Quantum-Access Security of the Winternitz One-Time Signature Scheme

Open Access
Authors
Publication date 07-2021
Host editors
  • S. Tessaro
Book title 2nd Conference on Information-Theoretic Cryptography
Book subtitle ITC 2021, July 23-26, 2021, Virtual Conference
ISBN (electronic)
  • 9783959771979
Series Leibniz International Proceedings in Informatics
Article number 21
Number of pages 22
Publisher Saarbrücken/Wadern: Schloss Dagstuhl - Leibniz-Zentrum für Informatik
Organisations
  • Faculty of Science (FNWI) - Korteweg-de Vries Institute for Mathematics (KdVI)
  • Interfacultary Research - Institute for Logic, Language and Computation (ILLC)
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.
Document type Conference contribution
Language English
Published at https://doi.org/10.4230/LIPIcs.ITC.2021.21
Downloads
Quantum-Access Security of the Winternitz (Final published version)
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