3 papers
math.CO2026
On perfect flag-rank metric codes
Gianira N. Alfarano, Usman Mushrraf, Ferdinando Zullo
Flag-rank-metric codes arise as a natural generalization of rank-metric codes in the context of network communication. While recent research has mainly focused on algebraic and str…
cs.IT2025
One-weight codes in the sum-rank metric
Usman Mushrraf, Ferdinando Zullo
One-weight codes, in which all nonzero codewords share the same weight, form a highly structured class of linear codes with deep connections to finite geometry. While their classif…
cs.IT2025
Perfect Hermitian rank-metric codes
Usman Mushrraf
This study investigates Hermitian rank-metric codes, a special class of rank-metric codes, focusing on perfect codes and on the analysis of their covering properties. Firstly, we e…