Constructions of rotation symmetric Bent functions and Bent idempotent functions

The class of rotation symmetric functions is extremely rich in terms cryptographical significance. However, few constructions bent functions, which can correspond to idempotent have been presented the literature. In this paper, for any even integer $ n\geq{4} $, we first construct an n $-variable function by modifying truth table Rothaus's on vector space \mathbb{F}_2^n and then obtain a corresponding it finite field \mathbb{F}_{2^n} $. By generalizing proposed Boolean function, family are over