MinT - Information on Result #599036

Information on Result #599036

There is no digital (50, 152, 162)-net over F₃, because extracting embedded orthogonal array would yield linear OA(3¹⁵², 162, F₃, 102) (dual of [162, 10, 103]-code), but

residual code [i] would yield linear OA(3⁵⁰, 59, F₃, 34) (dual of [59, 9, 35]-code), but
- 1 times truncation [i] would yield linear OA(3⁴⁹, 58, F₃, 33) (dual of [58, 9, 34]-code), but
  - residual code [i] would yield linear OA(3¹⁶, 24, F₃, 11) (dual of [24, 8, 12]-code), but
    - â€œBSâ€ bound on codes from Brouwerâ€™s database [i]

Mode: Bound (linear).

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 digital (50, 153, 162)-net over F₃	[i]	m-Reduction
2	No digital (50, 154, 162)-net over F₃	[i]
3	No digital (50, 155, 162)-net over F₃	[i]
4	No digital (50, 156, 162)-net over F₃	[i]
5	No digital (50, 157, 162)-net over F₃	[i]
6	No digital (50, 158, 162)-net over F₃	[i]
7	No digital (50, 159, 162)-net over F₃	[i]
8	No digital (50, 160, 162)-net over F₃	[i]
9	No digital (50, 161, 162)-net over F₃	[i]
10	No digital (50, 162, 162)-net over F₃	[i]
11	No digital (50, 163, 162)-net over F₃	[i]
12	No digital (50, 164, 162)-net over F₃	[i]
13	No digital (50, 165, 162)-net over F₃	[i]
14	No digital (50, 166, 162)-net over F₃	[i]
15	No digital (50, 167, 162)-net over F₃	[i]
16	No digital (50, 168, 162)-net over F₃	[i]
17	No digital (50, 169, 162)-net over F₃	[i]
18	No digital (50, 170, 162)-net over F₃	[i]
19	No digital (50, 171, 162)-net over F₃	[i]
20	No digital (50, 172, 162)-net over F₃	[i]
21	No digital (50, 173, 162)-net over F₃	[i]
22	No digital (50, 174, 162)-net over F₃	[i]
23	No digital (50, 175, 162)-net over F₃	[i]
24	No digital (50, 176, 162)-net over F₃	[i]
25	No digital (50, 177, 162)-net over F₃	[i]
26	No digital (50, 178, 162)-net over F₃	[i]
27	No digital (50, 179, 162)-net over F₃	[i]
28	No digital (50, 180, 162)-net over F₃	[i]
29	No digital (50, 181, 162)-net over F₃	[i]
30	No digital (50, 182, 162)-net over F₃	[i]
31	No digital (50, 183, 162)-net over F₃	[i]
32	No digital (50, 184, 162)-net over F₃	[i]
33	No digital (50, 185, 162)-net over F₃	[i]
34	No digital (50, 186, 162)-net over F₃	[i]
35	No digital (50, 187, 162)-net over F₃	[i]
36	No digital (50, 188, 162)-net over F₃	[i]
37	No digital (50, 189, 162)-net over F₃	[i]
38	No digital (50, 190, 162)-net over F₃	[i]
39	No digital (50, 191, 162)-net over F₃	[i]
40	No digital (50, 192, 162)-net over F₃	[i]
41	No digital (50, 193, 162)-net over F₃	[i]
42	No digital (50, 194, 162)-net over F₃	[i]
43	No digital (50, 195, 162)-net over F₃	[i]
44	No digital (50, 196, 162)-net over F₃	[i]
45	No digital (50, 197, 162)-net over F₃	[i]
46	No digital (50, 198, 162)-net over F₃	[i]
47	No digital (50, 199, 162)-net over F₃	[i]
48	No digital (50, 200, 162)-net over F₃	[i]
49	No digital (50, 201, 162)-net over F₃	[i]
50	No digital (50, 202, 162)-net over F₃	[i]
51	No digital (50, 203, 162)-net over F₃	[i]
52	No digital (50, 204, 162)-net over F₃	[i]
53	No digital (50, 205, 162)-net over F₃	[i]
54	No digital (50, 206, 162)-net over F₃	[i]
55	No digital (50, 207, 162)-net over F₃	[i]
56	No digital (50, 208, 162)-net over F₃	[i]
57	No digital (50, 209, 162)-net over F₃	[i]
58	No digital (50, 210, 162)-net over F₃	[i]
59	No digital (50, 211, 162)-net over F₃	[i]
60	No digital (50, 212, 162)-net over F₃	[i]
61	No digital (50, 213, 162)-net over F₃	[i]
62	No digital (50, 214, 162)-net over F₃	[i]
63	No digital (50, 215, 162)-net over F₃	[i]
64	No digital (50, 216, 162)-net over F₃	[i]
65	No digital (50, 217, 162)-net over F₃	[i]
66	No digital (50, 218, 162)-net over F₃	[i]
67	No digital (50, 219, 162)-net over F₃	[i]
68	No digital (50, 220, 162)-net over F₃	[i]
69	No digital (50, 221, 162)-net over F₃	[i]
70	No digital (50, 222, 162)-net over F₃	[i]
71	No digital (50, 223, 162)-net over F₃	[i]
72	No digital (50, 224, 162)-net over F₃	[i]
73	No digital (50, 225, 162)-net over F₃	[i]
74	No digital (50, 226, 162)-net over F₃	[i]
75	No digital (50, 227, 162)-net over F₃	[i]
76	No digital (50, 228, 162)-net over F₃	[i]
77	No digital (50, 229, 162)-net over F₃	[i]
78	No digital (50, 230, 162)-net over F₃	[i]
79	No digital (50, 231, 162)-net over F₃	[i]
80	No digital (50, 232, 162)-net over F₃	[i]
81	No digital (50, 233, 162)-net over F₃	[i]
82	No digital (50, 234, 162)-net over F₃	[i]
83	No digital (50, 235, 162)-net over F₃	[i]
84	No digital (50, 236, 162)-net over F₃	[i]
85	No digital (50, 237, 162)-net over F₃	[i]
86	No digital (50, 238, 162)-net over F₃	[i]
87	No digital (50, 239, 162)-net over F₃	[i]
88	No digital (50, 240, 162)-net over F₃	[i]
89	No digital (50, 241, 162)-net over F₃	[i]
90	No digital (50, 242, 162)-net over F₃	[i]