Bent Functions: Results and Applications to Cryptography offers a unique survey of the
objects of discrete mathematics known as Boolean bent functions. As these maximal …

In this paper, we investigate properties of generalized bent Boolean functions and 2k-bent
(ie, negabent, octabent, hexadecabent, et al.) Boolean functions in a uniform framework …

A natural generalization of bent functions is a class of functions from F 2 n to Z (2 k) which is
known as generalized bent (gbent) functions. The construction and characterization of gbent …

In this paper, we introduce generalized hyperbent functions from F 2 n to ℤ 2 k, and
investigate decompositions of generalized (hyper) bent functions. We show that generalized …

This paper contributes to increase our knowledge on generalized bent functions (including
generalized bent Boolean functions and generalized p-ary bent functions with odd prime p) …

In this article we present a broader theoretical framework useful in studying the properties of
so-called generalized bent functions. We give the sufficient conditions (and in many cases …

In this paper we prove that generalized bent (gbent) functions defined on F _2^ n with values
in Z _ 2^ k are regular, and show connections between the (generalized) Walsh spectrum of …

In this paper we generalize the partial spread class and completely describe it for
generalized Boolean functions from F _2^ n F 2 n to Z _ 2^ t Z 2 t. Explicitly, we describe …

Plateaued functions are very important cryptographic functions due to their various desirable
cryptographic characteristics. We point out that plateaued functions are more general than …

In this paper, we consider the spectra of Boolean functions with respect to the action of
unitary transforms obtained by taking tensor products of the Hadamard kernel, denoted by H …