MinT - Information on Result #599029

Information on Result #599029

There is no digital (49, 148, 158)-net over F₃, because extracting embedded orthogonal array would yield linear OA(3¹⁴⁸, 158, F₃, 99) (dual of [158, 10, 100]-code), but

residual code [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 (49, 149, 158)-net over F₃	[i]	m-Reduction
2	No digital (49, 150, 158)-net over F₃	[i]
3	No digital (49, 151, 158)-net over F₃	[i]
4	No digital (49, 152, 158)-net over F₃	[i]
5	No digital (49, 153, 158)-net over F₃	[i]
6	No digital (49, 154, 158)-net over F₃	[i]
7	No digital (49, 155, 158)-net over F₃	[i]
8	No digital (49, 156, 158)-net over F₃	[i]
9	No digital (49, 157, 158)-net over F₃	[i]
10	No digital (49, 158, 158)-net over F₃	[i]
11	No digital (49, 159, 158)-net over F₃	[i]
12	No digital (49, 160, 158)-net over F₃	[i]
13	No digital (49, 161, 158)-net over F₃	[i]
14	No digital (49, 162, 158)-net over F₃	[i]
15	No digital (49, 163, 158)-net over F₃	[i]
16	No digital (49, 164, 158)-net over F₃	[i]
17	No digital (49, 165, 158)-net over F₃	[i]
18	No digital (49, 166, 158)-net over F₃	[i]
19	No digital (49, 167, 158)-net over F₃	[i]
20	No digital (49, 168, 158)-net over F₃	[i]
21	No digital (49, 169, 158)-net over F₃	[i]
22	No digital (49, 170, 158)-net over F₃	[i]
23	No digital (49, 171, 158)-net over F₃	[i]
24	No digital (49, 172, 158)-net over F₃	[i]
25	No digital (49, 173, 158)-net over F₃	[i]
26	No digital (49, 174, 158)-net over F₃	[i]
27	No digital (49, 175, 158)-net over F₃	[i]
28	No digital (49, 176, 158)-net over F₃	[i]
29	No digital (49, 177, 158)-net over F₃	[i]
30	No digital (49, 178, 158)-net over F₃	[i]
31	No digital (49, 179, 158)-net over F₃	[i]
32	No digital (49, 180, 158)-net over F₃	[i]
33	No digital (49, 181, 158)-net over F₃	[i]
34	No digital (49, 182, 158)-net over F₃	[i]
35	No digital (49, 183, 158)-net over F₃	[i]
36	No digital (49, 184, 158)-net over F₃	[i]
37	No digital (49, 185, 158)-net over F₃	[i]
38	No digital (49, 186, 158)-net over F₃	[i]
39	No digital (49, 187, 158)-net over F₃	[i]
40	No digital (49, 188, 158)-net over F₃	[i]
41	No digital (49, 189, 158)-net over F₃	[i]
42	No digital (49, 190, 158)-net over F₃	[i]
43	No digital (49, 191, 158)-net over F₃	[i]
44	No digital (49, 192, 158)-net over F₃	[i]
45	No digital (49, 193, 158)-net over F₃	[i]
46	No digital (49, 194, 158)-net over F₃	[i]
47	No digital (49, 195, 158)-net over F₃	[i]
48	No digital (49, 196, 158)-net over F₃	[i]
49	No digital (49, 197, 158)-net over F₃	[i]
50	No digital (49, 198, 158)-net over F₃	[i]
51	No digital (49, 199, 158)-net over F₃	[i]
52	No digital (49, 200, 158)-net over F₃	[i]
53	No digital (49, 201, 158)-net over F₃	[i]
54	No digital (49, 202, 158)-net over F₃	[i]
55	No digital (49, 203, 158)-net over F₃	[i]
56	No digital (49, 204, 158)-net over F₃	[i]
57	No digital (49, 205, 158)-net over F₃	[i]
58	No digital (49, 206, 158)-net over F₃	[i]
59	No digital (49, 207, 158)-net over F₃	[i]
60	No digital (49, 208, 158)-net over F₃	[i]
61	No digital (49, 209, 158)-net over F₃	[i]
62	No digital (49, 210, 158)-net over F₃	[i]
63	No digital (49, 211, 158)-net over F₃	[i]
64	No digital (49, 212, 158)-net over F₃	[i]
65	No digital (49, 213, 158)-net over F₃	[i]
66	No digital (49, 214, 158)-net over F₃	[i]
67	No digital (49, 215, 158)-net over F₃	[i]
68	No digital (49, 216, 158)-net over F₃	[i]
69	No digital (49, 217, 158)-net over F₃	[i]
70	No digital (49, 218, 158)-net over F₃	[i]
71	No digital (49, 219, 158)-net over F₃	[i]
72	No digital (49, 220, 158)-net over F₃	[i]
73	No digital (49, 221, 158)-net over F₃	[i]
74	No digital (49, 222, 158)-net over F₃	[i]
75	No digital (49, 223, 158)-net over F₃	[i]
76	No digital (49, 224, 158)-net over F₃	[i]
77	No digital (49, 225, 158)-net over F₃	[i]
78	No digital (49, 226, 158)-net over F₃	[i]
79	No digital (49, 227, 158)-net over F₃	[i]
80	No digital (49, 228, 158)-net over F₃	[i]
81	No digital (49, 229, 158)-net over F₃	[i]
82	No digital (49, 230, 158)-net over F₃	[i]
83	No digital (49, 231, 158)-net over F₃	[i]
84	No digital (49, 232, 158)-net over F₃	[i]
85	No digital (49, 233, 158)-net over F₃	[i]
86	No digital (49, 234, 158)-net over F₃	[i]
87	No digital (49, 235, 158)-net over F₃	[i]
88	No digital (49, 236, 158)-net over F₃	[i]
89	No digital (49, 237, 158)-net over F₃	[i]
90	No digital (49, 238, 158)-net over F₃	[i]