一类幂函数的c-差分性质及其(-1)-差分谱OA北大核心CSTPCD

Differential attack is one of the most effective methods to attack iterative block cipher.The ability of cryptographic algorithms to resist differential attack is closely related to the ability of cryptographic functions to resist differential cryptanalysis,which can be measured by the differential uniformity.The smaller the differential uniformity of cryptographic functions,the stronger their ability to resist differential attack.In order to resist differential attack,the core component S-boxes of block cipher algorithms should have low differential uniformity.Meanwhile,cryptographic functions with low differential uniformity are widely used in areas such as coding theory and combinatorial design.The multiplicative differential attack has been proposed as a generalization of the differential attack,and the ability of cryptographic functions to resist multiplicative differential attack is reflected by their c-differential uniformity.This paper mainly studies the c-differential properties of the power function xpn+3/2 over Fpn,where p is an odd prime and n is a positive integer.The upper bound of the c-differential uniformity of this class of power functions is given for a general c≠±1,and its c-differential spectrum is presented when c=-1.