Attacks on RSA: Difference between revisions
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A number of methods have been proposed for attacking the [[RSA cryptosystem]]. This article describes them. | A number of methods have been proposed for attacking the [[RSA cryptosystem]]. This article describes them. | ||
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== Weiner attack == | == Weiner attack == | ||
[[Michael Weiner]] proposed an attack <ref>{{cite paper | [[Michael Weiner]] proposed an attack <ref>{{cite paper | ||
| title=Cryptanalysis of short RSA secret exponents | | title=Cryptanalysis of short RSA secret exponents | ||
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== TWIRL == | == TWIRL == | ||
'''The Weizmann Institute Relation Locator''' <ref>{{cite paper | |||
'''The Weizmann | |||
| author=Adi Shamir & Eran Tromer | | author=Adi Shamir & Eran Tromer | ||
| title=On the cost of factoring RSA-1024 | | title=On the cost of factoring RSA-1024 | ||
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| date=2003 | | date=2003 | ||
| url=http://people.csail.mit.edu/tromer/ | | url=http://people.csail.mit.edu/tromer/ | ||
}}</ref>, developed by [[Adi Shamir]] (The 'S' in RSA) and [[Eran Tromer]], is a machine designed to speed up the | }}</ref>, developed by [[Adi Shamir]] (The 'S' in RSA) and [[Eran Tromer]], is a machine designed to speed up the sieving step in the [[number field sieve]] technique for [[integer factorisation]]. | ||
RSA Security have commented [http://www.rsa.com/rsalabs/node.asp?id=2004]. | RSA Security have commented [http://www.rsa.com/rsalabs/node.asp?id=2004]. | ||
Revision as of 05:03, 29 November 2013
A number of methods have been proposed for attacking the RSA cryptosystem. This article describes them.
Any efficient solution to the integer factorisation problem would break RSA; see the RSA article for discussion. The difficulty with that approach is that no efficient solution is known. Cracking a large (say 1024 bits or more) RSA key with current factoring algorithms is not practical, even with massive parallelism.
Weiner attack
Michael Weiner proposed an attack [1] based on continued fractions which is effective if the exponent in the secret key is small. There have since been many papers proposing improvements on or variants of that attack.
TWIRL
The Weizmann Institute Relation Locator [2], developed by Adi Shamir (The 'S' in RSA) and Eran Tromer, is a machine designed to speed up the sieving step in the number field sieve technique for integer factorisation.
RSA Security have commented [1].
References
- ↑ Wiener, M.J. (May 1990). "Cryptanalysis of short RSA secret exponents".
- ↑ Adi Shamir & Eran Tromer (2003). On the cost of factoring RSA-1024.