MinT - Information on Result #1176442

Information on Result #1176442

Linear OOA(2¹⁷¹, 71, F₂, 8, 56) (dual of [(71, 8), 397, 57]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(2²⁹, 5, F₂, 8, 28) (dual of [(5, 8), 11, 29]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(8;F,11P) [i] based on function field F/F₂ with g(F) = 1 and N(F) ≥ 5, using
  - an explicitly constructive algebraic function field [i]
linear OOA(2¹⁴², 66, F₂, 8, 56) (dual of [(66, 8), 386, 57]-NRT-code), using
- extracting embedded OOA [i] based on digital (86, 142, 66)-net over F₂, using
  - trace code for nets [i] based on digital (15, 71, 33)-net over F₄, using
    - net from sequence [i] based on digital (15, 32)-sequence over F₄, using
      - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₄ with g(F) = 15 and N(F) ≥ 33, using
        an explicitly constructive algebraic function field [i]

Mode: Constructive and linear.

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