MinT - Information on Result #894266

Information on Result #894266

Linear OOA(2³⁵, 26, F₂, 2, 15) (dual of [(26, 2), 17, 16]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(2¹², 13, F₂, 2, 7) (dual of [(13, 2), 14, 8]-NRT-code), using
- extracting embedded OOA [i] based on digital (5, 12, 13)-net over F₂, using
  - linear code embedding found in a computer search [i]
linear OOA(2²³, 13, F₂, 2, 15) (dual of [(13, 2), 3, 16]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(2⁸, 5, F₂, 2, 7) (dual of [(5, 2), 2, 8]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(2;F,2P) [i] based on function field F/F₂ with g(F) = 1 and N(F) ≥ 5, using
      - an explicitly constructive algebraic function field [i]
  2. linear OOA(2¹⁵, 8, F₂, 2, 15) (dual of [(8, 2), 1, 16]-NRT-code), using
    - dual of repetition NRT-code with length 8 [i]

Mode: Constructive and linear.

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