Kniha Many Rational Points N. E Hurt

Many Rational Points

Coding Theory and Algebraic Geometry

Autor: N. E Hurt
Jazyk: Angličtina
Vazba: Pevná
Dostupnost: Skladem u dodavatele v malém množství
Odesíláme za 13-18 dnů
2 567
This monograph presents a comprehensive treatment of recent results on algebraic geometry as they ap...

Informace o knize

Autor
Jazyk
Angličtina
Vazba
Kniha - Pevná
Vydáno
2005
Stránek
346
EAN
9781402017667
ISBN
1402017669
Enbook ID
02106615
Hmotnost
799
Rozměry
155 x 235 x 22

Kompletní popis

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 with 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.

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