Information on Result #61718

There is no OA(857, 143, S8, 48), because the linear programming bound shows that M ≥ 190 985064 753536 783415 540055 724940 511688 609267 854149 980012 811177 522699 203995 216683 345415 477517 845634 149018 525542 929152 325252 846051 935020 646400 / 62932 939565 275725 062929 480250 138238 153761 800884 105653 558972 374012 885252 408461 608921 201687 > 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, 143, S8, 2, 48) [i]Depth Reduction
2No OOA(857, 143, S8, 3, 48) [i]
3No (9, 57, 143)-net in base 8 [i]Extracting Embedded Orthogonal Array