MinT - Information on Result #520551

Information on Result #520551

There is no (60, 172, 90)-net in base 2, because extracting embedded OOA would yield OOA(2¹⁷², 90, S₂, 2, 112), but

the (dual) Plotkin bound for OOAs shows that MÂ â‰¥ 766247 770432 944429 179173 513575 154591 809369 561091 801088 / 113 > 2¹⁷² [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 (60, 173, 90)-net in base 2	[i]	m-Reduction
2	No (60, 174, 90)-net in base 2	[i]
3	No (60, 175, 90)-net in base 2	[i]
4	No (60, 176, 90)-net in base 2	[i]
5	No (60, 177, 90)-net in base 2	[i]
6	No (60, 178, 90)-net in base 2	[i]
7	No (60, 179, 90)-net in base 2	[i]
8	No (60, 180, 90)-net in base 2	[i]
9	No (60, 181, 90)-net in base 2	[i]
10	No (60, 182, 90)-net in base 2	[i]
11	No (60, 183, 90)-net in base 2	[i]
12	No (60, 184, 90)-net in base 2	[i]
13	No (60, 185, 90)-net in base 2	[i]
14	No (60, 186, 90)-net in base 2	[i]
15	No (60, 187, 90)-net in base 2	[i]
16	No (60, 188, 90)-net in base 2	[i]
17	No (60, 189, 90)-net in base 2	[i]
18	No (60, 190, 90)-net in base 2	[i]
19	No (60, 191, 90)-net in base 2	[i]
20	No (60, 192, 90)-net in base 2	[i]
21	No (60, 193, 90)-net in base 2	[i]
22	No (60, 194, 90)-net in base 2	[i]
23	No (60, 195, 90)-net in base 2	[i]
24	No (60, 196, 90)-net in base 2	[i]
25	No (60, 197, 90)-net in base 2	[i]
26	No (60, 198, 90)-net in base 2	[i]
27	No (60, 199, 90)-net in base 2	[i]
28	No (60, 200, 90)-net in base 2	[i]
29	No (60, 201, 90)-net in base 2	[i]
30	No (60, 202, 90)-net in base 2	[i]
31	No (60, 203, 90)-net in base 2	[i]
32	No (60, 204, 90)-net in base 2	[i]
33	No (60, 205, 90)-net in base 2	[i]
34	No (60, 206, 90)-net in base 2	[i]
35	No (60, 207, 90)-net in base 2	[i]
36	No (60, 208, 90)-net in base 2	[i]
37	No (60, 209, 90)-net in base 2	[i]
38	No (60, 210, 90)-net in base 2	[i]
39	No (60, 211, 90)-net in base 2	[i]
40	No (60, 212, 90)-net in base 2	[i]
41	No (60, 213, 90)-net in base 2	[i]
42	No (60, 214, 90)-net in base 2	[i]
43	No (60, 215, 90)-net in base 2	[i]
44	No (60, 216, 90)-net in base 2	[i]
45	No (60, 217, 90)-net in base 2	[i]
46	No (60, 218, 90)-net in base 2	[i]
47	No (60, 219, 90)-net in base 2	[i]
48	No (60, 220, 90)-net in base 2	[i]
49	No (60, 221, 90)-net in base 2	[i]
50	No (60, 222, 90)-net in base 2	[i]
51	No (60, 223, 90)-net in base 2	[i]