Information on Result #59018
There is no OA(375, 90, S3, 49), because the linear programming bound shows that M ≥ 7 865942 474943 247001 112000 197553 099948 432417 / 12 714325 > 375
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(376, 91, S3, 50) | [i] | Truncation | |
| 2 | No OOA(376, 90, S3, 2, 50) | [i] | m-Reduction for OOAs | |
| 3 | No OOA(375, 90, S3, 2, 49) | [i] | Depth Reduction | |
| 4 | No OOA(375, 90, S3, 3, 49) | [i] | ||
| 5 | No OOA(375, 90, S3, 4, 49) | [i] | ||
| 6 | No OOA(375, 90, S3, 5, 49) | [i] | ||
| 7 | No (26, 75, 90)-net in base 3 | [i] | Extracting Embedded Orthogonal Array | |
| 8 | No linear OA(3222, 238, F3, 147) (dual of [238, 16, 148]-code) | [i] | Residual Code | |