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Algebraic curves in cryptography
By: Ling, San.
Contributor(s): Wang, Huaxiong | Xing, Chaoping.
Material type:
BookSeries: Discrete mathematics and its applications.Publisher: New York : CRC, ©2013Description: xvii, 321 p. : ill. ; 25 cm.ISBN: 9781420079463.Subject(s): Coding theory | Curves, Algebraic | Data encryption (Computer science) | MATHEMATICS / Combinatorics | COMPUTERS / Security / General | MATHEMATICS / Number TheorySummary: "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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IIITD Reference | Mathematics | REF 516.352 LIN-A (Browse shelf) | Available | 003956 |
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| REF 516.35 SHA-B Basic algebraic geometry 1 : | REF 516.35 SHA-B Basic algebraic geometry 2 : | REF 516.35 ZIE-L Lectures on polytopes | REF 516.352 LIN-A Algebraic curves in cryptography | REF 516.352 WAS-E Elliptic curves : | REF 516.5 COX-P Projective geometry | REF 517 RUD-P Principles of mathematical analysis |
Includes bibliographical references and index.
"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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