PROJECT TITLE :

On Weak and Strong $2^$ -Bent Boolean Functions

ABSTRACT:

During this paper, we introduce a sequence of discrete Fourier transforms and define new versions of bent functions, which we have a tendency to shall call (weak and sturdy) octa/hexadeca and, generally, -bent functions. We tend to investigate relationships between these categories and completely characterize the octabent and hexadecabent functions in terms of bent functions. We tend to additional notice relative difference sets based mostly upon these functions.