Séminaire de l’équipe AGC3
Responsables : SCHMID Wolfgang et BORELLO Martino
Lundi 16 février 2026
15:30 Valentina Astore (Inria Saclay - École polytechnique) 
Résumé
A Characterization of some Linearized Reed-Solomon Codes
Université Paris 8 - MR 105Linearized Reed–Solomon (LRS) codes form a natural extension of both Reed–Solomon and Gabidulin codes, lying at the intersection of the Hamming and rank metrics through the sum-rank metric. While Reed–Solomon and Gabidulin codes have been extensively studied from both algebraic and geometric viewpoints, no general distinguisher is currently known for identifying the structure of LRS codes. The only existing result in this direction applies to a restricted setting and relies on the prior recovery of partial information on the code parameters.
In this talk, we introduce a geometric approach to distinguish some classes of LRS codes. First, we present a geometric interpretation of LRS codes, relating them to a suitable qq-analogue of the rational normal curve. We then investigate the Hilbert function of the projective variety associated with an LRS code, focusing in particular on its Hilbert regularity. Finally, we derive a geometric characterization of LRS codes that leads to an effective distinguisher for some families of LRS codes.
Lundi 2 mars 2026
13:30 Alessandro Neri (University of Naples Federico II)
Titre bientôt disponible
Université Paris 8 - MR 105
Vendredi 6 mars 2026
15:00 Alessandro Neri (University of Naples Federico II)
Titre bientôt disponible
Université Paris 8 - MR 105
Lundi 9 mars 2026
13:30 Alessandro Neri (University of Naples Federico II)
Titre bientôt disponible
Université Paris 8 - MR 105
