Many Rational Points

Name: Many Rational Points
Brand: Springer Netherlands
SKU: 9781402017667
Price: 582.46 RON
Availability: InStock

Coding Theory and Algebraic Geometry

Autor: N. E Hurt

Limbă:

Legare: Copertă tare

Editura: Springer Netherlands

Disponibilitate: În depozitul extern în cantități mici

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582.46 lei

This monograph presents a comprehensive treatment of recent results on algebraic geometry as they ap...

Informații despre carte

Autor

N. E Hurt

Limbă

engleză

Legare

Carte - Copertă tare

Publicat

2005

Pagini

346

EAN

9781402017667

ISBN

1402017669

Enbook ID

02106615

Editura

Springer Netherlands

Greutate

799

Dimensiuni

155 x 235 x 22

Descriere completă

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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Many Rational Points

Coding Theory and Algebraic Geometry

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