Information on Result #58718

There is no OA(345, 59, S3, 30), because the linear programming bound shows that M ≥ 15711 197460 636193 905236 899365 / 4 636174 > 345

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(345, 59, S3, 2, 30) [i]Depth Reduction
2No OOA(345, 59, S3, 3, 30) [i]
3No OOA(345, 59, S3, 4, 30) [i]
4No OOA(345, 59, S3, 5, 30) [i]
5No (15, 45, 59)-net in base 3 [i]Extracting Embedded Orthogonal Array