MinT - Information on Result #520268

Information on Result #520268

There is no (31, 157, 41)-net in base 2, because extracting embedded OOA would yield OOA(2¹⁵⁷, 41, S₂, 4, 126), but

the (dual) Plotkin bound for OOAs shows that MÂ â‰¥ 33 614537 658610 767118 684751 152474 509452 086448 488448 / 127 > 2¹⁵⁷ [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		This result only	Method
1	No (31, 158, 41)-net in base 2	[i]		m-Reduction
2	No (31, 159, 41)-net in base 2	[i]
3	No (31, 160, 41)-net in base 2	[i]
4	No (31, 161, 41)-net in base 2	[i]
5	No (31, 162, 41)-net in base 2	[i]
6	No (31, 163, 41)-net in base 2	[i]
7	No (31, 164, 41)-net in base 2	[i]
8	No (31, 165, 41)-net in base 2	[i]
9	No (31, 166, 41)-net in base 2	[i]
10	No (31, 167, 41)-net in base 2	[i]
11	No (31, 168, 41)-net in base 2	[i]
12	No (31, 169, 41)-net in base 2	[i]
13	No (31, 170, 41)-net in base 2	[i]
14	No (31, 171, 41)-net in base 2	[i]
15	No (31, 172, 41)-net in base 2	[i]
16	No (31, 173, 41)-net in base 2	[i]
17	No (31, 174, 41)-net in base 2	[i]
18	No (31, 175, 41)-net in base 2	[i]
19	No (31, 176, 41)-net in base 2	[i]
20	No (31, 177, 41)-net in base 2	[i]
21	No (31, 178, 41)-net in base 2	[i]
22	No (31, 179, 41)-net in base 2	[i]
23	No (31, 180, 41)-net in base 2	[i]
24	No (31, 181, 41)-net in base 2	[i]
25	No (31, 182, 41)-net in base 2	[i]
26	No (31, 183, 41)-net in base 2	[i]
27	No (31, 184, 41)-net in base 2	[i]
28	No (31, 185, 41)-net in base 2	[i]
29	No (31, 186, 41)-net in base 2	[i]
30	No (31, 187, 41)-net in base 2	[i]
31	No (31, 188, 41)-net in base 2	[i]
32	No (31, 189, 41)-net in base 2	[i]
33	No (31, 190, 41)-net in base 2	[i]
34	No (31, 191, 41)-net in base 2	[i]