Skip to main content

Stronger Security of Authenticated Key Exchange

  • Conference paper
Provable Security (ProvSec 2007)

Part of the book series: Lecture Notes in Computer Science ((LNSC,volume 4784))

Included in the following conference series:

Abstract

Recent work by Krawczyk [12] and Menezes [16] has highlighted the importance of understanding well the guarantees and limitations of formal security models when using them to prove the security of protocols. In this paper we focus on security models for authenticated key exchange (AKE) protocols. We observe that there are several classes of attacks on AKE protocols that lie outside the scope of the Canetti-Krawczyk model. Some of these additional attacks have already been considered by Krawczyk [12]. In an attempt to bring these attacks within the scope of the security model we extend the Canetti-Krawczyk model for AKE security by providing significantly greater powers to the adversary. Our contribution is a more compact, integrated, and comprehensive formulation of the security model. We then introduce a new AKE protocol called NAXOS and prove that it is secure against these stronger adversaries.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Bellare, M., Palacio, A.: The Knowledge-of-Exponent Assumptions and 3-Round Zero-Knowledge Protocols. In: Franklin, M. (ed.) CRYPTO 2004. LNCS, vol. 3152, pp. 273–289. Springer, Heidelberg (2004)

    Google Scholar 

  2. Bellare, M., Pointcheval, D., Rogaway, P.: Authenticated Key Exchange Secure Against Dictionary Attacks. In: Preneel, B. (ed.) EUROCRYPT 2000. LNCS, vol. 1807, pp. 139–155. Springer, Heidelberg (2000)

    Chapter  Google Scholar 

  3. Bellare, M., Rogaway, P.: Entity Authentication and Key Distribution. In: Stinson, D.R. (ed.) CRYPTO 1993. LNCS, vol. 773, pp. 110–125. Springer, Heidelberg (1994)

    Google Scholar 

  4. Bellare, M., Rogaway, P.: Random Oracles are Practical: A Paradigm for Designing Efficient Protocols. ACM Conference on Computer and Communications Security, 62–73 (1993)

    Google Scholar 

  5. Bellare, M., Rogaway, P.: Provably Secure Session Key Distribution: the Three Party Case. In: STOC 1995. Proc. 27th Annual Symposium on the Theory of Computing, ACM Press, New York (1995)

    Google Scholar 

  6. Bellare, M., Rogaway, P.: Introduction to Modern Cryptography. Course notes for UCSD cryptography course, available at http://wwwcse.ucsd.edu/users/mihir/cse207/classnotes.html

  7. Blake-Wilson, S., Johnson, D., Menezes, A.: Key Agreement Protocols and their Security Analysis. In: Darnell, M. (ed.) Cryptography and Coding. LNCS, vol. 1355, pp. 30–45. Springer, Heidelberg (1997)

    Chapter  Google Scholar 

  8. Choo, K.-K.R., Boyd, C., Hitchcock, Y.: Errors in Computational Complexity Proofs for Protocols. In: Roy, B. (ed.) ASIACRYPT 2005. LNCS, vol. 3788, pp. 624–643. Springer, Heidelberg (2005)

    Chapter  Google Scholar 

  9. Choo, K.-K.R., Boyd, C., Hitchcock, Y.: Examining Indistinguishability-Based Proof Models for Key Establishment Protocols. In: Roy, B. (ed.) ASIACRYPT 2005. LNCS, vol. 3788, pp. 585–604. Springer, Heidelberg (2005)

    Chapter  Google Scholar 

  10. Choo, K.-K.R.: A Proof of Revised Yahalom Protocol in the Bellare and Rogaway (1993) Model. The Computer Journal, Oxford University; also available at Cryptology ePrint Archive: Report 2007/188 ( to appear, 2007)

    Google Scholar 

  11. Canetti, R., Krawczyk, H.: Analysis of Key-Exchange Protocols and Their Use for Building Secure Channels. In: Pfitzmann, B. (ed.) EUROCRYPT 2001. LNCS, vol. 2045, pp. 453–474. Springer, Heidelberg (2001)

    Chapter  Google Scholar 

  12. Krawczyk, H.: HMQV: A High-Performance Secure Diffie-Hellman Protocol. In: Shoup, V. (ed.) CRYPTO 2005. LNCS, vol. 3621, pp. 546–566. Springer, Heidelberg (2005)

    Google Scholar 

  13. 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, Springer, Heidelberg (2004)

    Google Scholar 

  14. Kudla, C., Paterson, K.G.: Modular Security Proofs for Key Agreement Protocols. In: Roy, B. (ed.) ASIACRYPT 2005. LNCS, vol. 3788, pp. 549–565. Springer, Heidelberg (2005)

    Chapter  Google Scholar 

  15. Lauter, K., Mityagin, A.: Security Analysis of KEA Authenticated Key Exchange. In: Yung, M., Dodis, Y., Kiayias, A., Malkin, T.G. (eds.) PKC 2006. LNCS, vol. 3958, pp. 378–394. Springer, Heidelberg (2006)

    Chapter  Google Scholar 

  16. Menezes, A.: Another look at HMQV. Journal of Mathematical Cryptology (to appear)

    Google Scholar 

  17. Okamoto, T., Pointcheval, D.: The Gap Problems: A New Class of Problems for the Security of Cryptographic Schemes. In: Kim, K.-c. (ed.) PKC 2001. LNCS, vol. 1992, pp. 104–118. Springer, Heidelberg (2001)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Willy Susilo Joseph K. Liu Yi Mu

Rights and permissions

Reprints and permissions

Copyright information

© 2007 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

LaMacchia, B., Lauter, K., Mityagin, A. (2007). Stronger Security of Authenticated Key Exchange. In: Susilo, W., Liu, J.K., Mu, Y. (eds) Provable Security. ProvSec 2007. Lecture Notes in Computer Science, vol 4784. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-75670-5_1

Download citation

  • DOI: https://doi.org/10.1007/978-3-540-75670-5_1

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-75669-9

  • Online ISBN: 978-3-540-75670-5

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics