2 papers
math.CO2026
Irreducible Ferrers diagrams in the Etzion-Silberstein conjecture
Hugo Beeloo-Sauerbier Couvée, Alessandro Neri
The Etzion-Silberstein conjecture asserts that, for any finite field , Ferrers diagram , and integer , there exists a linear matrix code supported on $\ma…
cs.IT2026
An infinite family of non-extendable MRD codes
Daniele Bartoli, Alessandro Giannoni, Giuseppe Marino +1
In the realm of rank-metric codes, Maximum Rank Distance (MRD) codes are optimal algebraic structures attaining the Singleton-like bound. A major open problem in this field is dete…