Information on Result #61298

There is no OA(766, 122, S7, 55), because the linear programming bound shows that M ≥ 37079 616886 430573 106530 371695 955888 720032 761391 449532 270606 747505 739945 258421 557427 872844 227479 466385 003509 360768 817453 637208 818090 558037 161385 364518 328602 / 618 800815 150652 930422 169446 148769 641355 591201 475540 708208 629083 267738 964025 118675 409624 717118 018615 > 766

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(766, 122, S7, 2, 55) [i]Depth Reduction
2No OOA(766, 122, S7, 3, 55) [i]
3No (11, 66, 122)-net in base 7 [i]Extracting Embedded Orthogonal Array