Walsh Spectral Characteristics and the Auto-Correlation Function Characteristics of Forming Orthomorphic Permutations of Multi-Output Functions

作     者：ZHAO Yaqun WANG Jue 

作者机构：Institute of Information Engineering Information Engineering University Zhengzhou 450002 Henan China State Key Laboratory of Information Security Chinese Academy of Sciences Beijing 100039 China 

出 版 物：《Wuhan University Journal of Natural Sciences》 (武汉大学学报（自然科学英文版）)

年 卷 期：2006年第11卷第6期

页      面：1895-1898页

学科分类：07[理学] 08[工学] 070104[理学-应用数学] 081101[工学-控制理论与控制工程] 0701[理学-数学] 0811[工学-控制科学与工程] 

基　　金：Supported by State Key Laboratory of InformationSecurity Opening Foundation(01-02) 

主　　题：orthomorphic permutation multi-output functions walsh spectral auto-correlation function 

摘      要：Orthomorphic permutations have good characteristics in cryptosystems. In this paper, by using of knowledge about relation between orthomorphic permutations and multi-output functions, and conceptions of the generalized Walsh spectrum of multi-output functions and the auto-correlation function of multi-output functions to investigate the Walsh spectral characteristics and the auto-correlation function characteristics of orthormophic permutations, several results are obtained.