MinT - Information on Result #909202

Information on Result #909202

Linear OOA(3¹⁹⁹, 102, F₃, 2, 135) (dual of [(102, 2), 5, 136]-NRT-code), using juxtaposition based on

linear OOA(3¹⁹, 12, F₃, 2, 15) (dual of [(12, 2), 5, 16]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(2;F,8P) [i] based on function field F/F₃ with g(F) = 4 and N(F) ≥ 12, using
  - an explicitly constructive algebraic function field [i]
linear OOA(3¹⁷⁵, 90, F₃, 2, 119) (dual of [(90, 2), 5, 120]-NRT-code), using
- repeating each code word 5 times [i] based on linear OOA(3³¹, 18, F₃, 2, 23) (dual of [(18, 2), 5, 24]-NRT-code), using
  - generalized (u,Â u+v)-construction [i] based on
    1. linear OOA(3⁸, 6, F₃, 2, 7) (dual of [(6, 2), 4, 8]-NRT-code), using
      - discarding factors / shortening the dual code based on linear OOA(3⁸, 7, F₃, 2, 7) (dual of [(7, 2), 6, 8]-NRT-code), using
        extended algebraic-geometric NRT-code AG_e(2;F,6P) [i] based on function field F/F₃ with g(F) = 1 and N(F) ≥ 7, using
        an explicitly constructive algebraic function field [i]
    2. linear OOA(3¹¹, 6, F₃, 2, 11) (dual of [(6, 2), 1, 12]-NRT-code), using
      - dual of repetition NRT-code with length 6 [i]
    3. linear OOA(3¹², 6, F₃, 2, 12) (dual of [(6, 2), 0, 13]-NRT-code), using
      - complete OOA / dual of NRT-code with only one code word [i]

Mode: Constructive and linear.

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