MinT - Information on Result #1026187

Information on Result #1026187

Linear OOA(3¹⁷⁵, 62, F₃, 3, 124) (dual of [(62, 3), 11, 125]-NRT-code), using juxtaposition based on

linear OOA(3⁴³, 18, F₃, 3, 34) (dual of [(18, 3), 11, 35]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3⁴³, 19, F₃, 3, 34) (dual of [(19, 3), 14, 35]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,22P) [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(3¹²¹, 44, F₃, 3, 89) (dual of [(44, 3), 11, 90]-NRT-code), using
- juxtaposition [i] based on
  1. linear OOA(3³⁷, 16, F₃, 3, 30) (dual of [(16, 3), 11, 31]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,17P) [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(3⁷³, 28, F₃, 3, 58) (dual of [(28, 3), 11, 59]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,25P) [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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