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.

翻译：Bent函数族是一类重要的布尔函数，在密码学中具有重大意义。由Bent函数的支集在$\mathbb{Z}_{2}^{n}$上定义的Cayley图是一个强正则图$srg(v,k\lambda,\mu)$，其中$\lambda=\mu$。本文列出了此类Cayley图的参数，并给出了关于$(n,m)$-Bent函数$F=(f_1,\ldots,f_m)$的一个条件，该条件涉及其分量$f_i$的支集及其$n$元对称差。