Rational Points on Curves over Finite Fields: Theory and Applications

Rational Points on Curves over Finite Fields: Theory and Applications

by Harald Niederreiter, Chaoping Xing
     
 

ISBN-10: 0521665434

ISBN-13: 9780521665438

Pub. Date: 06/28/2001

Publisher: Cambridge University Press

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

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Overview

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.

Product Details

ISBN-13:
9780521665438
Publisher:
Cambridge University Press
Publication date:
06/28/2001
Series:
London Mathematical Society Lecture Note Series, #285
Pages:
256
Product dimensions:
5.98(w) x 8.98(h) x 0.59(d)

Table of Contents

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.

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