MinT - Information on Result #2880375

Information on Result #2880375

Linear OOA(3²⁴³, 172, F₃, 5, 78) (dual of [(172, 5), 617, 79]-NRT-code), using 3¹ times duplication based on linear OOA(3²⁴², 172, F₃, 5, 78) (dual of [(172, 5), 618, 79]-NRT-code), using

(u,Â u+v)-construction [i] based on
1. linear OOA(3⁵², 24, F₃, 5, 39) (dual of [(24, 5), 68, 40]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(5;F,80P) [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(3¹⁹⁰, 148, F₃, 5, 78) (dual of [(148, 5), 550, 79]-NRT-code), using
  - extracting embedded OOA [i] based on digital (112, 190, 148)-net over F₃, using
    - trace code for nets [i] based on digital (17, 95, 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.