摘要
给出了多输出函数自相关函数的定义,并得到了多输出函数的自相关函数特征和Walsh谱特征的关系式;证明了多输出函数的Walsh谱的两种变换的关系式、Plancheral公式、能量守恒公式、卷积公式;得到了谱的平稳性.有助于进一步研究多输出函数的密码学性质.
The definition of the auto-correlation function characteristics of multi-output functions is presented.Then,the relationship between the Walsh spectral characteristics and the auto-correlation function characteristics is described.The properties of the Walsh spectral characteristics of multi-output functions such as the relationship between cyclic and linear spectral characteristics,the formulas of Plancheral,Parseval and convolution,and the stability of the spectrum are also obtained.The result is benefical to the further study of multi-output functions' cryptography properties.
出处
《广西师范大学学报（自然科学版）》
CAS
北大核心
2005年第1期68-71,共4页
Journal of Guangxi Normal University:Natural Science Edition
基金
信息安全国家重点实验室开放基金资助项目(01-03)
信息工程学院博士启动基金资助项目(YP20014401)
河南省高校人才创新工程资助项目(2003KJCX008)
关键词
多输出函数
自相关函数特征
Walsh谱特征
稳定性
multi-output functions
auto-correlation function characteristics
Walsh spectral characteristics
stability
