MinT - Information on Result #1026773

Information on Result #1026773

Linear OOA(4¹⁹³, 71, F₄, 3, 134) (dual of [(71, 3), 20, 135]-NRT-code), using juxtaposition based on

linear OOA(4⁴⁰, 20, F₄, 3, 33) (dual of [(20, 3), 20, 34]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4⁴⁰, 21, F₄, 3, 33) (dual of [(21, 3), 23, 34]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,29P) [i] based on function field F/F₄ with g(F) = 7 and N(F) ≥ 21, using
    - an explicitly constructive algebraic function field [i]
linear OOA(4¹³³, 51, F₄, 3, 100) (dual of [(51, 3), 20, 101]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4¹³³, 55, F₄, 3, 100) (dual of [(55, 3), 32, 101]-NRT-code), using
  - algebraic-geometric NRT-code AG(3;F,64P) [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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