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Application of Cellular Automata for Cryptography

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Parallel Processing and Applied Mathematics (PPAM 2003)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 3019))

Abstract

New results concerning application of cellular automata (CAs) to secret key cryptography is described in this paper. One dimensional nonuniform CAs are considered for generating pseudo-random number sequences (PNSs) used in a secret key cryptographic system. The quality of PNSs highly depends on the set of applied CA rules. The search of rules relies on an evolutionary technique called cellular programming. Different rule sizes are considered. As the result of collective behavior of discovered set of CA rules very high quality PNSs are generated. Indeed the quality of PNSs outperforms the quality of known one dimensional CA-based PNS generators used for secret key cryptography. The extended set of CA rules proposed in this article makes the cryptography system much more resistant on attacks.

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References

  1. Guan, P.: Cellular Automaton Public-Key Cryptosystem. Complex Systems 1, 51–56 (1987)

    MATH  MathSciNet  Google Scholar 

  2. Gutowitz, H.: Cryptography with Dynamical Systems. In: Goles, E., Boccara, N. (eds.) Cellular Automata and Cooperative Phenomena, Kluwer Academic Press, Dordrecht (1993)

    Google Scholar 

  3. Habutsu, T., Nishio, Y., Sasae, I., Mori, S.: A Secret Key Cryptosystem by Iterating a Chaotic Map. In: Davies, D.W. (ed.) EUROCRYPT 1991. LNCS, vol. 547, pp. 127–140. Springer, Heidelberg (1991)

    Google Scholar 

  4. Hortensius, P.D., McLeod, R.D., Card, H.C.: Parallel random number generation for VLSI systems using cellular automata. IEEE Trans. on Computers 38, 1466–1473 (1989)

    Article  Google Scholar 

  5. Kari, J.: Cryptosystems based on reversible cellular automata, personal communication (1992)

    Google Scholar 

  6. Knuth, D.E.: The Art of Computer Programming. Seminumerical Algorithms, vol. 1 & 2. Addison-Wesley, Reading (1981)

    MATH  Google Scholar 

  7. Marsaglia, G.: Diehard (1998), http://stat.fsu.edu/~geo/diehard.html

  8. Menezes, A., van Oorschot, P., Vanstone, S.: Handbook of Applied Cryptography. CRC Press, Boca Raton (1996)

    Book  Google Scholar 

  9. Mroczkowski, A.: Application of Cellular Automata in Cryptography, Master Thesis (in Polish), Warsaw University of Technology (2002)

    Google Scholar 

  10. Nandi, S., Kar, B.K., Chaudhuri, P.P.: Theory and Applications of Cellular Automata in Cryptography. IEEE Trans. on Computers 43, 1346–1357 (1994)

    Article  Google Scholar 

  11. National Institute of Standards and Technology, Federal Information Processing Standards Publication 140-2: Security Requirements for Cryptographic Modules, U.S. Government Printing Office, Washington (1999)

    Google Scholar 

  12. Seredynski, F., Bouvry, P., Zomaya, A.Y.: Cellular Programming and Symmetric Key Cryptography Systems. In: Cantu-Paz, E., et al. (eds.) Genetic and Evolutionary Computation-GECCO 2003. LNCS, vol. 2724, pp. 1369–1381. Springer, Heidelberg (2003)

    Chapter  Google Scholar 

  13. Schneier, B.: Applied Cryptography. Wiley, New York (1996)

    Google Scholar 

  14. Sipper, M., Tomassini, M.: Generating parallel random number generators by cellular programming. Int. Journal of Modern Physics C 7(2), 181–190 (1996)

    Article  Google Scholar 

  15. Tomassini, M., Perrenoud, M.: Stream Ciphers with One- and Two-Dimensional Cellular Automata. In: Schoenauer, M., et al. (eds.) PPSN 2000. LNCS, vol. 1917, pp. 722–731. Springer, Heidelberg (2000)

    Chapter  Google Scholar 

  16. Tomassini, M., Sipper, M.: On the Generation of High-Quality Random Numbers by Two-Dimensional Cellular Automata. IEEE Trans. on Computers 49(10), 1140–1151 (2000)

    Google Scholar 

  17. Wolfram, S.: Cryptography with Cellular Automata. In: Williams, H.C. (ed.) CRYPTO 1985. LNCS, vol. 218, pp. 429–432. Springer, Heidelberg (1986)

    Google Scholar 

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Bouvry, P., SeredyƄski, F., Zomaya, A.Y. (2004). Application of Cellular Automata for Cryptography. In: Wyrzykowski, R., Dongarra, J., Paprzycki, M., Waƛniewski, J. (eds) Parallel Processing and Applied Mathematics. PPAM 2003. Lecture Notes in Computer Science, vol 3019. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-24669-5_58

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  • DOI: https://doi.org/10.1007/978-3-540-24669-5_58

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-21946-0

  • Online ISBN: 978-3-540-24669-5

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