Information on Result #60570

There is no OA(561, 172, S5, 44), because the linear programming bound shows that M ≥ 573561 146432 903261 890838 697976 018502 051321 280095 810222 935128 477655 949281 466109 163264 253112 402002 443559 467792 510986 328125 / 128335 467227 255294 979113 150037 859458 130647 507283 557206 569267 900642 480552 611997 > 561

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(561, 172, S5, 2, 44) [i]Depth Reduction
2No OOA(561, 172, S5, 3, 44) [i]
3No (17, 61, 172)-net in base 5 [i]Extracting Embedded Orthogonal Array