MinT - Information on Result #1027277

Information on Result #1027277

Linear OOA(4²⁴¹, 83, F₄, 3, 194) (dual of [(83, 3), 8, 195]-NRT-code), using juxtaposition based on

linear OOA(4⁷³, 27, F₄, 3, 63) (dual of [(27, 3), 8, 64]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(3;F,17P) [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, 56, F₄, 3, 130) (dual of [(56, 3), 8, 131]-NRT-code), using
- juxtaposition [i] based on
  1. linear OOA(4⁷⁰, 26, F₄, 3, 60) (dual of [(26, 3), 8, 61]-NRT-code), using
    - algebraic-geometric NRT-code AG(3;F,17P) [i] based on function field F/F₄ with g(F) = 10 and N(F) ≥ 27 (see above)
  2. linear OOA(4⁸², 30, F₄, 3, 69) (dual of [(30, 3), 8, 70]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,20P) [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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None.