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Efficient Leakage-Resilient Identity-Based Encryption with CCA Security

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Pairing-Based Cryptography – Pairing 2013 (Pairing 2013)

Part of the book series: Lecture Notes in Computer Science ((LNSC,volume 8365))

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Abstract

Due to the proliferation of side-channel attacks, lots of efforts have been made to construct cryptographic systems that are still secure even if part of the secret information is leaked to the adversary. Recently, many identity-based encryption (IBE) schemes have been proposed in this context, almost all of which, however, are only proved CPA secure. As far as we know, the IBE scheme presented by Alwen et al. is the unique CCA secure and the most practical one in the standard model. Unfortunately, this scheme suffers from an undesirable shortcoming that the leakage parameter λ and the message length m are subject to λ + m ≤ logp − ω(logκ), where κ is the security parameter and p is the prime order of the underlying group. To overcome this drawback, we designed a new IBE scheme based on Gentry’s IBE in this paper, which is λ-leakage resilient CCA2 secure in the standard model where λ ≤ logp − ω(logκ). In contrast, the leakage parameter λ in our proposal is independent of the size of the message space. Moreover, our scheme is quite practical and almost as efficient as the original scheme. To the best of our knowledge, it is the first practical leakage-resilient fully CCA2 secure IBE scheme in the standard model, tolerating up to (logp − ω(logκ))-bit leakage of the private key, the leakage parameter of which is independent of the message length.

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Authors and Affiliations

  1. Department of Computer Science and Engineering, Shanghai Jiao Tong University, Shanghai, 200240, China

    Shi-Feng Sun, Dawu Gu & Shengli Liu

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  1. Shi-Feng Sun
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  2. Dawu Gu
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  3. Shengli Liu
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Editors and Affiliations

  1. School of Electronic Information and Electrical Engineering, Shanghai Jiao Tong University, No. 800, Dongchuan Road, 200240, Shanghai, China

    Zhenfu Cao

  2. School of Information Science and Technology, Sun Yat-sen University, No. 135, Xingang Xi Road, 510275, Guangzhou, China

    Fangguo Zhang

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Sun, SF., Gu, D., Liu, S. (2014). Efficient Leakage-Resilient Identity-Based Encryption with CCA Security. In: Cao, Z., Zhang, F. (eds) Pairing-Based Cryptography – Pairing 2013. Pairing 2013. Lecture Notes in Computer Science, vol 8365. Springer, Cham. https://doi.org/10.1007/978-3-319-04873-4_9

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  • DOI: https://doi.org/10.1007/978-3-319-04873-4_9

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-04872-7

  • Online ISBN: 978-3-319-04873-4

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