Information on Result #60543

There is no OA(558, 163, S5, 42), because the linear programming bound shows that M ≥ 810111 164040 136487 609679 121433 873314 027710 260207 654089 958066 056936 604582 006111 741065 979003 906250 000000 / 22 687613 637537 440105 518528 572996 788117 051942 664989 897620 858627 > 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, 163, S5, 2, 42) [i]Depth Reduction
2No OOA(558, 163, S5, 3, 42) [i]
3No (16, 58, 163)-net in base 5 [i]Extracting Embedded Orthogonal Array