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.
翻译:量子进入安全,即攻击者被授予超位进入密闭功能的机会,是一种基本的安全模式,其研究激发了量子后安全的结果。 我们重新审视并填补了对亚拉吉奇等人(2020年欧洲加密)在量子随机粒子模型(QROM)中的Lamport一次性签字计划(OTS)的量子进入安全分析(OTS ) 。 接着我们又将这一技术推广到Winternitz OTS。 同时,我们根据Zhandry(Crypto 2019)的叠加法技术(Crypto 2019)开发了一个工具,用于分析QROM中的散货链,该技术可能具有独立的兴趣。