Geodesic
On the affine classification of cubic bent functions
Trudy Instituta matematiki, Tome 14 (2006) no. 1, pp. 3-11

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We consider cubic boolean bent functions, each cubic monomials of which contain the same variable. We investigate canonical forms of these functions under affine transformations of variables. In particular, we refine the affine classification of cubic bent functions of $8$ variables. 
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     title = {On the affine classification of cubic bent functions},
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S. V. Agievich. On the affine classification of cubic bent functions. Trudy Instituta matematiki, Tome 14 (2006) no. 1, pp. 3-11. http://geodesic.mathdoc.fr/item/TIMB_2006_14_1_a0/