密码学报2024，Vol.11Issue(2)：371-386,16.DOI:10.13868/j.cnki.jcr.000685
一类幂函数的c-差分性质及其(-1)-差分谱
The c-Differential Properties of a Class of Power Functions and Their(-1)-Differential Spectrum
摘要
Abstract
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.关键词
幂函数/c-差分均匀度/c-差分谱/特征和Key words
power function/c-differential uniformity/c-differential spectrum/character sum分类
计算机与自动化引用本文复制引用
谭先彤,阎昊德..一类幂函数的c-差分性质及其(-1)-差分谱[J].密码学报,2024,11(2):371-386,16.基金项目
中央高校基本科研业务费专项资金(2682023ZTPY002)the Fundamental Research Funds for the Central Universities of China(2682023ZTPY002) （2682023ZTPY002）
