The essential dependence of Kasami bent functions on the products of variables
A. A. Frolova · Journal of Applied and Industrial Mathematics · 2013
Kasami bent functions have the most complicated properties in the class of algebraic constructions of bent functions. We prove that the degree t Kasami functions have nonzero order t − 2 derivatives for 4 ≤ t ≤ ( n + 3)/3 and nonzero order t − 3 derivatives for ( n + 3)/3 < t ≤ n /2. We establish that the order of essential dependence of Kasami bent functions equals either t − 2 or t − 3.