Information on Result #58824
There is no OA(357, 92, S3, 36), because the linear programming bound shows that M ≥ 120 721890 049904 553965 455860 898229 550534 869060 685567 / 70191 477994 212742 316032 > 357
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(357, 92, S3, 2, 36) | [i] | Depth Reduction | |
2 | No OOA(357, 92, S3, 3, 36) | [i] | ||
3 | No OOA(357, 92, S3, 4, 36) | [i] | ||
4 | No OOA(357, 92, S3, 5, 36) | [i] | ||
5 | No (21, 57, 92)-net in base 3 | [i] | Extracting Embedded Orthogonal Array | |
6 | No linear OA(3165, 201, F3, 108) (dual of [201, 36, 109]-code) | [i] | Residual Code |