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Construction of almost optimal resilient Boolean functions via concatenating Maiorana-McFarland functions

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Abstract

We describe a method to construct an n-variable (n even) almost optimal resilient Boolean function via concatenating 2d properly chosen (n−d)-variable Maiorana-McFarland functions. As an example, a 5-resilient 42-variable Boolean function with currently best known nonlinearity 241 −220 −217 is provided.

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Correspondence to WeiGuo Zhang.

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Zhang, W., Xiao, G. Construction of almost optimal resilient Boolean functions via concatenating Maiorana-McFarland functions. Sci. China Inf. Sci. 54, 909–912 (2011). https://doi.org/10.1007/s11432-011-4230-y

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  • DOI: https://doi.org/10.1007/s11432-011-4230-y

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