Information on Result #58737

There is no OA(346, 57, S3, 31), because the linear programming bound shows that M ≥ 109 838392 116853 446081 848097 / 11440 > 346

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(346, 57, S3, 2, 31) [i]Depth Reduction
2No OOA(346, 57, S3, 3, 31) [i]
3No OOA(346, 57, S3, 4, 31) [i]
4No OOA(346, 57, S3, 5, 31) [i]
5No (15, 46, 57)-net in base 3 [i]Extracting Embedded Orthogonal Array