Information on Result #58751

There is no OA(348, 62, S3, 32), because the linear programming bound shows that M ≥ 1 700614 902981 463452 338656 221369 / 16 713125 > 348

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(348, 62, S3, 2, 32) [i]Depth Reduction
2No OOA(348, 62, S3, 3, 32) [i]
3No OOA(348, 62, S3, 4, 32) [i]
4No OOA(348, 62, S3, 5, 32) [i]
5No (16, 48, 62)-net in base 3 [i]Extracting Embedded Orthogonal Array
6No linear OA(3144, 159, F3, 96) (dual of [159, 15, 97]-code) [i]Residual Code