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rank codes cover
Ernst M. Gabidulin

Rank Codes

Editor: Vladimir Sidorenko
Translator: Vladimir Sidorenko
Details
Editorial Program: TUM.UP-TEACHING
Subject: Informatik
Language: Englisch
ISBN: 9783958840621
DOI: 10.14459/2021md1601193
Publication date: May 2021
1. Auflage
Description: 165 pages
Format: DIN A5
Price (print): 29,00 €
Volltext
Order print copy: Hugendubel, Lehmanns
About this book

This textbook contains the theory and some applications of the rank metric codes developed by the author and called Gabidulin Codes by the scientific community. A matrix code C is a set of matrices (codewords) of fixed size over a finite field. The code is considered in the rank metric that is defined as follows: The distance between two matrices is the rank of their difference. The code distance of a code C is the minimum distance between different code matrices. Given a metric, the main directions of coding theory are to design codes with a maximum number of codewords for a fixed code distance, to obtain the properties of the codes, to construct efficient decoding algorithms that find a code matrix nearest to a given matrix. This book can be recommended to students and researchers working with rank metric codes.
 

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