MinT - Information on Result #1009725

Information on Result #1009725

Linear OOA(2¹⁵⁶, 75, F₂, 3, 50) (dual of [(75, 3), 69, 51]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(2²⁶, 9, F₂, 3, 25) (dual of [(9, 3), 1, 26]-NRT-code), using
- strength reduction [i] based on linear OOA(2²⁶, 9, F₂, 3, 26) (dual of [(9, 3), 1, 27]-NRT-code), using
  - dual of repetition NRT-code with length 9 [i]
linear OOA(2¹³⁰, 66, F₂, 3, 50) (dual of [(66, 3), 68, 51]-NRT-code), using
- extracting embedded OOA [i] based on digital (80, 130, 66)-net over F₂, using
  - trace code for nets [i] based on digital (15, 65, 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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