MinT - Information on Result #1176502

Information on Result #1176502

Linear OOA(2¹⁸⁴, 76, F₂, 8, 60) (dual of [(76, 8), 424, 61]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(2⁷⁰, 34, F₂, 8, 30) (dual of [(34, 8), 202, 31]-NRT-code), using
- extracting embedded OOA [i] based on digital (40, 70, 34)-net over F₂, using
  - trace code for nets [i] based on digital (5, 35, 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]
linear OOA(2¹¹⁴, 42, F₂, 8, 60) (dual of [(42, 8), 222, 61]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(8;F,275P) [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.

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