Algebraic Geometric Codes: Basic Notions (Mathematical Surveys and Monographs, 139) - Softcover

Tsfasman, Michael; Vladut, Serge; Nogin, Dmitry

 
9781470470074: Algebraic Geometric Codes: Basic Notions (Mathematical Surveys and Monographs, 139)
Softcover
ISBN 10: 1470470071 ISBN 13: 9781470470074
Verlag: American Mathematical Society, 2022

Inhaltsangabe

The book is devoted to the theory of algebraic geometric codes, a subject formed on the border of several domains of mathematics. On one side there are such classical areas as algebraic geometry and number theory; on the other, information transmission theory, combinatorics, finite geometries, dense packings, etc.

The authors give a unique perspective on the subject. Whereas most books on coding theory build up coding theory from within, starting from elementary concepts and almost always finishing without reaching a certain depth, this book constantly looks for interpretations that connect coding theory to algebraic geometry and number theory.

There are no prerequisites other than a standard algebra graduate course. The first two chapters of the book can serve as an introduction to coding theory and algebraic geometry respectively. Special attention is given to the geometry of curves over finite fields in the third chapter. Finally, in the last chapter the authors explain relations between all of these: the theory of algebraic geometric codes.

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Über die Autorin bzw. den Autor

Michael Tsfasman, French-Russian Poncelet Laboratory (CNRS and Ind. Univ. Moscow), Russia, Institut de Mathematiques de Luminy, France, and Institute for Information Transmission Problems, Moscow, Russia.

Serge Vladut, Institut de Mathematiques de Luminy, France, and Institute for Information Transmission Problems, Moscow, Russia.

Dmitry Nogin, Institute for Information Transmission Problems, Moscow, Russia.

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Verlag
American Mathematical Society
Erscheinungsdatum
2022
Sprache
Englisch
ISBN 10 
1470470071
ISBN 13 
9781470470074
Einband
Taschenbuch
Anzahl der Seiten
338
Kontakt zum Hersteller
Nicht verfügbar
Verantwortliche Person
Nicht verfügbar

Weitere beliebte Ausgaben desselben Titels

9780821843062: Algebraic Geometric Codes: Basic Notions (Mathematical Surveys and Monographs, Band 139)

Vorgestellte Ausgabe

ISBN 10:  0821843060 ISBN 13:  9780821843062
Verlag: American Mathematical Society, 2007
Hardcover