MinT - Information on Result #1080367

Information on Result #1080367

Linear OOA(2¹⁶², 75, F₂, 4, 51) (dual of [(75, 4), 138, 52]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(2³⁰, 9, F₂, 4, 25) (dual of [(9, 4), 6, 26]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(4;F,10P) [i] based on function field F/F₂ with g(F) = 5 and N(F) ≥ 9, using
  - an explicitly constructive algebraic function field [i]
linear OOA(2¹³², 66, F₂, 4, 51) (dual of [(66, 4), 132, 52]-NRT-code), using
- extracting embedded OOA [i] based on digital (81, 132, 66)-net over F₂, using
  - trace code for nets [i] based on digital (15, 66, 33)-net over F₄, using
    - net from sequence [i] based on digital (15, 32)-sequence over F₄, using
      - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₄ with g(F) = 15 and N(F) ≥ 33, using
        an explicitly constructive algebraic function field [i]

Mode: Constructive and linear.

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