Further results on constructions of generalized bent Boolean functions  

作　　者：Fengrong ZHANG Shixiong XIA Pantelimon STANICA Yu ZHOU 

机构地区：[1]School of Computer Science and Technology, China University of Mining and Technology, Xuzhou 221116, China [2]State Key Laboratory of Integrated Services Networks, Xidian University, Xi'an 710071, China [3]Naval Postgraduate School, Applied Mathematics Department, Monterey, CA 93943, USA [4]Science and Technology on Communication Security Laboratory, Chengdu 610041, China

出　　处：《Science China(Information Sciences)》2016年第5期238-240,共3页中国科学（信息科学）（英文版）

基　　金：supported by National Natural Science Foundation of China (Grant Nos. 61303263, 61309034);Fundamental Research Funds for the Central Universities (Grant No. 2015XKMS086);China Postdoctoral Science Foundation Funded Project (Grant No. 2015T80600)

摘　　要：Dear editor Boolean bent functions were introduced by Rothaus in 1976 as an interesting combinatorial object with the important property of having op- timal nonlinearity [1]. Since bent functions have many applications in sequence design, cryptogra- phy and algebraic coding, they have been exten- sively studied during the last thirty years [2, 3]. Over the past decades, based on bent functions, several constructions of highly nonlinear balanced functions were presented [4, 5].Dear editor Boolean bent functions were introduced by Rothaus in 1976 as an interesting combinatorial object with the important property of having op- timal nonlinearity [1]. Since bent functions have many applications in sequence design, cryptogra- phy and algebraic coding, they have been exten- sively studied during the last thirty years [2, 3]. Over the past decades, based on bent functions, several constructions of highly nonlinear balanced functions were presented [4, 5].

关 键 词：Further results on constructions of generalized bent Boolean functions Zn 

分 类 号：TN918.1[电子电信—通信与信息系统]