MinT - Information on Result #1144122

Information on Result #1144122

Linear OOA(2¹⁴⁶, 74, F₂, 6, 45) (dual of [(74, 6), 298, 46]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(2²⁶, 8, F₂, 6, 22) (dual of [(8, 6), 22, 23]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(6;F,25P) [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(2¹²⁰, 66, F₂, 6, 45) (dual of [(66, 6), 276, 46]-NRT-code), using
- extracting embedded OOA [i] based on digital (75, 120, 66)-net over F₂, using
  - trace code for nets [i] based on digital (15, 60, 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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