MinT - Information on Result #1025170

Information on Result #1025170

Linear OOA(2¹³⁸, 50, F₂, 3, 72) (dual of [(50, 3), 12, 73]-NRT-code), using juxtaposition based on

linear OOA(2³³, 15, F₂, 3, 20) (dual of [(15, 3), 12, 21]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(3;F,24P) [i] based on function field F/F₂ with g(F) = 13 and N(F) ≥ 15, using
  - an explicitly constructive algebraic function field [i]
linear OOA(2⁹³, 35, F₂, 3, 51) (dual of [(35, 3), 12, 52]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(2⁴⁰, 17, F₂, 3, 25) (dual of [(17, 3), 11, 26]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,25P) [i] based on function field F/F₂ with g(F) = 15 and N(F) ≥ 17, using
      - an explicitly constructive algebraic function field [i]
  2. linear OOA(2⁵³, 18, F₂, 3, 51) (dual of [(18, 3), 1, 52]-NRT-code), using
    - strength reduction [i] based on linear OOA(2⁵³, 18, F₂, 3, 53) (dual of [(18, 3), 1, 54]-NRT-code), using
      - dual of repetition NRT-code with length 18 [i]

Mode: Constructive and linear.

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