Algebraic Curves in Cryptography

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San Ling (Nanyang Technological University, Singapore, Singapore Nanyang Technological University, Singapore) Huaxiong Wang (Nanyang Technological University, Singapore)

Algebraic Curves in Cryptography

San Ling (Nanyang Technological University, Singapore, Singapore Nanyang Technological University, Singapore), Huaxiong Wang (Nanyang Technological University, Singapore), Chaoping Xing

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English

Chapman & Hall/CRC
13 June 2013

Information theory; Algebraic geometry

Series: Discrete Mathematics and Its Applications

Systematically addressing the many applications of algebraic geometry to cryptography and coding theory, this book provides an introduction to important concepts and demonstrates how to facilitate the new and fruitful connections between the two exciting areas of algebraic geometry and cryptography. It expound on a wide range of applications such as secret sharing, authentication codes, key distributions, frameproof codes, signatures, and broadcast encryption. Each chapter contains a section to show the connections between algebraic geometry and the specified cryptographic topic and to demonstrate how algebraic geometry is used.

By: San Ling (Nanyang Technological University Singapore Singapore Nanyang Technological University Singapore), Huaxiong Wang (Nanyang Technological University, Singapore), Chaoping Xing
Imprint: Chapman & Hall/CRC
Country of Publication: United Kingdom
Volume: 79
Dimensions: Height: 234mm, Width: 156mm, Spine: 22mm
Weight: 612g
ISBN: 9781420079463
ISBN 10: 1420079468
Series: Discrete Mathematics and Its Applications
Pages: 340
Publication Date: 13 June 2013
Audience: Professional and scholarly , Undergraduate
Format: Hardback
Publisher's Status: Active

Introduction to Algebraic Curves. Introduction to Error-Correcting Codes. Elliptic Curves and Their Applications to Cryptography. Secret Sharing Schemes. Authentication Codes. Frameproof Codes. Key Distribution Schemes. Broadcast Encryption and Multicast Security. Sequences. Bibliography. Index.

Nanyang Technological University, Singapore, Singapore Nanyang Technical University, Singapore, SINGAPORE

Reviews for Algebraic Curves in Cryptography

This is a self-contained book intended for researchers and graduate students in mathematics and computer science interested in different topics in cryptography involving algebraic curves ... The authors of this book make an exhaustive review on some other topics where algebraic curves, mainly in higher genus, are important as well. -Zentralblatt MATH 1282 The book is written in a user-friendly style, with good coverage of the background, many examples, and a detailed bibliography of over 180 items. It is mainly directed towards graduate students and researchers, but some parts of the book are even accessible for advanced undergraduate students. The book is highly recommended for readers interested in the manifold applications of algebraic curves over finite fields. -Harald Niederreiter, Mathematical Reviews, March 2014 The book is filled with examples to illustrate the various constructions and, assuming a basic knowledge of combinatorics and algebraic geometry, it is almost self-contained. -Felipe Zaldivar, MAA Reviews, September 2013