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Efficient Completely Non-Malleable and RKA Secure Public Key Encryptions

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Information Security and Privacy (ACISP 2016)

Part of the book series: Lecture Notes in Computer Science ((LNSC,volume 9723))

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Abstract

Motivated by tampering attacks in practice, two different but related security notions, termed complete non-malleability and related-key attack security, have been proposed recently. In this work, we study their relations and present the first public key encryption scheme that is secure in both notions under standard assumptions. Moreover, by exploiting the technique for achieving complete non-malleability, we give a practical scheme for the related-key attack security. Precisely, the scheme is proven secure against polynomial functions of bounded degree d under a newly introduced hardness assumption called d-modified extended decisional bilinear Diffie-Hellman assumption. Since the schemes are constructed in a direct way instead of relying on the non-interactive zero knowledge proof or signature techniques, they not only achieve the strong security notions but also have better performances.

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Notes

  1. 1.

    Note that for any element \(pk'\) in public key space \(\mathbb {G}\) of our construction, there exists a corresponding private key \(sk'\in \mathbb {Z}_{p}\) satisfying \(pk'=g^{sk'}\), so all elements of \(\mathbb {G}\) are admissible public keys. Hence, the value \(H(g^{sk'}, C'_{1}, C'_{2})\) can be always computed using \(pk'\) even without knowing \(sk'\).

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Acknowledgements

The authors would like to thank all anonymous reviewers for their valuable comments. The work is supported by the Major State Basic Research Development Program (No. 2013CB338004), the Natural Science Foundation of China (No. 61472250) and the Scientific Research Foundation of Ministry of Education of China and China Mobile (No. MCM20150301).

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Authors and Affiliations

  1. Shanghai Jiao Tong University, Shanghai, 200240, China

    Shi-Feng Sun, Yu Yu & Dawu Gu

  2. The University of Melbourne, Parkville, VIC, 3010, Australia

    Shi-Feng Sun & Udaya Parampalli

  3. Huawei, Singapore

    Tsz Hon Yuen

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  1. Shi-Feng Sun
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Correspondence to Dawu Gu .

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  1. Monash University , Melbourne, Victoria, Australia

    Joseph K. Liu

  2. Monash University , Melbourne, Victoria, Australia

    Ron Steinfeld

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Sun, SF., Parampalli, U., Yuen, T.H., Yu, Y., Gu, D. (2016). Efficient Completely Non-Malleable and RKA Secure Public Key Encryptions. In: Liu, J., Steinfeld, R. (eds) Information Security and Privacy. ACISP 2016. Lecture Notes in Computer Science(), vol 9723. Springer, Cham. https://doi.org/10.1007/978-3-319-40367-0_9

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  • DOI: https://doi.org/10.1007/978-3-319-40367-0_9

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