MinT - Information on Result #518528

Information on Result #518528

There is no (5, 53, 1997)-net in base 81, because the generalized Rao bound for nets shows that 81^mÂ â‰¥ 141861 300406 254954 296083 655256 620566 790718 564230 333055 490308 482891 767905 856390 004719 453679 087996 845441 > 81⁵³

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 (5, 54, 1997)-net in base 81	[i]	m-Reduction
2	No (5, 55, 1997)-net in base 81	[i]
3	No (5, 56, 1997)-net in base 81	[i]
4	No (5, 57, 1997)-net in base 81	[i]
5	No (5, 58, 1997)-net in base 81	[i]
6	No (5, 59, 1997)-net in base 81	[i]
7	No (5, 60, 1997)-net in base 81	[i]
8	No (5, 61, 1997)-net in base 81	[i]
9	No (5, 62, 1997)-net in base 81	[i]
10	No (5, 63, 1997)-net in base 81	[i]
11	No (5, 64, 1997)-net in base 81	[i]
12	No (5, 65, 1997)-net in base 81	[i]
13	No (5, 66, 1997)-net in base 81	[i]
14	No (5, 67, 1997)-net in base 81	[i]
15	No (5, 68, 1997)-net in base 81	[i]
16	No (5, 69, 1997)-net in base 81	[i]
17	No (5, 70, 1997)-net in base 81	[i]
18	No (5, 71, 1997)-net in base 81	[i]
19	No (5, 72, 1997)-net in base 81	[i]
20	No (5, 73, 1997)-net in base 81	[i]
21	No (5, 74, 1997)-net in base 81	[i]
22	No (5, 75, 1997)-net in base 81	[i]
23	No (5, 76, 1997)-net in base 81	[i]
24	No (5, 77, 1997)-net in base 81	[i]
25	No (5, 78, 1997)-net in base 81	[i]
26	No (5, 79, 1997)-net in base 81	[i]
27	No (5, 80, 1997)-net in base 81	[i]
28	No (5, 81, 1997)-net in base 81	[i]
29	No (5, 82, 1997)-net in base 81	[i]