Rank-Metric Codes And Their Applications (Foundations And Trends(R) In Communications And Information)

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.

• | Author: Hannes Bartz|Lukas Holzbaur|Hedongliang Liu|Sven Puchinger|Julian Renner|Antonia Wachter-Zeh
• | Publisher: Now Publishers
• | Publication Date: May 02, 2022
• | Number of Pages: 174 pages
• | Language: English
• | Binding: Paperback
• | ISBN-10: 1638280002
• | ISBN-13: 9781638280002