Information on Result #58752

There is no OA(349, 69, S3, 32), because the linear programming bound shows that M ≥ 216581 757923 721967 421601 778838 750385 / 815783 089121 > 349

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(349, 69, S3, 2, 32) [i]Depth Reduction
2No OOA(349, 69, S3, 3, 32) [i]
3No OOA(349, 69, S3, 4, 32) [i]
4No OOA(349, 69, S3, 5, 32) [i]
5No (17, 49, 69)-net in base 3 [i]Extracting Embedded Orthogonal Array
6No linear OA(3145, 166, F3, 96) (dual of [166, 21, 97]-code) [i]Residual Code