MinT - Information on Result #1160340

Information on Result #1160340

Linear OOA(2²⁴⁵, 269, F₂, 7, 48) (dual of [(269, 7), 1638, 49]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(2²⁹, 9, F₂, 7, 24) (dual of [(9, 7), 34, 25]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(7;F,38P) [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(2²¹⁶, 260, F₂, 7, 48) (dual of [(260, 7), 1604, 49]-NRT-code), using
- extracting embedded OOA [i] based on digital (168, 216, 260)-net over F₂, using
  - trace code for nets [i] based on digital (6, 54, 65)-net over F₁₆, using
    - net from sequence [i] based on digital (6, 64)-sequence over F₁₆, using
      - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₁₆ with g(F) = 6 and N(F) ≥ 65, using
        the Hermitian function field over F₁₆ [i]

Mode: Constructive and linear.

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