MinT - Information on Result #520780

Information on Result #520780

There is no (106, 210, 223)-net in base 2, because extracting embedded orthogonal array would yield OA(2²¹⁰, 223, S₂, 104), but

the linear programming bound shows that MÂ â‰¥ 26 959946 667150 639794 667015 087019 630673 637144 422540 572481 103610 249216 / 16165 > 2²¹⁰ [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 (106, 211, 223)-net in base 2	[i]		m-Reduction
2	No (106, 212, 223)-net in base 2	[i]
3	No (106, 213, 223)-net in base 2	[i]
4	No (106, 214, 223)-net in base 2	[i]
5	No (106, 215, 223)-net in base 2	[i]
6	No (106, 216, 223)-net in base 2	[i]
7	No (106, 217, 223)-net in base 2	[i]
8	No (106, 218, 223)-net in base 2	[i]
9	No (106, 219, 223)-net in base 2	[i]
10	No (106, 220, 223)-net in base 2	[i]
11	No (106, 221, 223)-net in base 2	[i]
12	No (106, 222, 223)-net in base 2	[i]
13	No (106, 223, 223)-net in base 2	[i]
14	No (106, 224, 223)-net in base 2	[i]
15	No (106, 225, 223)-net in base 2	[i]
16	No (106, 226, 223)-net in base 2	[i]
17	No (106, 227, 223)-net in base 2	[i]
18	No (106, 228, 223)-net in base 2	[i]
19	No (106, 229, 223)-net in base 2	[i]
20	No (106, 230, 223)-net in base 2	[i]
21	No (106, 231, 223)-net in base 2	[i]
22	No (106, 232, 223)-net in base 2	[i]
23	No (106, 233, 223)-net in base 2	[i]
24	No (106, 234, 223)-net in base 2	[i]
25	No (106, 235, 223)-net in base 2	[i]
26	No (106, 236, 223)-net in base 2	[i]
27	No (106, 237, 223)-net in base 2	[i]
28	No (106, 238, 223)-net in base 2	[i]
29	No (106, 239, 223)-net in base 2	[i]