Information on Result #61436

There is no OA(7107, 139, S7, 89), because the linear programming bound shows that M ≥ 862080 025230 419856 632269 021355 394647 895057 556840 618631 538059 882178 178522 212684 288412 456748 423895 330272 156793 249746 516692 912219 / 289031 882246 646903 904066 733411 920000 > 7107

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(7107, 139, S7, 2, 89) [i]Depth Reduction
2No OOA(7107, 139, S7, 3, 89) [i]
3No (18, 107, 139)-net in base 7 [i]Extracting Embedded Orthogonal Array