Paper 2021/554

Grover on Caesar and Vigenère Ciphers

Gyeongju Song, Kyungbae Jang, Hyunji Kim, Wai-Kong Lee, and Hwajeong Seo

Abstract

Quantum computers can solve or accelerate specific problems that were not possible with classical computers. Grover's search algorithm, a representative quantum algorithm, finds a specific solution from $N$ unsorted data with $O(\sqrt{N})$ queries. This quantum algorithm can be used to recover the key of symmetric cryptography. In this paper, we present a practical quantum attack using Grover's search to recover the key of ciphers ({\tt Caesar} and {\tt Vigenère}). The proposed quantum attack is simulated with quantum programming tools (ProjectQ and Qiskit) provided by IBM. Finally, we minimize the use of quantum resources and recover the key with a high probability.

Metadata
Available format(s)
PDF
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Implementation
Publication info
Preprint. MINOR revision.
Keywords
Quantum ComputersGrover's Search AlgorithmCaesar CipherVigenère Cipher
Contact author(s)
hwajeong84 @ gmail com
thdrudwn98 @ gmail com
starj1023 @ gmail com
khj1594012 @ gmail com
waikonglee @ gachon ac kr
History
2021-06-18: last of 2 revisions
2021-04-27: received
See all versions
Short URL
https://ia.cr/2021/554
License
Creative Commons Attribution
CC BY

BibTeX

@misc{cryptoeprint:2021/554,
      author = {Gyeongju Song and Kyungbae Jang and Hyunji Kim and Wai-Kong Lee and Hwajeong Seo},
      title = {Grover on Caesar and Vigenère Ciphers},
      howpublished = {Cryptology {ePrint} Archive, Paper 2021/554},
      year = {2021},
      url = {https://eprint.iacr.org/2021/554}
}
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