MinT - Information on Result #2879355

Information on Result #2879355

Linear OOA(3²⁰⁴, 164, F₃, 5, 65) (dual of [(164, 5), 616, 66]-NRT-code), using 3¹ times duplication based on linear OOA(3²⁰³, 164, F₃, 5, 65) (dual of [(164, 5), 617, 66]-NRT-code), using

(u,Â u+v)-construction [i] based on
1. linear OOA(3³⁹, 16, F₃, 5, 32) (dual of [(16, 5), 41, 33]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(5;F,47P) [i] based on function field F/F₃ with g(F) = 7 and N(F) ≥ 16, using
    - an explicitly constructive algebraic function field [i]
2. linear OOA(3¹⁶⁴, 148, F₃, 5, 65) (dual of [(148, 5), 576, 66]-NRT-code), using
  - extracting embedded OOA [i] based on digital (99, 164, 148)-net over F₃, using
    - trace code for nets [i] based on digital (17, 82, 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.