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» The Complexity of the Extended GCD Problem
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ISSAC
2007
Springer
199views Mathematics» more  ISSAC 2007»
14 years 1 months ago
A sparse modular GCD algorithm for polynomials over algebraic function fields
We present a first sparse modular algorithm for computing a greatest common divisor of two polynomials f1, f2 ∈ L[x] where L is an algebraic function field in k ≥ 0 paramete...
Seyed Mohammad Mahdi Javadi, Michael B. Monagan
EUROCRYPT
2012
Springer
11 years 9 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...
LATIN
1998
Springer
13 years 11 months ago
The CREW PRAM Complexity of Modular Inversion
One of the long-standing open questions in the theory of parallel computation is the parallel complexity of the integer gcd and related problems, such as modular inversion. We pres...
Joachim von zur Gathen, Igor Shparlinski
TCS
2008
13 years 6 months ago
Approximate GCDs of polynomials and sparse SOS relaxations
The problem of computing approximate GCDs of several polynomials with real or complex coefficients can be formulated as computing the minimal perturbation such that the perturbed ...
Bin Li, Jiawang Nie, Lihong Zhi
ISSAC
2007
Springer
177views Mathematics» more  ISSAC 2007»
14 years 1 months ago
Component-level parallelization of triangular decompositions
We discuss the parallelization of algorithms for solving polynomial systems symbolically by way of triangular decompositions. We introduce a component-level parallelism for which ...
Marc Moreno Maza, Yuzhen Xie