MinT - Information on Result #1087482

Information on Result #1087482

Linear OOA(3²³⁹, 62, F₃, 4, 192) (dual of [(62, 4), 9, 193]-NRT-code), using juxtaposition based on

linear OOA(3⁶³, 18, F₃, 4, 54) (dual of [(18, 4), 9, 55]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3⁶³, 19, F₃, 4, 54) (dual of [(19, 4), 13, 55]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;F,21P) [i] based on function field F/F₃ with g(F) = 9 and N(F) ≥ 19, using
    - an explicitly constructive algebraic function field [i]
linear OOA(3¹⁶⁷, 44, F₃, 4, 137) (dual of [(44, 4), 9, 138]-NRT-code), using
- juxtaposition [i] based on
  1. linear OOA(3⁵⁵, 16, F₃, 4, 48) (dual of [(16, 4), 9, 49]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(4;F,15P) [i] based on function field F/F₃ with g(F) = 7 and N(F) ≥ 16, using
      - an explicitly constructive algebraic function field [i]
  2. linear OOA(3¹⁰³, 28, F₃, 4, 88) (dual of [(28, 4), 9, 89]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(4;F,23P) [i] based on function field F/F₃ with g(F) = 15 and N(F) ≥ 28, using
      - an explicitly constructive algebraic function field [i]

Mode: Constructive and linear.

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