Information on Result #58717

There is no OA(344, 54, S3, 30), because the linear programming bound shows that M ≥ 12540 959946 988972 873227 479781 / 10 308089 > 344

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(344, 54, S3, 2, 30) [i]Depth Reduction
2No OOA(344, 54, S3, 3, 30) [i]
3No OOA(344, 54, S3, 4, 30) [i]
4No OOA(344, 54, S3, 5, 30) [i]
5No (14, 44, 54)-net in base 3 [i]Extracting Embedded Orthogonal Array