MinT - Information on Result #520850

Information on Result #520850

There is no (112, 218, 237)-net in base 2, because extracting embedded orthogonal array would yield OA(2²¹⁸, 237, S₂, 106), but

the linear programming bound shows that MÂ â‰¥ 59311 882667 731407 548267 433191 443187 482001 717729 589259 458427 942548 275200 / 110349 > 2²¹⁸ [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 (112, 219, 237)-net in base 2	[i]		m-Reduction
2	No (112, 220, 237)-net in base 2	[i]
3	No (112, 221, 237)-net in base 2	[i]
4	No (112, 222, 237)-net in base 2	[i]
5	No (112, 223, 237)-net in base 2	[i]
6	No (112, 224, 237)-net in base 2	[i]
7	No (112, 225, 237)-net in base 2	[i]
8	No (112, 226, 237)-net in base 2	[i]
9	No (112, 227, 237)-net in base 2	[i]
10	No (112, 228, 237)-net in base 2	[i]
11	No (112, 229, 237)-net in base 2	[i]
12	No (112, 230, 237)-net in base 2	[i]
13	No (112, 231, 237)-net in base 2	[i]
14	No (112, 232, 237)-net in base 2	[i]
15	No (112, 233, 237)-net in base 2	[i]
16	No (112, 234, 237)-net in base 2	[i]
17	No (112, 235, 237)-net in base 2	[i]
18	No (112, 236, 237)-net in base 2	[i]
19	No (112, 237, 237)-net in base 2	[i]
20	No (112, 238, 237)-net in base 2	[i]
21	No (112, 239, 237)-net in base 2	[i]
22	No (112, 240, 237)-net in base 2	[i]
23	No (112, 241, 237)-net in base 2	[i]
24	No (112, 242, 237)-net in base 2	[i]
25	No (112, 243, 237)-net in base 2	[i]
26	No (112, 244, 237)-net in base 2	[i]
27	No (112, 245, 237)-net in base 2	[i]
28	No (112, 246, 237)-net in base 2	[i]
29	No (112, 247, 237)-net in base 2	[i]
30	No (112, 248, 237)-net in base 2	[i]
31	No (112, 249, 237)-net in base 2	[i]