Algebraic curves in cryptography
Material type: TextSeries: Discrete mathematics and its applicationsPublication details: London CRC 2013Description: xvii, 321 pages : illustrationsISBN: 9781420079463Subject(s): Coding theory | Curves, Algebraic | Data encryption-Computer science | Combinatorics-Mathematics | Computer science | Number Theory | MathematicsDDC classification: 516.352 Summary: "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. "--Item type | Current library | Collection | Call number | Status | Date due | Barcode |
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BK | Kannur University Central Library Stack | Stack | 516.352 LIN/A (Browse shelf (Opens below)) | Available | 37614 |
Browsing Kannur University Central Library shelves, Shelving location: Stack, Collection: Stack Close shelf browser (Hides shelf browser)
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516.35 SMI/A Algebraic geometry | 516.352 KEN/G Guide to plane algebraic curves / | 516.352 KEN/G A guide to plane algebraic curves / | 516.352 LIN/A Algebraic curves in cryptography | 516.353 HAC/C Classification of higher dimensional algebraic varieties | 516.36 ARA/A Algebraic geometry over the complex numbers / | 516.36 BAR/E Elementary differential geometry |
"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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