  Lunardon and Polverino construct a translation plane starting from a
scattered linear set of pseudoregulus type in $\mathrm{PG}(1,q^t)$. In this
paper a similar construction of a translation plane $\mathcal A_f$ obtained
from any scattered linearized polynomial $f(x)$ in $\mathbb F_{q^t}[x]$ is
described and investigated. A class of quasifields giving rise to such planes
is defined. Denote by $U_f$ the $\mathbb F_q$-subspace of $\mathbb F_{q^t}^2$
associated with $f(x)$. If $f(x)$ and $f'(x)$ are scattered, then $\mathcal
A_f$ and $\mathcal A_{f'}$ are isomorphic if and only if $U_f$ and $U_{f'}$
belong to the same orbit under the action of $\Gamma\mathrm L(2,q^t)$. This
gives rise to as many distinct translation planes as there are inequivalent
scattered linearized polynomials. In particular, for any scattered linear set
$L$ of maximum rank in $\mathrm{PG}(1,q^t)$ there are $c_\Gamma(L)$ pairwise
non-isomorphic translation planes, where $c_\Gamma(L)$ denotes the
$\Gamma\mathrm L$-class of $L$, as defined by Csajb\'ok, Marino and Polverino.
A result by Jha and Johnson allows to describe the automorphism groups of the
planes obtained from the linear sets not of pseudoregulus type defined by
Lunardon and Polverino.
