MinT - Information on Result #797400

Information on Result #797400

Digital (12, 24, 100)-net over F₇, using trace code for nets based on digital (0, 12, 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 (12, 23, 100)-net over F₇	[i]	m-Reduction
2	Digital (18, 30, 108)-net over F₇	[i]	(u,Â u+v)-Construction for Nets
3	Digital (19, 31, 113)-net over F₇	[i]
4	Digital (21, 33, 116)-net over F₇	[i]
5	Digital (22, 34, 121)-net over F₇	[i]
6	Digital (23, 35, 150)-net over F₇	[i]
7	Digital (24, 36, 200)-net over F₇	[i]
8	Digital (48, 72, 200)-net over F₇	[i]
9	Digital (50, 74, 202)-net over F₇	[i]
10	Digital (61, 85, 213)-net over F₇	[i]
11	Digital (49, 74, 200)-net over F₇	[i]
12	Digital (51, 76, 202)-net over F₇	[i]
13	Digital (62, 87, 213)-net over F₇	[i]
14	Digital (64, 89, 221)-net over F₇	[i]	Generalized (u,Â u+v)-Construction for Nets
15	Digital (65, 90, 226)-net over F₇	[i]
16	Digital (63, 87, 221)-net over F₇	[i]
17	Digital (64, 88, 226)-net over F₇	[i]
18	Digital (58, 83, 213)-net over F₇	[i]
19	Digital (60, 85, 214)-net over F₇	[i]
20	Digital (61, 86, 216)-net over F₇	[i]
21	Digital (62, 87, 221)-net over F₇	[i]
22	Digital (63, 88, 228)-net over F₇	[i]
23	Digital (64, 89, 250)-net over F₇	[i]
24	Digital (65, 90, 300)-net over F₇	[i]
25	Digital (60, 85, 215)-net over F₇	[i]
26	Digital (57, 81, 213)-net over F₇	[i]
27	Digital (59, 83, 214)-net over F₇	[i]
28	Digital (60, 84, 216)-net over F₇	[i]
29	Digital (61, 85, 221)-net over F₇	[i]
30	Digital (62, 86, 228)-net over F₇	[i]
31	Digital (63, 87, 250)-net over F₇	[i]
32	Digital (64, 88, 300)-net over F₇	[i]
33	Digital (59, 83, 215)-net over F₇	[i]
34	Digital (28, 40, 208)-net over F₇	[i]
35	Linear OOA(7²⁴, 100, F₇, 2, 12) (dual of [(100, 2), 176, 13]-NRT-code)	[i]	Extracting Embedded OOA
36	Linear OOA(7²⁴, 100, F₇, 3, 12) (dual of [(100, 3), 276, 13]-NRT-code)	[i]	Extracting Embedded OOA