MinT - Information on Result #520381

Information on Result #520381

There is no (42, 123, 65)-net in base 2, because extracting embedded OOA would yield OOA(2¹²³, 65, S₂, 2, 81), but

the (dual) Plotkin bound for OOAs shows that MÂ â‰¥ 510 423550 381407 695195 061911 147652 317184 / 41 > 2¹²³ [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 (42, 124, 65)-net in base 2	[i]		m-Reduction
2	No (42, 125, 65)-net in base 2	[i]
3	No (42, 126, 65)-net in base 2	[i]
4	No (42, 127, 65)-net in base 2	[i]
5	No (42, 128, 65)-net in base 2	[i]
6	No (42, 129, 65)-net in base 2	[i]
7	No (42, 130, 65)-net in base 2	[i]
8	No (42, 131, 65)-net in base 2	[i]
9	No (42, 132, 65)-net in base 2	[i]
10	No (42, 133, 65)-net in base 2	[i]
11	No (42, 134, 65)-net in base 2	[i]
12	No (42, 135, 65)-net in base 2	[i]
13	No (42, 136, 65)-net in base 2	[i]
14	No (42, 137, 65)-net in base 2	[i]
15	No (42, 138, 65)-net in base 2	[i]
16	No (42, 139, 65)-net in base 2	[i]
17	No (42, 140, 65)-net in base 2	[i]
18	No (42, 141, 65)-net in base 2	[i]
19	No (42, 142, 65)-net in base 2	[i]
20	No (42, 143, 65)-net in base 2	[i]
21	No (42, 144, 65)-net in base 2	[i]
22	No (42, 145, 65)-net in base 2	[i]
23	No (42, 146, 65)-net in base 2	[i]
24	No (42, 147, 65)-net in base 2	[i]
25	No (42, 148, 65)-net in base 2	[i]
26	No (42, 149, 65)-net in base 2	[i]
27	No (42, 150, 65)-net in base 2	[i]
28	No (42, 151, 65)-net in base 2	[i]
29	No (42, 152, 65)-net in base 2	[i]
30	No (42, 153, 65)-net in base 2	[i]
31	No (42, 154, 65)-net in base 2	[i]
32	No (42, 155, 65)-net in base 2	[i]
33	No (42, 156, 65)-net in base 2	[i]
34	No (42, 157, 65)-net in base 2	[i]
35	No (42, 158, 65)-net in base 2	[i]
36	No (42, 159, 65)-net in base 2	[i]
37	No (42, 160, 65)-net in base 2	[i]