报告题目：Insights on Functions-based Codes and New Avenues

报告专家：Sihem Mesnager 巴黎第八大学, 巴黎北部索邦大学,
法国科学研究中心 教授

报告时间：2024年05月25日（周六）下午15:00-16:30

报告地点：南教1-120报告厅

线上平台：Zoom会议 会议ID：996 9801 6370 密码：9JQLRj

报告摘要：One  of the leading research problems in coding theory is constructing new  linear codes with appropriate parameters (functional in communication  systems, consumer electronics and data storage systems), determining  their weight distributions and studying their dual codes. This research  also pays particular attention to applications.

This  talk concentrates on linear codes. We aim to present results and new  avenues by selecting families of linear codes over finite fields with  arbitrary characteristics (some of them are designed for (toward)  specific intended applications). Specifically, the emphasis will be on  linear codes created from functions over finite fields. We shall discuss  the advantages and limitations.

专家简介：Sihem  Mesnager received a PhD degree in Mathematics from the University of  Pierre et Marie Curie (Paris VI), Sorbonne University, Paris, France, in  2002, and the Habilitation to Direct Theses (HDR) in Mathematics from  the University of Paris VIII, France, in 2012. She is currently a  professor of mathematics at the University of Paris VIII (France) in the  laboratory LAGA (Laboratory of Analysis, Geometry, and Applications),  University Sorbonne Paris Nord, and CNRS. She is also a professor  adjoint to Telecom Paris (France) institute Polytechnique of Paris. Her research  interests include discrete mathematics, symmetric cryptography, coding  theory, commutative algebra, and computational algebraic geometry. She  was awarded 2020 the first international George Boole Prize and received  several awards from 2014 to 2023 from the University of Paris VIII  (national evaluation). She is the Editor-in-Chief of the International  Journal of Information and Coding Theory (IJOCT), published by  Inderscience and co-editor-in-chief of the international journal  Advances in Mathematics of Communications (AMC), published by AIMS. She  was an Associate Editor for the international journal IEEE Transactions  on Information Theory (IEEE-IT) from Sept 2014 to Aug. 2021. Also, She  serves on the editorial board of the international journal Cryptography  and Communications Discrete Structures and Boolean Functions and  Sequences (CCDS) published by SPRINGER, the International Journal  Finite Fields and their Applications (FFA) Published by ELSEVIER, the  international journal RAIRO ITA (Theoretical Informatics and  Applications), the International Journal of Computer Mathematics  (Published by Taylor Francis), and International Journal of Applicable  Algebra in Engineering, Communication and Computing (AAECC)-Published by  SPRINGER. She was a program co-chair for several International  Workshops, served on the board of program committees of 45 international  conferences and workshops, and co-chaired/co-organized 12 international  conferences (notably, she was the main organizer of the international  conference in Finite Fields and their Applications Fq15 conference).  Since 2016, she has been president of the French Chapter of IEEE in  information theory. She is heading the research group AGC3 (Algebra,  Geometry, Combinatorics, and Applications to Cryptography and Coding) at  the LAGA Laboratory. She is elected member (term 2024- 2027) of College  A of the National Council of Universities (CNU) for Section 25  Mathematics in France.