MinT - Information on Result #1176023

Information on Result #1176023

Linear OOA(2¹⁵⁸, 268, F₂, 8, 29) (dual of [(268, 8), 1986, 30]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(2¹⁸, 8, F₂, 8, 14) (dual of [(8, 8), 46, 15]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(8;F,49P) [i] based on function field F/F₂ with g(F) = 4 and N(F) ≥ 8, using
  - an explicitly constructive algebraic function field [i]
linear OOA(2¹⁴⁰, 260, F₂, 8, 29) (dual of [(260, 8), 1940, 30]-NRT-code), using
- extracting embedded OOA [i] based on digital (111, 140, 260)-net over F₂, using
  - trace code for nets [i] based on digital (6, 35, 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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