EAN: 9783110317886

ALGEBRAIC CURVES AND FINITE FIELD GEBUNDEN

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 aroundthe 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.

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