Paper 2021/387 Original: eprint.iacr.org/2021/387 ↗

Quantum-access security of the Winternitz one-time signature scheme

Christian Majenz
Chanelle Matadah Manfouo
Maris Ozols
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.

Metadata
Available format(s)
PDF
Category
Public-key cryptography
Publication info
Preprint.
History
2021-06-24: last updated
2021-03-27: published
Short URL
https://ia.cr/2021/387
License
https://creativecommons.org/licenses/by/4.0/

BibTeX

@misc{cryptoeprint:2021/387,
      author = {Christian Majenz and Chanelle Matadah Manfouo and Maris Ozols},
      title = {Quantum-access security of the Winternitz one-time signature scheme},
      howpublished = {Cryptology {ePrint} Archive, Paper 2021/387},
      year = {2021},
      url = {https://eprint.iacr.org/2021/387}
}
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