Paper 2017/1199

Quantum Key-recovery Attack on Feistel Structures

Xiaoyang Dong and Xiaoyun Wang

Abstract

Post-quantum cryptography has drawn considerable attention from cryptologists on a global scale. At Asiacrypt 2017, Leander and May combined Grover's and Simon's quantum algorithms to break the FX-based block ciphers, which were introduced by Kilian and Rogaway to strengthen DES. In this study, we investigate the Feistel constructions using Grover's and Simon's algorithms to generate new quantum key-recovery attacks on different rounds of Feistel constructions. Our attacks require $2^{nr/4~-~3n/4}$ quantum queries to break an $r$-round Feistel construction. The time complexity of our attacks is less than that observed for quantum brute-force search by a factor of $2^{0.75n}$. When compared with the best classical attacks, i.e., Dinur \emph{et al.}'s attacks at CRYPTO 2015, the time complexity is reduced by a factor of $2^{0.5n}$ without incurring any memory cost.

Metadata
Available format(s)
PDF
Category
Secret-key cryptography
Publication info
Published elsewhere. SCIENCE CHINA Information Sciences
Keywords
Quantum cryptanalysisQuantum key-recoveryFeistel structureSimonGrover
Contact author(s)
xiaoyangdong @ tsinghua edu cn
History
2018-05-29: revised
2017-12-18: received
See all versions
Short URL
https://ia.cr/2017/1199
License
Creative Commons Attribution
CC BY

BibTeX

@misc{cryptoeprint:2017/1199,
      author = {Xiaoyang Dong and Xiaoyun Wang},
      title = {Quantum Key-recovery Attack on Feistel Structures},
      howpublished = {Cryptology ePrint Archive, Paper 2017/1199},
      year = {2017},
      note = {\url{https://eprint.iacr.org/2017/1199}},
      url = {https://eprint.iacr.org/2017/1199}
}
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