MinT - Information on Result #1160566

Information on Result #1160566

Linear OOA(2²⁵⁷, 201, F₂, 7, 61) (dual of [(201, 7), 1150, 62]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(2³², 6, F₂, 7, 30) (dual of [(6, 7), 10, 31]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(7;F,11P) [i] based on function field F/F₂ with g(F) = 2 and N(F) ≥ 6, using
  - an explicitly constructive algebraic function field [i]
linear OOA(2²²⁵, 195, F₂, 7, 61) (dual of [(195, 7), 1140, 62]-NRT-code), using
- extracting embedded OOA [i] based on digital (164, 225, 195)-net over F₂, using
  - trace code for nets [i] based on digital (14, 75, 65)-net over F₈, using
    - net from sequence [i] based on digital (14, 64)-sequence over F₈, using
      - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₈ with g(F) = 14 and N(F) ≥ 65, using
        the Suzuki function field over F₈ [i]

Mode: Constructive and linear.

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