Algebraic Curves in Cryptography
Book Details:
Publisher: | Chapman and Hall/CRC |
Series: |
CRC Press
|
Author: | San Ling |
Edition: | 1 |
ISBN-10: | 1420079468 |
ISBN-13: | 9781420079463 |
Pages: | 340 |
Published: | Jun 13 2013 |
Posted: | Nov 19 2014 |
Language: | English |
Book format: | PDF |
Book size: | 1.87 MB |
Book 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.
From the reviews: "This is a textbook in cryptography with emphasis on algebraic methods. It is supported by many exercises (with answers) making it appropriate for a course in mathematics or computer science. [...] Overall, this is an excellent expository text, and will be very useful to both the student and researcher." Mathematical Reviews...
Requires only a basic knowledge of mathematics and is geared toward the general educated specialists. Includes agallery of color images and Mathematica code listings. Computer graphics is important in many areas including engineering design, architecture, education, and computer art and animation. This book examines a wide array of current methods used in creating real-looking objects in the computer, one of the main aims of computer graphics. Good foundational mathematical introduction to curves and surfaces; no advanced math required. Topics organized by different interpolation/approximation techniques, each technique providing useful information about curves and surfaces. Exposition motivated by numerous examples and exercises sprinkled throughout...
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