MinT - Information on Result #1160511

Information on Result #1160511

Linear OOA(2¹⁷⁶, 74, F₂, 7, 57) (dual of [(74, 7), 342, 58]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(2³², 8, F₂, 7, 28) (dual of [(8, 7), 24, 29]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(7;F,27P) [i] based on function field F/F₂ with g(F) = 4 and N(F) ≥ 8, using
  - an explicitly constructive algebraic function field [i]
linear OOA(2¹⁴⁴, 66, F₂, 7, 57) (dual of [(66, 7), 318, 58]-NRT-code), using
- extracting embedded OOA [i] based on digital (87, 144, 66)-net over F₂, using
  - trace code for nets [i] based on digital (15, 72, 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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