Information on Result #61696

There is no OA(858, 263, S8, 45), because the linear programming bound shows that M ≥ 217902 256011 434052 266543 822862 202906 517259 848891 912853 344002 415033 548978 571281 068650 640851 300624 102703 759360 000000 / 8 968414 884886 931244 580807 274592 807979 029293 166233 756794 516421 > 858

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 OOA(858, 263, S8, 2, 45) [i]Depth Reduction
2No OOA(858, 263, S8, 3, 45) [i]
3No (13, 58, 263)-net in base 8 [i]Extracting Embedded Orthogonal Array