Small primitive roots and malleability of RSA moduli

Details Small primitive roots and malleability of RSA moduli Small primitive roots and malleability of RSA moduli

2007-12-29

arxiv.org/abs/0801.0030v1

Mathematics

Number Theory

Scientific paper

In a paper of P. Paillier and J. Villar a conjecture is made about the malleability of an RSA modulus. In this paper we present an explicit algorithm refuting the conjecture. Concretely we can factorize an RSA modulus n using very little information on the factorization of a concrete n' coprime to n. However, we believe the conjecture might be true, when imposing some extra conditions on the auxiliary n' allowed to be used. In particular, the paper shows how subtle the notion of malleability is.

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