Information on Result #4894

There is no OA(327, 30, S3, 20), because the (dual) Plotkin bound shows that M ≥ 68 630377 364883 / 7 > 327

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 OA(328, 31, S3, 21) [i]Truncation
2No OA(329, 32, S3, 22) [i]
3No OA(330, 33, S3, 23) [i]
4No OOA(327, 30, S3, 2, 20) [i]Depth Reduction
5No OOA(327, 30, S3, 3, 20) [i]
6No OOA(327, 30, S3, 4, 20) [i]
7No OOA(327, 30, S3, 5, 20) [i]
8No (7, 27, 30)-net in base 3 [i]Extracting Embedded Orthogonal Array