Skip to content
Register Sign in Wishlist
Rational Points on Curves over Finite Fields

Rational Points on Curves over Finite Fields
Theory and Applications

$97.99 (C)

Part of London Mathematical Society Lecture Note Series

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

$ 97.99 (C)

Add to cart Add to wishlist

Other available formats:

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 providing details of the course you are teaching.

Product filter button
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

    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?


    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.

  • Authors

    Harald Niederreiter, National University of Singapore

    Chaoping Xing, National University of Singapore

Sorry, this resource is locked

Please register or sign in to request access. If you are having problems accessing these resources please email

Register Sign in
Please note that this file is password protected. You will be asked to input your password on the next screen.

» Proceed

You are now leaving the Cambridge University Press website. Your eBook purchase and download will be completed by our partner Please see the permission section of the catalogue page for details of the print & copy limits on our eBooks.

Continue ×

Continue ×

Continue ×
warning icon

Turn stock notifications on?

You must be signed in to your Cambridge account to turn product stock notifications on or off.

Sign in Create a Cambridge account arrow icon

Find content that relates to you

Join us online

This site uses cookies to improve your experience. Read more Close

Are you sure you want to delete your account?

This cannot be undone.


Thank you for your feedback which will help us improve our service.

If you requested a response, we will make sure to get back to you shortly.

Please fill in the required fields in your feedback submission.