Information on Result #60376

There is no OA(536, 51, S5, 29), because the linear programming bound shows that M ≥ 33434 143915 656022 727489 471435 546875 / 2262 304863 > 536

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(536, 51, S5, 2, 29) [i]Depth Reduction
2No OOA(536, 51, S5, 3, 29) [i]
3No (7, 36, 51)-net in base 5 [i]Extracting Embedded Orthogonal Array