MinT - Information on Result #520899

Information on Result #520899

There is no (117, 223, 249)-net in base 2, because extracting embedded orthogonal array would yield OA(2²²³, 249, S₂, 106), but

the linear programming bound shows that MÂ â‰¥ 125060 361585 465082 046951 669439 069378 009061 149491 060510 099746 675837 762518 646784 / 7177 430007 > 2²²³ [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 (117, 224, 249)-net in base 2	[i]		m-Reduction
2	No (117, 225, 249)-net in base 2	[i]
3	No (117, 226, 249)-net in base 2	[i]
4	No (117, 227, 249)-net in base 2	[i]
5	No (117, 228, 249)-net in base 2	[i]
6	No (117, 229, 249)-net in base 2	[i]
7	No (117, 230, 249)-net in base 2	[i]
8	No (117, 231, 249)-net in base 2	[i]
9	No (117, 232, 249)-net in base 2	[i]
10	No (117, 233, 249)-net in base 2	[i]
11	No (117, 234, 249)-net in base 2	[i]
12	No (117, 235, 249)-net in base 2	[i]
13	No (117, 236, 249)-net in base 2	[i]
14	No (117, 237, 249)-net in base 2	[i]
15	No (117, 238, 249)-net in base 2	[i]
16	No (117, 239, 249)-net in base 2	[i]
17	No (117, 240, 249)-net in base 2	[i]