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Linearity properties of binary FCSR sequences

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Abstract

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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Authors and Affiliations

  1. Department of Applied Mathematics, Zhengzhou Information Science and Technology Institute, Zhengzhou, People’s Republic of China

    Tian Tian & Wen-Feng Qi

  2. State Key Laboratory of Information Security, Institute of Software, Chinese Academy of Sciences, Beijing, People’s Republic of China

    Wen-Feng Qi

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  1. Tian Tian
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  2. Wen-Feng Qi
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Correspondence to Wen-Feng Qi.

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Communicated by C. Cid.

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Tian, T., Qi, WF. Linearity properties of binary FCSR sequences. Des. Codes Cryptogr. 52, 249–262 (2009). https://doi.org/10.1007/s10623-009-9280-4

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  • DOI: https://doi.org/10.1007/s10623-009-9280-4

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