International Association
for Cryptologic Research

In the literature, few constructions of $n$-variable rotation

symmetric bent functions have been presented, which either have

restriction on $n$ or have algebraic degree no more than $4$. In

this paper, for any even integer $n=2m\\ge2$, a first systemic

construction of $n$-variable rotation symmetric bent functions, with

any possible algebraic degrees ranging from $2$ to $m$, is proposed.