MinT - Information on Result #1176395

Information on Result #1176395

Linear OOA(2¹⁶⁶, 74, F₂, 8, 53) (dual of [(74, 8), 426, 54]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(2³⁰, 8, F₂, 8, 26) (dual of [(8, 8), 34, 27]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(8;F,37P) [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(2¹³⁶, 66, F₂, 8, 53) (dual of [(66, 8), 392, 54]-NRT-code), using
- extracting embedded OOA [i] based on digital (83, 136, 66)-net over F₂, using
  - trace code for nets [i] based on digital (15, 68, 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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