Information on Result #61277

There is no OA(763, 191, S7, 50), because the linear programming bound shows that M ≥ 1546 656467 224859 842887 981514 622928 628845 010308 476857 250636 511791 494639 882610 915125 941329 017991 447474 997780 955993 395167 734335 889066 511289 351740 816250 / 8321 117215 862883 682551 397462 523193 233196 670318 520045 231419 117539 569361 618123 026216 299968 870299 > 763

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(764, 192, S7, 51) [i]Truncation
2No OA(765, 193, S7, 52) [i]
3No OA(766, 194, S7, 53) [i]
4No OA(767, 195, S7, 54) [i]
5No OA(768, 196, S7, 55) [i]
6No OA(769, 197, S7, 56) [i]
7No OA(770, 198, S7, 57) [i]
8No OA(771, 199, S7, 58) [i]
9No OA(772, 200, S7, 59) [i]
10No OA(773, 201, S7, 60) [i]
11No OOA(764, 191, S7, 2, 51) [i]m-Reduction for OOAs
12No OOA(765, 191, S7, 2, 52) [i]
13No OOA(766, 191, S7, 2, 53) [i]
14No OOA(767, 191, S7, 2, 54) [i]
15No OOA(768, 191, S7, 2, 55) [i]
16No OOA(769, 191, S7, 2, 56) [i]
17No OOA(770, 191, S7, 2, 57) [i]
18No OOA(771, 191, S7, 2, 58) [i]
19No OOA(772, 191, S7, 2, 59) [i]
20No OOA(773, 191, S7, 2, 60) [i]
21No OOA(763, 191, S7, 2, 50) [i]Depth Reduction
22No OOA(763, 191, S7, 3, 50) [i]
23No (13, 63, 191)-net in base 7 [i]Extracting Embedded Orthogonal Array