Information on Result #58917

There is no OA(362, 76, S3, 41), because the linear programming bound shows that M ≥ 347660 486804 616889 071607 220289 701250 / 818741 > 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, 76, S3, 2, 41) [i]Depth Reduction
2No OOA(362, 76, S3, 3, 41) [i]
3No OOA(362, 76, S3, 4, 41) [i]
4No OOA(362, 76, S3, 5, 41) [i]
5No (21, 62, 76)-net in base 3 [i]Extracting Embedded Orthogonal Array
6No linear OA(3185, 200, F3, 123) (dual of [200, 15, 124]-code) [i]Residual Code