Unlocking potential with the best learning and research solutions

Rational Points on Curves over Finite Fields
Theory and Applications

Part of London Mathematical Society Lecture Note Series

Authors:
Harald Niederreiter, National University of Singapore
Chaoping Xing, National University of Singapore

Date Published: June 2001
availability: Available
format: Paperback
isbn: 9780521665438

Rate & review

Paperback

Add to wishlist

Other available formats:
eBook

Looking for an examination copy?

This title is not currently available for examination. However, if you are interested in the title for your course we can consider offering an examination copy. To register your interest please contact collegesales@cambridge.org providing details of the course you are teaching.

Description

Contents

Resources

Courses

About the Authors

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.
- Was the first systematic treatment
- Contains important applications to information theory and computational mathematics
Read more
Reviews & endorsements
'… the book under review develops many techniques that are not covered in the existing texts. I highly recommend it.' Steven D. Galbraith, Royal Holloway, University of London
'Because of the carefully selected contents and lucid style, the book can be warmly recommended to mathematicians interested in the above-mentioned topics or in algebraic curves over finite fields with many rational points.' EMS
'The book is very clearly written. It is warmly recommended to anyone who is interested in nice mathematical theories and/or in the recent applications.' Acta. Sci. Math.
See more reviews
Customer reviews

Not yet reviewed
Be the first to review

Log in to review

Review was not posted due to profanity
×

, create a review

(If you're not , sign out)

Please enter the right captcha value

Please enter a star rating.

Your review must be a minimum of 12 words.

How do you rate this item?

Reviews must contain at least 12 words about the product.

×

Product details
- Date Published: June 2001
- format: Paperback
- isbn: 9780521665438
- length: 256 pages
- dimensions: 228 x 154 x 16 mm
- weight: 0.368kg
- contains: 22 tables
- availability: Available
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.
Look Inside
Authors
Harald Niederreiter, National University of Singapore
Chaoping Xing, National University of Singapore