Elena Berardini

Project title: CRIS&S (Codes in the Rank metric, Information Security & Storage)

Host Institution: Eindhoven University of Technology (TU/e)

Host Supervisor: Prof. Alberto Ravagnani

Co-host Institution: École Polytechnique (L’X)

Co-host Supervisor: Prof. Alain Couvreur

Summary project: Information security and data integrity are, and will continue to be, some of the greatest challenges of the modern world. Strategies that have been recently proposed to guarantee these are based on error-correcting codes, and in particular on rank-metric codes. Having access to a large variety of rank-metric codes with different properties is crucial for the aforementioned strategies to be implemented and made robust.

The goal of this project is twofold. On the one hand, to apply sophisticated methods from algebra and algebraic geometry to construct new general families of rank-metric codes. On the other hand, to exploit their properties and structure for applications to distributed storage systems and code-based cryptography.