MinT - Information on Result #909166

Information on Result #909166

Linear OOA(3¹⁰⁵, 55, F₃, 2, 72) (dual of [(55, 2), 5, 73]-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(3⁹¹, 48, F₃, 2, 63) (dual of [(48, 2), 5, 64]-NRT-code), using
- generalized (u,Â u+v)-construction [i] based on
  1. linear OOA(3²⁸, 16, F₃, 2, 21) (dual of [(16, 2), 4, 22]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(2;F,10P) [i] based on function field F/F₃ with g(F) = 7 and N(F) ≥ 16, using
      - an explicitly constructive algebraic function field [i]
  2. linear OOA(3³¹, 16, F₃, 2, 31) (dual of [(16, 2), 1, 32]-NRT-code), using
    - dual of repetition NRT-code with length 16 [i]
  3. linear OOA(3³², 16, F₃, 2, 32) (dual of [(16, 2), 0, 33]-NRT-code), using
    - complete OOA / dual of NRT-code with only one code word [i]

Mode: Constructive and linear.

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