MinT - Information on Result #1093647

Information on Result #1093647

Linear OOA(3²⁴⁷, 89, F₃, 4, 111) (dual of [(89, 4), 109, 112]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(3⁹¹, 41, F₃, 4, 55) (dual of [(41, 4), 73, 56]-NRT-code), using
- constructionÂ X applied to AG(4;F,44P) âŠ‚ AG(4;F,49P) [i] based on
  1. linear OOA(3⁸¹, 36, F₃, 4, 55) (dual of [(36, 4), 63, 56]-NRT-code), using algebraic-geometric NRT-code AG(4;F,44P) 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]
  2. linear OOA(3⁷¹, 36, F₃, 4, 45) (dual of [(36, 4), 73, 46]-NRT-code), using algebraic-geometric NRT-code AG(4;F,49P) with degPÂ =Â 2 [i] based on function field F/F₃ with g(F) = 26 and N(F) ≥ 36 (see above)
  3. linear OOA(3¹⁰, 5, F₃, 4, 9) (dual of [(5, 4), 10, 10]-NRT-code), using
    - discarding factors / shortening the dual code based on linear OOA(3¹⁰, 7, F₃, 4, 9) (dual of [(7, 4), 18, 10]-NRT-code), using
      - extended algebraic-geometric NRT-code AG_e(4;F,18P) [i] based on function field F/F₃ with g(F) = 1 and N(F) ≥ 7, using
        an explicitly constructive algebraic function field [i]
linear OOA(3¹⁵⁶, 48, F₃, 4, 111) (dual of [(48, 4), 36, 112]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(4;F,80P) [i] based on function field F/F₃ with g(F) = 45 and N(F) ≥ 48, using
  - an explicitly constructive algebraic function field [i]

Mode: Constructive and linear.

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