MinT - Information on Result #1013356

Information on Result #1013356

Linear OOA(5⁶⁹, 270, F₅, 3, 18) (dual of [(270, 3), 741, 19]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(5¹³, 18, F₅, 3, 9) (dual of [(18, 3), 41, 10]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(3;F,44P) [i] based on function field F/F₅ with g(F) = 4 and N(F) ≥ 18, using
  - an explicitly constructive algebraic function field [i]
linear OOA(5⁵⁶, 252, F₅, 3, 18) (dual of [(252, 3), 700, 19]-NRT-code), using
- extracting embedded OOA [i] based on digital (38, 56, 252)-net over F₅, using
  - trace code for nets [i] based on digital (10, 28, 126)-net over F₂₅, using
    - net from sequence [i] based on digital (10, 125)-sequence over F₂₅, using
      - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₂₅ with g(F) = 10 and N(F) ≥ 126, using
        the Hermitian function field over F₂₅ [i]

Mode: Constructive and linear.

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