Information on Result #59112
There is no OA(390, 109, S3, 58), because the linear programming bound shows that M ≥ 358434 929911 206151 179681 665349 770871 279285 973437 096147 / 37465 778977 > 390
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(391, 110, S3, 59) | [i] | Truncation | |
| 2 | No OOA(391, 109, S3, 2, 59) | [i] | m-Reduction for OOAs | |
| 3 | No OOA(390, 109, S3, 2, 58) | [i] | Depth Reduction | |
| 4 | No OOA(390, 109, S3, 3, 58) | [i] | ||
| 5 | No OOA(390, 109, S3, 4, 58) | [i] | ||
| 6 | No OOA(390, 109, S3, 5, 58) | [i] | ||
| 7 | No (32, 90, 109)-net in base 3 | [i] | Extracting Embedded Orthogonal Array | |