Abstract
We present W-OTS+, a Winternitz type one-time signature scheme (W-OTS). We prove that W-OTS+ is strongly unforgeable under chosen message attacks in the standard model. Our proof is exact and tight. The first property allows us to compute the security of the scheme for given parameters. The second property allows for shorter signatures than previous proposals without lowering the security. This improvement in signature size directly carries over to all recent hash-based signature schemes. I.e. we can reduce the signature size by more than 50% for XMSS+ at a security level of 80 bits. As the main drawback of hash-based signature schemes is assumed to be the signature size, this is a further step in making hash-based signatures practical.
Keywords
- digital signatures
- one-time signature schemes
- hash-based signatures
- provable security
- hash functions
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References
Buchmann, J., Dahmen, E., Ereth, S., Hülsing, A., Rückert, M.: On the Security of the Winternitz One-Time Signature Scheme. In: Nitaj, A., Pointcheval, D. (eds.) AFRICACRYPT 2011. LNCS, vol. 6737, pp. 363–378. Springer, Heidelberg (2011)
Buchmann, J., Dahmen, E., Hülsing, A.: XMSS - A Practical Forward Secure Signature Scheme Based on Minimal Security Assumptions. In: Yang, B.-Y. (ed.) PQCrypto 2011. LNCS, vol. 7071, pp. 117–129. Springer, Heidelberg (2011)
Black, J.A., Rogaway, P., Shrimpton, T.: Black-box analysis of the block-cipher-based hash-function constructions from PGV. In: Yung, M. (ed.) CRYPTO 2002. LNCS, vol. 2442, pp. 320–335. Springer, Heidelberg (2002)
Dods, C., Smart, N.P., Stam, M.: Hash Based Digital Signature Schemes. In: Smart, N.P. (ed.) Cryptography and Coding 2005. LNCS, vol. 3796, pp. 96–115. Springer, Heidelberg (2005)
Hülsing, A., Busold, C., Buchmann, J.: Forward Secure Signatures on Smart Cards. In: Knudsen, L.R., Wu, H. (eds.) SAC 2012. LNCS, vol. 7707, pp. 66–80. Springer, Heidelberg (2013)
Håstad, J., Impagliazzo, R., Levin, L.A., Luby, M.: A pseudorandom generator from any one-way function. SIAM J. Comput. 28, 1364–1396 (1999)
Hevia, A., Micciancio, D.: The provable security of graph-based one-time signatures and extensions to algebraic signature schemes. In: Zheng, Y. (ed.) ASIACRYPT 2002. LNCS, vol. 2501, pp. 379–396. Springer, Heidelberg (2002)
Lenstra, A.K.: Key lengths. In: Contribution to The Handbook of Information Security (2004)
Matyas, S., Meyer, C., Oseas, J.: Generating strong one-way functions with cryptographic algorithms. IBM Technical Disclosure Bulletin 27, 5658–5659 (1985)
Rompel, J.: One-way functions are necessary and sufficient for secure signatures. In: STOC 1990: Proceedings of the Twenty-Second Annual ACM Symposium on Theory of Computing, pp. 387–394. ACM Press, New York (1990)
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Hülsing, A. (2013). W-OTS+ – Shorter Signatures for Hash-Based Signature Schemes. In: Youssef, A., Nitaj, A., Hassanien, A.E. (eds) Progress in Cryptology – AFRICACRYPT 2013. AFRICACRYPT 2013. Lecture Notes in Computer Science, vol 7918. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-38553-7_10
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DOI: https://doi.org/10.1007/978-3-642-38553-7_10
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