Algebraic Curves and Finite Fields

Cryptography and Other Applications

Harald Niederreiter, Alina Ostafe, Daniel Panario, Arne Winterhof (Herausgeber)

Media-Kombination

XI, 240 Seiten | Ausstattung: eBook & Hardcover

2014
De Gruyter
9783110317923 (ISBN)

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Algebra and number theory have always been counted among the most beautiful and fundamental mathematical areas with deep proofs and elegant results. However, for a long time they were not considered of any substantial importance for real-life applications. This has dramatically changed with the appearance of new topics such as modern cryptography, coding theory, and wireless communication. Nowadays we find applications of algebra and number theory frequently in our daily life. We mention security and error detection for internet banking, check digit systems and the bar code, GPS and radar systems, pricing options at a stock market, and noise suppression on mobile phones as most common examples. This book collects the results of the workshops "Applications of algebraic curves" and "Applications of finite fields" of the RICAM Special Semester 2013. These workshops brought together the most prominent researchers in the area of finite fields and their applications around the world. They address old and new problems on curves and other aspects of finite fields, with emphasis on their diverse applications to many areas of pure and applied mathematics.

Harald Niederreiter, JKU Linz, Austria;Alina Ostafe, Macquarie University, NSW, Australia; Daniel Panario, Carleton University, Ottawa, Ontario, Canada; Arne Winterhof, JKU Linz, Austria.

Reihe/Serie	Radon Series on Computational and Applied Mathematics ; 16
Co-Autor	Jeffrey D. Achter, Alp Bassa, Peter Beelen, Jung Hee Cheon, Carlet Claude, Massimo Giulietti, Sylvain Guilley, Tor Helleseth, Taechan Kim, Gabor Korchmaros, Nhut Nguyen, Florian Pausinger, Alexander Pott, Rachel Pries, Kai-Uwe Schmidt, Yongsoo Song, Ron Steinfeld, Alev Topuzoglu, Gabriel D. Villa-Salvador, Yue Zhou
Zusatzinfo	Includes a print version and an ebook
Verlagsort	Berlin/Boston
Sprache	englisch
Maße	170 x 240 mm
Themenwelt	Mathematik / Informatik ► Mathematik
Schlagworte	Algebra and Number Theory • Algebraische Kurve • algebraische Kurven • Curves, Algebraic • Endliche Felder • Galois-Feld • Kongress • Kryptologie • Linz <2013> • Mathematics
ISBN-13	9783110317923 / 9783110317923
Zustand	Neuware