MinT - Information on Result #1012326

Information on Result #1012326

Linear OOA(4¹¹¹, 140, F₄, 3, 39) (dual of [(140, 3), 309, 40]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(4²¹, 10, F₄, 3, 19) (dual of [(10, 3), 9, 20]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(3;F,10P) [i] based on function field F/F₄ with g(F) = 2 and N(F) ≥ 10, using
  - an explicitly constructive algebraic function field [i]
linear OOA(4⁹⁰, 130, F₄, 3, 39) (dual of [(130, 3), 300, 40]-NRT-code), using
- extracting embedded OOA [i] based on digital (51, 90, 130)-net over F₄, using
  - trace code for nets [i] based on digital (6, 45, 65)-net over F₁₆, using
    - net from sequence [i] based on digital (6, 64)-sequence over F₁₆, using
      - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₁₆ with g(F) = 6 and N(F) ≥ 65, using
        the Hermitian function field over F₁₆ [i]

Mode: Constructive and linear.

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