Description
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 also necessary) for generalized bent functions when these functions are represented as a linear combination of: generalized bent; Boolean bent; and a mixture of generalized bent and Boolean bent functions. In addition, developing an efficient formula for Walsh-Hadamard transform we are able to characterize some known classes of generalized bent functions. Based on these results, we provide some generic construction methods of these functions and demonstrate that some previous methods are just special cases of the results given in this article.
Primary author
Mr
Hodžić Samir
(University of Primorska)
