MinT - Information on Result #1025118

Information on Result #1025118

Linear OOA(2¹⁶⁹, 61, F₂, 3, 84) (dual of [(61, 3), 14, 85]-NRT-code), using juxtaposition based on

linear OOA(2⁴³, 19, F₂, 3, 24) (dual of [(19, 3), 14, 25]-NRT-code), using
- algebraic-geometric NRT-code AG(3;F,32P) [i] based on function field F/F₂ with g(F) = 19 and N(F) ≥ 20, using
  - an explicitly constructive algebraic function field [i]
linear OOA(2¹¹², 42, F₂, 3, 59) (dual of [(42, 3), 14, 60]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(2⁵⁰, 21, F₂, 3, 29) (dual of [(21, 3), 13, 30]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,33P) [i] based on function field F/F₂ with g(F) = 21 and N(F) ≥ 21, using
      - an explicitly constructive algebraic function field [i]
  2. linear OOA(2⁶², 21, F₂, 3, 59) (dual of [(21, 3), 1, 60]-NRT-code), using
    - strength reduction [i] based on linear OOA(2⁶², 21, F₂, 3, 62) (dual of [(21, 3), 1, 63]-NRT-code), using
      - dual of repetition NRT-code with length 21 [i]

Mode: Constructive and linear.

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