MinT - Information on Result #1153540

Information on Result #1153540

Linear OOA(2¹⁸⁰, 38, F₂, 7, 58) (dual of [(38, 7), 86, 59]-NRT-code), using OOA 2-folding based on linear OOA(2¹⁸⁰, 76, F₂, 4, 58) (dual of [(76, 4), 124, 59]-NRT-code), using

(u,Â u+v)-construction [i] based on
1. linear OOA(2⁶⁸, 34, F₂, 4, 29) (dual of [(34, 4), 68, 30]-NRT-code), using
  - extracting embedded OOA [i] based on digital (39, 68, 34)-net over F₂, using
    - trace code for nets [i] based on digital (5, 34, 17)-net over F₄, using
      - net from sequence [i] based on digital (5, 16)-sequence over F₄, using
        Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₄ with g(F) = 5 and N(F) ≥ 17, using
        an explicitly constructive algebraic function field [i]
2. linear OOA(2¹¹², 42, F₂, 4, 58) (dual of [(42, 4), 56, 59]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;F,109P) [i] based on function field F/F₂ with g(F) = 54 and N(F) ≥ 42, using
    - an explicitly constructive algebraic function field [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.