MinT - Information on Result #520358

Information on Result #520358

There is no (40, 118, 62)-net in base 2, because extracting embedded OOA would yield OOA(2¹¹⁸, 62, S₂, 2, 78), but

the (dual) Plotkin bound for OOAs shows that MÂ â‰¥ 31 901471 898837 980949 691369 446728 269824 / 79 > 2¹¹⁸ [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 (40, 119, 62)-net in base 2	[i]		m-Reduction
2	No (40, 120, 62)-net in base 2	[i]
3	No (40, 121, 62)-net in base 2	[i]
4	No (40, 122, 62)-net in base 2	[i]
5	No (40, 123, 62)-net in base 2	[i]
6	No (40, 124, 62)-net in base 2	[i]
7	No (40, 125, 62)-net in base 2	[i]
8	No (40, 126, 62)-net in base 2	[i]
9	No (40, 127, 62)-net in base 2	[i]
10	No (40, 128, 62)-net in base 2	[i]
11	No (40, 129, 62)-net in base 2	[i]
12	No (40, 130, 62)-net in base 2	[i]
13	No (40, 131, 62)-net in base 2	[i]
14	No (40, 132, 62)-net in base 2	[i]
15	No (40, 133, 62)-net in base 2	[i]
16	No (40, 134, 62)-net in base 2	[i]
17	No (40, 135, 62)-net in base 2	[i]
18	No (40, 136, 62)-net in base 2	[i]
19	No (40, 137, 62)-net in base 2	[i]
20	No (40, 138, 62)-net in base 2	[i]
21	No (40, 139, 62)-net in base 2	[i]
22	No (40, 140, 62)-net in base 2	[i]
23	No (40, 141, 62)-net in base 2	[i]
24	No (40, 142, 62)-net in base 2	[i]
25	No (40, 143, 62)-net in base 2	[i]
26	No (40, 144, 62)-net in base 2	[i]
27	No (40, 145, 62)-net in base 2	[i]
28	No (40, 146, 62)-net in base 2	[i]
29	No (40, 147, 62)-net in base 2	[i]
30	No (40, 148, 62)-net in base 2	[i]
31	No (40, 149, 62)-net in base 2	[i]
32	No (40, 150, 62)-net in base 2	[i]
33	No (40, 151, 62)-net in base 2	[i]
34	No (40, 152, 62)-net in base 2	[i]
35	No (40, 153, 62)-net in base 2	[i]
36	No (40, 154, 62)-net in base 2	[i]