MinT - Information on Result #520170

Information on Result #520170

There is no (20, 84, 30)-net in base 2, because extracting embedded OOA would yield OOA(2⁸⁴, 30, S₂, 3, 64), but

the (dual) Plotkin bound for OOAs shows that MÂ â‰¥ 309 485009 821345 068724 781056 / 13 > 2⁸⁴ [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 (20, 85, 30)-net in base 2	[i]		m-Reduction
2	No (20, 86, 30)-net in base 2	[i]
3	No (20, 87, 30)-net in base 2	[i]
4	No (20, 88, 30)-net in base 2	[i]
5	No (20, 89, 30)-net in base 2	[i]
6	No (20, 90, 30)-net in base 2	[i]
7	No (20, 91, 30)-net in base 2	[i]
8	No (20, 92, 30)-net in base 2	[i]
9	No (20, 93, 30)-net in base 2	[i]
10	No (20, 94, 30)-net in base 2	[i]
11	No (20, 95, 30)-net in base 2	[i]
12	No (20, 96, 30)-net in base 2	[i]
13	No (20, 97, 30)-net in base 2	[i]
14	No (20, 98, 30)-net in base 2	[i]
15	No (20, 99, 30)-net in base 2	[i]
16	No (20, 100, 30)-net in base 2	[i]
17	No (20, 101, 30)-net in base 2	[i]
18	No (20, 102, 30)-net in base 2	[i]
19	No (20, 103, 30)-net in base 2	[i]
20	No (20, 104, 30)-net in base 2	[i]
21	No (20, 105, 30)-net in base 2	[i]
22	No (20, 106, 30)-net in base 2	[i]
23	No (20, 107, 30)-net in base 2	[i]
24	No (20, 108, 30)-net in base 2	[i]