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Many Rational Points

Name: Many Rational Points
Brand: Springer Netherlands
SKU: 02106615
Price: 118.29 EUR
Availability: InStock
Author: N. E Hurt
ISBN: 9781402017667

Coding Theory and Algebraic Geometry

N. E Hurt

Language

English

Book Hardback

Libristo code: 02106615

Publishers Springer Netherlands, May 2005

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

Libristo code: 02106615

290 b

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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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About the book

Full name Many Rational Points

Author N. E Hurt

Language

English

Binding Book - Hardback

Date of issue 2005

Number of pages 346

EAN 9781402017667

ISBN 1402017669

Libristo code 02106615

Publishers Springer Netherlands

Weight 799

Dimensions 155 x 235 x 22

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