Characterization for a generic construction of bent functions and its consequences

TL;DR

This paper provides a new characterization of a generic method for constructing bent functions, leading to more efficient constructions and resolving an open problem in the field.

Contribution

It introduces a novel characterization that enhances the construction of bent functions and addresses a previously open problem.

Findings

New characterization for generic bent function construction

Efficient new construction method for bent functions

Resolution of an open problem in bent functions

Abstract

In this letter, we give a characterization for a generic construction of bent functions. This characterization enables us to obtain another efficient construction of bent functions and to give a positive answer on a problem of bent functions.