MinT - Information on Result #520768

Information on Result #520768

There is no (105, 209, 222)-net in base 2, because extracting embedded orthogonal array would yield OA(2²⁰⁹, 222, S₂, 104), but

the linear programming bound shows that MÂ â‰¥ 18 376994 896163 229078 786695 830800 490439 647194 147395 819913 877265 580032 / 16165 > 2²⁰⁹ [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 (105, 210, 222)-net in base 2	[i]		m-Reduction
2	No (105, 211, 222)-net in base 2	[i]
3	No (105, 212, 222)-net in base 2	[i]
4	No (105, 213, 222)-net in base 2	[i]
5	No (105, 214, 222)-net in base 2	[i]
6	No (105, 215, 222)-net in base 2	[i]
7	No (105, 216, 222)-net in base 2	[i]
8	No (105, 217, 222)-net in base 2	[i]
9	No (105, 218, 222)-net in base 2	[i]
10	No (105, 219, 222)-net in base 2	[i]
11	No (105, 220, 222)-net in base 2	[i]
12	No (105, 221, 222)-net in base 2	[i]
13	No (105, 222, 222)-net in base 2	[i]
14	No (105, 223, 222)-net in base 2	[i]
15	No (105, 224, 222)-net in base 2	[i]
16	No (105, 225, 222)-net in base 2	[i]
17	No (105, 226, 222)-net in base 2	[i]
18	No (105, 227, 222)-net in base 2	[i]
19	No (105, 228, 222)-net in base 2	[i]
20	No (105, 229, 222)-net in base 2	[i]
21	No (105, 230, 222)-net in base 2	[i]
22	No (105, 231, 222)-net in base 2	[i]
23	No (105, 232, 222)-net in base 2	[i]
24	No (105, 233, 222)-net in base 2	[i]
25	No (105, 234, 222)-net in base 2	[i]