44 citations · 100 across the 48 of their papers we have counts for
5 papers · 1 filter
Anticodes in the Sum-Rank Metric
Eimear Byrne, Heide Gluesing-Luerssen, Alberto Ravagnani
We study the structure of anticodes in the sum-rank metric for arbitrary fields and matrix blocks of arbitrary sizes. Our main result is a complete classification of optimal linear…
Three Combinatorial Perspectives on Minimal Codes
Gianira N. Alfarano, Martino Borello, Alessandro Neri +1
We develop three approaches of combinatorial flavour to study the structure of minimal codes and cutting blocking sets in finite geometry, each of which has a particular applicatio…
Parameters of Codes for the Binary Asymmetric Channel
Giuseppe Cotardo, Alberto Ravagnani
We introduce two notions of discrepancy between binary vectors, which are not metric functions in general but nonetheless capture the mathematical structure of the binary asymmetri…
Common Complements of Linear Subspaces and the Sparseness of MRD Codes
Anina Gruica, Alberto Ravagnani
Motivated by applications to the theory of rank-metric codes, we study the problem of estimating the number of common complements of a family of subspaces over a finite field in te…
Fundamental Properties of Sum-Rank Metric Codes
Eimear Byrne, Heide Gluesing-Luerssen, Alberto Ravagnani
This paper investigates the theory of sum-rank metric codes for which the individual matrix blocks may have different sizes. Various bounds on the cardinality of a code are derived…