MinT - Information on Result #1176450

Information on Result #1176450

Linear OOA(2²⁴², 203, F₂, 8, 56) (dual of [(203, 8), 1382, 57]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(2³², 8, F₂, 8, 28) (dual of [(8, 8), 32, 29]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(8;F,35P) [i] based on function field F/F₂ with g(F) = 4 and N(F) ≥ 8, using
  - an explicitly constructive algebraic function field [i]
linear OOA(2²¹⁰, 195, F₂, 8, 56) (dual of [(195, 8), 1350, 57]-NRT-code), using
- extracting embedded OOA [i] based on digital (154, 210, 195)-net over F₂, using
  - trace code for nets [i] based on digital (14, 70, 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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