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» GCD of Many Integers
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COCOON
1999
Springer
13 years 8 months ago
GCD of Many Integers
Gene Cooperman, Sandra Feisel, Joachim von zur Gat...
AICCSA
2001
IEEE
177views Hardware» more  AICCSA 2001»
13 years 8 months ago
On a Parallel Extended Euclidean Algorithm
A new parallelization of Euclid's greatest common divisor algorithm is proposed. It matches the best existing integer GCD algorithms since it can be achieved in parallel O(n/...
Sidi Mohamed Sedjelmaci
ANTS
2004
Springer
139views Algorithms» more  ANTS 2004»
13 years 10 months ago
Binary GCD Like Algorithms for Some Complex Quadratic Rings
On the lines of the binary gcd algorithm for rational integers, algorithms for computing the gcd are presented for the ring of integers in Q( √ d) where d ∈ {−2, −7, −11,...
Saurabh Agarwal, Gudmund Skovbjerg Frandsen
JDA
2008
62views more  JDA 2008»
13 years 4 months ago
A parallel extended GCD algorithm
A new parallel extended GCD algorithm is proposed. It matches the best existing parallel integer GCD algorithms of Sorenson and Chor and Goldreich, since it can be achieved in O (...
Sidi Mohamed Sedjelmaci
EUROCRYPT
2010
Springer
13 years 9 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 ...