MinT - Information on Result #1176412

Information on Result #1176412

Linear OOA(2¹⁶⁸, 73, F₂, 8, 54) (dual of [(73, 8), 416, 55]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(2³⁰, 7, F₂, 8, 27) (dual of [(7, 8), 26, 28]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(8;F,28P) [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(2¹³⁸, 66, F₂, 8, 54) (dual of [(66, 8), 390, 55]-NRT-code), using
- extracting embedded OOA [i] based on digital (84, 138, 66)-net over F₂, using
  - trace code for nets [i] based on digital (15, 69, 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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