A tool kit for finding small roots of bivariate polynomials over the integers

作者: Johannes Blömer , Alexander May

DOI: 10.1007/11426639_15

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摘要: We present a new and flexible formulation of Coppersmith's method for finding small solutions bivariate polynomials p(x,y) over the integers. Our approach allows to maximize bound on in purely combinatorial way. give various construction rules different shapes p(x,y)'s Newton polygon. has several applications. Most interestingly, we reduce case solving univariate f(x) modulo some composite number N unknown factorization Hence, our unifies both methods given by Coppersmith at Eurocrypt 1996.

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