MinT - Information on Result #1160437

Information on Result #1160437

Linear OOA(2¹⁶⁷, 72, F₂, 7, 53) (dual of [(72, 7), 337, 54]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(2⁶⁰, 30, F₂, 7, 26) (dual of [(30, 7), 150, 27]-NRT-code), using
- extracting embedded OOA [i] based on digital (34, 60, 30)-net over F₂, using
  - trace code for nets [i] based on digital (4, 30, 15)-net over F₄, using
    - net from sequence [i] based on digital (4, 14)-sequence over F₄, using
      - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₄ with g(F) = 4 and N(F) ≥ 15, using
        an explicitly constructive algebraic function field [i]
linear OOA(2¹⁰⁷, 42, F₂, 7, 53) (dual of [(42, 7), 187, 54]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(7;F,240P) [i] based on function field F/F₂ with g(F) = 54 and N(F) ≥ 42, using
  - an explicitly constructive algebraic function field [i]
- algebraic-geometric NRT-code AG(7;F,40P) with degPÂ =Â 6 [i] based on function field F/F₂ with g(F) = 54 and N(F) ≥ 42, using an explicitly constructive algebraic function field [i]

Mode: Constructive and linear.

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