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Elliptic Curve Public Key Cryptosystems : The Springer International Series in Engineering and Computer Science - A. J. Menezes

Elliptic Curve Public Key Cryptosystems

The Springer International Series in Engineering and Computer Science

Hardcover Published: 31st July 1993
ISBN: 9780792393689
Number Of Pages: 128

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Elliptic curves have been intensively studied in algebraic geometry and number theory. 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. Elliptic curve cryptosystems potentially provide equivalent security to the existing public key schemes, but with shorter key lengths. Having short key lengths means smaller bandwidth and memory requirements and can be a crucial factor in some applications, for example the design of smart card systems. The book examines various issues which arise in the secure and efficient implementation of elliptic curve systems.
Elliptic Curve Public Key Cryptosystems is a valuable reference resource for researchers in academia, government and industry who are concerned with issues of data security. Because of the comprehensive treatment, the book is also suitable for use as a text for advanced courses on the subject.

Foreword
Preface
Introduction to Public Key Cryptographyp. 1
Introduction to Elliptic Curvesp. 15
Isomorphism Classes of Elliptic Curves over Finite Fieldsp. 35
The Discrete Logarithm Problemp. 49
The Elliptic Curve Logarithm Problemp. 61
Implementation of Elliptic Curve Cryptosystemsp. 83
Counting Points on Elliptic Curves Over F[subscript 2]mp. 101
Bibliographyp. 117
Indexp. 127
Table of Contents provided by Blackwell. All Rights Reserved.

ISBN: 9780792393689
ISBN-10: 0792393686
Series: The Springer International Series in Engineering and Computer Science
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 128
Published: 31st July 1993
Publisher: Springer
Country of Publication: NL
Dimensions (cm): 23.5 x 15.5  x 0.64
Weight (kg): 0.84