Paper 2024/763

Differential Analysis of Feistel Ciphers Incorporating Ajtai SIS Hash Function

Yu Morishima, Tohoku Gakuin University
Masahiro Kaminaga, Tohoku Gakuin University
Abstract

This paper presents a framework for evaluating the differential cryptanalysis resistance of a Feistel cipher that uses Ajtai SIS hash function as its S-box. We derive an upper bound on the maximum differential probability and analyze the S-box output bias using a generalized extreme value (GEV) model. Simulation results indicate that practical security is achieved with 16 rounds for a 32-bit block and six for a 128-bit block.

Metadata
Available format(s)
PDF
Category
Secret-key cryptography
Publication info
Preprint.
Keywords
Feistel cipherShort integer solution problemDifferential cryptanalysis
Contact author(s)
morishima @ mail tohoku-gakuin ac jp
History
2025-03-11: last of 2 revisions
2024-05-19: received
See all versions
Short URL
https://ia.cr/2024/763
License
Creative Commons Attribution
CC BY

BibTeX

@misc{cryptoeprint:2024/763,
      author = {Yu Morishima and Masahiro Kaminaga},
      title = {Differential Analysis of Feistel Ciphers Incorporating Ajtai {SIS} Hash Function},
      howpublished = {Cryptology {ePrint} Archive, Paper 2024/763},
      year = {2024},
      url = {https://eprint.iacr.org/2024/763}
}
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