MinT - Information on Result #909173

Information on Result #909173

Linear OOA(3¹⁷⁷, 91, F₃, 2, 120) (dual of [(91, 2), 5, 121]-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(3¹⁶³, 84, F₃, 2, 111) (dual of [(84, 2), 5, 112]-NRT-code), using
- generalized (u,Â u+v)-construction [i] based on
  1. linear OOA(3⁵², 28, F₃, 2, 37) (dual of [(28, 2), 4, 38]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(2;F,18P) [i] based on function field F/F₃ with g(F) = 15 and N(F) ≥ 28, using
      - an explicitly constructive algebraic function field [i]
  2. linear OOA(3⁵⁵, 28, F₃, 2, 55) (dual of [(28, 2), 1, 56]-NRT-code), using
    - dual of repetition NRT-code with length 28 [i]
  3. linear OOA(3⁵⁶, 28, F₃, 2, 56) (dual of [(28, 2), 0, 57]-NRT-code), using
    - complete OOA / dual of NRT-code with only one code word [i]

Mode: Constructive and linear.

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