MinT - Information on Result #520194

Information on Result #520194

There is no (23, 72, 39)-net in base 2, because extracting embedded OOA would yield OOA(2⁷², 39, S₂, 2, 49), but

the (dual) Plotkin bound for OOAs shows that MÂ â‰¥ 37778 931862 957161 709568 / 5 > 2⁷² [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 (23, 73, 39)-net in base 2	[i]		m-Reduction
2	No (23, 74, 39)-net in base 2	[i]
3	No (23, 75, 39)-net in base 2	[i]
4	No (23, 76, 39)-net in base 2	[i]
5	No (23, 77, 39)-net in base 2	[i]
6	No (23, 78, 39)-net in base 2	[i]
7	No (23, 79, 39)-net in base 2	[i]
8	No (23, 80, 39)-net in base 2	[i]
9	No (23, 81, 39)-net in base 2	[i]
10	No (23, 82, 39)-net in base 2	[i]
11	No (23, 83, 39)-net in base 2	[i]
12	No (23, 84, 39)-net in base 2	[i]
13	No (23, 85, 39)-net in base 2	[i]
14	No (23, 86, 39)-net in base 2	[i]
15	No (23, 87, 39)-net in base 2	[i]
16	No (23, 88, 39)-net in base 2	[i]
17	No (23, 89, 39)-net in base 2	[i]
18	No (23, 90, 39)-net in base 2	[i]
19	No (23, 91, 39)-net in base 2	[i]
20	No (23, 92, 39)-net in base 2	[i]
21	No (23, 93, 39)-net in base 2	[i]