MinT - Information on Result #520860

Information on Result #520860

There is no (113, 219, 239)-net in base 2, because extracting embedded orthogonal array would yield OA(2²¹⁹, 239, S₂, 106), but

the linear programming bound shows that MÂ â‰¥ 241561 122137 669732 560216 455179 695890 835788 814025 963529 430688 347832 975360 / 208437 > 2²¹⁹ [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 (113, 220, 239)-net in base 2	[i]		m-Reduction
2	No (113, 221, 239)-net in base 2	[i]
3	No (113, 222, 239)-net in base 2	[i]
4	No (113, 223, 239)-net in base 2	[i]
5	No (113, 224, 239)-net in base 2	[i]
6	No (113, 225, 239)-net in base 2	[i]
7	No (113, 226, 239)-net in base 2	[i]
8	No (113, 227, 239)-net in base 2	[i]
9	No (113, 228, 239)-net in base 2	[i]
10	No (113, 229, 239)-net in base 2	[i]
11	No (113, 230, 239)-net in base 2	[i]
12	No (113, 231, 239)-net in base 2	[i]
13	No (113, 232, 239)-net in base 2	[i]
14	No (113, 233, 239)-net in base 2	[i]
15	No (113, 234, 239)-net in base 2	[i]
16	No (113, 235, 239)-net in base 2	[i]
17	No (113, 236, 239)-net in base 2	[i]
18	No (113, 237, 239)-net in base 2	[i]
19	No (113, 238, 239)-net in base 2	[i]
20	No (113, 239, 239)-net in base 2	[i]
21	No (113, 240, 239)-net in base 2	[i]
22	No (113, 241, 239)-net in base 2	[i]
23	No (113, 242, 239)-net in base 2	[i]
24	No (113, 243, 239)-net in base 2	[i]
25	No (113, 244, 239)-net in base 2	[i]
26	No (113, 245, 239)-net in base 2	[i]
27	No (113, 246, 239)-net in base 2	[i]
28	No (113, 247, 239)-net in base 2	[i]
29	No (113, 248, 239)-net in base 2	[i]
30	No (113, 249, 239)-net in base 2	[i]
31	No (113, 250, 239)-net in base 2	[i]
32	No (113, 251, 239)-net in base 2	[i]
33	No (113, 252, 239)-net in base 2	[i]