MinT - Information on Result #1025114

Information on Result #1025114

Linear OOA(2¹⁶³, 59, F₂, 3, 82) (dual of [(59, 3), 14, 83]-NRT-code), using juxtaposition based on

linear OOA(2³⁷, 17, F₂, 3, 22) (dual of [(17, 3), 14, 23]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(3;F,28P) [i] based on function field F/F₂ with g(F) = 15 and N(F) ≥ 17, 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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