MinT - Information on Result #797516

Information on Result #797516

Digital (20, 40, 100)-net over F₇, using trace code for nets based on digital (0, 20, 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 (20, 39, 100)-net over F₇	[i]		m-Reduction
2	Digital (31, 51, 113)-net over F₇	[i]		(u,Â u+v)-Construction for Nets
3	Digital (33, 53, 114)-net over F₇	[i]
4	Digital (34, 54, 116)-net over F₇	[i]
5	Digital (35, 55, 118)-net over F₇	[i]
6	Digital (36, 56, 121)-net over F₇	[i]
7	Digital (37, 57, 126)-net over F₇	[i]
8	Digital (39, 59, 150)-net over F₇	[i]
9	Digital (40, 60, 200)-net over F₇	[i]
10	Digital (56, 76, 258)-net over F₇	[i]		Generalized (u,Â u+v)-Construction for Nets
11	Digital (57, 77, 263)-net over F₇	[i]
12	Digital (57, 77, 308)-net over F₇	[i]
13	Digital (46, 66, 208)-net over F₇	[i]
14	Digital (47, 67, 213)-net over F₇	[i]
15	Digital (51, 71, 250)-net over F₇	[i]
16	Digital (52, 72, 300)-net over F₇	[i]
17	Linear OOA(7⁴⁰, 100, F₇, 2, 20) (dual of [(100, 2), 160, 21]-NRT-code)	[i]		Extracting Embedded OOA
18	Linear OOA(7⁴⁰, 100, F₇, 3, 20) (dual of [(100, 3), 260, 21]-NRT-code)	[i]		Extracting Embedded OOA