MinT - Information on Result #3263941

Information on Result #3263941

Digital (40, 55, 1542)-net over F₁₆, using 16¹ times duplication based on digital (39, 54, 1542)-net over F₁₆, using

generalized (u,Â u+v)-construction [i] based on
1. digital (5, 10, 514)-net over F₁₆, using
  - trace code for nets [i] based on digital (0, 5, 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]
2. digital (7, 14, 514)-net over F₁₆, using
  - trace code for nets [i] based on digital (0, 7, 257)-net over F₂₅₆, using
    - net from sequence [i] based on digital (0, 256)-sequence over F₂₅₆ (see above)
3. digital (15, 30, 514)-net over F₁₆, using
  - trace code for nets [i] based on digital (0, 15, 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.