  The family of bent functions is a known class of Boolean functions, which
have a great importance in cryptography. The Cayley graph defined on
$\mathbb{Z}_{2}^{n}$ by the support of a bent function is a strongly regular
graph $srg(v,k\lambda,\mu)$, with $\lambda=\mu$. In this note we list the
parameters of such Cayley graphs. Moreover, it is given a condition on
$(n,m)$-bent functions $F=(f_1,\ldots,f_m)$, involving the support of their
components $f_i$, and their $n$-ary symmetric differences.
