MinT - Information on Result #1012690

Information on Result #1012690

Linear OOA(4¹⁸⁶, 145, F₄, 3, 68) (dual of [(145, 3), 249, 69]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(4³⁸, 15, F₄, 3, 34) (dual of [(15, 3), 7, 35]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(3;F,10P) [i] based on function field F/F₄ with g(F) = 4 and N(F) ≥ 15, using
  - an explicitly constructive algebraic function field [i]
linear OOA(4¹⁴⁸, 130, F₄, 3, 68) (dual of [(130, 3), 242, 69]-NRT-code), using
- extracting embedded OOA [i] based on digital (80, 148, 130)-net over F₄, using
  - trace code for nets [i] based on digital (6, 74, 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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