Geodesic
Essential dependence of the Kasami bent functions on the products of variables
Diskretnyj analiz i issledovanie operacij, Tome 20 (2013) no. 1, pp. 77-92

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The Kasami bent functions are the most complicated of the class of monomial bent functions. It is proved that an arbitrary Kasami bent function of degree $t$ has nonzero $(t-2)$-multiple derivatives if $4\leq t\leq(n+3)/3$ and nonzero $(t-3)$-multiple derivatives if $(n+3)/3$. It is obtained that the order of essential dependence of a Kasami bent function is not less than $t-3$. Bibliogr. 8.
Keywords: Kasami Boolean function, bent function, derivative of a Boolean function.
Mots-clés : algebraic normal form 
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A. A. Frolova. Essential dependence of the Kasami bent functions on the products of variables. Diskretnyj analiz i issledovanie operacij, Tome 20 (2013) no. 1, pp. 77-92. http://geodesic.mathdoc.fr/item/DA_2013_20_1_a6/