MinT - Information on Result #1025172

Information on Result #1025172

Linear OOA(2¹²³, 45, F₂, 3, 66) (dual of [(45, 3), 12, 67]-NRT-code), using juxtaposition based on

linear OOA(2³⁹, 17, F₂, 3, 24) (dual of [(17, 3), 12, 25]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(3;F,26P) [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(2⁷², 28, F₂, 3, 41) (dual of [(28, 3), 12, 42]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. 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]
  2. linear OOA(2⁴¹, 14, F₂, 3, 41) (dual of [(14, 3), 1, 42]-NRT-code), using
    - dual of repetition NRT-code with length 14 [i]

Mode: Constructive and linear.

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