MinT - Information on Result #980591

Information on Result #980591

Linear OOA(8⁹⁹, 189, F₈, 3, 33) (dual of [(189, 3), 468, 34]-NRT-code), using OOA 2-folding based on linear OOA(8⁹⁹, 378, F₈, 2, 33) (dual of [(378, 2), 657, 34]-NRT-code), using

(u,Â u+v)-construction [i] based on
1. linear OOA(8¹⁹, 24, F₈, 2, 16) (dual of [(24, 2), 29, 17]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(2;F,31P) [i] based on function field F/F₈ with g(F) = 3 and N(F) ≥ 24, using
    - the Klein quartic over F₈ [i]
2. linear OOA(8⁸⁰, 354, F₈, 2, 33) (dual of [(354, 2), 628, 34]-NRT-code), using
  - extracting embedded OOA [i] based on digital (47, 80, 354)-net over F₈, using
    - trace code for nets [i] based on digital (7, 40, 177)-net over F₆₄, using
      - net from sequence [i] based on digital (7, 176)-sequence over F₆₄, using
        Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₆₄ with g(F) = 7 and N(F) ≥ 177, 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.