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Homomorphic encryption (HE) is often viewed as impractical, both in communication and computation. Here we provide an additively homomorphic encryption scheme based on (ring) LWE with nearly optimal r...
Homomorphic secret sharing (HSS) is an analog of somewhat- or fully homomorphic encryption (S/FHE) to the setting of secret sharing, with applications including succinct secure computation, private ma...
In applications of fully-homomorphic encryption (FHE) that involve computation on encryptions produced by several users, it is important that each user proves that her input is indeed well-formed. Thi...
We construct non-interactive zero-knowledge (NIZK) arguments for NPNP from any circular-secure fully homomorphic encryption (FHE) scheme. In particular, we obtain such NIZKs under a circular-secure va...
Multikey fully homomorphic encryption (MFHE) allows homomorphic operations between ciphertexts encrypted under different keys. In applications for secure multiparty computation (MPC)protocols, MFHE ca...
The FHE (fully homomorphic encryption) schemes [7, 13] based on the modified AGCD problem (noise-free AGCD problem) are vulnerable to quantum attacks, because its security relies partly on the hardnes...
In this work, we propose a faster homomorphic linear transform algorithm for structured matrices such as the discrete Fourier transform (DFT) and linear transformations in bootstrapping.
Multi-Key Full Homomorphic Encryption scheme (MKFHE) can perform arbitrary operation on encrypted data under different public keys (users), and the final ciphertext can be jointly decrypted. Therefore...
Can Bob give Alice his decryption secret and be convinced that she will not give it to someone else? This is achieved by a proxy re-encryption scheme where Alice does not have Bob’s secret but instead...
Fully homomorphic encryption schemes (FHE) allow to apply arbitrary efficient computation to encrypted data without decrypting it first. In Quantum FHE (QFHE) we may want to apply an arbitrary quantum...
We describe our recent experience, building a system that uses fully-homomorphic encryption (FHE) to approximate the coefficients of a logistic-regression model, built from genomic data. The aim of th...
Bootstrapping is a crucial operation in Gentry's breakthrough work on fully homomorphic encryption (FHE), where a homomorphic encryption scheme evaluates its own decryption algorithm. There has been a...
Zero-knowledge proofs of knowledge and fully-homomorphic encryption are two areas that have seen considerable advances in recent years, and these two techniques are used in conjunction in the context ...
The main bottleneck of all known Fully Homomorphic Encryption schemes lies in the bootstrapping procedure invented by Gentry (STOC'09). The cost of this procedure can be mitigated either using Homomor...

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