Niederreiter / Ostafe / Panario Algebraic Curves and Finite Fields

Cryptography and Other Applications
1. Auflage 2014
ISBN: 978-3-11-037955-6
Verlag: De Gruyter
Format: EPUB
Kopierschutz: Adobe DRM (»Systemvoraussetzungen)

E-Book, Englisch, 251 Seiten

Reihe: ISSN

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.

Zielgruppe

Researchers in Mathematics and Computer Science; Academic libraries

Autoren/Hrsg.

Niederreiter, Harald

Ostafe, Alina

Panario, Daniel

Winterhof, Arne

Weitere Mitwirkende

Achter, Jeffrey D.

Bassa, Alp

Beelen, Peter

Cheon, Jung Hee

Claude, Carlet

Giulietti, Massimo

Guilley, Sylvain

Helleseth, Tor

Kim, Taechan

Korchmaros, Gabor

Nguyen, Nhut

Pausinger, Florian

Pott, Alexander

Pries, Rachel

Schmidt, Kai-Uwe

Song, Yongsoo

Steinfeld, Ron

Topuzoglu, Alev

Villa-Salvador, Gabriel D.

Zhou, Yue

Fachgebiete

• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle
• Mathematik | Informatik EDV | Informatik Informatik Mathematik für Informatiker
• Mathematik | Informatik Mathematik Algebra

Über Autor(innen)

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