Information on Result #60648

There is no OA(576, 300, S5, 51), because the linear programming bound shows that M ≥ 237 093698 815934 923988 017019 139393 100344 855851 776989 247815 621981 025377 616810 146719 217300 415039 062500 000000 000000 000000 / 1654 484829 899024 668832 595818 748726 582640 089399 871965 785049 707797 > 576

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.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

ResultThis
result
only
Method
1No OA(575, 299, S5, 51) [i]Code Embedding in Larger Space
2No OOA(576, 300, S5, 2, 51) [i]Depth Reduction
3No OOA(576, 300, S5, 3, 51) [i]
4No (25, 76, 300)-net in base 5 [i]Extracting Embedded Orthogonal Array