MinT - Information on Result #522269

Information on Result #522269

There is no (42, 179, 183)-net in base 4, because extracting embedded orthogonal array would yield OA(4¹⁷⁹, 183, S₄, 137), but

the (dual) Plotkin bound shows that MÂ â‰¥ 18 788340 662190 665823 115844 774314 696219 005460 391266 558965 658327 772257 672200 916867 547709 591987 078149 624255 479808 / 23 > 4¹⁷⁹ [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 (42, 180, 183)-net in base 4	[i]	m-Reduction
2	No (42, 181, 183)-net in base 4	[i]
3	No (42, 182, 183)-net in base 4	[i]
4	No (42, 183, 183)-net in base 4	[i]
5	No (42, 184, 183)-net in base 4	[i]
6	No (42, 185, 183)-net in base 4	[i]
7	No (42, 186, 183)-net in base 4	[i]
8	No (42, 187, 183)-net in base 4	[i]
9	No (42, 188, 183)-net in base 4	[i]
10	No (42, 189, 183)-net in base 4	[i]
11	No (42, 190, 183)-net in base 4	[i]
12	No (42, 191, 183)-net in base 4	[i]
13	No (42, 192, 183)-net in base 4	[i]
14	No (42, 193, 183)-net in base 4	[i]
15	No (42, 194, 183)-net in base 4	[i]
16	No (42, 195, 183)-net in base 4	[i]
17	No (42, 196, 183)-net in base 4	[i]
18	No (42, 197, 183)-net in base 4	[i]
19	No (42, 198, 183)-net in base 4	[i]
20	No (42, 199, 183)-net in base 4	[i]
21	No (42, 200, 183)-net in base 4	[i]
22	No (42, 201, 183)-net in base 4	[i]
23	No (42, 202, 183)-net in base 4	[i]
24	No (42, 203, 183)-net in base 4	[i]
25	No (42, 204, 183)-net in base 4	[i]
26	No (42, 205, 183)-net in base 4	[i]
27	No (42, 206, 183)-net in base 4	[i]
28	No (42, 207, 183)-net in base 4	[i]
29	No (42, 208, 183)-net in base 4	[i]
30	No (42, 209, 183)-net in base 4	[i]
31	No (42, 210, 183)-net in base 4	[i]
32	No (42, 211, 183)-net in base 4	[i]
33	No (42, 212, 183)-net in base 4	[i]
34	No (42, 213, 183)-net in base 4	[i]
35	No (42, 214, 183)-net in base 4	[i]
36	No (42, 215, 183)-net in base 4	[i]
37	No (42, 216, 183)-net in base 4	[i]
38	No (42, 217, 183)-net in base 4	[i]
39	No (42, 218, 183)-net in base 4	[i]
40	No (42, 219, 183)-net in base 4	[i]
41	No (42, 220, 183)-net in base 4	[i]
42	No (42, 221, 183)-net in base 4	[i]
43	No (42, 222, 183)-net in base 4	[i]
44	No (42, 223, 183)-net in base 4	[i]
45	No (42, 224, 183)-net in base 4	[i]
46	No (42, 225, 183)-net in base 4	[i]
47	No (42, 226, 183)-net in base 4	[i]
48	No (42, 227, 183)-net in base 4	[i]
49	No (42, 228, 183)-net in base 4	[i]
50	No (42, 229, 183)-net in base 4	[i]
51	No (42, 230, 183)-net in base 4	[i]
52	No (42, 231, 183)-net in base 4	[i]
53	No (42, 232, 183)-net in base 4	[i]
54	No (42, 233, 183)-net in base 4	[i]
55	No (42, 234, 183)-net in base 4	[i]
56	No (42, 235, 183)-net in base 4	[i]
57	No (42, 236, 183)-net in base 4	[i]
58	No (42, 237, 183)-net in base 4	[i]
59	No (42, 238, 183)-net in base 4	[i]
60	No (42, 239, 183)-net in base 4	[i]
61	No (42, 240, 183)-net in base 4	[i]
62	No (42, 241, 183)-net in base 4	[i]
63	No (42, 242, 183)-net in base 4	[i]
64	No (42, 243, 183)-net in base 4	[i]
65	No (42, 244, 183)-net in base 4	[i]
66	No (42, 245, 183)-net in base 4	[i]
67	No (42, 246, 183)-net in base 4	[i]
68	No (42, 247, 183)-net in base 4	[i]
69	No (42, 248, 183)-net in base 4	[i]
70	No (42, 249, 183)-net in base 4	[i]
71	No (42, 250, 183)-net in base 4	[i]
72	No (42, 251, 183)-net in base 4	[i]
73	No (42, 252, 183)-net in base 4	[i]
74	No (42, 253, 183)-net in base 4	[i]
75	No (42, 254, 183)-net in base 4	[i]
76	No (42, 255, 183)-net in base 4	[i]
77	No (42, 256, 183)-net in base 4	[i]
78	No (42, 257, 183)-net in base 4	[i]
79	No (42, 258, 183)-net in base 4	[i]
80	No (42, 259, 183)-net in base 4	[i]
81	No (42, 260, 183)-net in base 4	[i]