Elliptic Curves and Their Applications to Cryptography: An Introduction

Author:   Andreas Enge
Publisher:   Springer
Edition:   1999 ed.
ISBN:  

9780792385899


Pages:   164
Publication Date:   31 August 1999
Format:   Hardback
Availability:   In Print   Availability explained
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Elliptic Curves and Their Applications to Cryptography: An Introduction


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Overview

Since their invention in the late 1970s, public key cryptosystems have become an indespensable asset in establishing private and secure electronic communication, and this need, given the tremendous expansion of the Internet, is likely to continue growing. Elliptic curve cryptosystems represent the state of the art for such systems. This volume 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.

Full Product Details

Author:   Andreas Enge
Publisher:   Springer
Imprint:   Springer
Edition:   1999 ed.
Dimensions:   Width: 15.50cm , Height: 1.20cm , Length: 23.50cm
Weight:   0.970kg
ISBN:  

9780792385899


ISBN 10:   0792385896
Pages:   164
Publication Date:   31 August 1999
Audience:   College/higher education ,  Professional and scholarly ,  Undergraduate ,  Postgraduate, Research & Scholarly
Format:   Hardback
Publisher's Status:   Active
Availability:   In Print   Availability explained
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

Table of Contents

1. Public Key Cryptography.- 2. The Group Law on Elliptic Curves.- 3. Elliptic Curves over Finite Fields.- 4. The Discrete Logarithm Problem.- 5. Counting Points on Elliptic Curves.- References.

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