MinT - Information on Result #520178

Information on Result #520178

There is no (21, 87, 31)-net in base 2, because extracting embedded OOA would yield OOA(2⁸⁷, 31, S₂, 3, 66), but

the (dual) Plotkin bound for OOAs shows that MÂ â‰¥ 11141 460353 568422 474092 118016 / 67 > 2⁸⁷ [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 (21, 88, 31)-net in base 2	[i]		m-Reduction
2	No (21, 89, 31)-net in base 2	[i]
3	No (21, 90, 31)-net in base 2	[i]
4	No (21, 91, 31)-net in base 2	[i]
5	No (21, 92, 31)-net in base 2	[i]
6	No (21, 93, 31)-net in base 2	[i]
7	No (21, 94, 31)-net in base 2	[i]
8	No (21, 95, 31)-net in base 2	[i]
9	No (21, 96, 31)-net in base 2	[i]
10	No (21, 97, 31)-net in base 2	[i]
11	No (21, 98, 31)-net in base 2	[i]
12	No (21, 99, 31)-net in base 2	[i]
13	No (21, 100, 31)-net in base 2	[i]
14	No (21, 101, 31)-net in base 2	[i]
15	No (21, 102, 31)-net in base 2	[i]
16	No (21, 103, 31)-net in base 2	[i]
17	No (21, 104, 31)-net in base 2	[i]
18	No (21, 105, 31)-net in base 2	[i]
19	No (21, 106, 31)-net in base 2	[i]
20	No (21, 107, 31)-net in base 2	[i]
21	No (21, 108, 31)-net in base 2	[i]
22	No (21, 109, 31)-net in base 2	[i]
23	No (21, 110, 31)-net in base 2	[i]
24	No (21, 111, 31)-net in base 2	[i]
25	No (21, 112, 31)-net in base 2	[i]