MinT - Information on Result #1011569

Information on Result #1011569

Linear OOA(3²⁴², 96, F₃, 3, 109) (dual of [(96, 3), 46, 110]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(3⁹⁹, 48, F₃, 3, 54) (dual of [(48, 3), 45, 55]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(3;F,89P) [i] based on function field F/F₃ with g(F) = 45 and N(F) ≥ 48, using
  - an explicitly constructive algebraic function field [i]
linear OOA(3¹⁴³, 48, F₃, 3, 109) (dual of [(48, 3), 1, 110]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3¹⁴³, 50, F₃, 3, 109) (dual of [(50, 3), 7, 110]-NRT-code), using
  - juxtaposition [i] based on
    1. linear OOA(3²⁹, 12, F₃, 3, 25) (dual of [(12, 3), 7, 26]-NRT-code), using
      - extended algebraic-geometric NRT-code AG_e(3;F,10P) [i] based on function field F/F₃ with g(F) = 4 and N(F) ≥ 12, using
        an explicitly constructive algebraic function field [i]
    2. linear OOA(3¹⁰⁷, 38, F₃, 3, 83) (dual of [(38, 3), 7, 84]-NRT-code), using
      - repeating each code word 2 times [i] based on linear OOA(3⁵⁰, 19, F₃, 3, 41) (dual of [(19, 3), 7, 42]-NRT-code), using
        extended algebraic-geometric NRT-code AG_e(3;F,15P) [i] based on function field F/F₃ with g(F) = 9 and N(F) ≥ 19, using
        an explicitly constructive algebraic function field [i]

Mode: Constructive and linear.

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