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:

ResultThis
result
only
Method
1No OOA(357, 92, S3, 2, 36) [i]Depth Reduction
2No OOA(357, 92, S3, 3, 36) [i]
3No OOA(357, 92, S3, 4, 36) [i]
4No OOA(357, 92, S3, 5, 36) [i]
5No (21, 57, 92)-net in base 3 [i]Extracting Embedded Orthogonal Array
6No linear OA(3165, 201, F3, 108) (dual of [201, 36, 109]-code) [i]Residual Code