MinT - Information on Result #1081471

Information on Result #1081471

Linear OOA(3¹⁹¹, 695, F₃, 4, 36) (dual of [(695, 4), 2589, 37]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(3¹⁹, 7, F₃, 4, 18) (dual of [(7, 4), 9, 19]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(4;F,9P) [i] based on function field F/F₃ with g(F) = 1 and N(F) ≥ 7, using
  - an explicitly constructive algebraic function field [i]
linear OOA(3¹⁷², 688, F₃, 4, 36) (dual of [(688, 4), 2580, 37]-NRT-code), using
- extracting embedded OOA [i] based on digital (136, 172, 688)-net over F₃, using
  - trace code for nets [i] based on digital (7, 43, 172)-net over F₈₁, using
    - net from sequence [i] based on digital (7, 171)-sequence over F₈₁, using
      - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₈₁ with g(F) = 7 and N(F) ≥ 172, using
        a function field by SÃ©mirat [i]

Mode: Constructive and linear.

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