MinT - Information on Result #521525

Information on Result #521525

There is no (49, 156, 161)-net in base 3, because extracting embedded orthogonal array would yield OA(3¹⁵⁶, 161, S₃, 107), but

the (dual) Plotkin bound shows that MÂ â‰¥ 809 164816 771822 689786 320611 221860 560835 816670 552324 143733 808294 394923 420563 / 2 > 3¹⁵⁶ [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 (49, 157, 161)-net in base 3	[i]	m-Reduction
2	No (49, 158, 161)-net in base 3	[i]
3	No (49, 159, 161)-net in base 3	[i]
4	No (49, 160, 161)-net in base 3	[i]
5	No (49, 161, 161)-net in base 3	[i]
6	No (49, 162, 161)-net in base 3	[i]
7	No (49, 163, 161)-net in base 3	[i]
8	No (49, 164, 161)-net in base 3	[i]
9	No (49, 165, 161)-net in base 3	[i]
10	No (49, 166, 161)-net in base 3	[i]
11	No (49, 167, 161)-net in base 3	[i]
12	No (49, 168, 161)-net in base 3	[i]
13	No (49, 169, 161)-net in base 3	[i]
14	No (49, 170, 161)-net in base 3	[i]
15	No (49, 171, 161)-net in base 3	[i]
16	No (49, 172, 161)-net in base 3	[i]
17	No (49, 173, 161)-net in base 3	[i]
18	No (49, 174, 161)-net in base 3	[i]
19	No (49, 175, 161)-net in base 3	[i]
20	No (49, 176, 161)-net in base 3	[i]
21	No (49, 177, 161)-net in base 3	[i]
22	No (49, 178, 161)-net in base 3	[i]
23	No (49, 179, 161)-net in base 3	[i]
24	No (49, 180, 161)-net in base 3	[i]
25	No (49, 181, 161)-net in base 3	[i]
26	No (49, 182, 161)-net in base 3	[i]
27	No (49, 183, 161)-net in base 3	[i]
28	No (49, 184, 161)-net in base 3	[i]
29	No (49, 185, 161)-net in base 3	[i]
30	No (49, 186, 161)-net in base 3	[i]
31	No (49, 187, 161)-net in base 3	[i]
32	No (49, 188, 161)-net in base 3	[i]
33	No (49, 189, 161)-net in base 3	[i]
34	No (49, 190, 161)-net in base 3	[i]
35	No (49, 191, 161)-net in base 3	[i]
36	No (49, 192, 161)-net in base 3	[i]
37	No (49, 193, 161)-net in base 3	[i]
38	No (49, 194, 161)-net in base 3	[i]
39	No (49, 195, 161)-net in base 3	[i]
40	No (49, 196, 161)-net in base 3	[i]
41	No (49, 197, 161)-net in base 3	[i]
42	No (49, 198, 161)-net in base 3	[i]
43	No (49, 199, 161)-net in base 3	[i]
44	No (49, 200, 161)-net in base 3	[i]
45	No (49, 201, 161)-net in base 3	[i]
46	No (49, 202, 161)-net in base 3	[i]
47	No (49, 203, 161)-net in base 3	[i]
48	No (49, 204, 161)-net in base 3	[i]
49	No (49, 205, 161)-net in base 3	[i]
50	No (49, 206, 161)-net in base 3	[i]
51	No (49, 207, 161)-net in base 3	[i]
52	No (49, 208, 161)-net in base 3	[i]
53	No (49, 209, 161)-net in base 3	[i]
54	No (49, 210, 161)-net in base 3	[i]
55	No (49, 211, 161)-net in base 3	[i]
56	No (49, 212, 161)-net in base 3	[i]
57	No (49, 213, 161)-net in base 3	[i]
58	No (49, 214, 161)-net in base 3	[i]
59	No (49, 215, 161)-net in base 3	[i]
60	No (49, 216, 161)-net in base 3	[i]
61	No (49, 217, 161)-net in base 3	[i]
62	No (49, 218, 161)-net in base 3	[i]
63	No (49, 219, 161)-net in base 3	[i]
64	No (49, 220, 161)-net in base 3	[i]
65	No (49, 221, 161)-net in base 3	[i]
66	No (49, 222, 161)-net in base 3	[i]
67	No (49, 223, 161)-net in base 3	[i]
68	No (49, 224, 161)-net in base 3	[i]
69	No (49, 225, 161)-net in base 3	[i]
70	No (49, 226, 161)-net in base 3	[i]
71	No (49, 227, 161)-net in base 3	[i]
72	No (49, 228, 161)-net in base 3	[i]
73	No (49, 229, 161)-net in base 3	[i]
74	No (49, 230, 161)-net in base 3	[i]
75	No (49, 231, 161)-net in base 3	[i]
76	No (49, 232, 161)-net in base 3	[i]
77	No (49, 233, 161)-net in base 3	[i]
78	No (49, 234, 161)-net in base 3	[i]
79	No (49, 235, 161)-net in base 3	[i]
80	No (49, 236, 161)-net in base 3	[i]
81	No (49, 237, 161)-net in base 3	[i]
82	No (49, 238, 161)-net in base 3	[i]