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Item Details
| Title:
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RATIONAL POINTS ON CURVES OVER FINITE FIELDS
THEORY AND APPLICATIONS |
| By: |
Harald Niederreiter, Chaoping Xing |
| Format: |
Electronic book text |
| List price:
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£102.00 |
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We currently do not stock this item, please contact the publisher directly for
further information.
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| ISBN 10: |
1107325951 |
| ISBN 13: |
9781107325951 |
| Publisher: |
CAMBRIDGE UNIVERSITY PRESS |
| Pub. date: |
5 April, 2013 |
| Series: |
London Mathematical Society Lecture Note Series 285 |
| Description: |
Discussion of theory and applications of algebraic curves over finite fields with many rational points. |
| Synopsis: |
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. |
| Illustrations: |
22 tables |
| Publication: |
UK |
| Imprint: |
Cambridge University Press |
| Returns: |
Non-returnable |
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