MinT - Information on Result #1026454

Information on Result #1026454

Linear OOA(3²³¹, 79, F₃, 3, 178) (dual of [(79, 3), 6, 179]-NRT-code), using juxtaposition based on

linear OOA(3³⁰, 12, F₃, 3, 26) (dual of [(12, 3), 6, 27]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(3;F,9P) [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(3¹⁹⁵, 67, F₃, 3, 151) (dual of [(67, 3), 6, 152]-NRT-code), using
- juxtaposition [i] based on
  1. linear OOA(3²⁷, 11, F₃, 3, 23) (dual of [(11, 3), 6, 24]-NRT-code), using
    - discarding factors / shortening the dual code based on linear OOA(3²⁷, 12, F₃, 3, 23) (dual of [(12, 3), 9, 24]-NRT-code), using
      - extended algebraic-geometric NRT-code AG_e(3;F,12P) [i] based on function field F/F₃ with g(F) = 4 and N(F) ≥ 12 (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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