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A Secure Variant of Yasuda, Takagi and Sakurai’s Signature Scheme

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Information Security and Cryptology (Inscrypt 2015)

Part of the book series: Lecture Notes in Computer Science ((LNSC,volume 9589))

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Abstract

Yasuda, Takagi and Sakurai proposed a new signature scheme in PQCrypto 2013 using quadratic forms over finited fields of odd characteristic. Later on two independent attacks were proposed by Hashimoto in PQCrypto 2014 and by Zhang and Tan in ICISC 2014 to break their scheme. The purpose of this paper is to fix the security problem of Yasuda, Takagi and Sakurai’s scheme. We achieve this purpose by mixing their scheme with a special type HFEv polynomials to produce a new scheme, YTS-HFEv. We analyze its security and propose a practical parameter set with public key size about 57 KB and security level \(2^{80}\).

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Acknowledgments

The authors would like to thank the anonymous reviewers for their helpful comments on improving this paper. The first author would like to thank the financial support from the National Natural Science Foundation of China (Grant No. 61572189).

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Authors and Affiliations

  1. Temasek Laboratories, National University of Singapore, Singapore, Singapore

    Wenbin Zhang & Chik How Tan

Authors
  1. Wenbin Zhang
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  2. Chik How Tan
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Correspondence to Wenbin Zhang .

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Editors and Affiliations

  1. Chinese Academy of Sciences, SKLOIS Institute of Engineering, Beijing, China

    Dongdai Lin

  2. Center for Security Informatics, Indiana University at Bloomington, Indiana, USA

    XiaoFeng Wang

  3. Computer Science, Columbia University, New York, New York, USA

    Moti Yung

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Zhang, W., Tan, C.H. (2016). A Secure Variant of Yasuda, Takagi and Sakurai’s Signature Scheme. In: Lin, D., Wang, X., Yung, M. (eds) Information Security and Cryptology. Inscrypt 2015. Lecture Notes in Computer Science(), vol 9589. Springer, Cham. https://doi.org/10.1007/978-3-319-38898-4_5

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  • DOI: https://doi.org/10.1007/978-3-319-38898-4_5

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-38897-7

  • Online ISBN: 978-3-319-38898-4

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