Information on Result #58898

There is no OA(362, 83, S3, 40), because the linear programming bound shows that M ≥ 463 942350 761962 378112 632058 617109 511207 / 1197 196966 > 362

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(362, 83, S3, 2, 40) [i]Depth Reduction
2No OOA(362, 83, S3, 3, 40) [i]
3No OOA(362, 83, S3, 4, 40) [i]
4No OOA(362, 83, S3, 5, 40) [i]
5No (22, 62, 83)-net in base 3 [i]Extracting Embedded Orthogonal Array
6No linear OA(3182, 204, F3, 120) (dual of [204, 22, 121]-code) [i]Residual Code