International Association for Cryptologic Research

International Association
for Cryptologic Research


Paper: New State Recovery Attack on RC4

Alexander Maximov
Dmitry Khovratovich
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Abstract: The stream cipher RC4 was designed by R.~Rivest in 1987, and it has a very simple and elegant structure. It is probably the most deployed cipher on the Earth. ~~~~In this paper we analyse the class RC4-$N$ of RC4-like stream ciphers, where $N$ is the modulus of operations, as well as the length of internal arrays. Our new attack is a state recovery attack which accepts the keystream of a certain length, and recovers the internal state. For the original RC4-256, our attack has total complexity of around $2^{241}$ operations, whereas the best previous attack needs $2^{779}$ of time. Moreover, we show that if the secret key is of length $N$ bits or longer, the new attack works faster than an exhaustive search. The algorithm of the attack was implemented and verified on small cases.
  title={New State Recovery Attack on RC4},
  booktitle={IACR Eprint archive},
  keywords={RC4, state recovery attack, key recovery attack.},
  note={ 13929 received 10 Jan 2008, last revised 20 Feb 2008},
  author={Alexander Maximov and Dmitry Khovratovich},