SEMINAR:Optimal Rank-Metric Codes with Rank-Locality from Drinfeld...

Guest: Mohamed Darwish

Title:  Optimal Rank-Metric Codes with Rank-Locality from Drinfeld Modules 

Date/Time: February 26, 18:40

Location: https://sabanciuniv.zoom.us/j/97492716003?pwd=z2U6TQTJMbcSHRbnZLONfoFmBiBWqg.1

Abstract: We introduce a new technique to construct rank-metric codes using the arithmetic theory of Drinfeld modules over global fields, and Dirichlet Theorem on polynomial arithmetic progressions. Using our methods, we obtain a new infinite family of optimal rank-metric codes with rank-locality, i.e. every code in our family achieves the information theoretical bound for rank-metric codes with rank-locality. This is a joint work with Giacomo Micheli and Luca Bastioni.

Bio:Mohamed Darwish is a Doctoral candidate at the University of South Florida, working under the supervision of Dr. Giacomo Micheli. He earned his master's degree from Sabanci University in 2022 under the supervision of Dr. Mohammad Sadek. His research interests include Algebraic Coding Theory—with a focus on locally recoverable codes and the use of Drinfeld modules to construct optimal rank metric codes—and arithmetic dynamics, particularly polynomial maps over the rationals.