MinT - Information on Result #909165

Information on Result #909165

Linear OOA(3⁹³, 49, F₃, 2, 64) (dual of [(49, 2), 5, 65]-NRT-code), using juxtaposition based on

linear OOA(3⁹, 7, F₃, 2, 8) (dual of [(7, 2), 5, 9]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(2;F,5P) [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(3⁷⁹, 42, F₃, 2, 55) (dual of [(42, 2), 5, 56]-NRT-code), using
- generalized (u,Â u+v)-construction [i] based on
  1. linear OOA(3²⁴, 14, F₃, 2, 18) (dual of [(14, 2), 4, 19]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(2;F,9P) [i] based on function field F/F₃ with g(F) = 6 and N(F) ≥ 14, using
      - an explicitly constructive algebraic function field [i]
  2. linear OOA(3²⁷, 14, F₃, 2, 27) (dual of [(14, 2), 1, 28]-NRT-code), using
    - dual of repetition NRT-code with length 14 [i]
  3. linear OOA(3²⁸, 14, F₃, 2, 28) (dual of [(14, 2), 0, 29]-NRT-code), using
    - complete OOA / dual of NRT-code with only one code word [i]

Mode: Constructive and linear.

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