On Correlation Properties of Boolean Functions  

作　　者：ZHUO Zepeng ZHANG Weiguo GAO Sheng XIAO Guozhen 

机构地区：[1]State Key Laboratory of Integrated Service Networks, Xidian University, Xi＇an 710071, China [2]School of Mathematical Science, Huaibei Normal University, Huaibei 235000, China [3]Science and Teehology on Communication Security Laboratory, Chengdu 610041, China

出　　处：《Chinese Journal of Electronics》2011年第1期143-146,共4页电子学报（英文版）

基　　金：This work is supported by the National Natural Science Foundation of China （No.61003299, No.60773003, No.60971020）, the Natural Science Basic Research Plan in Shaanxi Province of China （No.SJ08-ZT14）, the Foundation of Science and Technology on Communication Security Laboratory （No.9140C1103031002）, the Fundamental Research Funds for the Central Universities and the 111 Project （No.B08038）.

摘　　要：The relationship among cross-correlation of arbitrary four Boolean functions is presented. Several known cross-correlation properties of Boolean functions are generalized, and some properties of cross-correlation and auto-correlation are given. Then the relationship between cross-correlation function and the order of resiliency, and the relationship among the sum-of-squares indicator, algebraic degree and the order of resiliency are studied.

关 键 词：Boolean function Correlation function Propagation characteristics Global avalanche characteristics （GAC） Resiliency. 

分 类 号：O153.2[理学—数学] V214.5[理学—基础数学]