学术报告信息（一）

周正春:Large sets of sequences with optimal correlation and low PAPR

报告时间:2025年3月4日（星期二）8:30-9:30

报告地点：翡翠湖校区科教楼B座1710室

报告人:周正春 教授

工作单位:西南交通大学

举办单位:数学学院

报告简介:

Large sets of sequences with optimal correlation and low PAPR are desirable in modern wireless communication including 6G and Wifi 8. In this talk, we shall introduce the metrics (including correlation and PAPR) of sequences for measuring their performance in practical applications. We then recall the well-known bounds on these metrics, and some classical sequences meeting the bounds. We shall also introduce a new family of sequences with large size, optimal correlation and low PAPR. The numerical results show that the proposed sequences outperform the known sequences used in the standard of 5G.

报告人简介:

周正春，西南交通大学教授、博士生导师、四川省自然科学基金创新群体负责人、国家级青年人才。一直致力于面向现代通信、雷达、信息安全和数据降维的编码理论和智能电子对抗技术研究，在应用数学和信息论领域权威期刊发表论文80余篇（包括领域权威期刊IEEE TIT 35篇），成果共被引用4000余次；先后完成60余多项国家级、省部级、国防和企业委托项目；曾获全国百篇优博论文奖、教育部自然科学二等奖（2次）、湖北省自然科学一等奖、华为WiFi标准卓越贡献奖、詹天佑青年科技奖、茅以升铁道科技奖。带领团队，综合运用代数、组合、优化与人工智能算法，设计的7类序列编码入选WiFi、UWB和光通信国际标准、设计的两类波形服务于国家某重大演习。担任IEEE Transactions on Cognitive Communications and Networking、Cryptography and Communications、Advances in Mathematics of Communications三个国际SCI期刊编委。

学术报告信息（二）

唐春明: Quadraticforms andtheirapplications incodingtheory

报告时间: 2025年3月4日（星期二）9:30-10:30

报告地点：翡翠湖校区科教楼B座1710室

报告人:唐春明 研究员

工作单位:西南交通大学

举办单位:数学学院

报告简介:

Quadratic forms play a pivotal role in various branches of mathematics, including number theory and algebra, and have profound applications in coding theory. In this talk, we explore the theory of quadratic forms over finite fields and their significant impact on the construction and analysis of codes. Specifically, we examine the use of quadratic forms in generating self-orthogonal codes, which are essential in the development of quantum codes, lattice theory, and linear complementary dual (LCD) codes. By leveraging quadratic forms over finite fields, we construct new families of ternary self-orthogonal codes with flexible parameters. We rigorously analyze the parameters of these codes, demonstrating their minimal nature and their few nonzero weight characteristics, with at most five nonzero weights. The methods and results discussed in this talk offer a novel approach to constructing self-orthogonal codes with applications extending to quantum information processing and error-correction schemes.

报告人简介:

唐春明，西南交通大学信息科学与技术学院，研究员。2012年7月获得北京大学博士学位，先后在巴黎第八大学与香港科技大学从事博士后研究工作，主要研究方向为面向网络空间安全的编码密码理论。以独立/第一/通讯作者身份在领域权威期刊发表论文70余篇，包括编码密码理论旗舰期刊IEEE Transactions on Information Theory 20余篇。因在密码函数领域的贡献，荣获密码学国际学术奖：布尔奖（George Boole Prize）；研究成果获得教育部自然科学二等奖（排名2/4）；主持国家自然科学基金重点项目和面上项目。

学术报告信息（三）

吴霞:A general construction of regular complete permutation polynomials

报告时间: 2025年3月4日（星期二）10:30-11:30

报告地点：翡翠湖校区科教楼B座1710室

报告人:吴霞 教授

工作单位:东南大学

举办单位:数学学院

报告简介:

Letr ≥ 3 be a positive integer andFq the finite field with q elements.In this paper, we consider the r-regular complete permutation property of maps with the form f = τ ◦ σ_M◦ τ⁻¹where τ is a PP over an extension field F_qdand σ_Mis an invertible linear map over F_qd. When τ is additive, we give a general construction of r-regular CPPs for any positive integer r. When τ is not additive, we give many examples of regular CPPs over the extension fields for r = 3, 4, 5, 6, 7 and for arbitrary odd positive integerr.These examples are the generalization of the first class ofr-regular CPPs constructed by Xu et al. (Des Codes Cryptogr 90:545–575, 2022).

报告人简介:

吴霞，东南大学数学学院教授，博士毕业于南京大学数学系。主要研究方向是代数数论和代数编码。在《IEEE Transactions On Information Theory》、《The Ramanujan Journal》、《Acta Arithmetica》、《Designs, Codes and Cryptography》、《Finite Fields and their Applications》等高水平期刊发表多篇SCI论文，主持国家自然科学基金青年基金1项，面上项目2项。