MinT - Information on Result #599058

Information on Result #599058

There is no digital (53, 161, 167)-net over F₃, because extracting embedded orthogonal array would yield linear OA(3¹⁶¹, 167, F₃, 108) (dual of [167, 6, 109]-code), but

residual code [i] would yield linear OA(3⁵³, 58, F₃, 36) (dual of [58, 5, 37]-code), but
- residual code [i] would yield linear OA(3¹⁷, 21, F₃, 12) (dual of [21, 4, 13]-code), but
  - â€œHNâ€ 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 (53, 162, 167)-net over F₃	[i]	m-Reduction
2	No digital (53, 163, 167)-net over F₃	[i]
3	No digital (53, 164, 167)-net over F₃	[i]
4	No digital (53, 165, 167)-net over F₃	[i]
5	No digital (53, 166, 167)-net over F₃	[i]
6	No digital (53, 167, 167)-net over F₃	[i]
7	No digital (53, 168, 167)-net over F₃	[i]
8	No digital (53, 169, 167)-net over F₃	[i]
9	No digital (53, 170, 167)-net over F₃	[i]
10	No digital (53, 171, 167)-net over F₃	[i]
11	No digital (53, 172, 167)-net over F₃	[i]
12	No digital (53, 173, 167)-net over F₃	[i]
13	No digital (53, 174, 167)-net over F₃	[i]
14	No digital (53, 175, 167)-net over F₃	[i]
15	No digital (53, 176, 167)-net over F₃	[i]
16	No digital (53, 177, 167)-net over F₃	[i]
17	No digital (53, 178, 167)-net over F₃	[i]
18	No digital (53, 179, 167)-net over F₃	[i]
19	No digital (53, 180, 167)-net over F₃	[i]
20	No digital (53, 181, 167)-net over F₃	[i]
21	No digital (53, 182, 167)-net over F₃	[i]
22	No digital (53, 183, 167)-net over F₃	[i]
23	No digital (53, 184, 167)-net over F₃	[i]
24	No digital (53, 185, 167)-net over F₃	[i]
25	No digital (53, 186, 167)-net over F₃	[i]
26	No digital (53, 187, 167)-net over F₃	[i]
27	No digital (53, 188, 167)-net over F₃	[i]
28	No digital (53, 189, 167)-net over F₃	[i]
29	No digital (53, 190, 167)-net over F₃	[i]
30	No digital (53, 191, 167)-net over F₃	[i]
31	No digital (53, 192, 167)-net over F₃	[i]
32	No digital (53, 193, 167)-net over F₃	[i]
33	No digital (53, 194, 167)-net over F₃	[i]
34	No digital (53, 195, 167)-net over F₃	[i]
35	No digital (53, 196, 167)-net over F₃	[i]
36	No digital (53, 197, 167)-net over F₃	[i]
37	No digital (53, 198, 167)-net over F₃	[i]
38	No digital (53, 199, 167)-net over F₃	[i]
39	No digital (53, 200, 167)-net over F₃	[i]
40	No digital (53, 201, 167)-net over F₃	[i]
41	No digital (53, 202, 167)-net over F₃	[i]
42	No digital (53, 203, 167)-net over F₃	[i]
43	No digital (53, 204, 167)-net over F₃	[i]
44	No digital (53, 205, 167)-net over F₃	[i]
45	No digital (53, 206, 167)-net over F₃	[i]
46	No digital (53, 207, 167)-net over F₃	[i]
47	No digital (53, 208, 167)-net over F₃	[i]
48	No digital (53, 209, 167)-net over F₃	[i]
49	No digital (53, 210, 167)-net over F₃	[i]
50	No digital (53, 211, 167)-net over F₃	[i]
51	No digital (53, 212, 167)-net over F₃	[i]
52	No digital (53, 213, 167)-net over F₃	[i]
53	No digital (53, 214, 167)-net over F₃	[i]
54	No digital (53, 215, 167)-net over F₃	[i]
55	No digital (53, 216, 167)-net over F₃	[i]
56	No digital (53, 217, 167)-net over F₃	[i]
57	No digital (53, 218, 167)-net over F₃	[i]
58	No digital (53, 219, 167)-net over F₃	[i]
59	No digital (53, 220, 167)-net over F₃	[i]
60	No digital (53, 221, 167)-net over F₃	[i]
61	No digital (53, 222, 167)-net over F₃	[i]
62	No digital (53, 223, 167)-net over F₃	[i]
63	No digital (53, 224, 167)-net over F₃	[i]
64	No digital (53, 225, 167)-net over F₃	[i]
65	No digital (53, 226, 167)-net over F₃	[i]
66	No digital (53, 227, 167)-net over F₃	[i]
67	No digital (53, 228, 167)-net over F₃	[i]
68	No digital (53, 229, 167)-net over F₃	[i]
69	No digital (53, 230, 167)-net over F₃	[i]
70	No digital (53, 231, 167)-net over F₃	[i]
71	No digital (53, 232, 167)-net over F₃	[i]
72	No digital (53, 233, 167)-net over F₃	[i]
73	No digital (53, 234, 167)-net over F₃	[i]
74	No digital (53, 235, 167)-net over F₃	[i]
75	No digital (53, 236, 167)-net over F₃	[i]
76	No digital (53, 237, 167)-net over F₃	[i]
77	No digital (53, 238, 167)-net over F₃	[i]
78	No digital (53, 239, 167)-net over F₃	[i]
79	No digital (53, 240, 167)-net over F₃	[i]
80	No digital (53, 241, 167)-net over F₃	[i]
81	No digital (53, 242, 167)-net over F₃	[i]
82	No digital (53, 243, 167)-net over F₃	[i]
83	No digital (53, 244, 167)-net over F₃	[i]
84	No digital (53, 245, 167)-net over F₃	[i]
85	No digital (53, 246, 167)-net over F₃	[i]
86	No digital (53, 247, 167)-net over F₃	[i]
87	No digital (53, 248, 167)-net over F₃	[i]
88	No digital (53, 249, 167)-net over F₃	[i]
89	No digital (53, 250, 167)-net over F₃	[i]