MinT - Information on Result #1011246

Information on Result #1011246

Linear OOA(3¹⁶⁵, 68, F₃, 3, 77) (dual of [(68, 3), 39, 78]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(3⁶⁴, 36, F₃, 3, 38) (dual of [(36, 3), 44, 39]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(3;F,69P) [i] based on function field F/F₃ with g(F) = 26 and N(F) ≥ 36, using
  - an explicitly constructive algebraic function field [i]
linear OOA(3¹⁰¹, 34, F₃, 3, 77) (dual of [(34, 3), 1, 78]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3¹⁰¹, 36, F₃, 3, 77) (dual of [(36, 3), 7, 78]-NRT-code), using
  - repeating each code word 3 times [i] based on linear OOA(3²⁹, 12, F₃, 3, 25) (dual of [(12, 3), 7, 26]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,10P) [i] based on function field F/F₃ with g(F) = 4 and N(F) ≥ 12, using
      - an explicitly constructive algebraic function field [i]

Mode: Constructive and linear.

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