Information on Result #60624

There is no OA(567, 190, S5, 48), because the linear programming bound shows that M ≥ 139 124959 067603 873322 973848 261999 902938 721401 487962 196427 958905 932685 857275 222943 487399 518687 652744 119986 891746 520996 093750 000000 000000 / 1945 405900 784912 155706 111127 555122 141815 117656 438746 607270 389576 779617 403604 841411 250557 > 567

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(568, 191, S5, 49) [i]Truncation
2No OA(569, 192, S5, 50) [i]
3No OA(570, 193, S5, 51) [i]
4No OA(571, 194, S5, 52) [i]
5No OA(572, 195, S5, 53) [i]
6No OA(573, 196, S5, 54) [i]
7No OA(574, 197, S5, 55) [i]
8No OA(575, 198, S5, 56) [i]
9No OOA(568, 190, S5, 2, 49) [i]m-Reduction for OOAs
10No OOA(569, 190, S5, 2, 50) [i]
11No OOA(570, 190, S5, 2, 51) [i]
12No OOA(571, 190, S5, 2, 52) [i]
13No OOA(572, 190, S5, 2, 53) [i]
14No OOA(573, 190, S5, 2, 54) [i]
15No OOA(574, 190, S5, 2, 55) [i]
16No OOA(575, 190, S5, 2, 56) [i]
17No OOA(567, 190, S5, 2, 48) [i]Depth Reduction
18No OOA(567, 190, S5, 3, 48) [i]
19No (19, 67, 190)-net in base 5 [i]Extracting Embedded Orthogonal Array