MinT - Information on Result #520709

Information on Result #520709

There is no (98, 198, 209)-net in base 2, because extracting embedded orthogonal array would yield OA(2¹⁹⁸, 209, S₂, 100), but

the linear programming bound shows that MÂ â‰¥ 1298 405939 761264 142637 905370 611659 382837 940018 976496 610923 511808 / 3111 > 2¹⁹⁸ [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 (98, 199, 209)-net in base 2	[i]		m-Reduction
2	No (98, 200, 209)-net in base 2	[i]
3	No (98, 201, 209)-net in base 2	[i]
4	No (98, 202, 209)-net in base 2	[i]
5	No (98, 203, 209)-net in base 2	[i]
6	No (98, 204, 209)-net in base 2	[i]
7	No (98, 205, 209)-net in base 2	[i]
8	No (98, 206, 209)-net in base 2	[i]
9	No (98, 207, 209)-net in base 2	[i]
10	No (98, 208, 209)-net in base 2	[i]
11	No (98, 209, 209)-net in base 2	[i]
12	No (98, 210, 209)-net in base 2	[i]
13	No (98, 211, 209)-net in base 2	[i]
14	No (98, 212, 209)-net in base 2	[i]
15	No (98, 213, 209)-net in base 2	[i]
16	No (98, 214, 209)-net in base 2	[i]
17	No (98, 215, 209)-net in base 2	[i]
18	No (98, 216, 209)-net in base 2	[i]
19	No (98, 217, 209)-net in base 2	[i]
20	No (98, 218, 209)-net in base 2	[i]
21	No (98, 219, 209)-net in base 2	[i]