Information on Result #58967
There is no OA(366, 77, S3, 44), because the linear programming bound shows that M ≥ 34 245670 463812 538347 598340 341640 500169 / 1 016275 > 366
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(367, 78, S3, 45) | [i] | Truncation | |
| 2 | No OOA(367, 77, S3, 2, 45) | [i] | m-Reduction for OOAs | |
| 3 | No OOA(366, 77, S3, 2, 44) | [i] | Depth Reduction | |
| 4 | No OOA(366, 77, S3, 3, 44) | [i] | ||
| 5 | No OOA(366, 77, S3, 4, 44) | [i] | ||
| 6 | No OOA(366, 77, S3, 5, 44) | [i] | ||
| 7 | No (22, 66, 77)-net in base 3 | [i] | Extracting Embedded Orthogonal Array | |
| 8 | No linear OA(3198, 210, F3, 132) (dual of [210, 12, 133]-code) | [i] | Residual Code | |