Information on Result #58937

There is no OA(364, 79, S3, 42), because the linear programming bound shows that M ≥ 1127 088319 766791 916099 558651 458916 971683 / 304 050635 > 364

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(364, 79, S3, 2, 42) [i]Depth Reduction
2No OOA(364, 79, S3, 3, 42) [i]
3No OOA(364, 79, S3, 4, 42) [i]
4No OOA(364, 79, S3, 5, 42) [i]
5No (22, 64, 79)-net in base 3 [i]Extracting Embedded Orthogonal Array
6No linear OA(3190, 206, F3, 126) (dual of [206, 16, 127]-code) [i]Residual Code