Abstract
We propose a new construction for Merkle authentication trees which does not require collision resistant hash functions; in contrast with previous constructions that attempted to avoid the dependency on collision resistance, our technique enjoys provable security assuming the well-understood notion of second-preimage resistance. The resulting signature scheme is existentially unforgeable when the underlying hash function is second-preimage resistant, yields shorter signatures, and is affected neither by birthday attacks nor by the recent progresses in collision-finding algorithms.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Bellare, M., Rogaway, P.: Collision-resistant hashing: Towards making UOWHFs practical. In: Kaliski Jr., B.S. (ed.) CRYPTO 1997. LNCS, vol. 1294, pp. 470–484. Springer, Heidelberg (1997)
Dods, C., Smart, N., Stam, M.: Hash based digital signature schemes. In: Smart, N. (ed.) Cryptography and Coding 2005. LNCS, vol. 3796, pp. 96–115. Springer, Heidelberg (2005)
García, L.C.C.: On the security and the efficiency of the merkle signature scheme. Cryptology ePrint Archive, Report 2005/192 (2005), http://eprint.iacr.org/
Goldwasser, S., Micali, S., Rivest, R.L.: A digital signature scheme secure against adaptive chosen-message attacks. SIAM Journal on Computing 17(2), 281–308 (1988)
Halevi, S., Krawczyk, H.: Strengthening digital signatures via randomized hashing. In: Dwork, C. (ed.) CRYPTO 2006. LNCS, vol. 4117, pp. 41–59. Springer, Heidelberg (2006)
Lamport, L.: Constructing digital signatures from a one way function. Technical Report SRI-CSL-98, SRI International Computer Science Laboratory (1979)
Merkle, R.C.: A certified digital signature. In: Brassard, G. (ed.) CRYPTO 1989. LNCS, vol. 435, pp. 218–238. Springer, Heidelberg (1990)
Naor, D., Shenhav, A., Wool, A.: One-time signatures revisited: Have they become practical. Cryptology ePrint Archive, Report 2005/442 (2005), http://eprint.iacr.org/
Naor, M., Yung, M.: Universal one-way hash functions and their cryptographic applications. In: 21st Annual ACM Symposium on Theory of Computing - STOC 1989, pp. 33–43. ACM Press, New York (1989)
Rogaway, P., Shrimpton, T.: Cryptographic hash-function basics: Definitions, implications, and separations for preimage resistance, second-preimage resistance, and collision resistance. In: Roy, B., Meier, W. (eds.) FSE 2004. LNCS, vol. 3017, pp. 371–388. Springer, Heidelberg (2004)
Rohatgi, P.: A compact and fast hybrid signature scheme for multicast packet authentication. In: ACM Conference on Computer and Communications Security - CSS 1999, pp. 93–100. ACM Press, New York (1999)
Shoup, V.: A composition theorem for universal one-way hash functions. In: Preneel, B. (ed.) EUROCRYPT 2000. LNCS, vol. 1807, pp. 445–452. Springer, Heidelberg (2000)
Szydlo, M.: Merkle tree traversal in log space and time. In: Cachin, C., Camenisch, J.L. (eds.) EUROCRYPT 2004. LNCS, vol. 3027, pp. 541–554. Springer, Heidelberg (2004)
Wang, X., Yin, Y.L., Yu, H.: Finding collisions in the full SHA-1. In: Shoup, V. (ed.) CRYPTO 2005. LNCS, vol. 3621, pp. 17–36. Springer, Heidelberg (2005)
Wang, X., Yu, H.: How to break MD5 and other hash functions. In: Cramer, R. (ed.) EUROCRYPT 2005. LNCS, vol. 3494, pp. 19–35. Springer, Heidelberg (2005)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2008 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Dahmen, E., Okeya, K., Takagi, T., Vuillaume, C. (2008). Digital Signatures Out of Second-Preimage Resistant Hash Functions. In: Buchmann, J., Ding, J. (eds) Post-Quantum Cryptography. PQCrypto 2008. Lecture Notes in Computer Science, vol 5299. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-88403-3_8
Download citation
DOI: https://doi.org/10.1007/978-3-540-88403-3_8
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-88402-6
Online ISBN: 978-3-540-88403-3
eBook Packages: Computer ScienceComputer Science (R0)