Quantum-access security of the Winternitz one-time signature scheme
Quantum Physics
2021-08-06 v2 Cryptography and Security
Abstract
Quantum-access security, where an attacker is granted superposition access to secret-keyed functionalities, is a fundamental security model and its study has inspired results in post-quantum security. We revisit, and fill a gap in, the quantum-access security analysis of the Lamport one-time signature scheme (OTS) in the quantum random oracle model (QROM) by Alagic et al.~(Eurocrypt 2020). We then go on to generalize the technique to the Winternitz OTS. Along the way, we develop a tool for the analysis of hash chains in the QROM based on the superposition oracle technique by Zhandry (Crypto 2019) which might be of independent interest.
Keywords
Cite
@article{arxiv.2103.12448,
title = {Quantum-access security of the Winternitz one-time signature scheme},
author = {Christian Majenz and Chanelle Matadah Manfouo and Maris Ozols},
journal= {arXiv preprint arXiv:2103.12448},
year = {2021}
}
Comments
45 pages. v2: Full version accompanying published version, various improvements