Information on Result #58772
There is no OA(351, 74, S3, 33), because the linear programming bound shows that M ≥ 123 263670 768810 287673 347725 757839 680807 / 56 048467 475000 > 351
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 OOA(351, 74, S3, 2, 33) | [i] | Depth Reduction | |
| 2 | No OOA(351, 74, S3, 3, 33) | [i] | ||
| 3 | No OOA(351, 74, S3, 4, 33) | [i] | ||
| 4 | No OOA(351, 74, S3, 5, 33) | [i] | ||
| 5 | No (18, 51, 74)-net in base 3 | [i] | Extracting Embedded Orthogonal Array | |
| 6 | No linear OA(3150, 174, F3, 99) (dual of [174, 24, 100]-code) | [i] | Residual Code | |