Paper 2011/191 Original: eprint.iacr.org/2011/191 ↗
On the Security of the Winternitz One-Time Signature Scheme
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.
Metadata
- Available format(s)
PDF- Category
- Public-key cryptography
- Publication info
- Preprint.
- History
- 2017-09-28: last updated
- 2011-04-16: published
- Short URL
- https://ia.cr/2011/191
- License
- https://creativecommons.org/licenses/by/4.0/
BibTeX
@misc{cryptoeprint:2011/191,
author = {Johannes Buchmann and Erik Dahmen and Sarah Ereth and Andreas Hülsing and Markus Rückert},
title = {On the Security of the Winternitz One-Time Signature Scheme},
howpublished = {Cryptology {ePrint} Archive, Paper 2011/191},
year = {2011},
url = {https://eprint.iacr.org/2011/191}
}