计算机工程Issue(5)：130-132,3.DOI:10.3969/j.issn.1000-3428.2015.05.023
q-进制密码函数的相关系数研究
Research on Correlation Coefficients of q-ary Crytptographic Functions
摘要
Abstract
The correlation coefficients of cryptographic functions are very important concepts in designing cryptographic functions. In this paper,by using some known conclusions and the definitions of Fourier coefficients and cross-correlation coefficients,the relationship between cross-correlation coefficients and Fourier coefficients of two q-ary cryptographic functions is given. Based on it, the relationships between Fourier coefficients and auto-correlation coefficients of one function,and cross-correlation coefficients of two functions and their auto-correlation coefficients are obtained. Also,the regular Bent functios are discussed. In particular,the duality of regular Bent functions is studied by using some known conculsions,and the relationship between the Fourier coefficients of derivate of two regular Bent functions and the Fourier coefficients of derivate of their dual functions is obtained.关键词
q-进制密码函数/互相关系数/自相关系数/Fourier系数/正则Bent函数/对偶函数Key words
q-ary cryptographic function/cross-correlation coefficient/auto-correlation coefficient/Fourier coefficient/regular Bent function/dual function分类
信息技术与安全科学引用本文复制引用
卓泽朋,崇金凤,余磊,魏仕民..q-进制密码函数的相关系数研究[J].计算机工程,2015,(5):130-132,3.基金项目
安徽高校省级自然科学研究基金资助项目(KJ2014A220,KJ2014A231) （KJ2014A220,KJ2014A231）
安徽省自然科学基金资助项目(1208085QF119)。 （1208085QF119）
