Information on Result #61890
There is no OA(8106, 126, S8, 91), because the linear programming bound shows that M ≥ 293 187232 858468 601478 195121 704673 897819 671593 603287 520903 422450 275883 600667 509529 168717 037019 908153 862692 395005 509632 / 543 414185 869329 742359 > 8106
Mode: Bound.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | No OOA(8106, 126, S8, 2, 91) | [i] | Depth Reduction | |
| 2 | No OOA(8106, 126, S8, 3, 91) | [i] | ||
| 3 | No (15, 106, 126)-net in base 8 | [i] | Extracting Embedded Orthogonal Array | |
| 4 | No linear OA(8107, 246, F8, 91) (dual of [246, 139, 92]-code) | [i] | Construction Y1 (Bound) | |
| 5 | No linear OA(8107, 236, F8, 91) (dual of [236, 129, 92]-code) | [i] | ||