The Construction Of Bent Function And Vector Bent Function

Bent functions are widely used in the fileds of cryptography,coding theory and sequence design,which are important research subjects.In this paper,we mainly consider the construction of bent functions and vectorial bent functions.Firstly,based on the construction of Tang et al and Zheng et al,we obtain a new method to construct bent functions from known bent functions.Compared with the previous constructions,our new method has the advantage that it does not need to calculate the dual function of the original bent function.In addition,we also propose a new method of vectorial bent functions,and the vectorial bent functions obtained by this method reach the maximum algebraic degree.