MinT - Information on Result #1027216

Information on Result #1027216

Linear OOA(4²⁴³, 84, F₄, 3, 192) (dual of [(84, 3), 9, 193]-NRT-code), using juxtaposition based on

linear OOA(4⁶⁹, 26, F₄, 3, 59) (dual of [(26, 3), 9, 60]-NRT-code), using
- algebraic-geometric NRT-code AG(3;F,18P) [i] based on function field F/F₄ with g(F) = 10 and N(F) ≥ 27, using
  - an explicitly constructive algebraic function field [i]
linear OOA(4¹⁶⁵, 58, F₄, 3, 132) (dual of [(58, 3), 9, 133]-NRT-code), using
- juxtaposition [i] based on
  1. linear OOA(4⁶⁶, 25, F₄, 3, 56) (dual of [(25, 3), 9, 57]-NRT-code), using
    - discarding factors / shortening the dual code based on linear OOA(4⁶⁶, 26, F₄, 3, 56) (dual of [(26, 3), 12, 57]-NRT-code), using
      - algebraic-geometric NRT-code AG(3;F,21P) [i] based on function field F/F₄ with g(F) = 10 and N(F) ≥ 27 (see above)
  2. linear OOA(4⁹⁰, 33, F₄, 3, 75) (dual of [(33, 3), 9, 76]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,23P) [i] based on function field F/F₄ with g(F) = 15 and N(F) ≥ 33, using
      - an explicitly constructive algebraic function field [i]

Mode: Constructive and linear.

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