Algebraic Geometry in Coding Theory and Cryptography

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9780691102887: Algebraic Geometry in Coding Theory and Cryptography
Críticas:

"Coding theory has a rapidly growing corpus of knowledge, and now appears explicitly in several classifications in the MSC. [This] book . . . is certainly an important addition to the literature in this area and a serious candidate for becoming one of the standard textbooks in related courses." --Cicero Carvalho, Mathematical Reviews

Reseña del editor:


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


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Niederreiter, Harald; Xing, Chaoping
Editorial: Princeton University Press (2009)
ISBN 10: 0691102880 ISBN 13: 9780691102887
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Descripción Princeton University Press, 2009. Hardcover. Estado de conservación: New. New - Excellent, clean condition - hard bound *** Publisher: Princeton University Press 2009 ***. Nº de ref. de la librería 19-10-algebraic5-p0715

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Niederreiter, Harald; Xing, Chaoping
Editorial: Princeton University Press (2009)
ISBN 10: 0691102880 ISBN 13: 9780691102887
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Descripción Princeton University Press, 2009. Hardcover. Estado de conservación: New. New - excellent, clean condition, hard-bound *** Princeton University Press. Nº de ref. de la librería A-p1115-12653

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Niederreiter, Harald; Xing, Chaoping
Editorial: Princeton University Press (2009)
ISBN 10: 0691102880 ISBN 13: 9780691102887
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Descripción Princeton University Press, 2009. Hardcover. Estado de conservación: New. book. Nº de ref. de la librería 0691102880

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Harald Niederreiter, Chaoping Xing
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Descripción Princeton University Press, 2009. Hardcover. Estado de conservación: New. Nº de ref. de la librería DADAX0691102880

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Harald Niederreiter
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Descripción Princeton University Press, 2009. HRD. Estado de conservación: New. New Book. Shipped from UK in 4 to 14 days. Established seller since 2000. Nº de ref. de la librería WP-9780691102887

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Harald Niederreiter, Chaoping Xing
Editorial: Princeton University Press, United States (2009)
ISBN 10: 0691102880 ISBN 13: 9780691102887
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Descripción Princeton University Press, United States, 2009. Hardback. Estado de conservación: New. 234 x 160 mm. Language: English . Brand New Book. 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. Nº de ref. de la librería AAH9780691102887

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Harald Niederreiter, Chaoping Xing
Editorial: Princeton University Press, United States (2009)
ISBN 10: 0691102880 ISBN 13: 9780691102887
Nuevos Tapa dura Cantidad: 1
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Descripción Princeton University Press, United States, 2009. Hardback. Estado de conservación: New. 234 x 160 mm. Language: English . Brand New Book. 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. Nº de ref. de la librería AAH9780691102887

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Harald Niederreiter
Editorial: Princeton University Press 2009-09-21 (2009)
ISBN 10: 0691102880 ISBN 13: 9780691102887
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Descripción Princeton University Press 2009-09-21, 2009. Hardcover. Estado de conservación: New. 0691102880. Nº de ref. de la librería 532495

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Harald Niederreiter, Chaoping Xing
Editorial: Princeton University Press, United States (2009)
ISBN 10: 0691102880 ISBN 13: 9780691102887
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Descripción Princeton University Press, United States, 2009. Hardback. Estado de conservación: New. 234 x 160 mm. Language: English . This book usually ship within 10-15 business days and we will endeavor to dispatch orders quicker than this where possible. Brand New Book. 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. Nº de ref. de la librería BTE9780691102887

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NIEDERREITER
ISBN 10: 0691102880 ISBN 13: 9780691102887
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Descripción 2009. Hardback. Estado de conservación: NEW. 9780691102887 This listing is a new book, a title currently in-print which we order directly and immediately from the publisher. Nº de ref. de la librería HTANDREE01303957

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