MinT - Information on Result #1160447

Information on Result #1160447

Linear OOA(2¹⁷¹, 78, F₂, 7, 53) (dual of [(78, 7), 375, 54]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(2³⁵, 12, F₂, 7, 26) (dual of [(12, 7), 49, 27]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(7;F,57P) [i] based on function field F/F₂ with g(F) = 9 and N(F) ≥ 12, using
  - an explicitly constructive algebraic function field [i]
linear OOA(2¹³⁶, 66, F₂, 7, 53) (dual of [(66, 7), 326, 54]-NRT-code), using
- extracting embedded OOA [i] based on digital (83, 136, 66)-net over F₂, using
  - trace code for nets [i] based on digital (15, 68, 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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