MinT - Information on Result #1121226

Information on Result #1121226

Linear OOA(3²⁵⁰, 51, F₃, 5, 218) (dual of [(51, 5), 5, 219]-NRT-code), using juxtaposition based on

linear OOA(3³⁰, 7, F₃, 5, 29) (dual of [(7, 5), 5, 30]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(5;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(3²¹⁵, 44, F₃, 5, 188) (dual of [(44, 5), 5, 189]-NRT-code), using
- juxtaposition [i] based on
  1. linear OOA(3²⁵, 6, F₃, 5, 24) (dual of [(6, 5), 5, 25]-NRT-code), using
    - discarding factors / shortening the dual code based on linear OOA(3²⁵, 7, F₃, 5, 24) (dual of [(7, 5), 10, 25]-NRT-code), using
      - extended algebraic-geometric NRT-code AG_e(5;F,10P) [i] based on function field F/F₃ with g(F) = 1 and N(F) ≥ 7 (see above)
  2. linear OOA(3¹⁸⁵, 38, F₃, 5, 163) (dual of [(38, 5), 5, 164]-NRT-code), using
    - repeating each code word 2 times [i] based on linear OOA(3⁹⁰, 19, F₃, 5, 81) (dual of [(19, 5), 5, 82]-NRT-code), using
      - extended algebraic-geometric NRT-code AG_e(5;F,13P) [i] based on function field F/F₃ with g(F) = 9 and N(F) ≥ 19, using
        an explicitly constructive algebraic function field [i]

Mode: Constructive and linear.

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