Extensions of the cube attack based on low degree annihilators

Zhang, Aileen, Lim, Chu-Wee, Khoo, Khoongming, Wei, Lei, & Pieprzyk, Josef (2009) Extensions of the cube attack based on low degree annihilators. Lecture Notes in Computer Science : Cryptology and Network Security, 5888, pp. 87-102.

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At Crypto 2008, Shamir introduced a new algebraic attack called the cube attack, which allows us to solve black-box polynomials if we are able to tweak the inputs by varying an initialization vector. In a stream cipher setting where the filter function is known, we can extend it to the cube attack with annihilators: By applying the cube attack to Boolean functions for which we can find low-degree multiples (equivalently annihilators), the attack complexity can be improved. When the size of the filter function is smaller than the LFSR, we can improve the attack complexity further by considering a sliding window version of the cube attack with annihilators. Finally, we extend the cube attack to vectorial Boolean functions by finding implicit relations with low-degree polynomials.

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ID Code: 70181
Item Type: Journal Article
Refereed: Yes
Additional Information: 8th International Conference, CANS 2009, Kanazawa, Japan, December 12-14, 2009. Proceedings
Additional URLs:
Keywords: Cube attack, Algebraic attack, Low-degree annihilators
DOI: 10.1007/978-3-642-10433-6_7
ISSN: 0302-9743
Divisions: Current > Schools > School of Electrical Engineering & Computer Science
Current > QUT Faculties and Divisions > Science & Engineering Faculty
Copyright Owner: Copyright 2009 Springer-Verlag Berlin Heidelberg
Copyright Statement: The final publication is available at Springer via http://dx.doi.org/10.1007/978-3-642-10433-6_7
Deposited On: 15 Apr 2014 04:49
Last Modified: 16 Jul 2014 19:21

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