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» Multivariates Polynomials for Hashing
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PDCAT
2009
Springer
15 years 10 months ago
Balanced Dense Polynomial Multiplication on Multi-Cores
Abstract— In symbolic computation, polynomial multiplication is a fundamental operation akin to matrix multiplication in numerical computation. We present efficient implementati...
Marc Moreno Maza, Yuzhen Xie
ISSAC
1995
Springer
119views Mathematics» more  ISSAC 1995»
15 years 7 months ago
The Singular Value Decomposition for Polynomial Systems
This paper introduces singular value decomposition (SVD) algorithms for some standard polynomial computations, in the case where the coefficients are inexact or imperfectly known....
Robert M. Corless, Patrizia M. Gianni, Barry M. Tr...
JSC
2010
90views more  JSC 2010»
15 years 1 months ago
Modular Las Vegas algorithms for polynomial absolute factorization
Let f(X, Y ) ∈ Z[X, Y ] be an irreducible polynomial over Q. We give a Las Vegas absolute irreducibility test based on a property of the Newton polytope of f, or more precisely,...
Cristina Bertone, Guillaume Chèze, Andr&eac...
APPROX
2009
Springer
156views Algorithms» more  APPROX 2009»
15 years 10 months ago
An Analysis of Random-Walk Cuckoo Hashing
In this paper, we provide a polylogarithmic bound that holds with high probability on the insertion time for cuckoo hashing under the random-walk insertion method. Cuckoo hashing ...
Alan M. Frieze, Páll Melsted, Michael Mitze...
PKC
2011
Springer
197views Cryptology» more  PKC 2011»
14 years 6 months ago
Cryptanalysis of Multivariate and Odd-Characteristic HFE Variants
We investigate the security of a generalization of HFE (multivariate and odd-characteristic variants). First, we propose an improved version of the basic Kipnis-Shamir key recovery...
Luk Bettale, Jean-Charles Faugère, Ludovic ...