MinT - Information on Result #1025204

Information on Result #1025204

Linear OOA(2¹⁶⁰, 57, F₂, 3, 86) (dual of [(57, 3), 11, 87]-NRT-code), using juxtaposition based on

linear OOA(2³¹, 14, F₂, 3, 20) (dual of [(14, 3), 11, 21]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(3;F,21P) [i] based on function field F/F₂ with g(F) = 11 and N(F) ≥ 14, using
  - an explicitly constructive algebraic function field [i]
linear OOA(2¹¹⁸, 43, F₂, 3, 65) (dual of [(43, 3), 11, 66]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(2⁵³, 21, F₂, 3, 32) (dual of [(21, 3), 10, 33]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,30P) [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(2⁶⁵, 22, F₂, 3, 65) (dual of [(22, 3), 1, 66]-NRT-code), using
    - dual of repetition NRT-code with length 22 [i]

Mode: Constructive and linear.

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