2 citations · 3 across the 20 of their papers we have counts for
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Intersecting Codes and the Connectivity of -Matroids
Fabrizio Conca, Benjamin Jany, Alberto Ravagnani
We investigate the structure of intersecting error-correcting codes, with a particular focus on their connection to matroid theory. We establish properties and bounds for intersect…
The Eigenvalue Method in Coding Theory
Aida Abiad, Loes Peters, Alberto Ravagnani
We lay down the foundations of the Eigenvalue Method in coding theory. The method uses modern algebraic graph theory to derive upper bounds on the size of error-correcting codes fo…
Whitney Numbers of Rank-Metric Lattices and Code Enumeration
Giuseppe Cotardo, Alberto Ravagnani, Ferdinando Zullo
We investigate the Whitney numbers of the first kind of rank-metric lattices, which are closely linked to the open problem of enumerating rank-metric codes having prescribed parame…
-Balanced Codes with the Kendall- Metric
Benjamin Jany, Alberto Ravagnani
We investigate the maximum cardinality and the mathematical structure of error-correcting codes endowed with the Kendall- metric. We establish an averaging bound for the cardina…
Eigenvalue bounds and alternating rank-metric codes
Aida Abiad, Gianira N. Alfarano, Alberto Ravagnani
In this note we apply a spectral method to the graph of alternating bilinear forms. In this way, we obtain upper bounds on the size of an alternating rank-metric code for given val…
The Diagonals of a Ferrers Diagram
Giuseppe Cotardo, Anina Gruica, Alberto Ravagnani
We propose and develop a theory of Ferrers diagrams and their -rook polynomials solely based on their diagonals. We show that the cardinalities of the diagonals of a Ferrers dia…