MinT - Information on Result #1026697

Information on Result #1026697

Linear OOA(4²⁰¹, 75, F₄, 3, 135) (dual of [(75, 3), 24, 136]-NRT-code), using juxtaposition based on

linear OOA(4⁴⁸, 24, F₄, 3, 38) (dual of [(24, 3), 24, 39]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4⁴⁸, 26, F₄, 3, 38) (dual of [(26, 3), 30, 39]-NRT-code), using
  - algebraic-geometric NRT-code AG(3;F,39P) [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(4¹²⁹, 51, F₄, 3, 96) (dual of [(51, 3), 24, 97]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4¹²⁹, 55, F₄, 3, 96) (dual of [(55, 3), 36, 97]-NRT-code), using
  - algebraic-geometric NRT-code AG(3;F,68P) [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.

None.

None.