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In this paper we present a key recovery attack to the scale-invariant NTRU-based somewhat homomorphic encryption scheme proposed by Bos et al~\cite{NTRUbasedFHE} in 2013. The attack allows us to compu...
Cryptographic primitives based on infinite families of progressively weaker assumptions have been proposed by Hofheinz–Kiltz and by Shacham (the n-Linear assumptions) and by Escala et al. (the Matri...
Fully Homomorphic Encryption schemes (FHEs) and Functional Encryption schemes (FunctEs) have a tremendous impact in Cryptography both for the natural questions that they address and for the wide ran...
Private Information Retrieval (PIR) protects users' privacy in outsourced storage applications and can be achieved using additively homomorphic encryption schemes. Several PIR schemes with a “real wor...
We design a linearly homomorphic encryption scheme whose security relies on the hardness of the decisional Diffie-Hellman problem. Our approach requires some special features of the underlying group...
Fully homomorphic is an encryption scheme that allows for data to be stored and processed in an encrypted format, which gives the cloud provider a solution to host and process data without even know...
A key recovery attack allows an attacker to recover the private key of an underlying encryption scheme when given a number of decryption oracle accesses. Previous research has shown that most existi...
In this paper we present adaptive key recovery attacks on NTRU-based somewhat homomorphic encryption schemes. Among such schemes, we study the proposal by Bos et al [BLLN13] in 2013. Given access to...
Fully homomorphic encryption (FHE) is a form of public-key encryption that enables arbitrary computation over encrypted data. The past few years have seen several realizations of FHE under different...
In this work, we present a generic open-source software framework that can evaluate the correctness and performance of homomorphic encryption software. Our framework, called HEtest, automates the en...
Fully homomorphic encryption (FHE) has important applications in cloud computing. However, almost all fully homomorphic encryption schemes share two common flaws that they all use large-scale secret ...
We present a new fully homomorphic encryption (FHE) scheme that is efficient for practical applications. The main feature of our scheme is that noise reduction considered essential in current FHE sc...
Gentry抯 bootstrapping technique is the most famous method of obtaining fully homomorphic encryption. In this paper I propose a new fully homomorphic encryption scheme on non-associative octonion ring ...
Recently, IACR ePrint archive posted two fully homomorphic encryption schemes without bootstrapping. In this note, we show that these schemes are trivially insecure. Furthermore, we also show that t...
Fully homomorphic encryption is an encryption method with the property that any computation on the plaintext can be performed by a party having access to the ciphertext only. Here, we formally defin...

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