MinT - Information on Result #1026414

Information on Result #1026414

Linear OOA(3²⁰¹, 69, F₃, 3, 154) (dual of [(69, 3), 6, 155]-NRT-code), using juxtaposition based on

linear OOA(3¹⁵, 7, F₃, 3, 14) (dual of [(7, 3), 6, 15]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(3;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]
linear OOA(3¹⁸⁰, 62, F₃, 3, 139) (dual of [(62, 3), 6, 140]-NRT-code), using
- juxtaposition [i] based on
  1. linear OOA(3¹², 6, F₃, 3, 11) (dual of [(6, 3), 6, 12]-NRT-code), using
    - discarding factors / shortening the dual code based on linear OOA(3¹², 7, F₃, 3, 11) (dual of [(7, 3), 9, 12]-NRT-code), using
      - extended algebraic-geometric NRT-code AG_e(3;F,9P) [i] based on function field F/F₃ with g(F) = 1 and N(F) ≥ 7 (see above)
  2. linear OOA(3¹⁶², 56, F₃, 3, 127) (dual of [(56, 3), 6, 128]-NRT-code), using
    - repeating each code word 2 times [i] based on linear OOA(3⁷⁸, 28, F₃, 3, 63) (dual of [(28, 3), 6, 64]-NRT-code), using
      - extended algebraic-geometric NRT-code AG_e(3;F,20P) [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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