MinT - Information on Result #1215749

Information on Result #1215749

Digital (65, 88, 512)-net over F₈, using (u,Â u+v)-construction based on

digital (21, 32, 260)-net over F₈, using
- (u,Â u+v)-construction [i] based on
  1. digital (5, 10, 130)-net over F₈, using
    - trace code for nets [i] based on digital (0, 5, 65)-net over F₆₄, using
      - net from sequence [i] based on digital (0, 64)-sequence over F₆₄, using
        generalized Faure sequence [i]
        Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₆₄ with g(F) = 0 and N(F) ≥ 65, using
        the rational function field F₆₄(x) [i]
        Niederreiter sequence [i]
  2. digital (11, 22, 130)-net over F₈, using
    - trace code for nets [i] based on digital (0, 11, 65)-net over F₆₄, using
      - net from sequence [i] based on digital (0, 64)-sequence over F₆₄ (see above)
digital (33, 56, 256)-net over F₈, using
- trace code for nets [i] based on digital (5, 28, 128)-net over F₆₄, using
  - net from sequence [i] based on digital (5, 127)-sequence over F₆₄, using
    - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₆₄ with g(F) = 5 and N(F) ≥ 128, using
      - a function field by SÃ©mirat [i]

Mode: Constructive and linear.

None.

None.