Information on Result #59017

There is no OA(374, 86, S3, 49), because the linear programming bound shows that M ≥ 33848 221935 885216 439383 055137 261775 150629 / 151525 > 374

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(376, 86, S3, 2, 51) [i]m-Reduction for OOAs
2No OOA(374, 86, S3, 2, 49) [i]Depth Reduction
3No OOA(374, 86, S3, 3, 49) [i]
4No OOA(374, 86, S3, 4, 49) [i]
5No OOA(374, 86, S3, 5, 49) [i]
6No (25, 74, 86)-net in base 3 [i]Extracting Embedded Orthogonal Array
7No linear OA(3221, 234, F3, 147) (dual of [234, 13, 148]-code) [i]Residual Code