MinT - Information on Result #520185

Information on Result #520185

There is no (22, 68, 37)-net in base 2, because extracting embedded OOA would yield OOA(2⁶⁸, 37, S₂, 2, 46), but

the (dual) Plotkin bound for OOAs shows that MÂ â‰¥ 14167 099448 608935 641088 / 47 > 2⁶⁸ [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, 69, 37)-net in base 2	[i]		m-Reduction
2	No (22, 70, 37)-net in base 2	[i]
3	No (22, 71, 37)-net in base 2	[i]
4	No (22, 72, 37)-net in base 2	[i]
5	No (22, 73, 37)-net in base 2	[i]
6	No (22, 74, 37)-net in base 2	[i]
7	No (22, 75, 37)-net in base 2	[i]
8	No (22, 76, 37)-net in base 2	[i]
9	No (22, 77, 37)-net in base 2	[i]
10	No (22, 78, 37)-net in base 2	[i]
11	No (22, 79, 37)-net in base 2	[i]
12	No (22, 80, 37)-net in base 2	[i]
13	No (22, 81, 37)-net in base 2	[i]
14	No (22, 82, 37)-net in base 2	[i]
15	No (22, 83, 37)-net in base 2	[i]
16	No (22, 84, 37)-net in base 2	[i]
17	No (22, 85, 37)-net in base 2	[i]
18	No (22, 86, 37)-net in base 2	[i]
19	No (22, 87, 37)-net in base 2	[i]
20	No (22, 88, 37)-net in base 2	[i]
21	No (22, 89, 37)-net in base 2	[i]
22	No (22, 90, 37)-net in base 2	[i]