Sciweavers

223 search results - page 7 / 45
» Multivariates Polynomials for Hashing
Sort
View
SODA
2003
ACM
143views Algorithms» more  SODA 2003»
13 years 8 months ago
Deterministic identity testing for multivariate polynomials
In this paper we present a simple deterministic algorithm for testing whether a multivariate polynomial f(x1, . . . , xn) is identically zero, in time polynomial in m, n, log(d + ...
Richard J. Lipton, Nisheeth K. Vishnoi
EUROCRYPT
2000
Springer
13 years 10 months ago
Efficient Algorithms for Solving Overdefined Systems of Multivariate Polynomial Equations
The security of many recently proposed cryptosystems is based on the difficulty of solving large systems of quadratic multivariate polynomial equations. This problem is NP-hard ove...
Nicolas Courtois, Alexander Klimov, Jacques Patari...
ISSAC
2009
Springer
167views Mathematics» more  ISSAC 2009»
14 years 1 months ago
High order derivatives and decomposition of multivariate polynomials
In this paper, we present an improved method for decomposing multivariate polynomials. This problem, also known as the Functional Decomposition Problem (FDP) [17, 9, 27], is class...
Jean-Charles Faugère, Ludovic Perret
STOC
1993
ACM
121views Algorithms» more  STOC 1993»
13 years 11 months ago
On the generation of multivariate polynomials which are hard to factor
In this paper we consider the di culty of factoring multivariate polynomials F(x y z :::) modulo n. We consider in particular the case in which F is a product of two randomly chose...
Adi Shamir
ESA
2008
Springer
129views Algorithms» more  ESA 2008»
13 years 8 months ago
More Robust Hashing: Cuckoo Hashing with a Stash
Cuckoo hashing holds great potential as a high-performance hashing scheme for real applications. Up to this point, the greatest drawback of cuckoo hashing appears to be that there...
Adam Kirsch, Michael Mitzenmacher, Udi Wieder