MinT - Information on Result #520177

Information on Result #520177

There is no (21, 66, 36)-net in base 2, because extracting embedded OOA would yield OOA(2⁶⁶, 36, S₂, 2, 45), but

the (dual) Plotkin bound for OOAs shows that MÂ â‰¥ 2361 183241 434822 606848 / 23 > 2⁶⁶ [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, 67, 36)-net in base 2	[i]		m-Reduction
2	No (21, 68, 36)-net in base 2	[i]
3	No (21, 69, 36)-net in base 2	[i]
4	No (21, 70, 36)-net in base 2	[i]
5	No (21, 71, 36)-net in base 2	[i]
6	No (21, 72, 36)-net in base 2	[i]
7	No (21, 73, 36)-net in base 2	[i]
8	No (21, 74, 36)-net in base 2	[i]
9	No (21, 75, 36)-net in base 2	[i]
10	No (21, 76, 36)-net in base 2	[i]
11	No (21, 77, 36)-net in base 2	[i]
12	No (21, 78, 36)-net in base 2	[i]
13	No (21, 79, 36)-net in base 2	[i]
14	No (21, 80, 36)-net in base 2	[i]
15	No (21, 81, 36)-net in base 2	[i]
16	No (21, 82, 36)-net in base 2	[i]
17	No (21, 83, 36)-net in base 2	[i]
18	No (21, 84, 36)-net in base 2	[i]
19	No (21, 85, 36)-net in base 2	[i]
20	No (21, 86, 36)-net in base 2	[i]