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The stream cipher RC4 was designed by R. Rivest in 1987, and it is a widely deployed cipher. In this paper we analyse the class RC4-Nof RC4-like stream ciphers, where Nis 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 reduced RC4-100, our attack has total complexity of around 293operations, whereas the best previous attack (from Knudsen et al.) needs 2236of time.The complexity of the attack applied to the original RC4-256 depends on the parameters of specific states (patterns), which are in turn hard to discover. Extrapolated parameters from smaller patterns give us the attack of complexity about 2241, and it is much smaller than the complexity of the best known previous attack 2779. The algorithm of the new attack was implemented and verified on small cases.

New State Recovery Attack on RC4