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A. Fujioke, T. Okamoto, and S. Miyaguchi. ESIGN: an e#cient digital signature implementation for smartcards In proceedings Eurocrypt '91, Lecture Notes in Computer Science, vol. 547, Springer-Verlag, pp. 446--457, 1991.

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Factoring N = p r q for Large r (Extended Abstract) - Boneh, Durfee, Howgrave-Graham (1999)   (Correct)

....r q should be used with care. This is especially true when r is large, namely r greater than p log p. Keywords: RSA, Factoring, Lattice basis reduction, LLL. 1 Introduction In recent years moduli of the form N = p r q have found many applications in cryptography. For example, Fujioke et al. [3] use a modulus N = p 2 q in an electronic cash scheme. Okamoto and Uchiyama [10] use N = p 2 q for an elegant public key system. Last year Takagai [16] observed that RSA decryption can be performed signi cantly faster by using a modulus of the form N = p r q. In all these applications, the ....

A. Fujioke, T. Okamoto, S. Miyaguchi, \ESIGN: an eÆcient digital signature implementation for smartcards", In. proc. Eurocrypt '91, pp. 446-457, 1991.


Cryptanalysis of RSA Using Algebraic and Lattice Methods - Durfee (2002)   (Correct)

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A. Fujioke, T. Okamoto, and S. Miyaguchi. ESIGN: an e#cient digital signature implementation for smartcards In proceedings Eurocrypt '91, Lecture Notes in Computer Science, vol. 547, Springer-Verlag, pp. 446--457, 1991.

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