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Rank-Metric Codes and Their Applications
Hannes Bartz
(Autor)
·
Lukas Holzbaur
(Autor)
·
Hedongliang Liu
(Autor)
·
Now Publishers
· Tapa Blanda
Rank-Metric Codes and Their Applications - Bartz, Hannes ; Holzbaur, Lukas ; Liu, Hedongliang
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Reseña del libro "Rank-Metric Codes and Their Applications"
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.
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