MinT - Information on Result #1026308

Information on Result #1026308

Linear OOA(3²²³, 77, F₃, 3, 165) (dual of [(77, 3), 8, 166]-NRT-code), using juxtaposition based on

linear OOA(3²⁵, 11, F₃, 3, 21) (dual of [(11, 3), 8, 22]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3²⁵, 12, F₃, 3, 21) (dual of [(12, 3), 11, 22]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,14P) [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(3¹⁹⁰, 66, F₃, 3, 143) (dual of [(66, 3), 8, 144]-NRT-code), using
- juxtaposition [i] based on
  1. linear OOA(3²², 10, F₃, 3, 19) (dual of [(10, 3), 8, 20]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,10P) [i] based on function field F/F₃ with g(F) = 3 and N(F) ≥ 10, using
      - an explicitly constructive algebraic function field [i]
  2. linear OOA(3¹⁶⁰, 56, F₃, 3, 123) (dual of [(56, 3), 8, 124]-NRT-code), using
    - repeating each code word 2 times [i] based on linear OOA(3⁷⁶, 28, F₃, 3, 61) (dual of [(28, 3), 8, 62]-NRT-code), using
      - extended algebraic-geometric NRT-code AG_e(3;F,22P) [i] based on function field F/F₃ with g(F) = 15 and N(F) ≥ 28, using
        an explicitly constructive algebraic function field [i]

Mode: Constructive and linear.

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