Information on Result #59258
There is no OA(3116, 146, S3, 73), because the linear programming bound shows that M ≥ 4429 247306 617760 489204 086593 334014 244245 698002 651783 020636 205319 885138 080839 / 177 060239 926994 878648 > 3116
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(3116, 146, S3, 2, 73) | [i] | Depth Reduction | |
| 2 | No OOA(3116, 146, S3, 3, 73) | [i] | ||
| 3 | No OOA(3116, 146, S3, 4, 73) | [i] | ||
| 4 | No OOA(3116, 146, S3, 5, 73) | [i] | ||
| 5 | No (43, 116, 146)-net in base 3 | [i] | Extracting Embedded Orthogonal Array | |
| 6 | No linear OA(3117, 184, F3, 73) (dual of [184, 67, 74]-code) | [i] | Construction Y1 (Bound) | |