Information on Result #60478

There is no OA(552, 168, S5, 37), because the linear programming bound shows that M ≥ 347 703493 821347 666054 839450 253497 835097 802322 624269 021677 045913 065740 023739 635944 366455 078125 / 141 997676 783544 632149 282153 069793 812520 701866 031308 159181 > 552

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(552, 168, S5, 2, 37) [i]Depth Reduction
2No OOA(552, 168, S5, 3, 37) [i]
3No (15, 52, 168)-net in base 5 [i]Extracting Embedded Orthogonal Array