MinT - Information on Result #1026517

Information on Result #1026517

Linear OOA(3²²⁶, 77, F₃, 3, 178) (dual of [(77, 3), 5, 179]-NRT-code), using juxtaposition based on

linear OOA(3²⁵, 10, F₃, 3, 22) (dual of [(10, 3), 5, 23]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(3;F,7P) [i] based on function field F/F₃ with g(F) = 3 and N(F) ≥ 10, using
  - an explicitly constructive algebraic function field [i]
linear OOA(3¹⁹⁶, 67, F₃, 3, 155) (dual of [(67, 3), 5, 156]-NRT-code), using
- juxtaposition [i] based on
  1. linear OOA(3¹⁶, 7, F₃, 3, 15) (dual of [(7, 3), 5, 16]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;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]
  2. linear OOA(3¹⁷⁵, 60, F₃, 3, 139) (dual of [(60, 3), 5, 140]-NRT-code), using
    - repeating each code word 5 times [i] based on linear OOA(3³¹, 12, F₃, 3, 27) (dual of [(12, 3), 5, 28]-NRT-code), using
      - extended algebraic-geometric NRT-code AG_e(3;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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