MinT - Information on Result #1027120

Information on Result #1027120

Linear OOA(4²⁴¹, 84, F₄, 3, 188) (dual of [(84, 3), 11, 189]-NRT-code), using juxtaposition based on

linear OOA(4⁷⁰, 27, F₄, 3, 60) (dual of [(27, 3), 11, 61]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(3;F,20P) [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(4¹⁶⁰, 57, F₄, 3, 127) (dual of [(57, 3), 11, 128]-NRT-code), using
- juxtaposition [i] based on
  1. linear OOA(4⁷⁰, 27, F₄, 3, 60) (dual of [(27, 3), 11, 61]-NRT-code) (see above)
  2. linear OOA(4⁷⁹, 30, F₄, 3, 66) (dual of [(30, 3), 11, 67]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,23P) [i] based on function field F/F₄ with g(F) = 13 and N(F) ≥ 30, using
      - F₄ from the tower of function fields by GarcÃa and Stichtenoth over F₄ [i]

Mode: Constructive and linear.

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