Information on Result #58938

There is no OA(365, 86, S3, 42), because the linear programming bound shows that M ≥ 105639 517822 541973 415942 878050 095499 770611 / 8844 615395 > 365

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(365, 86, S3, 2, 42) [i]Depth Reduction
2No OOA(365, 86, S3, 3, 42) [i]
3No OOA(365, 86, S3, 4, 42) [i]
4No OOA(365, 86, S3, 5, 42) [i]
5No (23, 65, 86)-net in base 3 [i]Extracting Embedded Orthogonal Array
6No linear OA(3191, 213, F3, 126) (dual of [213, 22, 127]-code) [i]Residual Code