Information on Result #58822

There is no OA(355, 73, S3, 36), because the linear programming bound shows that M ≥ 418845 330644 374396 228543 975709 282088 / 1987 676075 > 355

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(355, 73, S3, 2, 36) [i]Depth Reduction
2No OOA(355, 73, S3, 3, 36) [i]
3No OOA(355, 73, S3, 4, 36) [i]
4No OOA(355, 73, S3, 5, 36) [i]
5No (19, 55, 73)-net in base 3 [i]Extracting Embedded Orthogonal Array
6No linear OA(3163, 182, F3, 108) (dual of [182, 19, 109]-code) [i]Residual Code