MinT - Information on Result #1116435

Information on Result #1116435

Linear OOA(2¹⁶⁵, 75, F₂, 5, 52) (dual of [(75, 5), 210, 53]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(2³¹, 9, F₂, 5, 26) (dual of [(9, 5), 14, 27]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(5;F,18P) [i] based on function field F/F₂ with g(F) = 5 and N(F) ≥ 9, using
  - an explicitly constructive algebraic function field [i]
linear OOA(2¹³⁴, 66, F₂, 5, 52) (dual of [(66, 5), 196, 53]-NRT-code), using
- extracting embedded OOA [i] based on digital (82, 134, 66)-net over F₂, using
  - trace code for nets [i] based on digital (15, 67, 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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