MinT - Information on Result #1229625

Information on Result #1229625

Digital (67, 94, 221)-net over F₇, using generalized (u,Â u+v)-construction based on

digital (5, 14, 21)-net over F₇, using
- (u,Â u+v)-construction [i] based on
  1. 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]
  2. digital (1, 10, 13)-net over F₇, using
    - 3 times m-reduction [i] based on digital (1, 13, 13)-net over F₇, using
      - a shift-net [i]
digital (13, 26, 100)-net over F₇, using
- trace code for nets [i] based on digital (0, 13, 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 (27, 54, 100)-net over F₇, using
- trace code for nets [i] based on digital (0, 27, 50)-net over F₄₉, using
  - net from sequence [i] based on digital (0, 49)-sequence over F₄₉ (see above)

Mode: Constructive and linear.

None.

None.