MinT - Information on Result #520991

Information on Result #520991

There is no (130, 238, 287)-net in base 2, because extracting embedded orthogonal array would yield OA(2²³⁸, 287, S₂, 108), but

the linear programming bound shows that MÂ â‰¥ 2 133520 632200 595168 112459 587583 515002 010526 895398 363193 388655 973626 286863 730797 742512 930816 / 4 628313 007677 734375 > 2²³⁸ [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 (130, 239, 287)-net in base 2	[i]		m-Reduction
2	No (130, 240, 287)-net in base 2	[i]
3	No (130, 241, 287)-net in base 2	[i]
4	No (130, 242, 287)-net in base 2	[i]
5	No (130, 243, 287)-net in base 2	[i]
6	No (130, 244, 287)-net in base 2	[i]
7	No (130, 245, 287)-net in base 2	[i]
8	No (130, 246, 287)-net in base 2	[i]
9	No (130, 247, 287)-net in base 2	[i]
10	No (130, 248, 287)-net in base 2	[i]
11	No (130, 249, 287)-net in base 2	[i]
12	No (130, 250, 287)-net in base 2	[i]
13	No (130, 251, 287)-net in base 2	[i]
14	No (130, 252, 287)-net in base 2	[i]
15	No (130, 253, 287)-net in base 2	[i]
16	No (130, 254, 287)-net in base 2	[i]
17	No (130, 255, 287)-net in base 2	[i]
18	No (130, 256, 287)-net in base 2	[i]
19	No (130, 257, 287)-net in base 2	[i]
20	No (130, 258, 287)-net in base 2	[i]
21	No (130, 259, 287)-net in base 2	[i]
22	No (130, 260, 287)-net in base 2	[i]