MinT - Information on Result #1223011

Information on Result #1223011

Digital (49, 77, 232)-net over F₂₇, using (u,Â u+v)-construction based on

digital (14, 28, 120)-net over F₂₇, using
- (u,Â u+v)-construction [i] based on
  1. digital (3, 10, 56)-net over F₂₇, using
    - (u,Â u+v)-construction [i] based on
      1. digital (0, 3, 28)-net over F₂₇, using
        net from sequence [i] based on digital (0, 27)-sequence over F₂₇, using
        generalized Faure sequence [i]
        Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₂₇ with g(F) = 0 and N(F) ≥ 28, using
        the rational function field F₂₇(x) [i]
        Niederreiter sequence [i]
      2. digital (0, 7, 28)-net over F₂₇, using
        net from sequence [i] based on digital (0, 27)-sequence over F₂₇ (see above)
  2. digital (4, 18, 64)-net over F₂₇, using
    - net from sequence [i] based on digital (4, 63)-sequence over F₂₇, using
      - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₂₇ with g(F) = 4 and N(F) ≥ 64, using
        a function field by SÃ©mirat [i]
digital (21, 49, 116)-net over F₂₇, using
- (u,Â u+v)-construction [i] based on
  1. digital (3, 17, 52)-net over F₂₇, using
    - net from sequence [i] based on digital (3, 51)-sequence over F₂₇, using
      - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₂₇ with g(F) = 3 and N(F) ≥ 52, using
        a function field by SÃ©mirat [i]
  2. digital (4, 32, 64)-net over F₂₇, using
    - net from sequence [i] based on digital (4, 63)-sequence over F₂₇ (see above)

Mode: Constructive and linear.

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.