Attacks on RSA: Difference between revisions

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imported>Sandy Harris
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| volume= 36
| volume= 36
| issue= 3
| issue= 3
| date=May 1990
| date=May 1990</ref> based on [[continued fraction]]s which is effective if the exponent in the secret key is small.
| page=553 - 558</ref> based on [[continued fraction]]s which is effective if the exponent in the secret key is small.
 
== TWIRL ==
== TWIRL ==



Revision as of 00:52, 14 April 2009

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.

TWIRL

The Weizman Instiute Relation Locator [2], developed by Adi Shamir (The 'S' in RSA) and Evan Tromer, is a machine designed to speed up the seiving step in the number field seive technique for integer factorisation.

RSA Security have commented [1].

References

  1. {{cite paper | title=Cryptanalysis of short RSA secret exponents | author=Wiener, M.J. | journal= IEEE Transactions on Information Theory | volume= 36 | issue= 3 | date=May 1990
  2. Adi Shamir & Eran Tromer (2003). On the cost of factoring RSA-1024.