Finding small solutions to small degree polynomials

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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 finding a small solution to a bivariate equation over Z.We start with the lattice-based approach from [2,3], and speculate on directions for improvement.

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Coppersmith, D. (2001). Finding small solutions to small degree polynomials. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 2146, pp. 20–31). Springer Verlag. https://doi.org/10.1007/3-540-44670-2_3

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