On the multiplicity of eigenvalue of SLCE sequences

主 讲 人 ：杨晶    副教授

活动时间：04月28日10时20分    

地      点 ：公教楼E座507

讲座内容：

Abstract：Binary Sidel'nikov-Lempel-Cohn-Eastman sequences(or SLCE sequences) over have even Periods and almost perfect autocorrelation.However, the evaluation of the linear Complexity of these sequences is a challengingtask.In this paper, base on the study of S.Alaca and G. Millar (Cryptography andCommunications, pp.1-18,2016), the multiple roots of character polynomials of SLCEsequences is expressed into certain kinds of Jacobi sums. Then by making use ofGauss sums and Jacobi sums in the "semiprimitive" case, a new divisibilityresult for SLCE sequences is also derived..

主讲人介绍：

杨晶, 清华大学数学科学系, 副教授, 主要研究数论中指数和的各类计算问题，以及数论在编码密码学中的应用问题. 为IEEE Trans. IT, FFTA, Disr.Math, DCC，中国科学等杂志的审稿人. 丘成桐中学生数学奖审稿人和复赛评委，入选北京市高校青年英才计划. 主持国家自然基金2项，参加国家自然科学基金重大项目1项. 曾获第12届北京青年优秀科技论文奖。

发布时间：2018-04-26 16:14:46