Research Activity

My research activity is mainly based on coding theory and computation algebra.

Coding Theory and Computational Algebra

My research in coding theory is mainly developed in following topics

• Decoding and Fault tolerant algorithms : using the performant decoders of algebraic codes for conceiving  fault tolerant algorithm in special cases  

• Coding and Combinatorics : Bounding parameters of error correcting codes,  exploiting combinatorics for finding optimal classes of codes in specific cases (mainly binary)

• Groebner Bases for coding theory : Founding Groebner Bases characterizing specific classes of codes

Students that I co-advised :      

• Nicole Franzoi (PhD 2025-2028) Reading through the errors: robust rational reconstruction algorithms

• Matteo Abbondati (PhD 2022-2025) Tolérance aux fautes en calcul formel, approche par codes correcteurs

• Ilaria Zappatore (Phd 2017-2020) Simultaneous Rational Function Reconstruction and applications to Algebraic Coding Theory

• Bastien Pacifico (PostDoc 2023-2024)

• Cyrius Nugier (PostDoc 2024-2025)

• Rémi Fossati ( Master 2, 2017)

• Kamel Lairedj ( Master 2, 2021)

• Gael Murtas (Master 2, 2021)

• Antoine Afflatet (Master 2, 2022)

Projets:

ANR projects:

• Barracuda (2021-2026)

• Sangria (2021-2025)