Information on Result #60555

There is no OA(558, 141, S5, 43), because the linear programming bound shows that M ≥ 1591 576286 023843 781170 746136 002297 993825 547570 593206 378640 998725 013830 463633 279691 813374 538867 398050 378199 059196 049347 519874 572753 906250 000000 / 45454 293771 604069 763210 603226 553233 374660 739934 352611 432932 184144 831489 178003 786054 826732 574131 319969 > 558

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(558, 141, S5, 2, 43) [i]Depth Reduction
2No OOA(558, 141, S5, 3, 43) [i]
3No (15, 58, 141)-net in base 5 [i]Extracting Embedded Orthogonal Array