 | 4 | 4 | 4 | 1 | 1 | 0 | 1 | 1 | 3 | 3 | 3 | 4 | 4 | 4 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 3 | 4 | 1 | 1 | 1 | 1 | 2 | 3 | 3 | 3 | 4 | 4 | 4 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 3 | 4 | 1 | 0 | 0 | 1 | 1 | 1 | 2 | 3 | 3 | 4 | 4 | 4 |
| 0 | 1 | 1 | 2 | 0 | 1 | 2 | 2 | 0 | 3 | 3 | 1 | 1 | 0 | 0 | 0 | 2 | 3 | 2 | 3 | 1 | 1 | 0 | 3 | 2 | 2 | 2 | 0 | 1 | 2 | 3 | 3 | 3 | 0 | 2 | 4 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 4 | 1 | 0 | 3 | 0 | 1 | 3 | 0 | 1 | 3 | 1 | 2 | 3 | 1 | 2 | 0 | 1 | 1 | 0 | 0 | 4 | 1 | 2 | 1 | 2 | 2 | 4 | 0 | 1 | 3 | 0 | 2 | 2 | 3 | 3 | 2 | 4 | 0 | 1 | 3 | 0 | 1 | 2 | 2 | 1 | 3 | 3 | 0 | 2 | 3 | 3 | 3 | 4 | 2 | 2 | 2 | 3 | 0 | 1 | 2 | 2 | 2 | 3 | 3 | 4 | 4 |
| 1 | 2 | 1 | 2 | 1 | 0 | 1 | 3 | 1 | 1 | 3 | 3 | 4 | 4 | 1 | 2 | 1 | 1 | 2 | 3 | 1 | 4 | 0 | 4 | 2 | 3 | 4 | 3 | 2 | 4 | 1 | 3 | 3 | 4 | 2 | 2 | 1 | 2 | 3 | 0 | 4 | 2 | 0 | 3 | 1 | 1 | 3 | 2 | 2 | 4 | 2 | 0 | 3 | 1 | 1 | 2 | 0 | 0 | 4 | 1 | 0 | 3 | 4 | 1 | 2 | 3 | 4 | 0 | 2 | 0 | 4 | 2 | 3 | 2 | 2 | 3 | 0 | 0 | 1 | 2 | 0 | 0 | 1 | 2 | 1 | 3 | 3 | 2 | 3 | 4 | 1 | 2 | 2 | 0 | 0 | 0 | 3 | 0 | 2 | 4 | 4 | 0 | 1 | 3 | 4 | 0 | 3 | 3 | 2 | 1 | 2 |
| 2 | 2 | 3 | 1 | 4 | 1 | 2 | 2 | 0 | 3 | 1 | 2 | 3 | 1 | 4 | 3 | 3 | 3 | 1 | 0 | 0 | 4 | 1 | 1 | 0 | 3 | 4 | 1 | 4 | 0 | 2 | 0 | 4 | 4 | 4 | 2 | 0 | 1 | 3 | 2 | 3 | 2 | 2 | 0 | 2 | 0 | 4 | 0 | 4 | 1 | 2 | 1 | 0 | 4 | 4 | 0 | 4 | 2 | 0 | 3 | 4 | 1 | 2 | 3 | 1 | 2 | 0 | 2 | 0 | 0 | 1 | 3 | 0 | 3 | 1 | 3 | 0 | 0 | 4 | 1 | 0 | 1 | 1 | 4 | 0 | 2 | 4 | 1 | 2 | 2 | 0 | 1 | 2 | 3 | 0 | 1 | 0 | 4 | 2 | 0 | 3 | 1 | 1 | 2 | 1 | 3 | 1 | 4 | 2 | 4 | 3 |
by adding the parity bit to 110