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State convergence and keyspace reduction of the mixer stream cipher

Teo, Sui-Guan, Wong, Kenneth Koon-Ho, Simpson, Leonie R., & Dawson, Edward (2012) State convergence and keyspace reduction of the mixer stream cipher. Journal of Discrete Mathematical Sciences and Cryptography, 15, pp. 89-104.

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Abstract

This paper presents an analysis of the stream cipher Mixer, a bit-based cipher with structural components similar to the well-known Grain cipher and the LILI family of keystream generators. Mixer uses a 128-bit key and 64-bit IV to initialise a 217-bit internal state. The analysis is focused on the initialisation function of Mixer and shows that there exist multiple key-IV pairs which, after initialisation, produce the same initial state, and consequently will generate the same keystream. Furthermore, if the number of iterations of the state update function performed during initialisation is increased, then the number of distinct initial states that can be obtained decreases. It is also shown that there exist some distinct initial states which produce the same keystream, resulting in a further reduction of the effective key space

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ID Code: 51028
Item Type: Journal Article
Keywords: Grain; Initialisation, Stream cipher, State convergence, Lili , Mixer
ISSN: 0972-0529
Subjects: Australian and New Zealand Standard Research Classification > INFORMATION AND COMPUTING SCIENCES (080000)
Divisions: Current > Schools > School of Electrical Engineering & Computer Science
Current > QUT Faculties and Divisions > Science & Engineering Faculty
Copyright Owner: Copyright 2012 Taru Publications.
Deposited On: 25 Jun 2012 09:17
Last Modified: 19 Feb 2013 21:45

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