A Generic Construction of Plateaued Functions via Support Modification of Quadratic Functions

Plateaued Boolean functions play an important role in sequence design and cryptography due to their favorable properties such as high nonlinearity, resilience and low additive autocorrelation. In this paper, by modifying the support of certain quadratic functions, we propose a generic construction of plateaued Boolean functions. Additionally, we analyze the algebraic normal form of the newly constructed functions. As applications of the proposed construction, we obtain infinite families of near-bent and semi-bent functions.