MinT - Information on Result #520162

Information on Result #520162

There is no (19, 81, 29)-net in base 2, because extracting embedded OOA would yield OOA(2⁸¹, 29, S₂, 3, 62), but

the (dual) Plotkin bound for OOAs shows that MÂ â‰¥ 212 770944 252174 734748 286976 / 63 > 2⁸¹ [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 (19, 82, 29)-net in base 2	[i]		m-Reduction
2	No (19, 83, 29)-net in base 2	[i]
3	No (19, 84, 29)-net in base 2	[i]
4	No (19, 85, 29)-net in base 2	[i]
5	No (19, 86, 29)-net in base 2	[i]
6	No (19, 87, 29)-net in base 2	[i]
7	No (19, 88, 29)-net in base 2	[i]
8	No (19, 89, 29)-net in base 2	[i]
9	No (19, 90, 29)-net in base 2	[i]
10	No (19, 91, 29)-net in base 2	[i]
11	No (19, 92, 29)-net in base 2	[i]
12	No (19, 93, 29)-net in base 2	[i]
13	No (19, 94, 29)-net in base 2	[i]
14	No (19, 95, 29)-net in base 2	[i]
15	No (19, 96, 29)-net in base 2	[i]
16	No (19, 97, 29)-net in base 2	[i]
17	No (19, 98, 29)-net in base 2	[i]
18	No (19, 99, 29)-net in base 2	[i]
19	No (19, 100, 29)-net in base 2	[i]
20	No (19, 101, 29)-net in base 2	[i]
21	No (19, 102, 29)-net in base 2	[i]