2 papers
cs.IT2026
New perspectives for code locality in the rank metric
Camille Garnier, Julien Lavauzelle, Jade Nardi +1
In coding theory, local recovery enables the efficient recovery of some part of (lost) coded data by accessing only a small number of other data entries. Locality was mostly but in…
math.RA2026
Linearized Polynomial Chinese remainder codes
Philippe Gaborit, Camille Garnier, Olivier Ruatta
In this paper, we introduce a new family of codes relevent for rank and sum-rank metrics. These codes are based on an effective Chinese remainders theorem for linearized polynomial…