Title :
Cryptanalysis of RSA with private key d less than N0.292
Author :
Boneh, Dan ; Durfee, Glenn
Author_Institution :
Dept. of Comput. Sci., Stanford Univ., CA, USA
fDate :
7/1/2000 12:00:00 AM
Abstract :
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
Keywords :
public key cryptography; telecommunication security; RSA public-key cryptosystem; RSA system; Wiener attack; cryptanalysis; insecure system; private exponent; private key; Computer science; Inverse problems; Lattices; Public key; Public key cryptography; Writing;
Journal_Title :
Information Theory, IEEE Transactions on