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Sinopsis
The theory of algebraic function fields over finite fields has its origins in number theory. However, after Goppa`s discovery of algebraic geometry codes around 1980, many applications of function fields were found in different areas of mathematics and information theory, such as coding theory, sphere packings and lattices, sequence design, and cryptography. The use of function fields often led to better results than those of classical approaches.
This book presents survey articles on some of these new developments. Most of the material is directly related to the interaction between function fields and their various applications; in particular the structure and the number of rational places of function fields are of great significance. The topics focus on material which has not yet been presented in other books or survey articles. Wherever applications are pointed out, a special effort has been made to present some background concerning their use.
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Críticas
From the reviews:
"This book contains five surveys on different topic related to coding theory. The chapters are largely independent from each other and one can browse freely through them. ... The book is well-written and I think it may be valuable both for researchers and for students with background in algebra. ... In fact, the main interest of this book is that it focuses on topics not covered in other books on coding theory." (Fabio Mainardi, MAA Online, January, 2007)
Reseña del editor
The theory of algebraic function fields over finite fields has its origins in number theory. However, after Goppa`s discovery of algebraic geometry codes around 1980, many applications of function fields were found in different areas of mathematics and information theory. This book presents survey articles on some of these new developments. The topics focus on material which has not yet been presented in other books or survey articles.
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Topics in Geometry, Coding Theory and Cryptography
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Springer Netherlands Nov 2010, 2010
ISBN 10: 9048173450
ISBN 13: 9789048173457
Nuevo
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Librería: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Alemania
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Taschenbuch. Condición: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -The theory of algebraic function fields over finite fields has its origins in number theory. However, after Goppa`s discovery of algebraic geometry codes around 1980, many applications of function fields were found in different areas of mathematics and information theory. This book presents survey articles on some of these new developments. The topics focus on material which has not yet been presented in other books or survey articles. 212 pp. Englisch. Nº de ref. del artículo: 9789048173457
Cantidad disponible: 2 disponibles
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Topics in Geometry, Coding Theory and Cryptography
Publicado por
Springer Netherlands, 2010
ISBN 10: 9048173450
ISBN 13: 9789048173457
Nuevo
Tapa blanda
Librería: moluna, Greven, Alemania
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Condición: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Serves as an introduction and invitation to several main directions of research in the area of Function Fields over Finite Fields and their various applications to Information TheoryReasonably accessible (by a friendly presentation of topics) to i. Nº de ref. del artículo: 5821189
Cantidad disponible: Más de 20 disponibles
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Topics in Geometry, Coding Theory and Cryptography
Publicado por
Springer Netherlands, Springer Netherlands, 2010
ISBN 10: 9048173450
ISBN 13: 9789048173457
Nuevo
Taschenbuch
Librería: AHA-BUCH GmbH, Einbeck, Alemania
Calificación del vendedor: 5 de 5 estrellas
Taschenbuch. Condición: Neu. Druck auf Anfrage Neuware - Printed after ordering - The theory of algebraic function fields over finite fields has its origins in number theory. However, after Goppa`s discovery of algebraic geometry codes around 1980, many applications of function fields were found in different areas of mathematics and information theory, such as coding theory, sphere packings and lattices, sequence design, and cryptography. The use of function fields often led to better results than those of classical approaches.This book presents survey articles on some of these new developments. Most of the material is directly related to the interaction between function fields and their various applications; in particular the structure and the number of rational places of function fields are of great significance. The topics focus on material which has not yet been presented in other books or survey articles. Wherever applications are pointed out, a special effort has been made to present some background concerning their use. Nº de ref. del artículo: 9789048173457
Cantidad disponible: 1 disponibles
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Topics in Geometry, Coding Theory and Cryptography
Librería: GreatBookPrices, Columbia, MD, Estados Unidos de America
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Condición: New. Nº de ref. del artículo: 19111976-n
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Topics in Geometry, Coding Theory and Cryptography (Algebra and Applications, 6)
Librería: California Books, Miami, FL, Estados Unidos de America
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Condición: New. Nº de ref. del artículo: I-9789048173457
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Topics in Geometry, Coding Theory and Cryptography
Librería: GreatBookPrices, Columbia, MD, Estados Unidos de America
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Condición: As New. Unread book in perfect condition. Nº de ref. del artículo: 19111976
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Topics in Geometry, Coding Theory and Cryptography
Librería: GreatBookPricesUK, Woodford Green, Reino Unido
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Condición: As New. Unread book in perfect condition. Nº de ref. del artículo: 19111976
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Topics in Geometry, Coding Theory and Cryptography
Librería: GreatBookPricesUK, Woodford Green, Reino Unido
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Condición: New. Nº de ref. del artículo: 19111976-n
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Topics in Geometry, Coding Theory and Cryptography
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Condición: New. pp. 212. Nº de ref. del artículo: 2614416826
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Topics in Geometry, Coding Theory and Cryptography
Impresión bajo demandaLibrería: Majestic Books, Hounslow, Reino Unido
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Condición: New. Print on Demand pp. 212 49:B&W 6.14 x 9.21 in or 234 x 156 mm (Royal 8vo) Perfect Bound on White w/Gloss Lam. Nº de ref. del artículo: 11289701
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