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Title:
Breaking Public Keys - How to Determine an Unknown RSA Public Modulus
Authors: Hans-Joachim Knobloch
Abstract:Not surprisingly, the common use of any public key crypto system involves publishing the public key and keeping the private key secret. There are however a few applications where both the private and public key are kept secret, thereby effectively converting a public key crypto algorithm to a symmetric algorithm. We show that if the RSA cryptosystem is used in such a symmetric application, it is possible to determine the public RSA modulus if the public exponent is known and short, such as 3 or F4=65537, and two or more plaintext/ciphertext (or, if RSA is used for signing, signed value/signature) pairs are known.
ePrint: https://eprint.iacr.org/2012/588
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