MinT - Information on Result #520537

Information on Result #520537

There is no (58, 167, 87)-net in base 2, because extracting embedded OOA would yield OOA(2¹⁶⁷, 87, S₂, 2, 109), but

the (dual) Plotkin bound for OOAs shows that MÂ â‰¥ 2993 155353 253689 176481 146537 402947 624255 349848 014848 / 11 > 2¹⁶⁷ [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 (58, 168, 87)-net in base 2	[i]	m-Reduction
2	No (58, 169, 87)-net in base 2	[i]
3	No (58, 170, 87)-net in base 2	[i]
4	No (58, 171, 87)-net in base 2	[i]
5	No (58, 172, 87)-net in base 2	[i]
6	No (58, 173, 87)-net in base 2	[i]
7	No (58, 174, 87)-net in base 2	[i]
8	No (58, 175, 87)-net in base 2	[i]
9	No (58, 176, 87)-net in base 2	[i]
10	No (58, 177, 87)-net in base 2	[i]
11	No (58, 178, 87)-net in base 2	[i]
12	No (58, 179, 87)-net in base 2	[i]
13	No (58, 180, 87)-net in base 2	[i]
14	No (58, 181, 87)-net in base 2	[i]
15	No (58, 182, 87)-net in base 2	[i]
16	No (58, 183, 87)-net in base 2	[i]
17	No (58, 184, 87)-net in base 2	[i]
18	No (58, 185, 87)-net in base 2	[i]
19	No (58, 186, 87)-net in base 2	[i]
20	No (58, 187, 87)-net in base 2	[i]
21	No (58, 188, 87)-net in base 2	[i]
22	No (58, 189, 87)-net in base 2	[i]
23	No (58, 190, 87)-net in base 2	[i]
24	No (58, 191, 87)-net in base 2	[i]
25	No (58, 192, 87)-net in base 2	[i]
26	No (58, 193, 87)-net in base 2	[i]
27	No (58, 194, 87)-net in base 2	[i]
28	No (58, 195, 87)-net in base 2	[i]
29	No (58, 196, 87)-net in base 2	[i]
30	No (58, 197, 87)-net in base 2	[i]
31	No (58, 198, 87)-net in base 2	[i]
32	No (58, 199, 87)-net in base 2	[i]
33	No (58, 200, 87)-net in base 2	[i]
34	No (58, 201, 87)-net in base 2	[i]
35	No (58, 202, 87)-net in base 2	[i]
36	No (58, 203, 87)-net in base 2	[i]
37	No (58, 204, 87)-net in base 2	[i]
38	No (58, 205, 87)-net in base 2	[i]
39	No (58, 206, 87)-net in base 2	[i]
40	No (58, 207, 87)-net in base 2	[i]
41	No (58, 208, 87)-net in base 2	[i]
42	No (58, 209, 87)-net in base 2	[i]
43	No (58, 210, 87)-net in base 2	[i]
44	No (58, 211, 87)-net in base 2	[i]
45	No (58, 212, 87)-net in base 2	[i]
46	No (58, 213, 87)-net in base 2	[i]
47	No (58, 214, 87)-net in base 2	[i]
48	No (58, 215, 87)-net in base 2	[i]
49	No (58, 216, 87)-net in base 2	[i]
50	No (58, 217, 87)-net in base 2	[i]