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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…
cs.IT2024
On perfect symmetric rank-metric codes
Usman Mushrraf, Ferdinando Zullo
Let be the space of symmetric matrices in . A subspace of equipped with the rank distance is called a symmetric ra…