Linear Cryptanalysis for a Chaos-Based Stream Cipher
Linear cryptanalysis methods are rarely used to improve the security of chaotic stream ciphers. In this paper, we apply linear cryptanalysis to a chaotic stream cipher which was designed by strictly using the basic design criterion of cryptosystem – confusion and diffusion. We show that this well-designed chaos-based stream cipher is still insecure against distinguishing attack. This distinguishing attack promotes the further improvement of the cipher.
Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1078773Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF Downloads 1320
 L. Kocarev, "Chaos-based cryptography: A brief overview," IEEE Circuits Syst. Mag., vol. 1, pp. 6-21, 2001.
 G. Jakimoski and L. Kocarev, "Chaos and cryptography: Block encryption ciphers based on chaotic maps," IEEE Trans. Circuits Syst. I, Fundam. Theory Appl., vol. 48, no. 2, pp. 163-169, Feb. 2001.
 G. Jakimoski and L. Kocarev, "Differential and Linear Probabilities of a Block-Encryption Cipher", IEEE Trans. Circuits Syst. I, Fundam. Theory Appl., vol. 50, no. 1, pp. 121-123, Jan. 2003.
 J. M. Amigo and J. Szczepanski, "Approximations of dynamical systems and their applications to cryptography," Int. J. Bifurc. Chaos, vol. 13, pp. 1937-1948, 2003.
 J. Szczepanski, J. M. Amigo, T. Michalek, L. Kocarev, "Cryptographically secure substitutions based on the approximation of mixing maps," IEEE Trans. Circuits Syst. I, Fundam. Theory Appl., vol. 52, no. 2, pp. 443- 453, Feb. 2005.
 N. Masuda, G. Jakimoski, K. Aihara, L. Kocarev, "Chaotic Block Ciphers: From Theory to Practical Algorithms," IEEE Trans. Circuits Syst. I, Fundam. Theory Appl., vol. 53, no. 6, pp. 1341-1352, Jun. 2006.
 R. Yin, J. Yuan, Q. Yang, et al., "Discretization of coupled map lattices for a stream cipher," submitted to Physics Letters A, Apr. 2009.
 S. Paul, B. Preneel, G. Sekar, "Distinguishing Attacks on the Stream Cipher Py," Fast Software Encryption 2006, M.J.B. Robshaw, ed., vol. 4047, pp. 405-421, Springer Berlin/Heidelberg 2006.
 T. Baigneres, P. Junod, S. Vaudenay, "How Far Can We Go Beyond Linear Cryptanalysis?," ASIACRYPT 2004, P.J. Lee, ed., vol. 3329, pp. 432-450, Springer Berlin/Heidelberg 2004.
 M. Matsui, "Linear cryptanalysis method for DES ciphers," Advances in Cryptology-Eurocrypt 1993, T. Helleseth, ed., vol. 765, pp. 386-397, Springer Berlin/Heidelberg 1994.
 M. Boesgaard, M. Vesterager, T. Pedersen, et al., "Rabbit: A New High-Performance Stream Cipher," Fast Software Encryption 2003, T. Johansson, ed., vol. 2887, pp. 307-329, Springer Berlin/Heidelberg 2003.