MinT - Information on Result #1004666

Information on Result #1004666

Linear OOA(7¹⁴, 18, F₇, 3, 9) (dual of [(18, 3), 40, 10]-NRT-code), using extracting embedded OOA based on digital (5, 14, 18)-net over F₇, using

s-reduction 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]

Mode: Constructive and linear.

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.