Information on Result #61168

There is no OA(748, 137, S7, 39), because the linear programming bound shows that M ≥ 3634 622082 341968 144354 451302 618954 379598 431252 689595 662542 322982 590659 679383 326226 735462 000000 / 96171 216555 119780 182912 851149 442416 995574 869805 886037 > 748

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(748, 137, S7, 2, 39) [i]Depth Reduction
2No OOA(748, 137, S7, 3, 39) [i]
3No (9, 48, 137)-net in base 7 [i]Extracting Embedded Orthogonal Array