Algebraic Function Fields and Codes

Language: English

Published by Springer, Berlin, Springer, 2008

3540768777 / 9783540768777

Series: Book 68 of 180 - Graduate Texts in Mathematics

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Seller: AHA-BUCH GmbH, Einbeck, GermanyAHA-BUCH GmbH

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Druck auf Anfrage Neuware - Printed after ordering - 15 years after the rst printing of Algebraic Function Fields and Codes,the mathematics editors of Springer Verlag encouraged me to revise and extend the book. Besides numerous minor corrections and amendments, the second edition di ers from the rst one in two respects. Firstly I have included a series of exercises at the end of each chapter. Some of these exercises are fairly easy and should help the reader to understand the basic concepts, others are more advanced and cover additional material. Secondly a new chapter titled 'Asymptotic Bounds for the Number of Rational Places' has been added. This chapter contains a detailed presentation of the asymptotic theory of function elds over nite elds, including the explicit construction of some asymptotically good and optimal towers. Based on these towers, a complete and self-contained proof of the Tsfasman-Vladut-Zink Theorem is given. This theorem is perhaps the most beautiful application of function elds to coding theory. The codes which are constructed from algebraic function elds were rst introduced by V. D. Goppa. Accordingly I referred to them in the rst edition as geometric Goppa codes. Since this terminology has not generally been - cepted in the literature, I now use the more common term algebraic geometry codes or AG codes. I would like to thank Alp Bassa, Arnaldo Garcia, Cem Guneri, Sevan Harput and Alev Topuzo glu for their help in preparing the second edition.…

Seller Inventory # 9783540768777

Title
Algebraic Function Fields and Codes
Author
Henning Stichtenoth
Publisher
Springer, Berlin, Springer
Publication year
2008
Condition
Neu
Binding
Buch
Language
English
ISBN 10
3540768777
ISBN 13
9783540768777
Edition
2nd Edition
Item weight
736 grams
Dimensions
240x159x26 mm
Series
Book 68 of 180: Graduate Texts in Mathematics

AHA-BUCH GmbH

Einbeck, Germany

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