MinT - Information on Result #1176486

Information on Result #1176486

Linear OOA(2¹⁷⁹, 72, F₂, 8, 59) (dual of [(72, 8), 397, 60]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(2⁶⁶, 30, F₂, 8, 29) (dual of [(30, 8), 174, 30]-NRT-code), using
- extracting embedded OOA [i] based on digital (37, 66, 30)-net over F₂, using
  - trace code for nets [i] based on digital (4, 33, 15)-net over F₄, using
    - net from sequence [i] based on digital (4, 14)-sequence over F₄, using
      - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₄ with g(F) = 4 and N(F) ≥ 15, using
        an explicitly constructive algebraic function field [i]
linear OOA(2¹¹³, 42, F₂, 8, 59) (dual of [(42, 8), 223, 60]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(8;F,276P) [i] based on function field F/F₂ with g(F) = 54 and N(F) ≥ 42, using
  - an explicitly constructive algebraic function field [i]
- algebraic-geometric NRT-code AG(8;F,46P) with degPÂ =Â 6 [i] based on function field F/F₂ with g(F) = 54 and N(F) ≥ 42, using an explicitly constructive algebraic function field [i]

Mode: Constructive and linear.

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