MinT - Information on Result #1026678

Information on Result #1026678

Linear OOA(4¹⁹⁷, 74, F₄, 3, 130) (dual of [(74, 3), 25, 131]-NRT-code), using juxtaposition based on

linear OOA(4⁵⁰, 25, F₄, 3, 40) (dual of [(25, 3), 25, 41]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4⁵⁰, 26, F₄, 3, 40) (dual of [(26, 3), 28, 41]-NRT-code), using
  - algebraic-geometric NRT-code AG(3;F,37P) [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(4¹²², 49, F₄, 3, 89) (dual of [(49, 3), 25, 90]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4¹²², 55, F₄, 3, 89) (dual of [(55, 3), 43, 90]-NRT-code), using
  - algebraic-geometric NRT-code AG(3;F,75P) [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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None.