MinT - Information on Result #519108

Information on Result #519108

There is no (3, 37, 2172)-net in base 128, because the generalized Rao bound for nets shows that 128^mÂ â‰¥ 928513 331002 857474 701739 343991 977389 443122 453578 244687 314025 159262 341315 173321 > 128³⁷

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, 38, 2172)-net in base 128	[i]	m-Reduction
2	No (3, 39, 2172)-net in base 128	[i]
3	No (3, 40, 2172)-net in base 128	[i]
4	No (3, 41, 2172)-net in base 128	[i]
5	No (3, 42, 2172)-net in base 128	[i]
6	No (3, 43, 2172)-net in base 128	[i]
7	No (3, 44, 2172)-net in base 128	[i]
8	No (3, 45, 2172)-net in base 128	[i]
9	No (3, 46, 2172)-net in base 128	[i]
10	No (3, 47, 2172)-net in base 128	[i]
11	No (3, 48, 2172)-net in base 128	[i]
12	No (3, 49, 2172)-net in base 128	[i]
13	No (3, 50, 2172)-net in base 128	[i]
14	No (3, 51, 2172)-net in base 128	[i]
15	No (3, 52, 2172)-net in base 128	[i]
16	No (3, 53, 2172)-net in base 128	[i]
17	No (3, 54, 2172)-net in base 128	[i]
18	No (3, 55, 2172)-net in base 128	[i]
19	No (3, 56, 2172)-net in base 128	[i]
20	No (3, 57, 2172)-net in base 128	[i]
21	No (3, 58, 2172)-net in base 128	[i]
22	No (3, 59, 2172)-net in base 128	[i]
23	No (3, 60, 2172)-net in base 128	[i]
24	No (3, 61, 2172)-net in base 128	[i]
25	No (3, 62, 2172)-net in base 128	[i]
26	No (3, 63, 2172)-net in base 128	[i]
27	No (3, 64, 2172)-net in base 128	[i]
28	No (3, 65, 2172)-net in base 128	[i]
29	No (3, 66, 2172)-net in base 128	[i]
30	No (3, 67, 2172)-net in base 128	[i]
31	No (3, 68, 2172)-net in base 128	[i]
32	No (3, 69, 2172)-net in base 128	[i]
33	No (3, 70, 2172)-net in base 128	[i]
34	No (3, 71, 2172)-net in base 128	[i]
35	No (3, 72, 2172)-net in base 128	[i]
36	No (3, 73, 2172)-net in base 128	[i]
37	No (3, 74, 2172)-net in base 128	[i]
38	No (3, 75, 2172)-net in base 128	[i]
39	No (3, 76, 2172)-net in base 128	[i]
40	No (3, 77, 2172)-net in base 128	[i]
41	No (3, 78, 2172)-net in base 128	[i]