[Resource Topic] 2005/332: Classification of Cubic $(n-4)$-resilient Boolean Functions

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Classification of Cubic (n-4)-resilient Boolean Functions

Authors: An Braeken, Yuri Borissov, Svetla Nikova, Bart Preneel


Carlet and Charpin classified in \cite{CC04} the set of cubic (n-4)-resilient Boolean functions into four different types with respect to the Walsh spectrum and the dimension of the linear space. Based on the classification of RM(3,6)/RM(1,6), we completed the classification of the cubic (n-4)-resilient Boolean function by deriving the corresponding ANF and autocorrelation spectrum for each of the four types. In the same time, we solved an open problem of \cite{CC04} by proving that all plateaued cubic (n-4)-resilient Boolean functions have dimension of the linear space equal either to n-5 or n-6.

ePrint: https://eprint.iacr.org/2005/332

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