MinT - Information on Result #521827

Information on Result #521827

There is no (9, 40, 46)-net in base 4, because extracting embedded orthogonal array would yield OA(4⁴⁰, 46, S₄, 31), but

the linear programming bound shows that MÂ â‰¥ 976 812062 248620 373162 590208 / 703 > 4⁴⁰ [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 (9, 41, 46)-net in base 4	[i]		m-Reduction
2	No (9, 42, 46)-net in base 4	[i]
3	No (9, 43, 46)-net in base 4	[i]
4	No (9, 44, 46)-net in base 4	[i]
5	No (9, 45, 46)-net in base 4	[i]
6	No (9, 46, 46)-net in base 4	[i]
7	No (9, 47, 46)-net in base 4	[i]
8	No (9, 48, 46)-net in base 4	[i]
9	No (9, 49, 46)-net in base 4	[i]
10	No (9, 50, 46)-net in base 4	[i]
11	No (9, 51, 46)-net in base 4	[i]
12	No (9, 52, 46)-net in base 4	[i]
13	No (9, 53, 46)-net in base 4	[i]
14	No (9, 54, 46)-net in base 4	[i]
15	No (9, 55, 46)-net in base 4	[i]
16	No (9, 56, 46)-net in base 4	[i]
17	No (9, 57, 46)-net in base 4	[i]
18	No (9, 58, 46)-net in base 4	[i]
19	No (9, 59, 46)-net in base 4	[i]
20	No (9, 60, 46)-net in base 4	[i]
21	No (9, 61, 46)-net in base 4	[i]
22	No (9, 62, 46)-net in base 4	[i]
23	No (9, 63, 46)-net in base 4	[i]
24	No (9, 64, 46)-net in base 4	[i]
25	No (9, 65, 46)-net in base 4	[i]
26	No (9, 66, 46)-net in base 4	[i]
27	No (9, 67, 46)-net in base 4	[i]
28	No (9, 68, 46)-net in base 4	[i]
29	No (9, 69, 46)-net in base 4	[i]
30	No (9, 70, 46)-net in base 4	[i]
31	No (9, 71, 46)-net in base 4	[i]
32	No (9, 72, 46)-net in base 4	[i]
33	No (9, 73, 46)-net in base 4	[i]
34	No (9, 74, 46)-net in base 4	[i]