Paper 2021/815
Linear Cryptanalysis of FF3-1 and FEA
Tim Beyne
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 $\mathbb{Z}/N\mathbb{Z}$.
Metadata
- Available format(s)
- Category
- Secret-key cryptography
- Publication info
- Published by the IACR in CRYPTO 2021
- Keywords
- Linear cryptanalysisFormat-preserving encryptionFF3-1FEA-1FEA-2
- Contact author(s)
- tim beyne @ esat kuleuven be
- History
- 2021-06-16: received
- Short URL
- https://ia.cr/2021/815
- License
-
CC BY