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JSC
2010
90views more  JSC 2010»
13 years 3 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...
SODA
2000
ACM
127views Algorithms» more  SODA 2000»
13 years 6 months ago
Dimensionality reduction techniques for proximity problems
In this paper we give approximation algorithms for several proximity problems in high dimensional spaces. In particular, we give the rst Las Vegas data structure for (1 + )-neares...
Piotr Indyk
ISSAC
2007
Springer
199views Mathematics» more  ISSAC 2007»
13 years 11 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
ISSAC
2005
Springer
105views Mathematics» more  ISSAC 2005»
13 years 10 months ago
Computing the rank and a small nullspace basis of a polynomial matrix
We reduce the problem of computing the rank and a nullspace basis of a univariate polynomial matrix to polynomial matrix multiplication. For an input n×n matrix of degree d over ...
Arne Storjohann, Gilles Villard
CRYPTO
2010
Springer
157views Cryptology» more  CRYPTO 2010»
13 years 6 months ago
Correcting Errors in RSA Private Keys
Abstract. Let pk = (N , e) be an RSA public key with corresponding secret key sk = (p, q, d, dp, dq , q-1 p ). Assume that we obtain partial error-free information of sk, e.g., ass...
Wilko Henecka, Alexander May, Alexander Meurer