MinT - Information on Result #521839

Information on Result #521839

There is no (10, 44, 50)-net in base 4, because extracting embedded orthogonal array would yield OA(4⁴⁴, 50, S₄, 34), but

the linear programming bound shows that MÂ â‰¥ 713053 462628 379038 341895 553024 / 2009 > 4⁴⁴ [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 (10, 45, 50)-net in base 4	[i]		m-Reduction
2	No (10, 46, 50)-net in base 4	[i]
3	No (10, 47, 50)-net in base 4	[i]
4	No (10, 48, 50)-net in base 4	[i]
5	No (10, 49, 50)-net in base 4	[i]
6	No (10, 50, 50)-net in base 4	[i]
7	No (10, 51, 50)-net in base 4	[i]
8	No (10, 52, 50)-net in base 4	[i]
9	No (10, 53, 50)-net in base 4	[i]
10	No (10, 54, 50)-net in base 4	[i]
11	No (10, 55, 50)-net in base 4	[i]
12	No (10, 56, 50)-net in base 4	[i]
13	No (10, 57, 50)-net in base 4	[i]
14	No (10, 58, 50)-net in base 4	[i]
15	No (10, 59, 50)-net in base 4	[i]
16	No (10, 60, 50)-net in base 4	[i]
17	No (10, 61, 50)-net in base 4	[i]
18	No (10, 62, 50)-net in base 4	[i]
19	No (10, 63, 50)-net in base 4	[i]
20	No (10, 64, 50)-net in base 4	[i]
21	No (10, 65, 50)-net in base 4	[i]
22	No (10, 66, 50)-net in base 4	[i]
23	No (10, 67, 50)-net in base 4	[i]
24	No (10, 68, 50)-net in base 4	[i]
25	No (10, 69, 50)-net in base 4	[i]
26	No (10, 70, 50)-net in base 4	[i]
27	No (10, 71, 50)-net in base 4	[i]
28	No (10, 72, 50)-net in base 4	[i]
29	No (10, 73, 50)-net in base 4	[i]
30	No (10, 74, 50)-net in base 4	[i]
31	No (10, 75, 50)-net in base 4	[i]
32	No (10, 76, 50)-net in base 4	[i]
33	No (10, 77, 50)-net in base 4	[i]
34	No (10, 78, 50)-net in base 4	[i]
35	No (10, 79, 50)-net in base 4	[i]
36	No (10, 80, 50)-net in base 4	[i]