44 citations · 74 across the 22 of their papers we have counts for
5 papers · 1 filter
A geometric characterization of minimal codes and their asymptotic performance
Gianira Nicoletta Alfarano, Martino Borello, Alessandro Neri
In this paper, we give a geometric characterization of minimal linear codes. In particular, we relate minimal linear codes to cutting blocking sets, introduced in a recent paper by…
Equivalence and Characterizations of Linear Rank-Metric Codes Based on Invariants
Alessandro Neri, Sven Puchinger, Anna-Lena Horlemann-Trautmann
We show that the sequence of dimensions of the linear spaces, generated by a given rank-metric code together with itself under several applications of a field automorphism, is an i…
Invariants and Inequivalence of Linear Rank-Metric Codes
Alessandro Neri, Sven Puchinger, Anna-Lena Horlemann-Trautmann
We show that the sequence of dimensions of the linear spaces, generated by a given rank-metric code together with itself under several applications of a field automorphism, is an i…
Tensor Representation of Rank-Metric Codes
Eimear Byrne, Alessandro Neri, Alberto Ravagnani +1
We present the theory of rank-metric codes with respect to the 3-tensors that generate them. We define the generator tensor and the parity check tensor of a matrix code, and descri…
New Lower Bounds for Permutation Codes using Linear Block Codes
Giacomo Micheli, Alessandro Neri
In this paper we prove new lower bounds for the maximal size of permutation codes by connecting the theory of permutation codes with the theory of linear block codes. More specific…