ACCESS
Algebraic Coding and Cryptography
Seminar Series
Online Event
ACCESS is a joint effort designed to highlight world-class research in coding theory, cryptography, and related areas and to encourage collaboration among its participants.
Next seminar
December 17
December 17
Sihem Mesnager
University of Paris VIII
University of Paris VIII
Functions-based codes over finite fields and their applications: insights and open problems
One key research challenge in coding theory is constructing new linear codes with suitable parameters that are functional in communication systems, consumer electronics, and data storage systems. Researchers also focus on determining the weight distributions of these codes and studying their dual codes, with a particular emphasis on practical applications. This talk will concentrate on (optimal) linear codes and their interactions with optimal cryptographic functions. We aim to present recent insights in this area. Specifically, we will focus on linear codes derived from functions over finite fields, discussing their advantages and limitations. We will also highlight open questions by selecting families of linear codes defined over finite fields with varying characteristics. Some optimal codes are designed for specific applications, including those emphasising locality.
Biography. 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) in the INFERES department, Telecom Paris, 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 organiser of the international conference in Finite Fields and their Applications Fq15 conference). She is (co)-author of 220 articles, two books, and three chapters of books, and has given more than 125 national and international conferences (36 invited talks). 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.