[Resource Topic] 2008/260: Breaking RSA Generically is Equivalent to Factoring

Welcome to the resource topic for 2008/260

Title:
Breaking RSA Generically is Equivalent to Factoring

Authors: Divesh Aggarwal, Ueli Maurer

Abstract:

We show that a generic ring algorithm for breaking RSA in \mathbb{Z}_N can be converted into an algorithm for factoring the corresponding RSA-modulus N. Our results imply that any attempt at breaking RSA without factoring N will be non-generic and hence will have to manipulate the particular bit-representation of the input in \mathbb{Z}_N. This provides new evidence that breaking RSA may be equivalent to factoring the modulus.

ePrint: https://eprint.iacr.org/2008/260

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