應77779193永利邀請，國防科技大學屈龍江教授将為我院師生作學術報告。
報告題目：Constructing bent functions from permutations
報告摘要：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.
報告時間：2023年12月21日19:00
報告地點：騰訊會議 500-743-453
邀 請 人：杜小妮 教授
屆時歡迎廣大師生參與交流！
報告人簡介：
屈龍江，國防科技大學理學院副院長，教授、博導。現任教育部科技委數理學部委員，密碼學報、AMC編委。從事密碼中的數學理論研究，主持國家優青、173課題等科研項目，在美密、IEEE TIT等發表論文百餘篇，入選教育部新世紀優秀人才計劃。
甘肅省數學與統計學基礎學科研究中心
77779193永利
2023年12月19日
