Title
Rank-Metric Codes and Their Applications
Abstract
The rank metric measures the distance between two matrices by the rank of their difference. Codes designed for the rank metric have attracted considerable attention in recent years, reinforced by network coding and further motivated by a variety of applications. In code-based cryptography, the hardness of the corresponding generic decoding problem can lead to systems with reduced public-key size. In distributed data storage, codes in the rank metric have been used repeatedly to construct codes with locality, and in coded caching, they have been employed for the placement of coded symbols. This survey gives a general introduction to rank-metric codes, explains their most important applications, and highlights their relevance to these areas of research.
Year
DOI
Venue
2022
10.1561/0100000119
FOUNDATIONS AND TRENDS IN COMMUNICATIONS AND INFORMATION THEORY
DocType
Volume
Issue
Journal
19
3
ISSN
Citations 
PageRank 
1567-2190
0
0.34
References 
Authors
0
6
Name
Order
Citations
PageRank
Hannes Bartz100.34
Lukas Holzbaur266.35
Hedongliang Liu302.37
Sven Puchinger400.34
Julian Renner532.44
Antonia Wachter-Zeh612933.65