MinT - Information on Result #520187

Information on Result #520187

There is no (22, 117, 31)-net in base 2, because extracting embedded OOA would yield OOA(2¹¹⁷, 31, S₂, 4, 95), but

the (dual) Plotkin bound for OOAs shows that MÂ â‰¥ 706152 372760 736557 480147 500773 933056 / 3 > 2¹¹⁷ [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 (22, 118, 31)-net in base 2	[i]		m-Reduction
2	No (22, 119, 31)-net in base 2	[i]
3	No (22, 120, 31)-net in base 2	[i]
4	No (22, 121, 31)-net in base 2	[i]
5	No (22, 122, 31)-net in base 2	[i]
6	No (22, 123, 31)-net in base 2	[i]
7	No (22, 124, 31)-net in base 2	[i]
8	No (22, 125, 31)-net in base 2	[i]
9	No (22, 126, 31)-net in base 2	[i]
10	No (22, 127, 31)-net in base 2	[i]
11	No (22, 128, 31)-net in base 2	[i]
12	No (22, 129, 31)-net in base 2	[i]
13	No (22, 130, 31)-net in base 2	[i]
14	No (22, 131, 31)-net in base 2	[i]
15	No (22, 132, 31)-net in base 2	[i]
16	No (22, 133, 31)-net in base 2	[i]
17	No (22, 134, 31)-net in base 2	[i]
18	No (22, 135, 31)-net in base 2	[i]
19	No (22, 136, 31)-net in base 2	[i]
20	No (22, 137, 31)-net in base 2	[i]
21	No (22, 138, 31)-net in base 2	[i]
22	No (22, 139, 31)-net in base 2	[i]
23	No (22, 140, 31)-net in base 2	[i]
24	No (22, 141, 31)-net in base 2	[i]
25	No (22, 142, 31)-net in base 2	[i]