Authors

• Usman Mushrraf University of Campania "Luigi Vanvitalli", Italy

DOI: https://doi.org/10.26493/2590-9770.1836.a49 Keywords: Hermitian matrix, packing density, perfect code Abstract

This study investigates Hermitian rank-metric codes, a special class of rank-metric codes, focusing on perfect codes and on the analysis of their packing properties. Firstly, we establish bounds on the size of spheres in the space of Hermitian matrices and, as a consequence, we show that non-trivial perfect codes do not exist in the Hermitian case. We conclude the paper by examining their packing density.

Issue Section

Open Problems on Rank Metric Codes