Abstract
In this paper a new procedure has been proposed to synthesize cellular automata (CA) with hybrid rulesets which are very well suited for designing cryptographic primitives. These rulesets are analyzed with respect to nonlinearity, algebraic degree, d-monomial test etc. A new graph theoretic property has also been proposed to analyze the cryptographic strength of cellular automata rules. The randomness of the sequences generated by the rulesets has been tested by NIST test-suite. The experimental results are compared with the existing related works and have shown to be out-performed.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Blackburn, S.r., Murphy, S., Paterson, K.g.: Comments on ”theory and applications of cellular automata in cryptography”. IEEE Transactions on Computers 46, 637–638 (1997)
Filiol, É.: A New Statistical Testing for Symmetric Ciphers and Hash Functions. In: Deng, R.H., Qing, S., Bao, F., Zhou, J. (eds.) ICICS 2002. LNCS, vol. 2513, pp. 342–353. Springer, Heidelberg (2002)
Hortensius, P.D., McLeod, R.D., Card, H.C.: Parallel random number generation for vlsi systems using cellular automata. IEEE Trans. Computers 38(10), 1466–1473 (1989)
Karmakar, S., Mukhopadhyay, D., Roy Chowdhury, D.: d-Monomial Tests of Nonlinear Cellular Automata for Cryptographic Design. In: Bandini, S., Manzoni, S., Umeo, H., Vizzari, G. (eds.) ACRI 2010. LNCS, vol. 6350, pp. 261–270. Springer, Heidelberg (2010)
Markku-juhani, Saarinen, O.: Chosen-iv statistical attacks on estream stream ciphers. In: eSTREAM, ECRYPT Stream Cipher Project, Report 2006/013, pp. 5–19 (2006)
Meier, W., Staffelbach, O.: Analysis of Pseudo Random Sequences Generated by Cellular Automata. In: Davies, D.W. (ed.) EUROCRYPT 1991. LNCS, vol. 547, pp. 186–199. Springer, Heidelberg (1991)
NIST Pseudo Random Number Testing Suite, http://csrc.nist.gov/groups/st/toolkit/rng/documentation_software.html
Wolfram, S.: Random sequence generation by cellular automata. Advances in Applied Mathematics 7, 123–169
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2012 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Chakraborty, K., Chowdhury, D.R. (2012). CSHR: Selection of Cryptographically Suitable Hybrid Cellular Automata Rule. In: Sirakoulis, G.C., Bandini, S. (eds) Cellular Automata. ACRI 2012. Lecture Notes in Computer Science, vol 7495. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-33350-7_61
Download citation
DOI: https://doi.org/10.1007/978-3-642-33350-7_61
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-33349-1
Online ISBN: 978-3-642-33350-7
eBook Packages: Computer ScienceComputer Science (R0)