Ding-Helleseth-Lam二元序列的迹表示  

Trace Representation of Ding-Helleseth-Lam Binary Sequence

作　　者：吴晨煌 WU Chenhuang(School of Mathematics and Finance, Putian University, Putian Fujian 351100, China;School of Computer Science and Engineering, University of Electronic Science and Technology of China,Chengdu Sichuan 611731, China)

机构地区：[1]莆田学院数学与金融学院 [2]电子科学技术大学计算机科学与工程学院

出　　处：《莆田学院学报》2018年第2期1-8,共8页Journal of putian University

基　　金：国家自然科学基金资助项目(61373140;61772292);2016年福建省高校杰出青年科研人才培育计划资助;福建省自然科学基金资助项目(2015J01662;2018J01425)

摘　　要：通过求序列的离散傅里叶变换给出了Ding-Helleseth-Lam二元序列的Mattson-Solomon多项式,并由此给出该序列的迹表示。所讨论的方法同样适用于其他阶割园类定义的序列。For the Ding-Helleseth-Lam binary sequence, the discrete Fourier transform of is determined and hence the Mattson-Solomon polynomial is derived. From the Mattson-Solomon polynomial, the trace representations of the sequence are presented. Furthermore, the method in this paper can also be applied to other sequences defined by the cyclotomic classes of different order.

关 键 词：Ding-Helleseth-Lam序列 离散傅里叶变换 Mattson-Solomon多项式 迹表示 二元序列 

分 类 号：O29[理学—应用数学] TN911.22[理学—数学]