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A framework of noise-free symmetric fully homomorphic encryption (FHE) is proposed in this work. Di erent from the frameworks that are de ned over non-commutative groups, our framework is constructed ...
In previous work I proposed a fully homomorphic encryption without bootstrapping which has the weak point in the enciphering function. In this paper I propose the improved fully homomorphic encrypt...
We introduce a CUDA GPU library to accelerate evaluations with homomorphic schemes defined over polynomial rings enabled with a number of optimizations including algebraic techniques for efficient e...
We give a theoretical description of a new homomorphic encryption scheme DA-Encrypt that is based on (non-archimedean) Diophantine Approximation.
The purpose of this paper is to compare side-by-side the NTRU and BGV schemes in their non-scale invariant (messages in the lower bits), and their scale invariant (message in the upper bits) forms. ...
The rapid development of genome sequencing technology allows researchers to access large genome datasets. However, outsourcing the data processing to the cloud poses high risks for personal privacy....
Gentry抯 bootstrapping technique is the most famous method of obtaining fully homomorphic encryption. In previous work I proposed a fully homomorphic encryption without bootstrapping which has the we...
The efficiency of fully homomorphic encryption is a big question at present. To improve efficiency of fully homomorphic encryption, we use the technique of packed ciphertext to construct a multi-bit ...
In 2010, van Dijk, Gentry, Halevi, and Vaikuntanathan described the first fully homomorphic encryption over the integers, called DGHV. The scheme is based on a set of m public integers ci = pqi + ri...
Fully homomorphic encryption (FHE) has been dubbed the holy grail of cryptography, an elusive goal which could solve the IT world’s problems of security and trust. Research in the area exploded afte...
Homomorphic encryption has progressed rapidly in both effi- ciency and versatility since its emergence in 2009. Meanwhile, a multitude of pressing privacy needs ?ranging from cloud computing to heal...
We construct the first leakage resilient variants of fully homomorphic encryption (FHE) schemes. Our leakage model is bounded adaptive leakage resilience. We first construct a leakage- resilient level...
In view of the problems that the plaintext space is too small in the existing schemes. In this paper, a new improved scheme is presented by improving the DGHV scheme. The plaintext space of the improv...
A fully homomorphic encryption (FHE) scheme is envisioned as being a key cryptographic tool in building a secure and reliable cloud computing environment, as it allows arbitrarily evaluation of a ciph...
In a private database query system, a client issues queries to a database and obtains the results without learning anything else about the database and without the server learning the query. While pre...

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