Algebraic Function Fields and Codes
Henning Stichtenoth
ISBN 10: 3642095569 ISBN 13: 9783642095566
Edité par Springer-Verlag Berlin and Heidelberg GmbH & Co. KG, 2010
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A propos de cet article
Description :
This is an expanded edition of a popular textbook that provides a purely algebraic, self-contained and in-depth exposition of the theory of function fields. It contains numerous exercises, some fairly simple, some quite difficult. Series: Graduate Texts in Mathematics. Num Pages: 374 pages, biography. BIC Classification: PBF; PBMW; PBW; UGC; UMB. Category: (P) Professional & Vocational. Dimension: 234 x 156 x 19. Weight in Grams: 575. . 2010. Softcover reprint of hardcover 2nd ed. 2008. Paperback. . . . . N° de réf. du vendeur V9783642095566
Synopsis :
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.
Présentation de l'éditeur:
This is an expanded edition of a popular textbook that provides a purely algebraic, self-contained and in-depth exposition of the theory of function fields. It contains numerous exercises, some fairly simple, some quite difficult.
Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.
Détails bibliographiques
Titre : Algebraic Function Fields and Codes
Éditeur : Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Date d'édition : 2010
Reliure : Couverture souple
Etat : New
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Algebraic Function Fields and Codes
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ISBN 10 : 3642095569
ISBN 13 : 9783642095566
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Algebraic Function Fields and Codes
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Springer Berlin Heidelberg, 2010
ISBN 10 : 3642095569
ISBN 13 : 9783642095566
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Etat : New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Well-established popular textbookThis book links two subjects: algebraic geometry and coding theory. It uses a novel approach based on the theory of algebraic function fields. Coverage includes the Riemann-Rock theorem, zeta functions and Hasse-Weil . N° de réf. du vendeur 5048561
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Algebraic Function Fields and Codes (Graduate Texts in Mathematics, 254)
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Algebraic Function Fields and Codes
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Algebraic Function Fields and Codes
Edité par
Springer Berlin Heidelberg, 2010
ISBN 10 : 3642095569
ISBN 13 : 9783642095566
Neuf
Taschenbuch
Vendeur : AHA-BUCH GmbH, Einbeck, Allemagne
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Taschenbuch. Etat : Neu. 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. N° de réf. du vendeur 9783642095566
Quantité disponible : 1 disponible(s)
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Algebraic Function Fields and Codes
Edité par
Springer Berlin Heidelberg, Springer Berlin Heidelberg Nov 2010, 2010
ISBN 10 : 3642095569
ISBN 13 : 9783642095566
Neuf
Taschenbuch
Vendeur : buchversandmimpf2000, Emtmannsberg, BAYE, Allemagne
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Taschenbuch. Etat : Neu. This item is printed on demand - Print on Demand Titel. Neuware -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.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 376 pp. Englisch. N° de réf. du vendeur 9783642095566
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Algebraic Function Fields and Codes
Edité par
Springer Berlin Heidelberg Nov 2010, 2010
ISBN 10 : 3642095569
ISBN 13 : 9783642095566
Neuf
Taschenbuch
Vendeur : BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Allemagne
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Taschenbuch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This book links two subjects: algebraic geometry and coding theory. It uses a novel approach based on the theory of algebraic function fields. Coverage includes the Riemann-Rock theorem, zeta functions and Hasse-Weil's theorem as well as Goppa' s algebraic-geometric codes and other traditional codes. It will be useful to researchers in algebraic geometry and coding theory and computer scientists and engineers in information transmission. 376 pp. Englisch. N° de réf. du vendeur 9783642095566
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Algebraic Function Fields and Codes (Paperback)
Edité par
Springer-Verlag Berlin and Heidelberg GmbH & Co. KG, Berlin, 2010
ISBN 10 : 3642095569
ISBN 13 : 9783642095566
Neuf
Paperback
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Paperback. Etat : new. Paperback. 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. 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. The codes which are constructed from algebraic function ?elds were ?rst introduced by V. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. N° de réf. du vendeur 9783642095566
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Algebraic Function Fields and Codes (Graduate Texts in Mathematics)
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