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学术报告(七)

发布者:  时间:2020-11-19 11:33:13  浏览:

主讲人:曾祥勇湖北大学教授)

题目:Permutation trinomials and quadrinomials with nontrivial 

coefficients over finite fields

时间:2020年11月20日下午15:00

地点:行政楼二楼多功能会议室

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.

曾祥勇教授简介

湖北大学教授(二级)、博士生导师,新葡萄8883官网最新版下载院长。

2002年开始密码学、序列设计和编码学的研究工作。现为中国密码学会理事、《Cryptography and Communications - Discrete Structures, Boolean Functions and Sequences》编委、《密码学报》编委、湖北省重要领域国产密码应用专家、湖北省杰出青年基金获得者,先后主持六项国家自然科学基金,2017年获湖北省自然科学二等奖一项(第一完成人)、2018年获全国教育专业学位教学成果一等奖一项(排名第二)、2018年获国务院政府特殊津贴。在《IEEE Transactions on Information Theory》、《Designs, Codes and Cryptography》、《Finite Fields and Their Applications》、《European Journal of Combinatorics》、《Information Sciences》、《Discrete Mathematics》、《Cryptography and Communications - Discrete Structures, Boolean Functions and Sequences》、《Applicable Algebra in Engineering, Communication, and Computing》、《Communications in Algebra》、《Science China information Sciences》、《Science China Mathematics》、《数学学报》、《计算机学报》、《通信学报》和《电子学报》等国内外学术刊物以及国际会议上发表论文八十多篇。