Information on Result #62843

There is no OA(2590, 96, S25, 87), because the linear programming bound shows that M ≥ 13 668865 221078 739256 015071 809629 879850 936124 576679 322503 501034 318504 064092 312472 780759 593604 486823 448240 784273 366443 812847 137451 171875 / 20 559539 > 2590

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(2591, 97, S25, 88) [i]Truncation
2No OA(2592, 98, S25, 89) [i]
3No OOA(2591, 96, S25, 2, 88) [i]m-Reduction for OOAs
4No OOA(2592, 96, S25, 2, 89) [i]
5No OOA(2593, 96, S25, 2, 90) [i]
6No OOA(2594, 96, S25, 2, 91) [i]
7No OOA(2595, 96, S25, 2, 92) [i]
8No OOA(2596, 96, S25, 2, 93) [i]
9No OOA(2597, 96, S25, 2, 94) [i]
10No OOA(2598, 96, S25, 2, 95) [i]
11No OOA(2599, 96, S25, 2, 96) [i]
12No OOA(25100, 96, S25, 2, 97) [i]
13No OOA(25101, 96, S25, 2, 98) [i]
14No OOA(25102, 96, S25, 2, 99) [i]
15No OOA(25103, 96, S25, 2, 100) [i]
16No OOA(25104, 96, S25, 2, 101) [i]
17No OOA(25105, 96, S25, 2, 102) [i]
18No OOA(25106, 96, S25, 2, 103) [i]
19No OOA(25107, 96, S25, 2, 104) [i]
20No OOA(25108, 96, S25, 2, 105) [i]
21No OOA(25109, 96, S25, 2, 106) [i]
22No OOA(25110, 96, S25, 2, 107) [i]
23No OOA(2590, 96, S25, 2, 87) [i]Depth Reduction
24No (3, 90, 96)-net in base 25 [i]Extracting Embedded Orthogonal Array
25No linear OA(2524, 114, F25, 23) (dual of [114, 90, 24]-code) [i]Construction Y1 (Bound)