Information on Result #60502

There is no OA(553, 140, S5, 39), because the linear programming bound shows that M ≥ 15797 706962 756455 435925 942967 079189 858744 896047 398586 831387 374586 098383 722543 303520 069457 590579 986572 265625 / 1404 451882 069680 664381 950768 964914 157064 632742 400081 090096 232135 809289 > 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, 140, S5, 2, 39) [i]Depth Reduction
2No OOA(553, 140, S5, 3, 39) [i]
3No (14, 53, 140)-net in base 5 [i]Extracting Embedded Orthogonal Array