Authenticated Key Exchange Protocol in One-Round

  • Xing-Lan Zhang
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 5574)

Abstract

The Key-exchange protocol is one of the most basic and widely used cryptographic protocols in internet for secure communication. In a two-party setting, cryptographic protocol design has often ignored the possibility of simultaneous message transmission by each of the two parties. Most protocols for two-party have been designed assuming that parties alternate sending their messages. We present two provably-secure protocols for two-party authenticated key exchange (AKE) which require not only a single round, but more efficient message transmission (from a computational perspective). The protocol provides Implicit Authentication, key independence and forward secrecy, and is analyzed in the standard model. The protocols are the first provably-secure one-round protocol for authenticated 2-party key exchange in the standard model that the message lengths are equal to the basic protocol.

Keywords

Authenticated key exchange Forward secrecy Round complexity Diffie-Hellman key exchange 

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References

  1. 1.
    Ankney, R., Johnson, D., Matyas, M.: The Unified Model. Contribution to ANSI X9F1 (October 1995)Google Scholar
  2. 2.
    Ateniese, G., Steiner, M., Tsudik, G.: New Multi-Party Authentication Services and Key Agreement Protocols. IEEE Journal of Selected Areas in Communications 18(4), 628–639 (2000)CrossRefGoogle Scholar
  3. 3.
    Bellare, M., Canetti, R., Krawczyk, H.: A Modular Approach to the Design and Analysis of Authentication and Key Exchange Protocols. In: Proc. 30th Annual Symposium on the Theory of Computing, pp. 419–428. ACM Press, New York (1998)Google Scholar
  4. 4.
    Jeong, I.R., Katz, J., Lee, D.H.: One-Round Protocols for Two-Party Authenticated Key Exchange. In: Jakobsson, M., Yung, M., Zhou, J. (eds.) ACNS 2004. LNCS, vol. 3089, pp. 220–232. Springer, Heidelberg (2004)CrossRefGoogle Scholar
  5. 5.
    Bird, R., Gopal, I., Herzberg, A., Janson, P., Kutten, S., Molva, R., Yung, M.: Systematic Design of Two-Party Authentication Protocols. IEEE Journal on Selected Areas in Communications 11(5), 679–693 (1993)CrossRefGoogle Scholar
  6. 6.
    Blake-Wilson, S., Johnson, D., Menezes, A.: Key Agreement Protocols and their Security Analysis. In: Sixth IMA International Conference on Cryptography and Coding, vol. 1335, pp. 30–45. ACM, New York (1997)Google Scholar
  7. 7.
    Blake-Wilson, S., Menezes, A.: Authenticated Diffie-Hellman Key Agreement Protocols. Selected Areas in Cryptography. In: Tavares, S., Meijer, H. (eds.) SAC 1998. LNCS, vol. 1556, pp. 339–361. Springer, Heidelberg (1999)CrossRefGoogle Scholar
  8. 8.
    Boyd, C.: On Key Agreement and Conference Key Agreement. In: Mu, Y., Pieprzyk, J.P., Varadharajan, V. (eds.) ACISP 1997. LNCS, vol. 1270, pp. 294–302. Springer, Heidelberg (1997)CrossRefGoogle Scholar
  9. 9.
    Boyd, C., Nieto, J.M.G.: Round-Optimal Contributory Conference Key Agreement. In: Desmedt, Y.G. (ed.) PKC 2003. LNCS, vol. 2567, pp. 161–174. Springer, Heidelberg (2003)CrossRefGoogle Scholar
  10. 10.
    Bresson, E., Chevassut, O., Pointcheval, D.: Provably Authenticated Group Diffie-Hellman Key Exchange — The Dynamic Case. In: Boyd, C. (ed.) ASIACRYPT 2001. LNCS, vol. 2248, pp. 290–309. Springer, Heidelberg (2001)CrossRefGoogle Scholar
  11. 11.
    Bresson, E., Chevassut, O., Pointcheval, D.: Dynamic Group Diffie-Hellman Key Exchange under Standard Assumptions. In: Knudsen, L.R. (ed.) EUROCRYPT 2002. LNCS, vol. 2332, pp. 321–336. Springer, Heidelberg (2002)CrossRefGoogle Scholar
  12. 12.
    Bresson, E., Chevassut, O., Pointcheval, D., Quisquater, J.-J.: Provably Authenticated Group Diffie-Hellman Key Exchange. In: ACM Conference on Computer and Communications Security, pp. 255–264 (2001)Google Scholar
  13. 13.
    Katz, J., Yung, M.: Scalable Protocols for Authenticated Group Key Exchange. J. Cryptology 20, 85–113 (2007)MathSciNetCrossRefMATHGoogle Scholar
  14. 14.
    Canetti, R., Krawczyk, H.: Universally Composable Notions of Key Exchange and Secure Channels. In: Knudsen, L.R. (ed.) EUROCRYPT 2002. LNCS, vol. 2332, pp. 337–351. Springer, Heidelberg (2002)CrossRefGoogle Scholar
  15. 15.
    Denning, D., Sacco, G.M.: Timestamps in Key Distribution Protocols. Comm. ACM 24(8), 533–536 (1981)CrossRefGoogle Scholar
  16. 16.
    Diffie, W., Hellman, M.: New Directions in Cryptography. IEEE Transactions on Information Theory 22(6), 644–654 (1976)MathSciNetCrossRefMATHGoogle Scholar
  17. 17.
    Diffie, W., van Oorschot, P., Wiener, M.: Authentication and Authenticated Key Exchanges. Designs, Codes, and Cryptography 2(2), 107–125 (1992)MathSciNetCrossRefGoogle Scholar
  18. 18.
    Ingemarasson, I., Tang, D.T., Wong, C.K.: A Conference Key Distribution System. IEEE Transactions on Information Theory 28(5), 714–720 (1982)MathSciNetCrossRefMATHGoogle Scholar
  19. 19.
    Shoup, V.: Lower Bounds for Discrete Logarithms and Related Problems. In: Fumy, W. (ed.) EUROCRYPT 1997. LNCS, vol. 1233, pp. 256–266. Springer, Heidelberg (1997)CrossRefGoogle Scholar
  20. 20.
    Just, M., Vaudenay, S.: Authenticated Multi-Party Key Agreement. In: Kim, K.-c., Matsumoto, T. (eds.) ASIACRYPT 1996. LNCS, vol. 1163, pp. 36–49. Springer, Heidelberg (1996)CrossRefGoogle Scholar
  21. 21.
    Katz, J., Yung, M.: Scalable protocols for authenticated group key exchange. In: Boneh, D. (ed.) CRYPTO 2003. LNCS, vol. 2729, pp. 110–125. Springer, Heidelberg (2003)CrossRefGoogle Scholar
  22. 22.
    Law, L., Menezes, A., Qu, M., Solinas, J., Vanstone, S.: An Efficient Protocol for Authenticated Key Agreement. Technical report CORR 98-05, University of Waterloo (1988)Google Scholar
  23. 23.
    Matsumoto, T., Takashima, Y., Imai, H.: On Seeking Smart Public-Key Distribution Systems. The Transactions of the IECE of Japan E69, 99–106 (1986)Google Scholar
  24. 24.
    National Security Agency. SKIPJACK and KEA algorithm specification. Version 2.0, May 29 (1998)Google Scholar
  25. 25.
    Shoup, V.: On Formal Models for Secure Key Exchange, http://eprint.iacr.org
  26. 26.
    Steiner, M., Tsudik, G., Waidner, M.: Diffie-Hellman Key Distribution Extended to Group Communication. In: ACM Conference on Computer and Communications Security, pp. 31–37 (1996)Google Scholar
  27. 27.
    Tzeng, W.-G.: A Practical and Secure-Fault-Tolerant Conference-Key Agreement Protocol. In: Imai, H., Zheng, Y. (eds.) PKC 2000. LNCS, vol. 1751, pp. 1–13. Springer, Heidelberg (2000)CrossRefGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2009

Authors and Affiliations

  • Xing-Lan Zhang
    • 1
  1. 1.College of Computer Science and TechnologyBeijing University of TechnologyBeijingChina

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