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EUROCRYPT
2004
Springer
13 years 9 months ago
Finding Small Roots of Bivariate Integer Polynomial Equations Revisited
At Eurocrypt ’96, Coppersmith proposed an algorithm for finding small roots of bivariate integer polynomial equations, based on lattice reduction techniques. But the approach is...
Jean-Sébastien Coron
CRYPTO
2007
Springer
144views Cryptology» more  CRYPTO 2007»
13 years 10 months ago
Finding Small Roots of Bivariate Integer Polynomial Equations: A Direct Approach
Coppersmith described at Eurocrypt 96 an algorithm for finding small roots of bivariate integer polynomial equations, based on lattice reduction. A simpler algorithm was later pro...
Jean-Sébastien Coron
EUROCRYPT
2005
Springer
13 years 10 months ago
A Tool Kit for Finding Small Roots of Bivariate Polynomials over the Integers
We present a new and flexible formulation of Coppersmith’s method for finding small solutions of bivariate polynomials p(x, y) over the integers. Our approach allows to maximiz...
Johannes Blömer, Alexander May
CALC
2001
Springer
201views Cryptology» more  CALC 2001»
13 years 8 months ago
Finding Small Solutions to Small Degree Polynomials
Abstract. This talk is a brief survey of recent results and ideas concerning the problem of finding a small root of a univariate polynomial mod N, and the companion problem of fi...
Don Coppersmith