Algebraic Curves and Finite Fields
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Edited by:
Harald Niederreiter
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With contributions by:
Jeffrey D. Achter
About this book
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.
Author / Editor information
Harald Niederreiter, JKU Linz, Austria; Alina Ostafe, Macquarie University, NSW, Australia; Daniel Panario, Carleton University, Ottawa, Ontario, Canada; Arne Winterhof, JKU Linz, Austria.
Topics
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Jeffrey D. Achter and Rachel Pries Requires Authentication Unlicensed Licensed |
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Alp Bassa, Peter Beelen and Nhut Nguyen Requires Authentication Unlicensed Licensed |
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Claude Carlet and Sylvain Guilley Requires Authentication Unlicensed Licensed |
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Jung Hee Cheon, Taechan Kim and Yongsoo Song Requires Authentication Unlicensed Licensed |
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Massimo Giulietti and Gábor Korchmáros Requires Authentication Unlicensed Licensed |
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Tor Helleseth Requires Authentication Unlicensed Licensed |
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Florian Pausinger and Alev Topuzoğlu Requires Authentication Unlicensed Licensed |
145 |
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Alexander Pott, Kai-Uwe Schmidt and Yue Zhou Requires Authentication Unlicensed Licensed |
161 |
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NTRU cryptosystem: Recent developments and emerging mathematical problems in finite polynomial rings
Ron Steinfeld Requires Authentication Unlicensed Licensed |
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Gabriel D. Villa-Salvador Requires Authentication Unlicensed Licensed |
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