MinT - Information on Result #1829353

Information on Result #1829353

OOA(8⁴⁴, 538, S₈, 2, 13), using extracting embedded OOA based on (31, 44, 538)-net in base 8, using

base change [i] based on digital (20, 33, 538)-net over F₁₆, using
- (u,Â u+v)-construction [i] based on
  1. digital (1, 7, 24)-net over F₁₆, using
    - net from sequence [i] based on digital (1, 23)-sequence over F₁₆, using
      - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₁₆ with g(F) = 1 and N(F) ≥ 24, using
        a function field by SÃ©mirat [i]
  2. digital (13, 26, 514)-net over F₁₆, using
    - trace code for nets [i] based on digital (0, 13, 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, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.

Other Results with Identical Parameters

None.

Depending Results

None.