MinT - Information on Result #2804405

Information on Result #2804405

Linear OOA(3²³³, 168, F₃, 4, 75) (dual of [(168, 4), 439, 76]-NRT-code), using 3¹ times duplication based on linear OOA(3²³², 168, F₃, 4, 75) (dual of [(168, 4), 440, 76]-NRT-code), using

(u,Â u+v)-construction [i] based on
1. linear OOA(3⁴⁸, 20, F₃, 4, 37) (dual of [(20, 4), 32, 38]-NRT-code), using
  - extracting embedded OOA [i] based on digital (11, 48, 20)-net over F₃, using
    - net from sequence [i] based on digital (11, 19)-sequence over F₃, using
      - Niederreiterâ€“Xing sequence constructionÂ III based on the algebraic function field F/F₃ with g(F)Â =Â 9, N(F)Â =Â 19, and 1 place with degree 3 [i] based on function field F/F₃ with g(F) = 9 and N(F) ≥ 19, using an explicitly constructive algebraic function field [i]
2. linear OOA(3¹⁸⁴, 148, F₃, 4, 75) (dual of [(148, 4), 408, 76]-NRT-code), using
  - extracting embedded OOA [i] based on digital (109, 184, 148)-net over F₃, using
    - trace code for nets [i] based on digital (17, 92, 74)-net over F₉, using
      - net from sequence [i] based on digital (17, 73)-sequence over F₉, using
        Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₉ with g(F) = 17 and N(F) ≥ 74, using
        a function field by GarcÃa and Quoos [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.