Abstract
Division property is a generalized integral property proposed by Todo in Eurocrypt 2015. Utilizing automated tools such as SAT and MILP, the complexity to search for integral distinguisher by division property was greatly reduced. Based on division property and automated tools, Derbez et al. obtained a 10-round integral distinguisher of RECTANGLE by considering the linear transformation of the input and output state bits of the cipher, which is one round longer than known integral distinguishers. In this paper, we further consider improved integral attack on block ciphers with Generalized Feistel Structure (GFS cipher) by considering the linear transformation of the S-boxes. Taking the 16-branch GFS cipher with 4-bit S-boxes as an example, using this improved method, we can increase the round of integral distinguishers by one round for many S-boxes. The result implies that ability to resist this improved integral attack should also be considered when designing corresponding GFS ciphers.
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Acknowledgements
We thank the anonymous reviewers for their careful reading of our paper and helpful comments. This research was supported by the National Natural Science Foundation of China (Nos. U1536101, 61521003) and the National cryptography Development Fund of China (Nos. MMJJ20180204, MMJJ20170103).
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Xu, Z., Xu, H., Lai, X. (2020). Improved Integral Attack on Generalized Feistel Cipher. In: Liu, Z., Yung, M. (eds) Information Security and Cryptology. Inscrypt 2019. Lecture Notes in Computer Science(), vol 12020. Springer, Cham. https://doi.org/10.1007/978-3-030-42921-8_28
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