MinT - Information on Result #1011374

Information on Result #1011374

Linear OOA(3¹⁷⁷, 72, F₃, 3, 88) (dual of [(72, 3), 39, 89]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(3⁷⁰, 36, F₃, 3, 44) (dual of [(36, 3), 38, 45]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(3;F,63P) [i] based on function field F/F₃ with g(F) = 26 and N(F) ≥ 36, using
  - an explicitly constructive algebraic function field [i]
linear OOA(3¹⁰⁷, 36, F₃, 3, 88) (dual of [(36, 3), 1, 89]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3¹⁰⁷, 37, F₃, 3, 88) (dual of [(37, 3), 4, 89]-NRT-code), using
  - juxtaposition [i] based on
    1. linear OOA(3¹⁷, 7, F₃, 3, 16) (dual of [(7, 3), 4, 17]-NRT-code), using
      - extended algebraic-geometric NRT-code AG_e(3;F,4P) [i] based on function field F/F₃ with g(F) = 1 and N(F) ≥ 7, using
        an explicitly constructive algebraic function field [i]
    2. linear OOA(3⁸⁶, 30, F₃, 3, 71) (dual of [(30, 3), 4, 72]-NRT-code), using
      - repeating each code word 3 times [i] based on linear OOA(3²⁶, 10, F₃, 3, 23) (dual of [(10, 3), 4, 24]-NRT-code), using
        extended algebraic-geometric NRT-code AG_e(3;F,6P) [i] based on function field F/F₃ with g(F) = 3 and N(F) ≥ 10, using
        an explicitly constructive algebraic function field [i]

Mode: Constructive and linear.

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