algebraic function fields codes von stichtenoth henning (17 Ergebnisse)

Softcover. Zustand: Fine. Leichte Risse; Farbveränderung durch Alter/Sonne. This book has two objectives. 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.

Softcover. Zustand: 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 objectives. 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).

Softcover. Zustand: Sehr gut. Sauberes Exemplar mit nur sehr geringen Gebrauchs-/Regalspuren. Broschierter Einband. 270 Seiten. 426 Gramm. 24x16cm. Englisch. X, 260 Seiten.

Zustand: Good. 1st Edition. Former library book; may include library markings. Used book that is in clean, average condition without any missing pages.

Zustand: Fine. First edition, first printing, 260 pp., Paperback, fine. - If you are reading this, this item is actually (physically) in our stock and ready for shipment once ordered. We are not bookjackers. Buyer is responsible for any additional duties, taxes, or fees required by recipient's country.

Hardcover. Zustand: Very Good. 2nd ed. 2008. It's a well-cared-for item that has seen limited use. The item may show minor signs of wear. All the text is legible, with all pages included. It may have slight markings and/or highlighting.

Zustand: New. This is a Brand-new US Edition. This Item may be shipped from US or any other country as we have multiple locations worldwide.

kartoniert. Zustand: Sehr gut. Zust: Gutes Exemplar. 260 Seiten, mit Abbildungen Englisch 394g.

Paperback. Zustand: Very Good. Type: Book N.B. Small plain label to inside front cover.

Zustand: 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:9783642095566.

Zustand: New. pp. x + 260.

Taschenbuch. Zustand: 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.

Zustand: New. In.

Buch. Zustand: 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.

Zustand: New. In English.

Paperback. Zustand: Brand New. 2nd ed. softcover of orig. ed. 2008 edition. 368 pages. 8.90x6.00x1.00 inches. In Stock.

Gebunden. Zustand: New. Well-established popular textbookWell-established popular textbookIncludes supplementary material: sn.pub/extrasThis book links two subjects: algebraic geometry and coding theory. It uses a novel approach based on the theory of alge.