Information on Result #58786
There is no OA(353, 82, S3, 34), because the linear programming bound shows that M ≥ 109 763126 725714 200014 609915 641908 532996 574841 / 4 714638 489586 850000 > 353
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(353, 82, S3, 2, 34) | [i] | Depth Reduction | |
| 2 | No OOA(353, 82, S3, 3, 34) | [i] | ||
| 3 | No OOA(353, 82, S3, 4, 34) | [i] | ||
| 4 | No OOA(353, 82, S3, 5, 34) | [i] | ||
| 5 | No (19, 53, 82)-net in base 3 | [i] | Extracting Embedded Orthogonal Array | |
| 6 | No linear OA(3155, 185, F3, 102) (dual of [185, 30, 103]-code) | [i] | Residual Code | |