Report title: From plateaued functions to (optimal) linear codes over fine fields

Reported by: Professor Sihem Messenger

Report time: September 23, 2021 15:30-16:30

Report location: Tencent Meeting (Meeting ID: 326 276 485)

Host: Li Chengju

Report Summary:

Boolean plateaued functions and p-ary plateaued functions have attracted widespread attention in literature, and many studies have been conducted on these functions. The first purpose of this report is to introduce and discuss Boolean and p-ary plateaued functions, as well as several tools for handling plateaued properties. The second objective is to discuss how to use the plateaued function to construct linear codes for various applications, such as secret sharing schemes and secure mutual computation.

Reported by:

Professor Sihem Messager has a Ph.D. degree from the Sixth University of Paris, France. He is currently a dual professor at the Eighth University of Paris and the National High School of Telecommunications in Paris. His main research areas include discrete mathematics, cryptographic functions, coding theory, and computational algebraic geometry. She is the editor in chief of the international journals International Journal of Information and Coding Theory (IJOCT) and Advancements in Mathematics of Communications (AMC), as well as IEEE Transactions on Information Theory (IEEE-IT), Cryptography and Communications Discrete Structures and Boolean Functions and Sequences (CCDS), International Journal of Computer Mathematics, RAIRO ITA (Theoretical Informatics and Applications), and International. Editorial board member of the Journal of Computer Mathematics. Many innovative achievements have been made in the construction of Boolean functions with special cryptographic properties and the construction of good linear codes. In IEEE Transactions on Information Theory and Designs, Codes and Cryptography》、 ISIST and other top international journals and conferences have published over 150 papers, as well as two monographs on cryptographic functions and encoding. Since 2016, he has served as the Chairman of the IEEE Forum on Information Theory in France and was awarded the first International George Bull Award in 2020.