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Algebraic Curves in Cryptography

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by San Ling & Huaxiong Wang & Chaoping Xing
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Algebraic Curves in Cryptography by San Ling & Huaxiong Wang & Chaoping Xing

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.

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Ebook Details
Pages: 340
Size: 13.0 MB
Publisher: CRC Press
Date published:   2013
ISBN: 9781420079470 (DRM-PDF)

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This product is listed in the following categories:

Nonfiction > Computers > Security
Nonfiction > Mathematics > Number Theory
Nonfiction > Mathematics > Combinatorics

These authors have products in the following categories:

Nonfiction > Mathematics > Geometry > Algebraic
Nonfiction > Mathematics > Algebra
Nonfiction > Mathematics > Applied
Nonfiction > Technology > Telecommunications
Nonfiction > Computers > Information Theory
Nonfiction > Computers > Security
Nonfiction > Mathematics > Number Theory
Nonfiction > Mathematics > Combinatorics

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