MinT - Information on Result #2804326

Information on Result #2804326

Linear OOA(3²³³, 172, F₃, 4, 74) (dual of [(172, 4), 455, 75]-NRT-code), using 3¹ times duplication based on linear OOA(3²³², 172, F₃, 4, 74) (dual of [(172, 4), 456, 75]-NRT-code), using

(u,Â u+v)-construction [i] based on
1. linear OOA(3⁵⁰, 24, F₃, 4, 37) (dual of [(24, 4), 46, 38]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;F,58P) [i] based on function field F/F₃ with g(F) = 13 and N(F) ≥ 24, using
    - a function field by SÃ©mirat [i]
2. linear OOA(3¹⁸², 148, F₃, 4, 74) (dual of [(148, 4), 410, 75]-NRT-code), using
  - extracting embedded OOA [i] based on digital (108, 182, 148)-net over F₃, using
    - trace code for nets [i] based on digital (17, 91, 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.