Algebraic Function Fields Codes by Stichtenoth Henning (33 results)

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Published by Springer, 2010
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Published by Springer, 2010
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Published by Springer, 2010
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Condition: Poor. This is an ex-library book and may have the usual library/used-book markings inside.This book has soft covers. Book contains pencil markings. In poor condition, suitable as a reading copy. Please note the Image in this listing is a stock photo and may not match the covers of the actual item,700grams, ISBN:978364…2095566.

Language: English
Published by Springer, 2010
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Language: English
Published by Springer, 2010
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Published by Springer 2010-11-18, 2010
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Published by Springer, 2010
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Published by Springer, 2010
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Published by Springer, 2008
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Published by Springer, 2010
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Language: English
Published by Springer, 2008
- Hardcover
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Language: English
Published by Springer, 2008
- Hardcover
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Condition: New. In English.

Language: English
Published by Springer-Verlag Berlin and Heidelberg GmbH and Co. KG, DE, 2008
- Hardcover
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Hardback. Condition: New. 2nd ed. 2008. 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 inc…luded 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.

Language: English
Published by Springer-Verlag, Berlin, Heidelberg, New York, London, Paris, Tokyo, Hong Kong, Barcelona, Budapest, 1993
- Softcover
- First Edition
Seller: Versandantiquariat Abendstunde, Ludwigshafen am Rhein, GermanyVersandantiquariat Abendstunde
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Softcover. Condition: gut. Erste Aufl. Kartonierte Broschur mit Rücken- und Deckeltitel. Der Buchrücken etwas lichtgebleicht, die Schnitte leicht berieben, das Titelblatt mit Schatten eines entfernten Etiketts, einzelne Seiten mit kleinem bzw. leichtem Knick einer Ecke, ansonsten guter Erhaltungszustand. "This book has two objec…tives. The first is to fill a void in the existing mathematical literature by providing a modern, self-contained and in-depth exposition of the theory of algebraic function fields. Topics include the Riemann-Roch theorem, algebraic extensions of function fields, ramifications theory and differentials. Particular emphasis is placed on function fields over a finite constant field, leading into zeta functions and the Hasse-Weil theorem. Numerous examples illustrate the general theory. Error-correcting codes are in widespread use for the reliable transmission of information. Perhaps the most fascinating of all the ties that link the theory of these codes to mathematics is the construction by V. D. Goppa, of powerful codes using techniques borrowed from algebraic geometry. Algebraic function fields provide the most elementary approach to Goppa's ideas, and the second objective of this book is to provide an introduction to Goppa's algebraic-geometric codes along these lines. The codes, their parameters and links with traditional codes such as classical Goppa, Peed-Solomon and BCH codes are treated at an early stage of the book. Subsequent chapters include a decoding algorithm for these codes as well as a discussion of their subfield subcodes and trace codes. Stichtenoth's book will be very useful to students and researchers in algebraic geometry and coding theory and to computer scientists and engineers interested in information transmission." (Verlagstext) Henning Stichtenoth (* 3. November 1944) ist ein deutscher Mathematiker. Stichtenoth promovierte 1972 bei Peter Roquette an der Ruprecht-Karls-Universität Heidelberg über die Automorphismengruppe eines algebraischen Funktionenkörpers von Primzahlcharakteristik. Bis 2007 war er Professor an der Universität Duisburg-Essen. Zurzeit ist er Professor an der Sabanci-Universität in Istanbul. Er befasst sich mit algebraischer Geometrie, algebraischen Funktionenkörpern und deren Anwendung in der Kodierungstheorie und Kryptographie. (Wikipedia) In englischer Sprache. X, 260, (2) pages. Groß 8° (155 x 235mm).

Language: English
Published by Springer Berlin Heidelberg, 2008
- Softcover
Seller: Revaluation Books, Exeter, United KingdomRevaluation Books
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Paperback. Condition: Brand New. 2nd ed. softcover of orig. ed. 2008 edition. 368 pages. 8.90x6.00x1.00 inches. In Stock.

Language: English
Published by Springer, 2008
- Hardcover
Seller: beneton, Millsboro, DE, U.S.A.beneton
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hardcover. Condition: Fair. 2nd ed. 2008.
More imagesLanguage: English
Published by Springer, 2010
- Softcover
Seller: preigu, Osnabrück, Germanypreigu
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Taschenbuch. Condition: Neu. Algebraic Function Fields and Codes | Henning Stichtenoth | Taschenbuch | Graduate Texts in Mathematics | xiv | Englisch | 2010 | Springer | EAN 9783642095566 | Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg, juergen[dot]hartmann[at]springer[dot]com | Anb…ieter: preigu.

Language: English
Published by Springer, 2010
- Softcover
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Taschenbuch. Condition: 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.

- Softcover
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Paperback. Condition: Neu. neu, noch in Schutzfolie, Versand spätestens am nächsten Werktag Sprache: Englisch Gewicht in Gramm: 460.

Language: English
Published by Springer, Berlin, Springer, 2008
- Hardcover
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Buch. Condition: 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.

Language: English
Published by Springer, 2008
- Hardcover
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Language: English
Published by Springer-Verlag Berlin and Heidelberg GmbH and Co. KG, DE, 2008
- Hardcover
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Hardback. Condition: New. 2nd ed. 2008.

Language: English
Published by Springer, 2010
- Softcover
- Print on Demand
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Language: English
Published by Springer, Springer Nov 2010, 2010
- Softcover
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Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - 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. 376 pp. Englisch.

Language: English
Published by Springer Berlin Heidelberg, 2010
- Softcover
- Print on Demand
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Condition: 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 theore…m, zeta functions and Hasse-Weil .