MinT - Information on Result #1013241

Information on Result #1013241

Linear OOA(5⁴⁴, 142, F₅, 3, 14) (dual of [(142, 3), 382, 15]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(5⁸, 10, F₅, 3, 7) (dual of [(10, 3), 22, 8]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(3;F,22P) [i] based on function field F/F₅ with g(F) = 1 and N(F) ≥ 10, using
  - an explicitly constructive algebraic function field [i]
linear OOA(5³⁶, 132, F₅, 3, 14) (dual of [(132, 3), 360, 15]-NRT-code), using
- extracting embedded OOA [i] based on digital (22, 36, 132)-net over F₅, using
  - trace code for nets [i] based on digital (4, 18, 66)-net over F₂₅, using
    - net from sequence [i] based on digital (4, 65)-sequence over F₂₅, using
      - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₂₅ with g(F) = 4 and N(F) ≥ 66, using
        a function field by GarcÃa and Quoos [i]

Mode: Constructive and linear.

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