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Title:
Plug-and-play sanitization for TFHE
Authors: Florian Bourse, Malika Izabachène
Abstract:Fully Homomorphic encryption allows to evaluate any circuits over encrypted data while preserving the privacy of the data.
Another desirable property of FHE called circuit privacy enables to preserve the privacy of the evaluation circuit, i.e. all the information on the bootstrapped ciphertext, including the computation that was performed to obtain it, is destroyed.
In this paper, we show how to directly build a circuit private FHE scheme from TFHE bootstrapping (Asiacrypt 2016). Our proof frame is inspired from the techniques used in Bourse etal (Crypto 2016), we provide a statistical analysis of the error growth during the bootstrapping procedure where we adapt discrete Gaussian lemmata over rings. We make use of a randomized decomposition for the homomorphic external product and introduce a public key encryption scheme with invariance properties on the ciphertexts distribution. As a proof of concept, we provide a C implementation of our sanitization strategy.
ePrint: https://eprint.iacr.org/2022/1438
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