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DOI: 10.4230/LIPIcs.ITC.2021.21
Quantum-Access Security of the Winternitz One-Time Signature Scheme

Authors: Christian Majenz, Chanelle Matadah Manfouo, and Maris Ozols

Published in: LIPIcs, Volume 199, 2nd Conference on Information-Theoretic Cryptography (ITC 2021)

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.
Cite as

Christian Majenz, Chanelle Matadah Manfouo, and Maris Ozols. Quantum-Access Security of the Winternitz One-Time Signature Scheme. In 2nd Conference on Information-Theoretic Cryptography (ITC 2021). Leibniz International Proceedings in Informatics (LIPIcs), Volume 199, pp. 21:1-21:22, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2021)

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@InProceedings{majenz_et_al:LIPIcs.ITC.2021.21,
  author =	{Majenz, Christian and Manfouo, Chanelle Matadah and Ozols, Maris},
  title =	{{Quantum-Access Security of the Winternitz One-Time Signature Scheme}},
  booktitle =	{2nd Conference on Information-Theoretic Cryptography (ITC 2021)},
  pages =	{21:1--21:22},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-197-9},
  ISSN =	{1868-8969},
  year =	{2021},
  volume =	{199},
  editor =	{Tessaro, Stefano},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops-dev.dagstuhl.de/entities/document/10.4230/LIPIcs.ITC.2021.21},
  URN =		{urn:nbn:de:0030-drops-143406},
  doi =		{10.4230/LIPIcs.ITC.2021.21},
  annote =	{Keywords: quantum cryptography, one-time signature schemes, quantum random oracle model, post-quantum cryptography, quantum world, hash-based signatures, information-theoretic security}
}
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