length n = 123
dimension k = 4
alphabet length q = 9
minimum distance d = 106
generator matrix:
| 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 | 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 | 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 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 2 | 2 | 2 | 2 | 3 | 3 | 4 | 4 | 4 | 4 | 4 | 5 | 5 | 5 | 5 | 6 | 6 | 6 | 7 | 7 | 7 | 7 | 7 | 8 | 8 | 8 | 8 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 2 | 2 | 2 | 2 | 2 | 2 | 3 | 3 | 3 | 3 | 4 | 4 | 4 | 5 | 5 | 5 | 5 | 5 | 5 | 6 | 6 | 6 | 8 | 8 | 8 | 8 | 8 | 8 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 2 | 2 | 2 | 3 | 3 | 3 | 3 | 3 | 4 | 4 | 4 | 4 | 4 | 4 | 5 | 5 | 5 | 6 | 6 | 6 | 6 | 6 | 6 | 8 | 8 | 8 |
| 1 | 1 | 1 | 2 | 4 | 7 | 0 | 2 | 5 | 5 | 8 | 4 | 5 | 7 | 0 | 0 | 3 | 8 | 0 | 7 | 1 | 1 | 2 | 4 | 6 | 1 | 5 | 7 | 8 | 5 | 7 | 7 | 0 | 0 | 1 | 4 | 5 | 0 | 2 | 2 | 7 | 1 | 1 | 5 | 6 | 6 | 8 | 8 | 3 | 5 | 5 | 1 | 1 | 7 | 0 | 1 | 1 | 2 | 2 | 7 | 1 | 1 | 5 | 7 | 2 | 3 | 5 | 0 | 2 | 2 | 6 | 6 | 7 | 0 | 1 | 5 | 0 | 2 | 2 | 3 | 6 | 7 | 1 | 2 | 2 | 0 | 0 | 1 | 1 | 3 | 6 | 3 | 3 | 6 | 6 | 7 | 8 | 5 | 5 | 7 | 0 | 2 | 2 | 5 | 7 | 2 | 3 | 4 | 5 | 6 | 6 | 0 | 3 | 7 | 0 | 1 | 3 | 3 | 5 | 6 | 0 | 6 | 7 |
| 2 | 7 | 4 | 0 | 6 | 0 | 6 | 1 | 3 | 8 | 6 | 0 | 5 | 5 | 0 | 6 | 1 | 5 | 4 | 7 | 4 | 7 | 8 | 8 | 0 | 1 | 2 | 7 | 1 | 4 | 6 | 8 | 0 | 7 | 4 | 7 | 2 | 3 | 1 | 6 | 2 | 8 | 1 | 2 | 1 | 5 | 0 | 2 | 8 | 4 | 5 | 0 | 8 | 7 | 4 | 4 | 8 | 2 | 5 | 2 | 1 | 4 | 3 | 3 | 3 | 8 | 8 | 2 | 0 | 5 | 1 | 7 | 1 | 8 | 0 | 0 | 0 | 0 | 3 | 4 | 4 | 7 | 7 | 5 | 7 | 4 | 8 | 1 | 3 | 5 | 1 | 1 | 4 | 7 | 8 | 0 | 1 | 0 | 5 | 0 | 2 | 2 | 7 | 4 | 1 | 7 | 7 | 5 | 3 | 2 | 5 | 7 | 5 | 2 | 3 | 3 | 1 | 2 | 8 | 2 | 7 | 5 | 3 |
projective group of automorphisms generated by: