New Secondary Constructions of Generalized Bent Functions  

作　　者：YANG Zhiyao KE Pinhui CHEN Zhixiong 

机构地区：[1]Fujian Provincial Key Laboratory of Network Security and Cryptology,Fujian Normal University,Fuzhou 350117,China [2]College of Mathematics and Informatics,Fujian Normal University,Fuzhou 350117,China [3]Fujian Provincial Key Laboratory of Applied Mathematics,Putian University,Putian 351100,China

出　　处：《Chinese Journal of Electronics》2021年第6期1022-1029,共8页电子学报（英文版）

基　　金：supported by the National Natural Science Foundation of China(No.61772292,No.61772476);the Provincial Natural Science Foundation of Fujian(No.2019J01273);Fujian Normal University Innovative Research Team(No.IRTL1207)。

摘　　要：Three new secondary constructions of generalized bent functions are presented.We provide a secondary construction of generalized bent functions from indirect sum methods proposed by Carlet et al.A new secondary construction of generalized bent functions from four initial functions is also investigated.We demonstrate that many known constructions can be derived from our proposed construction as special cases by choosing proper initial functions and parameters.By modifying the new construction,a novel secondary construction of generalized bent functions from two initial generalized bent functions is obtained.For the binary case,the dual functions of the bent functions by our method are presented,which share the same formula as the indirect sum.

关 键 词：Bent function Generalized bent function Walsh-Hadamard transform Indirect sum 

分 类 号：O174[理学—数学]