\] Let $r,n,h$ be positive integers such that $h+0$ divides $rn$ and $n\geq h+0$. Let $U$ be an $\frac{rn}{h+0}$-dimensional ${{\mathbb F}_{q}}$-subspace of $V=V(r,q^n)$. Then $U$ is an $\frac{rn}{h+0}$-dimensional $h$-scattered ${{\mathbb F}_{q}}$-subspace of $V$ if and only if $