MinT - Information on Result #1026715

Information on Result #1026715

Linear OOA(4²⁰², 75, F₄, 3, 137) (dual of [(75, 3), 23, 138]-NRT-code), using juxtaposition based on

linear OOA(4⁴⁶, 23, F₄, 3, 36) (dual of [(23, 3), 23, 37]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4⁴⁶, 26, F₄, 3, 36) (dual of [(26, 3), 32, 37]-NRT-code), using
  - algebraic-geometric NRT-code AG(3;F,41P) [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(4¹³³, 52, F₄, 3, 100) (dual of [(52, 3), 23, 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.

None.

None.