Information on Result #58991

There is no OA(372, 97, S3, 46), because the linear programming bound shows that M ≥ 27848 335335 870397 950530 479039 339751 613066 604593 / 1 016088 552625 > 372

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(372, 97, S3, 2, 46) [i]Depth Reduction
2No OOA(372, 97, S3, 3, 46) [i]
3No OOA(372, 97, S3, 4, 46) [i]
4No OOA(372, 97, S3, 5, 46) [i]
5No (26, 72, 97)-net in base 3 [i]Extracting Embedded Orthogonal Array
6No linear OA(3210, 236, F3, 138) (dual of [236, 26, 139]-code) [i]Residual Code