Linearity properties of binary FCSR sequences

被引:0
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作者
Tian Tian
Wen-Feng Qi
机构
[1] Zhengzhou Information Science and Technology Institute,Department of Applied Mathematics
[2] Chinese Academy of Sciences,State Key Laboratory of Information Security, Institute of Software
来源
关键词
Feedback with carry shift registers; -Sequences; Linear relations; 11B50; 94A55; 94A60;
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摘要
Maximal length FCSR sequences, or l-sequences, are an important type of nonlinear sequences used for building stream ciphers. This paper studies the linearity properties of l-sequences. Although it is widely accepted that l-sequences have high linear complexities close to their half periods, it is shown that for most of the l-sequences, linear relations with large statistical advantage exist.
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页码:249 / 262
页数:13
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