MinT - Information on Result #520575

Information on Result #520575

There is no (64, 128, 140)-net in base 2, because extracting embedded orthogonal array would yield OA(2¹²⁸, 140, S₂, 64), but

the linear programming bound shows that MÂ â‰¥ 174224 571863 520493 293247 799005 065324 265472 / 429 > 2¹²⁸ [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 (64, 129, 140)-net in base 2	[i]		m-Reduction
2	No (64, 130, 140)-net in base 2	[i]
3	No (64, 131, 140)-net in base 2	[i]
4	No (64, 132, 140)-net in base 2	[i]
5	No (64, 133, 140)-net in base 2	[i]
6	No (64, 134, 140)-net in base 2	[i]
7	No (64, 135, 140)-net in base 2	[i]
8	No (64, 136, 140)-net in base 2	[i]
9	No (64, 137, 140)-net in base 2	[i]
10	No (64, 138, 140)-net in base 2	[i]
11	No (64, 139, 140)-net in base 2	[i]
12	No (64, 140, 140)-net in base 2	[i]
13	No (64, 141, 140)-net in base 2	[i]
14	No (64, 142, 140)-net in base 2	[i]
15	No (64, 143, 140)-net in base 2	[i]