MinT - Information on Result #1160573

Information on Result #1160573

Linear OOA(2²⁶⁰, 200, F₂, 7, 62) (dual of [(200, 7), 1140, 63]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(2³², 5, F₂, 7, 31) (dual of [(5, 7), 3, 32]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(7;F,3P) [i] based on function field F/F₂ with g(F) = 1 and N(F) ≥ 5, using
  - an explicitly constructive algebraic function field [i]
linear OOA(2²²⁸, 195, F₂, 7, 62) (dual of [(195, 7), 1137, 63]-NRT-code), using
- extracting embedded OOA [i] based on digital (166, 228, 195)-net over F₂, using
  - trace code for nets [i] based on digital (14, 76, 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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