MinT - Information on Result #1080411

Information on Result #1080411

Linear OOA(2¹⁷⁰, 75, F₂, 4, 54) (dual of [(75, 4), 130, 55]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(2³², 9, F₂, 4, 27) (dual of [(9, 4), 4, 28]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(4;F,8P) [i] based on function field F/F₂ with g(F) = 5 and N(F) ≥ 9, using
  - an explicitly constructive algebraic function field [i]
linear OOA(2¹³⁸, 66, F₂, 4, 54) (dual of [(66, 4), 126, 55]-NRT-code), using
- extracting embedded OOA [i] based on digital (84, 138, 66)-net over F₂, using
  - trace code for nets [i] based on digital (15, 69, 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.

None.

None.