Algebraic Function Fields Codes by Stichtenoth Henning (34 results)

Author
Title
Refine with Advanced Search

Refine your search

  • Books (34)

to

Custom price range (US$)

to

  • Language: English

    Published by Springer, 1993

    3540564896 / 9783540564898

    • Softcover

    Seller: Phatpocket Limited, Waltham Abbey, HERTS, United KingdomPhatpocket Limited

    5-star seller
    Contact seller

    Condition: Used - Good

    US$ 41.31

    US$ 14.22 shipping 
    Ships from United Kingdom to U.S.A.

    Quantity: 1 available

    Condition: Good. Your purchase helps support Sri Lankan Children's Charity 'The Rainbow Centre'. Ex-library, so some stamps and wear, but in good overall condition. Our donations to The Rainbow Centre have helped provide an education and a safe haven to hundreds of children who live in appalling conditions.

  • Language: English

    Published by Springer, 2010

    3642095569 / 9783642095566

    Series: Book 68 of 180 - Graduate Texts in Mathematics

    • Softcover

    Seller: ThriftBooks-Dallas, Dallas, TX, U.S.A.ThriftBooks-Dallas

    5-star seller
    Contact seller

    Condition: Used - Very good

    US$ 57.15

     Free Shipping 
    Ships within U.S.A.

    Quantity: 1 available

    Paperback. Condition: Very Good. No Jacket. May have limited writing in cover pages. Pages are unmarked. ~ ThriftBooks: Read More, Spend Less.

  • Language: English

    Published by Springer Verlag, 1993

    0387564896 / 9780387564890

    • Softcover

    Seller: Romtrade Corp., STERLING HEIGHTS, MI, U.S.A.Romtrade Corp.

    5-star seller
    Contact seller

    Condition: New

    US$ 59.73

     Free Shipping 
    Ships within U.S.A.

    Quantity: 1 available

    Condition: 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.

  • Language: English

    Published by Springer Verlag, 1993

    0387564896 / 9780387564890

    • Softcover

    Seller: Peak Dragon Books, Alfreton, United KingdomPeak Dragon Books

    5-star seller
    Contact seller

    Association member: IOBAPBFA

    Condition: Used - Very good

    US$ 20.31

    US$ 40.11 shipping 
    Ships from United Kingdom to U.S.A.

    Quantity: 1 available

    Paperback. Condition: Near Very Good. Top edge dust marked. Place and date of purchase to endpaper. The picture on our listing is a photograph of the actual book NOT a stock image. [Loc. J9-5].

  • Language: English

    Published by Springer, 1993

    3540564896 / 9783540564898

    • Softcover

    Seller: Fireside Bookshop, Stroud, GLOS, United KingdomFireside Bookshop

    5-star seller
    Contact seller

    Association member: PBFA

    Condition: Used - Very good

    US$ 41.31

    US$ 33.42 shipping 
    Ships from United Kingdom to U.S.A.

    Quantity: 1 available

    Paperback. Condition: Very Good. Dust Jacket Condition: No d/j as Published. Type: Book N.B. Small plain label to inside front cover.

  • Language: English

    Published by Springer, 2010

    3642095569 / 9783642095566

    Series: Book 68 of 180 - Graduate Texts in Mathematics

    • Softcover

    Seller: GreatBookPrices, Columbia, MD, U.S.A.GreatBookPrices

    5-star seller
    Contact seller

    Condition: New

    US$ 73.91

    US$ 2.64 shipping 
    Ships within U.S.A.

    Quantity: Over 20 available

    Condition: New.

  • Language: English

    Published by Springer, 2010

    3642095569 / 9783642095566

    Series: Book 68 of 180 - Graduate Texts in Mathematics

    • Softcover

    Seller: Anybook.com, Lincoln, United KingdomAnybook.com

    5-star seller
    Contact seller

    Condition: Used - Poor

    US$ 63.02

    US$ 18.18 shipping 
    Ships from United Kingdom to U.S.A.

    Quantity: 1 available

    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:9783642095566.

  • Language: English

    Published by Springer, 2010

    3642095569 / 9783642095566

    Series: Book 68 of 180 - Graduate Texts in Mathematics

    • Softcover

    Seller: GreatBookPrices, Columbia, MD, U.S.A.GreatBookPrices

    5-star seller
    Contact seller

    Condition: Used - As new

    US$ 87.66

    US$ 2.64 shipping 
    Ships within U.S.A.

    Quantity: Over 20 available

    Condition: As New. Unread book in perfect condition.

  • Language: English

    Published by Berlin. Springer Verlag., 1993

    3540564896 / 9783540564898

    • Softcover

    Seller: Antiquariat Bernhardt, Kassel, GermanyAntiquariat Bernhardt

    5-star seller
    Contact seller

    Condition: Used - Fine

    US$ 38.97

    US$ 57.20 shipping 
    Ships from Germany to U.S.A.

    Quantity: 1 available

    kartoniert kartoniert. Condition: Sehr gut. 260 Seiten, mit Abbildungen Zust: Gutes Exemplar. Schneller Versand und persönlicher Service - jedes Buch händisch geprüft und beschrieben - aus unserem Familienbetrieb seit über 25 Jahren. Eine Rechnung mit ausgewiesener Mehrwertsteuer liegt jeder unserer Lieferungen bei. Wir versenden mit der deutschen Post. Sprache: Englisch Gewicht in Gramm: 394.

  • Language: English

    Published by Springer, 2010

    3642095569 / 9783642095566

    Series: Book 68 of 180 - Graduate Texts in Mathematics

    • Softcover

    Seller: Ria Christie Collections, Uxbridge, United KingdomRia Christie Collections

    5-star seller
    Contact seller

    Condition: New

    US$ 84.05

    US$ 15.09 shipping 
    Ships from United Kingdom to U.S.A.

    Quantity: Over 20 available

    Condition: New. In English.

  • Language: English

    Published by Springer 2010-11-18, 2010

    3642095569 / 9783642095566

    Series: Book 68 of 180 - Graduate Texts in Mathematics

    • Softcover

    Seller: Chiron Media, Wallingford, United KingdomChiron Media

    5-star seller
    Contact seller

    Condition: New

    US$ 80.24

    US$ 20.71 shipping 
    Ships from United Kingdom to U.S.A.

    Quantity: 10 available

    Paperback. Condition: New.

  • Language: English

    Published by Springer, 2010

    3642095569 / 9783642095566

    Series: Book 68 of 180 - Graduate Texts in Mathematics

    • Softcover

    Seller: GreatBookPricesUK, Woodford Green, United KingdomGreatBookPricesUK

    5-star seller
    Contact seller

    Condition: New

    US$ 83.65

    US$ 20.05 shipping 
    Ships from United Kingdom to U.S.A.

    Quantity: Over 20 available

    Condition: New.

  • Language: English

    Published by Springer Verlag, Berlin, 1993

    3540564896 / 9783540564898

    • Softcover

    Seller: exlibris24 Versandantiquariat, Freiburg im Breisgau, Germanyexlibris24 Versandantiquariat

    5-star seller
    Contact seller

    Condition: Used - Fine

    US$ 23.50

    US$ 80.13 shipping 
    Ships from Germany to U.S.A.

    Quantity: 1 available

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

  • Language: English

    Published by Springer, 2010

    3642095569 / 9783642095566

    Series: Book 68 of 180 - Graduate Texts in Mathematics

    • Softcover

    Seller: GreatBookPricesUK, Woodford Green, United KingdomGreatBookPricesUK

    5-star seller
    Contact seller

    Condition: Used - As new

    US$ 92.30

    US$ 20.05 shipping 
    Ships from United Kingdom to U.S.A.

    Quantity: Over 20 available

    Condition: As New. Unread book in perfect condition.

  • Language: English

    Published by Springer-Verlag Berlin and Heidelberg GmbH & Co. KG, Berlin, 2008

    3540768777 / 9783540768777

    Series: Book 68 of 180 - Graduate Texts in Mathematics

    • Hardcover

    Seller: Grand Eagle Retail, Bensenville, IL, U.S.A.Grand Eagle Retail

    5-star seller
    Contact seller

    Condition: New

    US$ 112.71

     Free Shipping 
    Ships within U.S.A.

    Quantity: 1 available

    Hardcover. Condition: 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.

  • Language: English

    Published by Springer, 2008

    3540768777 / 9783540768777

    Series: Book 68 of 180 - Graduate Texts in Mathematics

    • Hardcover

    Seller: Ria Christie Collections, Uxbridge, United KingdomRia Christie Collections

    5-star seller
    Contact seller

    Condition: New

    US$ 112.25

    US$ 15.09 shipping 
    Ships from United Kingdom to U.S.A.

    Quantity: Over 20 available

    Condition: New. In English.

  • Language: English

    Published by Springer, 2008

    3540768777 / 9783540768777

    Series: Book 68 of 180 - Graduate Texts in Mathematics

    • Hardcover

    Seller: California Books, Miami, FL, U.S.A.California Books

    4-star seller
    Contact seller

    Condition: New

    US$ 127.00

     Free Shipping 
    Ships within U.S.A.

    Quantity: Over 20 available

    Condition: New.

  • Language: English

    Published by Springer-Verlag Berlin and Heidelberg GmbH and Co. KG, DE, 2008

    3540768777 / 9783540768777

    Series: Book 68 of 180 - Graduate Texts in Mathematics

    • Hardcover

    Seller: Rarewaves.com USA, London, LONDO, United KingdomRarewaves.com USA

    5-star seller
    Contact seller

    Condition: New

    US$ 141.01

     Free Shipping 
    Ships from United Kingdom to U.S.A.

    Quantity: Over 20 available

    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 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-Verlag, Berlin, Heidelberg, New York, London, Paris, Tokyo, Hong Kong, Barcelona, Budapest, 1993

    3540564896 / 9783540564898

    • Softcover
    • First Edition

    Seller: Versandantiquariat Abendstunde, Ludwigshafen am Rhein, GermanyVersandantiquariat Abendstunde

    5-star seller
    Contact seller

    Condition: Used - Very good

    US$ 21.20

    US$ 120.37 shipping 
    Ships from Germany to U.S.A.

    Quantity: 1 available

    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 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).

  • Language: English

    Published by Springer Berlin Heidelberg, 2008

    3642095569 / 9783642095566

    Series: Book 68 of 180 - Graduate Texts in Mathematics

    • Softcover

    Seller: Revaluation Books, Exeter, United KingdomRevaluation Books

    5-star seller
    Contact seller

    Condition: New

    US$ 131.59

    US$ 16.71 shipping 
    Ships from United Kingdom to U.S.A.

    Quantity: 2 available

    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, 2010

    3642095569 / 9783642095566

    Series: Book 68 of 180 - Graduate Texts in Mathematics

    • Softcover

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

    5-star seller
    Contact seller

    Condition: New

    US$ 118.84

    US$ 34.96 shipping 
    Ships from Germany to U.S.A.

    Quantity: 1 available

    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.

  • More images

    Language: English

    Published by Springer, 2010

    3642095569 / 9783642095566

    Series: Book 68 of 180 - Graduate Texts in Mathematics

    • Softcover

    Seller: preigu, Osnabrück, Germanypreigu

    5-star seller
    Contact seller

    Condition: New

    US$ 75.45

    US$ 80.25 shipping 
    Ships from Germany to U.S.A.

    Quantity: 5 available

    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 | Anbieter: preigu.

  • Language: English

    Published by Springer, 2003

    3540564896 / 9783540564898

    • Softcover

    Seller: Vulkaneifel Bücher, Birgel, GermanyVulkaneifel Bücher

    5-star seller
    Contact seller

    Condition: New

    US$ 29.46

    US$ 142.61 shipping 
    Ships from Germany to U.S.A.

    Quantity: 4 available

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

  • Language: English

    Published by Springer, 2008

    3540768777 / 9783540768777

    Series: Book 68 of 180 - Graduate Texts in Mathematics

    • Hardcover

    Seller: beneton, Millsboro, DE, U.S.A.beneton

    5-star seller
    Contact seller

    Condition: Used - Fair

    US$ 179.00

    US$ 5.75 shipping 
    Ships within U.S.A.

    Quantity: 1 available

    hardcover. Condition: Fair. 2nd ed. 2008.

  • Language: English

    Published by Springer, Berlin, Springer, 2008

    3540768777 / 9783540768777

    Series: Book 68 of 180 - Graduate Texts in Mathematics

    • Hardcover

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

    5-star seller
    Contact seller

    Condition: New

    US$ 161.92

    US$ 34.96 shipping 
    Ships from Germany to U.S.A.

    Quantity: 2 available

    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

    3540768777 / 9783540768777

    Series: Book 68 of 180 - Graduate Texts in Mathematics

    • Hardcover

    Seller: Mispah books, Redhill, SURRE, United KingdomMispah books

    4-star seller
    Contact seller

    Condition: Used - As new

    US$ 181.76

    US$ 33.42 shipping 
    Ships from United Kingdom to U.S.A.

    Quantity: 1 available

    Hardcover. Condition: Like New. LIKE NEW. SHIPS FROM MULTIPLE LOCATIONS. book.

  • Language: English

    Published by Springer-Verlag Berlin and Heidelberg GmbH & Co. KG, Berlin, 2008

    3540768777 / 9783540768777

    Series: Book 68 of 180 - Graduate Texts in Mathematics

    • Hardcover

    Seller: AussieBookSeller, Truganina, VIC, AustraliaAussieBookSeller

    5-star seller
    Contact seller

    Condition: New

    US$ 188.28

    US$ 37.00 shipping 
    Ships from Australia to U.S.A.

    Quantity: 1 available

    Hardcover. Condition: 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 our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability.

  • Language: English

    Published by Springer-Verlag Berlin and Heidelberg GmbH and Co. KG, DE, 2008

    3540768777 / 9783540768777

    Series: Book 68 of 180 - Graduate Texts in Mathematics

    • Hardcover

    Seller: Rarewaves.com UK, London, United KingdomRarewaves.com UK

    5-star seller
    Contact seller

    Condition: New

    US$ 141.18

    US$ 86.89 shipping 
    Ships from United Kingdom to U.S.A.

    Quantity: Over 20 available

    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 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, 2010

    3642095569 / 9783642095566

    Series: Book 68 of 180 - Graduate Texts in Mathematics

    • Softcover
    • Print on Demand

    Seller: Brook Bookstore On Demand, Napoli, NA, ItalyBrook Bookstore On Demand

    5-star seller
    Contact seller

    Condition: New

    US$ 68.76

    US$ 7.80 shipping 
    Ships from Italy to U.S.A.

    Quantity: Over 20 available

    Condition: new. Questo è un articolo print on demand.

  • Language: English

    Published by Springer, Springer Nov 2010, 2010

    3642095569 / 9783642095566

    Series: Book 68 of 180 - Graduate Texts in Mathematics

    • Softcover
    • Print on Demand

    Seller: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, GermanyBuchWeltWeit Ludwig Meier e.K.

    5-star seller
    Contact seller

    Condition: New

    US$ 82.11

    US$ 26.37 shipping 
    Ships from Germany to U.S.A.

    Quantity: 2 available

    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.