MinT - Information on Result #1011568

Information on Result #1011568

Linear OOA(3²³⁹, 94, F₃, 3, 109) (dual of [(94, 3), 43, 110]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(3⁹⁹, 48, F₃, 3, 54) (dual of [(48, 3), 45, 55]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(3;F,89P) [i] based on function field F/F₃ with g(F) = 45 and N(F) ≥ 48, using
  - an explicitly constructive algebraic function field [i]
linear OOA(3¹⁴⁰, 47, F₃, 3, 109) (dual of [(47, 3), 1, 110]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3¹⁴⁰, 48, F₃, 3, 109) (dual of [(48, 3), 4, 110]-NRT-code), using
  - strength reduction [i] based on linear OOA(3¹⁴⁰, 48, F₃, 3, 111) (dual of [(48, 3), 4, 112]-NRT-code), using
    - repeating each code word 8 times [i] based on linear OOA(3¹⁴, 6, F₃, 3, 13) (dual of [(6, 3), 4, 14]-NRT-code), using
      - discarding factors / shortening the dual code based on linear OOA(3¹⁴, 7, F₃, 3, 13) (dual of [(7, 3), 7, 14]-NRT-code), using
        extended algebraic-geometric NRT-code AG_e(3;F,7P) [i] based on function field F/F₃ with g(F) = 1 and N(F) ≥ 7, using
        an explicitly constructive algebraic function field [i]

Mode: Constructive and linear.

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