MinT - Information on Result #797390

Information on Result #797390

Digital (11, 22, 100)-net over F₇, using trace code for nets based on digital (0, 11, 50)-net over F₄₉, using

net from sequence [i] based on digital (0, 49)-sequence over F₄₉, using
- generalized Faure sequence [i]
- Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₄₉ with g(F) = 0 and N(F) ≥ 50, using
  - the rational function field F₄₉(x) [i]
- Niederreiter sequence [i]

Mode: Constructive and 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	Digital (11, 21, 100)-net over F₇	[i]	m-Reduction
2	Digital (16, 27, 108)-net over F₇	[i]	(u,Â u+v)-Construction for Nets
3	Digital (17, 28, 113)-net over F₇	[i]
4	Digital (18, 29, 121)-net over F₇	[i]
5	Digital (19, 30, 128)-net over F₇	[i]
6	Digital (20, 31, 150)-net over F₇	[i]
7	Digital (21, 32, 200)-net over F₇	[i]
8	Digital (44, 66, 200)-net over F₇	[i]
9	Digital (46, 68, 202)-net over F₇	[i]
10	Digital (45, 68, 200)-net over F₇	[i]
11	Digital (47, 70, 202)-net over F₇	[i]
12	Digital (61, 84, 224)-net over F₇	[i]	Generalized (u,Â u+v)-Construction for Nets
13	Digital (62, 85, 229)-net over F₇	[i]
14	Digital (63, 86, 234)-net over F₇	[i]
15	Digital (60, 82, 224)-net over F₇	[i]
16	Digital (61, 83, 229)-net over F₇	[i]
17	Digital (62, 84, 234)-net over F₇	[i]
18	Digital (58, 81, 221)-net over F₇	[i]
19	Digital (59, 82, 226)-net over F₇	[i]
20	Digital (61, 84, 229)-net over F₇	[i]
21	Digital (62, 85, 232)-net over F₇	[i]
22	Digital (62, 85, 234)-net over F₇	[i]
23	Digital (63, 86, 242)-net over F₇	[i]
24	Digital (63, 86, 258)-net over F₇	[i]
25	Digital (57, 79, 221)-net over F₇	[i]
26	Digital (58, 80, 226)-net over F₇	[i]
27	Digital (60, 82, 229)-net over F₇	[i]
28	Digital (61, 83, 232)-net over F₇	[i]
29	Digital (61, 83, 234)-net over F₇	[i]
30	Digital (62, 84, 242)-net over F₇	[i]
31	Digital (62, 84, 258)-net over F₇	[i]
32	Digital (52, 75, 208)-net over F₇	[i]
33	Digital (53, 76, 213)-net over F₇	[i]
34	Digital (56, 79, 221)-net over F₇	[i]
35	Digital (57, 80, 226)-net over F₇	[i]
36	Digital (58, 81, 250)-net over F₇	[i]
37	Digital (59, 82, 300)-net over F₇	[i]
38	Digital (61, 84, 302)-net over F₇	[i]
39	Digital (55, 77, 221)-net over F₇	[i]
40	Digital (56, 78, 226)-net over F₇	[i]
41	Digital (57, 79, 250)-net over F₇	[i]
42	Digital (58, 80, 300)-net over F₇	[i]
43	Digital (60, 82, 302)-net over F₇	[i]
44	Digital (24, 35, 208)-net over F₇	[i]
45	Digital (25, 36, 250)-net over F₇	[i]
46	Linear OOA(7²², 100, F₇, 2, 11) (dual of [(100, 2), 178, 12]-NRT-code)	[i]	Extracting Embedded OOA
47	Linear OOA(7²², 100, F₇, 3, 11) (dual of [(100, 3), 278, 12]-NRT-code)	[i]	Extracting Embedded OOA