MinT - Information on Result #517271

Information on Result #517271

There is no (0, 2, 66)-net in base 64, because the generalized Rao bound for nets shows that 64^mÂ â‰¥ 4159 > 64²

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

Mutually Orthogonal Hypercube Bound [i]

Depending Results

The following results depend on this result:

	Result		Method
1	No (0, 3, 66)-net in base 64	[i]	m-Reduction
2	No (0, 4, 66)-net in base 64	[i]
3	No (0, 5, 66)-net in base 64	[i]
4	No (0, 6, 66)-net in base 64	[i]
5	No (0, 7, 66)-net in base 64	[i]
6	No (0, 8, 66)-net in base 64	[i]
7	No (0, 9, 66)-net in base 64	[i]
8	No (0, 10, 66)-net in base 64	[i]
9	No (0, 11, 66)-net in base 64	[i]
10	No (0, 12, 66)-net in base 64	[i]
11	No (0, 13, 66)-net in base 64	[i]
12	No (0, 14, 66)-net in base 64	[i]
13	No (0, 15, 66)-net in base 64	[i]
14	No (0, 16, 66)-net in base 64	[i]
15	No (0, 17, 66)-net in base 64	[i]
16	No (0, 18, 66)-net in base 64	[i]
17	No (0, 19, 66)-net in base 64	[i]
18	No (0, 20, 66)-net in base 64	[i]
19	No (0, 21, 66)-net in base 64	[i]
20	No (0, 22, 66)-net in base 64	[i]
21	No (0, 23, 66)-net in base 64	[i]
22	No (0, 24, 66)-net in base 64	[i]
23	No (0, 25, 66)-net in base 64	[i]
24	No (0, 26, 66)-net in base 64	[i]
25	No (0, 27, 66)-net in base 64	[i]
26	No (0, 28, 66)-net in base 64	[i]
27	No (0, 29, 66)-net in base 64	[i]
28	No (0, 30, 66)-net in base 64	[i]
29	No (0, 31, 66)-net in base 64	[i]
30	No (0, 32, 66)-net in base 64	[i]
31	No (0, 33, 66)-net in base 64	[i]
32	No (0, 34, 66)-net in base 64	[i]
33	No (0, 35, 66)-net in base 64	[i]
34	No (0, 36, 66)-net in base 64	[i]
35	No (0, 37, 66)-net in base 64	[i]
36	No (0, 38, 66)-net in base 64	[i]
37	No (0, 39, 66)-net in base 64	[i]
38	No (0, 40, 66)-net in base 64	[i]
39	No (0, 41, 66)-net in base 64	[i]
40	No (0, 42, 66)-net in base 64	[i]
41	No (0, 43, 66)-net in base 64	[i]
42	No (0, 44, 66)-net in base 64	[i]
43	No (0, 45, 66)-net in base 64	[i]
44	No (0, 46, 66)-net in base 64	[i]
45	No (0, 47, 66)-net in base 64	[i]
46	No (0, 48, 66)-net in base 64	[i]
47	No (0, 49, 66)-net in base 64	[i]
48	No (0, 50, 66)-net in base 64	[i]
49	No (0, 51, 66)-net in base 64	[i]
50	No (0, 52, 66)-net in base 64	[i]
51	No (0, 53, 66)-net in base 64	[i]
52	No (0, 54, 66)-net in base 64	[i]
53	No (0, 55, 66)-net in base 64	[i]
54	No (0, 56, 66)-net in base 64	[i]
55	No (0, 57, 66)-net in base 64	[i]
56	No (0, 58, 66)-net in base 64	[i]
57	No (0, 59, 66)-net in base 64	[i]
58	No (0, 60, 66)-net in base 64	[i]
59	No (0, 61, 66)-net in base 64	[i]
60	No (0, 62, 66)-net in base 64	[i]
61	No (0, 63, 66)-net in base 64	[i]
62	No (0, 64, 66)-net in base 64	[i]
63	No (0, 65, 66)-net in base 64	[i]
64	No (0, 66, 66)-net in base 64	[i]
65	No (0, 67, 66)-net in base 64	[i]
66	No (0, 68, 66)-net in base 64	[i]
67	No (0, 69, 66)-net in base 64	[i]
68	No (0, 70, 66)-net in base 64	[i]
69	No (0, 71, 66)-net in base 64	[i]
70	No (0, 72, 66)-net in base 64	[i]
71	No (0, 73, 66)-net in base 64	[i]
72	No (0, 74, 66)-net in base 64	[i]
73	No (0, 75, 66)-net in base 64	[i]
74	No (0, 76, 66)-net in base 64	[i]
75	No (0, 77, 66)-net in base 64	[i]
76	No (0, 78, 66)-net in base 64	[i]
77	No (0, 79, 66)-net in base 64	[i]
78	No (0, 80, 66)-net in base 64	[i]
79	No (0, 81, 66)-net in base 64	[i]
80	No (0, 82, 66)-net in base 64	[i]
81	No (0, 83, 66)-net in base 64	[i]
82	No (0, 84, 66)-net in base 64	[i]
83	No (0, 85, 66)-net in base 64	[i]
84	No (0, 86, 66)-net in base 64	[i]
85	No (0, 87, 66)-net in base 64	[i]
86	No (0, 88, 66)-net in base 64	[i]
87	No (0, 89, 66)-net in base 64	[i]
88	No (0, 90, 66)-net in base 64	[i]
89	No (0, 91, 66)-net in base 64	[i]
90	No (0, m, 66)-net in base 64 for arbitrarily large m	[i]	m-Reduction from Arbitrarily Large Net