MinT - Information on Result #521851

Information on Result #521851

There is no (11, 48, 54)-net in base 4, because extracting embedded orthogonal array would yield OA(4⁴⁸, 54, S₄, 37), but

the linear programming bound shows that MÂ â‰¥ 5 070602 400912 917605 986812 821504 / 55 > 4⁴⁸ [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 (11, 49, 54)-net in base 4	[i]		m-Reduction
2	No (11, 50, 54)-net in base 4	[i]
3	No (11, 51, 54)-net in base 4	[i]
4	No (11, 52, 54)-net in base 4	[i]
5	No (11, 53, 54)-net in base 4	[i]
6	No (11, 54, 54)-net in base 4	[i]
7	No (11, 55, 54)-net in base 4	[i]
8	No (11, 56, 54)-net in base 4	[i]
9	No (11, 57, 54)-net in base 4	[i]
10	No (11, 58, 54)-net in base 4	[i]
11	No (11, 59, 54)-net in base 4	[i]
12	No (11, 60, 54)-net in base 4	[i]
13	No (11, 61, 54)-net in base 4	[i]
14	No (11, 62, 54)-net in base 4	[i]
15	No (11, 63, 54)-net in base 4	[i]
16	No (11, 64, 54)-net in base 4	[i]
17	No (11, 65, 54)-net in base 4	[i]
18	No (11, 66, 54)-net in base 4	[i]
19	No (11, 67, 54)-net in base 4	[i]
20	No (11, 68, 54)-net in base 4	[i]
21	No (11, 69, 54)-net in base 4	[i]
22	No (11, 70, 54)-net in base 4	[i]
23	No (11, 71, 54)-net in base 4	[i]
24	No (11, 72, 54)-net in base 4	[i]
25	No (11, 73, 54)-net in base 4	[i]
26	No (11, 74, 54)-net in base 4	[i]
27	No (11, 75, 54)-net in base 4	[i]
28	No (11, 76, 54)-net in base 4	[i]
29	No (11, 77, 54)-net in base 4	[i]
30	No (11, 78, 54)-net in base 4	[i]
31	No (11, 79, 54)-net in base 4	[i]
32	No (11, 80, 54)-net in base 4	[i]
33	No (11, 81, 54)-net in base 4	[i]
34	No (11, 82, 54)-net in base 4	[i]
35	No (11, 83, 54)-net in base 4	[i]
36	No (11, 84, 54)-net in base 4	[i]
37	No (11, 85, 54)-net in base 4	[i]
38	No (11, 86, 54)-net in base 4	[i]
39	No (11, 87, 54)-net in base 4	[i]