MinT - Information on Result #1144376

Information on Result #1144376

Linear OOA(2¹⁷⁸, 72, F₂, 6, 58) (dual of [(72, 6), 254, 59]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(2⁶⁶, 30, F₂, 6, 29) (dual of [(30, 6), 114, 30]-NRT-code), using
- extracting embedded OOA [i] based on digital (37, 66, 30)-net over F₂, using
  - trace code for nets [i] based on digital (4, 33, 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(2¹¹², 42, F₂, 6, 58) (dual of [(42, 6), 140, 59]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(6;F,193P) [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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