Abstract
Maximal distance separable (MDS) matrices are used as optimal diffusion layers in many block ciphers and hash functions. Recently, the designers paid more attention to the lightweight MDS matrices because it can reduce the hardware resource. In this paper, we give a new method to construct the lightweight MDS matrices. We provide some theoretical results and two kinds of 4 × 4 lightweight Hankel MDS matrices. We also prove that the 2s × 2s involution Hankel MDS matrix does not exist in finite field. Furthermore, we searched the 4 × 4 Hankel MDS matrices over GL(4, F2) and GL(8, F2) that have the better s-XOR counts until now.
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Acknowledgements
This research is supported by the National Natural Science Foundation of China under Grant No. 61572174, Science Foundation Project of Hengyang Normal University No. 18D23, Hunan Province Special Funds of Central Government for Guiding Local Science and Technology Development No. 2018CT5001, Hunan Provincial Natural Science Foundation of China with Grant No. 2019JJ60004, the Science and Technology Plan Project of Hunan Province No. 2016TP1020, Subject group construction project of Hengyang Normal University No. 18XKQ02, Scientific Research Fund of Hunan Provincial Education Department No. 18C0678.
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Li, Q., Li, L., Zhang, J., Zhao, J., Li, K. (2021). Constructions of Lightweight MDS Diffusion Layers from Hankel Matrices. In: Liu, Q., Liu, X., Li, L., Zhou, H., Zhao, HH. (eds) Proceedings of the 9th International Conference on Computer Engineering and Networks . Advances in Intelligent Systems and Computing, vol 1143. Springer, Singapore. https://doi.org/10.1007/978-981-15-3753-0_54
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DOI: https://doi.org/10.1007/978-981-15-3753-0_54
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