Information on Result #60490

There is no OA(553, 163, S5, 38), because the linear programming bound shows that M ≥ 4136 952007 035305 632138 883691 790616 889219 074384 945301 394594 707744 545303 285121 917724 609375 / 360 510811 697524 902708 831132 056182 094445 736159 819828 > 553

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(553, 163, S5, 2, 38) [i]Depth Reduction
2No OOA(553, 163, S5, 3, 38) [i]
3No (15, 53, 163)-net in base 5 [i]Extracting Embedded Orthogonal Array