Rank-Metric Codes and Their Applications

By Hannes Bartz, Hedongliang Liu, Lukas Holzbaur

Rank-metric codes date back to the 1970s and today play a vital role in many areas of coding theory and cryptography. In this survey the authors provide a comprehensive overview of the known properties of rank-metric codes and their applications. The authors begin with an accessible and complete introduction to rank-metric codes, their properties and their decoding. They then discuss at length rank-metric code-based quantum resistant encryption and authentication schemes. The application of rank-metric codes to distributed data storage is also outlined. Finally, the constructions of network codes based on MRD codes, constructions of subspace codes by lifting rank-metric codes, bounds on the cardinality, and the list decoding capability of subspace codes is covered in depth. Rank-Metric Codes and Their Applications provides the reader with a concise, yet complete, general introduction to rank-metric codes, explains their most important applications, and highlights their relevance to these areas of research.

• Format: Paperback
• Language: English
• ISBN: 1638280002
• ISBN13: 9781638280002
• Release Date: May 2022
• Publisher: Now Publishers
• Length: 172 Pages
• Weight: 0.56 lbs.
• Dimensions: 0.4" x 6.1" x 9.2"