Algebraic analysis of Trivium-like ciphers

Teo, Sui-Guan, Wong, Kenneth Koon-Ho, Bartlett, Harry, Simpson, Leonie, & Dawson, Edward (2013) Algebraic analysis of Trivium-like ciphers. [Working Paper] (Unpublished)


Trivium is a bit-based stream cipher in the final portfolio of the eSTREAM project. In this paper, we apply the approach of Berbain et al. to Trivium-like ciphers and perform new algebraic analyses on them, namely Trivium and its reduced versions: Trivium-N, Bivium-A and Bivium-B. In doing so, we answer an open question in the literature. We demonstrate a new algebraic attack on Bivium-A. This attack requires less time and memory than previous techniques which use the F4 algorithm to recover Bivium-A's initial state. Though our attacks on Bivium-B, Trivium and Trivium-N are worse than exhaustive keysearch, the systems of equations which are constructed are smaller and less complex compared to previous algebraic analysis. Factors which can affect the complexity of our attack on Trivium-like ciphers are discussed in detail.

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ID Code: 59505
Item Type: Working Paper
Refereed: No
Additional Information: Also available from the Cryptology ePrint Archive at A later version appeared at the Australasian Information Security Conference(ACSW-AISC 2014), Auckland, New Zealand, January 2014. Conferences in Research and Practice in Information Technology (CRPIT), Vol. 149, Udaya Parampalli and Ian Welch, Ed.
Additional URLs:
Keywords: Stream ciphers, Trivium, Trivium-N, Bivium-A, Bivium-B, Algebraic attacks
Subjects: Australian and New Zealand Standard Research Classification > INFORMATION AND COMPUTING SCIENCES (080000) > DATA FORMAT (080400) > Data Encryption (080402)
Divisions: Current > Schools > School of Electrical Engineering & Computer Science
Current > Institutes > Institute for Future Environments
Current > Schools > School of Mathematical Sciences
Current > QUT Faculties and Divisions > Science & Engineering Faculty
Copyright Owner: Copyright 2013 Please consult the authors.
Deposited On: 30 Apr 2013 02:39
Last Modified: 27 Nov 2013 11:54

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