2 citations · 3 across the 10 of their papers we have counts for
20 papers
Rook Theory of the Etzion-Silberstein Conjecture
Anina Gruica, Alberto Ravagnani
In 2009, Etzion and Siberstein proposed a conjecture on the largest dimension of a linear space of matrices over a finite field in which all nonzero matrices are supported on a Fer…
Network Decoding
Allison Beemer, Altan Berdan Kilic, Alberto Ravagnani
We consider the problem of error control in a coded, multicast network, focusing on the scenario where the errors can occur only on a proper subset of the network edges. We model t…
Rank-Metric Codes, Semifields, and the Average Critical Problem
Anina Gruica, Alberto Ravagnani, John Sheekey +1
We investigate two fundamental questions intersecting coding theory and combinatorial geometry, with emphasis on their connections. These are the problem of computing the asymptoti…
Generalized weights of codes over rings and invariants of monomial ideals
Elisa Gorla, Alberto Ravagnani
We develop an algebraic theory of supports for -linear codes of fixed length, where is a finite commutative unitary ring. A support naturally induces a notion of generalized…
The Curious Case of the Diamond Network
Allison Beemer, Alberto Ravagnani
This work considers the one-shot capacity of communication networks subject to adversarial noise affecting a subset of network edges. In particular, we examine previously-establish…
Linear Cutting Blocking Sets and Minimal Codes in the Rank Metric
Gianira N. Alfarano, Martino Borello, Alessandro Neri +1
This work investigates the structure of rank-metric codes in connection with concepts from finite geometry, most notably the -analogues of projective systems and blocking sets.…