MinT - Information on Result #1229582

Information on Result #1229582

Digital (60, 82, 229)-net over F₇, using generalized (u,Â u+v)-construction based on

digital (1, 6, 13)-net over F₇, using
- 7 times m-reduction [i] based on digital (1, 13, 13)-net over F₇, using
  - a shift-net [i]
digital (3, 10, 16)-net over F₇, using
- (u,Â u+v)-construction [i] based on
  1. digital (0, 3, 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]
  2. digital (0, 7, 8)-net over F₇, using
    - net from sequence [i] based on digital (0, 7)-sequence over F₇ (see above)
digital (11, 22, 100)-net over F₇, using
- trace code for nets [i] based on digital (0, 11, 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]
digital (22, 44, 100)-net over F₇, using
- trace code for nets [i] based on digital (0, 22, 50)-net over F₄₉, using
  - net from sequence [i] based on digital (0, 49)-sequence over F₄₉ (see above)

Mode: Constructive and linear.

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None.