Algebraic Geometry in Coding Theory and Cryptography

Chaoping Xing

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Language: English

Published by Princeton University Press Okt 2009, 2009

0691102880 / 9780691102887

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Neuware - This textbook equips graduate students and advanced undergraduates with the necessary theoretical tools for applying algebraic geometry to information theory, and it covers primary applications in coding theory and cryptography. Harald Niederreiter and Chaoping Xing provide the first detailed discussion of the interplay between nonsingular projective curves and algebraic function fields over finite fields. This interplay is fundamental to research in the field today, yet until now no other textbook has featured complete proofs of it. Niederreiter and Xing cover classical applications like algebraic-geometry codes and elliptic-curve cryptosystems as well as material not treated by other books, including function-field codes, digital nets, code-based public-key cryptosystems, and frameproof codes. Combining a systematic development of theory with a broad selection of real-world applications, this is the most comprehensive yet accessible introduction to the field available. - Introduces graduate students and advanced undergraduates to the foundations of algebraic geometry for applications to information theory - Provides the first detailed discussion of the interplay between projective curves and algebraic function fields over finite fields - Includes applications to coding theory and cryptography - Covers the latest advances in algebraic-geometry codes - Features applications to cryptography not treated in other books. …

Seller Inventory # 9780691102887

Title
Algebraic Geometry in Coding Theory and Cryptography
Author
Chaoping Xing
Publisher
Princeton University Press Okt 2009
Publication year
2009
Condition
Neu
Binding
Buch
Language
English
ISBN 10
0691102880
ISBN 13
9780691102887
Item weight
547 grams
Dimensions
241x164x24 mm

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