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Gemstone: A New Stream Cipher Using Coupled Map Lattice

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Information Security and Cryptology (Inscrypt 2009)

Part of the book series: Lecture Notes in Computer Science ((LNSC,volume 6151))

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Abstract

In this paper, we propose a new stream cipher Gemstone by discretizing coupled map lattices (CML), which is a nonlinear system of coupled chaotic maps. Gemstone uses a 128-bit key and a 64-bit initialization vector (IV). We show that there is no high probability difference propagations or high correlations over the IV setup scheme. Thus the IV setup of Gemstone is very secure. We also verify that the largest linear correlations between consecutive key streams are below the safe bounds. Gemstone is slightly slower than AES-CTR, but its initialization speeds are higher than some finalists of eSTREAM.

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References

  1. Masuda, N., Jakimoski, G., Aihara, K., Kocarev, L.: Chaotic Block Ciphers: From Theory to Practical Algorithms. IEEE Transactions on Circuits and Systems – I: Fundamental Theory and Applications 53(6), 1341–1352 (2006)

    Article  MathSciNet  Google Scholar 

  2. Schneier, B.: Applied Cryptography – Protocols, Algorithms, and Source Code in C, 2nd edn. John Wiley & Sons, Chichester (1996)

    MATH  Google Scholar 

  3. Biham, E., Shamir, A.: Differential Cryptanalysis of DES-like Cryptosystems. In: Menezes, A., Vanstone, S.A. (eds.) CRYPTO 1990. LNCS, vol. 537, pp. 2–21. Springer, Heidelberg (1991)

    Google Scholar 

  4. Heys, H.M.: A Tutorial on Linear and Differential analysis, http://www.engr.mun.ca/~howard/PAPERS/ldc_tutorial.ps

  5. Matsui, M.: Linear cryptanalysis method for DES cipher. In: Helleseth, T. (ed.) EUROCRYPT 1993. LNCS, vol. 765, pp. 386–397. Springer, Heidelberg (1994)

    Google Scholar 

  6. Daemen, J., Govaerts, R., Vandewalle, J.: Correlation matrices. In: Preneel, B. (ed.) FSE 1994. LNCS, vol. 1008, pp. 275–285. Springer, Heidelberg (1995)

    Google Scholar 

  7. Rosen, K.H.: Elementary Number Theory and its Applications, 5th edn. Addison-Wesley, Reading (2005)

    Google Scholar 

  8. Shamir, A., Tsaban, B.: Guaranteeing the Diversity of Number Generators. Information and Computation 171(2), 350–363 (2001)

    Article  MATH  MathSciNet  Google Scholar 

  9. Menezes, A., Oorschot, P., Vanstone, S.: Handbook of Applied Cryptography. CRC Press LLC, Boca Raton (1997)

    MATH  Google Scholar 

  10. Daemen, J., Rijmen, V.: The Wide Trail Design Strategy. In: Honary, B. (ed.) Cryptography and Coding 2001. LNCS, vol. 2260, pp. 222–238. Springer, Heidelberg (2001)

    Chapter  Google Scholar 

  11. Joux, A., Muller, F.: A Chosen IV Attack Against Turing. In: Matsui, M., Zuccherato, R.J. (eds.) SAC 2003. LNCS, vol. 3006, pp. 194–207. Springer, Heidelberg (2004)

    Google Scholar 

  12. Berbain, C., Gilbert, H.: On the Security of IV Dependent Stream Ciphers. In: Biryukov, A. (ed.) FSE 2007. LNCS, vol. 4593, pp. 254–273. Springer, Heidelberg (2007)

    Chapter  Google Scholar 

  13. Englund, H., Johansson, T., Turan, M.S.: A Framework for Chosen IV Statistical Analysis of Stream Ciphers. In: Srinathan, K., Rangan, C.P., Yung, M. (eds.) INDOCRYPT 2007. LNCS, vol. 4859, pp. 268–281. Springer, Heidelberg (2007)

    Chapter  Google Scholar 

  14. Canniere, C.D., Preneel, B.: Trivium. In: Robshaw, M.J.B., Billet, O. (eds.) New Stream Cipher Designs. LNCS, vol. 4986, pp. 244–266. Springer, Heidelberg (2008)

    Chapter  Google Scholar 

  15. Boesgaard, M., Vesterager, M., Pedersen, T., et al.: Rabbit: A New High-Performance Stream Cipher. In: Johansson, T. (ed.) FSE 2003. LNCS, vol. 2887, pp. 307–329. Springer, Heidelberg (2003)

    Chapter  Google Scholar 

  16. Rukhin, A., Soto, J., Nechvatal, J., et al.: A statistical test suite for random and pseudorandom number generators for cryptographic applications (2001), http://www.nist.gov

  17. Marsaglia, G.: DIEHARD Statistical Tests, http://stat.fsu.edu/geo/diehard.html

  18. Turan, M.S., Doganaksoy, A., Calik, C.: Statistical Analysis of Synchronous Stream Ciphers. In: eSTREAM, ECRYPT Stream Cipher Project, Report 2006/012 (2006)

    Google Scholar 

  19. Wang, S., Kuang, J., Li, J., et al.: Chaos-based secure communications in a large community. Physical Review E 66(6), 065202(1-4) (2002)

    Google Scholar 

  20. Lu, H., Wang, S., Li, X., et al.: A new spatiotemporally chaotic cryptosystem and its security and performance analyses. Chaos 14(3), 617–629 (2004)

    Article  MathSciNet  Google Scholar 

  21. Li, P., Li, Z., Halang, W.A., Chen, G.: A stream cipher based on a spatiotemporal chaotic system. Chaos Solitons Fractals 32(5), 1867–1876 (2007)

    Article  MATH  MathSciNet  Google Scholar 

  22. Robshaw, M.: The eSTREAM Project. In: Robshaw, M.J.B., Billet, O. (eds.) New Stream Cipher Designs. LNCS, vol. 4986, pp. 1–6. Springer, Heidelberg (2008)

    Chapter  Google Scholar 

  23. Johansson, T.: Analysis and Design of Modern Stream Ciphers. In: Paterson, K.G. (ed.) Cryptography and Coding 2003. LNCS, vol. 2898, p. 66. Springer, Heidelberg (2003)

    Chapter  Google Scholar 

  24. Scholl, E., Schuster, H.G.: Handbook of chaos control. Wiley-VCH, New York (2008)

    Google Scholar 

  25. Canniere, C.D.: eSTREAM Software Performance. In: Robshaw, M.J.B., Billet, O. (eds.) New Stream Cipher Designs. LNCS, vol. 4986, pp. 119–139. Springer, Heidelberg (2008)

    Chapter  Google Scholar 

  26. Yin, R., Yuan, J., Yang, Q., et al.: Linear cryptanalysis for a chaos-based stream cipher. In: International Conference on Communications, Information and Network Security 2009 (2009)

    Google Scholar 

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Yin, R., Yuan, J., Yang, Q., Shan, X., Wang, X. (2010). Gemstone: A New Stream Cipher Using Coupled Map Lattice. In: Bao, F., Yung, M., Lin, D., Jing, J. (eds) Information Security and Cryptology. Inscrypt 2009. Lecture Notes in Computer Science, vol 6151. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-16342-5_15

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  • DOI: https://doi.org/10.1007/978-3-642-16342-5_15

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-16341-8

  • Online ISBN: 978-3-642-16342-5

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