MinT - Information on Result #523820

Information on Result #523820

There is no (2, 45, 49)-net in base 16, because extracting embedded orthogonal array would yield OA(16⁴⁵, 49, S₁₆, 43), but

the linear programming bound shows that MÂ â‰¥ 79 689768 125026 220634 634045 411816 077548 174434 353547 313152 / 47 > 16⁴⁵ [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 (2, 46, 49)-net in base 16	[i]	m-Reduction
2	No (2, 47, 49)-net in base 16	[i]
3	No (2, 48, 49)-net in base 16	[i]
4	No (2, 49, 49)-net in base 16	[i]
5	No (2, 50, 49)-net in base 16	[i]
6	No (2, 51, 49)-net in base 16	[i]
7	No (2, 52, 49)-net in base 16	[i]
8	No (2, 53, 49)-net in base 16	[i]
9	No (2, 54, 49)-net in base 16	[i]
10	No (2, 55, 49)-net in base 16	[i]
11	No (2, 56, 49)-net in base 16	[i]
12	No (2, 57, 49)-net in base 16	[i]
13	No (2, 58, 49)-net in base 16	[i]
14	No (2, 59, 49)-net in base 16	[i]
15	No (2, 60, 49)-net in base 16	[i]
16	No (2, 61, 49)-net in base 16	[i]
17	No (2, 62, 49)-net in base 16	[i]
18	No (2, 63, 49)-net in base 16	[i]
19	No (2, 64, 49)-net in base 16	[i]
20	No (2, 65, 49)-net in base 16	[i]
21	No (2, 66, 49)-net in base 16	[i]
22	No (2, 67, 49)-net in base 16	[i]
23	No (2, 68, 49)-net in base 16	[i]
24	No (2, 69, 49)-net in base 16	[i]
25	No (2, 70, 49)-net in base 16	[i]
26	No (2, 71, 49)-net in base 16	[i]
27	No (2, 72, 49)-net in base 16	[i]
28	No (2, 73, 49)-net in base 16	[i]
29	No (2, 74, 49)-net in base 16	[i]
30	No (2, 75, 49)-net in base 16	[i]
31	No (2, 76, 49)-net in base 16	[i]
32	No (2, 77, 49)-net in base 16	[i]
33	No (2, 78, 49)-net in base 16	[i]
34	No (2, 79, 49)-net in base 16	[i]
35	No (2, 80, 49)-net in base 16	[i]
36	No (2, 81, 49)-net in base 16	[i]
37	No (2, 82, 49)-net in base 16	[i]
38	No (2, 83, 49)-net in base 16	[i]
39	No (2, 84, 49)-net in base 16	[i]
40	No (2, 85, 49)-net in base 16	[i]
41	No (2, 86, 49)-net in base 16	[i]
42	No (2, 87, 49)-net in base 16	[i]
43	No (2, 88, 49)-net in base 16	[i]
44	No (2, 89, 49)-net in base 16	[i]
45	No (2, 90, 49)-net in base 16	[i]
46	No (2, 91, 49)-net in base 16	[i]
47	No (2, 92, 49)-net in base 16	[i]
48	No (2, 93, 49)-net in base 16	[i]
49	No (2, 94, 49)-net in base 16	[i]
50	No (2, 95, 49)-net in base 16	[i]
51	No (2, 96, 49)-net in base 16	[i]
52	No (2, 97, 49)-net in base 16	[i]
53	No (2, 98, 49)-net in base 16	[i]
54	No (2, 99, 49)-net in base 16	[i]
55	No (2, 100, 49)-net in base 16	[i]
56	No (2, 101, 49)-net in base 16	[i]
57	No (2, 102, 49)-net in base 16	[i]
58	No (2, 103, 49)-net in base 16	[i]
59	No (2, 104, 49)-net in base 16	[i]
60	No (2, 105, 49)-net in base 16	[i]
61	No (2, 106, 49)-net in base 16	[i]
62	No (2, 107, 49)-net in base 16	[i]
63	No (2, 108, 49)-net in base 16	[i]
64	No (2, 109, 49)-net in base 16	[i]
65	No (2, 110, 49)-net in base 16	[i]
66	No (2, 111, 49)-net in base 16	[i]
67	No (2, 112, 49)-net in base 16	[i]
68	No (2, 113, 49)-net in base 16	[i]
69	No (2, 114, 49)-net in base 16	[i]
70	No (2, 115, 49)-net in base 16	[i]
71	No (2, 116, 49)-net in base 16	[i]
72	No (2, 117, 49)-net in base 16	[i]
73	No (2, 118, 49)-net in base 16	[i]
74	No (2, 119, 49)-net in base 16	[i]
75	No (2, 120, 49)-net in base 16	[i]
76	No (2, 121, 49)-net in base 16	[i]
77	No (2, 122, 49)-net in base 16	[i]
78	No (2, 123, 49)-net in base 16	[i]
79	No (2, 124, 49)-net in base 16	[i]
80	No (2, 125, 49)-net in base 16	[i]
81	No (2, 126, 49)-net in base 16	[i]
82	No (2, 127, 49)-net in base 16	[i]
83	No (2, 128, 49)-net in base 16	[i]
84	No (2, 129, 49)-net in base 16	[i]
85	No (2, 130, 49)-net in base 16	[i]
86	No (2, m, 49)-net in base 16 for arbitrarily large m	[i]	m-Reduction from Arbitrarily Large Net