By Harald Niederreiter,Alina Ostafe,Daniel Panario,Arne Winterhof,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,
Algebra and quantity concept have continually been counted one of the most lovely and basic mathematical parts with deep proofs and chic effects. in spite of the fact that, for a very long time they weren't thought of of any mammoth significance for real-life purposes. This has dramatically replaced with the looks of latest issues reminiscent of sleek cryptography, coding thought, and instant communique. these days we discover functions of algebra and quantity concept usually in our way of life. We point out protection and mistake detection for web banking, cost digit structures and the bar code, GPS and radar platforms, pricing techniques at a inventory industry, and noise suppression on cellphones as most typical examples.
This publication collects the result of the workshops "Applications of algebraic curves" and "Applications of finite fields" of the RICAM detailed Semester 2013. those workshops introduced jointly the main trendy researchers within the region of finite fields and their functions around the globe. They deal with outdated and new difficulties on curves and different elements of finite fields, with emphasis on their various purposes to many components of natural and utilized arithmetic.