Information on Result #60317

There is no OA(528, 40, S5, 23), because the linear programming bound shows that M ≥ 9969 272650 778293 609619 140625 / 261 134328 > 528

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(528, 40, S5, 2, 23) [i]Depth Reduction
2No OOA(528, 40, S5, 3, 23) [i]
3No (5, 28, 40)-net in base 5 [i]Extracting Embedded Orthogonal Array
4No linear OA(513, 41, F5, 10) (dual of [41, 28, 11]-code) [i]Construction Y1 (Bound)