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Cryptanalysis of RSA with private key d less than N0.292

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2 Author(s)
Boneh, D. ; Dept. of Comput. Sci., Stanford Univ., CA, USA ; Durfee, G.

We show that if the private exponent d used in the RSA (Rivest-Shamir-Adleman (1978)) public-key cryptosystem is less than N 0.292 then the system is insecure. This is the first improvement over an old result of Wiener (1990) showing that when d is less than N0.25 the RSA system is insecure. We hope our approach can be used to eventually improve the bound to d less than N 0.5

Published in:
Information Theory, IEEE Transactions on  (Volume:46 ,  Issue: 4 )

Date of Publication: Jul 2000

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