MinT - Information on Result #1080244

Information on Result #1080244

Linear OOA(2¹⁴⁰, 73, F₂, 4, 43) (dual of [(73, 4), 152, 44]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(2²⁴, 7, F₂, 4, 21) (dual of [(7, 4), 4, 22]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(4;F,6P) [i] based on function field F/F₂ with g(F) = 3 and N(F) ≥ 7, using
  - an explicitly constructive algebraic function field [i]
linear OOA(2¹¹⁶, 66, F₂, 4, 43) (dual of [(66, 4), 148, 44]-NRT-code), using
- extracting embedded OOA [i] based on digital (73, 116, 66)-net over F₂, using
  - trace code for nets [i] based on digital (15, 58, 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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