Guide to Elliptic Curve Cryptography, Darrel Hankerson; Alfred J. Menezes; Scott Vanston

Автор: Andreas Enge
Название: Elliptic Curves and Their Applications to Cryptography
ISBN: 1461373727 ISBN-13(EAN): 9781461373728
Издательство: Springer
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Цена: 214280.00 T
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Описание: Since their invention in the late seventies, public key cryptosystems have become an indispensable asset in establishing private and secure electronic communication, and this need, given the tremendous growth of the Internet, is likely to continue growing. Elliptic curve cryptosystems represent the state of the art for such systems.
Elliptic Curves and Their Applications to Cryptography: An Introduction provides a comprehensive and self-contained introduction to elliptic curves and how they are employed to secure public key cryptosystems. Even though the elegant mathematical theory underlying cryptosystems is considerably more involved than for other systems, this text requires the reader to have only an elementary knowledge of basic algebra. The text nevertheless leads to problems at the forefront of current research, featuring chapters on point counting algorithms and security issues. The Adopted unifying approach treats with equal care elliptic curves over fields of even characteristic, which are especially suited for hardware implementations, and curves over fields of odd characteristic, which have traditionally received more attention.
Elliptic Curves and Their Applications: An Introduction has been used successfully for teaching advanced undergraduate courses. It will be of greatest interest to mathematicians, computer scientists, and engineers who are curious about elliptic curve cryptography in practice, without losing the beauty of the underlying mathematics.

Автор: Alfred J. Menezes
Название: Elliptic Curve Public Key Cryptosystems
ISBN: 0792393686 ISBN-13(EAN): 9780792393689
Издательство: Springer
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Цена: 130610.00 T
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Описание: Elliptic curve cryptosystems provide equivalent security to the existing public key schemes, but with shorter key lengths. This book examines various issues which arise in the secure and implementation of elliptic curve systems. It is for researchers in academia, government and industry who are concerned with issues of data security.

Автор: Alfred J. Menezes
Название: Elliptic Curve Public Key Cryptosystems
ISBN: 1461364035 ISBN-13(EAN): 9781461364030
Издательство: Springer
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Цена: 113190.00 T
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Описание: In recent years they have been used in devising efficient algorithms for factoring integers and primality proving, and in the construction of public key cryptosystems. Elliptic Curve Public Key Cryptosystems provides an up-to-date and self-contained treatment of elliptic curve-based public key cryptology.

Автор: David Loeffler; Sarah Livia Zerbes
Название: Elliptic Curves, Modular Forms and Iwasawa Theory
ISBN: 331945031X ISBN-13(EAN): 9783319450315
Издательство: Springer
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Цена: 111790.00 T
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Описание: Celebrating one of the leading figures in contemporary number theory - John H. Coates - on the occasion of his 70th birthday, this collection of contributions covers a range of topics in number theory, concentrating on the arithmetic of elliptic curves, modular forms, and Galois representations.

Автор: Peter S. Landweber
Название: Elliptic Curves and Modular Forms in Algebraic Topology
ISBN: 3540194908 ISBN-13(EAN): 9783540194903
Издательство: Springer
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Цена: 41920.00 T
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Описание: A small conference was held in September 1986 to discuss new applications of elliptic functions and modular forms in algebraic topology, which had led to the introduction of elliptic genera and elliptic cohomology.

Автор: Silverman, Joseph H.
Название: Arithmetic of elliptic curves
ISBN: 0387094938 ISBN-13(EAN): 9780387094939
Издательство: Springer
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Цена: 46540.00 T
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Описание: Treats the arithmetic theory of elliptic curves in its modern formulation, through the use of basic algebraic number theory and algebraic geometry. This book discusses the necessary algebro-geometric results, and offers an exposition of the geometry of elliptic curves, and the formal group of an elliptic curve.

Автор: Haruzo Hida
Название: Elliptic Curves and Arithmetic Invariants
ISBN: 1489990925 ISBN-13(EAN): 9781489990921
Издательство: Springer
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Цена: 88500.00 T
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Описание: This introduction to Shimura varieties covers key topics including non-triviality of arithmetic invariants and special values of L-functions; elliptic curves over complex and p-adic fields; Hecke algebras; elliptic and modular curves over rings and more.

Автор: Ash Avner, Gross Robert
Название: Elliptic Tales: Curves, Counting, and Number Theory
ISBN: 0691163502 ISBN-13(EAN): 9780691163505
Издательство: Wiley
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Цена: 14770.00 T
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Описание: Elliptic Tales describes the latest developments in number theory by looking at one of the most exciting unsolved problems in contemporary mathematics--the Birch and Swinnerton-Dyer Conjecture. In this book, Avner Ash and Robert Gross guide readers through the mathematics they need to understand this captivating problem. The key to the conjecture