Information on Result #59158

There is no OA(397, 113, S3, 63), because the linear programming bound shows that M ≥ 203 778832 248021 875784 169145 873391 215846 198657 212886 451207 / 9419 125760 > 397

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(399, 113, S3, 2, 65) [i]m-Reduction for OOAs
2No OOA(397, 113, S3, 2, 63) [i]Depth Reduction
3No OOA(397, 113, S3, 3, 63) [i]
4No OOA(397, 113, S3, 4, 63) [i]
5No OOA(397, 113, S3, 5, 63) [i]
6No (34, 97, 113)-net in base 3 [i]Extracting Embedded Orthogonal Array