MinT - Information on Result #520993

Information on Result #520993

There is no (131, 239, 292)-net in base 2, because extracting embedded orthogonal array would yield OA(2²³⁹, 292, S₂, 108), but

the linear programming bound shows that MÂ â‰¥ 129 753212 264703 737764 759763 826530 014325 194921 459040 258227 297024 189374 782768 881401 211050 262528 / 138 951361 618522 578125 > 2²³⁹ [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 (131, 240, 292)-net in base 2	[i]		m-Reduction
2	No (131, 241, 292)-net in base 2	[i]
3	No (131, 242, 292)-net in base 2	[i]
4	No (131, 243, 292)-net in base 2	[i]
5	No (131, 244, 292)-net in base 2	[i]
6	No (131, 245, 292)-net in base 2	[i]
7	No (131, 246, 292)-net in base 2	[i]
8	No (131, 247, 292)-net in base 2	[i]
9	No (131, 248, 292)-net in base 2	[i]
10	No (131, 249, 292)-net in base 2	[i]
11	No (131, 250, 292)-net in base 2	[i]
12	No (131, 251, 292)-net in base 2	[i]
13	No (131, 252, 292)-net in base 2	[i]
14	No (131, 253, 292)-net in base 2	[i]
15	No (131, 254, 292)-net in base 2	[i]
16	No (131, 255, 292)-net in base 2	[i]
17	No (131, 256, 292)-net in base 2	[i]
18	No (131, 257, 292)-net in base 2	[i]
19	No (131, 258, 292)-net in base 2	[i]
20	No (131, 259, 292)-net in base 2	[i]
21	No (131, 260, 292)-net in base 2	[i]