MinT - Information on Result #522867

Information on Result #522867

There is no (4, 35, 40)-net in base 7, because extracting embedded orthogonal array would yield OA(7³⁵, 40, S₇, 31), but

the linear programming bound shows that MÂ â‰¥ 18 562115 921017 574302 453163 671207 / 37 > 7³⁵ [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 (4, 36, 40)-net in base 7	[i]		m-Reduction
2	No (4, 37, 40)-net in base 7	[i]
3	No (4, 38, 40)-net in base 7	[i]
4	No (4, 39, 40)-net in base 7	[i]
5	No (4, 40, 40)-net in base 7	[i]
6	No (4, 41, 40)-net in base 7	[i]
7	No (4, 42, 40)-net in base 7	[i]
8	No (4, 43, 40)-net in base 7	[i]
9	No (4, 44, 40)-net in base 7	[i]
10	No (4, 45, 40)-net in base 7	[i]
11	No (4, 46, 40)-net in base 7	[i]
12	No (4, 47, 40)-net in base 7	[i]
13	No (4, 48, 40)-net in base 7	[i]
14	No (4, 49, 40)-net in base 7	[i]
15	No (4, 50, 40)-net in base 7	[i]
16	No (4, 51, 40)-net in base 7	[i]
17	No (4, 52, 40)-net in base 7	[i]
18	No (4, 53, 40)-net in base 7	[i]
19	No (4, 54, 40)-net in base 7	[i]
20	No (4, 55, 40)-net in base 7	[i]
21	No (4, 56, 40)-net in base 7	[i]
22	No (4, 57, 40)-net in base 7	[i]
23	No (4, 58, 40)-net in base 7	[i]
24	No (4, 59, 40)-net in base 7	[i]
25	No (4, 60, 40)-net in base 7	[i]
26	No (4, 61, 40)-net in base 7	[i]
27	No (4, 62, 40)-net in base 7	[i]
28	No (4, 63, 40)-net in base 7	[i]
29	No (4, 64, 40)-net in base 7	[i]
30	No (4, 65, 40)-net in base 7	[i]
31	No (4, 66, 40)-net in base 7	[i]
32	No (4, 67, 40)-net in base 7	[i]
33	No (4, 68, 40)-net in base 7	[i]
34	No (4, 69, 40)-net in base 7	[i]
35	No (4, 70, 40)-net in base 7	[i]
36	No (4, 71, 40)-net in base 7	[i]
37	No (4, 72, 40)-net in base 7	[i]
38	No (4, 73, 40)-net in base 7	[i]