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A different algebraic analysis of the ZUC stream cipher

Al Mashrafi, Mufeed (2011) A different algebraic analysis of the ZUC stream cipher. In Proceedings of the 4th International Conference on Security of Information and Networks, ACM, Macquarie Graduate School of Management, Sydney, NSW, pp. 191-198.

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Abstract

Existing algebraic analyses of the ZUC cipher indicate that the cipher should be secure against algebraic attacks. In this paper, we present an alternative algebraic analysis method for the ZUC stream cipher, where a combiner is used to represent the nonlinear function and to derive equations representing the cipher. Using this approach, the initial states of ZUC can be recovered from 2^97 observed words of keystream, with a complexity of 2^282 operations. This method is more successful when applied to a modified version of ZUC, where the number of output words per clock is increased. If the cipher outputs 120 bits of keystream per clock, the attack can succeed with 219 observed keystream bits and 2^47 operations. Therefore, the security of ZUC against algebraic attack could be significantly reduced if its throughput was to be increased for efficiency.

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ID Code: 48790
Item Type: Conference Paper
Keywords: Algebraic Attacks, Stream Ciphers, ZUC, 128-EEA3, 128-EIA3, Multivariate Equations
DOI: 10.1145/2070425.2070455
ISBN: 9781450310208
Subjects: Australian and New Zealand Standard Research Classification > INFORMATION AND COMPUTING SCIENCES (080000) > COMPUTER SOFTWARE (080300) > Computer System Security (080303)
Divisions: Past > Institutes > Information Security Institute
Current > QUT Faculties and Divisions > Science & Engineering Faculty
Copyright Owner: Copyright 2011 ACM
Deposited On: 22 Feb 2012 08:59
Last Modified: 22 Feb 2012 13:31

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