MinT - Information on Result #522282

Information on Result #522282

There is no (43, 183, 187)-net in base 4, because extracting embedded orthogonal array would yield OA(4¹⁸³, 187, S₄, 140), but

the (dual) Plotkin bound shows that MÂ â‰¥ 9619 630419 041620 901435 312524 449124 464130 795720 328478 190417 063819 395928 166869 436184 427311 097384 012607 618805 661696 / 47 > 4¹⁸³ [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 (43, 184, 187)-net in base 4	[i]	m-Reduction
2	No (43, 185, 187)-net in base 4	[i]
3	No (43, 186, 187)-net in base 4	[i]
4	No (43, 187, 187)-net in base 4	[i]
5	No (43, 188, 187)-net in base 4	[i]
6	No (43, 189, 187)-net in base 4	[i]
7	No (43, 190, 187)-net in base 4	[i]
8	No (43, 191, 187)-net in base 4	[i]
9	No (43, 192, 187)-net in base 4	[i]
10	No (43, 193, 187)-net in base 4	[i]
11	No (43, 194, 187)-net in base 4	[i]
12	No (43, 195, 187)-net in base 4	[i]
13	No (43, 196, 187)-net in base 4	[i]
14	No (43, 197, 187)-net in base 4	[i]
15	No (43, 198, 187)-net in base 4	[i]
16	No (43, 199, 187)-net in base 4	[i]
17	No (43, 200, 187)-net in base 4	[i]
18	No (43, 201, 187)-net in base 4	[i]
19	No (43, 202, 187)-net in base 4	[i]
20	No (43, 203, 187)-net in base 4	[i]
21	No (43, 204, 187)-net in base 4	[i]
22	No (43, 205, 187)-net in base 4	[i]
23	No (43, 206, 187)-net in base 4	[i]
24	No (43, 207, 187)-net in base 4	[i]
25	No (43, 208, 187)-net in base 4	[i]
26	No (43, 209, 187)-net in base 4	[i]
27	No (43, 210, 187)-net in base 4	[i]
28	No (43, 211, 187)-net in base 4	[i]
29	No (43, 212, 187)-net in base 4	[i]
30	No (43, 213, 187)-net in base 4	[i]
31	No (43, 214, 187)-net in base 4	[i]
32	No (43, 215, 187)-net in base 4	[i]
33	No (43, 216, 187)-net in base 4	[i]
34	No (43, 217, 187)-net in base 4	[i]
35	No (43, 218, 187)-net in base 4	[i]
36	No (43, 219, 187)-net in base 4	[i]
37	No (43, 220, 187)-net in base 4	[i]
38	No (43, 221, 187)-net in base 4	[i]
39	No (43, 222, 187)-net in base 4	[i]
40	No (43, 223, 187)-net in base 4	[i]
41	No (43, 224, 187)-net in base 4	[i]
42	No (43, 225, 187)-net in base 4	[i]
43	No (43, 226, 187)-net in base 4	[i]
44	No (43, 227, 187)-net in base 4	[i]
45	No (43, 228, 187)-net in base 4	[i]
46	No (43, 229, 187)-net in base 4	[i]
47	No (43, 230, 187)-net in base 4	[i]
48	No (43, 231, 187)-net in base 4	[i]
49	No (43, 232, 187)-net in base 4	[i]
50	No (43, 233, 187)-net in base 4	[i]
51	No (43, 234, 187)-net in base 4	[i]
52	No (43, 235, 187)-net in base 4	[i]
53	No (43, 236, 187)-net in base 4	[i]
54	No (43, 237, 187)-net in base 4	[i]
55	No (43, 238, 187)-net in base 4	[i]
56	No (43, 239, 187)-net in base 4	[i]
57	No (43, 240, 187)-net in base 4	[i]
58	No (43, 241, 187)-net in base 4	[i]
59	No (43, 242, 187)-net in base 4	[i]
60	No (43, 243, 187)-net in base 4	[i]
61	No (43, 244, 187)-net in base 4	[i]
62	No (43, 245, 187)-net in base 4	[i]
63	No (43, 246, 187)-net in base 4	[i]
64	No (43, 247, 187)-net in base 4	[i]
65	No (43, 248, 187)-net in base 4	[i]
66	No (43, 249, 187)-net in base 4	[i]
67	No (43, 250, 187)-net in base 4	[i]
68	No (43, 251, 187)-net in base 4	[i]
69	No (43, 252, 187)-net in base 4	[i]
70	No (43, 253, 187)-net in base 4	[i]
71	No (43, 254, 187)-net in base 4	[i]
72	No (43, 255, 187)-net in base 4	[i]
73	No (43, 256, 187)-net in base 4	[i]
74	No (43, 257, 187)-net in base 4	[i]
75	No (43, 258, 187)-net in base 4	[i]
76	No (43, 259, 187)-net in base 4	[i]
77	No (43, 260, 187)-net in base 4	[i]