Information on Result #58841
There is no OA(356, 70, S3, 37), because the linear programming bound shows that M ≥ 185 546099 770621 322782 066734 120777 / 337535 > 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 OA(357, 71, S3, 38) | [i] | Truncation | |
| 2 | No OOA(357, 70, S3, 2, 38) | [i] | m-Reduction for OOAs | |
| 3 | No OOA(356, 70, S3, 2, 37) | [i] | Depth Reduction | |
| 4 | No OOA(356, 70, S3, 3, 37) | [i] | ||
| 5 | No OOA(356, 70, S3, 4, 37) | [i] | ||
| 6 | No OOA(356, 70, S3, 5, 37) | [i] | ||
| 7 | No (19, 56, 70)-net in base 3 | [i] | Extracting Embedded Orthogonal Array | |
| 8 | No linear OA(3167, 182, F3, 111) (dual of [182, 15, 112]-code) | [i] | Residual Code | |