MinT - Information on Result #1024985

Information on Result #1024985

Linear OOA(2¹⁵³, 58, F₂, 3, 64) (dual of [(58, 3), 21, 65]-NRT-code), using juxtaposition based on

linear OOA(2⁵⁴, 25, F₂, 3, 24) (dual of [(25, 3), 21, 25]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2⁵⁴, 28, F₂, 3, 24) (dual of [(28, 3), 30, 25]-NRT-code), using
  - extracting embedded OOA [i] based on digital (30, 54, 28)-net over F₂, using
    - trace code for nets [i] based on digital (3, 27, 14)-net over F₄, using
      - net from sequence [i] based on digital (3, 13)-sequence over F₄, using
        Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₄ with g(F) = 3 and N(F) ≥ 14, using
        an explicitly constructive algebraic function field [i]
linear OOA(2⁷⁸, 33, F₂, 3, 39) (dual of [(33, 3), 21, 40]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(3;F,59P) [i] based on function field F/F₂ with g(F) = 39 and N(F) ≥ 33, using
  - an explicitly constructive algebraic function field [i]

Mode: Constructive and linear.

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