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
General
| Imprint: |
Princeton University Press
|
| Country of origin: |
United States |
| Release date: |
October 2009 |
| First published: |
2009 |
| Authors: |
Harald Niederreiter
• Chaoping Xing
|
| Dimensions: |
235 x 152 x 24mm (L x W x T) |
| Format: |
Hardcover
|
| Pages: |
272 |
| ISBN-13: |
978-0-691-10288-7 |
| Categories: |
Books
|
| LSN: |
0-691-10288-0 |
| Barcode: |
9780691102887 |
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