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Title:
Guide to Fully Homomorphic Encryption over the [Discretized] Torus
Authors: Marc Joye
Abstract:First posed as a challenge in 1978 by Rivest et al., fully homomorphic encryption—the ability to evaluate any function over encrypted data— was only solved in 2009 in a breakthrough result by Gentry. After a decade of intense research, practical solutions have emerged and are being pushed for standardization. This guide is intended to practitioners. It explains the inner-workings of TFHE, a torus-based fully homomorphic encryption scheme. More exactly, it describes its implementation on a discretized version of the torus. It also explains in detail the technique of the programmable bootstrapping.
ePrint: https://eprint.iacr.org/2021/1402
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