MinT - Information on Result #520739

Information on Result #520739

There is no (102, 202, 216)-net in base 2, because extracting embedded orthogonal array would yield OA(2²⁰², 216, S₂, 100), but

the linear programming bound shows that MÂ â‰¥ 233661 647139 611257 986005 623923 143771 707548 492919 968340 595502 481408 / 29087 > 2²⁰² [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 (102, 203, 216)-net in base 2	[i]		m-Reduction
2	No (102, 204, 216)-net in base 2	[i]
3	No (102, 205, 216)-net in base 2	[i]
4	No (102, 206, 216)-net in base 2	[i]
5	No (102, 207, 216)-net in base 2	[i]
6	No (102, 208, 216)-net in base 2	[i]
7	No (102, 209, 216)-net in base 2	[i]
8	No (102, 210, 216)-net in base 2	[i]
9	No (102, 211, 216)-net in base 2	[i]
10	No (102, 212, 216)-net in base 2	[i]
11	No (102, 213, 216)-net in base 2	[i]
12	No (102, 214, 216)-net in base 2	[i]
13	No (102, 215, 216)-net in base 2	[i]
14	No (102, 216, 216)-net in base 2	[i]
15	No (102, 217, 216)-net in base 2	[i]
16	No (102, 218, 216)-net in base 2	[i]
17	No (102, 219, 216)-net in base 2	[i]
18	No (102, 220, 216)-net in base 2	[i]
19	No (102, 221, 216)-net in base 2	[i]
20	No (102, 222, 216)-net in base 2	[i]
21	No (102, 223, 216)-net in base 2	[i]
22	No (102, 224, 216)-net in base 2	[i]
23	No (102, 225, 216)-net in base 2	[i]
24	No (102, 226, 216)-net in base 2	[i]
25	No (102, 227, 216)-net in base 2	[i]
26	No (102, 228, 216)-net in base 2	[i]
27	No (102, 229, 216)-net in base 2	[i]