MinT - Information on Result #520880

Information on Result #520880

There is no (115, 223, 243)-net in base 2, because extracting embedded orthogonal array would yield OA(2²²³, 243, S₂, 108), but

the linear programming bound shows that MÂ â‰¥ 110427 941548 649020 598956 093796 432407 239217 743554 726184 882600 387580 788736 / 5797 > 2²²³ [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 (115, 224, 243)-net in base 2	[i]		m-Reduction
2	No (115, 225, 243)-net in base 2	[i]
3	No (115, 226, 243)-net in base 2	[i]
4	No (115, 227, 243)-net in base 2	[i]
5	No (115, 228, 243)-net in base 2	[i]
6	No (115, 229, 243)-net in base 2	[i]
7	No (115, 230, 243)-net in base 2	[i]
8	No (115, 231, 243)-net in base 2	[i]
9	No (115, 232, 243)-net in base 2	[i]
10	No (115, 233, 243)-net in base 2	[i]
11	No (115, 234, 243)-net in base 2	[i]
12	No (115, 235, 243)-net in base 2	[i]
13	No (115, 236, 243)-net in base 2	[i]
14	No (115, 237, 243)-net in base 2	[i]
15	No (115, 238, 243)-net in base 2	[i]
16	No (115, 239, 243)-net in base 2	[i]
17	No (115, 240, 243)-net in base 2	[i]
18	No (115, 241, 243)-net in base 2	[i]
19	No (115, 242, 243)-net in base 2	[i]
20	No (115, 243, 243)-net in base 2	[i]
21	No (115, 244, 243)-net in base 2	[i]
22	No (115, 245, 243)-net in base 2	[i]
23	No (115, 246, 243)-net in base 2	[i]
24	No (115, 247, 243)-net in base 2	[i]
25	No (115, 248, 243)-net in base 2	[i]
26	No (115, 249, 243)-net in base 2	[i]
27	No (115, 250, 243)-net in base 2	[i]
28	No (115, 251, 243)-net in base 2	[i]
29	No (115, 252, 243)-net in base 2	[i]
30	No (115, 253, 243)-net in base 2	[i]
31	No (115, 254, 243)-net in base 2	[i]
32	No (115, 255, 243)-net in base 2	[i]
33	No (115, 256, 243)-net in base 2	[i]