MinT - Information on Result #1025913

Information on Result #1025913

Linear OOA(3²⁴⁶, 89, F₃, 3, 150) (dual of [(89, 3), 21, 151]-NRT-code), using juxtaposition based on

linear OOA(3⁶⁰, 27, F₃, 3, 45) (dual of [(27, 3), 21, 46]-NRT-code), using
- algebraic-geometric NRT-code AG(3;F,35P) [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(3¹⁶⁵, 62, F₃, 3, 104) (dual of [(62, 3), 21, 105]-NRT-code), using
- juxtaposition [i] based on
  1. linear OOA(3⁵⁷, 26, F₃, 3, 42) (dual of [(26, 3), 21, 43]-NRT-code), using
    - discarding factors / shortening the dual code based on linear OOA(3⁵⁷, 27, F₃, 3, 42) (dual of [(27, 3), 24, 43]-NRT-code), using
      - algebraic-geometric NRT-code AG(3;F,38P) [i] based on function field F/F₃ with g(F) = 15 and N(F) ≥ 28 (see above)
  2. linear OOA(3⁸⁷, 36, F₃, 3, 61) (dual of [(36, 3), 21, 62]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,46P) [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,23P) 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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