MinT - Information on Result #520828

Information on Result #520828

There is no (110, 218, 231)-net in base 2, because extracting embedded orthogonal array would yield OA(2²¹⁸, 231, S₂, 108), but

the linear programming bound shows that MÂ â‰¥ 5176 309760 092922 840576 066896 707769 089338 331729 127789 916371 893167 849472 / 11935 > 2²¹⁸ [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 (110, 219, 231)-net in base 2	[i]		m-Reduction
2	No (110, 220, 231)-net in base 2	[i]
3	No (110, 221, 231)-net in base 2	[i]
4	No (110, 222, 231)-net in base 2	[i]
5	No (110, 223, 231)-net in base 2	[i]
6	No (110, 224, 231)-net in base 2	[i]
7	No (110, 225, 231)-net in base 2	[i]
8	No (110, 226, 231)-net in base 2	[i]
9	No (110, 227, 231)-net in base 2	[i]
10	No (110, 228, 231)-net in base 2	[i]
11	No (110, 229, 231)-net in base 2	[i]
12	No (110, 230, 231)-net in base 2	[i]
13	No (110, 231, 231)-net in base 2	[i]
14	No (110, 232, 231)-net in base 2	[i]
15	No (110, 233, 231)-net in base 2	[i]
16	No (110, 234, 231)-net in base 2	[i]
17	No (110, 235, 231)-net in base 2	[i]
18	No (110, 236, 231)-net in base 2	[i]
19	No (110, 237, 231)-net in base 2	[i]
20	No (110, 238, 231)-net in base 2	[i]
21	No (110, 239, 231)-net in base 2	[i]
22	No (110, 240, 231)-net in base 2	[i]
23	No (110, 241, 231)-net in base 2	[i]
24	No (110, 242, 231)-net in base 2	[i]
25	No (110, 243, 231)-net in base 2	[i]
26	No (110, 244, 231)-net in base 2	[i]
27	No (110, 245, 231)-net in base 2	[i]
28	No (110, 246, 231)-net in base 2	[i]
29	No (110, 247, 231)-net in base 2	[i]