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Rank-Metric Codes

Type
conference lecture
Date Issued
2023-12
Author(s)
Anna-Lena Horlemann  
Abstract
These lecture notes give an overview of the basic results for error correcting codes in the rank metric. The notes are divided into four chapters, where in the first one we give an introduction and explain the linear network coding channel and how matrix codes equipped with the rank metric can be used in such channels to correct errors occurring during communication. In the second chapter we introduce the general notions and properties of rank-metric codes, the third one deals with the class of Gabidulin codes and the related linearized polynomials, and the fourth chapter gives an introduction to rank metric code-based cryptography.
Language
English (United States)
URL
https://www.alexandria.unisg.ch/handle/20.500.14171/119132
File(s)
Thumbnail Image
Name

Rank_Metric_Codes.pdf

Size

392.22 KB

Format

Adobe PDF

Checksum (MD5)

c5c0b5bf7fc4183f691584eb1a57498b

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