Characterization and Properties of Bent-Negabent Functions  

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

机构地区：[1]School of Mathematical Sciences,Huaibei Normal University,Huaibei 235000,China [2]Fujian Provincial Key Laboratory of Network Security and Cryptology,Fujian Normal University,Fuzhou 350117,China [3]School of Cyber Science,University of Science and Technology of China,Hefei 230027,China [4]School of Computer Engineering,Bengbu University,Bengbu 233030,China

出　　处：《Chinese Journal of Electronics》2022年第4期786-792,共7页电子学报（英文版）

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).

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.

关 键 词：Boolean function Bent-negabent function Walsh-Hadamard transform Nega-Hadamard transform 

分 类 号：O174[理学—数学]