Information on Result #58784
There is no OA(351, 65, S3, 34), because the linear programming bound shows that M ≥ 342 054256 122719 546156 841781 498869 / 115 101637 > 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, 65, S3, 2, 34) | [i] | Depth Reduction | |
| 2 | No OOA(351, 65, S3, 3, 34) | [i] | ||
| 3 | No OOA(351, 65, S3, 4, 34) | [i] | ||
| 4 | No OOA(351, 65, S3, 5, 34) | [i] | ||
| 5 | No (17, 51, 65)-net in base 3 | [i] | Extracting Embedded Orthogonal Array | |
| 6 | No linear OA(3153, 168, F3, 102) (dual of [168, 15, 103]-code) | [i] | Residual Code | |
| 7 | No linear OA(316, 67, F3, 9) (dual of [67, 51, 10]-code) | [i] | Construction Y1 (Bound) | |