Information on Result #61417

There is no OA(799, 110, S7, 84), because the linear programming bound shows that M ≥ 1760 091261 324378 929559 119960 831347 616737 731471 918661 084961 859631 948665 704893 020113 817143 785727 / 3453 329204 > 799

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 OA(7100, 111, S7, 85) [i]Truncation
2No OA(7101, 112, S7, 86) [i]
3No OA(7102, 113, S7, 87) [i]
4No OOA(7100, 110, S7, 2, 85) [i]m-Reduction for OOAs
5No OOA(7101, 110, S7, 2, 86) [i]
6No OOA(7102, 110, S7, 2, 87) [i]
7No OOA(7103, 110, S7, 2, 88) [i]
8No OOA(7104, 110, S7, 2, 89) [i]
9No OOA(7105, 110, S7, 2, 90) [i]
10No OOA(7106, 110, S7, 2, 91) [i]
11No OOA(7107, 110, S7, 2, 92) [i]
12No OOA(7108, 110, S7, 2, 93) [i]
13No OOA(7109, 110, S7, 2, 94) [i]
14No OOA(7110, 110, S7, 2, 95) [i]
15No OOA(799, 110, S7, 2, 84) [i]Depth Reduction
16No OOA(799, 110, S7, 3, 84) [i]
17No (15, 99, 110)-net in base 7 [i]Extracting Embedded Orthogonal Array