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<図書>
Many rational points : coding theory and algebraic geometry

責任表示 by Norman E. Hurt
シリーズ Mathematics and its applications ; v. 564
データ種別 図書
出版者 Dordrecht : Kluwer Academic
出版年 c2003
本文言語 英語
大きさ xxi, 346 p. ; 25 cm
概要 This monograph presents a comprehensive treatment of recent results on algebraic geometry as they apply to coding theory and cryptography, with the goal the study of algebraic curves and varieties wi...h many rational points. They book surveys recent developments on abelian varieties, in particular the classification of abelian surfaces, hyperelliptic curves, modular towers, Kloosterman curves and codes, Shimura curves and modular jacobian surfaces. Applications of abelian varieties to cryptography are presented including a discussion of hyperelliptic curve cryptosystems. The inter-relationship of codes and curves is developed building on Goppa's results on algebraic-geometry cods. The volume provides a source book of examples with relationships to advanced topics regarding Sato-Tate conjectures, Eichler-Selberg trace formula, Katz-Sarnak conjectures and Hecke operators. 続きを見る

所蔵情報


理系図1F 開架 025212004003685 411.8/H 98 2003

理系図3F 数理独自 023212004001070 HURT/10/5 2003

理系図 自動書庫 026212005000211 411.8/H 98 2003

書誌詳細

一般注記 Includes bibliographical references (p. [317]-344) and index
著者標目 *Hurt, Norman, 1943-
件 名 LCSH:Curves, Algebraic
LCSH:Finite fields (Algebra)
LCSH:Rational points (Geometry)
LCSH:Coding theory
分 類 LCC:QA565
DC22:516.3/5
書誌ID 1001265501
ISBN 1402017669
NCID BA64936239
巻冊次 ISBN:1402017669
登録日 2009.09.18
更新日 2009.09.18

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