A Class of Rotation Symmetric Boolean Functions with Optimum Algebraic Immunity  

作　　者：LI Chunlei ZENG Xiangyong SU Wei HU Lei 

机构地区：[1]Faculty of Mathematics and Computer Science, Hubei University, Wuhan 430062, Hubei, China [2]State Key Laboratory of Information Security/Graduate University of Chinese Academy of Sciences, Beijing 100049, China

出　　处：《Wuhan University Journal of Natural Sciences》2008年第6期702-706,共5页武汉大学学报（自然科学英文版）

基　　金：Supported by the National Natural Science Foundation of China ( 60603012);the Foundation of Hubei Provincial Department of Education, China (D200610004)

摘　　要：For an odd integer n ≥ 7, this paper presented a class of n-variable rotation symmetric Boolean functions （RSBFs） with optimum algebraic immunity. The nonlinearity of the constructed functions is determined.For an odd integer n ≥ 7, this paper presented a class of n-variable rotation symmetric Boolean functions （RSBFs） with optimum algebraic immunity. The nonlinearity of the constructed functions is determined.

关 键 词：rotation symmetric Boolean functions（RSBFs） algebraic immunity NONLINEARITY BALANCEDNESS Krawtchouk polynomial 

分 类 号：O15[理学—数学]