Abstract
In this paper, we propose a new password-based authenticated key exchange (PAKE) protocol and prove its security within the universal composability (UC) framework. The security proof of this protocol is based on standard number-theoretic assumptions, i.e., without random oracle or ideal cipher assumption. Comparisons show that, our protocol is more efficient than Canetti et al.’s protocol, which is the most efficient two party PAKE protocol proven secure in the UC framework and based on standard number-theoretic assumptions. More specifically, our protocol saves 1 round of communication and 5 modular exponentiations when the underlying cryptosystem is instantiated with Cramer-Shoup public key cryptosystem. Moreover, our protocol avoids the usage of the one-time signature, which saves the bandwidth for transmitting the message and saves the computation for signature and verification.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Similar content being viewed by others
References
Abdalla, M., Catalano, D., Chevalier, C., Pointcheval, D.: Efficient two-party password-based key exchange protocols in the UC framework. In: Malkin, T.G. (ed.) CT-RSA 2008. LNCS, vol. 4964, pp. 335–351. Springer, Heidelberg (2008)
Abadalla, M., Fouque, P., Pointcheval, D.: Password-based authenticated key exchange in the three-party setting. In: Vaudenay, S. (ed.) PKC 2005. LNCS, vol. 3386, pp. 65–84. Springer, Heidelberg (2005)
Bellare, M., Pointcheval, D., Rogaway, P.: Authenticated key exchange secure against dictionary attack. In: Preneel, B. (ed.) EUROCRYPT 2000. LNCS, vol. 1807, pp. 139–155. Springer, Heidelberg (2000)
Boyko, V., MacKenzie, P., Patel, S.: Provably secure password-authenticated key exchange using Diffie-Hellman. In: Preneel, B. (ed.) EUROCRYPT 2000. LNCS, vol. 1807, pp. 156–171. Springer, Heidelberg (2000)
Bresson, E., Chevassut, O., Pointcheval, D.: Security proofs for an efficient password-based key exchange. In: Proc. of the 10th ACM Conference on Computer and Communications Security, pp. 241–250 (2003)
Canetti, R.: Universally composable security: a new paradigm for cryptographic protocols. In: Proc. of 42nd IEEE Symposium on Foundations of Computer Science, pp. 136–145 (2001)
Canetti, R., Halevi, S., Katz, J., Lindell, Y., MacKenzie, P.: Universally composable password-based key exchange. In: Cramer, R. (ed.) EUROCRYPT 2005. LNCS, vol. 3494, pp. 404–421. Springer, Heidelberg (2005)
Canetti, R., Rabin, T.: Universal composition with joint state. In: Boneh, D. (ed.) CRYPTO 2003. LNCS, vol. 2729, pp. 265–281. Springer, Heidelberg (2003)
Carter, J.L., Wegman, M.N.: Universal classes of hash functions. Journal of Computer and System Sciences (18), 143–154 (1979)
Cramer, R., Shoup, V.: A practical public-key cryptosystem secure against adaptive chosen ciphertexts attacks. In: Krawczyk, H. (ed.) CRYPTO 1998. LNCS, vol. 1462, pp. 13–25. Springer, Heidelberg (1998)
Cramer, R., Shoup, V.: Universal hash proofs and a paradigm for adaptive chosen ciphertext secure public-key encryption. In: Knudsen, L.R. (ed.) EUROCRYPT 2002. LNCS, vol. 2332, pp. 45–64. Springer, Heidelberg (2002)
Dolev, D., Dwork, C., Naor, M.: Non-malleable cryptography. SIAM Journal of Computing 30(2), 391–437 (1999)
Even, S., Goldreich, O., Micali, S.: On-line/off-line digital signature. Journal of Gryptography (9), 35–67 (1996)
Garay, J., MacKenzie, P., Yang, K.: Strengthening zero-knowledge protocols using signatures. In: Biham, E. (ed.) EUROCRYPT 2003. LNCS, vol. 2656, pp. 177–194. Springer, Heidelberg (2003)
Gennaro, R.: Faster and shorter password-authenticated key exchange. In: Canetti, R. (ed.) TCC 2008. LNCS, vol. 4948, pp. 589–606. Springer, Heidelberg (2008)
Gennaro, R., Lindell, Y.: A framework for password-based authenticated key exchange. In: Biham, E. (ed.) EUROCRYPT 2003. LNCS, vol. 2656, pp. 524–543. Springer, Heidelberg (2003)
Hastad, J., Impagliazzo, R., Levin, L.A., Luby, M.: A pseudorandom generator from any one-way function. SIAM Journal on Computing 28(4), 1364–1396 (1999)
Jiang, S., Gong, G.: Password based key exchange with mutual authentication. In: Handschuh, H., Hasan, M.A. (eds.) SAC 2004. LNCS, vol. 3357, pp. 267–279. Springer, Heidelberg (2004)
Katz, J., Ostrovsky, R., Yung, M.: Efficient password based authenticated key exchange using human memorable passwords. In: Pfitzmann, B. (ed.) EUROCRYPT 2001. LNCS, vol. 2045, pp. 475–494. Springer, Heidelberg (2001)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2010 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Hu, X., Liu, W. (2010). Efficient Password-Based Authenticated Key Exchange Protocol in the UC Framework. 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_11
Download citation
DOI: https://doi.org/10.1007/978-3-642-16342-5_11
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-16341-8
Online ISBN: 978-3-642-16342-5
eBook Packages: Computer ScienceComputer Science (R0)