Information on Result #63730

There is no OOA(5139, 71, S5, 2, 125), because the (dual) Plotkin bound for OOAs shows that M ≥ 932 704257 854598 242406 834410 637768 176980 142348 513008 897681 504649 757044 944635 708816 349506 378173 828125 / 63 > 5139

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(5140, 72, S5, 2, 126) [i]Truncation for OOAs
2No OOA(5141, 72, S5, 2, 127) [i]
3No OOA(5142, 73, S5, 2, 128) [i]
4No OOA(5143, 73, S5, 2, 129) [i]
5No OOA(5144, 74, S5, 2, 130) [i]
6No OOA(5145, 74, S5, 2, 131) [i]
7No OOA(5146, 75, S5, 2, 132) [i]
8No OOA(5147, 75, S5, 2, 133) [i]
9No OOA(5148, 76, S5, 2, 134) [i]
10No OOA(5149, 76, S5, 2, 135) [i]
11No OOA(5150, 77, S5, 2, 136) [i]
12No OOA(5140, 71, S5, 3, 126) [i]m-Reduction for OOAs
13No OOA(5141, 71, S5, 3, 127) [i]
14No OOA(5142, 71, S5, 3, 128) [i]
15No OOA(5143, 71, S5, 3, 129) [i]
16No OOA(5144, 71, S5, 3, 130) [i]
17No OOA(5145, 71, S5, 3, 131) [i]
18No OOA(5146, 71, S5, 3, 132) [i]
19No OOA(5147, 71, S5, 3, 133) [i]
20No OOA(5148, 71, S5, 3, 134) [i]
21No OOA(5149, 71, S5, 3, 135) [i]
22No OOA(5150, 71, S5, 3, 136) [i]
23No OOA(5139, 71, S5, 3, 125) [i]Depth Reduction
24No (14, 139, 71)-net in base 5 [i]Extracting Embedded OOA