MinT - Information on Result #1121224

Information on Result #1121224

Linear OOA(3²⁴⁰, 49, F₃, 5, 210) (dual of [(49, 5), 5, 211]-NRT-code), using juxtaposition based on

linear OOA(3³⁰, 7, F₃, 5, 29) (dual of [(7, 5), 5, 30]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(5;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(3²⁰⁵, 42, F₃, 5, 180) (dual of [(42, 5), 5, 181]-NRT-code), using
- juxtaposition [i] based on
  1. linear OOA(3²⁵, 6, F₃, 5, 24) (dual of [(6, 5), 5, 25]-NRT-code), using
    - discarding factors / shortening the dual code based on linear OOA(3²⁵, 7, F₃, 5, 24) (dual of [(7, 5), 10, 25]-NRT-code), using
      - extended algebraic-geometric NRT-code AG_e(5;F,10P) [i] based on function field F/F₃ with g(F) = 1 and N(F) ≥ 7 (see above)
  2. linear OOA(3¹⁷⁵, 36, F₃, 5, 155) (dual of [(36, 5), 5, 156]-NRT-code), using
    - repeating each code word 3 times [i] based on linear OOA(3⁵⁵, 12, F₃, 5, 51) (dual of [(12, 5), 5, 52]-NRT-code), using
      - extended algebraic-geometric NRT-code AG_e(5;F,8P) [i] based on function field F/F₃ with g(F) = 4 and N(F) ≥ 12, using
        an explicitly constructive algebraic function field [i]

Mode: Constructive and linear.

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