MinT - Information on Result #1117992

Information on Result #1117992

Linear OOA(3²⁰⁶, 698, F₃, 5, 39) (dual of [(698, 5), 3284, 40]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(3²², 10, F₃, 5, 19) (dual of [(10, 5), 28, 20]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(5;F,30P) [i] based on function field F/F₃ with g(F) = 3 and N(F) ≥ 10, using
  - an explicitly constructive algebraic function field [i]
linear OOA(3¹⁸⁴, 688, F₃, 5, 39) (dual of [(688, 5), 3256, 40]-NRT-code), using
- extracting embedded OOA [i] based on digital (145, 184, 688)-net over F₃, using
  - trace code for nets [i] based on digital (7, 46, 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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