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Algebraic Geometry in Coding Theory and Cryptography

Af: Chaoping Xing, Harald Niederreiter Engelsk Hardback

Algebraic Geometry in Coding Theory and Cryptography

Af: Chaoping Xing, Harald Niederreiter Engelsk Hardback
Tjek vores konkurrenters priser

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

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Tjek vores konkurrenters priser
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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

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Se mere i:
Produktdetaljer
Sprog: Engelsk
Sider: 272
ISBN-13: 9780691102887
Indbinding: Hardback
Udgave:
ISBN-10: 0691102880
Kategori: Geografi
Udg. Dato: 11 okt 2009
Længde: 24mm
Bredde: 165mm
Højde: 243mm
Forlag: Princeton University Press
Oplagsdato: 11 okt 2009
Forfatter(e): Chaoping Xing, Harald Niederreiter
Forfatter(e) Chaoping Xing, Harald Niederreiter

Kategori Geografi

ISBN-13 9780691102887

Sprog Engelsk

Indbinding Hardback

Sider 272

Udgave

Længde 24mm

Bredde 165mm

Højde 243mm

Udg. Dato 11 okt 2009

Oplagsdato 11 okt 2009

Forlag Princeton University Press