一类布尔函数的研究  

Study on a class of Boolean functions

作　　者：张婧婧 卓泽朋[1] 陈国龙 Zhang Jingjing;Zhuo Zepeng;Chen Guolong(School of Mathematical Sciences,Huaibei Normal University,Huaibei 235000,Anhui,China;School of Computer Engineering,Bengbu College,Bengbu 233030,Anhui,China)

机构地区：[1]淮北师范大学数学科学学院,安徽淮北235000 [2]蚌埠学院计算机工程学院,安徽蚌埠233030

出　　处：《江苏师范大学学报（自然科学版）》2023年第2期47-50,共4页Journal of Jiangsu Normal University：Natural Science Edition

基　　金：国家自然科学基金资助项目(60573026,10101008);淮北师范大学研究生创新基金项目(CX2023045)。

摘　　要：研究布尔函数的一类二次构造,此类构造是通过改造Carlet经典二次构造得到的.给出布尔函数的nega-Hadamard变换及此类二次构造是negabent函数的充分条件.A class of secondary construction of Boolean function is studied,this kind of construction is obtained by modifying the classical secondary construction of Carlet ,and it is explored that the conditions of this kind of secondary construction are negabent function .Then the nega-Hadamard transform of the Boolean functions,and the sufficient conditions for such secondary construction to be satisfied by negabent functions are given.

关 键 词：布尔函数 nega-Hadamard变换 negabent函数 bent-negabent函数 

分 类 号：TN918.1[电子电信—通信与信息系统]