一类几乎完全非线性多项式函数

摘要

In this paper,a new family of almost perfect nonlinear（APN） polynomial functions over F22m are introduced,and they are shown to be CCZ-inequivalent to power functions when m=4.Moreover,a new family of bent functions is constructed with these APN functions.%本文给出了F22m上的一类几乎完全非线性多项式函数,该多项式函数在m=4时CCZ不等价于所有已知的幂函数,且由其可构造出一类新的bent函数.