Article ID Journal Published Year Pages File Type
4594213 Journal of Number Theory 2013 5 Pages PDF
Abstract

We give a probabilistic algorithm that constructs an RSA modulus M=pl with prescribed bit patterns, where primes p and l are both of n-bit size. Assume the Generalized Riemann Hypothesis. We show that the algorithm can generate an RSA modulus M with the least significant bits prescribed in advance, with time complexity of polynomial in n.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory