MinT - Information on Result #797608

Information on Result #797608

Digital (25, 50, 100)-net over F₇, using trace code for nets based on digital (0, 25, 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		This result only	Method
1	Digital (25, 49, 100)-net over F₇	[i]		m-Reduction
2	Digital (38, 63, 113)-net over F₇	[i]		(u,Â u+v)-Construction for Nets
3	Digital (42, 67, 118)-net over F₇	[i]
4	Digital (43, 68, 120)-net over F₇	[i]
5	Digital (44, 69, 121)-net over F₇	[i]
6	Digital (45, 70, 126)-net over F₇	[i]
7	Digital (48, 73, 150)-net over F₇	[i]
8	Digital (49, 74, 200)-net over F₇	[i]
9	Digital (64, 89, 221)-net over F₇	[i]		Generalized (u,Â u+v)-Construction for Nets
10	Digital (65, 90, 226)-net over F₇	[i]
11	Digital (58, 83, 213)-net over F₇	[i]
12	Digital (60, 85, 214)-net over F₇	[i]
13	Digital (61, 86, 216)-net over F₇	[i]
14	Digital (62, 87, 221)-net over F₇	[i]
15	Digital (63, 88, 228)-net over F₇	[i]
16	Digital (64, 89, 250)-net over F₇	[i]
17	Digital (65, 90, 300)-net over F₇	[i]
18	Linear OOA(7⁵⁰, 100, F₇, 2, 25) (dual of [(100, 2), 150, 26]-NRT-code)	[i]		Extracting Embedded OOA
19	Linear OOA(7⁵⁰, 100, F₇, 3, 25) (dual of [(100, 3), 250, 26]-NRT-code)	[i]		Extracting Embedded OOA