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by Serge Vladut,Dmitry Nogin,Michael Tsfasman

  • ISBN: 0821843060
  • Category: Math & Science
  • Author: Serge Vladut,Dmitry Nogin,Michael Tsfasman
  • Subcategory: Mathematics
  • Other formats: lrf lrf rtf mbr
  • Language: English
  • Publisher: American Mathematical Society (September 1, 2007)
  • Pages: 338 pages
  • FB2 size: 1136 kb
  • EPUB size: 1793 kb
  • Rating: 4.3
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Download Algebraic Geometric Codes: Basic Notions (Mathematical Surveys and Monographs) fb2

Tsfasman, M. A. (Michael ., 1954-Algebraic geometry codes : basic notions, Michael Tsfasman, Serge Vladut, Dmitry Nogin. p. cm. - (Mathematical surveys and monographs, ISSN 0076-5376 ; v. 139) Includes bibliographical references and index.

Tsfasman, M. ISBN 978-0-8218-4306-2 (alk. paper) 1. Coding theory. 3. Geometry, Algebraic. I. Vladut, S. G. (Serge ., 1954- II. Nogin, Dmitry, 1966- III. Title.

Algebraic Geometric Codes. has been added to your Cart. by Serge Vladut (Author),‎ Dmitry Nogin (Author),‎ Michael Tsfasman (Author) & 0 more. Series: Mathematical Surveys and Monographs (Book 139).

Michael Tsfasman; Serge Vlǎduţ; Dmitry Nogin. 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.

Basic Algebraic Geometry Constructions and Their Parameters 194 . Duality and Spectra 200 . Decoding Problem 205 CONTENTS vii . Chapter 1 is devoted to the basics of coding theory; algebraic geometry does not appear here explicitly, though in fact algebraic geometry codes determine the choice of material and results. Dmitry Nogin thanks not only the above-named mathematicians but also his co-authors, who attracted him to undertake this work. We are deeply grateful to our parents for their care and to our wives for their tender love.

References to this book. Bibliographic information. Algebraic Geometric Codes: Basic Notions Volume 139 of Mathematical surveys and monographs. Michael A. Tsfasman, Serge G. Vlăduț, Dmitry Nogin. American Mathematical Soc. ISBN. 0821875205, 9780821875209.

Request PDF On Jan 1, 2007, Michael Tsfasman and others published Algebraic geometric codes. Book · January 2007 with 80 Reads. How we measure 'reads'. Publisher: American Mathematical Society, Cite this publication.

Algebraic-Geometric Codes. Algebraic-Geometric Codes M. Tsfasman,S.

Items related to Algebraic Geometric Codes: Basic Notions (Mathematical. Serge Vladut; Dmitry Nogin; Michael Tsfasman Algebraic Geometric Codes: Basic Notions (Mathematical Surveys and Monographs). ISBN 13: 9780821843062.

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

Michael Tsfasman, Serge Vlădut and Dmitry Nogin.

Michael Tsfasman, Serge Vlădut and Dmitry Nogin. Publisher: American Mathematical Society. There are four chapters. The first is devoted to the basics of coding theory; while the authors clearly let the chapters to come influence their choice of material and examples, algebraic geometry is barely mentioned at all.

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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