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From Single-Input to Multi-client Inner-Product Functional Encryption

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Advances in Cryptology – ASIACRYPT 2019 (ASIACRYPT 2019)

Part of the book series: Lecture Notes in Computer Science ((LNSC,volume 11923))

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Abstract

We present a new generic construction of multi-client functional encryption (MCFE) for inner products from single-input functional inner-product encryption and standard pseudorandom functions. In spite of its simplicity, the new construction supports labels, achieves security in the standard model under adaptive corruptions, and can be instantiated from the plain DDH, LWE, and Paillier assumptions. Prior to our work, the only known constructions required discrete-log-based assumptions and the random-oracle model. Since our new scheme is not compatible with the compiler from Abdalla et al. (PKC 2019) that decentralizes the generation of the functional decryption keys, we also show how to modify the latter transformation to obtain a decentralized version of our scheme with similar features.

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Notes

  1. 1.

    All the functions inside the same set \(\mathcal {F}_\rho \) have the same domain and the same range.

  2. 2.

    We could define a stronger security notion without this restriction. However, in this paper, as in the prior works on MCFE, we add this restriction. In particular, we allow the secret key for the slot i to decrypt ciphertexts for the slot i. We leave achieving stronger security as an interesting open problem.

  3. 3.

    In this paper, our definitions do not allow for the encryption to be stateful.

References

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Acknowledgments

This work was supported in part by the European Union’s Horizon 2020 Research and Innovation Programme under grant agreement 780108 (FENTEC), by the ERC Project aSCEND (H2020 639554), by the French Programme d’Investissement d’Avenir under national project RISQ P141580, and by the French FUI project ANBLIC. The third author was partially supported by a Google PhD Fellowship in Privacy and Security. Part of this work was done while the second author was at IBM Research, Yorktown Heights, USA, and the third author was at École normale supérieure, Paris, France.

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Authors and Affiliations

  1. DIENS, École normale supérieure, CNRS, PSL University, Paris, France

    Michel Abdalla

  2. INRIA, Paris, France

    Michel Abdalla

  3. Algorand Foundation, New York, NY, USA

    Fabrice Benhamouda

  4. University of California, Berkeley, CA, USA

    Romain Gay

Authors
  1. Michel Abdalla
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  2. Fabrice Benhamouda
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  3. Romain Gay
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Corresponding author

Correspondence to Michel Abdalla .

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Editors and Affiliations

  1. University of Auckland, Auckland, New Zealand

    Steven D. Galbraith

  2. Security Fundamentals Lab, NICT, Tokyo, Japan

    Shiho Moriai

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Abdalla, M., Benhamouda, F., Gay, R. (2019). From Single-Input to Multi-client Inner-Product Functional Encryption. In: Galbraith, S., Moriai, S. (eds) Advances in Cryptology – ASIACRYPT 2019. ASIACRYPT 2019. Lecture Notes in Computer Science(), vol 11923. Springer, Cham. https://doi.org/10.1007/978-3-030-34618-8_19

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  • DOI: https://doi.org/10.1007/978-3-030-34618-8_19

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