On the security of the Winternitz one-time signature scheme

Johannes Buchmann; Erik Dahmen; Sarah Ereth; Andreas Hülsing; Markus Rückert

doi:10.1007/978-3-642-21969-6_23

On the security of the Winternitz one-time signature scheme

Johannes Buchmann, Erik Dahmen, Sarah Ereth, Andreas Hülsing, Markus Rückert

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

57 Citations (Scopus)

Abstract

We show that the Winternitz one-time signature scheme is existentially unforgeable under adaptive chosen message attacks when instantiated with a family of pseudo random functions. Compared to previous results, which require a collision resistant hash function, our result provides significantly smaller signatures at the same security level. We also consider security in the strong sense and show that the Winternitz one-time signature scheme is strongly unforgeable assuming additional properties of the pseudo random function. In this context we formally define several key-based security notions for function families and investigate their relation to pseudorandomness. All our reductions are exact and in the standard model and can directly be used to estimate the output length of the hash function required to meet a certain security level.

Original language	English
Title of host publication	Progress in Cryptology – AFRICACRYPT 2011
Subtitle of host publication	4th International Conference on Cryptology in Africa, Dakar, Senegal, July 5-7, 2011 Proceedings
Editors	A. Nitaj, D. Pointcheval
Place of Publication	Berlin
Publisher	Springer
Pages	363-378
Number of pages	16
ISBN (Print)	9783642219689
DOIs	https://doi.org/10.1007/978-3-642-21969-6_23
Publication status	Published - 2011
Event	4th International Conference on the Theory and Application of Cryptographic Techniques in Africa (Africacrypt 2011) - Dakar, Senegal Duration: 5 Jul 2011 → 7 Jul 2011 Conference number: 4

Publication series

Name	Lecture Notes in Computer Science
Volume	6737
ISSN (Print)	03029743
ISSN (Electronic)	16113349

Conference

Conference	4th International Conference on the Theory and Application of Cryptographic Techniques in Africa (Africacrypt 2011)
Abbreviated title	Africacrypt 2011
Country/Territory	Senegal
City	Dakar
Period	5/07/11 → 7/07/11

Keywords

Hash-based signatures
post-quantum signatures
pseudorandom functions
security reductions

Access to Document

10.1007/978-3-642-21969-6_23

Cite this

Buchmann, J., Dahmen, E., Ereth, S., Hülsing, A., & Rückert, M. (2011). On the security of the Winternitz one-time signature scheme. In A. Nitaj, & D. Pointcheval (Eds.), Progress in Cryptology – AFRICACRYPT 2011 : 4th International Conference on Cryptology in Africa, Dakar, Senegal, July 5-7, 2011 Proceedings (pp. 363-378). (Lecture Notes in Computer Science; Vol. 6737). Springer. https://doi.org/10.1007/978-3-642-21969-6_23

Buchmann, Johannes ; Dahmen, Erik ; Ereth, Sarah et al. / On the security of the Winternitz one-time signature scheme. Progress in Cryptology – AFRICACRYPT 2011 : 4th International Conference on Cryptology in Africa, Dakar, Senegal, July 5-7, 2011 Proceedings. editor / A. Nitaj ; D. Pointcheval. Berlin : Springer, 2011. pp. 363-378 (Lecture Notes in Computer Science).

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abstract = "We show that the Winternitz one-time signature scheme is existentially unforgeable under adaptive chosen message attacks when instantiated with a family of pseudo random functions. Compared to previous results, which require a collision resistant hash function, our result provides significantly smaller signatures at the same security level. We also consider security in the strong sense and show that the Winternitz one-time signature scheme is strongly unforgeable assuming additional properties of the pseudo random function. In this context we formally define several key-based security notions for function families and investigate their relation to pseudorandomness. All our reductions are exact and in the standard model and can directly be used to estimate the output length of the hash function required to meet a certain security level.",

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Buchmann, J, Dahmen, E, Ereth, S, Hülsing, A & Rückert, M 2011, On the security of the Winternitz one-time signature scheme. in A Nitaj & D Pointcheval (eds), Progress in Cryptology – AFRICACRYPT 2011 : 4th International Conference on Cryptology in Africa, Dakar, Senegal, July 5-7, 2011 Proceedings. Lecture Notes in Computer Science, vol. 6737, Springer, Berlin, pp. 363-378, 4th International Conference on the Theory and Application of Cryptographic Techniques in Africa (Africacrypt 2011), Dakar, Senegal, 5/07/11. https://doi.org/10.1007/978-3-642-21969-6_23

On the security of the Winternitz one-time signature scheme. / Buchmann, Johannes; Dahmen, Erik; Ereth, Sarah et al.

Progress in Cryptology – AFRICACRYPT 2011 : 4th International Conference on Cryptology in Africa, Dakar, Senegal, July 5-7, 2011 Proceedings. ed. / A. Nitaj; D. Pointcheval. Berlin : Springer, 2011. p. 363-378 (Lecture Notes in Computer Science; Vol. 6737).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

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AB - We show that the Winternitz one-time signature scheme is existentially unforgeable under adaptive chosen message attacks when instantiated with a family of pseudo random functions. Compared to previous results, which require a collision resistant hash function, our result provides significantly smaller signatures at the same security level. We also consider security in the strong sense and show that the Winternitz one-time signature scheme is strongly unforgeable assuming additional properties of the pseudo random function. In this context we formally define several key-based security notions for function families and investigate their relation to pseudorandomness. All our reductions are exact and in the standard model and can directly be used to estimate the output length of the hash function required to meet a certain security level.

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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, editors, Progress in Cryptology – AFRICACRYPT 2011 : 4th International Conference on Cryptology in Africa, Dakar, Senegal, July 5-7, 2011 Proceedings. Berlin: Springer. 2011. p. 363-378. (Lecture Notes in Computer Science). doi: 10.1007/978-3-642-21969-6_23

On the security of the Winternitz one-time signature scheme

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