MinT - Information on Result #1080395

Information on Result #1080395

Linear OOA(2¹⁶⁹, 76, F₂, 4, 53) (dual of [(76, 4), 135, 54]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(2⁶², 34, F₂, 4, 26) (dual of [(34, 4), 74, 27]-NRT-code), using
- extracting embedded OOA [i] based on digital (36, 62, 34)-net over F₂, using
  - trace code for nets [i] based on digital (5, 31, 17)-net over F₄, using
    - net from sequence [i] based on digital (5, 16)-sequence over F₄, using
      - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₄ with g(F) = 5 and N(F) ≥ 17, using
        an explicitly constructive algebraic function field [i]
linear OOA(2¹⁰⁷, 42, F₂, 4, 53) (dual of [(42, 4), 61, 54]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(4;F,114P) [i] based on function field F/F₂ with g(F) = 54 and N(F) ≥ 42, using
  - an explicitly constructive algebraic function field [i]
- algebraic-geometric NRT-code AG(4;F,19P) with degPÂ =Â 6 [i] based on function field F/F₂ with g(F) = 54 and N(F) ≥ 42, using an explicitly constructive algebraic function field [i]

Mode: Constructive and linear.

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