Many Rational Points: Coding Theory and Algebraic Geometry (Mathematics and Its Applications, 564, Band 564) - Hardcover

Hurt, N.E.

 
9781402017667: Many Rational Points: Coding Theory and Algebraic Geometry (Mathematics and Its Applications, 564, Band 564)
Hardcover
ISBN 10: 1402017669 ISBN 13: 9781402017667
Verlag: Springer, 2003

Inhaltsangabe

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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Verlag
Springer
Erscheinungsdatum
2003
Sprache
Englisch
ISBN 10 
1402017669
ISBN 13 
9781402017667
Einband
Gebundene Ausgabe
Anzahl der Seiten
367
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9789048164967: Many Rational Points: Coding Theory and Algebraic Geometry (Mathematics and Its Applications, Band 564)

Vorgestellte Ausgabe

ISBN 10:  9048164966 ISBN 13:  9789048164967
Verlag: Springer, 2010
Softcover