MinT - Information on Result #1214328

Information on Result #1214328

Digital (7, 12, 108)-net over F₇, using (u,Â u+v)-construction based on

digital (0, 2, 8)-net over F₇, using
- kÂ =Â 2 construction [i]
digital (5, 10, 100)-net over F₇, using
- trace code for nets [i] based on digital (0, 5, 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 (76, 86, 2306030)-net over F₇	[i]		(u,Â u+v)-Construction for Nets
2	Digital (94, 104, 3355548)-net over F₇	[i]
3	Digital (25, 36, 204)-net over F₇	[i]
4	Digital (83, 94, 2306028)-net over F₇	[i]