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Topics in Geometry, Coding Theory and Cryptography. 2007 ed..
・ISBN 978-1-4020-5333-7 hard EUR 49.99
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| 著者・編者 | Garcia, Arnaldo / Stichtenoth, Henning (eds.), |
|---|---|
| シリーズ | Algebra and Applications |
| 出版社 | (Springer-Verlag New York Inc., US) |
| 出版年月 | 2006 |
| ページ数 | 201 pp. |
| 言語 | ENG |
| ニュース番号 | ＜M25-20453＞ |
解説
The theory of algebraic function fields over finite fields has its origins in number theory. However, after Goppa`s discovery of algebraic geometry codes around 1980, many applications of function fields were found in different areas of mathematics and information theory, such as coding theory, sphere packings and lattices, sequence design, and cryptography. The use of function fields often led to better results than those of classical approaches.
This book presents survey articles on some of these new developments. Most of the material is directly related to the interaction between function fields and their various applications; in particular the structure and the number of rational places of function fields are of great significance. The topics focus on material which has not yet been presented in other books or survey articles. Wherever applications are pointed out, a special effort has been made to present some background concerning their use.