Information on Result #59037
There is no OA(378, 93, S3, 51), because the linear programming bound shows that M ≥ 2117 985825 855951 548682 979121 686352 501183 391624 / 117 447583 > 378
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(379, 94, S3, 52) | [i] | Truncation | |
| 2 | No OOA(379, 93, S3, 2, 52) | [i] | m-Reduction for OOAs | |
| 3 | No OOA(378, 93, S3, 2, 51) | [i] | Depth Reduction | |
| 4 | No OOA(378, 93, S3, 3, 51) | [i] | ||
| 5 | No OOA(378, 93, S3, 4, 51) | [i] | ||
| 6 | No OOA(378, 93, S3, 5, 51) | [i] | ||
| 7 | No (27, 78, 93)-net in base 3 | [i] | Extracting Embedded Orthogonal Array | |
| 8 | No linear OA(3231, 247, F3, 153) (dual of [247, 16, 154]-code) | [i] | Residual Code | |