Mendeley出力
＜図書＞
Algebraic geometry in coding theory and cryptography
| 責任表示 | Harald Niederreiter and Chaoping Xing |
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| データ種別 | 図書 |
| 出版情報 | Princeton : Princeton University Press , c2009 |
| 本文言語 | 英語 |
| 大きさ | viii, 260 p. ; 24 cm |
| 概要 | Writing for advanced undergraduates and first-year graduate students with a good background in algebra, Niederreiter (mathematics and computer science, National U. of Singapore) and Xing (mathematics,...Nanyang Technological U., Singapore) provide an introduction to the theory of algebraic geometry and its applications to the fields of coding theory and cryptography. As it is important to the applications, they emphasize the interplay between nonsingular projective curves over finite fields and global function fields, providing complete proofs of related results, which are not typically found in the expository literature. In terms of applications to coding theory, they cover algebraic-geometry codes, asymptotic results, NXL and XNL codes, function-field codes, applications of character sums, and digital nets. In terms of applications to cryptography, they cover elliptic-curve cryptosystems, hyperelliptic-curve cryptography, code-based public-key cryptosystems, frameproof codes, and fast arithmetic in finite fields. These subjects include standard topics and some material that can't be found elsewhere, partly because of recent origin. Annotation ©2009 Book News, Inc., Portland, OR (booknews.com) 続きを見る |
| 目次 | 1. Finite fields and function fields 2. Algebraic varieties 3. Algebraic curves 4. Rational places 5. Applications to coding theory 6. Applications to cryptography. |
所蔵情報
| 状態 | 巻次 | 所蔵場所 | 請求記号 | 刷年 | 文庫名称 | 資料番号 | コメント | 予約・取寄 | 複写申込 | 自動書庫 |
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: hardcover | 理系図3F 数理独自 | NIED/10/3 | 2009 |
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023212009005377 |
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: hardcover | 理系図3F 数理独自 | NIED/10/3A | 2009 |
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130012018001565 |
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書誌詳細
| 一般注記 | Includes bibliographical references and index |
|---|---|
| 著者標目 | *Niederreiter, Harald, 1944- Xing, Chaoping, 1963- |
| 件 名 | LCSH:Coding theory LCSH:Cryptography LCSH:Geometry, Algebraic |
| 分 類 | LCC:QA268 DC22:003/.54 |
| 書誌ID | 1001406373 |
| ISBN | 9780691102887 |
| NCID | BA91773115 |
| 巻冊次 | : hardcover ; ISBN:9780691102887 |
| 登録日 | 2009.11.24 |
| 更新日 | 2009.11.24 |