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Finding a Small Root of a Bivariate Integer Equation; Factoring with High Bits Known

Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 1070)

Abstract

We present a method to solve integer polynomial equations in two variables, provided that the solution is suitably bounded. As an application, we show how to find the factors of N = PQ if we are given the high order ((1/4) log2 N) bits of P. This compares with Rivest and Shamir’s requirement of ((1/3) log2 N) bits.

Keywords

Polynomial Equation Diagonal Entry Triangular Matrix Select Index Springer LNCS 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

References

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Copyright information

© Springer-Verlag Berlin Heidelberg 1996

Authors and Affiliations

  1. 1.T.J. Watson Research CenterIBM ResearchYorktown HeightsUSA

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