MinT - Information on Result #522722

Information on Result #522722

There is no (25, 116, 129)-net in base 5, because extracting embedded orthogonal array would yield OA(5¹¹⁶, 129, S₅, 91), but

the linear programming bound shows that MÂ â‰¥ 11 958351 050689 163710 066275 542623 394170 276397 455664 717239 809391 458038 589917 123317 718505 859375 / 9241 308483 > 5¹¹⁶ [i]

Mode: Bound.

Optimality

Show details for fixed k and m, k and s, k and t, m and s, m and t, t and s.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

	Result		This result only	Method
1	No (25, 117, 129)-net in base 5	[i]		m-Reduction
2	No (25, 118, 129)-net in base 5	[i]
3	No (25, 119, 129)-net in base 5	[i]
4	No (25, 120, 129)-net in base 5	[i]
5	No (25, 121, 129)-net in base 5	[i]
6	No (25, 122, 129)-net in base 5	[i]
7	No (25, 123, 129)-net in base 5	[i]
8	No (25, 124, 129)-net in base 5	[i]
9	No (25, 125, 129)-net in base 5	[i]
10	No (25, 126, 129)-net in base 5	[i]
11	No (25, 127, 129)-net in base 5	[i]
12	No (25, 128, 129)-net in base 5	[i]
13	No (25, 129, 129)-net in base 5	[i]
14	No (25, 130, 129)-net in base 5	[i]
15	No (25, 131, 129)-net in base 5	[i]
16	No (25, 132, 129)-net in base 5	[i]
17	No (25, 133, 129)-net in base 5	[i]
18	No (25, 134, 129)-net in base 5	[i]
19	No (25, 135, 129)-net in base 5	[i]
20	No (25, 136, 129)-net in base 5	[i]
21	No (25, 137, 129)-net in base 5	[i]
22	No (25, 138, 129)-net in base 5	[i]
23	No (25, 139, 129)-net in base 5	[i]
24	No (25, 140, 129)-net in base 5	[i]
25	No (25, 141, 129)-net in base 5	[i]
26	No (25, 142, 129)-net in base 5	[i]
27	No (25, 143, 129)-net in base 5	[i]
28	No (25, 144, 129)-net in base 5	[i]
29	No (25, 145, 129)-net in base 5	[i]
30	No (25, 146, 129)-net in base 5	[i]
31	No (25, 147, 129)-net in base 5	[i]
32	No (25, 148, 129)-net in base 5	[i]
33	No (25, 149, 129)-net in base 5	[i]
34	No (25, 150, 129)-net in base 5	[i]