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A Tightly Secure Identity-Based Signature Scheme from Isogenies

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Post-Quantum Cryptography (PQCrypto 2023)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 14154))

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Abstract

We present a tightly secure identity-based signature (IBS) scheme based on the supersingular isogeny problems. Although Shaw and Dutta proposed an isogeny-based IBS scheme with provable security, the security reduction is non-tight. For an IBS scheme with concrete security, the tightness of its security reduction affects the key size and signature size. Hence, it is reasonable to focus on a tight security proof for an isogeny-based IBS scheme.

In this paper, we propose an isogeny-based IBS scheme based on the lossy CSI-FiSh signature scheme and give a tight security reduction for this scheme. While the existing isogeny-based IBS has the square-root advantage loss in the security proof, the security proof for our IBS scheme avoids such advantage loss, due to the properties of lossy CSI-FiSh. Moreover, we show that the user key size and signature size of our scheme are better than those sizes of existing isogeny-based IBS schemes, under suitable parameter settings.

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Acknowledgements

This research was in part conducted under a contract of “Research and development on new generation cryptography for secure wireless communication services” among “Research and Development for Expansion of Radio Wave Resources (JPJ000254)”, which was supported by the Ministry of Internal Affairs and Communications, Japan. This work was in part supported by JSPS KAKENHI Grant Number JP22H03590. The authors would like to thank the anonymous reviewers for their helpful comments.

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Authors and Affiliations

  1. Graduate School of Environment and Information Sciences, Yokohama National University, Yokohama, Japan

    Jiawei Chen & Junji Shikata

  2. Institute of Advanced Sciences, Yokohama National University, Yokohama, Japan

    Hyungrok Jo, Shingo Sato & Junji Shikata

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  1. Jiawei Chen
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Correspondence to Jiawei Chen .

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  1. Lund University, Lund, Sweden

    Thomas Johansson

  2. National Institute of Standards and Technology, Gaithersburg, MD, USA

    Daniel Smith-Tone

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Chen, J., Jo, H., Sato, S., Shikata, J. (2023). A Tightly Secure Identity-Based Signature Scheme from Isogenies. In: Johansson, T., Smith-Tone, D. (eds) Post-Quantum Cryptography. PQCrypto 2023. Lecture Notes in Computer Science, vol 14154. Springer, Cham. https://doi.org/10.1007/978-3-031-40003-2_6

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  • DOI: https://doi.org/10.1007/978-3-031-40003-2_6

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