Differential Cryptanalysis in Stream Ciphers

In this paper we present a general framework for the application of the ideas of differential cryptanalysis to stream ciphers. We demonstrate that some differences in the key (or the initial state or the plaintext) are likely to cause predicted differences in the key stream or in the internal state. These stream differences can then be used to analyze the internal state of the cipher and retrieve it efficiently. We apply our proposed ideas to stream ciphers of various designs, e.g., regularly clocked LFSRs, irregularly clocked LFSRs such as A5/1, and permutation-based stream ciphers such as RC4.

[1]  Itsik Mantin,et al.  Predicting and Distinguishing Attacks on RC4 Keystream Generator , 2005, EUROCRYPT.

[2]  HellMartin,et al.  Grain: a stream cipher for constrained environments , 2007 .

[3]  Eli Biham,et al.  Differential Cryptanalysis of the Data Encryption Standard , 1993, Springer New York.

[4]  Alexander Maximov,et al.  An Improved Correlation Attack on A5/1 , 2004, Selected Areas in Cryptography.

[5]  Ilya Mironov,et al.  (Not So) Random Shuffles of RC4 , 2002, IACR Cryptol. ePrint Arch..

[6]  Eli Biham,et al.  Cryptanalysis of Patarin's 2-Round Public Key System with S Boxes (2R) , 2000, EUROCRYPT.

[7]  Martin Hell,et al.  Grain: a stream cipher for constrained environments , 2007, Int. J. Wirel. Mob. Comput..

[8]  Eli Biham,et al.  Differential Fault Analysis of Secret Key Cryptosystems , 1997, CRYPTO.

[9]  Jacques Stern,et al.  Cryptanalysis of SFLASH with Slightly Modified Parameters , 2007, EUROCRYPT.

[10]  Richard J. Lipton,et al.  On the Importance of Checking Cryptographic Protocols for Faults (Extended Abstract) , 1997, EUROCRYPT.

[11]  Bruce Schneier,et al.  Helix: Fast Encryption and Authentication in a Single Cryptographic Primitive , 2003, FSE.

[12]  Itsik Mantin,et al.  A Practical Attack on the Fixed RC4 in the WEP Mode , 2005, ASIACRYPT.

[13]  Eli Biham,et al.  Py (Roo): A Fast and Secure Stream Cipher using Rolling Arrays , 2005, IACR Cryptol. ePrint Arch..

[14]  Bart Preneel,et al.  Differential-Linear Attacks Against the Stream Cipher Phelix , 2007, FSE.

[15]  Adi Shamir,et al.  A Practical Attack on Broadcast RC4 , 2001, FSE.

[16]  Frédéric Muller.  Differential Attacks against the Helix Stream Cipher , 2004, FSE.

[17]  Eli Biham,et al.  New types of cryptanalytic attacks using related keys , 1994, Journal of Cryptology.

[19]  Jacques Stern,et al.  Differential Cryptanalysis for Multivariate Schemes , 2005, EUROCRYPT.