MinT - Information on Result #1011289

Information on Result #1011289

Linear OOA(3¹⁶⁷, 68, F₃, 3, 80) (dual of [(68, 3), 37, 81]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(3⁶⁶, 36, F₃, 3, 40) (dual of [(36, 3), 42, 41]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(3;F,67P) [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, 80) (dual of [(34, 3), 1, 81]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3¹⁰¹, 35, F₃, 3, 80) (dual of [(35, 3), 4, 81]-NRT-code), using
  - strength reduction [i] based on linear OOA(3¹⁰¹, 35, F₃, 3, 84) (dual of [(35, 3), 4, 85]-NRT-code), using
    - repeating each code word 5 times [i] based on linear OOA(3¹⁷, 7, F₃, 3, 16) (dual of [(7, 3), 4, 17]-NRT-code), using
      - extended algebraic-geometric NRT-code AG_e(3;F,4P) [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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