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Vectorial Boolean Functions with Very Low Differential-Linear Uniformity Using Maiorana-McFarland Type Construction

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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https://hal.inria.fr/hal-02374286
Contributor : Bimal Mandal <>
Submitted on : Thursday, November 21, 2019 - 2:17:24 PM
Last modification on : Friday, January 24, 2020 - 12:04:44 PM

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Deng Tang, Bimal Mandal, Subhamoy Maitra. Vectorial Boolean Functions with Very Low Differential-Linear Uniformity Using Maiorana-McFarland Type Construction. INDOCRYPT 2019 - The 20th International Conference on Cryptology in India, Dec 2019, Hyderabad, India. ⟨10.1007/978-3-030-35423-7_17⟩. ⟨hal-02374286⟩

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