Geodesic
An approach to the classification of Boolean bent functions of the nonlinearity degree 3
Diskretnaya Matematika, Tome 26 (2014) no. 4, pp. 59-65

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We consider an approach to the classification of $n$-variable Boolean bent functions of the nonlinearity degree 3. We utilize the apparatus of bent rectangles introduced by S. V. Agievich. This apparatus was used for the classification of $8$-variable Boolean cubic bent functions. The results of our research allow to construct cubic bent functions that depend on an arbitrary even number of variables; the construction is based on well studied quadratic bent functions.
Keywords: bent functions, bent rectangles, quadratic forms, affine transformations. 
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     author = {V. I. Nozdrunov},
     title = {An approach to the classification of {Boolean} bent functions of the nonlinearity degree 3},
     journal = {Diskretnaya Matematika},
     pages = {59--65},
     publisher = {mathdoc},
     volume = {26},
     number = {4},
     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/DM_2014_26_4_a6/}
}
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V. I. Nozdrunov. An approach to the classification of Boolean bent functions of the nonlinearity degree 3. Diskretnaya Matematika, Tome 26 (2014) no. 4, pp. 59-65. http://geodesic.mathdoc.fr/item/DM_2014_26_4_a6/