Information on Result #59111

There is no OA(389, 105, S3, 58), because the linear programming bound shows that M ≥ 256 129902 432927 359640 404231 835988 695464 485658 001855 / 65 963711 > 389

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(389, 105, S3, 2, 58) [i]Depth Reduction
2No OOA(389, 105, S3, 3, 58) [i]
3No OOA(389, 105, S3, 4, 58) [i]
4No OOA(389, 105, S3, 5, 58) [i]
5No (31, 89, 105)-net in base 3 [i]Extracting Embedded Orthogonal Array