MinT - Information on Result #518341

Information on Result #518341

There is no (3, 33, 1262)-net in base 81, because the generalized Rao bound for nets shows that 81^mÂ â‰¥ 960 934719 264550 944393 380295 088367 484948 083778 718903 440754 570401 > 81³³

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 (3, 34, 1262)-net in base 81	[i]	m-Reduction
2	No (3, 35, 1262)-net in base 81	[i]
3	No (3, 36, 1262)-net in base 81	[i]
4	No (3, 37, 1262)-net in base 81	[i]
5	No (3, 38, 1262)-net in base 81	[i]
6	No (3, 39, 1262)-net in base 81	[i]
7	No (3, 40, 1262)-net in base 81	[i]
8	No (3, 41, 1262)-net in base 81	[i]
9	No (3, 42, 1262)-net in base 81	[i]
10	No (3, 43, 1262)-net in base 81	[i]
11	No (3, 44, 1262)-net in base 81	[i]
12	No (3, 45, 1262)-net in base 81	[i]
13	No (3, 46, 1262)-net in base 81	[i]
14	No (3, 47, 1262)-net in base 81	[i]
15	No (3, 48, 1262)-net in base 81	[i]
16	No (3, 49, 1262)-net in base 81	[i]
17	No (3, 50, 1262)-net in base 81	[i]
18	No (3, 51, 1262)-net in base 81	[i]
19	No (3, 52, 1262)-net in base 81	[i]
20	No (3, 53, 1262)-net in base 81	[i]
21	No (3, 54, 1262)-net in base 81	[i]
22	No (3, 55, 1262)-net in base 81	[i]
23	No (3, 56, 1262)-net in base 81	[i]
24	No (3, 57, 1262)-net in base 81	[i]
25	No (3, 58, 1262)-net in base 81	[i]
26	No (3, 59, 1262)-net in base 81	[i]
27	No (3, 60, 1262)-net in base 81	[i]
28	No (3, 61, 1262)-net in base 81	[i]
29	No (3, 62, 1262)-net in base 81	[i]
30	No (3, 63, 1262)-net in base 81	[i]
31	No (3, 64, 1262)-net in base 81	[i]
32	No (3, 65, 1262)-net in base 81	[i]
33	No (3, 66, 1262)-net in base 81	[i]
34	No (3, 67, 1262)-net in base 81	[i]
35	No (3, 68, 1262)-net in base 81	[i]
36	No (3, 69, 1262)-net in base 81	[i]
37	No (3, 70, 1262)-net in base 81	[i]
38	No (3, 71, 1262)-net in base 81	[i]
39	No (3, 72, 1262)-net in base 81	[i]
40	No (3, 73, 1262)-net in base 81	[i]
41	No (3, 74, 1262)-net in base 81	[i]
42	No (3, 75, 1262)-net in base 81	[i]
43	No (3, 76, 1262)-net in base 81	[i]
44	No (3, 77, 1262)-net in base 81	[i]
45	No (3, 78, 1262)-net in base 81	[i]
46	No (3, 79, 1262)-net in base 81	[i]
47	No (3, 80, 1262)-net in base 81	[i]
48	No (3, 81, 1262)-net in base 81	[i]
49	No (3, 82, 1262)-net in base 81	[i]