Algebraic curves in cryptography
Author(s)
Bibliographic Information
Algebraic curves in cryptography
(Discrete mathematics and its applications / Kenneth H. Rosen, series editor)(A Chapman & Hall book)
CRC Press, Taylor & Francis Group, c2013
- : hardback
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Hokkaido University, Library, Graduate School of Science, Faculty of Science and School of Science数学
: hardback/L 6462080337178
Note
Includes bibliographical references (p. 301-313) and index
Description and Table of Contents
Description
The reach of algebraic curves in cryptography goes far beyond elliptic curve or public key cryptography yet these other application areas have not been systematically covered in the literature. Addressing this gap, Algebraic Curves in Cryptography explores the rich uses of algebraic curves in a range of cryptographic applications, such as secret sharing, frameproof codes, and broadcast encryption.
Suitable for researchers and graduate students in mathematics and computer science, this self-contained book is one of the first to focus on many topics in cryptography involving algebraic curves. After supplying the necessary background on algebraic curves, the authors discuss error-correcting codes, including algebraic geometry codes, and provide an introduction to elliptic curves. Each chapter in the remainder of the book deals with a selected topic in cryptography (other than elliptic curve cryptography). The topics covered include secret sharing schemes, authentication codes, frameproof codes, key distribution schemes, broadcast encryption, and sequences. Chapters begin with introductory material before featuring the application of algebraic curves.
Table of Contents
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.
by "Nielsen BookData"