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Cryptanalysis of Alleged A5 Stream Cipher

  • Jovan Dj. Golić
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 1233)

Abstract

A binary stream cipher, known as A5, consisting of three short LFSRs of total length 64 that are mutually clocked in the stop/go manner is cryptanalyzed. It is allegedly used in the GSM standard for digital cellular mobile telephones. Very short keystream sequences are generated from different initial states obtained by combining a 64-bit secret session key and a known 22-bit public key. A basic divide-and-conquer attack recovering the unknown initial state from a known keystream sequence is first introduced. It exploits the specific clocking rule used and has average computational complexity around 240. A time-memory trade-off attack based on the birthday paradox which yields the unknown internal state at a known time for a known keystream sequence is then pointed out. The attack is successful if T · M ≥ 263.32, where T and M are the required computational time and memory (in 128-bit words), respectively. The precomputation time is O(M) and the required number of known keystream sequences generated from different public keys is about T/102. For example, one can choose T ≈ 227.67 and M ≈ 235.65. To obtain the secret session key from the determined internal state, a so-called internal state reversion attack is proposed and analyzed by the theory of critical and subcritical branching processes.

Keywords

Internal State Stream Cipher Keystream Generator Vectorial Boolean Function Birthday Paradox 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 1997

Authors and Affiliations

  • Jovan Dj. Golić
    • 1
  1. 1.School of Electrical EngineeringUniversity of BelgradeBeogradYugoslavia

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