株式会社極東書店トップ ＞ 商品一覧 ＞ Rational Points on Curves over Finite Fields : Theory and Applications.
商品詳細
Rational Points on Curves over Finite Fields : Theory and Applications.
・ISBN 978-0-521-66543-8 paper GB£ 92.00
￥29,145.- (税込) ※（※）価格はご注文時の参考価格となります。
納品価格につきましては書籍の入荷時点で確定となります。
版元の原価改定、外国為替の変動等により異なる場合がございますので、予めご了承下さい。
お気に入り
★★★
電子版あり 大学・学術機関向け電子ブック（eBook）ISBN 978-1-107-32595-1
| 著者・編者 | Niederreiter, Harald / Xing, Chaoping, |
|---|---|
| シリーズ | London Mathematical Society Lecture Note Series |
| 出版社 | (Cambridge University Press, UK) |
| 出版年月 | 2001 |
| ページ数 | 256 pp. |
| 言語 | ENG |
| ニュース番号 | ＜M25-2036＞ |
解説
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.