MinT - Information on Result #3279047

Information on Result #3279047

(72, 99, 644)-net in base 8, using 8¹ times duplication based on (71, 98, 644)-net in base 8, using

(u,Â u+v)-construction [i] based on
1. digital (13, 26, 130)-net over F₈, using
  - trace code for nets [i] based on digital (0, 13, 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. (45, 72, 514)-net in base 8, using
  - base change [i] based on digital (27, 54, 514)-net over F₁₆, using
    - trace code for nets [i] based on digital (0, 27, 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]

Mode: Constructive.

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.