MinT - Information on Result #1116473

Information on Result #1116473

Linear OOA(2¹⁶⁹, 72, F₂, 5, 55) (dual of [(72, 5), 191, 56]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(2²⁹, 6, F₂, 5, 27) (dual of [(6, 5), 1, 28]-NRT-code), using
- strength reduction [i] based on linear OOA(2²⁹, 6, F₂, 5, 29) (dual of [(6, 5), 1, 30]-NRT-code), using
  - dual of repetition NRT-code with length 6 [i]
linear OOA(2¹⁴⁰, 66, F₂, 5, 55) (dual of [(66, 5), 190, 56]-NRT-code), using
- extracting embedded OOA [i] based on digital (85, 140, 66)-net over F₂, using
  - trace code for nets [i] based on digital (15, 70, 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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