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A new perturbation algorithm and enhancing security of SFLASH signature scheme

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Abstract

This paper introduces the concept of noise factor and noise operation, and constructs a noise group. We present a new perturbation algorithm for enhancing security of multivariate public key cryptosystems (MPKCs). European Consortium SFLASH which derives from Matsumoto-Imai scheme is a fast signature scheme intended for low cost smart cards. It was broken with the differential cryptanalysis by Dubois et al. in 2007. Taking Matsumoto-Imai system as an example, security analysis shows that the new algorithm can powerfully demolish its potential mathematical properties of the public key, and effectively avoid differential cryptanalysis without lowering the efficiency of the original algorithm.

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Authors and Affiliations

  1. The Key Laboratory of Aerospace Information Security and Trusted Computing, Ministry of Education, Wuhan University, Wuhan, 430072, China

    HouZhen Wang, HuanGuo Zhang & HaiQing Han

  2. School of Computer, Wuhan University, Wuhan, 430079, China

    HouZhen Wang, HuanGuo Zhang & HaiQing Han

  3. Chinese Electronic Equipment System Corporation, Beijing, 100039, China

    HaiMing Guan

Authors
  1. HouZhen Wang
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  2. HuanGuo Zhang
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  3. HaiMing Guan
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  4. HaiQing Han
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Correspondence to HuanGuo Zhang.

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Wang, H., Zhang, H., Guan, H. et al. A new perturbation algorithm and enhancing security of SFLASH signature scheme. Sci. China Inf. Sci. 53, 760–768 (2010). https://doi.org/10.1007/s11432-010-0025-9

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  • DOI: https://doi.org/10.1007/s11432-010-0025-9

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