International Association for Cryptologic Research

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Quantum Attacks on Hash Constructions with Low Quantum Random Access Memory

Authors:
Xiaoyang Dong , Tsinghua University, China
Shun Li , Nanyang Technological University
Phuong Pham , Nanyang Technological University
Guoyan Zhang , Shandong University, China
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Presentation: Slides
Conference: ASIACRYPT 2023
Abstract: At ASIACRYPT 2022, Benedikt, Fischlin, and Huppert proposed the quantum herding attacks on iterative hash functions for the first time. Their attack needs exponential quantum random access memory (qRAM), more precisely {$2^{0.43n}$} quantum accessible classical memory (QRACM). As the existence of large qRAM is questionable, Benedikt et al. leave an open question on building low-qRAM quantum herding attacks. In this paper, we answer this open question by building a quantum herding attack, where the time complexity is slightly increased from Benedikt et al.'s $2^{0.43n}$ to ours $2^{0.46n}$, but {it does not need qRAM anymore (abbreviated as no-qRAM)}. Besides, we also introduce various low-qRAM {or no-qRAM} quantum attacks on hash concatenation combiner, hash XOR combiner, Hash-Twice, and Zipper hash functions.
BibTeX
@inproceedings{asiacrypt-2023-33383,
  title={Quantum Attacks on Hash Constructions with Low Quantum Random Access Memory},
  publisher={Springer-Verlag},
  author={Xiaoyang Dong and Shun Li and Phuong Pham and Guoyan Zhang},
  year=2023
}