MinT - Information on Result #520816

Information on Result #520816

There is no (109, 217, 230)-net in base 2, because extracting embedded orthogonal array would yield OA(2²¹⁷, 230, S₂, 108), but

the linear programming bound shows that MÂ â‰¥ 26 959946 667150 639794 667015 087019 630673 637144 422540 572481 103610 249216 / 93 > 2²¹⁷ [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 (109, 218, 230)-net in base 2	[i]		m-Reduction
2	No (109, 219, 230)-net in base 2	[i]
3	No (109, 220, 230)-net in base 2	[i]
4	No (109, 221, 230)-net in base 2	[i]
5	No (109, 222, 230)-net in base 2	[i]
6	No (109, 223, 230)-net in base 2	[i]
7	No (109, 224, 230)-net in base 2	[i]
8	No (109, 225, 230)-net in base 2	[i]
9	No (109, 226, 230)-net in base 2	[i]
10	No (109, 227, 230)-net in base 2	[i]
11	No (109, 228, 230)-net in base 2	[i]
12	No (109, 229, 230)-net in base 2	[i]
13	No (109, 230, 230)-net in base 2	[i]
14	No (109, 231, 230)-net in base 2	[i]
15	No (109, 232, 230)-net in base 2	[i]
16	No (109, 233, 230)-net in base 2	[i]
17	No (109, 234, 230)-net in base 2	[i]
18	No (109, 235, 230)-net in base 2	[i]
19	No (109, 236, 230)-net in base 2	[i]
20	No (109, 237, 230)-net in base 2	[i]
21	No (109, 238, 230)-net in base 2	[i]
22	No (109, 239, 230)-net in base 2	[i]
23	No (109, 240, 230)-net in base 2	[i]
24	No (109, 241, 230)-net in base 2	[i]
25	No (109, 242, 230)-net in base 2	[i]
26	No (109, 243, 230)-net in base 2	[i]
27	No (109, 244, 230)-net in base 2	[i]