Rakhi Pratihar

Rakhi Pratihar is a Postdoctoral Research Fellow at Inria Saclay Centre, France, affiliated with the GRACE research team. Her work bridges combinatorics, algebraic coding theory, and topological structures, focusing on rank metric codes, q-matroids, and shellable simplicial complexes.

Research interests include:

• Decoding algorithms for rank metric codes and their cryptographic applications
• Generalizations of shellable q-complexes and matroid-like structures
• Topological and algebraic invariants (e.g., Betti numbers, Euler characteristic) of coding-theoretic objects

Her publications span topics like Reed-Muller codes, Gabidulin codes, and Schur squares of Twisted Generalized Reed-Solomon codes, often exploring connections between coding theory and algebraic topology. She employs computational tools like SageMath for algebraic implementations.

Rakhi collaborates with researchers such as Alain Couvreur, Sudhir R. Ghorpade, and Trygve Johnsen. Her work has been supported by institutions linked to Inria and the Simons Foundation.