报告时间：2021年9月14日（星期二）15:00

报告平台：腾讯会议 ID: 321 959 917

报 告 人：刘华宁 教授

工作单位：西北大学

举办单位：数学学院

报告简介：

Fermat-Euler quotients arose from the study of the first case of Fermat's Last Theorem, and have numerous applications in number theory. Recently they were studied from the cryptographic aspects by constructing many pseudorandom binary sequences, whose linear complexities and trace representations were calculated. In this work, we further study their correlation measures by using the approach based on Dirichlet characters, Ramanujan sums and Gauss sums. Our results show that the $4$-order correlation measures of these sequences are very large. Therefore they may not be suggested for cryptography.

报告人简介：

刘华宁，西北大学数学学院教授、博士生导师，剑桥大学与山东大学博士后。目前担任《纯粹数学与应用数学》执行编委。研究方向为解析数论及其应用，发表论文90余篇。先后主持多项国家自然科学基金，曾获得钟家庆数学奖、全国优秀博士学位论文提名、霍英东教育基金会青年教师奖以及两项省部级科学技术奖。