Many Rational Points

Name: Many Rational Points
Brand: Springer Netherlands
SKU: 9789048164967
Price: 100.0 EUR
Availability: InStock

Coding Theory and Algebraic Geometry

Autor: N. E. Hurt

Jazyk:

Väzba: Brožovaná

Vydavateľ: Springer Netherlands

Dostupnosť: Skladom u dodávateľa

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

Informácie o knihe

Autor

N. E. Hurt

Jazyk

Angličtina

Väzba

Kniha - Brožovaná

Vydalo

2010

Stránok

346

EAN

9789048164967

ISBN

9048164966

Enbook ID

02109896

Vydavateľ

Springer Netherlands

Hmotnosť

519

Rozmery

160 x 240 x 19

Kompletný 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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Many Rational Points

Coding Theory and Algebraic Geometry

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