MinT - Information on Result #1011139

Information on Result #1011139

Linear OOA(3¹²⁸, 54, F₃, 3, 67) (dual of [(54, 3), 34, 68]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(3⁴⁸, 28, F₃, 3, 33) (dual of [(28, 3), 36, 34]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(3;F,50P) [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(3⁸⁰, 27, F₃, 3, 67) (dual of [(27, 3), 1, 68]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3⁸⁰, 28, F₃, 3, 67) (dual of [(28, 3), 4, 68]-NRT-code), using
  - repeating each code word 4 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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