| Algebraic Geometry in Coding Theory and Cryptography Contributor(s): Niederreiter, Harald (Author), Xing, Chaoping (Author) |
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ISBN: 0691102880 ISBN-13: 9780691102887 Publisher: Princeton University Press OUR PRICE: $70.30 Product Type: Hardcover - Other Formats Published: October 2009 Annotation: "This is a beautifully written volume that gives the necessary background to read the research literature on coding and cryptography based on concepts from curves in algebraic geometries. Both of the authors are outstanding researchers, well known for the clarity and depth of their contributions. This work is a valuable and welcome addition to the literature on coding and cryptography."--Ian F. Blake, University of British Columbia |
| Additional Information |
| BISAC Categories: - Computers | Information Theory - Mathematics | Geometry - Algebraic - Computers | Security - Cryptography |
| Dewey: 003.54 |
| LCCN: 2008056156 |
| Physical Information: 1" H x 6.82" W x 9.46" (1.19 lbs) 272 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: 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.
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