MinT - Information on Result #521442

Information on Result #521442

There is no (37, 108, 121)-net in base 3, because extracting embedded orthogonal array would yield OA(3¹⁰⁸, 121, S₃, 71), but

the linear programming bound shows that MÂ â‰¥ 16 463997 226942 154563 727248 349077 822257 696630 163050 643509 / 3649 > 3¹⁰⁸ [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 (37, 109, 121)-net in base 3	[i]	m-Reduction
2	No (37, 110, 121)-net in base 3	[i]
3	No (37, 111, 121)-net in base 3	[i]
4	No (37, 112, 121)-net in base 3	[i]
5	No (37, 113, 121)-net in base 3	[i]
6	No (37, 114, 121)-net in base 3	[i]
7	No (37, 115, 121)-net in base 3	[i]
8	No (37, 116, 121)-net in base 3	[i]
9	No (37, 117, 121)-net in base 3	[i]
10	No (37, 118, 121)-net in base 3	[i]
11	No (37, 119, 121)-net in base 3	[i]
12	No (37, 120, 121)-net in base 3	[i]
13	No (37, 121, 121)-net in base 3	[i]
14	No (37, 122, 121)-net in base 3	[i]
15	No (37, 123, 121)-net in base 3	[i]
16	No (37, 124, 121)-net in base 3	[i]
17	No (37, 125, 121)-net in base 3	[i]
18	No (37, 126, 121)-net in base 3	[i]
19	No (37, 127, 121)-net in base 3	[i]
20	No (37, 128, 121)-net in base 3	[i]
21	No (37, 129, 121)-net in base 3	[i]
22	No (37, 130, 121)-net in base 3	[i]
23	No (37, 131, 121)-net in base 3	[i]
24	No (37, 132, 121)-net in base 3	[i]
25	No (37, 133, 121)-net in base 3	[i]
26	No (37, 134, 121)-net in base 3	[i]
27	No (37, 135, 121)-net in base 3	[i]
28	No (37, 136, 121)-net in base 3	[i]
29	No (37, 137, 121)-net in base 3	[i]
30	No (37, 138, 121)-net in base 3	[i]
31	No (37, 139, 121)-net in base 3	[i]
32	No (37, 140, 121)-net in base 3	[i]
33	No (37, 141, 121)-net in base 3	[i]
34	No (37, 142, 121)-net in base 3	[i]
35	No (37, 143, 121)-net in base 3	[i]
36	No (37, 144, 121)-net in base 3	[i]
37	No (37, 145, 121)-net in base 3	[i]
38	No (37, 146, 121)-net in base 3	[i]
39	No (37, 147, 121)-net in base 3	[i]
40	No (37, 148, 121)-net in base 3	[i]
41	No (37, 149, 121)-net in base 3	[i]
42	No (37, 150, 121)-net in base 3	[i]
43	No (37, 151, 121)-net in base 3	[i]
44	No (37, 152, 121)-net in base 3	[i]
45	No (37, 153, 121)-net in base 3	[i]
46	No (37, 154, 121)-net in base 3	[i]
47	No (37, 155, 121)-net in base 3	[i]
48	No (37, 156, 121)-net in base 3	[i]
49	No (37, 157, 121)-net in base 3	[i]
50	No (37, 158, 121)-net in base 3	[i]
51	No (37, 159, 121)-net in base 3	[i]
52	No (37, 160, 121)-net in base 3	[i]
53	No (37, 161, 121)-net in base 3	[i]
54	No (37, 162, 121)-net in base 3	[i]
55	No (37, 163, 121)-net in base 3	[i]
56	No (37, 164, 121)-net in base 3	[i]
57	No (37, 165, 121)-net in base 3	[i]
58	No (37, 166, 121)-net in base 3	[i]
59	No (37, 167, 121)-net in base 3	[i]
60	No (37, 168, 121)-net in base 3	[i]
61	No (37, 169, 121)-net in base 3	[i]
62	No (37, 170, 121)-net in base 3	[i]
63	No (37, 171, 121)-net in base 3	[i]
64	No (37, 172, 121)-net in base 3	[i]
65	No (37, 173, 121)-net in base 3	[i]
66	No (37, 174, 121)-net in base 3	[i]
67	No (37, 175, 121)-net in base 3	[i]
68	No (37, 176, 121)-net in base 3	[i]
69	No (37, 177, 121)-net in base 3	[i]
70	No (37, 178, 121)-net in base 3	[i]
71	No (37, 179, 121)-net in base 3	[i]
72	No (37, 180, 121)-net in base 3	[i]
73	No (37, 181, 121)-net in base 3	[i]
74	No (37, 182, 121)-net in base 3	[i]