MinT - Information on Result #1026797

Information on Result #1026797

Linear OOA(4¹⁹⁴, 71, F₄, 3, 136) (dual of [(71, 3), 19, 137]-NRT-code), using juxtaposition based on

linear OOA(4³⁸, 19, F₄, 3, 31) (dual of [(19, 3), 19, 32]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4³⁸, 21, F₄, 3, 31) (dual of [(21, 3), 25, 32]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,31P) [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(4¹³⁷, 52, F₄, 3, 104) (dual of [(52, 3), 19, 105]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4¹³⁷, 55, F₄, 3, 104) (dual of [(55, 3), 28, 105]-NRT-code), using
  - algebraic-geometric NRT-code AG(3;F,60P) [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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