MinT - Information on Result #521483

Information on Result #521483

There is no (41, 119, 132)-net in base 3, because extracting embedded orthogonal array would yield OA(3¹¹⁹, 132, S₃, 78), but

the linear programming bound shows that MÂ â‰¥ 23379 936017 655610 429125 890884 181024 514039 893587 482992 919339 273663 / 33 418343 > 3¹¹⁹ [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 (41, 120, 132)-net in base 3	[i]	m-Reduction
2	No (41, 121, 132)-net in base 3	[i]
3	No (41, 122, 132)-net in base 3	[i]
4	No (41, 123, 132)-net in base 3	[i]
5	No (41, 124, 132)-net in base 3	[i]
6	No (41, 125, 132)-net in base 3	[i]
7	No (41, 126, 132)-net in base 3	[i]
8	No (41, 127, 132)-net in base 3	[i]
9	No (41, 128, 132)-net in base 3	[i]
10	No (41, 129, 132)-net in base 3	[i]
11	No (41, 130, 132)-net in base 3	[i]
12	No (41, 131, 132)-net in base 3	[i]
13	No (41, 132, 132)-net in base 3	[i]
14	No (41, 133, 132)-net in base 3	[i]
15	No (41, 134, 132)-net in base 3	[i]
16	No (41, 135, 132)-net in base 3	[i]
17	No (41, 136, 132)-net in base 3	[i]
18	No (41, 137, 132)-net in base 3	[i]
19	No (41, 138, 132)-net in base 3	[i]
20	No (41, 139, 132)-net in base 3	[i]
21	No (41, 140, 132)-net in base 3	[i]
22	No (41, 141, 132)-net in base 3	[i]
23	No (41, 142, 132)-net in base 3	[i]
24	No (41, 143, 132)-net in base 3	[i]
25	No (41, 144, 132)-net in base 3	[i]
26	No (41, 145, 132)-net in base 3	[i]
27	No (41, 146, 132)-net in base 3	[i]
28	No (41, 147, 132)-net in base 3	[i]
29	No (41, 148, 132)-net in base 3	[i]
30	No (41, 149, 132)-net in base 3	[i]
31	No (41, 150, 132)-net in base 3	[i]
32	No (41, 151, 132)-net in base 3	[i]
33	No (41, 152, 132)-net in base 3	[i]
34	No (41, 153, 132)-net in base 3	[i]
35	No (41, 154, 132)-net in base 3	[i]
36	No (41, 155, 132)-net in base 3	[i]
37	No (41, 156, 132)-net in base 3	[i]
38	No (41, 157, 132)-net in base 3	[i]
39	No (41, 158, 132)-net in base 3	[i]
40	No (41, 159, 132)-net in base 3	[i]
41	No (41, 160, 132)-net in base 3	[i]
42	No (41, 161, 132)-net in base 3	[i]
43	No (41, 162, 132)-net in base 3	[i]
44	No (41, 163, 132)-net in base 3	[i]
45	No (41, 164, 132)-net in base 3	[i]
46	No (41, 165, 132)-net in base 3	[i]
47	No (41, 166, 132)-net in base 3	[i]
48	No (41, 167, 132)-net in base 3	[i]
49	No (41, 168, 132)-net in base 3	[i]
50	No (41, 169, 132)-net in base 3	[i]
51	No (41, 170, 132)-net in base 3	[i]
52	No (41, 171, 132)-net in base 3	[i]
53	No (41, 172, 132)-net in base 3	[i]
54	No (41, 173, 132)-net in base 3	[i]
55	No (41, 174, 132)-net in base 3	[i]
56	No (41, 175, 132)-net in base 3	[i]
57	No (41, 176, 132)-net in base 3	[i]
58	No (41, 177, 132)-net in base 3	[i]
59	No (41, 178, 132)-net in base 3	[i]
60	No (41, 179, 132)-net in base 3	[i]
61	No (41, 180, 132)-net in base 3	[i]
62	No (41, 181, 132)-net in base 3	[i]
63	No (41, 182, 132)-net in base 3	[i]
64	No (41, 183, 132)-net in base 3	[i]
65	No (41, 184, 132)-net in base 3	[i]
66	No (41, 185, 132)-net in base 3	[i]
67	No (41, 186, 132)-net in base 3	[i]
68	No (41, 187, 132)-net in base 3	[i]
69	No (41, 188, 132)-net in base 3	[i]
70	No (41, 189, 132)-net in base 3	[i]
71	No (41, 190, 132)-net in base 3	[i]
72	No (41, 191, 132)-net in base 3	[i]
73	No (41, 192, 132)-net in base 3	[i]
74	No (41, 193, 132)-net in base 3	[i]
75	No (41, 194, 132)-net in base 3	[i]
76	No (41, 195, 132)-net in base 3	[i]
77	No (41, 196, 132)-net in base 3	[i]
78	No (41, 197, 132)-net in base 3	[i]
79	No (41, 198, 132)-net in base 3	[i]
80	No (41, 199, 132)-net in base 3	[i]
81	No (41, 200, 132)-net in base 3	[i]