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  4. On the security of 1024-bit RSA and 160-bit elliptic curve cryptography
 
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On the security of 1024-bit RSA and 160-bit elliptic curve cryptography

Bos, J.
•
Kaihara, M.
•
Kleinjung, T.
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2009

Meeting the requirements of NIST’s new cryptographic standard ‘Suite B Cryptography’ means phasing out usage of 1024-bit RSA and 160-bit Elliptic Curve Cryptography (ECC) by the year 2010. This write-up comments on the vulnerability of these systems to an open community attack effort and aims to assess the risk of their continued usage beyond 2010. We conclude that for 1024-bit RSA the risk is small at least until the year 2014, and that 160-bit ECC may safely be used for much longer – with the current state of the art in cryptanalysis we would be surprised if a public effort can make a dent in 160-bit ECC by the year 2020. Our assessment is based on the latest practical data of large scale integer factorization and elliptic curve discrete logarithm computation efforts.

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