MinT - Information on Result #980430

Information on Result #980430

Linear OOA(8⁹², 184, F₈, 3, 31) (dual of [(184, 3), 460, 32]-NRT-code), using OOA 2-folding based on linear OOA(8⁹², 368, F₈, 2, 31) (dual of [(368, 2), 644, 32]-NRT-code), using

(u,Â u+v)-construction [i] based on
1. linear OOA(8¹⁶, 14, F₈, 2, 15) (dual of [(14, 2), 12, 16]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(2;F,12P) [i] based on function field F/F₈ with g(F) = 1 and N(F) ≥ 14, using
    - F₂ from the tower of function fields over F₈ by van der Geer and van der Vlugt [i]
2. linear OOA(8⁷⁶, 354, F₈, 2, 31) (dual of [(354, 2), 632, 32]-NRT-code), using
  - extracting embedded OOA [i] based on digital (45, 76, 354)-net over F₈, using
    - trace code for nets [i] based on digital (7, 38, 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.