MinT - Information on Result #1025959

Information on Result #1025959

Linear OOA(3²⁴⁸, 89, F₃, 3, 156) (dual of [(89, 3), 19, 157]-NRT-code), using juxtaposition based on

linear OOA(3⁶², 27, F₃, 3, 47) (dual of [(27, 3), 19, 48]-NRT-code), using
- algebraic-geometric NRT-code AG(3;F,33P) [i] based on function field F/F₃ with g(F) = 15 and N(F) ≥ 28, using
  - an explicitly constructive algebraic function field [i]
linear OOA(3¹⁶⁷, 62, F₃, 3, 108) (dual of [(62, 3), 19, 109]-NRT-code), using
- juxtaposition [i] based on
  1. linear OOA(3⁵⁹, 26, F₃, 3, 44) (dual of [(26, 3), 19, 45]-NRT-code), using
    - discarding factors / shortening the dual code based on linear OOA(3⁵⁹, 27, F₃, 3, 44) (dual of [(27, 3), 22, 45]-NRT-code), using
      - algebraic-geometric NRT-code AG(3;F,36P) [i] based on function field F/F₃ with g(F) = 15 and N(F) ≥ 28 (see above)
  2. linear OOA(3⁸⁹, 36, F₃, 3, 63) (dual of [(36, 3), 19, 64]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,44P) [i] based on function field F/F₃ with g(F) = 26 and N(F) ≥ 36, using
      - an explicitly constructive algebraic function field [i]
    - algebraic-geometric NRT-code AG(3;F,22P) with degPÂ =Â 2 [i] based on function field F/F₃ with g(F) = 26 and N(F) ≥ 36, using an explicitly constructive algebraic function field [i]

Mode: Constructive and linear.

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