Information on Result #58658

There is no OA(337, 44, S3, 26), because the linear programming bound shows that M ≥ 12 157665 459056 928801 / 17 > 337

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(339, 44, S3, 2, 28) [i]m-Reduction for OOAs
2No OOA(337, 44, S3, 2, 26) [i]Depth Reduction
3No OOA(337, 44, S3, 3, 26) [i]
4No OOA(337, 44, S3, 4, 26) [i]
5No OOA(337, 44, S3, 5, 26) [i]
6No (11, 37, 44)-net in base 3 [i]Extracting Embedded Orthogonal Array