云亭数学讲坛2021第62讲——曾祥勇教授

文章来源:bat365在线平台官网登录发布日期:2021-10-28浏览次数:343

应bat365在线平台官网登录邀请,湖北大学曾祥勇教授将为bat365官网作线上学术报告。

报告题目:Permutation trinomials and quadrinomials with nontrivial coefficients over finite fields

报告摘要:Permutation polynomials are important objects in the theory of finite fields, and they have been widely used in cryptography, coding theory and combinatorial design theory. In this talk, we will introduce several classes of permutation trinomials and quadrinomials with nontrivial coefficients over finite fields. Through transforming the permutation problem into studying some low-degree equations over finite fields and utilizing the knowledge of the algebraic curve, as well as some known results on the Kloosterman sum, the necessary and sufficient conditions on coefficients for these trinomials and quadrinomials being permutations are presented. In addition, we also show that one class of the presented permutation quadrinomials has Boomerang uniformity 4.

报告时间:202110309:00

报告地点:腾讯会议(会议ID813 116 449

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】

 曾祥勇,湖北大学教授,研究领域为密码学、代数学。现为中国密码学会理事、湖北省重要领域国产密码应用专家、《Cryptography and Communications》编委、《密码学报》编委,先后主持七项国家自然科学基金、两项国家密码发展基金,2017年获湖北省自然科学二等奖一项、2018年获全国教育专业学位教学成果一等奖一项、2018年获国务院政府特殊津贴。