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Sinopsis
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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San Ling is a professor in the Division of Mathematical Sciences, School of Physical and Mathematical Sciences at Nanyang Technological University. He received a PhD in mathematics from the University of California, Berkeley. His research interests include the arithmetic of modular curves and application of number theory to combinatorial designs, coding theory, cryptography, and sequences.
Huaxiong Wang is an associate professor in the Division of Mathematical Sciences at Nanyang Technological University. He is also an honorary fellow at Macquarie University. He received a PhD in mathematics from the University of Haifa and a PhD in computer science from the University of Wollongong, Australia. His research interests include cryptography, information security, coding theory, combinatorics, and theoretical computer science.
Chaoping Xing is a professor at Nanyang Technological University. He received a PhD from the University of Science and Technology of China. His research focuses on the areas of algebraic curves over finite fields, coding theory, cryptography, and quasi-Monte Carlo methods.
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Algebraic Curves in Cryptography
Publicado por
CRC Press, Boca Raton, 2013
ISBN 10: 1420079468
ISBN 13: 9781420079463
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Librería: Feldman's Books, Menlo Park, CA, Estados Unidos de America
Calificación del vendedor: 4 de 5 estrellas
Hardcover. Condición: Very Fine. First Edition. No markings. Nº de ref. del artículo: 00043991
Cantidad disponible: 1 disponibles
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Algebraic Curves in Cryptography
Librería: moluna, Greven, Alemania
Calificación del vendedor: 5 de 5 estrellas
Gebunden. Condición: New. San Ling is a professor in the Division of Mathematical Sciences, School of Physical and Mathematical Sciences at Nanyang Technological University. He received a PhD in mathematics from the University of California, Berkeley. His researc. Nº de ref. del artículo: 902485437
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Algebraic Curves in Cryptography
Publicado por
Taylor & Francis Ltd Jun 2013, 2013
ISBN 10: 1420079468
ISBN 13: 9781420079463
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Librería: AHA-BUCH GmbH, Einbeck, Alemania
Calificación del vendedor: 5 de 5 estrellas
Buch. Condición: Neu. Neuware - Systematically addressing the many applications of algebraic geometry to cryptography and coding theory, this book provides an introduction to important concepts and demonstrates how to facilitate the new and fruitful connections between the two exciting areas of algebraic geometry and cryptography. It expounds on a wide range of applications such as secret sharing, authentication codes, key distributions, frameproof codes, signatures, and broadcast encryption. Each chapter contains a section to show the connections between algebraic geometry and the specified cryptographic topic and to demonstrate how algebraic geometry is used. Nº de ref. del artículo: 9781420079463
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