MinT - Information on Result #520522

Information on Result #520522

There is no (56, 161, 84)-net in base 2, because extracting embedded OOA would yield OOA(2¹⁶¹, 84, S₂, 2, 105), but

the (dual) Plotkin bound for OOAs shows that MÂ â‰¥ 187 072209 578355 573530 071658 587684 226515 959365 500928 / 53 > 2¹⁶¹ [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		Method
1	No (56, 162, 84)-net in base 2	[i]	m-Reduction
2	No (56, 163, 84)-net in base 2	[i]
3	No (56, 164, 84)-net in base 2	[i]
4	No (56, 165, 84)-net in base 2	[i]
5	No (56, 166, 84)-net in base 2	[i]
6	No (56, 167, 84)-net in base 2	[i]
7	No (56, 168, 84)-net in base 2	[i]
8	No (56, 169, 84)-net in base 2	[i]
9	No (56, 170, 84)-net in base 2	[i]
10	No (56, 171, 84)-net in base 2	[i]
11	No (56, 172, 84)-net in base 2	[i]
12	No (56, 173, 84)-net in base 2	[i]
13	No (56, 174, 84)-net in base 2	[i]
14	No (56, 175, 84)-net in base 2	[i]
15	No (56, 176, 84)-net in base 2	[i]
16	No (56, 177, 84)-net in base 2	[i]
17	No (56, 178, 84)-net in base 2	[i]
18	No (56, 179, 84)-net in base 2	[i]
19	No (56, 180, 84)-net in base 2	[i]
20	No (56, 181, 84)-net in base 2	[i]
21	No (56, 182, 84)-net in base 2	[i]
22	No (56, 183, 84)-net in base 2	[i]
23	No (56, 184, 84)-net in base 2	[i]
24	No (56, 185, 84)-net in base 2	[i]
25	No (56, 186, 84)-net in base 2	[i]
26	No (56, 187, 84)-net in base 2	[i]
27	No (56, 188, 84)-net in base 2	[i]
28	No (56, 189, 84)-net in base 2	[i]
29	No (56, 190, 84)-net in base 2	[i]
30	No (56, 191, 84)-net in base 2	[i]
31	No (56, 192, 84)-net in base 2	[i]
32	No (56, 193, 84)-net in base 2	[i]
33	No (56, 194, 84)-net in base 2	[i]
34	No (56, 195, 84)-net in base 2	[i]
35	No (56, 196, 84)-net in base 2	[i]
36	No (56, 197, 84)-net in base 2	[i]
37	No (56, 198, 84)-net in base 2	[i]
38	No (56, 199, 84)-net in base 2	[i]
39	No (56, 200, 84)-net in base 2	[i]
40	No (56, 201, 84)-net in base 2	[i]
41	No (56, 202, 84)-net in base 2	[i]
42	No (56, 203, 84)-net in base 2	[i]
43	No (56, 204, 84)-net in base 2	[i]
44	No (56, 205, 84)-net in base 2	[i]
45	No (56, 206, 84)-net in base 2	[i]
46	No (56, 207, 84)-net in base 2	[i]
47	No (56, 208, 84)-net in base 2	[i]
48	No (56, 209, 84)-net in base 2	[i]