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Tight Adaptively Secure Broadcast Encryption with Short Ciphertexts and Keys

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Security and Cryptography for Networks (SCN 2018)

Part of the book series: Lecture Notes in Computer Science ((LNSC,volume 11035))

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Abstract

We present a new public key broadcast encryption scheme where both the ciphertext and secret keys consist of a constant number of group elements. Our result improves upon the work of Boneh, Gentry and Waters (Crypto ’05) as well as several recent follow-ups (TCC ’16-A, Asiacrypt ’16) in two ways: (i) we achieve adaptive security instead of selective security, and (ii) our construction relies on the decisional k-Linear Assumption in prime-order groups (as opposed to q-type assumptions or subgroup decisional assumptions in composite-order groups); our improvements come at the cost of a larger public key. Finally, we show that our scheme achieves adaptive security in the multi-ciphertext setting with a security loss that is independent of the number of challenge ciphertexts.

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Acknowledgements

Romain Gay is partially supported by a Google Fellowship. Lucas Kowalczyk’s work has been done while visiting ENS, Paris. He is supported in part by the Defense Advanced Research Project Agency (DARPA) and Army Research Office (ARO) under Contract W911NF-15-C-0236; NSF grants CNS-1445424, CNS-1552932, and CCF-1423306; and an NSF Graduate Research Fellowship DGE-16-44869. Any opinions, findings, and conclusions or recommendations expressed are those of the authors and do not necessarily reflect the views of the Defense Advanced Research Projects Agency, Army Research Office, the National Science Foundation, or the U.S. Government. Hoeteck Wee is supported in part by ERC Project aSCEND (H2020 639554).

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Authors and Affiliations

  1. DIENS, Ecole normale superieure, CNRS, PSL University, 75005, Paris, France

    Romain Gay & Hoeteck Wee

  2. INRIA, Paris, France

    Romain Gay & Hoeteck Wee

  3. Columbia University, New York, USA

    Lucas Kowalczyk

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  1. Romain Gay
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Correspondence to Lucas Kowalczyk .

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  1. University of Catania, Catania, Italy

    Dario Catalano

  2. University of Salerno, Fisciano, Italy

    Roberto De Prisco

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Gay, R., Kowalczyk, L., Wee, H. (2018). Tight Adaptively Secure Broadcast Encryption with Short Ciphertexts and Keys. In: Catalano, D., De Prisco, R. (eds) Security and Cryptography for Networks. SCN 2018. Lecture Notes in Computer Science(), vol 11035. Springer, Cham. https://doi.org/10.1007/978-3-319-98113-0_7

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