  In this paper, we study translation hyperovals in PG$(2,q^k)$. The main
result of this paper characterises the point sets defined by translation
hyperovals in the Andr\'e/Bruck-Bose representation. We show that the affine
point sets of translation hyperovals in PG$(2,q^k)$ are precisely those that
have a scattered $\mathbb{F}_2$-linear set of pseudoregulus type in
PG$(2k-1,q)$ as set of directions. This correspondence is used to generalise
the results of Barwick and Jackson who provided a characterisation for
translation hyperovals in PG$(2,q^2)$.
