MinT - Information on Result #1219506

Information on Result #1219506

Digital (64, 88, 1073)-net over F₁₆, using (u,Â u+v)-construction based on

digital (12, 24, 514)-net over F₁₆, using
- trace code for nets [i] based on digital (0, 12, 257)-net over F₂₅₆, using
  - net from sequence [i] based on digital (0, 256)-sequence over F₂₅₆, using
    - generalized Faure sequence [i]
    - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₂₅₆ with g(F) = 0 and N(F) ≥ 257, using
      - the rational function field F₂₅₆(x) [i]
    - Niederreiter sequence [i]
digital (40, 64, 559)-net over F₁₆, using
- (u,Â u+v)-construction [i] based on
  1. digital (4, 16, 45)-net over F₁₆, using
    - net from sequence [i] based on digital (4, 44)-sequence over F₁₆, using
      - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₁₆ with g(F) = 4 and N(F) ≥ 45, using
        a function field by GarcÃa and Quoos [i]
  2. digital (24, 48, 514)-net over F₁₆, using
    - trace code for nets [i] based on digital (0, 24, 257)-net over F₂₅₆, using
      - net from sequence [i] based on digital (0, 256)-sequence over F₂₅₆ (see above)

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

None.