Articles liés à Algebraic Function Fields and Codes
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.
Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.
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.
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Algebraic Function Fields and Codes (Graduate Texts in Mathematics, 254)
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Springer (edition 2nd ed. 2008), 2008
ISBN 10 : 3540768777
ISBN 13 : 9783540768777
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Hardcover. Etat : 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. N° de réf. du vendeur 3540768777-8-1
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Algebraic Function Fields and Codes (Graduate Texts in Mathematics, 254)
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Springer, 2008
ISBN 10 : 3540768777
ISBN 13 : 9783540768777
Ancien ou d'occasion
Couverture rigide
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hardcover. Etat : Fair. 2nd ed. 2008. H. N° de réf. du vendeur 230301086
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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 (Graduate Texts in Mathematics, 254)
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Algebraic Function Fields and Codes (Hardcover)
Edité par
Springer-Verlag Berlin and Heidelberg GmbH & Co. KG, Berlin, 2008
ISBN 10 : 3540768777
ISBN 13 : 9783540768777
Neuf
Couverture rigide
Vendeur : Grand Eagle Retail, Mason, OH, Etats-Unis
Évaluation du vendeur 5 sur 5 étoiles
Hardcover. Etat : new. Hardcover. 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 9783540768777
Quantité disponible : 1 disponible(s)
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Algebraic Function Fields and Codes
Edité par
Springer, 2008
ISBN 10 : 3540768777
ISBN 13 : 9783540768777
Ancien ou d'occasion
Couverture rigide
Vendeur : GreatBookPrices, Columbia, MD, Etats-Unis
Évaluation du vendeur 5 sur 5 étoiles
Etat : As New. Unread book in perfect condition. N° de réf. du vendeur 5843901
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Algebraic Function Fields and Codes
Edité par
Springer, Berlin, Springer Berlin Heidelberg, Springer Nov 2008, 2008
ISBN 10 : 3540768777
ISBN 13 : 9783540768777
Neuf
Couverture rigide
Vendeur : BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Allemagne
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Buch. 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. 360 pp. Englisch. N° de réf. du vendeur 9783540768777
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Algebraic Function Fields and Codes (Graduate Texts in Mathematics, 254)
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Algebraic Function Fields and Codes (Graduate Texts in Mathematics)
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Etat : New. 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: 360 pages, biography. BIC Classification: PBF; PBMW. Category: (P) Professional & Vocational. Dimension: 240 x 162 x 26. Weight in Grams: 668. . 2008. 2nd ed. 2008. Hardcover. . . . . N° de réf. du vendeur V9783540768777
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