Rank-Metric Codes and Their Applications (Foundations and Trends® in Communications and Information Theory)

Bartz, Hannes/ Holzbaur, Lukas/ Liu, Hedongliang

now publishers Inc（2022/05発売）

• 製本 Paperback:紙装版/ペーパーバック版／ページ数 172 p.
• 言語 ENG
• 商品コード 9781638280002

Full Description

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.

Contents

1. Introduction
2. Basics on Rank-Metric Codes
3. Applications to Code-Based Cryptosystems
4. Applications to Storage
5. Applications to Network Coding
6. Conclusion
Acknowledgements
References