Information on Result #58823
There is no OA(356, 82, S3, 36), because the linear programming bound shows that M ≥ 22 210757 880743 651212 289611 731958 871349 324330 / 41077 125622 806623 > 356
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(356, 82, S3, 2, 36) | [i] | Depth Reduction | |
| 2 | No OOA(356, 82, S3, 3, 36) | [i] | ||
| 3 | No OOA(356, 82, S3, 4, 36) | [i] | ||
| 4 | No OOA(356, 82, S3, 5, 36) | [i] | ||
| 5 | No (20, 56, 82)-net in base 3 | [i] | Extracting Embedded Orthogonal Array | |
| 6 | No linear OA(3164, 191, F3, 108) (dual of [191, 27, 109]-code) | [i] | Residual Code | |