Algebraic Geometry in Coding Theory and Cryptography

Autor: Harald Niederreiter, Chaoping Xing

Jazyk:

Vazba: Pevná

Vydavatel: Princeton University Press

Dostupnost: Skladem u dodavatele

Odesíláme za 9-15 dnů

2 009 Kč

This textbook equips graduate students and advanced undergraduates with the necessary theoretical to...

Informace o knize

Autor

Harald Niederreiter, Chaoping Xing

Jazyk

Angličtina

Vazba

Kniha - Pevná

Vydáno

2009

Stránek

272

EAN

9780691102887

ISBN

0691102880

Enbook ID

04640628

Vydavatel

Princeton University Press

Hmotnost

548

Rozměry

165 x 243 x 24

Kompletní popis

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. It introduces graduate students and advanced undergraduates to the foundations of algebraic geometry for applications to information theory. It provides the first detailed discussion of the interplay between projective curves and algebraic function fields over finite fields. It includes applications to coding theory and cryptography. It covers the latest advances in algebraic-geometry codes. It features applications to cryptography not treated in other books.

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Algebraic Geometry in Coding Theory and Cryptography

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