Rational Points on Curves over Finite Fields: Theory and Applications (London Mathematical Society Lecture Note Series, Series Number 285)

Niederreiter, Harald

ISBN 10: 0521665434 / ISBN 13: 9780521665438

Published by Cambridge University Press, 2001

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Bibliographic Details

• Title: Rational Points on Curves over Finite Fields: Theory and Applications (London Mathematical Society Lecture Note Series, Series Number 285)
• Publisher: Cambridge University Press
• Publication Date: 2001
• Language: English
• ISBN 10: 0521665434
• ISBN 13: 9780521665438
• Binding: Soft cover
• Condition: New

About this title

Synopsis

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.

Book Description

This book has two main aims. Firstly, to give a summary of the theoretical work in algebraic curves over finite fields with many rational points. Secondly to discuss the applications of this theory to areas such as information theory (algebraic coding theory) and computational mathematics (construction of low-discrepancy sequences). The bulk of the material in this book is of very recent origin. The authors have given the first systematic treatment of this material in this book.