应数学与统计学院邀请，国防科技大学屈龙江教授将为我院师生作学术报告。
报告题目：Constructing bent functions from permutations
报告摘要：Bent functions are extremal combinatorial objects with several applications, such as coding theory, cryptography, etc. In this talk, we introduce and further study two approaches to constructing bent functions from permutations. The first one is by composing a Boolean function with a permutation introduced by Hou and Langevin in 1997. In this part, some new classes of bent functions from quadratic permutations and permutations with Niho exponents are proposed. The second approach is by employing three permutations satisfying a special algebraic property (Am) proposed by Mesnager in 2014. In this part, we construct some triples of permutations satisfying the property (Am) from vectorial functions, trace functions and linearized polynomials, and then obtain some bent functions by them. These works are jointed with Tor Helleseth, Chunlei Li, Kangquan Li, Yubo Li and Sihem Mesnager.
报告时间：2023年12月21日19:00
报告地点：腾讯会议 500-743-453
邀 请 人：杜小妮 教授
届时欢迎广大师生参与交流！
报告人简介：
屈龙江，国防科技大学理学院副院长，教授、博导。现任教育部科技委数理学部委员，密码学报、AMC编委。从事密码中的数学理论研究，主持国家优青、173课题等科研项目，在美密、IEEE TIT等发表论文百余篇，入选教育部新世纪优秀人才计划。
甘肃省数学与统计学基础学科研究中心
数学与统计学院
2023年12月19日
