On the non--existence of certain hyperovals in dual Andr\'e planes of   order $2^{2h}$
  No regular hyperoval of the Desarguesian affine plane $AG(2,2^{2h})$, with $h>1$, is inherited by a dual Andr\'e plane of order $2^{2h}$ with dimension 2 over its centre. 
A. Aguglia, L. Giuzzi