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» Constructive homomorphisms for classical groups
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STOC
2005
ACM
113views Algorithms» more  STOC 2005»
14 years 6 months ago
Efficient testing of groups
We construct an efficient probabilistic algorithm that, given a finite set with a binary operation, tests if it is an abelian group. The distance used is an analogue of the edit d...
Katalin Friedl, Gábor Ivanyos, Miklos Santh...
EUROCRYPT
2012
Springer
11 years 8 months ago
Fully Homomorphic Encryption with Polylog Overhead
We show that homomorphic evaluation of (wide enough) arithmetic circuits can be accomplished with only polylogarithmic overhead. Namely, we present a construction of fully homomorp...
Craig Gentry, Shai Halevi, Nigel P. Smart
ISW
2007
Springer
14 years 9 days ago
Towards a DL-Based Additively Homomorphic Encryption Scheme
ElGamal scheme has been the first encryption scheme based on discrete logarithm. One of its main advantage is that it is simple, natural and efficient, but also that its security ...
Guilhem Castagnos, Benoît Chevallier-Mames
ANTS
2010
Springer
246views Algorithms» more  ANTS 2010»
13 years 10 months ago
Visualizing Elements of Sha[3] in Genus 2 Jacobians
Abstract. Mazur proved that any element ξ of order three in the Shafarevich-Tate group of an elliptic curve E over a number field k can be made visible in an abelian surface A in...
Nils Bruin, Sander R. Dahmen
STACS
2010
Springer
14 years 1 months ago
An Efficient Quantum Algorithm for Some Instances of the Group Isomorphism Problem
In this paper we consider the problem of testing whether two finite groups are isomorphic. Whereas the case where both groups are abelian is well understood and can be solved effi...
François Le Gall