Characterization and Properties of Bent-Negabent Functions

作     者：JIANG Niu ZHAO Min YANG Zhiyao ZHUO Zepeng CHEN Guolong 

作者机构：School of Mathematical Sciences Huaibei Normal University Fujian Provincial Key Laboratory of Network Security and Cryptology Fujian Normal University School of Cyber Science University of Science and Technology of China School of Computer Engineering Bengbu University 

出 版 物：《Chinese Journal of Electronics》 (电子学报(英文))

年 卷 期：2022年第31卷第4期

页      面：786-792页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：supported by the Graduate Scientific Research Project of Anhui University (YJS20210464) the Key Research and Development Projects in Anhui Province (202004a05020043) the Natural Science Foundation of Anhui Higher Education Institutions of China (KJ2020ZD008) the Graduate Innovation Fund of Huaibei Normal University (yc2021022) 

主　　题：Boolean function Bent-negabent function Walsh-Hadamard transform Nega-Hadamard transform 

摘      要：A further characterization of the bentnegabent functions is presented. Based on the concept of complete mapping polynomial, we provide a necessary and sufficient condition for a class of quadratic Boolean functions to be bent-negabent. A new characterization of negabent functions can be described by using the parity of Hamming weight. We further generalize the classical convolution theorem and give the nega-Hadamard transform of the composition of a Boolean function and a vectorial Boolean function. The nega-Hadamard transform of a generalized indirect sum is calculated by this composition method.