Rational Points on Curves Over Finite Fields - Theory and Applications

Klappentext Rational points on algebraic curves over finite fields is a key topic for algebraic geometers and coding theorists. Here! the authors relate an important application of such curves! namely! to the construction of low-discrepancy sequences! needed for numerical methods in diverse areas. They sum up the theoretical work on algebraic curves over finite fields with many rational points and discuss the applications of such curves to algebraic coding theory and the construction of low-discrepancy sequences. Zusammenfassung This book gives a summary of the theory and discusses the applications of algebraic curves over finite fields with many rational points. The bulk of the material in this book is of very recent origin and has not been systematically treated in any other works. Inhaltsverzeichnis 1. Background on function fields; 2. Class field theory; 3. Explicit function fields; 4. Function fields with many rational places; 5. Asymptotic results; 6. Applications to algebraic coding theory; 7. Applications to cryptography; 8. Applications to low-discrepancy sequences.

Product details

• Authors: Harald Niederreiter, Harald (National University of Singa Niederreiter, Harald Xing Niederreiter, Chaoping Xing
• Assisted by: J. W. S. Cassels (Editor)
• Publisher: Cambridge University Press ELT
• Languages: English
• Product format: Paperback / Softback
• Released: 14.06.2001
• EAN: 9780521665438
• ISBN: 978-0-521-66543-8
• No. of pages: 256
• Series: London Mathematical Society Le
• Subject: Natural sciences, medicine, IT, technology > Mathematics > Geometry