Information on Result #60504

There is no OA(555, 178, S5, 39), because the linear programming bound shows that M ≥ 129528 891661 910196 243633 459864 806229 659887 937133 151434 460887 685418 128967 285156 250000 000000 / 439 613336 040751 796831 131594 618709 092431 449161 340209 > 555

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(555, 178, S5, 2, 39) [i]Depth Reduction
2No OOA(555, 178, S5, 3, 39) [i]
3No (16, 55, 178)-net in base 5 [i]Extracting Embedded Orthogonal Array