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Transciphering, Using FiLIP and TFHE for an Efficient Delegation of Computation

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Book cover Progress in Cryptology – INDOCRYPT 2020 (INDOCRYPT 2020)

Part of the book series: Lecture Notes in Computer Science ((LNSC,volume 12578))

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Abstract

Improved filter permutators are designed to build stream ciphers that can be efficiently evaluated homomorphically. So far the transciphering with such ciphers has been implemented with homomorphic schemes from the second generation. In theory the third generation is more adapted for the particular design of these ciphers. In this article we study how suitable it is in practice. We implement the transciphering of different instances of the stream cipher family FiLIP with homomorphic encryption schemes of the third generation using the TFHE library.

We focus on two kinds of filter for FiLIP. First we consider the direct sum of monomials, already evaluated using HElib and we show the improvements on these results. Then we focus on the XOR-threshold filter, we develop strategies to efficiently evaluate any symmetric Boolean function in an homomorphic way, allowing us to give the first timings for such filters. We investigate different approaches for the homomorphic evaluation: using the leveled homomorphic scheme TGSW, an hybrid approach combining TGSW and TLWE schemes, and the gate boostrapping approach. We discuss the costs in time and memory and the impact on delegation of computation of these different approaches, and we perform a comparison with others transciphering schemes.

C. Hoffmann—This work has been done during an internship at Thales.

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Notes

  1. 1.

    The situation is different for FHE schemes that apply a bootstraping at each gate.

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Acknowledgements

This work has been funded in part by the European Union PROMETHEUS project (Horizon 2020 Research and Innovation Program, grant 780701), and by the French RISQ project (BPI-France, grant P141580). This work has been funded in part by the European Union (EU) and the Walloon Region through the FEDER project USERMedia (convention number 501907-379156). This work has been funded in part by the European Union (EU) through the ERC project 724725 (acronym SWORD). Pierrick Méaux is funded by a F.R.S. Incoming Post-Doc Fellowship.

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Authors and Affiliations

  1. ICTEAM/ELEN/Crypto Group, Université catholique de Louvain, Louvain la neuve, Belgium

    Clément Hoffmann & Pierrick Méaux

  2. Thales, Gennevilliers, France

    Thomas Ricosset

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  1. Clément Hoffmann
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  2. Pierrick Méaux
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Correspondence to Clément Hoffmann , Pierrick Méaux or Thomas Ricosset .

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  1. Inria Paris, Paris, France

    Karthikeyan Bhargavan

  2. University of Klagenfurt, Klagenfurt, Austria

    Elisabeth Oswald

  3. Department of Computer Science and Engineering, Indian Institute of Technology Bombay, Mumbai, Maharashtra, India

    Manoj Prabhakaran

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Hoffmann, C., Méaux, P., Ricosset, T. (2020). Transciphering, Using FiLIP and TFHE for an Efficient Delegation of Computation. In: Bhargavan, K., Oswald, E., Prabhakaran, M. (eds) Progress in Cryptology – INDOCRYPT 2020. INDOCRYPT 2020. Lecture Notes in Computer Science(), vol 12578. Springer, Cham. https://doi.org/10.1007/978-3-030-65277-7_3

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  • DOI: https://doi.org/10.1007/978-3-030-65277-7_3

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