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math.CO2026
Non-additive symmetric rank-metric codes
Marta Messia, Ferdinando Zullo
We study non-additive rank-metric codes contained in the space of symmetric matrices over a finite field. Our main focus is on symmetric -codes. For odd , we introduce a quot…
math.CO2026
On the Etzion-Silberstein conjecture for block Ferrers diagrams
Marco Calderini, Marta Messia, Alessandro Neri
Ferrers diagram rank-metric codes are rank-metric codes with prescribed support, and their dimension is bounded from above by the Etzion--Silberstein bound. In this paper, we study…
math.CO2026
On the number of inequivalent linearized Reed-Solomon codes
Jonathan Mannaert, Marta Messia, Ferdinando Zullo
Linearized Reed-Solomon (LRS) codes form an important family of maximum sum-rank distance (MSRD) codes that generalize both Reed--Solomon codes and Gabidulin codes. In this paper w…