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» Algorithms for Exponentiation in Finite Fields
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SIAMSC
2008
99views more  SIAMSC 2008»
13 years 7 months ago
Mixed Multiscale Finite Element Methods for Stochastic Porous Media Flows
In this paper, we propose a stochastic mixed multiscale finite element method. The proposed method solves the stochastic porous media flow equation on the coarse grid using a set ...
J. E. Aarnes, Yalchin Efendiev
COCO
2008
Springer
100views Algorithms» more  COCO 2008»
13 years 9 months ago
Detecting Rational Points on Hypersurfaces over Finite Fields
We study the complexity of deciding whether a given homogeneous multivariate polynomial has a nontrivial root over a finite field. Given a homogeneous algebraic circuit C that com...
Swastik Kopparty, Sergey Yekhanin
CAP
2010
13 years 2 months ago
Parallel sparse polynomial interpolation over finite fields
We present a probabilistic algorithm to interpolate a sparse multivariate polynomial over a finite field, represented with a black box. Our algorithm modifies the algorithm of Ben...
Seyed Mohammad Mahdi Javadi, Michael B. Monagan
FDTC
2006
Springer
120views Cryptology» more  FDTC 2006»
13 years 11 months ago
Blinded Fault Resistant Exponentiation
As the core operation of many public key cryptosystems, group exponentiation is central to cryptography. Attacks on its implementation in embedded device setting is hence of great ...
Guillaume Fumaroli, David Vigilant
ANTS
2006
Springer
118views Algorithms» more  ANTS 2006»
13 years 9 months ago
Construction of Rational Points on Elliptic Curves over Finite Fields
Abstract. We give a deterministic polynomial-time algorithm that computes a nontrivial rational point on an elliptic curve over a finite field, given a Weierstrass equation for the...
Andrew Shallue, Christiaan van de Woestijne