Algebraic Geometry in Coding Theory and Cryptography - Couverture rigide

Niederreiter, Harald; Xing, Chaoping

 
9780691102887: Algebraic Geometry in Coding Theory and Cryptography
Couverture rigide
ISBN 10 : 0691102880 ISBN 13 : 9780691102887
Editeur : Princeton University Press, 2009

Synopsis

This textbook equips graduate students and advanced undergraduates with the necessary theoretical tools for applying algebraic geometry to information theory, and it covers primary applications in coding theory and cryptography. Harald Niederreiter and Chaoping Xing provide the first detailed discussion of the interplay between nonsingular projective curves and algebraic function fields over finite fields. This interplay is fundamental to research in the field today, yet until now no other textbook has featured complete proofs of it. Niederreiter and Xing cover classical applications like algebraic-geometry codes and elliptic-curve cryptosystems as well as material not treated by other books, including function-field codes, digital nets, code-based public-key cryptosystems, and frameproof codes. Combining a systematic development of theory with a broad selection of real-world applications, this is the most comprehensive yet accessible introduction to the field available.


  • Introduces graduate students and advanced undergraduates to the foundations of algebraic geometry for applications to information theory

  • Provides the first detailed discussion of the interplay between projective curves and algebraic function fields over finite fields

  • Includes applications to coding theory and cryptography

  • Covers the latest advances in algebraic-geometry codes

  • Features applications to cryptography not treated in other books

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

À propos de l?auteur

Harald Niederreiter is professor of mathematics and computer science at the National University of Singapore. Chaoping Xing is professor of mathematics at the Nanyang Technological University in Singapore. They are the authors of Rational Points on Curves over Finite Fields: Theory and Applications.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
Princeton University Press
Date d'édition
2009
Langue
anglais
ISBN 10 
0691102880
ISBN 13 
9780691102887
Reliure
Relié
Nombre de pages
272
Coordonnées du fabricant
non disponible
Personne responsable
non disponible

Autres éditions populaires du même titre

9780691102894: Algebraic Geometry in Coding Theory

Edition présentée

ISBN 10 :  0691102899 ISBN 13 :  9780691102894
Editeur : Princeton University Press, 2018
Couverture souple