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Carte Many Rational Points N. E. Hurt

Many Rational Points

Coding Theory and Algebraic Geometry

Autor: N. E. Hurt
Limbă: engleză
Legare: Carte broșată
Editura: Springer Netherlands
Disponibilitate: În depozitul extern
Expediem în 5-8 zile
553.26 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 - Carte broșată
Publicat
2010
Pagini
346
EAN
9789048164967
ISBN
9048164966
Enbook ID
02109896
Editura
Springer Netherlands
Greutate
519
Dimensiuni
160 x 240 x 19

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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