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The purpose of this paper is to provide a comprehensive analysis and side-by-side comparison of the noise growth behaviour in the BGV and FV somewhat homomorphic encryption schemes, both heuristically...
State-of-the-art implementations of homomorphic encryption exploit the Fan and Vercauteren (FV) scheme and the Residue Number System (RNS). While the RNS breaks down large integer arithmetic into smal...
This work describes a common framework for scale-invariant families of fully homomorphic schemes based on Ring-LWE, unifying the plaintext space and the noise representation. This new formalization al...
The development of cloud computing services is restrained by privacy concerns. Centralized medical services for instance, require a guarantee of confidentiality when using outsourced computation platf...
Since Gentry's breakthrough work in 2009, homomorphic cryptography has received a widespread attention. Implementation of a fully homomorphic cryptographic scheme is however still highly expensive. So...
We conduct a theoretical and practical comparison of two Ring-LWE-based, scale-invariant, leveled homomorphic encryption schemes – Fan and Vercauteren’s adaptation of BGV and the YASHE scheme propos...

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