MinT - Information on Result #520161

Information on Result #520161

There is no (19, 60, 33)-net in base 2, because extracting embedded OOA would yield OOA(2⁶⁰, 33, S₂, 2, 41), but

the (dual) Plotkin bound for OOAs shows that MÂ â‰¥ 9 223372 036854 775808 / 7 > 2⁶⁰ [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, 61, 33)-net in base 2	[i]		m-Reduction
2	No (19, 62, 33)-net in base 2	[i]
3	No (19, 63, 33)-net in base 2	[i]
4	No (19, 64, 33)-net in base 2	[i]
5	No (19, 65, 33)-net in base 2	[i]
6	No (19, 66, 33)-net in base 2	[i]
7	No (19, 67, 33)-net in base 2	[i]
8	No (19, 68, 33)-net in base 2	[i]
9	No (19, 69, 33)-net in base 2	[i]
10	No (19, 70, 33)-net in base 2	[i]
11	No (19, 71, 33)-net in base 2	[i]
12	No (19, 72, 33)-net in base 2	[i]
13	No (19, 73, 33)-net in base 2	[i]
14	No (19, 74, 33)-net in base 2	[i]
15	No (19, 75, 33)-net in base 2	[i]
16	No (19, 76, 33)-net in base 2	[i]
17	No (19, 77, 33)-net in base 2	[i]
18	No (19, 78, 33)-net in base 2	[i]
19	No (19, 79, 33)-net in base 2	[i]
20	No (19, 80, 33)-net in base 2	[i]