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EUROCRYPT
2010
Springer
14 years 7 days ago
Fully Homomorphic Encryption over the Integers
We describe a very simple “somewhat homomorphic” encryption scheme using only elementary modular arithmetic, and use Gentry’s techniques to convert it into a fully homomorph...
Marten van Dijk, Craig Gentry, Shai Halevi, Vinod ...
EUROCRYPT
2011
Springer
12 years 11 months ago
Implementing Gentry's Fully-Homomorphic Encryption Scheme
We describe a working implementation of a variant of Gentry’s fully homomorphic encryption scheme (STOC 2009), similar to the variant used in an earlier implementation effort b...
Craig Gentry, Shai Halevi
EUROCRYPT
2010
Springer
13 years 10 months ago
Constructing Verifiable Random Functions with Large Input Spaces
We present a family of verifiable random functions which are provably secure for exponentially-large input spaces under a non-interactive complexity assumption. Prior construction...
Susan Hohenberger, Brent Waters
EUROCRYPT
2010
Springer
14 years 7 days ago
Converting Pairing-Based Cryptosystems from Composite-Order Groups to Prime-Order Groups
We develop an abstract framework that encompasses the key properties of bilinear groups of composite order that are required to construct secure pairing-based cryptosystems, and we...
David Mandell Freeman
ASIACRYPT
2010
Springer
13 years 5 months ago
Faster Fully Homomorphic Encryption
Abstract. We describe two improvements to Gentry's fully homomorphic scheme based on ideal lattices and its analysis: we provide a more aggressive analysis of one of the hardn...
Damien Stehlé, Ron Steinfeld