MinT - Information on Result #520169

Information on Result #520169

There is no (20, 63, 34)-net in base 2, because extracting embedded OOA would yield OOA(2⁶³, 34, S₂, 2, 43), but

the (dual) Plotkin bound for OOAs shows that MÂ â‰¥ 110 680464 442257 309696 / 11 > 2⁶³ [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, 64, 34)-net in base 2	[i]		m-Reduction
2	No (20, 65, 34)-net in base 2	[i]
3	No (20, 66, 34)-net in base 2	[i]
4	No (20, 67, 34)-net in base 2	[i]
5	No (20, 68, 34)-net in base 2	[i]
6	No (20, 69, 34)-net in base 2	[i]
7	No (20, 70, 34)-net in base 2	[i]
8	No (20, 71, 34)-net in base 2	[i]
9	No (20, 72, 34)-net in base 2	[i]
10	No (20, 73, 34)-net in base 2	[i]
11	No (20, 74, 34)-net in base 2	[i]
12	No (20, 75, 34)-net in base 2	[i]
13	No (20, 76, 34)-net in base 2	[i]
14	No (20, 77, 34)-net in base 2	[i]
15	No (20, 78, 34)-net in base 2	[i]
16	No (20, 79, 34)-net in base 2	[i]
17	No (20, 80, 34)-net in base 2	[i]
18	No (20, 81, 34)-net in base 2	[i]
19	No (20, 82, 34)-net in base 2	[i]
20	No (20, 83, 34)-net in base 2	[i]