MinT - Information on Result #1118305

Information on Result #1118305

Linear OOA(3²⁵⁰, 167, F₃, 5, 83) (dual of [(167, 5), 585, 84]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(3⁵⁰, 19, F₃, 5, 41) (dual of [(19, 5), 45, 42]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(5;F,53P) [i] based on function field F/F₃ with g(F) = 9 and N(F) ≥ 19, using
  - an explicitly constructive algebraic function field [i]
linear OOA(3²⁰⁰, 148, F₃, 5, 83) (dual of [(148, 5), 540, 84]-NRT-code), using
- extracting embedded OOA [i] based on digital (117, 200, 148)-net over F₃, using
  - trace code for nets [i] based on digital (17, 100, 74)-net over F₉, using
    - net from sequence [i] based on digital (17, 73)-sequence over F₉, using
      - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₉ with g(F) = 17 and N(F) ≥ 74, using
        a function field by GarcÃa and Quoos [i]

Mode: Constructive and linear.

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