Abstract
Some basic properties of bent functions are discussed in this chapter. The first one is a restriction on the degree of a bent function: if f is bent in n variables, then 2≤deg(f)≤n/2. The second one is that a Boolean function extended affinely equivalent to a bent function is bent too. Dual bent functions are defined; relations between degrees and algebraic normal form coefficients of bent functions and their dual functions are presented. It is mentioned that a bent function is a nondegenerate function.
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