MinT - Information on Result #520590

Information on Result #520590

There is no (67, 135, 146)-net in base 2, because extracting embedded orthogonal array would yield OA(2¹³⁵, 146, S₂, 68), but

the linear programming bound shows that MÂ â‰¥ 9 756576 024357 147624 421876 744283 658158 866432 / 205 > 2¹³⁵ [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 (67, 136, 146)-net in base 2	[i]		m-Reduction
2	No (67, 137, 146)-net in base 2	[i]
3	No (67, 138, 146)-net in base 2	[i]
4	No (67, 139, 146)-net in base 2	[i]
5	No (67, 140, 146)-net in base 2	[i]
6	No (67, 141, 146)-net in base 2	[i]
7	No (67, 142, 146)-net in base 2	[i]
8	No (67, 143, 146)-net in base 2	[i]
9	No (67, 144, 146)-net in base 2	[i]
10	No (67, 145, 146)-net in base 2	[i]
11	No (67, 146, 146)-net in base 2	[i]
12	No (67, 147, 146)-net in base 2	[i]
13	No (67, 148, 146)-net in base 2	[i]
14	No (67, 149, 146)-net in base 2	[i]
15	No (67, 150, 146)-net in base 2	[i]