MinT - Information on Result #520581

Information on Result #520581

There is no (65, 131, 142)-net in base 2, because extracting embedded orthogonal array would yield OA(2¹³¹, 142, S₂, 66), but

the linear programming bound shows that MÂ â‰¥ 10 529697 562001 519813 410663 852368 635535 294464 / 3485 > 2¹³¹ [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 (65, 132, 142)-net in base 2	[i]		m-Reduction
2	No (65, 133, 142)-net in base 2	[i]
3	No (65, 134, 142)-net in base 2	[i]
4	No (65, 135, 142)-net in base 2	[i]
5	No (65, 136, 142)-net in base 2	[i]
6	No (65, 137, 142)-net in base 2	[i]
7	No (65, 138, 142)-net in base 2	[i]
8	No (65, 139, 142)-net in base 2	[i]
9	No (65, 140, 142)-net in base 2	[i]
10	No (65, 141, 142)-net in base 2	[i]
11	No (65, 142, 142)-net in base 2	[i]
12	No (65, 143, 142)-net in base 2	[i]
13	No (65, 144, 142)-net in base 2	[i]
14	No (65, 145, 142)-net in base 2	[i]
15	No (65, 146, 142)-net in base 2	[i]