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Practical construction of ring LFSRs and ring FCSRs with low diffusion delay for hardware cryptographic applications

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Abstract

Linear Feedback Shift Registers (LFSRs) and Feedback with Carry Shift Registers (FCSRs) are two pseudo-random generators which are widely used in many cryptographic applications. The Ring representation of them has been proposed using a matrix approach. In this paper, we show how to construct Ring LFSRs and Ring FCSRs with low diffusion delay (close to the expected value \(\sqrt {n}\)) when considering other hardware cryptographic criteria.

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Authors and Affiliations

  1. State Key Laboratory of Information Security, Institute of Information Engineering, Chinese Academy of Sciences, Beijing, 100195, China

    Zhiqiang Lin & Dongdai Lin

  2. College of Mathematics and Information Science, Guangzhou University, Guangzhou, 510006, China

    Dingyi Pei

Authors
  1. Zhiqiang Lin
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  2. Dongdai Lin
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  3. Dingyi Pei
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Corresponding author

Correspondence to Zhiqiang Lin.

Additional information

This work is supported by a National Key Basic Research Project of China (2011CB302400), National Natural Science Foundations of China (11371106), National Science Foundation of China (61379139) and the “Strategic Priority Research Program” of the Chinese Academy of Sciences (XDA06010701).

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Lin, Z., Lin, D. & Pei, D. Practical construction of ring LFSRs and ring FCSRs with low diffusion delay for hardware cryptographic applications. Cryptogr. Commun. 9, 431–443 (2017). https://doi.org/10.1007/s12095-016-0183-8

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  • DOI: https://doi.org/10.1007/s12095-016-0183-8

Keywords

Mathematics Subject Classification (2010)