Algebraic Geometry in Coding Theory and Cryptography
Sep 2009 · Princeton University Press
Ebook
272
Pages
family_home
Eligible
info
reportRatings and reviews aren’t verified Learn More
About this ebook
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
About the author
Harald Niederreiter is professor of mathematics and computer science at the National University of Singapore. Chaoping Xing is professor of mathematics at the Nanyang Technological University in Singapore. They are the authors of Rational Points on Curves over Finite Fields: Theory and Applications.
Rate this ebook
Tell us what you think.
Reading information
Smartphones and tablets
Install the Google Play Books app for Android and iPad/iPhone. It syncs automatically with your account and allows you to read online or offline wherever you are.
Laptops and computers
You can listen to audiobooks purchased on Google Play using your computer's web browser.
eReaders and other devices
To read on e-ink devices like Kobo eReaders, you'll need to download a file and transfer it to your device. Follow the detailed Help Center instructions to transfer the files to supported eReaders.
