MinT - Information on Result #520804

Information on Result #520804

There is no (108, 214, 227)-net in base 2, because extracting embedded orthogonal array would yield OA(2²¹⁴, 227, S₂, 106), but

the linear programming bound shows that MÂ â‰¥ 458 319093 341560 876509 339256 479333 721451 831455 183189 732178 761374 236672 / 17019 > 2²¹⁴ [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 (108, 215, 227)-net in base 2	[i]		m-Reduction
2	No (108, 216, 227)-net in base 2	[i]
3	No (108, 217, 227)-net in base 2	[i]
4	No (108, 218, 227)-net in base 2	[i]
5	No (108, 219, 227)-net in base 2	[i]
6	No (108, 220, 227)-net in base 2	[i]
7	No (108, 221, 227)-net in base 2	[i]
8	No (108, 222, 227)-net in base 2	[i]
9	No (108, 223, 227)-net in base 2	[i]
10	No (108, 224, 227)-net in base 2	[i]
11	No (108, 225, 227)-net in base 2	[i]
12	No (108, 226, 227)-net in base 2	[i]
13	No (108, 227, 227)-net in base 2	[i]
14	No (108, 228, 227)-net in base 2	[i]
15	No (108, 229, 227)-net in base 2	[i]
16	No (108, 230, 227)-net in base 2	[i]
17	No (108, 231, 227)-net in base 2	[i]
18	No (108, 232, 227)-net in base 2	[i]
19	No (108, 233, 227)-net in base 2	[i]
20	No (108, 234, 227)-net in base 2	[i]
21	No (108, 235, 227)-net in base 2	[i]
22	No (108, 236, 227)-net in base 2	[i]
23	No (108, 237, 227)-net in base 2	[i]
24	No (108, 238, 227)-net in base 2	[i]
25	No (108, 239, 227)-net in base 2	[i]
26	No (108, 240, 227)-net in base 2	[i]
27	No (108, 241, 227)-net in base 2	[i]
28	No (108, 242, 227)-net in base 2	[i]
29	No (108, 243, 227)-net in base 2	[i]