MinT - Information on Result #1025358

Information on Result #1025358

Linear OOA(2¹³², 47, F₂, 3, 75) (dual of [(47, 3), 9, 76]-NRT-code), using juxtaposition based on

linear OOA(2²¹, 10, F₂, 3, 15) (dual of [(10, 3), 9, 16]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(3;F,14P) [i] based on function field F/F₂ with g(F) = 6 and N(F) ≥ 10, using
  - an explicitly constructive algebraic function field [i]
linear OOA(2¹⁰², 37, F₂, 3, 59) (dual of [(37, 3), 9, 60]-NRT-code), using
- juxtaposition [i] based on
  1. linear OOA(2¹⁸, 9, F₂, 3, 13) (dual of [(9, 3), 9, 14]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,13P) [i] based on function field F/F₂ with g(F) = 5 and N(F) ≥ 9, using
      - an explicitly constructive algebraic function field [i]
  2. linear OOA(2⁷⁵, 28, F₂, 3, 45) (dual of [(28, 3), 9, 46]-NRT-code), using
    - repeating each code word 2 times [i] based on linear OOA(2³³, 14, F₂, 3, 22) (dual of [(14, 3), 9, 23]-NRT-code), using
      - extended algebraic-geometric NRT-code AG_e(3;F,19P) [i] based on function field F/F₂ with g(F) = 11 and N(F) ≥ 14, using
        an explicitly constructive algebraic function field [i]

Mode: Constructive and linear.

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