5 papers
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…
Maximum number of zeroes of polynomials on weighted projective spaces over a finite field
Jade Nardi, Rodrigo San-José
We compute the maximum number of rational points at which a homogeneous polynomial can vanish on a weighted projective space over a finite field, provided that the first weight is…
Structure of weighted projective Reed-Muller codes
Jade Nardi, Rodrigo San-José
We provide a comprehensive overview of the fundamental structural properties of weighted projective Reed-Muller codes. We give a recursive construction for these codes, under some…
A computational approach to Drinfeld modules
Cécile Armana, Elena Berardini, Xavier Caruso +3
This survey provides a practical and algorithmic perspective on Drinfeld modules over . Starting with the construction of the Carlitz module, we present Drinfeld mo…
Codes on Weighted Projective Planes
YaÄmur ÃakıroÄlu, Jade Nardi, Mesut Åahin
We comprehensively study weighted projective Reed-Muller (WPRM) codes on weighted projective planes . We provide the universal Gröbner basis for the vanishing i…