Algebraic Geometry in Coding Theory and Cryptography

Algebraic Geometry in Coding Theory and Cryptography
Author :
Publisher : Princeton University Press
Total Pages : 272
Release :
ISBN-10 : 9781400831302
ISBN-13 : 140083130X
Rating : 4/5 (30X Downloads)

Book Synopsis Algebraic Geometry in Coding Theory and Cryptography by : Harald Niederreiter

Download or read book Algebraic Geometry in Coding Theory and Cryptography written by Harald Niederreiter and published by Princeton University Press. This book was released on 2009-09-21 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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


Algebraic Geometry in Coding Theory and Cryptography Related Books

Algebraic Geometry in Coding Theory and Cryptography
Language: en
Pages: 272
Authors: Harald Niederreiter
Categories: Mathematics
Type: BOOK - Published: 2009-09-21 - Publisher: Princeton University Press

DOWNLOAD EBOOK

This textbook equips graduate students and advanced undergraduates with the necessary theoretical tools for applying algebraic geometry to information theory, a
Algebraic Geometry for Coding Theory and Cryptography
Language: en
Pages: 150
Authors: Everett W. Howe
Categories: Mathematics
Type: BOOK - Published: 2017-11-15 - Publisher: Springer

DOWNLOAD EBOOK

Covering topics in algebraic geometry, coding theory, and cryptography, this volume presents interdisciplinary group research completed for the February 2016 co
Topics in Geometry, Coding Theory and Cryptography
Language: en
Pages: 212
Authors: Arnaldo Garcia
Categories: Mathematics
Type: BOOK - Published: 2006-11-15 - Publisher: Springer Science & Business Media

DOWNLOAD EBOOK

The theory of algebraic function fields over finite fields has its origins in number theory. However, after Goppa`s discovery of algebraic geometry codes around
Arithmetic, Geometry, Cryptography and Coding Theory
Language: en
Pages: 303
Authors: Stéphane Ballet
Categories: Education
Type: BOOK - Published: 2021-07-01 - Publisher: American Mathematical Soc.

DOWNLOAD EBOOK

This volume contains the proceedings of the 17th International Conference on Arithmetic, Geometry, Cryptography and Coding Theory (AGC2T-17), held from June 10�
Codes, Cryptology and Curves with Computer Algebra
Language: en
Pages: 611
Authors: Ruud Pellikaan
Categories: Language Arts & Disciplines
Type: BOOK - Published: 2017-11-02 - Publisher: Cambridge University Press

DOWNLOAD EBOOK

Graduate-level introduction to error-correcting codes, which are used to protect digital data and applied in public key cryptosystems.