MinT - Information on Result #1011328

Information on Result #1011328

Linear OOA(3¹⁷⁸, 74, F₃, 3, 83) (dual of [(74, 3), 44, 84]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(3⁶⁸, 37, F₃, 3, 41) (dual of [(37, 3), 43, 42]-NRT-code), using
- extracting embedded OOA [i] based on digital (27, 68, 37)-net over F₃, using
  - net from sequence [i] based on digital (27, 36)-sequence over F₃, using
    - Niederreiterâ€“Xing sequence constructionÂ III based on the algebraic function field F/F₃ with g(F)Â =Â 26, N(F)Â =Â 36, and 1 place with degree 2 [i] based on function field F/F₃ with g(F) = 26 and N(F) ≥ 36, using an explicitly constructive algebraic function field [i]
linear OOA(3¹¹⁰, 37, F₃, 3, 83) (dual of [(37, 3), 1, 84]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3¹¹⁰, 39, F₃, 3, 83) (dual of [(39, 3), 7, 84]-NRT-code), using
  - repeating each code word 3 times [i] based on linear OOA(3³², 13, F₃, 3, 27) (dual of [(13, 3), 7, 28]-NRT-code), using
    - extracting embedded OOA [i] based on digital (5, 32, 13)-net over F₃, using
      - net from sequence [i] based on digital (5, 12)-sequence over F₃, using
        Niederreiterâ€“Xing sequence constructionÂ III based on the algebraic function field F/F₃ with g(F)Â =Â 4, N(F)Â =Â 12, and 1 place with degree 2 [i] based on function field F/F₃ with g(F) = 4 and N(F) ≥ 12, using an explicitly constructive algebraic function field [i]

Mode: Constructive and linear.

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