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Traceable Inner Product Functional Encryption

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Topics in Cryptology – CT-RSA 2020 (CT-RSA 2020)

Part of the book series: Lecture Notes in Computer Science ((LNSC,volume 12006))

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Abstract

Functional Encryption (FE) has been widely studied in the last decade, as it provides a very useful tool for restricted access to sensitive data: from a ciphertext, it allows specific users to learn a function of the underlying plaintext. In practice, many users may be interested in the same function on the data, say the mean value of the inputs, for example. The conventional definition of FE associates each function to a secret decryption functional key and therefore all the users get the same secret key for the same function. This induces an important problem: if one of these users (called a traitor) leaks or sells the decryption functional key to be included in a pirate decryption tool, then there is no way to trace back its identity. Our objective is to solve this issue by introducing a new primitive, called Traceable Functional Encryption: the functional decryption key will not only be specific to a function, but to a user too, in such a way that if some users collude to produce a pirate decoder that successfully evaluates a function on the plaintext, from the ciphertext only, one can trace back at least one of them.

We propose a concrete solution for Inner Product Functional Encryption (IPFE). We first remark that the ElGamal-based IPFE from Abdalla et al. in PKC ’15 shares many similarities with the Boneh-Franklin traitor tracing from CRYPTO ’99. Then, we can combine these two schemes in a very efficient way, with the help of pairings, to obtain a Traceable IPFE with black-box confirmation.

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Acknowledgments

This work was supported in part by the European Community’s Seventh Framework Programme (FP7/2007-2013 Grant Agreement no. 339563 – CryptoCloud) and the ANR ALAMBIC (ANR16-CE39-0006).

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Authors and Affiliations

  1. Department of Mathematics, Vietnam National University, Hanoi, Vietnam

    Xuan Thanh Do

  2. XLIM, University of Limoges, CNRS, Limoges, France

    Xuan Thanh Do & Duong Hieu Phan

  3. DIENS, École Normale Supérieure, CNRS, PSL University, Paris, France

    David Pointcheval

  4. Inria, Paris, France

    David Pointcheval

Authors
  1. Xuan Thanh Do
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  2. Duong Hieu Phan
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  3. David Pointcheval
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Correspondence to Xuan Thanh Do .

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Editors and Affiliations

  1. University of California, Irvine, CA, USA

    Stanislaw Jarecki

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Do, X.T., Phan, D.H., Pointcheval, D. (2020). Traceable Inner Product Functional Encryption. In: Jarecki, S. (eds) Topics in Cryptology – CT-RSA 2020. CT-RSA 2020. Lecture Notes in Computer Science(), vol 12006. Springer, Cham. https://doi.org/10.1007/978-3-030-40186-3_24

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  • DOI: https://doi.org/10.1007/978-3-030-40186-3_24

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