Cryptology ePrint Archive: Report 2021/387

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

Christian Majenz and Chanelle Matadah Manfouo and 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.

Category / Keywords: public-key cryptography / quantum, quantum access model, unforgeability, one-time signatures, hash-based signature, Lamport, Winternitz

Date: received 23 Mar 2021

Contact author: christian majenz at gmail com,cmatadah@quantumleapafrica org,marozols@gmail com

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Version: 20210327:071245 (All versions of this report)

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