MinT - Information on Result #1229559

Information on Result #1229559

Digital (61, 83, 229)-net over F₇, using generalized (u,Â u+v)-construction based on

digital (0, 4, 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 (0, 5, 8)-net over F₇, using
- net from sequence [i] based on digital (0, 7)-sequence over F₇ (see above)
digital (1, 8, 13)-net over F₇, using
- 5 times m-reduction [i] based on digital (1, 13, 13)-net over F₇, using
  - a shift-net [i]
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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