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ISSAC
1995
Springer
108views Mathematics» more  ISSAC 1995»
13 years 8 months ago
A Solution to the Extended GCD Problem
An improved method for expressing the greatest common divisor of n numbers as an integer linear combination of the numbers is presented and analyzed, both theoretically and practi...
Bohdan S. Majewski, George Havas
ISSAC
2005
Springer
115views Mathematics» more  ISSAC 2005»
13 years 10 months ago
Half-GCD and fast rational recovery
Over the past few decades several variations on a “half GCD” algorithm for obtaining the pair of terms in the middle of a Euclidean sequence have been proposed. In the integer...
Daniel Lichtblau
ANTS
2004
Springer
149views Algorithms» more  ANTS 2004»
13 years 10 months ago
A Binary Recursive Gcd Algorithm
The binary algorithm is a variant of the Euclidean algorithm that performs well in practice. We present a quasi-linear time recursive algorithm that computes the greatest common di...
Damien Stehlé, Paul Zimmermann
EUROCRYPT
2012
Springer
11 years 7 months ago
Public Key Compression and Modulus Switching for Fully Homomorphic Encryption over the Integers
We describe a compression technique that reduces the public key size of van Dijk, Gentry, Halevi and Vaikuntanathan’s (DGHV) fully homomorphic scheme over the integers from ˜O(...
Jean-Sébastien Coron, David Naccache, Mehdi...