Rank-Metric Codes and Their Applications

• DOI: 10.1561/0100000119
• Publication Date: 2022-05-02T11:34:27Z
• Authors: Hannes Bartz; Lukas Holzbaur; Hedongliang Liu; Sven Puchinger; Julian Renner; Antonia Wachter-Zeh
• Keywords: Rank (graph theory)

The rank metric measures the distance between two matrices by of their difference.Codes designed for have attracted considerable attention in recent years, reinforced network coding and further motivated a variety applications.In code-based cryptography, hardness corresponding generic decoding problem can lead to systems with reduced public-key size.In distributed data storage, codes been used repeatedly construct locality, coded caching, they employed placement symbols.This survey gives general introduction rank-metric codes, explains most important applications, highlights relevance these areas research.