International Association for Cryptologic Research

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Paper: Linear Cryptanalysis of FF3-1 and FEA

Authors:
Tim Beyne , imec-COSIC, ESAT, KU Leuven
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Presentation: Slides
Conference: CRYPTO 2021
Abstract: Improved attacks on generic small-domain Feistel ciphers with alternating round tweaks are obtained using linear cryptanalysis. This results in practical distinguishing and message-recovery attacks on the United States format-preserving encryption standard FF3-1 and the South-Korean standards FEA-1 and FEA-2. The data-complexity of the proposed attacks on FF3-1 and FEA-1 is $O(N^{r/2 - 1.5})$, where $N^2$ is the domain size and $r$ is the number of rounds. For example, FF3-1 with $N = 10^3$ can be distinguished from an ideal tweakable block cipher with advantage $\ge 1/10$ using $2^{23}$ encryption queries. Recovering the left half of a message with similar advantage requires $2^{24}$ data. The analysis of FF3-1 serves as an interesting real-world application of (generalized) linear cryptanalysis over the group $\mathbb{Z}/N\mathbb{Z}$.
Video from CRYPTO 2021
BibTeX
@inproceedings{crypto-2021-31097,
  title={Linear Cryptanalysis of FF3-1 and FEA},
  publisher={Springer-Verlag},
  author={Tim Beyne},
  year=2021
}