Rank Codes

von Ernst M. Gabidulin

181 Seiten, Taschenbuch

Kurzbeschreibung des Verlags

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 effcient 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.

• Themen: Informatik und Informationstechnologie
• ISBN: 9783958840621
• Sprache: Englisch
• Erscheinungsdatum: 03.05.2021
• Größe: 14.8 x 21 cm
• Verlag: TUM.University Press
• Übersetzung: Vladimir Sidorenko
• Herausgegeben von: Vladimir Sidorenko