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EUROCRYPT
2010
Springer
13 years 10 months 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 9 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 9 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
13 years 10 months 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 3 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