12 citations · 26 across the 15 of their papers we have counts for
5 papers · 1 filter
Explicit and asymptotically good constructions of Algebraic Geometry codes in the sum-rank metric
Peter Beelen, Elena Berardini, Anina Gruica +1
Algebraic Geometry (AG) codes (i.e. linear codes from algebraic function fields) in the Hamming metric were proposed by Goppa in 1980 and have been intensively studied ever since.…
Locally recoverable codes from elliptic surfaces with availability and hierarchical locality
Elena Berardini, Andrea Fornetto
In this paper, we propose several constructions of Locally Recoverable Codes from elliptic surfaces. In particular, we are able to obtain codes with availability , codes with…
Generalized Skew Multivariate Goppa Codes
Elena Berardini, Pranav Trivedi
We introduce Generalized Skew Multivariate Goppa codes relying on the theory of multivariate Ore polynomials. These codes contain Generalized Skew Goppa codes as a special case. By…
Duality and decoding of linearized Algebraic Geometry codes
Elena Berardini, Xavier Caruso, Fabrice Drain
We design a polynomial time decoding algorithm for linearized Algebraic Geometry codes with unramified evaluation places, a family of sum-rank metric evaluation codes on division a…
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…