Machine learning and statistical techniques are powerful tools for analyzing large amounts
of medical and genomic data. On the other hand, ethical concerns and privacy regulations …

This work describes a fast fully homomorphic encryption scheme over the torus (TFHE) that
revisits, generalizes and improves the fully homomorphic encryption (FHE) based on GSW …

RSA public key cryptosystem is the de-facto standard use in worldwide technologies as a
strong encryption/decryption and digital signature scheme. RSA successfully defended forty …

We construct a simple fully homomorphic encryption scheme, using only elementary
modular arithmetic. We use Gentry's technique to construct a fully homomorphic scheme …

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 …

An Introduction to Cryptography | SpringerLink Skip to main content Advertisement SpringerLink
Account Menu Find a journal Publish with us Track your research Search Cart Book cover An …

We extend the fully homomorphic encryption scheme over the integers of van Dijk et
al.(DGHV) into a batch fully homomorphic encryption scheme, ie to a scheme that supports …

In Chapter 1, we have seen how the algebra of the polynomial rings k [x1,..., xn] and the
geometry of affine algebraic varieties are linked. In this chapter, we will study the method of …

We describe a polynomial-time cryptanalysis of the (approximate) multilinear map of Coron,
Lepoint and Tibouchi (CLT). The attack relies on an adaptation of the so-called zeroizing …

Cloud computing has emerging as a promising pattern for data outsourcing and high-quality
data services. However, concerns of sensitive information on cloud potentially causes …