Information on Result #61688

There is no OA(857, 266, S8, 44), because the linear programming bound shows that M ≥ 1 684753 441256 018563 644208 435329 831620 893657 736079 913241 531945 649699 562746 759364 660080 108939 072931 627008 000000 / 553 240987 174121 362400 387850 355619 178756 956683 316452 020781 > 857

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(857, 266, S8, 2, 44) [i]Depth Reduction
2No OOA(857, 266, S8, 3, 44) [i]
3No (13, 57, 266)-net in base 8 [i]Extracting Embedded Orthogonal Array