Abstract
The differential-linear connectivity table (DLCT) of a vectorial Boolean function was recently introduced by Bar-On et al. at EUROCRYPT’19. In this paper we construct a new class of balanced vectorial Boolean functions with very low differential-linear uniformity and provide a combinatorial count of hardware gates which is required to implement such circuits. Here, all the coordinate functions are constructed by modifying the Maiorana-McFarland bent functions. Further, we derive some properties of DLCT and differential-linear uniformity of modified inverse functions.
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Acknowledgments
We would like to thank the anonymous reviewers of Indocrypt 2019 for their valuable suggestions and comments, which considerably improved the quality of our paper. The work of Deng Tang was supported by the National Natural Science Foundation of China (grants 61872435 and 61602394).
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Tang, D., Mandal, B., Maitra, S. (2019). Vectorial Boolean Functions with Very Low Differential-Linear Uniformity Using Maiorana-McFarland Type Construction. In: Hao, F., Ruj, S., Sen Gupta, S. (eds) Progress in Cryptology – INDOCRYPT 2019. INDOCRYPT 2019. Lecture Notes in Computer Science(), vol 11898. Springer, Cham. https://doi.org/10.1007/978-3-030-35423-7_17
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