MinT - Information on Result #909167

Information on Result #909167

Linear OOA(3¹²³, 64, F₃, 2, 84) (dual of [(64, 2), 5, 85]-NRT-code), using juxtaposition based on

linear OOA(3⁹, 7, F₃, 2, 8) (dual of [(7, 2), 5, 9]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(2;F,5P) [i] based on function field F/F₃ with g(F) = 1 and N(F) ≥ 7, using
  - an explicitly constructive algebraic function field [i]
linear OOA(3¹⁰⁹, 57, F₃, 2, 75) (dual of [(57, 2), 5, 76]-NRT-code), using
- generalized (u,Â u+v)-construction [i] based on
  1. linear OOA(3³⁴, 19, F₃, 2, 25) (dual of [(19, 2), 4, 26]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(2;F,12P) [i] based on function field F/F₃ with g(F) = 9 and N(F) ≥ 19, using
      - an explicitly constructive algebraic function field [i]
    - algebraic-geometric NRT-code AG(2;F,4P) with degPÂ =Â 3 [i] based on function field F/F₃ with g(F) = 9 and N(F) ≥ 19, using an explicitly constructive algebraic function field [i]
  2. linear OOA(3³⁷, 19, F₃, 2, 37) (dual of [(19, 2), 1, 38]-NRT-code), using
    - dual of repetition NRT-code with length 19 [i]
  3. linear OOA(3³⁸, 19, F₃, 2, 38) (dual of [(19, 2), 0, 39]-NRT-code), using
    - complete OOA / dual of NRT-code with only one code word [i]

Mode: Constructive and linear.

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