Many rational points : coding theory and algebraic geometry

＜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
出版情報	Dordrecht : Kluwer Academic , 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
電子版へのリンク	https://hdl.handle.net/2324/6916368

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