Detalls del llibre
Ever since the seminal work of Goppa on algebraic-geometry codes, rational points on algebraic curves over finite fields have been an important research topic for algebraic geometers and coding theorists. The focus in this application of algebraic geometry to coding theory is on algebraic curves over finite fields with many rational points (relative to the genus). Recently, the authors discovered another important application of such curves, namely to the construction of low-discrepancy sequences. These sequences are needed for numerical methods in areas as diverse as computational physics and mathematical finance. This has given additional impetus to the theory of, and the search for, algebraic curves over finite fields with many rational points. This book aims to sum up the theoretical work on algebraic curves over finite fields with many rational points and to discuss the applications of such curves to algebraic coding theory and the construction of low-discrepancy sequences.
Llegir més - Autors Harald (National University Of Singapore) Niederreiter, Chaoping (National University Of Singapore) Xing
- ISBN13 9780521665438
- ISBN10 0521665434
- Pàgines 245
- Any Edició 2001
- Fecha de publicación 14/06/2001
- Idioma Alemany, Francès



