MinT - Information on Result #522054

Information on Result #522054

There is no (22, 160, 82)-net in base 4, because extracting embedded OOA would yield OOA(4¹⁶⁰, 82, S₄, 2, 138), but

the (dual) Plotkin bound for OOAs shows that MÂ â‰¥ 341 757925 747345 613183 203472 987128 338336 432723 577064 443191 526657 251555 156124 902488 003673 933909 852160 / 139 > 4¹⁶⁰ [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 (22, 161, 82)-net in base 4	[i]	m-Reduction
2	No (22, 162, 82)-net in base 4	[i]
3	No (22, 163, 82)-net in base 4	[i]
4	No (22, 164, 82)-net in base 4	[i]
5	No (22, 165, 82)-net in base 4	[i]
6	No (22, 166, 82)-net in base 4	[i]
7	No (22, 167, 82)-net in base 4	[i]
8	No (22, 168, 82)-net in base 4	[i]
9	No (22, 169, 82)-net in base 4	[i]
10	No (22, 170, 82)-net in base 4	[i]
11	No (22, 171, 82)-net in base 4	[i]
12	No (22, 172, 82)-net in base 4	[i]
13	No (22, 173, 82)-net in base 4	[i]
14	No (22, 174, 82)-net in base 4	[i]
15	No (22, 175, 82)-net in base 4	[i]
16	No (22, 176, 82)-net in base 4	[i]
17	No (22, 177, 82)-net in base 4	[i]
18	No (22, 178, 82)-net in base 4	[i]
19	No (22, 179, 82)-net in base 4	[i]
20	No (22, 180, 82)-net in base 4	[i]
21	No (22, 181, 82)-net in base 4	[i]
22	No (22, 182, 82)-net in base 4	[i]
23	No (22, 183, 82)-net in base 4	[i]
24	No (22, 184, 82)-net in base 4	[i]
25	No (22, 185, 82)-net in base 4	[i]
26	No (22, 186, 82)-net in base 4	[i]
27	No (22, 187, 82)-net in base 4	[i]
28	No (22, 188, 82)-net in base 4	[i]
29	No (22, 189, 82)-net in base 4	[i]
30	No (22, 190, 82)-net in base 4	[i]
31	No (22, 191, 82)-net in base 4	[i]
32	No (22, 192, 82)-net in base 4	[i]
33	No (22, 193, 82)-net in base 4	[i]
34	No (22, 194, 82)-net in base 4	[i]
35	No (22, 195, 82)-net in base 4	[i]
36	No (22, 196, 82)-net in base 4	[i]
37	No (22, 197, 82)-net in base 4	[i]
38	No (22, 198, 82)-net in base 4	[i]
39	No (22, 199, 82)-net in base 4	[i]
40	No (22, 200, 82)-net in base 4	[i]
41	No (22, 201, 82)-net in base 4	[i]
42	No (22, 202, 82)-net in base 4	[i]
43	No (22, 203, 82)-net in base 4	[i]
44	No (22, 204, 82)-net in base 4	[i]
45	No (22, 205, 82)-net in base 4	[i]
46	No (22, 206, 82)-net in base 4	[i]
47	No (22, 207, 82)-net in base 4	[i]
48	No (22, 208, 82)-net in base 4	[i]
49	No (22, 209, 82)-net in base 4	[i]
50	No (22, 210, 82)-net in base 4	[i]
51	No (22, 211, 82)-net in base 4	[i]
52	No (22, 212, 82)-net in base 4	[i]
53	No (22, 213, 82)-net in base 4	[i]
54	No (22, 214, 82)-net in base 4	[i]
55	No (22, 215, 82)-net in base 4	[i]
56	No (22, 216, 82)-net in base 4	[i]
57	No (22, 217, 82)-net in base 4	[i]
58	No (22, 218, 82)-net in base 4	[i]
59	No (22, 219, 82)-net in base 4	[i]
60	No (22, 220, 82)-net in base 4	[i]
61	No (22, 221, 82)-net in base 4	[i]
62	No (22, 222, 82)-net in base 4	[i]
63	No (22, 223, 82)-net in base 4	[i]
64	No (22, 224, 82)-net in base 4	[i]
65	No (22, 225, 82)-net in base 4	[i]
66	No (22, 226, 82)-net in base 4	[i]
67	No (22, 227, 82)-net in base 4	[i]
68	No (22, 228, 82)-net in base 4	[i]
69	No (22, 229, 82)-net in base 4	[i]
70	No (22, 230, 82)-net in base 4	[i]
71	No (22, 231, 82)-net in base 4	[i]
72	No (22, 232, 82)-net in base 4	[i]