Work

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

Year: 2026

Type: article

Abstract: 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.

Source: Mathematics

DOI: 10.3390/math14173200

Authors: Junchao Zhou, Fang Xu, Min Deng

Institution: Hubei Engineering University

Language: English

Topic: Coding theory and cryptography

Subfield: Artificial Intelligence

Field: Computer Science

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $3,137

Funder: National Natural Science Foundation of China