On k-Error Linear Complexity of Some Explicit Nonlinear Pseudorandom Sequences  

On k-Error Linear Complexity of Some Explicit Nonlinear Pseudorandom Sequences

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作  者:CHEN Zhixiong WU Chenhuang 

机构地区:[1]Key Laboratory of Applied Mathematics, Putian University,Putian 351100, Fujian, China [2]Key Laboratory of Network Security and Cryptology, FujianNormal University, Fuzhou 350007, Fujian, China

出  处:《Wuhan University Journal of Natural Sciences》2008年第5期577-581,共5页武汉大学学报(自然科学英文版)

基  金:the Natural Science Foundation of Fujian Province (2007F3086);the Funds of the Education Department of Fujian Prov-ince (JA07164);the Open Funds of Key Laboratory of Fujian Province University Network Security and Cryptology (07B005)

摘  要:Combining with the research on the linear complexity of explicit nonlinear generators of pseudorandom sequences, we study the stability on linear complexity of two classes of explicit inversive generators and two classes of explicit nonlinear generators. We present some lower bounds in theory on the k-error linear complexity of these explicit generatol's, which further improve the cryptographic properties of the corresponding number generators and provide very useful information when they are applied to cryptography.Combining with the research on the linear complexity of explicit nonlinear generators of pseudorandom sequences, we study the stability on linear complexity of two classes of explicit inversive generators and two classes of explicit nonlinear generators. We present some lower bounds in theory on the k-error linear complexity of these explicit generatol's, which further improve the cryptographic properties of the corresponding number generators and provide very useful information when they are applied to cryptography.

关 键 词:stream ciphers k-error linear complexity explicitinversive generators explicit nonlinear generators 

分 类 号:TN918[电子电信—通信与信息系统]

 

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