MinT - Information on Result #1025832

Information on Result #1025832

Linear OOA(3²⁴², 89, F₃, 3, 138) (dual of [(89, 3), 25, 139]-NRT-code), using juxtaposition based on

linear OOA(3⁵⁶, 27, F₃, 3, 41) (dual of [(27, 3), 25, 42]-NRT-code), using
- algebraic-geometric NRT-code AG(3;F,39P) [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(3¹⁶¹, 62, F₃, 3, 96) (dual of [(62, 3), 25, 97]-NRT-code), using
- juxtaposition [i] based on
  1. linear OOA(3⁵³, 26, F₃, 3, 38) (dual of [(26, 3), 25, 39]-NRT-code), using
    - discarding factors / shortening the dual code based on linear OOA(3⁵³, 27, F₃, 3, 38) (dual of [(27, 3), 28, 39]-NRT-code), using
      - algebraic-geometric NRT-code AG(3;F,42P) [i] based on function field F/F₃ with g(F) = 15 and N(F) ≥ 28 (see above)
  2. linear OOA(3⁸³, 36, F₃, 3, 57) (dual of [(36, 3), 25, 58]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,50P) [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,25P) 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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