Information on Result #59202

There is no OA(3108, 148, S3, 67), because the linear programming bound shows that M ≥ 78025 871208 892313 168943 730744 500191 908721 562995 779216 058480 164902 383334 112359 / 18 249022 055379 161691 813025 > 3108

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(3108, 148, S3, 2, 67) [i]Depth Reduction
2No OOA(3108, 148, S3, 3, 67) [i]
3No OOA(3108, 148, S3, 4, 67) [i]
4No OOA(3108, 148, S3, 5, 67) [i]
5No (41, 108, 148)-net in base 3 [i]Extracting Embedded Orthogonal Array
6No linear OA(3109, 210, F3, 67) (dual of [210, 101, 68]-code) [i]Construction Y1 (Bound)