MinT - Information on Result #1026929

Information on Result #1026929

Linear OOA(4²²⁸, 81, F₄, 3, 171) (dual of [(81, 3), 15, 172]-NRT-code), using juxtaposition based on

linear OOA(4⁶⁰, 25, F₄, 3, 50) (dual of [(25, 3), 15, 51]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4⁶⁰, 26, F₄, 3, 50) (dual of [(26, 3), 18, 51]-NRT-code), using
  - algebraic-geometric NRT-code AG(3;F,27P) [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(4¹⁵³, 56, F₄, 3, 120) (dual of [(56, 3), 15, 121]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(3;F,47P) [i] based on function field F/F₄ with g(F) = 33 and N(F) ≥ 56, using
  - F₅ from the tower of function fields by GarcÃa and Stichtenoth over F₄ [i]

Mode: Constructive and linear.

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