Information on Result #58879
There is no OA(359, 73, S3, 39), because the linear programming bound shows that M ≥ 575447 637759 001874 791324 271023 513509 / 37 398920 > 359
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(360, 74, S3, 40) | [i] | Truncation | |
| 2 | No OOA(360, 73, S3, 2, 40) | [i] | m-Reduction for OOAs | |
| 3 | No OOA(359, 73, S3, 2, 39) | [i] | Depth Reduction | |
| 4 | No OOA(359, 73, S3, 3, 39) | [i] | ||
| 5 | No OOA(359, 73, S3, 4, 39) | [i] | ||
| 6 | No OOA(359, 73, S3, 5, 39) | [i] | ||
| 7 | No (20, 59, 73)-net in base 3 | [i] | Extracting Embedded Orthogonal Array | |
| 8 | No linear OA(3176, 191, F3, 117) (dual of [191, 15, 118]-code) | [i] | Residual Code | |