MinT - Information on Result #522126

Information on Result #522126

There is no (26, 98, 112)-net in base 4, because extracting embedded orthogonal array would yield OA(4⁹⁸, 112, S₄, 72), but

the linear programming bound shows that MÂ â‰¥ 1 166662 731140 735083 887873 150433 161508 032759 728734 208123 114163 798016 / 9 452405 > 4⁹⁸ [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		Method
1	No (26, 99, 112)-net in base 4	[i]	m-Reduction
2	No (26, 100, 112)-net in base 4	[i]
3	No (26, 101, 112)-net in base 4	[i]
4	No (26, 102, 112)-net in base 4	[i]
5	No (26, 103, 112)-net in base 4	[i]
6	No (26, 104, 112)-net in base 4	[i]
7	No (26, 105, 112)-net in base 4	[i]
8	No (26, 106, 112)-net in base 4	[i]
9	No (26, 107, 112)-net in base 4	[i]
10	No (26, 108, 112)-net in base 4	[i]
11	No (26, 109, 112)-net in base 4	[i]
12	No (26, 110, 112)-net in base 4	[i]
13	No (26, 111, 112)-net in base 4	[i]
14	No (26, 112, 112)-net in base 4	[i]
15	No (26, 113, 112)-net in base 4	[i]
16	No (26, 114, 112)-net in base 4	[i]
17	No (26, 115, 112)-net in base 4	[i]
18	No (26, 116, 112)-net in base 4	[i]
19	No (26, 117, 112)-net in base 4	[i]
20	No (26, 118, 112)-net in base 4	[i]
21	No (26, 119, 112)-net in base 4	[i]
22	No (26, 120, 112)-net in base 4	[i]
23	No (26, 121, 112)-net in base 4	[i]
24	No (26, 122, 112)-net in base 4	[i]
25	No (26, 123, 112)-net in base 4	[i]
26	No (26, 124, 112)-net in base 4	[i]
27	No (26, 125, 112)-net in base 4	[i]
28	No (26, 126, 112)-net in base 4	[i]
29	No (26, 127, 112)-net in base 4	[i]
30	No (26, 128, 112)-net in base 4	[i]
31	No (26, 129, 112)-net in base 4	[i]
32	No (26, 130, 112)-net in base 4	[i]
33	No (26, 131, 112)-net in base 4	[i]
34	No (26, 132, 112)-net in base 4	[i]
35	No (26, 133, 112)-net in base 4	[i]
36	No (26, 134, 112)-net in base 4	[i]
37	No (26, 135, 112)-net in base 4	[i]
38	No (26, 136, 112)-net in base 4	[i]
39	No (26, 137, 112)-net in base 4	[i]
40	No (26, 138, 112)-net in base 4	[i]
41	No (26, 139, 112)-net in base 4	[i]
42	No (26, 140, 112)-net in base 4	[i]
43	No (26, 141, 112)-net in base 4	[i]
44	No (26, 142, 112)-net in base 4	[i]
45	No (26, 143, 112)-net in base 4	[i]
46	No (26, 144, 112)-net in base 4	[i]
47	No (26, 145, 112)-net in base 4	[i]
48	No (26, 146, 112)-net in base 4	[i]
49	No (26, 147, 112)-net in base 4	[i]
50	No (26, 148, 112)-net in base 4	[i]
51	No (26, 149, 112)-net in base 4	[i]
52	No (26, 150, 112)-net in base 4	[i]
53	No (26, 151, 112)-net in base 4	[i]
54	No (26, 152, 112)-net in base 4	[i]
55	No (26, 153, 112)-net in base 4	[i]
56	No (26, 154, 112)-net in base 4	[i]
57	No (26, 155, 112)-net in base 4	[i]
58	No (26, 156, 112)-net in base 4	[i]
59	No (26, 157, 112)-net in base 4	[i]
60	No (26, 158, 112)-net in base 4	[i]
61	No (26, 159, 112)-net in base 4	[i]
62	No (26, 160, 112)-net in base 4	[i]
63	No (26, 161, 112)-net in base 4	[i]
64	No (26, 162, 112)-net in base 4	[i]
65	No (26, 163, 112)-net in base 4	[i]
66	No (26, 164, 112)-net in base 4	[i]
67	No (26, 165, 112)-net in base 4	[i]
68	No (26, 166, 112)-net in base 4	[i]
69	No (26, 167, 112)-net in base 4	[i]
70	No (26, 168, 112)-net in base 4	[i]
71	No (26, 169, 112)-net in base 4	[i]
72	No (26, 170, 112)-net in base 4	[i]
73	No (26, 171, 112)-net in base 4	[i]
74	No (26, 172, 112)-net in base 4	[i]
75	No (26, 173, 112)-net in base 4	[i]
76	No (26, 174, 112)-net in base 4	[i]
77	No (26, 175, 112)-net in base 4	[i]
78	No (26, 176, 112)-net in base 4	[i]
79	No (26, 177, 112)-net in base 4	[i]
80	No (26, 178, 112)-net in base 4	[i]
81	No (26, 179, 112)-net in base 4	[i]
82	No (26, 180, 112)-net in base 4	[i]
83	No (26, 181, 112)-net in base 4	[i]
84	No (26, 182, 112)-net in base 4	[i]
85	No (26, 183, 112)-net in base 4	[i]
86	No (26, 184, 112)-net in base 4	[i]
87	No (26, 185, 112)-net in base 4	[i]