MinT - Information on Result #1214537

Information on Result #1214537

Digital (18, 30, 108)-net over F₇, using (u,Â u+v)-construction based on

digital (0, 6, 8)-net over F₇, using
- net from sequence [i] based on digital (0, 7)-sequence over F₇, using
  - Faure sequence [i]
  - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₇ with g(F) = 0 and N(F) ≥ 8, using
    - the rational function field F₇(x) [i]
  - Niederreiter sequence [i]
digital (12, 24, 100)-net over F₇, using
- trace code for nets [i] 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		This result only	Method
1	Digital (60, 84, 212)-net over F₇	[i]		(u,Â u+v)-Construction for Nets
2	Digital (62, 86, 216)-net over F₇	[i]
3	Digital (64, 88, 218)-net over F₇	[i]
4	Digital (61, 86, 212)-net over F₇	[i]
5	Digital (63, 88, 216)-net over F₇	[i]
6	Digital (65, 90, 218)-net over F₇	[i]